data.mv_polynomial.basic ⟷ Mathlib.Data.MvPolynomial.Basic

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

@@ -1326,8 +1326,8 @@ theorem map_eval₂Hom [CommSemiring S₂] (f : R →+* S₁) (g : σ → S₁)
 #print MvPolynomial.eval₂Hom_monomial /-
 theorem eval₂Hom_monomial (f : R →+* S₁) (g : σ → S₁) (d : σ →₀ ℕ) (r : R) :
     eval₂Hom f g (monomial d r) = f r * d.Prod fun i k => g i ^ k := by
-  simp only [monomial_eq, RingHom.map_mul, eval₂_hom_C, Finsupp.prod, RingHom.map_prod,
-    RingHom.map_pow, eval₂_hom_X']
+  simp only [monomial_eq, RingHom.map_mul, eval₂_hom_C, Finsupp.prod, map_prod, RingHom.map_pow,
+    eval₂_hom_X']
 #align mv_polynomial.eval₂_hom_monomial MvPolynomial.eval₂Hom_monomial
 -/
 
@@ -1922,7 +1922,7 @@ theorem aeval_monomial (g : σ → S₁) (d : σ →₀ ℕ) (r : R) :
 theorem eval₂Hom_eq_zero (f : R →+* S₂) (g : σ → S₂) (φ : MvPolynomial σ R)
     (h : ∀ d, φ.coeff d ≠ 0 → ∃ i ∈ d.support, g i = 0) : eval₂Hom f g φ = 0 :=
   by
-  rw [φ.as_sum, RingHom.map_sum, Finset.sum_eq_zero]
+  rw [φ.as_sum, map_sum, Finset.sum_eq_zero]
   intro d hd
   obtain ⟨i, hi, hgi⟩ : ∃ i ∈ d.support, g i = 0 := h d (finsupp.mem_support_iff.mp hd)
   rw [eval₂_hom_monomial, Finsupp.prod, Finset.prod_eq_zero hi, MulZeroClass.mul_zero]

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

@@ -267,7 +267,7 @@ theorem C_mul : (C (a * a') : MvPolynomial σ R) = C a * C a' :=
 #print MvPolynomial.C_pow /-
 @[simp]
 theorem C_pow (a : R) (n : ℕ) : (C (a ^ n) : MvPolynomial σ R) = C a ^ n := by
-  induction n <;> simp [pow_succ, *]
+  induction n <;> simp [pow_succ', *]
 #align mv_polynomial.C_pow MvPolynomial.C_pow
 -/
 
@@ -498,7 +498,7 @@ theorem induction_on_monomial {M : MvPolynomial σ R → Prop} (h_C : ∀ a, M (
       intro e
       induction e
       · simp [ih]
-      · simp [ih, pow_succ', (mul_assoc _ _ _).symm, h_X, e_ih]
+      · simp [ih, pow_succ, (mul_assoc _ _ _).symm, h_X, e_ih]
     simp [add_comm, monomial_add_single, this]
 #align mv_polynomial.induction_on_monomial MvPolynomial.induction_on_monomial
 -/

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

@@ -513,7 +513,7 @@ theorem induction_on' {P : MvPolynomial σ R → Prop} (p : MvPolynomial σ R)
     (h1 : ∀ (u : σ →₀ ℕ) (a : R), P (monomial u a))
     (h2 : ∀ p q : MvPolynomial σ R, P p → P q → P (p + q)) : P p :=
   Finsupp.induction p
-    (suffices P (monomial 0 0) by rwa [monomial_zero] at this 
+    (suffices P (monomial 0 0) by rwa [monomial_zero] at this
     show P (monomial 0 0) from h1 0 0)
     fun a b f ha hb hPf => h2 _ _ (h1 _ _) hPf
 #align mv_polynomial.induction_on' MvPolynomial.induction_on'
@@ -842,7 +842,7 @@ theorem coeff_X_pow [DecidableEq σ] (i : σ) (m) (k : ℕ) :
   by
   have := coeff_monomial m (Finsupp.single i k) (1 : R)
   rwa [@monomial_eq _ _ (1 : R) (Finsupp.single i k) _, C_1, one_mul, Finsupp.prod_single_index] at
-    this 
+    this
   exact pow_zero _
 #align mv_polynomial.coeff_X_pow MvPolynomial.coeff_X_pow
 -/
@@ -939,7 +939,7 @@ theorem support_sdiff_support_subset_support_add [DecidableEq σ] (p q : MvPolyn
     p.support \ q.support ⊆ (p + q).support :=
   by
   intro m hm
-  simp only [Classical.not_not, mem_support_iff, Finset.mem_sdiff, Ne.def] at hm 
+  simp only [Classical.not_not, mem_support_iff, Finset.mem_sdiff, Ne.def] at hm
   simp [hm.2, hm.1]
 #align mv_polynomial.support_sdiff_support_subset_support_add MvPolynomial.support_sdiff_support_subset_support_add
 -/
@@ -968,10 +968,10 @@ theorem coeff_mul_monomial' (m) (s : σ →₀ ℕ) (r : R) (p : MvPolynomial σ
     congr with t
     rw [tsub_add_cancel_of_le h]
   · rw [← not_mem_support_iff]; intro hm; apply h
-    have H := support_mul _ _ hm; simp only [Finset.mem_biUnion] at H 
+    have H := support_mul _ _ hm; simp only [Finset.mem_biUnion] at H
     rcases H with ⟨j, hj, i', hi', H⟩
-    rw [support_monomial, if_neg hr, Finset.mem_singleton] at hi' ; subst i'
-    rw [Finset.mem_singleton] at H ; subst m
+    rw [support_monomial, if_neg hr, Finset.mem_singleton] at hi'; subst i'
+    rw [Finset.mem_singleton] at H; subst m
     exact le_add_left le_rfl
 #align mv_polynomial.coeff_mul_monomial' MvPolynomial.coeff_mul_monomial'
 -/
@@ -1047,7 +1047,7 @@ theorem C_dvd_iff_dvd_coeff (r : R) (φ : MvPolynomial σ R) : C r ∣ φ ↔ 
     simp only [coeff_C_mul, coeff_sum, coeff_monomial, Finset.sum_ite_eq', c']
     split_ifs with hi hi
     · rw [hc]
-    · rw [not_mem_support_iff] at hi ; rwa [MulZeroClass.mul_zero]
+    · rw [not_mem_support_iff] at hi; rwa [MulZeroClass.mul_zero]
 #align mv_polynomial.C_dvd_iff_dvd_coeff MvPolynomial.C_dvd_iff_dvd_coeff
 -/
 
@@ -1360,7 +1360,7 @@ theorem eval₂_congr (g₁ g₂ : σ → S₁)
   apply Finset.prod_congr rfl
   intro i hi; dsimp; congr 1
   apply h hi
-  rwa [Finsupp.mem_support_iff] at hc 
+  rwa [Finsupp.mem_support_iff] at hc
 #align mv_polynomial.eval₂_congr MvPolynomial.eval₂_congr
 -/
 
@@ -1548,7 +1548,7 @@ theorem eval₂_eq_eval_map (g : σ → S₁) (p : MvPolynomial σ R) : p.eval
   by
   unfold map eval; simp only [coe_eval₂_hom]
   have h := eval₂_comp_left (eval₂_hom _ g)
-  dsimp at h 
+  dsimp at h
   rw [h]
   congr
   · ext1 a; simp only [coe_eval₂_hom, RingHom.id_apply, comp_app, eval₂_C, RingHom.coe_comp]
@@ -1696,8 +1696,8 @@ theorem support_map_of_injective (p : MvPolynomial σ R) {f : R →+* S₁} (hf
   rw [mem_support_iff]
   contrapose! hx
   simp only [Classical.not_not, mem_support_iff]
-  change (map f p).coeff x = 0 at hx 
-  rw [coeff_map, ← f.map_zero] at hx 
+  change (map f p).coeff x = 0 at hx
+  rw [coeff_map, ← f.map_zero] at hx
   exact hf hx
 #align mv_polynomial.support_map_of_injective MvPolynomial.support_map_of_injective
 -/
@@ -2082,12 +2082,12 @@ theorem eval₂_mem {f : R →+* S} {p : MvPolynomial σ R} {s : subS}
     simpa only [coeff_add, coeff_monomial, if_pos rfl, MvPolynomial.not_mem_support_iff.1 ha,
       add_zero] using hs a
   have := hs i
-  rw [coeff_add, coeff_monomial] at this 
-  split_ifs at this  with h h
+  rw [coeff_add, coeff_monomial] at this
+  split_ifs at this with h h
   · subst h
     rw [MvPolynomial.not_mem_support_iff.1 ha, map_zero]
     exact zero_mem _
-  · rwa [zero_add] at this 
+  · rwa [zero_add] at this
 #align mv_polynomial.eval₂_mem MvPolynomial.eval₂_mem
 -/
 

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

@@ -103,7 +103,7 @@ section Instances
 #print MvPolynomial.decidableEqMvPolynomial /-
 instance decidableEqMvPolynomial [CommSemiring R] [DecidableEq σ] [DecidableEq R] :
     DecidableEq (MvPolynomial σ R) :=
-  Finsupp.decidableEq
+  Finsupp.instDecidableEq
 #align mv_polynomial.decidable_eq_mv_polynomial MvPolynomial.decidableEqMvPolynomial
 -/
 

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

@@ -664,13 +664,15 @@ theorem support_add [DecidableEq σ] : (p + q).support ⊆ p.support ∪ q.suppo
 -/
 
 #print MvPolynomial.support_X /-
-theorem support_X [Nontrivial R] : (X n : MvPolynomial σ R).support = {single n 1} := by classical
+theorem support_X [Nontrivial R] : (X n : MvPolynomial σ R).support = {single n 1} := by
+  classical rw [X, support_monomial, if_neg] <;> exact one_ne_zero
 #align mv_polynomial.support_X MvPolynomial.support_X
 -/
 
 #print MvPolynomial.support_X_pow /-
 theorem support_X_pow [Nontrivial R] (s : σ) (n : ℕ) :
-    (X s ^ n : MvPolynomial σ R).support = {Finsupp.single s n} := by classical
+    (X s ^ n : MvPolynomial σ R).support = {Finsupp.single s n} := by
+  classical rw [X_pow_eq_monomial, support_monomial, if_neg (one_ne_zero' R)]
 #align mv_polynomial.support_X_pow MvPolynomial.support_X_pow
 -/
 
@@ -854,7 +856,8 @@ theorem coeff_X' [DecidableEq σ] (i : σ) (m) :
 
 #print MvPolynomial.coeff_X /-
 @[simp]
-theorem coeff_X (i : σ) : coeff (single i 1) (X i : MvPolynomial σ R) = 1 := by classical
+theorem coeff_X (i : σ) : coeff (single i 1) (X i : MvPolynomial σ R) = 1 := by
+  classical rw [coeff_X', if_pos rfl]
 #align mv_polynomial.coeff_X MvPolynomial.coeff_X
 -/
 
@@ -862,6 +865,9 @@ theorem coeff_X (i : σ) : coeff (single i 1) (X i : MvPolynomial σ R) = 1 := b
 @[simp]
 theorem coeff_C_mul (m) (a : R) (p : MvPolynomial σ R) : coeff m (C a * p) = a * coeff m p := by
   classical
+  rw [mul_def, sum_C]
+  · simp (config := { contextual := true }) [sum_def, coeff_sum]
+  simp
 #align mv_polynomial.coeff_C_mul MvPolynomial.coeff_C_mul
 -/
 
@@ -952,7 +958,21 @@ theorem support_symmDiff_support_subset_support_add [DecidableEq σ] (p q : MvPo
 
 #print MvPolynomial.coeff_mul_monomial' /-
 theorem coeff_mul_monomial' (m) (s : σ →₀ ℕ) (r : R) (p : MvPolynomial σ R) :
-    coeff m (p * monomial s r) = if s ≤ m then coeff (m - s) p * r else 0 := by classical
+    coeff m (p * monomial s r) = if s ≤ m then coeff (m - s) p * r else 0 := by
+  classical
+  obtain rfl | hr := eq_or_ne r 0
+  · simp only [monomial_zero, coeff_zero, MulZeroClass.mul_zero, if_t_t]
+  haveI : Nontrivial R := nontrivial_of_ne _ _ hr
+  split_ifs with h h
+  · conv_rhs => rw [← coeff_mul_monomial _ s]
+    congr with t
+    rw [tsub_add_cancel_of_le h]
+  · rw [← not_mem_support_iff]; intro hm; apply h
+    have H := support_mul _ _ hm; simp only [Finset.mem_biUnion] at H 
+    rcases H with ⟨j, hj, i', hi', H⟩
+    rw [support_monomial, if_neg hr, Finset.mem_singleton] at hi' ; subst i'
+    rw [Finset.mem_singleton] at H ; subst m
+    exact le_add_left le_rfl
 #align mv_polynomial.coeff_mul_monomial' MvPolynomial.coeff_mul_monomial'
 -/
 
@@ -1019,6 +1039,15 @@ theorem C_dvd_iff_dvd_coeff (r : R) (φ : MvPolynomial σ R) : C r ∣ φ ↔ 
   · intro h
     choose c hc using h
     classical
+    let c' : (σ →₀ ℕ) → R := fun i => if i ∈ φ.support then c i else 0
+    let ψ : MvPolynomial σ R := ∑ i in φ.support, monomial i (c' i)
+    use ψ
+    apply MvPolynomial.ext
+    intro i
+    simp only [coeff_C_mul, coeff_sum, coeff_monomial, Finset.sum_ite_eq', c']
+    split_ifs with hi hi
+    · rw [hc]
+    · rw [not_mem_support_iff] at hi ; rwa [MulZeroClass.mul_zero]
 #align mv_polynomial.C_dvd_iff_dvd_coeff MvPolynomial.C_dvd_iff_dvd_coeff
 -/
 
@@ -1157,7 +1186,8 @@ section
 
 #print MvPolynomial.eval₂_add /-
 @[simp]
-theorem eval₂_add : (p + q).eval₂ f g = p.eval₂ f g + q.eval₂ f g := by classical
+theorem eval₂_add : (p + q).eval₂ f g = p.eval₂ f g + q.eval₂ f g := by
+  classical exact Finsupp.sum_add_index (by simp [f.map_zero]) (by simp [add_mul, f.map_add])
 #align mv_polynomial.eval₂_add MvPolynomial.eval₂_add
 -/
 
@@ -1193,6 +1223,18 @@ theorem eval₂_X (n) : (X n).eval₂ f g = g n := by
 theorem eval₂_mul_monomial :
     ∀ {s a}, (p * monomial s a).eval₂ f g = p.eval₂ f g * f a * s.Prod fun n e => g n ^ e := by
   classical
+  apply MvPolynomial.induction_on p
+  · intro a' s a
+    simp [C_mul_monomial, eval₂_monomial, f.map_mul]
+  · intro p q ih_p ih_q; simp [add_mul, eval₂_add, ih_p, ih_q]
+  · intro p n ih s a
+    exact
+      calc
+        (p * X n * monomial s a).eval₂ f g = (p * monomial (single n 1 + s) a).eval₂ f g := by
+          rw [monomial_single_add, pow_one, mul_assoc]
+        _ = (p * monomial (single n 1) 1).eval₂ f g * f a * s.prod fun n e => g n ^ e := by
+          simp [ih, prod_single_index, prod_add_index, pow_one, pow_add, mul_assoc, mul_left_comm,
+            f.map_one, -add_comm]
 #align mv_polynomial.eval₂_mul_monomial MvPolynomial.eval₂_mul_monomial
 -/
 
@@ -1541,6 +1583,13 @@ theorem map_eval₂ (f : R →+* S₁) (g : S₂ → MvPolynomial S₃ R) (p : M
 #print MvPolynomial.coeff_map /-
 theorem coeff_map (p : MvPolynomial σ R) : ∀ m : σ →₀ ℕ, coeff m (map f p) = f (coeff m p) := by
   classical
+  apply MvPolynomial.induction_on p <;> clear p
+  · intro r m; rw [map_C]; simp only [coeff_C]; split_ifs; · rfl; rw [f.map_zero]
+  · intro p q hp hq m; simp only [hp, hq, (map f).map_add, coeff_add]; rw [f.map_add]
+  · intro p i hp m; simp only [hp, (map f).map_hMul, map_X]
+    simp only [hp, mem_support_iff, coeff_mul_X']
+    split_ifs; · rfl
+    rw [f.map_zero]
 #align mv_polynomial.coeff_map MvPolynomial.coeff_map
 -/
 
@@ -2017,7 +2066,28 @@ variable {S subS : Type _} [CommSemiring S] [SetLike subS S] [SubsemiringClass s
 #print MvPolynomial.eval₂_mem /-
 theorem eval₂_mem {f : R →+* S} {p : MvPolynomial σ R} {s : subS}
     (hs : ∀ i ∈ p.support, f (p.coeff i) ∈ s) {v : σ → S} (hv : ∀ i, v i ∈ s) :
-    MvPolynomial.eval₂ f v p ∈ s := by classical
+    MvPolynomial.eval₂ f v p ∈ s := by
+  classical
+  replace hs : ∀ i, f (p.coeff i) ∈ s
+  · intro i
+    by_cases hi : i ∈ p.support
+    · exact hs i hi
+    · rw [MvPolynomial.not_mem_support_iff.1 hi, f.map_zero]
+      exact zero_mem s
+  induction' p using MvPolynomial.induction_on''' with a a b f ha hb0 ih generalizing hs
+  · simpa using hs 0
+  rw [eval₂_add, eval₂_monomial]
+  refine' add_mem (mul_mem _ <| prod_mem fun i hi => pow_mem (hv _) _) (ih fun i => _)
+  ·
+    simpa only [coeff_add, coeff_monomial, if_pos rfl, MvPolynomial.not_mem_support_iff.1 ha,
+      add_zero] using hs a
+  have := hs i
+  rw [coeff_add, coeff_monomial] at this 
+  split_ifs at this  with h h
+  · subst h
+    rw [MvPolynomial.not_mem_support_iff.1 ha, map_zero]
+    exact zero_mem _
+  · rwa [zero_add] at this 
 #align mv_polynomial.eval₂_mem MvPolynomial.eval₂_mem
 -/
 

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

@@ -664,15 +664,13 @@ theorem support_add [DecidableEq σ] : (p + q).support ⊆ p.support ∪ q.suppo
 -/
 
 #print MvPolynomial.support_X /-
-theorem support_X [Nontrivial R] : (X n : MvPolynomial σ R).support = {single n 1} := by
-  classical rw [X, support_monomial, if_neg] <;> exact one_ne_zero
+theorem support_X [Nontrivial R] : (X n : MvPolynomial σ R).support = {single n 1} := by classical
 #align mv_polynomial.support_X MvPolynomial.support_X
 -/
 
 #print MvPolynomial.support_X_pow /-
 theorem support_X_pow [Nontrivial R] (s : σ) (n : ℕ) :
-    (X s ^ n : MvPolynomial σ R).support = {Finsupp.single s n} := by
-  classical rw [X_pow_eq_monomial, support_monomial, if_neg (one_ne_zero' R)]
+    (X s ^ n : MvPolynomial σ R).support = {Finsupp.single s n} := by classical
 #align mv_polynomial.support_X_pow MvPolynomial.support_X_pow
 -/
 
@@ -856,8 +854,7 @@ theorem coeff_X' [DecidableEq σ] (i : σ) (m) :
 
 #print MvPolynomial.coeff_X /-
 @[simp]
-theorem coeff_X (i : σ) : coeff (single i 1) (X i : MvPolynomial σ R) = 1 := by
-  classical rw [coeff_X', if_pos rfl]
+theorem coeff_X (i : σ) : coeff (single i 1) (X i : MvPolynomial σ R) = 1 := by classical
 #align mv_polynomial.coeff_X MvPolynomial.coeff_X
 -/
 
@@ -865,9 +862,6 @@ theorem coeff_X (i : σ) : coeff (single i 1) (X i : MvPolynomial σ R) = 1 := b
 @[simp]
 theorem coeff_C_mul (m) (a : R) (p : MvPolynomial σ R) : coeff m (C a * p) = a * coeff m p := by
   classical
-  rw [mul_def, sum_C]
-  · simp (config := { contextual := true }) [sum_def, coeff_sum]
-  simp
 #align mv_polynomial.coeff_C_mul MvPolynomial.coeff_C_mul
 -/
 
@@ -958,21 +952,7 @@ theorem support_symmDiff_support_subset_support_add [DecidableEq σ] (p q : MvPo
 
 #print MvPolynomial.coeff_mul_monomial' /-
 theorem coeff_mul_monomial' (m) (s : σ →₀ ℕ) (r : R) (p : MvPolynomial σ R) :
-    coeff m (p * monomial s r) = if s ≤ m then coeff (m - s) p * r else 0 := by
-  classical
-  obtain rfl | hr := eq_or_ne r 0
-  · simp only [monomial_zero, coeff_zero, MulZeroClass.mul_zero, if_t_t]
-  haveI : Nontrivial R := nontrivial_of_ne _ _ hr
-  split_ifs with h h
-  · conv_rhs => rw [← coeff_mul_monomial _ s]
-    congr with t
-    rw [tsub_add_cancel_of_le h]
-  · rw [← not_mem_support_iff]; intro hm; apply h
-    have H := support_mul _ _ hm; simp only [Finset.mem_biUnion] at H 
-    rcases H with ⟨j, hj, i', hi', H⟩
-    rw [support_monomial, if_neg hr, Finset.mem_singleton] at hi' ; subst i'
-    rw [Finset.mem_singleton] at H ; subst m
-    exact le_add_left le_rfl
+    coeff m (p * monomial s r) = if s ≤ m then coeff (m - s) p * r else 0 := by classical
 #align mv_polynomial.coeff_mul_monomial' MvPolynomial.coeff_mul_monomial'
 -/
 
@@ -1039,15 +1019,6 @@ theorem C_dvd_iff_dvd_coeff (r : R) (φ : MvPolynomial σ R) : C r ∣ φ ↔ 
   · intro h
     choose c hc using h
     classical
-    let c' : (σ →₀ ℕ) → R := fun i => if i ∈ φ.support then c i else 0
-    let ψ : MvPolynomial σ R := ∑ i in φ.support, monomial i (c' i)
-    use ψ
-    apply MvPolynomial.ext
-    intro i
-    simp only [coeff_C_mul, coeff_sum, coeff_monomial, Finset.sum_ite_eq', c']
-    split_ifs with hi hi
-    · rw [hc]
-    · rw [not_mem_support_iff] at hi ; rwa [MulZeroClass.mul_zero]
 #align mv_polynomial.C_dvd_iff_dvd_coeff MvPolynomial.C_dvd_iff_dvd_coeff
 -/
 
@@ -1186,8 +1157,7 @@ section
 
 #print MvPolynomial.eval₂_add /-
 @[simp]
-theorem eval₂_add : (p + q).eval₂ f g = p.eval₂ f g + q.eval₂ f g := by
-  classical exact Finsupp.sum_add_index (by simp [f.map_zero]) (by simp [add_mul, f.map_add])
+theorem eval₂_add : (p + q).eval₂ f g = p.eval₂ f g + q.eval₂ f g := by classical
 #align mv_polynomial.eval₂_add MvPolynomial.eval₂_add
 -/
 
@@ -1223,18 +1193,6 @@ theorem eval₂_X (n) : (X n).eval₂ f g = g n := by
 theorem eval₂_mul_monomial :
     ∀ {s a}, (p * monomial s a).eval₂ f g = p.eval₂ f g * f a * s.Prod fun n e => g n ^ e := by
   classical
-  apply MvPolynomial.induction_on p
-  · intro a' s a
-    simp [C_mul_monomial, eval₂_monomial, f.map_mul]
-  · intro p q ih_p ih_q; simp [add_mul, eval₂_add, ih_p, ih_q]
-  · intro p n ih s a
-    exact
-      calc
-        (p * X n * monomial s a).eval₂ f g = (p * monomial (single n 1 + s) a).eval₂ f g := by
-          rw [monomial_single_add, pow_one, mul_assoc]
-        _ = (p * monomial (single n 1) 1).eval₂ f g * f a * s.prod fun n e => g n ^ e := by
-          simp [ih, prod_single_index, prod_add_index, pow_one, pow_add, mul_assoc, mul_left_comm,
-            f.map_one, -add_comm]
 #align mv_polynomial.eval₂_mul_monomial MvPolynomial.eval₂_mul_monomial
 -/
 
@@ -1583,13 +1541,6 @@ theorem map_eval₂ (f : R →+* S₁) (g : S₂ → MvPolynomial S₃ R) (p : M
 #print MvPolynomial.coeff_map /-
 theorem coeff_map (p : MvPolynomial σ R) : ∀ m : σ →₀ ℕ, coeff m (map f p) = f (coeff m p) := by
   classical
-  apply MvPolynomial.induction_on p <;> clear p
-  · intro r m; rw [map_C]; simp only [coeff_C]; split_ifs; · rfl; rw [f.map_zero]
-  · intro p q hp hq m; simp only [hp, hq, (map f).map_add, coeff_add]; rw [f.map_add]
-  · intro p i hp m; simp only [hp, (map f).map_hMul, map_X]
-    simp only [hp, mem_support_iff, coeff_mul_X']
-    split_ifs; · rfl
-    rw [f.map_zero]
 #align mv_polynomial.coeff_map MvPolynomial.coeff_map
 -/
 
@@ -2066,28 +2017,7 @@ variable {S subS : Type _} [CommSemiring S] [SetLike subS S] [SubsemiringClass s
 #print MvPolynomial.eval₂_mem /-
 theorem eval₂_mem {f : R →+* S} {p : MvPolynomial σ R} {s : subS}
     (hs : ∀ i ∈ p.support, f (p.coeff i) ∈ s) {v : σ → S} (hv : ∀ i, v i ∈ s) :
-    MvPolynomial.eval₂ f v p ∈ s := by
-  classical
-  replace hs : ∀ i, f (p.coeff i) ∈ s
-  · intro i
-    by_cases hi : i ∈ p.support
-    · exact hs i hi
-    · rw [MvPolynomial.not_mem_support_iff.1 hi, f.map_zero]
-      exact zero_mem s
-  induction' p using MvPolynomial.induction_on''' with a a b f ha hb0 ih generalizing hs
-  · simpa using hs 0
-  rw [eval₂_add, eval₂_monomial]
-  refine' add_mem (mul_mem _ <| prod_mem fun i hi => pow_mem (hv _) _) (ih fun i => _)
-  ·
-    simpa only [coeff_add, coeff_monomial, if_pos rfl, MvPolynomial.not_mem_support_iff.1 ha,
-      add_zero] using hs a
-  have := hs i
-  rw [coeff_add, coeff_monomial] at this 
-  split_ifs at this  with h h
-  · subst h
-    rw [MvPolynomial.not_mem_support_iff.1 ha, map_zero]
-    exact zero_mem _
-  · rwa [zero_add] at this 
+    MvPolynomial.eval₂ f v p ∈ s := by classical
 #align mv_polynomial.eval₂_mem MvPolynomial.eval₂_mem
 -/
 

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

@@ -3,11 +3,11 @@ Copyright (c) 2017 Johannes Hölzl. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Johannes Hölzl, Johan Commelin, Mario Carneiro
 -/
-import Mathbin.Algebra.Algebra.Tower
-import Mathbin.Algebra.MonoidAlgebra.Support
-import Mathbin.Data.Finsupp.Antidiagonal
-import Mathbin.Order.SymmDiff
-import Mathbin.RingTheory.Adjoin.Basic
+import Algebra.Algebra.Tower
+import Algebra.MonoidAlgebra.Support
+import Data.Finsupp.Antidiagonal
+import Order.SymmDiff
+import RingTheory.Adjoin.Basic
 
 #align_import data.mv_polynomial.basic from "leanprover-community/mathlib"@"c8734e8953e4b439147bd6f75c2163f6d27cdce6"
 

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

@@ -1441,7 +1441,7 @@ theorem eval_X : ∀ n, eval f (X n) = f n :=
 #print MvPolynomial.smul_eval /-
 @[simp]
 theorem smul_eval (x) (p : MvPolynomial σ R) (s) : eval x (s • p) = s * eval x p := by
-  rw [smul_eq_C_mul, (eval x).map_mul, eval_C]
+  rw [smul_eq_C_mul, (eval x).map_hMul, eval_C]
 #align mv_polynomial.smul_eval MvPolynomial.smul_eval
 -/
 
@@ -1564,7 +1564,7 @@ theorem eval₂_comp_right {S₂} [CommSemiring S₂] (k : S₁ →+* S₂) (f :
   · intro r; rw [eval₂_C, map_C, eval₂_C]
   · intro p q hp hq; rw [eval₂_add, k.map_add, (map f).map_add, eval₂_add, hp, hq]
   · intro p s hp
-    rw [eval₂_mul, k.map_mul, (map f).map_mul, eval₂_mul, map_X, hp, eval₂_X, eval₂_X]
+    rw [eval₂_mul, k.map_mul, (map f).map_hMul, eval₂_mul, map_X, hp, eval₂_X, eval₂_X]
 #align mv_polynomial.eval₂_comp_right MvPolynomial.eval₂_comp_right
 -/
 
@@ -1576,7 +1576,7 @@ theorem map_eval₂ (f : R →+* S₁) (g : S₂ → MvPolynomial S₃ R) (p : M
   · intro r; rw [eval₂_C, map_C, map_C, eval₂_C]
   · intro p q hp hq; rw [eval₂_add, (map f).map_add, hp, hq, (map f).map_add, eval₂_add]
   · intro p s hp
-    rw [eval₂_mul, (map f).map_mul, hp, (map f).map_mul, map_X, eval₂_mul, eval₂_X, eval₂_X]
+    rw [eval₂_mul, (map f).map_hMul, hp, (map f).map_hMul, map_X, eval₂_mul, eval₂_X, eval₂_X]
 #align mv_polynomial.map_eval₂ MvPolynomial.map_eval₂
 -/
 
@@ -1586,7 +1586,7 @@ theorem coeff_map (p : MvPolynomial σ R) : ∀ m : σ →₀ ℕ, coeff m (map
   apply MvPolynomial.induction_on p <;> clear p
   · intro r m; rw [map_C]; simp only [coeff_C]; split_ifs; · rfl; rw [f.map_zero]
   · intro p q hp hq m; simp only [hp, hq, (map f).map_add, coeff_add]; rw [f.map_add]
-  · intro p i hp m; simp only [hp, (map f).map_mul, map_X]
+  · intro p i hp m; simp only [hp, (map f).map_hMul, map_X]
     simp only [hp, mem_support_iff, coeff_mul_X']
     split_ifs; · rfl
     rw [f.map_zero]

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

@@ -2,11 +2,6 @@
 Copyright (c) 2017 Johannes Hölzl. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Johannes Hölzl, Johan Commelin, Mario Carneiro
-
-! This file was ported from Lean 3 source module data.mv_polynomial.basic
-! leanprover-community/mathlib commit c8734e8953e4b439147bd6f75c2163f6d27cdce6
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathbin.Algebra.Algebra.Tower
 import Mathbin.Algebra.MonoidAlgebra.Support
@@ -14,6 +9,8 @@ import Mathbin.Data.Finsupp.Antidiagonal
 import Mathbin.Order.SymmDiff
 import Mathbin.RingTheory.Adjoin.Basic
 
+#align_import data.mv_polynomial.basic from "leanprover-community/mathlib"@"c8734e8953e4b439147bd6f75c2163f6d27cdce6"
+
 /-!
 # Multivariate polynomials
 

mathlib commit https://github.com/leanprover-community/mathlib/commit/5dc6092d09e5e489106865241986f7f2ad28d4c8

@@ -155,7 +155,7 @@ instance isScalarTower_right [CommSemiring S₁] [DistribSMul R S₁] [IsScalarT
 #print MvPolynomial.smulCommClass_right /-
 instance smulCommClass_right [CommSemiring S₁] [DistribSMul R S₁] [SMulCommClass R S₁ S₁] :
     SMulCommClass R (MvPolynomial σ S₁) (MvPolynomial σ S₁) :=
-  AddMonoidAlgebra.sMulCommClass_self _
+  AddMonoidAlgebra.smulCommClass_self _
 #align mv_polynomial.smul_comm_class_right MvPolynomial.smulCommClass_right
 -/
 

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

@@ -145,15 +145,19 @@ instance [CommSemiring S₁] [SMulZeroClass R S₁] [SMulZeroClass Rᵐᵒᵖ S
 instance [CommSemiring R] [CommSemiring S₁] [Algebra R S₁] : Algebra R (MvPolynomial σ S₁) :=
   AddMonoidAlgebra.algebra
 
+#print MvPolynomial.isScalarTower_right /-
 instance isScalarTower_right [CommSemiring S₁] [DistribSMul R S₁] [IsScalarTower R S₁ S₁] :
     IsScalarTower R (MvPolynomial σ S₁) (MvPolynomial σ S₁) :=
   AddMonoidAlgebra.isScalarTower_self _
 #align mv_polynomial.is_scalar_tower_right MvPolynomial.isScalarTower_right
+-/
 
-instance sMulCommClass_right [CommSemiring S₁] [DistribSMul R S₁] [SMulCommClass R S₁ S₁] :
+#print MvPolynomial.smulCommClass_right /-
+instance smulCommClass_right [CommSemiring S₁] [DistribSMul R S₁] [SMulCommClass R S₁ S₁] :
     SMulCommClass R (MvPolynomial σ S₁) (MvPolynomial σ S₁) :=
   AddMonoidAlgebra.sMulCommClass_self _
-#align mv_polynomial.smul_comm_class_right MvPolynomial.sMulCommClass_right
+#align mv_polynomial.smul_comm_class_right MvPolynomial.smulCommClass_right
+-/
 
 #print MvPolynomial.unique /-
 /-- If `R` is a subsingleton, then `mv_polynomial σ R` has a unique element -/

mathlib commit https://github.com/leanprover-community/mathlib/commit/9f55d0d4363ae59948c33864cbc52e0b12e0e8ce

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Johannes Hölzl, Johan Commelin, Mario Carneiro
 
 ! This file was ported from Lean 3 source module data.mv_polynomial.basic
-! leanprover-community/mathlib commit 2f5b500a507264de86d666a5f87ddb976e2d8de4
+! leanprover-community/mathlib commit c8734e8953e4b439147bd6f75c2163f6d27cdce6
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -145,13 +145,15 @@ instance [CommSemiring S₁] [SMulZeroClass R S₁] [SMulZeroClass Rᵐᵒᵖ S
 instance [CommSemiring R] [CommSemiring S₁] [Algebra R S₁] : Algebra R (MvPolynomial σ S₁) :=
   AddMonoidAlgebra.algebra
 
-#print MvPolynomial.isScalarTower' /-
--- Register with high priority to avoid timeout in `data.mv_polynomial.pderiv`
-instance isScalarTower' [CommSemiring R] [CommSemiring S₁] [Algebra R S₁] :
+instance isScalarTower_right [CommSemiring S₁] [DistribSMul R S₁] [IsScalarTower R S₁ S₁] :
     IsScalarTower R (MvPolynomial σ S₁) (MvPolynomial σ S₁) :=
-  IsScalarTower.right
-#align mv_polynomial.is_scalar_tower' MvPolynomial.isScalarTower'
--/
+  AddMonoidAlgebra.isScalarTower_self _
+#align mv_polynomial.is_scalar_tower_right MvPolynomial.isScalarTower_right
+
+instance sMulCommClass_right [CommSemiring S₁] [DistribSMul R S₁] [SMulCommClass R S₁ S₁] :
+    SMulCommClass R (MvPolynomial σ S₁) (MvPolynomial σ S₁) :=
+  AddMonoidAlgebra.sMulCommClass_self _
+#align mv_polynomial.smul_comm_class_right MvPolynomial.sMulCommClass_right
 
 #print MvPolynomial.unique /-
 /-- If `R` is a subsingleton, then `mv_polynomial σ R` has a unique element -/

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

@@ -145,11 +145,13 @@ instance [CommSemiring S₁] [SMulZeroClass R S₁] [SMulZeroClass Rᵐᵒᵖ S
 instance [CommSemiring R] [CommSemiring S₁] [Algebra R S₁] : Algebra R (MvPolynomial σ S₁) :=
   AddMonoidAlgebra.algebra
 
+#print MvPolynomial.isScalarTower' /-
 -- Register with high priority to avoid timeout in `data.mv_polynomial.pderiv`
 instance isScalarTower' [CommSemiring R] [CommSemiring S₁] [Algebra R S₁] :
     IsScalarTower R (MvPolynomial σ S₁) (MvPolynomial σ S₁) :=
   IsScalarTower.right
 #align mv_polynomial.is_scalar_tower' MvPolynomial.isScalarTower'
+-/
 
 #print MvPolynomial.unique /-
 /-- If `R` is a subsingleton, then `mv_polynomial σ R` has a unique element -/
@@ -169,13 +171,17 @@ def monomial (s : σ →₀ ℕ) : R →ₗ[R] MvPolynomial σ R :=
 #align mv_polynomial.monomial MvPolynomial.monomial
 -/
 
+#print MvPolynomial.single_eq_monomial /-
 theorem single_eq_monomial (s : σ →₀ ℕ) (a : R) : single s a = monomial s a :=
   rfl
 #align mv_polynomial.single_eq_monomial MvPolynomial.single_eq_monomial
+-/
 
+#print MvPolynomial.mul_def /-
 theorem mul_def : p * q = p.Sum fun m a => q.Sum fun n b => monomial (m + n) (a * b) :=
   rfl
 #align mv_polynomial.mul_def MvPolynomial.mul_def
+-/
 
 #print MvPolynomial.C /-
 /-- `C a` is the constant polynomial with value `a` -/
@@ -186,9 +192,11 @@ def C : R →+* MvPolynomial σ R :=
 
 variable (R σ)
 
+#print MvPolynomial.algebraMap_eq /-
 theorem algebraMap_eq : algebraMap R (MvPolynomial σ R) = C :=
   rfl
 #align mv_polynomial.algebra_map_eq MvPolynomial.algebraMap_eq
+-/
 
 variable {R σ}
 
@@ -199,66 +207,90 @@ def X (n : σ) : MvPolynomial σ R :=
 #align mv_polynomial.X MvPolynomial.X
 -/
 
+#print MvPolynomial.monomial_left_injective /-
 theorem monomial_left_injective {r : R} (hr : r ≠ 0) :
     Function.Injective fun s : σ →₀ ℕ => monomial s r :=
   Finsupp.single_left_injective hr
 #align mv_polynomial.monomial_left_injective MvPolynomial.monomial_left_injective
+-/
 
+#print MvPolynomial.monomial_left_inj /-
 @[simp]
 theorem monomial_left_inj {s t : σ →₀ ℕ} {r : R} (hr : r ≠ 0) :
     monomial s r = monomial t r ↔ s = t :=
   Finsupp.single_left_inj hr
 #align mv_polynomial.monomial_left_inj MvPolynomial.monomial_left_inj
+-/
 
+#print MvPolynomial.C_apply /-
 theorem C_apply : (C a : MvPolynomial σ R) = monomial 0 a :=
   rfl
 #align mv_polynomial.C_apply MvPolynomial.C_apply
+-/
 
+#print MvPolynomial.C_0 /-
 @[simp]
 theorem C_0 : C 0 = (0 : MvPolynomial σ R) := by simp [C_apply, monomial]
 #align mv_polynomial.C_0 MvPolynomial.C_0
+-/
 
+#print MvPolynomial.C_1 /-
 @[simp]
 theorem C_1 : C 1 = (1 : MvPolynomial σ R) :=
   rfl
 #align mv_polynomial.C_1 MvPolynomial.C_1
+-/
 
+#print MvPolynomial.C_mul_monomial /-
 theorem C_mul_monomial : C a * monomial s a' = monomial s (a * a') := by
   simp [C_apply, monomial, single_mul_single]
 #align mv_polynomial.C_mul_monomial MvPolynomial.C_mul_monomial
+-/
 
+#print MvPolynomial.C_add /-
 @[simp]
 theorem C_add : (C (a + a') : MvPolynomial σ R) = C a + C a' :=
   single_add _ _ _
 #align mv_polynomial.C_add MvPolynomial.C_add
+-/
 
+#print MvPolynomial.C_mul /-
 @[simp]
 theorem C_mul : (C (a * a') : MvPolynomial σ R) = C a * C a' :=
   C_mul_monomial.symm
 #align mv_polynomial.C_mul MvPolynomial.C_mul
+-/
 
+#print MvPolynomial.C_pow /-
 @[simp]
 theorem C_pow (a : R) (n : ℕ) : (C (a ^ n) : MvPolynomial σ R) = C a ^ n := by
   induction n <;> simp [pow_succ, *]
 #align mv_polynomial.C_pow MvPolynomial.C_pow
+-/
 
+#print MvPolynomial.C_injective /-
 theorem C_injective (σ : Type _) (R : Type _) [CommSemiring R] :
     Function.Injective (C : R → MvPolynomial σ R) :=
   Finsupp.single_injective _
 #align mv_polynomial.C_injective MvPolynomial.C_injective
+-/
 
+#print MvPolynomial.C_surjective /-
 theorem C_surjective {R : Type _} [CommSemiring R] (σ : Type _) [IsEmpty σ] :
     Function.Surjective (C : R → MvPolynomial σ R) :=
   by
   refine' fun p => ⟨p.toFun 0, Finsupp.ext fun a => _⟩
   simpa [(Finsupp.ext isEmptyElim : a = 0), C_apply, monomial]
 #align mv_polynomial.C_surjective MvPolynomial.C_surjective
+-/
 
+#print MvPolynomial.C_inj /-
 @[simp]
 theorem C_inj {σ : Type _} (R : Type _) [CommSemiring R] (r s : R) :
     (C r : MvPolynomial σ R) = C s ↔ r = s :=
   (C_injective σ R).eq_iff
 #align mv_polynomial.C_inj MvPolynomial.C_inj
+-/
 
 #print MvPolynomial.infinite_of_infinite /-
 instance infinite_of_infinite (σ : Type _) (R : Type _) [CommSemiring R] [Infinite R] :
@@ -275,44 +307,62 @@ instance infinite_of_nonempty (σ : Type _) (R : Type _) [Nonempty σ] [CommSemi
 #align mv_polynomial.infinite_of_nonempty MvPolynomial.infinite_of_nonempty
 -/
 
+#print MvPolynomial.C_eq_coe_nat /-
 theorem C_eq_coe_nat (n : ℕ) : (C ↑n : MvPolynomial σ R) = n := by
   induction n <;> simp [Nat.succ_eq_add_one, *]
 #align mv_polynomial.C_eq_coe_nat MvPolynomial.C_eq_coe_nat
+-/
 
+#print MvPolynomial.C_mul' /-
 theorem C_mul' : MvPolynomial.C a * p = a • p :=
   (Algebra.smul_def a p).symm
 #align mv_polynomial.C_mul' MvPolynomial.C_mul'
+-/
 
+#print MvPolynomial.smul_eq_C_mul /-
 theorem smul_eq_C_mul (p : MvPolynomial σ R) (a : R) : a • p = C a * p :=
   C_mul'.symm
 #align mv_polynomial.smul_eq_C_mul MvPolynomial.smul_eq_C_mul
+-/
 
+#print MvPolynomial.C_eq_smul_one /-
 theorem C_eq_smul_one : (C a : MvPolynomial σ R) = a • 1 := by rw [← C_mul', mul_one]
 #align mv_polynomial.C_eq_smul_one MvPolynomial.C_eq_smul_one
+-/
 
+#print MvPolynomial.smul_monomial /-
 theorem smul_monomial {S₁ : Type _} [SMulZeroClass S₁ R] (r : S₁) :
     r • monomial s a = monomial s (r • a) :=
   Finsupp.smul_single _ _ _
 #align mv_polynomial.smul_monomial MvPolynomial.smul_monomial
+-/
 
+#print MvPolynomial.X_injective /-
 theorem X_injective [Nontrivial R] : Function.Injective (X : σ → MvPolynomial σ R) :=
   (monomial_left_injective one_ne_zero).comp (Finsupp.single_left_injective one_ne_zero)
 #align mv_polynomial.X_injective MvPolynomial.X_injective
+-/
 
+#print MvPolynomial.X_inj /-
 @[simp]
 theorem X_inj [Nontrivial R] (m n : σ) : X m = (X n : MvPolynomial σ R) ↔ m = n :=
   X_injective.eq_iff
 #align mv_polynomial.X_inj MvPolynomial.X_inj
+-/
 
+#print MvPolynomial.monomial_pow /-
 theorem monomial_pow : monomial s a ^ e = monomial (e • s) (a ^ e) :=
   AddMonoidAlgebra.single_pow e
 #align mv_polynomial.monomial_pow MvPolynomial.monomial_pow
+-/
 
+#print MvPolynomial.monomial_mul /-
 @[simp]
 theorem monomial_mul {s s' : σ →₀ ℕ} {a b : R} :
     monomial s a * monomial s' b = monomial (s + s') (a * b) :=
   AddMonoidAlgebra.single_mul_single
 #align mv_polynomial.monomial_mul MvPolynomial.monomial_mul
+-/
 
 variable (σ R)
 
@@ -325,81 +375,114 @@ def monomialOneHom : Multiplicative (σ →₀ ℕ) →* MvPolynomial σ R :=
 
 variable {σ R}
 
+#print MvPolynomial.monomialOneHom_apply /-
 @[simp]
 theorem monomialOneHom_apply : monomialOneHom R σ s = (monomial s 1 : MvPolynomial σ R) :=
   rfl
 #align mv_polynomial.monomial_one_hom_apply MvPolynomial.monomialOneHom_apply
+-/
 
+#print MvPolynomial.X_pow_eq_monomial /-
 theorem X_pow_eq_monomial : X n ^ e = monomial (single n e) (1 : R) := by simp [X, monomial_pow]
 #align mv_polynomial.X_pow_eq_monomial MvPolynomial.X_pow_eq_monomial
+-/
 
+#print MvPolynomial.monomial_add_single /-
 theorem monomial_add_single : monomial (s + single n e) a = monomial s a * X n ^ e := by
   rw [X_pow_eq_monomial, monomial_mul, mul_one]
 #align mv_polynomial.monomial_add_single MvPolynomial.monomial_add_single
+-/
 
+#print MvPolynomial.monomial_single_add /-
 theorem monomial_single_add : monomial (single n e + s) a = X n ^ e * monomial s a := by
   rw [X_pow_eq_monomial, monomial_mul, one_mul]
 #align mv_polynomial.monomial_single_add MvPolynomial.monomial_single_add
+-/
 
+#print MvPolynomial.C_mul_X_pow_eq_monomial /-
 theorem C_mul_X_pow_eq_monomial {s : σ} {a : R} {n : ℕ} : C a * X s ^ n = monomial (single s n) a :=
   by rw [← zero_add (single s n), monomial_add_single, C_apply]
 #align mv_polynomial.C_mul_X_pow_eq_monomial MvPolynomial.C_mul_X_pow_eq_monomial
+-/
 
+#print MvPolynomial.C_mul_X_eq_monomial /-
 theorem C_mul_X_eq_monomial {s : σ} {a : R} : C a * X s = monomial (single s 1) a := by
   rw [← C_mul_X_pow_eq_monomial, pow_one]
 #align mv_polynomial.C_mul_X_eq_monomial MvPolynomial.C_mul_X_eq_monomial
+-/
 
+#print MvPolynomial.monomial_zero /-
 @[simp]
 theorem monomial_zero {s : σ →₀ ℕ} : monomial s (0 : R) = 0 :=
   single_zero _
 #align mv_polynomial.monomial_zero MvPolynomial.monomial_zero
+-/
 
+#print MvPolynomial.monomial_zero' /-
 @[simp]
 theorem monomial_zero' : (monomial (0 : σ →₀ ℕ) : R → MvPolynomial σ R) = C :=
   rfl
 #align mv_polynomial.monomial_zero' MvPolynomial.monomial_zero'
+-/
 
+#print MvPolynomial.monomial_eq_zero /-
 @[simp]
 theorem monomial_eq_zero {s : σ →₀ ℕ} {b : R} : monomial s b = 0 ↔ b = 0 :=
   Finsupp.single_eq_zero
 #align mv_polynomial.monomial_eq_zero MvPolynomial.monomial_eq_zero
+-/
 
+#print MvPolynomial.sum_monomial_eq /-
 @[simp]
 theorem sum_monomial_eq {A : Type _} [AddCommMonoid A] {u : σ →₀ ℕ} {r : R} {b : (σ →₀ ℕ) → R → A}
     (w : b u 0 = 0) : Sum (monomial u r) b = b u r :=
   sum_single_index w
 #align mv_polynomial.sum_monomial_eq MvPolynomial.sum_monomial_eq
+-/
 
+#print MvPolynomial.sum_C /-
 @[simp]
 theorem sum_C {A : Type _} [AddCommMonoid A] {b : (σ →₀ ℕ) → R → A} (w : b 0 0 = 0) :
     Sum (C a) b = b 0 a :=
   sum_monomial_eq w
 #align mv_polynomial.sum_C MvPolynomial.sum_C
+-/
 
+#print MvPolynomial.monomial_sum_one /-
 theorem monomial_sum_one {α : Type _} (s : Finset α) (f : α → σ →₀ ℕ) :
     (monomial (∑ i in s, f i) 1 : MvPolynomial σ R) = ∏ i in s, monomial (f i) 1 :=
   (monomialOneHom R σ).map_prod (fun i => Multiplicative.ofAdd (f i)) s
 #align mv_polynomial.monomial_sum_one MvPolynomial.monomial_sum_one
+-/
 
+#print MvPolynomial.monomial_sum_index /-
 theorem monomial_sum_index {α : Type _} (s : Finset α) (f : α → σ →₀ ℕ) (a : R) :
     monomial (∑ i in s, f i) a = C a * ∏ i in s, monomial (f i) 1 := by
   rw [← monomial_sum_one, C_mul', ← (monomial _).map_smul, smul_eq_mul, mul_one]
 #align mv_polynomial.monomial_sum_index MvPolynomial.monomial_sum_index
+-/
 
+#print MvPolynomial.monomial_finsupp_sum_index /-
 theorem monomial_finsupp_sum_index {α β : Type _} [Zero β] (f : α →₀ β) (g : α → β → σ →₀ ℕ)
     (a : R) : monomial (f.Sum g) a = C a * f.Prod fun a b => monomial (g a b) 1 :=
   monomial_sum_index _ _ _
 #align mv_polynomial.monomial_finsupp_sum_index MvPolynomial.monomial_finsupp_sum_index
+-/
 
+#print MvPolynomial.monomial_eq_monomial_iff /-
 theorem monomial_eq_monomial_iff {α : Type _} (a₁ a₂ : α →₀ ℕ) (b₁ b₂ : R) :
     monomial a₁ b₁ = monomial a₂ b₂ ↔ a₁ = a₂ ∧ b₁ = b₂ ∨ b₁ = 0 ∧ b₂ = 0 :=
   Finsupp.single_eq_single_iff _ _ _ _
 #align mv_polynomial.monomial_eq_monomial_iff MvPolynomial.monomial_eq_monomial_iff
+-/
 
+#print MvPolynomial.monomial_eq /-
 theorem monomial_eq : monomial s a = C a * (s.Prod fun n e => X n ^ e : MvPolynomial σ R) := by
   simp only [X_pow_eq_monomial, ← monomial_finsupp_sum_index, Finsupp.sum_single]
 #align mv_polynomial.monomial_eq MvPolynomial.monomial_eq
+-/
 
+#print MvPolynomial.induction_on_monomial /-
 theorem induction_on_monomial {M : MvPolynomial σ R → Prop} (h_C : ∀ a, M (C a))
     (h_X : ∀ p n, M p → M (p * X n)) : ∀ s a, M (monomial s a) :=
   by
@@ -415,7 +498,9 @@ theorem induction_on_monomial {M : MvPolynomial σ R → Prop} (h_C : ∀ a, M (
       · simp [ih, pow_succ', (mul_assoc _ _ _).symm, h_X, e_ih]
     simp [add_comm, monomial_add_single, this]
 #align mv_polynomial.induction_on_monomial MvPolynomial.induction_on_monomial
+-/
 
+#print MvPolynomial.induction_on' /-
 /-- Analog of `polynomial.induction_on'`.
 To prove something about mv_polynomials,
 it suffices to show the condition is closed under taking sums,
@@ -429,7 +514,9 @@ theorem induction_on' {P : MvPolynomial σ R → Prop} (p : MvPolynomial σ R)
     show P (monomial 0 0) from h1 0 0)
     fun a b f ha hb hPf => h2 _ _ (h1 _ _) hPf
 #align mv_polynomial.induction_on' MvPolynomial.induction_on'
+-/
 
+#print MvPolynomial.induction_on''' /-
 /-- Similar to `mv_polynomial.induction_on` but only a weak form of `h_add` is required.-/
 theorem induction_on''' {M : MvPolynomial σ R → Prop} (p : MvPolynomial σ R) (h_C : ∀ a, M (C a))
     (h_add_weak :
@@ -438,7 +525,9 @@ theorem induction_on''' {M : MvPolynomial σ R → Prop} (p : MvPolynomial σ R)
     M p :=
   Finsupp.induction p (C_0.rec <| h_C 0) h_add_weak
 #align mv_polynomial.induction_on''' MvPolynomial.induction_on'''
+-/
 
+#print MvPolynomial.induction_on'' /-
 /-- Similar to `mv_polynomial.induction_on` but only a yet weaker form of `h_add` is required.-/
 theorem induction_on'' {M : MvPolynomial σ R → Prop} (p : MvPolynomial σ R) (h_C : ∀ a, M (C a))
     (h_add_weak :
@@ -448,36 +537,48 @@ theorem induction_on'' {M : MvPolynomial σ R → Prop} (p : MvPolynomial σ R)
   induction_on''' p h_C fun a b f ha hb hf =>
     h_add_weak a b f ha hb hf <| induction_on_monomial h_C h_X a b
 #align mv_polynomial.induction_on'' MvPolynomial.induction_on''
+-/
 
+#print MvPolynomial.induction_on /-
 /-- Analog of `polynomial.induction_on`.-/
 @[recursor 5]
 theorem induction_on {M : MvPolynomial σ R → Prop} (p : MvPolynomial σ R) (h_C : ∀ a, M (C a))
     (h_add : ∀ p q, M p → M q → M (p + q)) (h_X : ∀ p n, M p → M (p * X n)) : M p :=
   induction_on'' p h_C (fun a b f ha hb hf hm => h_add (monomial a b) f hm hf) h_X
 #align mv_polynomial.induction_on MvPolynomial.induction_on
+-/
 
+#print MvPolynomial.ringHom_ext /-
 theorem ringHom_ext {A : Type _} [Semiring A] {f g : MvPolynomial σ R →+* A}
     (hC : ∀ r, f (C r) = g (C r)) (hX : ∀ i, f (X i) = g (X i)) : f = g := by ext;
   exacts [hC _, hX _]
 #align mv_polynomial.ring_hom_ext MvPolynomial.ringHom_ext
+-/
 
+#print MvPolynomial.ringHom_ext' /-
 /-- See note [partially-applied ext lemmas]. -/
 @[ext]
 theorem ringHom_ext' {A : Type _} [Semiring A] {f g : MvPolynomial σ R →+* A}
     (hC : f.comp C = g.comp C) (hX : ∀ i, f (X i) = g (X i)) : f = g :=
   ringHom_ext (RingHom.ext_iff.1 hC) hX
 #align mv_polynomial.ring_hom_ext' MvPolynomial.ringHom_ext'
+-/
 
+#print MvPolynomial.hom_eq_hom /-
 theorem hom_eq_hom [Semiring S₂] (f g : MvPolynomial σ R →+* S₂) (hC : f.comp C = g.comp C)
     (hX : ∀ n : σ, f (X n) = g (X n)) (p : MvPolynomial σ R) : f p = g p :=
   RingHom.congr_fun (ringHom_ext' hC hX) p
 #align mv_polynomial.hom_eq_hom MvPolynomial.hom_eq_hom
+-/
 
+#print MvPolynomial.is_id /-
 theorem is_id (f : MvPolynomial σ R →+* MvPolynomial σ R) (hC : f.comp C = C)
     (hX : ∀ n : σ, f (X n) = X n) (p : MvPolynomial σ R) : f p = p :=
   hom_eq_hom f (RingHom.id _) hC hX p
 #align mv_polynomial.is_id MvPolynomial.is_id
+-/
 
+#print MvPolynomial.algHom_ext' /-
 @[ext]
 theorem algHom_ext' {A B : Type _} [CommSemiring A] [CommSemiring B] [Algebra R A] [Algebra R B]
     {f g : MvPolynomial σ A →ₐ[R] B}
@@ -487,18 +588,24 @@ theorem algHom_ext' {A B : Type _} [CommSemiring A] [CommSemiring B] [Algebra R
     (h₂ : ∀ i, f (X i) = g (X i)) : f = g :=
   AlgHom.coe_ringHom_injective (MvPolynomial.ringHom_ext' (congr_arg AlgHom.toRingHom h₁) h₂)
 #align mv_polynomial.alg_hom_ext' MvPolynomial.algHom_ext'
+-/
 
+#print MvPolynomial.algHom_ext /-
 @[ext]
 theorem algHom_ext {A : Type _} [Semiring A] [Algebra R A] {f g : MvPolynomial σ R →ₐ[R] A}
     (hf : ∀ i : σ, f (X i) = g (X i)) : f = g :=
   AddMonoidAlgebra.algHom_ext' (mulHom_ext' fun x : σ => MonoidHom.ext_mnat (hf x))
 #align mv_polynomial.alg_hom_ext MvPolynomial.algHom_ext
+-/
 
+#print MvPolynomial.algHom_C /-
 @[simp]
 theorem algHom_C (f : MvPolynomial σ R →ₐ[R] MvPolynomial σ R) (r : R) : f (C r) = C r :=
   f.commutes r
 #align mv_polynomial.alg_hom_C MvPolynomial.algHom_C
+-/
 
+#print MvPolynomial.adjoin_range_X /-
 @[simp]
 theorem adjoin_range_X : Algebra.adjoin R (range (X : σ → MvPolynomial σ R)) = ⊤ :=
   by
@@ -509,12 +616,15 @@ theorem adjoin_range_X : Algebra.adjoin R (range (X : σ → MvPolynomial σ R))
   case h_add p q hp hq => exact S.add_mem hp hq
   case h_X p i hp => exact S.mul_mem hp (Algebra.subset_adjoin <| mem_range_self _)
 #align mv_polynomial.adjoin_range_X MvPolynomial.adjoin_range_X
+-/
 
+#print MvPolynomial.linearMap_ext /-
 @[ext]
 theorem linearMap_ext {M : Type _} [AddCommMonoid M] [Module R M] {f g : MvPolynomial σ R →ₗ[R] M}
     (h : ∀ s, f ∘ₗ monomial s = g ∘ₗ monomial s) : f = g :=
   Finsupp.lhom_ext' h
 #align mv_polynomial.linear_map_ext MvPolynomial.linearMap_ext
+-/
 
 section Support
 
@@ -526,45 +636,63 @@ def support (p : MvPolynomial σ R) : Finset (σ →₀ ℕ) :=
 #align mv_polynomial.support MvPolynomial.support
 -/
 
+#print MvPolynomial.finsupp_support_eq_support /-
 theorem finsupp_support_eq_support (p : MvPolynomial σ R) : Finsupp.support p = p.support :=
   rfl
 #align mv_polynomial.finsupp_support_eq_support MvPolynomial.finsupp_support_eq_support
+-/
 
+#print MvPolynomial.support_monomial /-
 theorem support_monomial [Decidable (a = 0)] : (monomial s a).support = if a = 0 then ∅ else {s} :=
   by convert rfl
 #align mv_polynomial.support_monomial MvPolynomial.support_monomial
+-/
 
+#print MvPolynomial.support_monomial_subset /-
 theorem support_monomial_subset : (monomial s a).support ⊆ {s} :=
   support_single_subset
 #align mv_polynomial.support_monomial_subset MvPolynomial.support_monomial_subset
+-/
 
+#print MvPolynomial.support_add /-
 theorem support_add [DecidableEq σ] : (p + q).support ⊆ p.support ∪ q.support :=
   Finsupp.support_add
 #align mv_polynomial.support_add MvPolynomial.support_add
+-/
 
+#print MvPolynomial.support_X /-
 theorem support_X [Nontrivial R] : (X n : MvPolynomial σ R).support = {single n 1} := by
   classical rw [X, support_monomial, if_neg] <;> exact one_ne_zero
 #align mv_polynomial.support_X MvPolynomial.support_X
+-/
 
+#print MvPolynomial.support_X_pow /-
 theorem support_X_pow [Nontrivial R] (s : σ) (n : ℕ) :
     (X s ^ n : MvPolynomial σ R).support = {Finsupp.single s n} := by
   classical rw [X_pow_eq_monomial, support_monomial, if_neg (one_ne_zero' R)]
 #align mv_polynomial.support_X_pow MvPolynomial.support_X_pow
+-/
 
+#print MvPolynomial.support_zero /-
 @[simp]
 theorem support_zero : (0 : MvPolynomial σ R).support = ∅ :=
   rfl
 #align mv_polynomial.support_zero MvPolynomial.support_zero
+-/
 
+#print MvPolynomial.support_smul /-
 theorem support_smul {S₁ : Type _} [SMulZeroClass S₁ R] {a : S₁} {f : MvPolynomial σ R} :
     (a • f).support ⊆ f.support :=
   Finsupp.support_smul
 #align mv_polynomial.support_smul MvPolynomial.support_smul
+-/
 
+#print MvPolynomial.support_sum /-
 theorem support_sum {α : Type _} [DecidableEq σ] {s : Finset α} {f : α → MvPolynomial σ R} :
     (∑ x in s, f x).support ⊆ s.biUnion fun x => (f x).support :=
   Finsupp.support_finset_sum
 #align mv_polynomial.support_sum MvPolynomial.support_sum
+-/
 
 end Support
 
@@ -577,53 +705,73 @@ def coeff (m : σ →₀ ℕ) (p : MvPolynomial σ R) : R :=
 #align mv_polynomial.coeff MvPolynomial.coeff
 -/
 
+#print MvPolynomial.mem_support_iff /-
 @[simp]
 theorem mem_support_iff {p : MvPolynomial σ R} {m : σ →₀ ℕ} : m ∈ p.support ↔ p.coeff m ≠ 0 := by
   simp [support, coeff]
 #align mv_polynomial.mem_support_iff MvPolynomial.mem_support_iff
+-/
 
+#print MvPolynomial.not_mem_support_iff /-
 theorem not_mem_support_iff {p : MvPolynomial σ R} {m : σ →₀ ℕ} : m ∉ p.support ↔ p.coeff m = 0 :=
   by simp
 #align mv_polynomial.not_mem_support_iff MvPolynomial.not_mem_support_iff
+-/
 
+#print MvPolynomial.sum_def /-
 theorem sum_def {A} [AddCommMonoid A] {p : MvPolynomial σ R} {b : (σ →₀ ℕ) → R → A} :
     p.Sum b = ∑ m in p.support, b m (p.coeff m) := by simp [support, Finsupp.sum, coeff]
 #align mv_polynomial.sum_def MvPolynomial.sum_def
+-/
 
+#print MvPolynomial.support_mul /-
 theorem support_mul [DecidableEq σ] (p q : MvPolynomial σ R) :
     (p * q).support ⊆ p.support.biUnion fun a => q.support.biUnion fun b => {a + b} := by
   convert AddMonoidAlgebra.support_mul p q <;> ext <;> convert Iff.rfl
 #align mv_polynomial.support_mul MvPolynomial.support_mul
+-/
 
+#print MvPolynomial.ext /-
 @[ext]
 theorem ext (p q : MvPolynomial σ R) : (∀ m, coeff m p = coeff m q) → p = q :=
   ext
 #align mv_polynomial.ext MvPolynomial.ext
+-/
 
+#print MvPolynomial.ext_iff /-
 theorem ext_iff (p q : MvPolynomial σ R) : p = q ↔ ∀ m, coeff m p = coeff m q :=
   ⟨fun h m => by rw [h], ext p q⟩
 #align mv_polynomial.ext_iff MvPolynomial.ext_iff
+-/
 
+#print MvPolynomial.coeff_add /-
 @[simp]
 theorem coeff_add (m : σ →₀ ℕ) (p q : MvPolynomial σ R) : coeff m (p + q) = coeff m p + coeff m q :=
   add_apply p q m
 #align mv_polynomial.coeff_add MvPolynomial.coeff_add
+-/
 
+#print MvPolynomial.coeff_smul /-
 @[simp]
 theorem coeff_smul {S₁ : Type _} [SMulZeroClass S₁ R] (m : σ →₀ ℕ) (c : S₁) (p : MvPolynomial σ R) :
     coeff m (c • p) = c • coeff m p :=
   smul_apply c p m
 #align mv_polynomial.coeff_smul MvPolynomial.coeff_smul
+-/
 
+#print MvPolynomial.coeff_zero /-
 @[simp]
 theorem coeff_zero (m : σ →₀ ℕ) : coeff m (0 : MvPolynomial σ R) = 0 :=
   rfl
 #align mv_polynomial.coeff_zero MvPolynomial.coeff_zero
+-/
 
+#print MvPolynomial.coeff_zero_X /-
 @[simp]
 theorem coeff_zero_X (i : σ) : coeff 0 (X i : MvPolynomial σ R) = 0 :=
   single_eq_of_ne fun h => by cases single_eq_zero.1 h
 #align mv_polynomial.coeff_zero_X MvPolynomial.coeff_zero_X
+-/
 
 #print MvPolynomial.coeffAddMonoidHom /-
 /-- `mv_polynomial.coeff m` but promoted to an `add_monoid_hom`. -/
@@ -636,41 +784,56 @@ def coeffAddMonoidHom (m : σ →₀ ℕ) : MvPolynomial σ R →+ R
 #align mv_polynomial.coeff_add_monoid_hom MvPolynomial.coeffAddMonoidHom
 -/
 
+#print MvPolynomial.coeff_sum /-
 theorem coeff_sum {X : Type _} (s : Finset X) (f : X → MvPolynomial σ R) (m : σ →₀ ℕ) :
     coeff m (∑ x in s, f x) = ∑ x in s, coeff m (f x) :=
   (@coeffAddMonoidHom R σ _ _).map_sum _ s
 #align mv_polynomial.coeff_sum MvPolynomial.coeff_sum
+-/
 
+#print MvPolynomial.monic_monomial_eq /-
 theorem monic_monomial_eq (m) :
     monomial m (1 : R) = (m.Prod fun n e => X n ^ e : MvPolynomial σ R) := by simp [monomial_eq]
 #align mv_polynomial.monic_monomial_eq MvPolynomial.monic_monomial_eq
+-/
 
+#print MvPolynomial.coeff_monomial /-
 @[simp]
 theorem coeff_monomial [DecidableEq σ] (m n) (a) :
     coeff m (monomial n a : MvPolynomial σ R) = if n = m then a else 0 :=
   single_apply
 #align mv_polynomial.coeff_monomial MvPolynomial.coeff_monomial
+-/
 
+#print MvPolynomial.coeff_C /-
 @[simp]
 theorem coeff_C [DecidableEq σ] (m) (a) :
     coeff m (C a : MvPolynomial σ R) = if 0 = m then a else 0 :=
   single_apply
 #align mv_polynomial.coeff_C MvPolynomial.coeff_C
+-/
 
+#print MvPolynomial.coeff_one /-
 theorem coeff_one [DecidableEq σ] (m) : coeff m (1 : MvPolynomial σ R) = if 0 = m then 1 else 0 :=
   coeff_C m 1
 #align mv_polynomial.coeff_one MvPolynomial.coeff_one
+-/
 
+#print MvPolynomial.coeff_zero_C /-
 @[simp]
 theorem coeff_zero_C (a) : coeff 0 (C a : MvPolynomial σ R) = a :=
   single_eq_same
 #align mv_polynomial.coeff_zero_C MvPolynomial.coeff_zero_C
+-/
 
+#print MvPolynomial.coeff_zero_one /-
 @[simp]
 theorem coeff_zero_one : coeff 0 (1 : MvPolynomial σ R) = 1 :=
   coeff_zero_C 1
 #align mv_polynomial.coeff_zero_one MvPolynomial.coeff_zero_one
+-/
 
+#print MvPolynomial.coeff_X_pow /-
 theorem coeff_X_pow [DecidableEq σ] (i : σ) (m) (k : ℕ) :
     coeff m (X i ^ k : MvPolynomial σ R) = if single i k = m then 1 else 0 :=
   by
@@ -679,17 +842,23 @@ theorem coeff_X_pow [DecidableEq σ] (i : σ) (m) (k : ℕ) :
     this 
   exact pow_zero _
 #align mv_polynomial.coeff_X_pow MvPolynomial.coeff_X_pow
+-/
 
+#print MvPolynomial.coeff_X' /-
 theorem coeff_X' [DecidableEq σ] (i : σ) (m) :
     coeff m (X i : MvPolynomial σ R) = if single i 1 = m then 1 else 0 := by
   rw [← coeff_X_pow, pow_one]
 #align mv_polynomial.coeff_X' MvPolynomial.coeff_X'
+-/
 
+#print MvPolynomial.coeff_X /-
 @[simp]
 theorem coeff_X (i : σ) : coeff (single i 1) (X i : MvPolynomial σ R) = 1 := by
   classical rw [coeff_X', if_pos rfl]
 #align mv_polynomial.coeff_X MvPolynomial.coeff_X
+-/
 
+#print MvPolynomial.coeff_C_mul /-
 @[simp]
 theorem coeff_C_mul (m) (a : R) (p : MvPolynomial σ R) : coeff m (C a * p) = a * coeff m p := by
   classical
@@ -697,54 +866,72 @@ theorem coeff_C_mul (m) (a : R) (p : MvPolynomial σ R) : coeff m (C a * p) = a
   · simp (config := { contextual := true }) [sum_def, coeff_sum]
   simp
 #align mv_polynomial.coeff_C_mul MvPolynomial.coeff_C_mul
+-/
 
+#print MvPolynomial.coeff_mul /-
 theorem coeff_mul (p q : MvPolynomial σ R) (n : σ →₀ ℕ) :
     coeff n (p * q) = ∑ x in antidiagonal n, coeff x.1 p * coeff x.2 q :=
   AddMonoidAlgebra.mul_apply_antidiagonal p q _ _ fun p => mem_antidiagonal
 #align mv_polynomial.coeff_mul MvPolynomial.coeff_mul
+-/
 
+#print MvPolynomial.coeff_mul_monomial /-
 @[simp]
 theorem coeff_mul_monomial (m) (s : σ →₀ ℕ) (r : R) (p : MvPolynomial σ R) :
     coeff (m + s) (p * monomial s r) = coeff m p * r :=
   AddMonoidAlgebra.mul_single_apply_aux p _ _ _ _ fun a => add_left_inj _
 #align mv_polynomial.coeff_mul_monomial MvPolynomial.coeff_mul_monomial
+-/
 
+#print MvPolynomial.coeff_monomial_mul /-
 @[simp]
 theorem coeff_monomial_mul (m) (s : σ →₀ ℕ) (r : R) (p : MvPolynomial σ R) :
     coeff (s + m) (monomial s r * p) = r * coeff m p :=
   AddMonoidAlgebra.single_mul_apply_aux p _ _ _ _ fun a => add_right_inj _
 #align mv_polynomial.coeff_monomial_mul MvPolynomial.coeff_monomial_mul
+-/
 
+#print MvPolynomial.coeff_mul_X /-
 @[simp]
 theorem coeff_mul_X (m) (s : σ) (p : MvPolynomial σ R) :
     coeff (m + single s 1) (p * X s) = coeff m p :=
   (coeff_mul_monomial _ _ _ _).trans (mul_one _)
 #align mv_polynomial.coeff_mul_X MvPolynomial.coeff_mul_X
+-/
 
+#print MvPolynomial.coeff_X_mul /-
 @[simp]
 theorem coeff_X_mul (m) (s : σ) (p : MvPolynomial σ R) :
     coeff (single s 1 + m) (X s * p) = coeff m p :=
   (coeff_monomial_mul _ _ _ _).trans (one_mul _)
 #align mv_polynomial.coeff_X_mul MvPolynomial.coeff_X_mul
+-/
 
+#print MvPolynomial.support_mul_X /-
 @[simp]
 theorem support_mul_X (s : σ) (p : MvPolynomial σ R) :
     (p * X s).support = p.support.map (addRightEmbedding (single s 1)) :=
   AddMonoidAlgebra.support_mul_single p _ (by simp) _
 #align mv_polynomial.support_mul_X MvPolynomial.support_mul_X
+-/
 
+#print MvPolynomial.support_X_mul /-
 @[simp]
 theorem support_X_mul (s : σ) (p : MvPolynomial σ R) :
     (X s * p).support = p.support.map (addLeftEmbedding (single s 1)) :=
   AddMonoidAlgebra.support_single_mul p _ (by simp) _
 #align mv_polynomial.support_X_mul MvPolynomial.support_X_mul
+-/
 
+#print MvPolynomial.support_smul_eq /-
 @[simp]
 theorem support_smul_eq {S₁ : Type _} [Semiring S₁] [Module S₁ R] [NoZeroSMulDivisors S₁ R] {a : S₁}
     (h : a ≠ 0) (p : MvPolynomial σ R) : (a • p).support = p.support :=
   Finsupp.support_smul_eq h
 #align mv_polynomial.support_smul_eq MvPolynomial.support_smul_eq
+-/
 
+#print MvPolynomial.support_sdiff_support_subset_support_add /-
 theorem support_sdiff_support_subset_support_add [DecidableEq σ] (p q : MvPolynomial σ R) :
     p.support \ q.support ⊆ (p + q).support :=
   by
@@ -752,7 +939,9 @@ theorem support_sdiff_support_subset_support_add [DecidableEq σ] (p q : MvPolyn
   simp only [Classical.not_not, mem_support_iff, Finset.mem_sdiff, Ne.def] at hm 
   simp [hm.2, hm.1]
 #align mv_polynomial.support_sdiff_support_subset_support_add MvPolynomial.support_sdiff_support_subset_support_add
+-/
 
+#print MvPolynomial.support_symmDiff_support_subset_support_add /-
 theorem support_symmDiff_support_subset_support_add [DecidableEq σ] (p q : MvPolynomial σ R) :
     p.support ∆ q.support ⊆ (p + q).support :=
   by
@@ -762,7 +951,9 @@ theorem support_symmDiff_support_subset_support_add [DecidableEq σ] (p q : MvPo
   · rw [add_comm]
     exact support_sdiff_support_subset_support_add q p
 #align mv_polynomial.support_symm_diff_support_subset_support_add MvPolynomial.support_symmDiff_support_subset_support_add
+-/
 
+#print MvPolynomial.coeff_mul_monomial' /-
 theorem coeff_mul_monomial' (m) (s : σ →₀ ℕ) (r : R) (p : MvPolynomial σ R) :
     coeff m (p * monomial s r) = if s ≤ m then coeff (m - s) p * r else 0 := by
   classical
@@ -780,7 +971,9 @@ theorem coeff_mul_monomial' (m) (s : σ →₀ ℕ) (r : R) (p : MvPolynomial σ
     rw [Finset.mem_singleton] at H ; subst m
     exact le_add_left le_rfl
 #align mv_polynomial.coeff_mul_monomial' MvPolynomial.coeff_mul_monomial'
+-/
 
+#print MvPolynomial.coeff_monomial_mul' /-
 theorem coeff_monomial_mul' (m) (s : σ →₀ ℕ) (r : R) (p : MvPolynomial σ R) :
     coeff m (monomial s r * p) = if s ≤ m then r * coeff (m - s) p else 0 :=
   by
@@ -788,7 +981,9 @@ theorem coeff_monomial_mul' (m) (s : σ →₀ ℕ) (r : R) (p : MvPolynomial σ
   rw [mul_comm, mul_comm r]
   exact coeff_mul_monomial' _ _ _ _
 #align mv_polynomial.coeff_monomial_mul' MvPolynomial.coeff_monomial_mul'
+-/
 
+#print MvPolynomial.coeff_mul_X' /-
 theorem coeff_mul_X' [DecidableEq σ] (m) (s : σ) (p : MvPolynomial σ R) :
     coeff m (p * X s) = if s ∈ m.support then coeff (m - single s 1) p else 0 :=
   by
@@ -796,7 +991,9 @@ theorem coeff_mul_X' [DecidableEq σ] (m) (s : σ) (p : MvPolynomial σ R) :
   simp_rw [Finsupp.single_le_iff, Finsupp.mem_support_iff, Nat.succ_le_iff, pos_iff_ne_zero,
     mul_one]
 #align mv_polynomial.coeff_mul_X' MvPolynomial.coeff_mul_X'
+-/
 
+#print MvPolynomial.coeff_X_mul' /-
 theorem coeff_X_mul' [DecidableEq σ] (m) (s : σ) (p : MvPolynomial σ R) :
     coeff m (X s * p) = if s ∈ m.support then coeff (m - single s 1) p else 0 :=
   by
@@ -804,24 +1001,34 @@ theorem coeff_X_mul' [DecidableEq σ] (m) (s : σ) (p : MvPolynomial σ R) :
   simp_rw [Finsupp.single_le_iff, Finsupp.mem_support_iff, Nat.succ_le_iff, pos_iff_ne_zero,
     one_mul]
 #align mv_polynomial.coeff_X_mul' MvPolynomial.coeff_X_mul'
+-/
 
+#print MvPolynomial.eq_zero_iff /-
 theorem eq_zero_iff {p : MvPolynomial σ R} : p = 0 ↔ ∀ d, coeff d p = 0 := by rw [ext_iff];
   simp only [coeff_zero]
 #align mv_polynomial.eq_zero_iff MvPolynomial.eq_zero_iff
+-/
 
+#print MvPolynomial.ne_zero_iff /-
 theorem ne_zero_iff {p : MvPolynomial σ R} : p ≠ 0 ↔ ∃ d, coeff d p ≠ 0 := by
   rw [Ne.def, eq_zero_iff]; push_neg
 #align mv_polynomial.ne_zero_iff MvPolynomial.ne_zero_iff
+-/
 
+#print MvPolynomial.support_eq_empty /-
 @[simp]
 theorem support_eq_empty {p : MvPolynomial σ R} : p.support = ∅ ↔ p = 0 :=
   Finsupp.support_eq_empty
 #align mv_polynomial.support_eq_empty MvPolynomial.support_eq_empty
+-/
 
+#print MvPolynomial.exists_coeff_ne_zero /-
 theorem exists_coeff_ne_zero {p : MvPolynomial σ R} (h : p ≠ 0) : ∃ d, coeff d p ≠ 0 :=
   ne_zero_iff.mp h
 #align mv_polynomial.exists_coeff_ne_zero MvPolynomial.exists_coeff_ne_zero
+-/
 
+#print MvPolynomial.C_dvd_iff_dvd_coeff /-
 theorem C_dvd_iff_dvd_coeff (r : R) (φ : MvPolynomial σ R) : C r ∣ φ ↔ ∀ i, r ∣ φ.coeff i :=
   by
   constructor
@@ -839,6 +1046,7 @@ theorem C_dvd_iff_dvd_coeff (r : R) (φ : MvPolynomial σ R) : C r ∣ φ ↔ 
     · rw [hc]
     · rw [not_mem_support_iff] at hi ; rwa [MulZeroClass.mul_zero]
 #align mv_polynomial.C_dvd_iff_dvd_coeff MvPolynomial.C_dvd_iff_dvd_coeff
+-/
 
 end Coeff
 
@@ -858,65 +1066,83 @@ def constantCoeff : MvPolynomial σ R →+* R
 #align mv_polynomial.constant_coeff MvPolynomial.constantCoeff
 -/
 
+#print MvPolynomial.constantCoeff_eq /-
 theorem constantCoeff_eq : (constantCoeff : MvPolynomial σ R → R) = coeff 0 :=
   rfl
 #align mv_polynomial.constant_coeff_eq MvPolynomial.constantCoeff_eq
+-/
 
 variable (σ)
 
+#print MvPolynomial.constantCoeff_C /-
 @[simp]
 theorem constantCoeff_C (r : R) : constantCoeff (C r : MvPolynomial σ R) = r := by
   simp [constant_coeff_eq]
 #align mv_polynomial.constant_coeff_C MvPolynomial.constantCoeff_C
+-/
 
 variable {σ}
 
 variable (R)
 
+#print MvPolynomial.constantCoeff_X /-
 @[simp]
 theorem constantCoeff_X (i : σ) : constantCoeff (X i : MvPolynomial σ R) = 0 := by
   simp [constant_coeff_eq]
 #align mv_polynomial.constant_coeff_X MvPolynomial.constantCoeff_X
+-/
 
 variable {R}
 
+#print MvPolynomial.constantCoeff_smul /-
 @[simp]
 theorem constantCoeff_smul {R : Type _} [SMulZeroClass R S₁] (a : R) (f : MvPolynomial σ S₁) :
     constantCoeff (a • f) = a • constantCoeff f :=
   rfl
 #align mv_polynomial.constant_coeff_smul MvPolynomial.constantCoeff_smul
+-/
 
+#print MvPolynomial.constantCoeff_monomial /-
 theorem constantCoeff_monomial [DecidableEq σ] (d : σ →₀ ℕ) (r : R) :
     constantCoeff (monomial d r) = if d = 0 then r else 0 := by
   rw [constant_coeff_eq, coeff_monomial]
 #align mv_polynomial.constant_coeff_monomial MvPolynomial.constantCoeff_monomial
+-/
 
 variable (σ R)
 
+#print MvPolynomial.constantCoeff_comp_C /-
 @[simp]
 theorem constantCoeff_comp_C : constantCoeff.comp (C : R →+* MvPolynomial σ R) = RingHom.id R := by
   ext x; exact constant_coeff_C σ x
 #align mv_polynomial.constant_coeff_comp_C MvPolynomial.constantCoeff_comp_C
+-/
 
+#print MvPolynomial.constantCoeff_comp_algebraMap /-
 @[simp]
 theorem constantCoeff_comp_algebraMap :
     constantCoeff.comp (algebraMap R (MvPolynomial σ R)) = RingHom.id R :=
   constantCoeff_comp_C _ _
 #align mv_polynomial.constant_coeff_comp_algebra_map MvPolynomial.constantCoeff_comp_algebraMap
+-/
 
 end ConstantCoeff
 
 section AsSum
 
+#print MvPolynomial.support_sum_monomial_coeff /-
 @[simp]
 theorem support_sum_monomial_coeff (p : MvPolynomial σ R) :
     ∑ v in p.support, monomial v (coeff v p) = p :=
   Finsupp.sum_single p
 #align mv_polynomial.support_sum_monomial_coeff MvPolynomial.support_sum_monomial_coeff
+-/
 
+#print MvPolynomial.as_sum /-
 theorem as_sum (p : MvPolynomial σ R) : p = ∑ v in p.support, monomial v (coeff v p) :=
   (support_sum_monomial_coeff p).symm
 #align mv_polynomial.as_sum MvPolynomial.as_sum
+-/
 
 end AsSum
 
@@ -932,48 +1158,65 @@ def eval₂ (p : MvPolynomial σ R) : S₁ :=
 #align mv_polynomial.eval₂ MvPolynomial.eval₂
 -/
 
+#print MvPolynomial.eval₂_eq /-
 theorem eval₂_eq (g : R →+* S₁) (x : σ → S₁) (f : MvPolynomial σ R) :
     f.eval₂ g x = ∑ d in f.support, g (f.coeff d) * ∏ i in d.support, x i ^ d i :=
   rfl
 #align mv_polynomial.eval₂_eq MvPolynomial.eval₂_eq
+-/
 
+#print MvPolynomial.eval₂_eq' /-
 theorem eval₂_eq' [Fintype σ] (g : R →+* S₁) (x : σ → S₁) (f : MvPolynomial σ R) :
     f.eval₂ g x = ∑ d in f.support, g (f.coeff d) * ∏ i, x i ^ d i := by
   simp only [eval₂_eq, ← Finsupp.prod_pow]; rfl
 #align mv_polynomial.eval₂_eq' MvPolynomial.eval₂_eq'
+-/
 
+#print MvPolynomial.eval₂_zero /-
 @[simp]
 theorem eval₂_zero : (0 : MvPolynomial σ R).eval₂ f g = 0 :=
   Finsupp.sum_zero_index
 #align mv_polynomial.eval₂_zero MvPolynomial.eval₂_zero
+-/
 
 section
 
+#print MvPolynomial.eval₂_add /-
 @[simp]
 theorem eval₂_add : (p + q).eval₂ f g = p.eval₂ f g + q.eval₂ f g := by
   classical exact Finsupp.sum_add_index (by simp [f.map_zero]) (by simp [add_mul, f.map_add])
 #align mv_polynomial.eval₂_add MvPolynomial.eval₂_add
+-/
 
+#print MvPolynomial.eval₂_monomial /-
 @[simp]
 theorem eval₂_monomial : (monomial s a).eval₂ f g = f a * s.Prod fun n e => g n ^ e :=
   Finsupp.sum_single_index (by simp [f.map_zero])
 #align mv_polynomial.eval₂_monomial MvPolynomial.eval₂_monomial
+-/
 
+#print MvPolynomial.eval₂_C /-
 @[simp]
 theorem eval₂_C (a) : (C a).eval₂ f g = f a := by
   rw [C_apply, eval₂_monomial, prod_zero_index, mul_one]
 #align mv_polynomial.eval₂_C MvPolynomial.eval₂_C
+-/
 
+#print MvPolynomial.eval₂_one /-
 @[simp]
 theorem eval₂_one : (1 : MvPolynomial σ R).eval₂ f g = 1 :=
   (eval₂_C _ _ _).trans f.map_one
 #align mv_polynomial.eval₂_one MvPolynomial.eval₂_one
+-/
 
+#print MvPolynomial.eval₂_X /-
 @[simp]
 theorem eval₂_X (n) : (X n).eval₂ f g = g n := by
   simp [eval₂_monomial, f.map_one, X, prod_single_index, pow_one]
 #align mv_polynomial.eval₂_X MvPolynomial.eval₂_X
+-/
 
+#print MvPolynomial.eval₂_mul_monomial /-
 theorem eval₂_mul_monomial :
     ∀ {s a}, (p * monomial s a).eval₂ f g = p.eval₂ f g * f a * s.Prod fun n e => g n ^ e := by
   classical
@@ -990,11 +1233,15 @@ theorem eval₂_mul_monomial :
           simp [ih, prod_single_index, prod_add_index, pow_one, pow_add, mul_assoc, mul_left_comm,
             f.map_one, -add_comm]
 #align mv_polynomial.eval₂_mul_monomial MvPolynomial.eval₂_mul_monomial
+-/
 
+#print MvPolynomial.eval₂_mul_C /-
 theorem eval₂_mul_C : (p * C a).eval₂ f g = p.eval₂ f g * f a :=
   (eval₂_mul_monomial _ _).trans <| by simp
 #align mv_polynomial.eval₂_mul_C MvPolynomial.eval₂_mul_C
+-/
 
+#print MvPolynomial.eval₂_mul /-
 @[simp]
 theorem eval₂_mul : ∀ {p}, (p * q).eval₂ f g = p.eval₂ f g * q.eval₂ f g :=
   by
@@ -1003,12 +1250,15 @@ theorem eval₂_mul : ∀ {p}, (p * q).eval₂ f g = p.eval₂ f g * q.eval₂ f
   · simp (config := { contextual := true }) [mul_add, eval₂_add]
   · simp (config := { contextual := true }) [X, eval₂_monomial, eval₂_mul_monomial, ← mul_assoc]
 #align mv_polynomial.eval₂_mul MvPolynomial.eval₂_mul
+-/
 
+#print MvPolynomial.eval₂_pow /-
 @[simp]
 theorem eval₂_pow {p : MvPolynomial σ R} : ∀ {n : ℕ}, (p ^ n).eval₂ f g = p.eval₂ f g ^ n
   | 0 => by rw [pow_zero, pow_zero]; exact eval₂_one _ _
   | n + 1 => by rw [pow_add, pow_one, pow_add, pow_one, eval₂_mul, eval₂_pow]
 #align mv_polynomial.eval₂_pow MvPolynomial.eval₂_pow
+-/
 
 #print MvPolynomial.eval₂Hom /-
 /-- `mv_polynomial.eval₂` as a `ring_hom`. -/
@@ -1022,28 +1272,37 @@ def eval₂Hom (f : R →+* S₁) (g : σ → S₁) : MvPolynomial σ R →+* S
 #align mv_polynomial.eval₂_hom MvPolynomial.eval₂Hom
 -/
 
+#print MvPolynomial.coe_eval₂Hom /-
 @[simp]
 theorem coe_eval₂Hom (f : R →+* S₁) (g : σ → S₁) : ⇑(eval₂Hom f g) = eval₂ f g :=
   rfl
 #align mv_polynomial.coe_eval₂_hom MvPolynomial.coe_eval₂Hom
+-/
 
+#print MvPolynomial.eval₂Hom_congr /-
 theorem eval₂Hom_congr {f₁ f₂ : R →+* S₁} {g₁ g₂ : σ → S₁} {p₁ p₂ : MvPolynomial σ R} :
     f₁ = f₂ → g₁ = g₂ → p₁ = p₂ → eval₂Hom f₁ g₁ p₁ = eval₂Hom f₂ g₂ p₂ := by
   rintro rfl rfl rfl <;> rfl
 #align mv_polynomial.eval₂_hom_congr MvPolynomial.eval₂Hom_congr
+-/
 
 end
 
+#print MvPolynomial.eval₂Hom_C /-
 @[simp]
 theorem eval₂Hom_C (f : R →+* S₁) (g : σ → S₁) (r : R) : eval₂Hom f g (C r) = f r :=
   eval₂_C f g r
 #align mv_polynomial.eval₂_hom_C MvPolynomial.eval₂Hom_C
+-/
 
+#print MvPolynomial.eval₂Hom_X' /-
 @[simp]
 theorem eval₂Hom_X' (f : R →+* S₁) (g : σ → S₁) (i : σ) : eval₂Hom f g (X i) = g i :=
   eval₂_X f g i
 #align mv_polynomial.eval₂_hom_X' MvPolynomial.eval₂Hom_X'
+-/
 
+#print MvPolynomial.comp_eval₂Hom /-
 @[simp]
 theorem comp_eval₂Hom [CommSemiring S₂] (f : R →+* S₁) (g : σ → S₁) (φ : S₁ →+* S₂) :
     φ.comp (eval₂Hom f g) = eval₂Hom (φ.comp f) fun i => φ (g i) :=
@@ -1052,34 +1311,44 @@ theorem comp_eval₂Hom [CommSemiring S₂] (f : R →+* S₁) (g : σ → S₁)
   · intro r; rw [RingHom.comp_apply, eval₂_hom_C, eval₂_hom_C, RingHom.comp_apply]
   · intro i; rw [RingHom.comp_apply, eval₂_hom_X', eval₂_hom_X']
 #align mv_polynomial.comp_eval₂_hom MvPolynomial.comp_eval₂Hom
+-/
 
+#print MvPolynomial.map_eval₂Hom /-
 theorem map_eval₂Hom [CommSemiring S₂] (f : R →+* S₁) (g : σ → S₁) (φ : S₁ →+* S₂)
     (p : MvPolynomial σ R) : φ (eval₂Hom f g p) = eval₂Hom (φ.comp f) (fun i => φ (g i)) p := by
   rw [← comp_eval₂_hom]; rfl
 #align mv_polynomial.map_eval₂_hom MvPolynomial.map_eval₂Hom
+-/
 
+#print MvPolynomial.eval₂Hom_monomial /-
 theorem eval₂Hom_monomial (f : R →+* S₁) (g : σ → S₁) (d : σ →₀ ℕ) (r : R) :
     eval₂Hom f g (monomial d r) = f r * d.Prod fun i k => g i ^ k := by
   simp only [monomial_eq, RingHom.map_mul, eval₂_hom_C, Finsupp.prod, RingHom.map_prod,
     RingHom.map_pow, eval₂_hom_X']
 #align mv_polynomial.eval₂_hom_monomial MvPolynomial.eval₂Hom_monomial
+-/
 
 section
 
+#print MvPolynomial.eval₂_comp_left /-
 theorem eval₂_comp_left {S₂} [CommSemiring S₂] (k : S₁ →+* S₂) (f : R →+* S₁) (g : σ → S₁) (p) :
     k (eval₂ f g p) = eval₂ (k.comp f) (k ∘ g) p := by
   apply MvPolynomial.induction_on p <;>
     simp (config := { contextual := true }) [eval₂_add, k.map_add, eval₂_mul, k.map_mul]
 #align mv_polynomial.eval₂_comp_left MvPolynomial.eval₂_comp_left
+-/
 
 end
 
+#print MvPolynomial.eval₂_eta /-
 @[simp]
 theorem eval₂_eta (p : MvPolynomial σ R) : eval₂ C X p = p := by
   apply MvPolynomial.induction_on p <;>
     simp (config := { contextual := true }) [eval₂_add, eval₂_mul]
 #align mv_polynomial.eval₂_eta MvPolynomial.eval₂_eta
+-/
 
+#print MvPolynomial.eval₂_congr /-
 theorem eval₂_congr (g₁ g₂ : σ → S₁)
     (h : ∀ {i : σ} {c : σ →₀ ℕ}, i ∈ c.support → coeff c p ≠ 0 → g₁ i = g₂ i) :
     p.eval₂ f g₁ = p.eval₂ f g₂ := by
@@ -1090,27 +1359,34 @@ theorem eval₂_congr (g₁ g₂ : σ → S₁)
   apply h hi
   rwa [Finsupp.mem_support_iff] at hc 
 #align mv_polynomial.eval₂_congr MvPolynomial.eval₂_congr
+-/
 
+#print MvPolynomial.eval₂_prod /-
 @[simp]
 theorem eval₂_prod (s : Finset S₂) (p : S₂ → MvPolynomial σ R) :
     eval₂ f g (∏ x in s, p x) = ∏ x in s, eval₂ f g (p x) :=
   (eval₂Hom f g).map_prod _ s
 #align mv_polynomial.eval₂_prod MvPolynomial.eval₂_prod
+-/
 
+#print MvPolynomial.eval₂_sum /-
 @[simp]
 theorem eval₂_sum (s : Finset S₂) (p : S₂ → MvPolynomial σ R) :
     eval₂ f g (∑ x in s, p x) = ∑ x in s, eval₂ f g (p x) :=
   (eval₂Hom f g).map_sum _ s
 #align mv_polynomial.eval₂_sum MvPolynomial.eval₂_sum
+-/
 
 attribute [to_additive] eval₂_prod
 
+#print MvPolynomial.eval₂_assoc /-
 theorem eval₂_assoc (q : S₂ → MvPolynomial σ R) (p : MvPolynomial S₂ R) :
     eval₂ f (fun t => eval₂ f g (q t)) p = eval₂ f g (eval₂ C q p) :=
   by
   show _ = eval₂_hom f g (eval₂ C q p)
   rw [eval₂_comp_left (eval₂_hom f g)]; congr with a; simp
 #align mv_polynomial.eval₂_assoc MvPolynomial.eval₂_assoc
+-/
 
 end Eval₂
 
@@ -1125,47 +1401,64 @@ def eval (f : σ → R) : MvPolynomial σ R →+* R :=
 #align mv_polynomial.eval MvPolynomial.eval
 -/
 
+#print MvPolynomial.eval_eq /-
 theorem eval_eq (x : σ → R) (f : MvPolynomial σ R) :
     eval x f = ∑ d in f.support, f.coeff d * ∏ i in d.support, x i ^ d i :=
   rfl
 #align mv_polynomial.eval_eq MvPolynomial.eval_eq
+-/
 
+#print MvPolynomial.eval_eq' /-
 theorem eval_eq' [Fintype σ] (x : σ → R) (f : MvPolynomial σ R) :
     eval x f = ∑ d in f.support, f.coeff d * ∏ i, x i ^ d i :=
   eval₂_eq' (RingHom.id R) x f
 #align mv_polynomial.eval_eq' MvPolynomial.eval_eq'
+-/
 
+#print MvPolynomial.eval_monomial /-
 theorem eval_monomial : eval f (monomial s a) = a * s.Prod fun n e => f n ^ e :=
   eval₂_monomial _ _
 #align mv_polynomial.eval_monomial MvPolynomial.eval_monomial
+-/
 
+#print MvPolynomial.eval_C /-
 @[simp]
 theorem eval_C : ∀ a, eval f (C a) = a :=
   eval₂_C _ _
 #align mv_polynomial.eval_C MvPolynomial.eval_C
+-/
 
+#print MvPolynomial.eval_X /-
 @[simp]
 theorem eval_X : ∀ n, eval f (X n) = f n :=
   eval₂_X _ _
 #align mv_polynomial.eval_X MvPolynomial.eval_X
+-/
 
+#print MvPolynomial.smul_eval /-
 @[simp]
 theorem smul_eval (x) (p : MvPolynomial σ R) (s) : eval x (s • p) = s * eval x p := by
   rw [smul_eq_C_mul, (eval x).map_mul, eval_C]
 #align mv_polynomial.smul_eval MvPolynomial.smul_eval
+-/
 
+#print MvPolynomial.eval_sum /-
 theorem eval_sum {ι : Type _} (s : Finset ι) (f : ι → MvPolynomial σ R) (g : σ → R) :
     eval g (∑ i in s, f i) = ∑ i in s, eval g (f i) :=
   (eval g).map_sum _ _
 #align mv_polynomial.eval_sum MvPolynomial.eval_sum
+-/
 
+#print MvPolynomial.eval_prod /-
 @[to_additive]
 theorem eval_prod {ι : Type _} (s : Finset ι) (f : ι → MvPolynomial σ R) (g : σ → R) :
     eval g (∏ i in s, f i) = ∏ i in s, eval g (f i) :=
   (eval g).map_prod _ _
 #align mv_polynomial.eval_prod MvPolynomial.eval_prod
 #align mv_polynomial.eval_sum MvPolynomial.eval_sum
+-/
 
+#print MvPolynomial.eval_assoc /-
 theorem eval_assoc {τ} (f : σ → MvPolynomial τ R) (g : τ → R) (p : MvPolynomial σ R) :
     eval (eval g ∘ f) p = eval g (eval₂ C f p) :=
   by
@@ -1173,12 +1466,16 @@ theorem eval_assoc {τ} (f : σ → MvPolynomial τ R) (g : τ → R) (p : MvPol
   unfold eval; simp only [coe_eval₂_hom]
   congr with a; simp
 #align mv_polynomial.eval_assoc MvPolynomial.eval_assoc
+-/
 
+#print MvPolynomial.eval₂_id /-
 @[simp]
 theorem eval₂_id (p : MvPolynomial σ R) (g : σ → R) : eval₂ (RingHom.id _) g p = eval g p :=
   rfl
 #align mv_polynomial.eval₂_id MvPolynomial.eval₂_id
+-/
 
+#print MvPolynomial.eval_eval₂ /-
 theorem eval_eval₂ {τ : Type _} (f : R →+* MvPolynomial τ S₁) (g : σ → MvPolynomial τ S₁)
     (p : MvPolynomial σ R) (x : τ → S₁) :
     eval x (eval₂ f g p) = eval₂ ((eval x).comp f) (fun s => eval x (g s)) p :=
@@ -1190,6 +1487,7 @@ theorem eval_eval₂ {τ : Type _} (f : R →+* MvPolynomial τ S₁) (g : σ 
   · intro p n hp
     simp [hp]
 #align mv_polynomial.eval_eval₂ MvPolynomial.eval_eval₂
+-/
 
 end Eval
 
@@ -1204,25 +1502,34 @@ def map : MvPolynomial σ R →+* MvPolynomial σ S₁ :=
 #align mv_polynomial.map MvPolynomial.map
 -/
 
+#print MvPolynomial.map_monomial /-
 @[simp]
 theorem map_monomial (s : σ →₀ ℕ) (a : R) : map f (monomial s a) = monomial s (f a) :=
   (eval₂_monomial _ _).trans monomial_eq.symm
 #align mv_polynomial.map_monomial MvPolynomial.map_monomial
+-/
 
+#print MvPolynomial.map_C /-
 @[simp]
 theorem map_C : ∀ a : R, map f (C a : MvPolynomial σ R) = C (f a) :=
   map_monomial _ _
 #align mv_polynomial.map_C MvPolynomial.map_C
+-/
 
+#print MvPolynomial.map_X /-
 @[simp]
 theorem map_X : ∀ n : σ, map f (X n : MvPolynomial σ R) = X n :=
   eval₂_X _ _
 #align mv_polynomial.map_X MvPolynomial.map_X
+-/
 
+#print MvPolynomial.map_id /-
 theorem map_id : ∀ p : MvPolynomial σ R, map (RingHom.id R) p = p :=
   eval₂_eta
 #align mv_polynomial.map_id MvPolynomial.map_id
+-/
 
+#print MvPolynomial.map_map /-
 theorem map_map [CommSemiring S₂] (g : S₁ →+* S₂) (p : MvPolynomial σ R) :
     map g (map f p) = map (g.comp f) p :=
   (eval₂_comp_left (map g) (C.comp f) X p).trans <|
@@ -1231,7 +1538,9 @@ theorem map_map [CommSemiring S₂] (g : S₁ →+* S₂) (p : MvPolynomial σ R
     · ext1 a; simp only [map_C, comp_app, RingHom.coe_comp]
     · ext1 n; simp only [map_X, comp_app]
 #align mv_polynomial.map_map MvPolynomial.map_map
+-/
 
+#print MvPolynomial.eval₂_eq_eval_map /-
 theorem eval₂_eq_eval_map (g : σ → S₁) (p : MvPolynomial σ R) : p.eval₂ f g = eval g (map f p) :=
   by
   unfold map eval; simp only [coe_eval₂_hom]
@@ -1242,7 +1551,9 @@ theorem eval₂_eq_eval_map (g : σ → S₁) (p : MvPolynomial σ R) : p.eval
   · ext1 a; simp only [coe_eval₂_hom, RingHom.id_apply, comp_app, eval₂_C, RingHom.coe_comp]
   · ext1 n; simp only [comp_app, eval₂_X]
 #align mv_polynomial.eval₂_eq_eval_map MvPolynomial.eval₂_eq_eval_map
+-/
 
+#print MvPolynomial.eval₂_comp_right /-
 theorem eval₂_comp_right {S₂} [CommSemiring S₂] (k : S₁ →+* S₂) (f : R →+* S₁) (g : σ → S₁) (p) :
     k (eval₂ f g p) = eval₂ k (k ∘ g) (map f p) :=
   by
@@ -1252,7 +1563,9 @@ theorem eval₂_comp_right {S₂} [CommSemiring S₂] (k : S₁ →+* S₂) (f :
   · intro p s hp
     rw [eval₂_mul, k.map_mul, (map f).map_mul, eval₂_mul, map_X, hp, eval₂_X, eval₂_X]
 #align mv_polynomial.eval₂_comp_right MvPolynomial.eval₂_comp_right
+-/
 
+#print MvPolynomial.map_eval₂ /-
 theorem map_eval₂ (f : R →+* S₁) (g : S₂ → MvPolynomial S₃ R) (p : MvPolynomial S₂ R) :
     map f (eval₂ C g p) = eval₂ C (map f ∘ g) (map f p) :=
   by
@@ -1262,7 +1575,9 @@ theorem map_eval₂ (f : R →+* S₁) (g : S₂ → MvPolynomial S₃ R) (p : M
   · intro p s hp
     rw [eval₂_mul, (map f).map_mul, hp, (map f).map_mul, map_X, eval₂_mul, eval₂_X, eval₂_X]
 #align mv_polynomial.map_eval₂ MvPolynomial.map_eval₂
+-/
 
+#print MvPolynomial.coeff_map /-
 theorem coeff_map (p : MvPolynomial σ R) : ∀ m : σ →₀ ℕ, coeff m (map f p) = f (coeff m p) := by
   classical
   apply MvPolynomial.induction_on p <;> clear p
@@ -1273,7 +1588,9 @@ theorem coeff_map (p : MvPolynomial σ R) : ∀ m : σ →₀ ℕ, coeff m (map
     split_ifs; · rfl
     rw [f.map_zero]
 #align mv_polynomial.coeff_map MvPolynomial.coeff_map
+-/
 
+#print MvPolynomial.map_injective /-
 theorem map_injective (hf : Function.Injective f) :
     Function.Injective (map f : MvPolynomial σ R → MvPolynomial σ S₁) :=
   by
@@ -1282,7 +1599,9 @@ theorem map_injective (hf : Function.Injective f) :
   intro m
   exact hf (h m)
 #align mv_polynomial.map_injective MvPolynomial.map_injective
+-/
 
+#print MvPolynomial.map_surjective /-
 theorem map_surjective (hf : Function.Surjective f) :
     Function.Surjective (map f : MvPolynomial σ R → MvPolynomial σ S₁) := fun p =>
   by
@@ -1293,48 +1612,64 @@ theorem map_surjective (hf : Function.Surjective f) :
     obtain ⟨b, rfl⟩ := hb
     exact ⟨a + b, RingHom.map_add _ _ _⟩
 #align mv_polynomial.map_surjective MvPolynomial.map_surjective
+-/
 
+#print MvPolynomial.map_leftInverse /-
 /-- If `f` is a left-inverse of `g` then `map f` is a left-inverse of `map g`. -/
 theorem map_leftInverse {f : R →+* S₁} {g : S₁ →+* R} (hf : Function.LeftInverse f g) :
     Function.LeftInverse (map f : MvPolynomial σ R → MvPolynomial σ S₁) (map g) := fun x => by
   rw [map_map, (RingHom.ext hf : f.comp g = RingHom.id _), map_id]
 #align mv_polynomial.map_left_inverse MvPolynomial.map_leftInverse
+-/
 
+#print MvPolynomial.map_rightInverse /-
 /-- If `f` is a right-inverse of `g` then `map f` is a right-inverse of `map g`. -/
 theorem map_rightInverse {f : R →+* S₁} {g : S₁ →+* R} (hf : Function.RightInverse f g) :
     Function.RightInverse (map f : MvPolynomial σ R → MvPolynomial σ S₁) (map g) :=
   (map_leftInverse hf.LeftInverse).RightInverse
 #align mv_polynomial.map_right_inverse MvPolynomial.map_rightInverse
+-/
 
+#print MvPolynomial.eval_map /-
 @[simp]
 theorem eval_map (f : R →+* S₁) (g : σ → S₁) (p : MvPolynomial σ R) :
     eval g (map f p) = eval₂ f g p := by
   apply MvPolynomial.induction_on p <;> · simp (config := { contextual := true })
 #align mv_polynomial.eval_map MvPolynomial.eval_map
+-/
 
+#print MvPolynomial.eval₂_map /-
 @[simp]
 theorem eval₂_map [CommSemiring S₂] (f : R →+* S₁) (g : σ → S₂) (φ : S₁ →+* S₂)
     (p : MvPolynomial σ R) : eval₂ φ g (map f p) = eval₂ (φ.comp f) g p := by
   rw [← eval_map, ← eval_map, map_map]
 #align mv_polynomial.eval₂_map MvPolynomial.eval₂_map
+-/
 
+#print MvPolynomial.eval₂Hom_map_hom /-
 @[simp]
 theorem eval₂Hom_map_hom [CommSemiring S₂] (f : R →+* S₁) (g : σ → S₂) (φ : S₁ →+* S₂)
     (p : MvPolynomial σ R) : eval₂Hom φ g (map f p) = eval₂Hom (φ.comp f) g p :=
   eval₂_map f g φ p
 #align mv_polynomial.eval₂_hom_map_hom MvPolynomial.eval₂Hom_map_hom
+-/
 
+#print MvPolynomial.constantCoeff_map /-
 @[simp]
 theorem constantCoeff_map (f : R →+* S₁) (φ : MvPolynomial σ R) :
     constantCoeff (MvPolynomial.map f φ) = f (constantCoeff φ) :=
   coeff_map f φ 0
 #align mv_polynomial.constant_coeff_map MvPolynomial.constantCoeff_map
+-/
 
+#print MvPolynomial.constantCoeff_comp_map /-
 theorem constantCoeff_comp_map (f : R →+* S₁) :
     (constantCoeff : MvPolynomial σ S₁ →+* S₁).comp (MvPolynomial.map f) = f.comp constantCoeff :=
   by ext <;> simp
 #align mv_polynomial.constant_coeff_comp_map MvPolynomial.constantCoeff_comp_map
+-/
 
+#print MvPolynomial.support_map_subset /-
 theorem support_map_subset (p : MvPolynomial σ R) : (map f p).support ⊆ p.support :=
   by
   intro x
@@ -1346,7 +1681,9 @@ theorem support_map_subset (p : MvPolynomial σ R) : (map f p).support ⊆ p.sup
   rw [hx]
   exact RingHom.map_zero f
 #align mv_polynomial.support_map_subset MvPolynomial.support_map_subset
+-/
 
+#print MvPolynomial.support_map_of_injective /-
 theorem support_map_of_injective (p : MvPolynomial σ R) {f : R →+* S₁} (hf : Injective f) :
     (map f p).support = p.support :=
   by
@@ -1360,14 +1697,18 @@ theorem support_map_of_injective (p : MvPolynomial σ R) {f : R →+* S₁} (hf
   rw [coeff_map, ← f.map_zero] at hx 
   exact hf hx
 #align mv_polynomial.support_map_of_injective MvPolynomial.support_map_of_injective
+-/
 
+#print MvPolynomial.C_dvd_iff_map_hom_eq_zero /-
 theorem C_dvd_iff_map_hom_eq_zero (q : R →+* S₁) (r : R) (hr : ∀ r' : R, q r' = 0 ↔ r ∣ r')
     (φ : MvPolynomial σ R) : C r ∣ φ ↔ map q φ = 0 :=
   by
   rw [C_dvd_iff_dvd_coeff, MvPolynomial.ext_iff]
   simp only [coeff_map, coeff_zero, hr]
 #align mv_polynomial.C_dvd_iff_map_hom_eq_zero MvPolynomial.C_dvd_iff_map_hom_eq_zero
+-/
 
+#print MvPolynomial.map_mapRange_eq_iff /-
 theorem map_mapRange_eq_iff (f : R →+* S₁) (g : S₁ → R) (hg : g 0 = 0) (φ : MvPolynomial σ S₁) :
     map f (Finsupp.mapRange g hg φ) = φ ↔ ∀ d, f (g (coeff d φ)) = coeff d φ :=
   by
@@ -1377,6 +1718,7 @@ theorem map_mapRange_eq_iff (f : R →+* S₁) (g : S₁ → R) (hg : g 0 = 0) (
   apply eq_iff_eq_cancel_right.mpr
   rfl
 #align mv_polynomial.map_map_range_eq_iff MvPolynomial.map_mapRange_eq_iff
+-/
 
 #print MvPolynomial.mapAlgHom /-
 /-- If `f : S₁ →ₐ[R] S₂` is a morphism of `R`-algebras, then so is `mv_polynomial.map f`. -/
@@ -1393,18 +1735,22 @@ def mapAlgHom [CommSemiring S₂] [Algebra R S₁] [Algebra R S₂] (f : S₁ 
 #align mv_polynomial.map_alg_hom MvPolynomial.mapAlgHom
 -/
 
+#print MvPolynomial.mapAlgHom_id /-
 @[simp]
 theorem mapAlgHom_id [Algebra R S₁] :
     mapAlgHom (AlgHom.id R S₁) = AlgHom.id R (MvPolynomial σ S₁) :=
   AlgHom.ext map_id
 #align mv_polynomial.map_alg_hom_id MvPolynomial.mapAlgHom_id
+-/
 
+#print MvPolynomial.mapAlgHom_coe_ringHom /-
 @[simp]
 theorem mapAlgHom_coe_ringHom [CommSemiring S₂] [Algebra R S₁] [Algebra R S₂] (f : S₁ →ₐ[R] S₂) :
     ↑(mapAlgHom f : _ →ₐ[R] MvPolynomial σ S₂) =
       (map ↑f : MvPolynomial σ S₁ →+* MvPolynomial σ S₂) :=
   RingHom.mk_coe _ _ _ _ _
 #align mv_polynomial.map_alg_hom_coe_ring_hom MvPolynomial.mapAlgHom_coe_ringHom
+-/
 
 end Map
 
@@ -1417,9 +1763,11 @@ variable [Algebra R S₁] [CommSemiring S₂]
 
 variable (f : σ → S₁)
 
+#print MvPolynomial.algebraMap_apply /-
 theorem algebraMap_apply (r : R) : algebraMap R (MvPolynomial σ S₁) r = C (algebraMap R S₁ r) :=
   rfl
 #align mv_polynomial.algebra_map_apply MvPolynomial.algebraMap_apply
+-/
 
 #print MvPolynomial.aeval /-
 /-- A map `σ → S₁` where `S₁` is an algebra over `R` generates an `R`-algebra homomorphism
@@ -1429,104 +1777,145 @@ def aeval : MvPolynomial σ R →ₐ[R] S₁ :=
 #align mv_polynomial.aeval MvPolynomial.aeval
 -/
 
+#print MvPolynomial.aeval_def /-
 theorem aeval_def (p : MvPolynomial σ R) : aeval f p = eval₂ (algebraMap R S₁) f p :=
   rfl
 #align mv_polynomial.aeval_def MvPolynomial.aeval_def
+-/
 
+#print MvPolynomial.aeval_eq_eval₂Hom /-
 theorem aeval_eq_eval₂Hom (p : MvPolynomial σ R) : aeval f p = eval₂Hom (algebraMap R S₁) f p :=
   rfl
 #align mv_polynomial.aeval_eq_eval₂_hom MvPolynomial.aeval_eq_eval₂Hom
+-/
 
+#print MvPolynomial.aeval_X /-
 @[simp]
 theorem aeval_X (s : σ) : aeval f (X s : MvPolynomial _ R) = f s :=
   eval₂_X _ _ _
 #align mv_polynomial.aeval_X MvPolynomial.aeval_X
+-/
 
+#print MvPolynomial.aeval_C /-
 @[simp]
 theorem aeval_C (r : R) : aeval f (C r) = algebraMap R S₁ r :=
   eval₂_C _ _ _
 #align mv_polynomial.aeval_C MvPolynomial.aeval_C
+-/
 
+#print MvPolynomial.aeval_unique /-
 theorem aeval_unique (φ : MvPolynomial σ R →ₐ[R] S₁) : φ = aeval (φ ∘ X) := by ext i; simp
 #align mv_polynomial.aeval_unique MvPolynomial.aeval_unique
+-/
 
+#print MvPolynomial.aeval_X_left /-
 theorem aeval_X_left : aeval X = AlgHom.id R (MvPolynomial σ R) :=
   (aeval_unique (AlgHom.id R _)).symm
 #align mv_polynomial.aeval_X_left MvPolynomial.aeval_X_left
+-/
 
+#print MvPolynomial.aeval_X_left_apply /-
 theorem aeval_X_left_apply (p : MvPolynomial σ R) : aeval X p = p :=
   AlgHom.congr_fun aeval_X_left p
 #align mv_polynomial.aeval_X_left_apply MvPolynomial.aeval_X_left_apply
+-/
 
+#print MvPolynomial.comp_aeval /-
 theorem comp_aeval {B : Type _} [CommSemiring B] [Algebra R B] (φ : S₁ →ₐ[R] B) :
     φ.comp (aeval f) = aeval fun i => φ (f i) := by ext i; simp
 #align mv_polynomial.comp_aeval MvPolynomial.comp_aeval
+-/
 
+#print MvPolynomial.map_aeval /-
 @[simp]
 theorem map_aeval {B : Type _} [CommSemiring B] (g : σ → S₁) (φ : S₁ →+* B) (p : MvPolynomial σ R) :
     φ (aeval g p) = eval₂Hom (φ.comp (algebraMap R S₁)) (fun i => φ (g i)) p := by
   rw [← comp_eval₂_hom]; rfl
 #align mv_polynomial.map_aeval MvPolynomial.map_aeval
+-/
 
+#print MvPolynomial.eval₂Hom_zero /-
 @[simp]
 theorem eval₂Hom_zero (f : R →+* S₂) : eval₂Hom f (0 : σ → S₂) = f.comp constantCoeff := by
   ext <;> simp
 #align mv_polynomial.eval₂_hom_zero MvPolynomial.eval₂Hom_zero
+-/
 
+#print MvPolynomial.eval₂Hom_zero' /-
 @[simp]
 theorem eval₂Hom_zero' (f : R →+* S₂) : eval₂Hom f (fun _ => 0 : σ → S₂) = f.comp constantCoeff :=
   eval₂Hom_zero f
 #align mv_polynomial.eval₂_hom_zero' MvPolynomial.eval₂Hom_zero'
+-/
 
+#print MvPolynomial.eval₂Hom_zero_apply /-
 theorem eval₂Hom_zero_apply (f : R →+* S₂) (p : MvPolynomial σ R) :
     eval₂Hom f (0 : σ → S₂) p = f (constantCoeff p) :=
   RingHom.congr_fun (eval₂Hom_zero f) p
 #align mv_polynomial.eval₂_hom_zero_apply MvPolynomial.eval₂Hom_zero_apply
+-/
 
+#print MvPolynomial.eval₂Hom_zero'_apply /-
 theorem eval₂Hom_zero'_apply (f : R →+* S₂) (p : MvPolynomial σ R) :
     eval₂Hom f (fun _ => 0 : σ → S₂) p = f (constantCoeff p) :=
   eval₂Hom_zero_apply f p
 #align mv_polynomial.eval₂_hom_zero'_apply MvPolynomial.eval₂Hom_zero'_apply
+-/
 
+#print MvPolynomial.eval₂_zero_apply /-
 @[simp]
 theorem eval₂_zero_apply (f : R →+* S₂) (p : MvPolynomial σ R) :
     eval₂ f (0 : σ → S₂) p = f (constantCoeff p) :=
   eval₂Hom_zero_apply _ _
 #align mv_polynomial.eval₂_zero_apply MvPolynomial.eval₂_zero_apply
+-/
 
+#print MvPolynomial.eval₂_zero'_apply /-
 @[simp]
 theorem eval₂_zero'_apply (f : R →+* S₂) (p : MvPolynomial σ R) :
     eval₂ f (fun _ => 0 : σ → S₂) p = f (constantCoeff p) :=
   eval₂_zero_apply f p
 #align mv_polynomial.eval₂_zero'_apply MvPolynomial.eval₂_zero'_apply
+-/
 
+#print MvPolynomial.aeval_zero /-
 @[simp]
 theorem aeval_zero (p : MvPolynomial σ R) :
     aeval (0 : σ → S₁) p = algebraMap _ _ (constantCoeff p) :=
   eval₂Hom_zero_apply (algebraMap R S₁) p
 #align mv_polynomial.aeval_zero MvPolynomial.aeval_zero
+-/
 
+#print MvPolynomial.aeval_zero' /-
 @[simp]
 theorem aeval_zero' (p : MvPolynomial σ R) :
     aeval (fun _ => 0 : σ → S₁) p = algebraMap _ _ (constantCoeff p) :=
   aeval_zero p
 #align mv_polynomial.aeval_zero' MvPolynomial.aeval_zero'
+-/
 
+#print MvPolynomial.eval_zero /-
 @[simp]
 theorem eval_zero : eval (0 : σ → R) = constantCoeff :=
   eval₂Hom_zero _
 #align mv_polynomial.eval_zero MvPolynomial.eval_zero
+-/
 
+#print MvPolynomial.eval_zero' /-
 @[simp]
 theorem eval_zero' : eval (fun _ => 0 : σ → R) = constantCoeff :=
   eval₂Hom_zero _
 #align mv_polynomial.eval_zero' MvPolynomial.eval_zero'
+-/
 
+#print MvPolynomial.aeval_monomial /-
 theorem aeval_monomial (g : σ → S₁) (d : σ →₀ ℕ) (r : R) :
     aeval g (monomial d r) = algebraMap _ _ r * d.Prod fun i k => g i ^ k :=
   eval₂Hom_monomial _ _ _ _
 #align mv_polynomial.aeval_monomial MvPolynomial.aeval_monomial
+-/
 
+#print MvPolynomial.eval₂Hom_eq_zero /-
 theorem eval₂Hom_eq_zero (f : R →+* S₂) (g : σ → S₂) (φ : MvPolynomial σ R)
     (h : ∀ d, φ.coeff d ≠ 0 → ∃ i ∈ d.support, g i = 0) : eval₂Hom f g φ = 0 :=
   by
@@ -1537,31 +1926,40 @@ theorem eval₂Hom_eq_zero (f : R →+* S₂) (g : σ → S₂) (φ : MvPolynomi
   rw [hgi, zero_pow]
   rwa [pos_iff_ne_zero, ← Finsupp.mem_support_iff]
 #align mv_polynomial.eval₂_hom_eq_zero MvPolynomial.eval₂Hom_eq_zero
+-/
 
+#print MvPolynomial.aeval_eq_zero /-
 theorem aeval_eq_zero [Algebra R S₂] (f : σ → S₂) (φ : MvPolynomial σ R)
     (h : ∀ d, φ.coeff d ≠ 0 → ∃ i ∈ d.support, f i = 0) : aeval f φ = 0 :=
   eval₂Hom_eq_zero _ _ _ h
 #align mv_polynomial.aeval_eq_zero MvPolynomial.aeval_eq_zero
+-/
 
+#print MvPolynomial.aeval_sum /-
 theorem aeval_sum {ι : Type _} (s : Finset ι) (φ : ι → MvPolynomial σ R) :
     aeval f (∑ i in s, φ i) = ∑ i in s, aeval f (φ i) :=
   (MvPolynomial.aeval f).map_sum _ _
 #align mv_polynomial.aeval_sum MvPolynomial.aeval_sum
+-/
 
+#print MvPolynomial.aeval_prod /-
 @[to_additive]
 theorem aeval_prod {ι : Type _} (s : Finset ι) (φ : ι → MvPolynomial σ R) :
     aeval f (∏ i in s, φ i) = ∏ i in s, aeval f (φ i) :=
   (MvPolynomial.aeval f).map_prod _ _
 #align mv_polynomial.aeval_prod MvPolynomial.aeval_prod
 #align mv_polynomial.aeval_sum MvPolynomial.aeval_sum
+-/
 
 variable (R)
 
+#print Algebra.adjoin_range_eq_range_aeval /-
 theorem Algebra.adjoin_range_eq_range_aeval :
     Algebra.adjoin R (Set.range f) = (MvPolynomial.aeval f).range := by
   simp only [← Algebra.map_top, ← MvPolynomial.adjoin_range_X, AlgHom.map_adjoin, ← Set.range_comp,
     (· ∘ ·), MvPolynomial.aeval_X]
 #align algebra.adjoin_range_eq_range_aeval Algebra.adjoin_range_eq_range_aeval
+-/
 
 #print Algebra.adjoin_eq_range /-
 theorem Algebra.adjoin_eq_range (s : Set S₁) :
@@ -1590,53 +1988,71 @@ def aevalTower (f : R →ₐ[S] A) (x : σ → A) : MvPolynomial σ R →ₐ[S]
 
 variable (g : R →ₐ[S] A) (y : σ → A)
 
+#print MvPolynomial.aevalTower_X /-
 @[simp]
 theorem aevalTower_X (i : σ) : aevalTower g y (X i) = y i :=
   eval₂_X _ _ _
 #align mv_polynomial.aeval_tower_X MvPolynomial.aevalTower_X
+-/
 
+#print MvPolynomial.aevalTower_C /-
 @[simp]
 theorem aevalTower_C (x : R) : aevalTower g y (C x) = g x :=
   eval₂_C _ _ _
 #align mv_polynomial.aeval_tower_C MvPolynomial.aevalTower_C
+-/
 
+#print MvPolynomial.aevalTower_comp_C /-
 @[simp]
 theorem aevalTower_comp_C : (aevalTower g y : MvPolynomial σ R →+* A).comp C = g :=
   RingHom.ext <| aevalTower_C _ _
 #align mv_polynomial.aeval_tower_comp_C MvPolynomial.aevalTower_comp_C
+-/
 
+#print MvPolynomial.aevalTower_algebraMap /-
 @[simp]
 theorem aevalTower_algebraMap (x : R) : aevalTower g y (algebraMap R (MvPolynomial σ R) x) = g x :=
   eval₂_C _ _ _
 #align mv_polynomial.aeval_tower_algebra_map MvPolynomial.aevalTower_algebraMap
+-/
 
+#print MvPolynomial.aevalTower_comp_algebraMap /-
 @[simp]
 theorem aevalTower_comp_algebraMap :
     (aevalTower g y : MvPolynomial σ R →+* A).comp (algebraMap R (MvPolynomial σ R)) = g :=
   aevalTower_comp_C _ _
 #align mv_polynomial.aeval_tower_comp_algebra_map MvPolynomial.aevalTower_comp_algebraMap
+-/
 
+#print MvPolynomial.aevalTower_toAlgHom /-
 theorem aevalTower_toAlgHom (x : R) :
     aevalTower g y (IsScalarTower.toAlgHom S R (MvPolynomial σ R) x) = g x :=
   aevalTower_algebraMap _ _ _
 #align mv_polynomial.aeval_tower_to_alg_hom MvPolynomial.aevalTower_toAlgHom
+-/
 
+#print MvPolynomial.aevalTower_comp_toAlgHom /-
 @[simp]
 theorem aevalTower_comp_toAlgHom :
     (aevalTower g y).comp (IsScalarTower.toAlgHom S R (MvPolynomial σ R)) = g :=
   AlgHom.coe_ringHom_injective <| aevalTower_comp_algebraMap _ _
 #align mv_polynomial.aeval_tower_comp_to_alg_hom MvPolynomial.aevalTower_comp_toAlgHom
+-/
 
+#print MvPolynomial.aevalTower_id /-
 @[simp]
 theorem aevalTower_id : aevalTower (AlgHom.id S S) = (aeval : (σ → S) → MvPolynomial σ S →ₐ[S] S) :=
   by ext; simp only [aeval_tower_X, aeval_X]
 #align mv_polynomial.aeval_tower_id MvPolynomial.aevalTower_id
+-/
 
+#print MvPolynomial.aevalTower_ofId /-
 @[simp]
 theorem aevalTower_ofId :
     aevalTower (Algebra.ofId S A) = (aeval : (σ → A) → MvPolynomial σ S →ₐ[S] A) := by ext;
   simp only [aeval_X, aeval_tower_X]
 #align mv_polynomial.aeval_tower_of_id MvPolynomial.aevalTower_ofId
+-/
 
 end AevalTower
 
@@ -1644,6 +2060,7 @@ section EvalMem
 
 variable {S subS : Type _} [CommSemiring S] [SetLike subS S] [SubsemiringClass subS S]
 
+#print MvPolynomial.eval₂_mem /-
 theorem eval₂_mem {f : R →+* S} {p : MvPolynomial σ R} {s : subS}
     (hs : ∀ i ∈ p.support, f (p.coeff i) ∈ s) {v : σ → S} (hv : ∀ i, v i ∈ s) :
     MvPolynomial.eval₂ f v p ∈ s := by
@@ -1669,11 +2086,14 @@ theorem eval₂_mem {f : R →+* S} {p : MvPolynomial σ R} {s : subS}
     exact zero_mem _
   · rwa [zero_add] at this 
 #align mv_polynomial.eval₂_mem MvPolynomial.eval₂_mem
+-/
 
+#print MvPolynomial.eval_mem /-
 theorem eval_mem {p : MvPolynomial σ S} {s : subS} (hs : ∀ i ∈ p.support, p.coeff i ∈ s) {v : σ → S}
     (hv : ∀ i, v i ∈ s) : MvPolynomial.eval v p ∈ s :=
   eval₂_mem hs hv
 #align mv_polynomial.eval_mem MvPolynomial.eval_mem
+-/
 
 end EvalMem
 

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

@@ -910,7 +910,7 @@ section AsSum
 
 @[simp]
 theorem support_sum_monomial_coeff (p : MvPolynomial σ R) :
-    (∑ v in p.support, monomial v (coeff v p)) = p :=
+    ∑ v in p.support, monomial v (coeff v p) = p :=
   Finsupp.sum_single p
 #align mv_polynomial.support_sum_monomial_coeff MvPolynomial.support_sum_monomial_coeff
 

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

@@ -989,7 +989,6 @@ theorem eval₂_mul_monomial :
         _ = (p * monomial (single n 1) 1).eval₂ f g * f a * s.prod fun n e => g n ^ e := by
           simp [ih, prod_single_index, prod_add_index, pow_one, pow_add, mul_assoc, mul_left_comm,
             f.map_one, -add_comm]
-        
 #align mv_polynomial.eval₂_mul_monomial MvPolynomial.eval₂_mul_monomial
 
 theorem eval₂_mul_C : (p * C a).eval₂ f g = p.eval₂ f g * f a :=

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

@@ -693,9 +693,9 @@ theorem coeff_X (i : σ) : coeff (single i 1) (X i : MvPolynomial σ R) = 1 := b
 @[simp]
 theorem coeff_C_mul (m) (a : R) (p : MvPolynomial σ R) : coeff m (C a * p) = a * coeff m p := by
   classical
-    rw [mul_def, sum_C]
-    · simp (config := { contextual := true }) [sum_def, coeff_sum]
-    simp
+  rw [mul_def, sum_C]
+  · simp (config := { contextual := true }) [sum_def, coeff_sum]
+  simp
 #align mv_polynomial.coeff_C_mul MvPolynomial.coeff_C_mul
 
 theorem coeff_mul (p q : MvPolynomial σ R) (n : σ →₀ ℕ) :
@@ -766,19 +766,19 @@ theorem support_symmDiff_support_subset_support_add [DecidableEq σ] (p q : MvPo
 theorem coeff_mul_monomial' (m) (s : σ →₀ ℕ) (r : R) (p : MvPolynomial σ R) :
     coeff m (p * monomial s r) = if s ≤ m then coeff (m - s) p * r else 0 := by
   classical
-    obtain rfl | hr := eq_or_ne r 0
-    · simp only [monomial_zero, coeff_zero, MulZeroClass.mul_zero, if_t_t]
-    haveI : Nontrivial R := nontrivial_of_ne _ _ hr
-    split_ifs with h h
-    · conv_rhs => rw [← coeff_mul_monomial _ s]
-      congr with t
-      rw [tsub_add_cancel_of_le h]
-    · rw [← not_mem_support_iff]; intro hm; apply h
-      have H := support_mul _ _ hm; simp only [Finset.mem_biUnion] at H 
-      rcases H with ⟨j, hj, i', hi', H⟩
-      rw [support_monomial, if_neg hr, Finset.mem_singleton] at hi' ; subst i'
-      rw [Finset.mem_singleton] at H ; subst m
-      exact le_add_left le_rfl
+  obtain rfl | hr := eq_or_ne r 0
+  · simp only [monomial_zero, coeff_zero, MulZeroClass.mul_zero, if_t_t]
+  haveI : Nontrivial R := nontrivial_of_ne _ _ hr
+  split_ifs with h h
+  · conv_rhs => rw [← coeff_mul_monomial _ s]
+    congr with t
+    rw [tsub_add_cancel_of_le h]
+  · rw [← not_mem_support_iff]; intro hm; apply h
+    have H := support_mul _ _ hm; simp only [Finset.mem_biUnion] at H 
+    rcases H with ⟨j, hj, i', hi', H⟩
+    rw [support_monomial, if_neg hr, Finset.mem_singleton] at hi' ; subst i'
+    rw [Finset.mem_singleton] at H ; subst m
+    exact le_add_left le_rfl
 #align mv_polynomial.coeff_mul_monomial' MvPolynomial.coeff_mul_monomial'
 
 theorem coeff_monomial_mul' (m) (s : σ →₀ ℕ) (r : R) (p : MvPolynomial σ R) :
@@ -829,15 +829,15 @@ theorem C_dvd_iff_dvd_coeff (r : R) (φ : MvPolynomial σ R) : C r ∣ φ ↔ 
   · intro h
     choose c hc using h
     classical
-      let c' : (σ →₀ ℕ) → R := fun i => if i ∈ φ.support then c i else 0
-      let ψ : MvPolynomial σ R := ∑ i in φ.support, monomial i (c' i)
-      use ψ
-      apply MvPolynomial.ext
-      intro i
-      simp only [coeff_C_mul, coeff_sum, coeff_monomial, Finset.sum_ite_eq', c']
-      split_ifs with hi hi
-      · rw [hc]
-      · rw [not_mem_support_iff] at hi ; rwa [MulZeroClass.mul_zero]
+    let c' : (σ →₀ ℕ) → R := fun i => if i ∈ φ.support then c i else 0
+    let ψ : MvPolynomial σ R := ∑ i in φ.support, monomial i (c' i)
+    use ψ
+    apply MvPolynomial.ext
+    intro i
+    simp only [coeff_C_mul, coeff_sum, coeff_monomial, Finset.sum_ite_eq', c']
+    split_ifs with hi hi
+    · rw [hc]
+    · rw [not_mem_support_iff] at hi ; rwa [MulZeroClass.mul_zero]
 #align mv_polynomial.C_dvd_iff_dvd_coeff MvPolynomial.C_dvd_iff_dvd_coeff
 
 end Coeff
@@ -977,19 +977,19 @@ theorem eval₂_X (n) : (X n).eval₂ f g = g n := by
 theorem eval₂_mul_monomial :
     ∀ {s a}, (p * monomial s a).eval₂ f g = p.eval₂ f g * f a * s.Prod fun n e => g n ^ e := by
   classical
-    apply MvPolynomial.induction_on p
-    · intro a' s a
-      simp [C_mul_monomial, eval₂_monomial, f.map_mul]
-    · intro p q ih_p ih_q; simp [add_mul, eval₂_add, ih_p, ih_q]
-    · intro p n ih s a
-      exact
-        calc
-          (p * X n * monomial s a).eval₂ f g = (p * monomial (single n 1 + s) a).eval₂ f g := by
-            rw [monomial_single_add, pow_one, mul_assoc]
-          _ = (p * monomial (single n 1) 1).eval₂ f g * f a * s.prod fun n e => g n ^ e := by
-            simp [ih, prod_single_index, prod_add_index, pow_one, pow_add, mul_assoc, mul_left_comm,
-              f.map_one, -add_comm]
-          
+  apply MvPolynomial.induction_on p
+  · intro a' s a
+    simp [C_mul_monomial, eval₂_monomial, f.map_mul]
+  · intro p q ih_p ih_q; simp [add_mul, eval₂_add, ih_p, ih_q]
+  · intro p n ih s a
+    exact
+      calc
+        (p * X n * monomial s a).eval₂ f g = (p * monomial (single n 1 + s) a).eval₂ f g := by
+          rw [monomial_single_add, pow_one, mul_assoc]
+        _ = (p * monomial (single n 1) 1).eval₂ f g * f a * s.prod fun n e => g n ^ e := by
+          simp [ih, prod_single_index, prod_add_index, pow_one, pow_add, mul_assoc, mul_left_comm,
+            f.map_one, -add_comm]
+        
 #align mv_polynomial.eval₂_mul_monomial MvPolynomial.eval₂_mul_monomial
 
 theorem eval₂_mul_C : (p * C a).eval₂ f g = p.eval₂ f g * f a :=
@@ -1266,13 +1266,13 @@ theorem map_eval₂ (f : R →+* S₁) (g : S₂ → MvPolynomial S₃ R) (p : M
 
 theorem coeff_map (p : MvPolynomial σ R) : ∀ m : σ →₀ ℕ, coeff m (map f p) = f (coeff m p) := by
   classical
-    apply MvPolynomial.induction_on p <;> clear p
-    · intro r m; rw [map_C]; simp only [coeff_C]; split_ifs; · rfl; rw [f.map_zero]
-    · intro p q hp hq m; simp only [hp, hq, (map f).map_add, coeff_add]; rw [f.map_add]
-    · intro p i hp m; simp only [hp, (map f).map_mul, map_X]
-      simp only [hp, mem_support_iff, coeff_mul_X']
-      split_ifs; · rfl
-      rw [f.map_zero]
+  apply MvPolynomial.induction_on p <;> clear p
+  · intro r m; rw [map_C]; simp only [coeff_C]; split_ifs; · rfl; rw [f.map_zero]
+  · intro p q hp hq m; simp only [hp, hq, (map f).map_add, coeff_add]; rw [f.map_add]
+  · intro p i hp m; simp only [hp, (map f).map_mul, map_X]
+    simp only [hp, mem_support_iff, coeff_mul_X']
+    split_ifs; · rfl
+    rw [f.map_zero]
 #align mv_polynomial.coeff_map MvPolynomial.coeff_map
 
 theorem map_injective (hf : Function.Injective f) :
@@ -1649,26 +1649,26 @@ theorem eval₂_mem {f : R →+* S} {p : MvPolynomial σ R} {s : subS}
     (hs : ∀ i ∈ p.support, f (p.coeff i) ∈ s) {v : σ → S} (hv : ∀ i, v i ∈ s) :
     MvPolynomial.eval₂ f v p ∈ s := by
   classical
-    replace hs : ∀ i, f (p.coeff i) ∈ s
-    · intro i
-      by_cases hi : i ∈ p.support
-      · exact hs i hi
-      · rw [MvPolynomial.not_mem_support_iff.1 hi, f.map_zero]
-        exact zero_mem s
-    induction' p using MvPolynomial.induction_on''' with a a b f ha hb0 ih generalizing hs
-    · simpa using hs 0
-    rw [eval₂_add, eval₂_monomial]
-    refine' add_mem (mul_mem _ <| prod_mem fun i hi => pow_mem (hv _) _) (ih fun i => _)
-    ·
-      simpa only [coeff_add, coeff_monomial, if_pos rfl, MvPolynomial.not_mem_support_iff.1 ha,
-        add_zero] using hs a
-    have := hs i
-    rw [coeff_add, coeff_monomial] at this 
-    split_ifs  at this  with h h
-    · subst h
-      rw [MvPolynomial.not_mem_support_iff.1 ha, map_zero]
-      exact zero_mem _
-    · rwa [zero_add] at this 
+  replace hs : ∀ i, f (p.coeff i) ∈ s
+  · intro i
+    by_cases hi : i ∈ p.support
+    · exact hs i hi
+    · rw [MvPolynomial.not_mem_support_iff.1 hi, f.map_zero]
+      exact zero_mem s
+  induction' p using MvPolynomial.induction_on''' with a a b f ha hb0 ih generalizing hs
+  · simpa using hs 0
+  rw [eval₂_add, eval₂_monomial]
+  refine' add_mem (mul_mem _ <| prod_mem fun i hi => pow_mem (hv _) _) (ih fun i => _)
+  ·
+    simpa only [coeff_add, coeff_monomial, if_pos rfl, MvPolynomial.not_mem_support_iff.1 ha,
+      add_zero] using hs a
+  have := hs i
+  rw [coeff_add, coeff_monomial] at this 
+  split_ifs at this  with h h
+  · subst h
+    rw [MvPolynomial.not_mem_support_iff.1 ha, map_zero]
+    exact zero_mem _
+  · rwa [zero_add] at this 
 #align mv_polynomial.eval₂_mem MvPolynomial.eval₂_mem
 
 theorem eval_mem {p : MvPolynomial σ S} {s : subS} (hs : ∀ i ∈ p.support, p.coeff i ∈ s) {v : σ → S}

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

@@ -425,7 +425,7 @@ theorem induction_on' {P : MvPolynomial σ R → Prop} (p : MvPolynomial σ R)
     (h1 : ∀ (u : σ →₀ ℕ) (a : R), P (monomial u a))
     (h2 : ∀ p q : MvPolynomial σ R, P p → P q → P (p + q)) : P p :=
   Finsupp.induction p
-    (suffices P (monomial 0 0) by rwa [monomial_zero] at this
+    (suffices P (monomial 0 0) by rwa [monomial_zero] at this 
     show P (monomial 0 0) from h1 0 0)
     fun a b f ha hb hPf => h2 _ _ (h1 _ _) hPf
 #align mv_polynomial.induction_on' MvPolynomial.induction_on'
@@ -458,7 +458,7 @@ theorem induction_on {M : MvPolynomial σ R → Prop} (p : MvPolynomial σ R) (h
 
 theorem ringHom_ext {A : Type _} [Semiring A] {f g : MvPolynomial σ R →+* A}
     (hC : ∀ r, f (C r) = g (C r)) (hX : ∀ i, f (X i) = g (X i)) : f = g := by ext;
-  exacts[hC _, hX _]
+  exacts [hC _, hX _]
 #align mv_polynomial.ring_hom_ext MvPolynomial.ringHom_ext
 
 /-- See note [partially-applied ext lemmas]. -/
@@ -676,7 +676,7 @@ theorem coeff_X_pow [DecidableEq σ] (i : σ) (m) (k : ℕ) :
   by
   have := coeff_monomial m (Finsupp.single i k) (1 : R)
   rwa [@monomial_eq _ _ (1 : R) (Finsupp.single i k) _, C_1, one_mul, Finsupp.prod_single_index] at
-    this
+    this 
   exact pow_zero _
 #align mv_polynomial.coeff_X_pow MvPolynomial.coeff_X_pow
 
@@ -749,7 +749,7 @@ theorem support_sdiff_support_subset_support_add [DecidableEq σ] (p q : MvPolyn
     p.support \ q.support ⊆ (p + q).support :=
   by
   intro m hm
-  simp only [Classical.not_not, mem_support_iff, Finset.mem_sdiff, Ne.def] at hm
+  simp only [Classical.not_not, mem_support_iff, Finset.mem_sdiff, Ne.def] at hm 
   simp [hm.2, hm.1]
 #align mv_polynomial.support_sdiff_support_subset_support_add MvPolynomial.support_sdiff_support_subset_support_add
 
@@ -774,10 +774,10 @@ theorem coeff_mul_monomial' (m) (s : σ →₀ ℕ) (r : R) (p : MvPolynomial σ
       congr with t
       rw [tsub_add_cancel_of_le h]
     · rw [← not_mem_support_iff]; intro hm; apply h
-      have H := support_mul _ _ hm; simp only [Finset.mem_biUnion] at H
+      have H := support_mul _ _ hm; simp only [Finset.mem_biUnion] at H 
       rcases H with ⟨j, hj, i', hi', H⟩
-      rw [support_monomial, if_neg hr, Finset.mem_singleton] at hi'; subst i'
-      rw [Finset.mem_singleton] at H; subst m
+      rw [support_monomial, if_neg hr, Finset.mem_singleton] at hi' ; subst i'
+      rw [Finset.mem_singleton] at H ; subst m
       exact le_add_left le_rfl
 #align mv_polynomial.coeff_mul_monomial' MvPolynomial.coeff_mul_monomial'
 
@@ -837,7 +837,7 @@ theorem C_dvd_iff_dvd_coeff (r : R) (φ : MvPolynomial σ R) : C r ∣ φ ↔ 
       simp only [coeff_C_mul, coeff_sum, coeff_monomial, Finset.sum_ite_eq', c']
       split_ifs with hi hi
       · rw [hc]
-      · rw [not_mem_support_iff] at hi; rwa [MulZeroClass.mul_zero]
+      · rw [not_mem_support_iff] at hi ; rwa [MulZeroClass.mul_zero]
 #align mv_polynomial.C_dvd_iff_dvd_coeff MvPolynomial.C_dvd_iff_dvd_coeff
 
 end Coeff
@@ -1089,7 +1089,7 @@ theorem eval₂_congr (g₁ g₂ : σ → S₁)
   apply Finset.prod_congr rfl
   intro i hi; dsimp; congr 1
   apply h hi
-  rwa [Finsupp.mem_support_iff] at hc
+  rwa [Finsupp.mem_support_iff] at hc 
 #align mv_polynomial.eval₂_congr MvPolynomial.eval₂_congr
 
 @[simp]
@@ -1237,7 +1237,7 @@ theorem eval₂_eq_eval_map (g : σ → S₁) (p : MvPolynomial σ R) : p.eval
   by
   unfold map eval; simp only [coe_eval₂_hom]
   have h := eval₂_comp_left (eval₂_hom _ g)
-  dsimp at h
+  dsimp at h 
   rw [h]
   congr
   · ext1 a; simp only [coe_eval₂_hom, RingHom.id_apply, comp_app, eval₂_C, RingHom.coe_comp]
@@ -1279,7 +1279,7 @@ theorem map_injective (hf : Function.Injective f) :
     Function.Injective (map f : MvPolynomial σ R → MvPolynomial σ S₁) :=
   by
   intro p q h
-  simp only [ext_iff, coeff_map] at h⊢
+  simp only [ext_iff, coeff_map] at h ⊢
   intro m
   exact hf (h m)
 #align mv_polynomial.map_injective MvPolynomial.map_injective
@@ -1357,8 +1357,8 @@ theorem support_map_of_injective (p : MvPolynomial σ R) {f : R →+* S₁} (hf
   rw [mem_support_iff]
   contrapose! hx
   simp only [Classical.not_not, mem_support_iff]
-  change (map f p).coeff x = 0 at hx
-  rw [coeff_map, ← f.map_zero] at hx
+  change (map f p).coeff x = 0 at hx 
+  rw [coeff_map, ← f.map_zero] at hx 
   exact hf hx
 #align mv_polynomial.support_map_of_injective MvPolynomial.support_map_of_injective
 
@@ -1663,12 +1663,12 @@ theorem eval₂_mem {f : R →+* S} {p : MvPolynomial σ R} {s : subS}
       simpa only [coeff_add, coeff_monomial, if_pos rfl, MvPolynomial.not_mem_support_iff.1 ha,
         add_zero] using hs a
     have := hs i
-    rw [coeff_add, coeff_monomial] at this
-    split_ifs  at this with h h
+    rw [coeff_add, coeff_monomial] at this 
+    split_ifs  at this  with h h
     · subst h
       rw [MvPolynomial.not_mem_support_iff.1 ha, map_zero]
       exact zero_mem _
-    · rwa [zero_add] at this
+    · rwa [zero_add] at this 
 #align mv_polynomial.eval₂_mem MvPolynomial.eval₂_mem
 
 theorem eval_mem {p : MvPolynomial σ S} {s : subS} (hs : ∀ i ∈ p.support, p.coeff i ∈ s) {v : σ → S}

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

@@ -77,11 +77,11 @@ polynomial, multivariate polynomial, multivariable polynomial
 
 noncomputable section
 
-open BigOperators
+open scoped BigOperators
 
 open Set Function Finsupp AddMonoidAlgebra
 
-open BigOperators
+open scoped BigOperators
 
 universe u v w x
 

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

@@ -145,12 +145,6 @@ instance [CommSemiring S₁] [SMulZeroClass R S₁] [SMulZeroClass Rᵐᵒᵖ S
 instance [CommSemiring R] [CommSemiring S₁] [Algebra R S₁] : Algebra R (MvPolynomial σ S₁) :=
   AddMonoidAlgebra.algebra
 
-/- warning: mv_polynomial.is_scalar_tower' -> MvPolynomial.isScalarTower' is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {S₁ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] [_inst_3 : Algebra.{u1, u2} R S₁ _inst_1 (CommSemiring.toSemiring.{u2} S₁ _inst_2)], IsScalarTower.{u1, max u3 u2, max u3 u2} R (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.{u3, u2} σ S₁ _inst_2) (SMulZeroClass.toHasSmul.{u1, max u3 u2} R (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MulZeroClass.toHasZero.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (NonUnitalNonAssocSemiring.toMulZeroClass.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))))) (MvPolynomial.smulZeroClass.{u1, u2, u3} R S₁ σ _inst_2 (SMulWithZero.toSmulZeroClass.{u1, u2} R S₁ (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (MulZeroClass.toHasZero.{u2} S₁ (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S₁ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R S₁ (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toHasZero.{u2} S₁ (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S₁ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))))) (Module.toMulActionWithZero.{u1, u2} R S₁ (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S₁ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)))) (Algebra.toModule.{u1, u2} R S₁ _inst_1 (CommSemiring.toSemiring.{u2} S₁ _inst_2) _inst_3)))))) (Mul.toSMul.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Distrib.toHasMul.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (NonUnitalNonAssocSemiring.toDistrib.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2))))))) (SMulZeroClass.toHasSmul.{u1, max u3 u2} R (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MulZeroClass.toHasZero.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (NonUnitalNonAssocSemiring.toMulZeroClass.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))))) (MvPolynomial.smulZeroClass.{u1, u2, u3} R S₁ σ _inst_2 (SMulWithZero.toSmulZeroClass.{u1, u2} R S₁ (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (MulZeroClass.toHasZero.{u2} S₁ (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S₁ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R S₁ (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toHasZero.{u2} S₁ (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S₁ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))))) (Module.toMulActionWithZero.{u1, u2} R S₁ (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S₁ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)))) (Algebra.toModule.{u1, u2} R S₁ _inst_1 (CommSemiring.toSemiring.{u2} S₁ _inst_2) _inst_3))))))
-but is expected to have type
-  forall {R : Type.{u1}} {S₁ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] [_inst_3 : Algebra.{u1, u2} R S₁ _inst_1 (CommSemiring.toSemiring.{u2} S₁ _inst_2)], IsScalarTower.{u1, max u2 u3, max u2 u3} R (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Algebra.toSMul.{u1, max u2 u3} R (MvPolynomial.{u3, u2} σ S₁ _inst_2) _inst_1 (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)) (MvPolynomial.algebra.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 _inst_3)) (Algebra.toSMul.{max u2 u3, max u2 u3} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)) (Algebra.id.{max u2 u3} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2))) (Algebra.toSMul.{u1, max u2 u3} R (MvPolynomial.{u3, u2} σ S₁ _inst_2) _inst_1 (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)) (MvPolynomial.algebra.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 _inst_3))
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.is_scalar_tower' MvPolynomial.isScalarTower'ₓ'. -/
 -- Register with high priority to avoid timeout in `data.mv_polynomial.pderiv`
 instance isScalarTower' [CommSemiring R] [CommSemiring S₁] [Algebra R S₁] :
     IsScalarTower R (MvPolynomial σ S₁) (MvPolynomial σ S₁) :=
@@ -175,19 +169,10 @@ def monomial (s : σ →₀ ℕ) : R →ₗ[R] MvPolynomial σ R :=
 #align mv_polynomial.monomial MvPolynomial.monomial
 -/
 
-/- warning: mv_polynomial.single_eq_monomial -> MvPolynomial.single_eq_monomial is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] (s : Finsupp.{u2, 0} σ Nat Nat.hasZero) (a : R), Eq.{max (succ u2) (succ u1)} (Finsupp.{u2, u1} (Finsupp.{u2, 0} σ Nat Nat.hasZero) R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))) (Finsupp.single.{u2, u1} (Finsupp.{u2, 0} σ Nat Nat.hasZero) R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) s a) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 s) a)
-but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] (s : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (a : R), Eq.{max (succ u2) (succ u1)} (Finsupp.{u1, u2} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))) (Finsupp.single.{u1, u2} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1)) s a) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s) a)
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.single_eq_monomial MvPolynomial.single_eq_monomialₓ'. -/
 theorem single_eq_monomial (s : σ →₀ ℕ) (a : R) : single s a = monomial s a :=
   rfl
 #align mv_polynomial.single_eq_monomial MvPolynomial.single_eq_monomial
 
-/- warning: mv_polynomial.mul_def -> MvPolynomial.mul_def is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.mul_def MvPolynomial.mul_defₓ'. -/
 theorem mul_def : p * q = p.Sum fun m a => q.Sum fun n b => monomial (m + n) (a * b) :=
   rfl
 #align mv_polynomial.mul_def MvPolynomial.mul_def
@@ -201,12 +186,6 @@ def C : R →+* MvPolynomial σ R :=
 
 variable (R σ)
 
-/- warning: mv_polynomial.algebra_map_eq -> MvPolynomial.algebraMap_eq is a dubious translation:
-lean 3 declaration is
-  forall (R : Type.{u1}) (σ : Type.{u2}) [_inst_1 : CommSemiring.{u1} R], Eq.{max (succ u1) (succ (max u2 u1))} (RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (algebraMap.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1))) (MvPolynomial.C.{u1, u2} R σ _inst_1)
-but is expected to have type
-  forall (R : Type.{u2}) (σ : Type.{u1}) [_inst_1 : CommSemiring.{u2} R], Eq.{max (succ u2) (succ u1)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (algebraMap.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) (MvPolynomial.C.{u2, u1} R σ _inst_1)
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.algebra_map_eq MvPolynomial.algebraMap_eqₓ'. -/
 theorem algebraMap_eq : algebraMap R (MvPolynomial σ R) = C :=
   rfl
 #align mv_polynomial.algebra_map_eq MvPolynomial.algebraMap_eq
@@ -220,102 +199,54 @@ def X (n : σ) : MvPolynomial σ R :=
 #align mv_polynomial.X MvPolynomial.X
 -/
 
-/- warning: mv_polynomial.monomial_left_injective -> MvPolynomial.monomial_left_injective is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {r : R}, (Ne.{succ u1} R r (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))))))) -> (Function.Injective.{succ u2, max (succ u2) (succ u1)} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (MvPolynomial.{u2, u1} σ R _inst_1) (fun (s : Finsupp.{u2, 0} σ Nat Nat.hasZero) => coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 s) r))
-but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] {r : R}, (Ne.{succ u2} R r (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))))) -> (Function.Injective.{succ u1, max (succ u2) (succ u1)} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) r) (fun (s : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s) r))
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.monomial_left_injective MvPolynomial.monomial_left_injectiveₓ'. -/
 theorem monomial_left_injective {r : R} (hr : r ≠ 0) :
     Function.Injective fun s : σ →₀ ℕ => monomial s r :=
   Finsupp.single_left_injective hr
 #align mv_polynomial.monomial_left_injective MvPolynomial.monomial_left_injective
 
-/- warning: mv_polynomial.monomial_left_inj -> MvPolynomial.monomial_left_inj is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.monomial_left_inj MvPolynomial.monomial_left_injₓ'. -/
 @[simp]
 theorem monomial_left_inj {s t : σ →₀ ℕ} {r : R} (hr : r ≠ 0) :
     monomial s r = monomial t r ↔ s = t :=
   Finsupp.single_left_inj hr
 #align mv_polynomial.monomial_left_inj MvPolynomial.monomial_left_inj
 
-/- warning: mv_polynomial.C_apply -> MvPolynomial.C_apply is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.C_apply MvPolynomial.C_applyₓ'. -/
 theorem C_apply : (C a : MvPolynomial σ R) = monomial 0 a :=
   rfl
 #align mv_polynomial.C_apply MvPolynomial.C_apply
 
-/- warning: mv_polynomial.C_0 -> MvPolynomial.C_0 is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R], Eq.{max (succ u2) (succ u1)} (MvPolynomial.{u2, u1} σ R _inst_1) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (fun (_x : RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (MvPolynomial.C.{u1, u2} R σ _inst_1) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))))))) (OfNat.ofNat.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) 0 (OfNat.mk.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) 0 (Zero.zero.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MulZeroClass.toHasZero.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toMulZeroClass.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))))))))
-but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R], Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))))) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))))) (OfNat.ofNat.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) 0 (Zero.toOfNat0.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommMonoidWithZero.toZero.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toCommMonoidWithZero.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.C_0 MvPolynomial.C_0ₓ'. -/
 @[simp]
 theorem C_0 : C 0 = (0 : MvPolynomial σ R) := by simp [C_apply, monomial]
 #align mv_polynomial.C_0 MvPolynomial.C_0
 
-/- warning: mv_polynomial.C_1 -> MvPolynomial.C_1 is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R], Eq.{max (succ u2) (succ u1)} (MvPolynomial.{u2, u1} σ R _inst_1) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (fun (_x : RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (MvPolynomial.C.{u1, u2} R σ _inst_1) (OfNat.ofNat.{u1} R 1 (OfNat.mk.{u1} R 1 (One.one.{u1} R (AddMonoidWithOne.toOne.{u1} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} R (NonAssocSemiring.toAddCommMonoidWithOne.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))))))) (OfNat.ofNat.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) 1 (OfNat.mk.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) 1 (One.one.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (AddMonoidWithOne.toOne.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (AddCommMonoidWithOne.toAddMonoidWithOne.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toAddCommMonoidWithOne.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))))))))
-but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R], Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) (OfNat.ofNat.{u2} R 1 (One.toOfNat1.{u2} R (Semiring.toOne.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) (OfNat.ofNat.{u2} R 1 (One.toOfNat1.{u2} R (Semiring.toOne.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) (OfNat.ofNat.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) 1 (One.toOfNat1.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toOne.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.C_1 MvPolynomial.C_1ₓ'. -/
 @[simp]
 theorem C_1 : C 1 = (1 : MvPolynomial σ R) :=
   rfl
 #align mv_polynomial.C_1 MvPolynomial.C_1
 
-/- warning: mv_polynomial.C_mul_monomial -> MvPolynomial.C_mul_monomial is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.C_mul_monomial MvPolynomial.C_mul_monomialₓ'. -/
 theorem C_mul_monomial : C a * monomial s a' = monomial s (a * a') := by
   simp [C_apply, monomial, single_mul_single]
 #align mv_polynomial.C_mul_monomial MvPolynomial.C_mul_monomial
 
-/- warning: mv_polynomial.C_add -> MvPolynomial.C_add is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.C_add MvPolynomial.C_addₓ'. -/
 @[simp]
 theorem C_add : (C (a + a') : MvPolynomial σ R) = C a + C a' :=
   single_add _ _ _
 #align mv_polynomial.C_add MvPolynomial.C_add
 
-/- warning: mv_polynomial.C_mul -> MvPolynomial.C_mul is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.C_mul MvPolynomial.C_mulₓ'. -/
 @[simp]
 theorem C_mul : (C (a * a') : MvPolynomial σ R) = C a * C a' :=
   C_mul_monomial.symm
 #align mv_polynomial.C_mul MvPolynomial.C_mul
 
-/- warning: mv_polynomial.C_pow -> MvPolynomial.C_pow is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.C_pow MvPolynomial.C_powₓ'. -/
 @[simp]
 theorem C_pow (a : R) (n : ℕ) : (C (a ^ n) : MvPolynomial σ R) = C a ^ n := by
   induction n <;> simp [pow_succ, *]
 #align mv_polynomial.C_pow MvPolynomial.C_pow
 
-/- warning: mv_polynomial.C_injective -> MvPolynomial.C_injective is a dubious translation:
-lean 3 declaration is
-  forall (σ : Type.{u1}) (R : Type.{u2}) [_inst_3 : CommSemiring.{u2} R], Function.Injective.{succ u2, max (succ u1) (succ u2)} R (MvPolynomial.{u1, u2} σ R _inst_3) (coeFn.{max (succ u2) (succ (max u1 u2)), max (succ u2) (succ (max u1 u2))} (RingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_3) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_3) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_3) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_3)))) (fun (_x : RingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_3) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_3) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_3) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_3)))) => R -> (MvPolynomial.{u1, u2} σ R _inst_3)) (RingHom.hasCoeToFun.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_3) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_3) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_3) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_3)))) (MvPolynomial.C.{u2, u1} R σ _inst_3))
-but is expected to have type
-  forall (σ : Type.{u2}) (R : Type.{u1}) [_inst_3 : CommSemiring.{u1} R], Function.Injective.{succ u1, max (succ u2) (succ u1)} R (MvPolynomial.{u2, u1} σ R _inst_3) (FunLike.coe.{max (succ u2) (succ u1), succ u1, max (succ u2) (succ u1)} (RingHom.{u1, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_3)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u2, u1} σ R _inst_3) _x) (MulHomClass.toFunLike.{max u2 u1, u1, max u2 u1} (RingHom.{u1, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_3)))) R (MvPolynomial.{u2, u1} σ R _inst_3) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)))) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_3) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_3))))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u1, max u2 u1} (RingHom.{u1, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_3)))) R (MvPolynomial.{u2, u1} σ R _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_3) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_3)))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u1, max u2 u1} (RingHom.{u1, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_3)))) R (MvPolynomial.{u2, u1} σ R _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_3))) (RingHom.instRingHomClassRingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_3))))))) (MvPolynomial.C.{u1, u2} R σ _inst_3))
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.C_injective MvPolynomial.C_injectiveₓ'. -/
 theorem C_injective (σ : Type _) (R : Type _) [CommSemiring R] :
     Function.Injective (C : R → MvPolynomial σ R) :=
   Finsupp.single_injective _
 #align mv_polynomial.C_injective MvPolynomial.C_injective
 
-/- warning: mv_polynomial.C_surjective -> MvPolynomial.C_surjective is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} [_inst_3 : CommSemiring.{u1} R] (σ : Type.{u2}) [_inst_4 : IsEmpty.{succ u2} σ], Function.Surjective.{succ u1, max (succ u2) (succ u1)} R (MvPolynomial.{u2, u1} σ R _inst_3) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_3) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_3) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_3)))) (fun (_x : RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_3) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_3) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_3)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_3)) (RingHom.hasCoeToFun.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_3) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_3) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_3)))) (MvPolynomial.C.{u1, u2} R σ _inst_3))
-but is expected to have type
-  forall {R : Type.{u2}} [_inst_3 : CommSemiring.{u2} R] (σ : Type.{u1}) [_inst_4 : IsEmpty.{succ u1} σ], Function.Surjective.{succ u2, max (succ u2) (succ u1)} R (MvPolynomial.{u1, u2} σ R _inst_3) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_3) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_3) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_3) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_3)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_3) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_3) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_3) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_3) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_3)))) R (MvPolynomial.{u1, u2} σ R _inst_3) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_3) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_3) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_3) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_3))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_3) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_3) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_3) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_3)))) R (MvPolynomial.{u1, u2} σ R _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_3) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_3) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_3) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_3)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_3) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_3) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_3) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_3)))) R (MvPolynomial.{u1, u2} σ R _inst_3) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_3) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_3) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_3))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_3) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_3) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_3) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_3))))))) (MvPolynomial.C.{u2, u1} R σ _inst_3))
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.C_surjective MvPolynomial.C_surjectiveₓ'. -/
 theorem C_surjective {R : Type _} [CommSemiring R] (σ : Type _) [IsEmpty σ] :
     Function.Surjective (C : R → MvPolynomial σ R) :=
   by
@@ -323,12 +254,6 @@ theorem C_surjective {R : Type _} [CommSemiring R] (σ : Type _) [IsEmpty σ] :
   simpa [(Finsupp.ext isEmptyElim : a = 0), C_apply, monomial]
 #align mv_polynomial.C_surjective MvPolynomial.C_surjective
 
-/- warning: mv_polynomial.C_inj -> MvPolynomial.C_inj is a dubious translation:
-lean 3 declaration is
-  forall {σ : Type.{u1}} (R : Type.{u2}) [_inst_3 : CommSemiring.{u2} R] (r : R) (s : R), Iff (Eq.{max (succ u1) (succ u2)} (MvPolynomial.{u1, u2} σ R _inst_3) (coeFn.{max (succ u2) (succ (max u1 u2)), max (succ u2) (succ (max u1 u2))} (RingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_3) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_3) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_3) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_3)))) (fun (_x : RingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_3) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_3) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_3) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_3)))) => R -> (MvPolynomial.{u1, u2} σ R _inst_3)) (RingHom.hasCoeToFun.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_3) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_3) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_3) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_3)))) (MvPolynomial.C.{u2, u1} R σ _inst_3) r) (coeFn.{max (succ u2) (succ (max u1 u2)), max (succ u2) (succ (max u1 u2))} (RingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_3) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_3) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_3) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_3)))) (fun (_x : RingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_3) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_3) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_3) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_3)))) => R -> (MvPolynomial.{u1, u2} σ R _inst_3)) (RingHom.hasCoeToFun.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_3) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_3) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_3) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_3)))) (MvPolynomial.C.{u2, u1} R σ _inst_3) s)) (Eq.{succ u2} R r s)
-but is expected to have type
-  forall {σ : Type.{u2}} (R : Type.{u1}) [_inst_3 : CommSemiring.{u1} R] (r : R) (s : R), Iff (Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u2, u1} σ R _inst_3) r) (FunLike.coe.{max (succ u2) (succ u1), succ u1, max (succ u2) (succ u1)} (RingHom.{u1, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_3)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u2, u1} σ R _inst_3) _x) (MulHomClass.toFunLike.{max u2 u1, u1, max u2 u1} (RingHom.{u1, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_3)))) R (MvPolynomial.{u2, u1} σ R _inst_3) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)))) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_3) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_3))))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u1, max u2 u1} (RingHom.{u1, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_3)))) R (MvPolynomial.{u2, u1} σ R _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_3) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_3)))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u1, max u2 u1} (RingHom.{u1, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_3)))) R (MvPolynomial.{u2, u1} σ R _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_3))) (RingHom.instRingHomClassRingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_3))))))) (MvPolynomial.C.{u1, u2} R σ _inst_3) r) (FunLike.coe.{max (succ u2) (succ u1), succ u1, max (succ u2) (succ u1)} (RingHom.{u1, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_3)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u2, u1} σ R _inst_3) _x) (MulHomClass.toFunLike.{max u2 u1, u1, max u2 u1} (RingHom.{u1, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_3)))) R (MvPolynomial.{u2, u1} σ R _inst_3) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)))) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_3) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_3))))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u1, max u2 u1} (RingHom.{u1, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_3)))) R (MvPolynomial.{u2, u1} σ R _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_3) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_3)))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u1, max u2 u1} (RingHom.{u1, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_3)))) R (MvPolynomial.{u2, u1} σ R _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_3))) (RingHom.instRingHomClassRingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_3))))))) (MvPolynomial.C.{u1, u2} R σ _inst_3) s)) (Eq.{succ u1} R r s)
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.C_inj MvPolynomial.C_injₓ'. -/
 @[simp]
 theorem C_inj {σ : Type _} (R : Type _) [CommSemiring R] (r s : R) :
     (C r : MvPolynomial σ R) = C s ↔ r = s :=
@@ -350,84 +275,39 @@ instance infinite_of_nonempty (σ : Type _) (R : Type _) [Nonempty σ] [CommSemi
 #align mv_polynomial.infinite_of_nonempty MvPolynomial.infinite_of_nonempty
 -/
 
-/- warning: mv_polynomial.C_eq_coe_nat -> MvPolynomial.C_eq_coe_nat is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] (n : Nat), Eq.{max (succ u2) (succ u1)} (MvPolynomial.{u2, u1} σ R _inst_1) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (fun (_x : RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (MvPolynomial.C.{u1, u2} R σ _inst_1) ((fun (a : Type) (b : Type.{u1}) [self : HasLiftT.{1, succ u1} a b] => self.0) Nat R (HasLiftT.mk.{1, succ u1} Nat R (CoeTCₓ.coe.{1, succ u1} Nat R (Nat.castCoe.{u1} R (AddMonoidWithOne.toNatCast.{u1} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} R (NonAssocSemiring.toAddCommMonoidWithOne.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))))) n)) ((fun (a : Type) (b : Sort.{max (succ u2) (succ u1)}) [self : HasLiftT.{1, max (succ u2) (succ u1)} a b] => self.0) Nat (MvPolynomial.{u2, u1} σ R _inst_1) (HasLiftT.mk.{1, max (succ u2) (succ u1)} Nat (MvPolynomial.{u2, u1} σ R _inst_1) (CoeTCₓ.coe.{1, max (succ u2) (succ u1)} Nat (MvPolynomial.{u2, u1} σ R _inst_1) (Nat.castCoe.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (AddMonoidWithOne.toNatCast.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (AddCommMonoidWithOne.toAddMonoidWithOne.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toAddCommMonoidWithOne.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))))) n)
-but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] (n : Nat), Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) (Nat.cast.{u2} R (Semiring.toNatCast.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) n)) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) (Nat.cast.{u2} R (Semiring.toNatCast.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) n)) (Nat.cast.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) (Nat.cast.{u2} R (Semiring.toNatCast.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) n)) (Semiring.toNatCast.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) (Nat.cast.{u2} R (Semiring.toNatCast.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) n)) (CommSemiring.toSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) (Nat.cast.{u2} R (Semiring.toNatCast.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) n)) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) n)
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.C_eq_coe_nat MvPolynomial.C_eq_coe_natₓ'. -/
 theorem C_eq_coe_nat (n : ℕ) : (C ↑n : MvPolynomial σ R) = n := by
   induction n <;> simp [Nat.succ_eq_add_one, *]
 #align mv_polynomial.C_eq_coe_nat MvPolynomial.C_eq_coe_nat
 
-/- warning: mv_polynomial.C_mul' -> MvPolynomial.C_mul' is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {σ : Type.{u2}} {a : R} [_inst_1 : CommSemiring.{u1} R] {p : MvPolynomial.{u2, u1} σ R _inst_1}, Eq.{succ (max u2 u1)} (MvPolynomial.{u2, u1} σ R _inst_1) (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Distrib.toHasMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (fun (_x : RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (MvPolynomial.C.{u1, u2} R σ _inst_1) a) p) (SMul.smul.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (SMulZeroClass.toHasSmul.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (MulZeroClass.toHasZero.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toMulZeroClass.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))))) (MvPolynomial.smulZeroClass.{u1, u1, u2} R R σ _inst_1 (SMulWithZero.toSmulZeroClass.{u1, u1} R R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (MulZeroClass.toSMulWithZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))))) a p)
-but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} {a : R} [_inst_1 : CommSemiring.{u2} R] {p : MvPolynomial.{u1, u2} σ R _inst_1}, Eq.{max (succ u2) (succ u1)} (MvPolynomial.{u1, u2} σ R _inst_1) (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (instHMul.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (Semiring.toNonAssocSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (CommSemiring.toSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) a) p) (HSMul.hSMul.{u2, max u2 u1, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (instHSMul.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Algebra.toSMul.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) a p)
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.C_mul' MvPolynomial.C_mul'ₓ'. -/
 theorem C_mul' : MvPolynomial.C a * p = a • p :=
   (Algebra.smul_def a p).symm
 #align mv_polynomial.C_mul' MvPolynomial.C_mul'
 
-/- warning: mv_polynomial.smul_eq_C_mul -> MvPolynomial.smul_eq_C_mul is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] (p : MvPolynomial.{u2, u1} σ R _inst_1) (a : R), Eq.{succ (max u2 u1)} (MvPolynomial.{u2, u1} σ R _inst_1) (SMul.smul.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (SMulZeroClass.toHasSmul.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (MulZeroClass.toHasZero.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toMulZeroClass.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))))) (MvPolynomial.smulZeroClass.{u1, u1, u2} R R σ _inst_1 (SMulWithZero.toSmulZeroClass.{u1, u1} R R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (MulZeroClass.toSMulWithZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))))) a p) (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Distrib.toHasMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (fun (_x : RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (MvPolynomial.C.{u1, u2} R σ _inst_1) a) p)
-but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] (p : MvPolynomial.{u1, u2} σ R _inst_1) (a : R), Eq.{max (succ u2) (succ u1)} (MvPolynomial.{u1, u2} σ R _inst_1) (HSMul.hSMul.{u2, max u2 u1, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (instHSMul.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Algebra.toSMul.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) a p) (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (instHMul.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (Semiring.toNonAssocSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (CommSemiring.toSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) a) p)
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.smul_eq_C_mul MvPolynomial.smul_eq_C_mulₓ'. -/
 theorem smul_eq_C_mul (p : MvPolynomial σ R) (a : R) : a • p = C a * p :=
   C_mul'.symm
 #align mv_polynomial.smul_eq_C_mul MvPolynomial.smul_eq_C_mul
 
-/- warning: mv_polynomial.C_eq_smul_one -> MvPolynomial.C_eq_smul_one is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {σ : Type.{u2}} {a : R} [_inst_1 : CommSemiring.{u1} R], Eq.{max (succ u2) (succ u1)} (MvPolynomial.{u2, u1} σ R _inst_1) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (fun (_x : RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (MvPolynomial.C.{u1, u2} R σ _inst_1) a) (SMul.smul.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (SMulZeroClass.toHasSmul.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (MulZeroClass.toHasZero.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toMulZeroClass.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))))) (MvPolynomial.smulZeroClass.{u1, u1, u2} R R σ _inst_1 (SMulWithZero.toSmulZeroClass.{u1, u1} R R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (MulZeroClass.toSMulWithZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))))) a (OfNat.ofNat.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) 1 (OfNat.mk.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) 1 (One.one.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (AddMonoidWithOne.toOne.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (AddCommMonoidWithOne.toAddMonoidWithOne.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toAddCommMonoidWithOne.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))))))
-but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} {a : R} [_inst_1 : CommSemiring.{u2} R], Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) a) (HSMul.hSMul.{u2, max u2 u1, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (instHSMul.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Algebra.toSMul.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) a (OfNat.ofNat.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) 1 (One.toOfNat1.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toOne.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.C_eq_smul_one MvPolynomial.C_eq_smul_oneₓ'. -/
 theorem C_eq_smul_one : (C a : MvPolynomial σ R) = a • 1 := by rw [← C_mul', mul_one]
 #align mv_polynomial.C_eq_smul_one MvPolynomial.C_eq_smul_one
 
-/- warning: mv_polynomial.smul_monomial -> MvPolynomial.smul_monomial is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.smul_monomial MvPolynomial.smul_monomialₓ'. -/
 theorem smul_monomial {S₁ : Type _} [SMulZeroClass S₁ R] (r : S₁) :
     r • monomial s a = monomial s (r • a) :=
   Finsupp.smul_single _ _ _
 #align mv_polynomial.smul_monomial MvPolynomial.smul_monomial
 
-/- warning: mv_polynomial.X_injective -> MvPolynomial.X_injective is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_3 : Nontrivial.{u1} R], Function.Injective.{succ u2, max (succ u2) (succ u1)} σ (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.X.{u1, u2} R σ _inst_1)
-but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_3 : Nontrivial.{u2} R], Function.Injective.{succ u1, max (succ u2) (succ u1)} σ (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.X.{u2, u1} R σ _inst_1)
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.X_injective MvPolynomial.X_injectiveₓ'. -/
 theorem X_injective [Nontrivial R] : Function.Injective (X : σ → MvPolynomial σ R) :=
   (monomial_left_injective one_ne_zero).comp (Finsupp.single_left_injective one_ne_zero)
 #align mv_polynomial.X_injective MvPolynomial.X_injective
 
-/- warning: mv_polynomial.X_inj -> MvPolynomial.X_inj is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_3 : Nontrivial.{u1} R] (m : σ) (n : σ), Iff (Eq.{max (succ u2) (succ u1)} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.X.{u1, u2} R σ _inst_1 m) (MvPolynomial.X.{u1, u2} R σ _inst_1 n)) (Eq.{succ u2} σ m n)
-but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_3 : Nontrivial.{u2} R] (m : σ) (n : σ), Iff (Eq.{max (succ u2) (succ u1)} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.X.{u2, u1} R σ _inst_1 m) (MvPolynomial.X.{u2, u1} R σ _inst_1 n)) (Eq.{succ u1} σ m n)
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.X_inj MvPolynomial.X_injₓ'. -/
 @[simp]
 theorem X_inj [Nontrivial R] (m n : σ) : X m = (X n : MvPolynomial σ R) ↔ m = n :=
   X_injective.eq_iff
 #align mv_polynomial.X_inj MvPolynomial.X_inj
 
-/- warning: mv_polynomial.monomial_pow -> MvPolynomial.monomial_pow is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.monomial_pow MvPolynomial.monomial_powₓ'. -/
 theorem monomial_pow : monomial s a ^ e = monomial (e • s) (a ^ e) :=
   AddMonoidAlgebra.single_pow e
 #align mv_polynomial.monomial_pow MvPolynomial.monomial_pow
 
-/- warning: mv_polynomial.monomial_mul -> MvPolynomial.monomial_mul is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.monomial_mul MvPolynomial.monomial_mulₓ'. -/
 @[simp]
 theorem monomial_mul {s s' : σ →₀ ℕ} {a b : R} :
     monomial s a * monomial s' b = monomial (s + s') (a * b) :=
@@ -445,147 +325,81 @@ def monomialOneHom : Multiplicative (σ →₀ ℕ) →* MvPolynomial σ R :=
 
 variable {σ R}
 
-/- warning: mv_polynomial.monomial_one_hom_apply -> MvPolynomial.monomialOneHom_apply is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.monomial_one_hom_apply MvPolynomial.monomialOneHom_applyₓ'. -/
 @[simp]
 theorem monomialOneHom_apply : monomialOneHom R σ s = (monomial s 1 : MvPolynomial σ R) :=
   rfl
 #align mv_polynomial.monomial_one_hom_apply MvPolynomial.monomialOneHom_apply
 
-/- warning: mv_polynomial.X_pow_eq_monomial -> MvPolynomial.X_pow_eq_monomial is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {σ : Type.{u2}} {e : Nat} {n : σ} [_inst_1 : CommSemiring.{u1} R], Eq.{succ (max u2 u1)} (MvPolynomial.{u2, u1} σ R _inst_1) (HPow.hPow.{max u2 u1, 0, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) Nat (MvPolynomial.{u2, u1} σ R _inst_1) (instHPow.{max u2 u1, 0} (MvPolynomial.{u2, u1} σ R _inst_1) Nat (Monoid.Pow.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MonoidWithZero.toMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toMonoidWithZero.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))))) (MvPolynomial.X.{u1, u2} R σ _inst_1 n) e) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 (Finsupp.single.{u2, 0} σ Nat Nat.hasZero n e)) (OfNat.ofNat.{u1} R 1 (OfNat.mk.{u1} R 1 (One.one.{u1} R (AddMonoidWithOne.toOne.{u1} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} R (NonAssocSemiring.toAddCommMonoidWithOne.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))))))
-but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} {e : Nat} {n : σ} [_inst_1 : CommSemiring.{u2} R], Eq.{max (succ u2) (succ u1)} (MvPolynomial.{u1, u2} σ R _inst_1) (HPow.hPow.{max u1 u2, 0, max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) Nat (MvPolynomial.{u1, u2} σ R _inst_1) (instHPow.{max u1 u2, 0} (MvPolynomial.{u1, u2} σ R _inst_1) Nat (Monoid.Pow.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MonoidWithZero.toMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toMonoidWithZero.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (MvPolynomial.X.{u2, u1} R σ _inst_1 n) e) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 (Finsupp.single.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) n e)) (OfNat.ofNat.{u2} R 1 (One.toOfNat1.{u2} R (Semiring.toOne.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))))
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.X_pow_eq_monomial MvPolynomial.X_pow_eq_monomialₓ'. -/
 theorem X_pow_eq_monomial : X n ^ e = monomial (single n e) (1 : R) := by simp [X, monomial_pow]
 #align mv_polynomial.X_pow_eq_monomial MvPolynomial.X_pow_eq_monomial
 
-/- warning: mv_polynomial.monomial_add_single -> MvPolynomial.monomial_add_single is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.monomial_add_single MvPolynomial.monomial_add_singleₓ'. -/
 theorem monomial_add_single : monomial (s + single n e) a = monomial s a * X n ^ e := by
   rw [X_pow_eq_monomial, monomial_mul, mul_one]
 #align mv_polynomial.monomial_add_single MvPolynomial.monomial_add_single
 
-/- warning: mv_polynomial.monomial_single_add -> MvPolynomial.monomial_single_add is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.monomial_single_add MvPolynomial.monomial_single_addₓ'. -/
 theorem monomial_single_add : monomial (single n e + s) a = X n ^ e * monomial s a := by
   rw [X_pow_eq_monomial, monomial_mul, one_mul]
 #align mv_polynomial.monomial_single_add MvPolynomial.monomial_single_add
 
-/- warning: mv_polynomial.C_mul_X_pow_eq_monomial -> MvPolynomial.C_mul_X_pow_eq_monomial is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.C_mul_X_pow_eq_monomial MvPolynomial.C_mul_X_pow_eq_monomialₓ'. -/
 theorem C_mul_X_pow_eq_monomial {s : σ} {a : R} {n : ℕ} : C a * X s ^ n = monomial (single s n) a :=
   by rw [← zero_add (single s n), monomial_add_single, C_apply]
 #align mv_polynomial.C_mul_X_pow_eq_monomial MvPolynomial.C_mul_X_pow_eq_monomial
 
-/- warning: mv_polynomial.C_mul_X_eq_monomial -> MvPolynomial.C_mul_X_eq_monomial is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.C_mul_X_eq_monomial MvPolynomial.C_mul_X_eq_monomialₓ'. -/
 theorem C_mul_X_eq_monomial {s : σ} {a : R} : C a * X s = monomial (single s 1) a := by
   rw [← C_mul_X_pow_eq_monomial, pow_one]
 #align mv_polynomial.C_mul_X_eq_monomial MvPolynomial.C_mul_X_eq_monomial
 
-/- warning: mv_polynomial.monomial_zero -> MvPolynomial.monomial_zero is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {s : Finsupp.{u2, 0} σ Nat Nat.hasZero}, Eq.{max (succ u2) (succ u1)} (MvPolynomial.{u2, u1} σ R _inst_1) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 s) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))))))) (OfNat.ofNat.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) 0 (OfNat.mk.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) 0 (Zero.zero.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MulZeroClass.toHasZero.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toMulZeroClass.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))))))))
-but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] {s : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)}, Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))))) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))))) (OfNat.ofNat.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))))) 0 (Zero.toOfNat0.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))))) (CommMonoidWithZero.toZero.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))))) (CommSemiring.toCommMonoidWithZero.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))))) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.monomial_zero MvPolynomial.monomial_zeroₓ'. -/
 @[simp]
 theorem monomial_zero {s : σ →₀ ℕ} : monomial s (0 : R) = 0 :=
   single_zero _
 #align mv_polynomial.monomial_zero MvPolynomial.monomial_zero
 
-/- warning: mv_polynomial.monomial_zero' -> MvPolynomial.monomial_zero' is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.monomial_zero' MvPolynomial.monomial_zero'ₓ'. -/
 @[simp]
 theorem monomial_zero' : (monomial (0 : σ →₀ ℕ) : R → MvPolynomial σ R) = C :=
   rfl
 #align mv_polynomial.monomial_zero' MvPolynomial.monomial_zero'
 
-/- warning: mv_polynomial.monomial_eq_zero -> MvPolynomial.monomial_eq_zero is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {s : Finsupp.{u2, 0} σ Nat Nat.hasZero} {b : R}, Iff (Eq.{max (succ u2) (succ u1)} (MvPolynomial.{u2, u1} σ R _inst_1) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 s) b) (OfNat.ofNat.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) 0 (OfNat.mk.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) 0 (Zero.zero.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MulZeroClass.toHasZero.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toMulZeroClass.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))))))))) (Eq.{succ u1} R b (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))))))
-but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] {s : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)} {b : R}, Iff (Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) b) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s) b) (OfNat.ofNat.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) b) 0 (Zero.toOfNat0.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) b) (CommMonoidWithZero.toZero.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) b) (CommSemiring.toCommMonoidWithZero.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) b) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (Eq.{succ u2} R b (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1)))))
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.monomial_eq_zero MvPolynomial.monomial_eq_zeroₓ'. -/
 @[simp]
 theorem monomial_eq_zero {s : σ →₀ ℕ} {b : R} : monomial s b = 0 ↔ b = 0 :=
   Finsupp.single_eq_zero
 #align mv_polynomial.monomial_eq_zero MvPolynomial.monomial_eq_zero
 
-/- warning: mv_polynomial.sum_monomial_eq -> MvPolynomial.sum_monomial_eq is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {A : Type.{u3}} [_inst_3 : AddCommMonoid.{u3} A] {u : Finsupp.{u2, 0} σ Nat Nat.hasZero} {r : R} {b : (Finsupp.{u2, 0} σ Nat Nat.hasZero) -> R -> A}, (Eq.{succ u3} A (b u (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))))))) (OfNat.ofNat.{u3} A 0 (OfNat.mk.{u3} A 0 (Zero.zero.{u3} A (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A _inst_3))))))) -> (Eq.{succ u3} A (Finsupp.sum.{u2, u1, u3} (Finsupp.{u2, 0} σ Nat Nat.hasZero) R A (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) _inst_3 (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 u) r) b) (b u r))
-but is expected to have type
-  forall {R : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u3} R] {A : Type.{u2}} [_inst_3 : AddCommMonoid.{u2} A] {u : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)} {r : R} {b : (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) -> R -> A}, (Eq.{succ u2} A (b u (OfNat.ofNat.{u3} R 0 (Zero.toOfNat0.{u3} R (CommMonoidWithZero.toZero.{u3} R (CommSemiring.toCommMonoidWithZero.{u3} R _inst_1))))) (OfNat.ofNat.{u2} A 0 (Zero.toOfNat0.{u2} A (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A _inst_3))))) -> (Eq.{succ u2} A (Finsupp.sum.{u1, u3, u2} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R A (MonoidWithZero.toZero.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) _inst_3 (FunLike.coe.{max (succ u1) (succ u3), succ u3, max (succ u1) (succ u3)} (LinearMap.{u3, u3, u3, max u3 u1} R R (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) R (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (MvPolynomial.module.{u3, u3, u1} R R σ (CommSemiring.toSemiring.{u3} R _inst_1) _inst_1 (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u3} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u3, u3, u3, max u1 u3} R R R (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (MvPolynomial.module.{u3, u3, u1} R R σ (CommSemiring.toSemiring.{u3} R _inst_1) _inst_1 (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (MvPolynomial.monomial.{u3, u1} R σ _inst_1 u) r) b) (b u r))
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.sum_monomial_eq MvPolynomial.sum_monomial_eqₓ'. -/
 @[simp]
 theorem sum_monomial_eq {A : Type _} [AddCommMonoid A] {u : σ →₀ ℕ} {r : R} {b : (σ →₀ ℕ) → R → A}
     (w : b u 0 = 0) : Sum (monomial u r) b = b u r :=
   sum_single_index w
 #align mv_polynomial.sum_monomial_eq MvPolynomial.sum_monomial_eq
 
-/- warning: mv_polynomial.sum_C -> MvPolynomial.sum_C is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {σ : Type.{u2}} {a : R} [_inst_1 : CommSemiring.{u1} R] {A : Type.{u3}} [_inst_3 : AddCommMonoid.{u3} A] {b : (Finsupp.{u2, 0} σ Nat Nat.hasZero) -> R -> A}, (Eq.{succ u3} A (b (OfNat.ofNat.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) 0 (OfNat.mk.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) 0 (Zero.zero.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.zero.{u2, 0} σ Nat Nat.hasZero)))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))))))) (OfNat.ofNat.{u3} A 0 (OfNat.mk.{u3} A 0 (Zero.zero.{u3} A (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A _inst_3))))))) -> (Eq.{succ u3} A (Finsupp.sum.{u2, u1, u3} (Finsupp.{u2, 0} σ Nat Nat.hasZero) R A (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) _inst_3 (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (fun (_x : RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (MvPolynomial.C.{u1, u2} R σ _inst_1) a) b) (b (OfNat.ofNat.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) 0 (OfNat.mk.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) 0 (Zero.zero.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.zero.{u2, 0} σ Nat Nat.hasZero)))) a))
-but is expected to have type
-  forall {R : Type.{u3}} {σ : Type.{u1}} {a : R} [_inst_1 : CommSemiring.{u3} R] {A : Type.{u2}} [_inst_3 : AddCommMonoid.{u2} A] {b : (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) -> R -> A}, (Eq.{succ u2} A (b (OfNat.ofNat.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) 0 (Zero.toOfNat0.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.zero.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)))) (OfNat.ofNat.{u3} R 0 (Zero.toOfNat0.{u3} R (CommMonoidWithZero.toZero.{u3} R (CommSemiring.toCommMonoidWithZero.{u3} R _inst_1))))) (OfNat.ofNat.{u2} A 0 (Zero.toOfNat0.{u2} A (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A _inst_3))))) -> (Eq.{succ u2} A (Finsupp.sum.{u1, u3, u2} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R A (MonoidWithZero.toZero.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) _inst_3 (FunLike.coe.{max (succ u1) (succ u3), succ u3, max (succ u1) (succ u3)} (RingHom.{u3, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u3} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u3, u3, max u1 u3} (RingHom.{u3, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u3, u3, max u1 u3} (RingHom.{u3, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u3, u3, max u1 u3} (RingHom.{u3, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))))) (MvPolynomial.C.{u3, u1} R σ _inst_1) a) b) (b (OfNat.ofNat.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) 0 (Zero.toOfNat0.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.zero.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)))) a))
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.sum_C MvPolynomial.sum_Cₓ'. -/
 @[simp]
 theorem sum_C {A : Type _} [AddCommMonoid A] {b : (σ →₀ ℕ) → R → A} (w : b 0 0 = 0) :
     Sum (C a) b = b 0 a :=
   sum_monomial_eq w
 #align mv_polynomial.sum_C MvPolynomial.sum_C
 
-/- warning: mv_polynomial.monomial_sum_one -> MvPolynomial.monomial_sum_one is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.monomial_sum_one MvPolynomial.monomial_sum_oneₓ'. -/
 theorem monomial_sum_one {α : Type _} (s : Finset α) (f : α → σ →₀ ℕ) :
     (monomial (∑ i in s, f i) 1 : MvPolynomial σ R) = ∏ i in s, monomial (f i) 1 :=
   (monomialOneHom R σ).map_prod (fun i => Multiplicative.ofAdd (f i)) s
 #align mv_polynomial.monomial_sum_one MvPolynomial.monomial_sum_one
 
-/- warning: mv_polynomial.monomial_sum_index -> MvPolynomial.monomial_sum_index is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.monomial_sum_index MvPolynomial.monomial_sum_indexₓ'. -/
 theorem monomial_sum_index {α : Type _} (s : Finset α) (f : α → σ →₀ ℕ) (a : R) :
     monomial (∑ i in s, f i) a = C a * ∏ i in s, monomial (f i) 1 := by
   rw [← monomial_sum_one, C_mul', ← (monomial _).map_smul, smul_eq_mul, mul_one]
 #align mv_polynomial.monomial_sum_index MvPolynomial.monomial_sum_index
 
-/- warning: mv_polynomial.monomial_finsupp_sum_index -> MvPolynomial.monomial_finsupp_sum_index is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.monomial_finsupp_sum_index MvPolynomial.monomial_finsupp_sum_indexₓ'. -/
 theorem monomial_finsupp_sum_index {α β : Type _} [Zero β] (f : α →₀ β) (g : α → β → σ →₀ ℕ)
     (a : R) : monomial (f.Sum g) a = C a * f.Prod fun a b => monomial (g a b) 1 :=
   monomial_sum_index _ _ _
 #align mv_polynomial.monomial_finsupp_sum_index MvPolynomial.monomial_finsupp_sum_index
 
-/- warning: mv_polynomial.monomial_eq_monomial_iff -> MvPolynomial.monomial_eq_monomial_iff is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.monomial_eq_monomial_iff MvPolynomial.monomial_eq_monomial_iffₓ'. -/
 theorem monomial_eq_monomial_iff {α : Type _} (a₁ a₂ : α →₀ ℕ) (b₁ b₂ : R) :
     monomial a₁ b₁ = monomial a₂ b₂ ↔ a₁ = a₂ ∧ b₁ = b₂ ∨ b₁ = 0 ∧ b₂ = 0 :=
   Finsupp.single_eq_single_iff _ _ _ _
 #align mv_polynomial.monomial_eq_monomial_iff MvPolynomial.monomial_eq_monomial_iff
 
-/- warning: mv_polynomial.monomial_eq -> MvPolynomial.monomial_eq is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.monomial_eq MvPolynomial.monomial_eqₓ'. -/
 theorem monomial_eq : monomial s a = C a * (s.Prod fun n e => X n ^ e : MvPolynomial σ R) := by
   simp only [X_pow_eq_monomial, ← monomial_finsupp_sum_index, Finsupp.sum_single]
 #align mv_polynomial.monomial_eq MvPolynomial.monomial_eq
 
-/- warning: mv_polynomial.induction_on_monomial -> MvPolynomial.induction_on_monomial is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.induction_on_monomial MvPolynomial.induction_on_monomialₓ'. -/
 theorem induction_on_monomial {M : MvPolynomial σ R → Prop} (h_C : ∀ a, M (C a))
     (h_X : ∀ p n, M p → M (p * X n)) : ∀ s a, M (monomial s a) :=
   by
@@ -602,12 +416,6 @@ theorem induction_on_monomial {M : MvPolynomial σ R → Prop} (h_C : ∀ a, M (
     simp [add_comm, monomial_add_single, this]
 #align mv_polynomial.induction_on_monomial MvPolynomial.induction_on_monomial
 
-/- warning: mv_polynomial.induction_on' -> MvPolynomial.induction_on' is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {P : (MvPolynomial.{u2, u1} σ R _inst_1) -> Prop} (p : MvPolynomial.{u2, u1} σ R _inst_1), (forall (u : Finsupp.{u2, 0} σ Nat Nat.hasZero) (a : R), P (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 u) a)) -> (forall (p : MvPolynomial.{u2, u1} σ R _inst_1) (q : MvPolynomial.{u2, u1} σ R _inst_1), (P p) -> (P q) -> (P (HAdd.hAdd.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (instHAdd.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Distrib.toHasAdd.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))) p q))) -> (P p)
-but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] {P : (MvPolynomial.{u1, u2} σ R _inst_1) -> Prop} (p : MvPolynomial.{u1, u2} σ R _inst_1), (forall (u : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (a : R), P (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 u) a)) -> (forall (p : MvPolynomial.{u1, u2} σ R _inst_1) (q : MvPolynomial.{u1, u2} σ R _inst_1), (P p) -> (P q) -> (P (HAdd.hAdd.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (instHAdd.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Distrib.toAdd.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) p q))) -> (P p)
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.induction_on' MvPolynomial.induction_on'ₓ'. -/
 /-- Analog of `polynomial.induction_on'`.
 To prove something about mv_polynomials,
 it suffices to show the condition is closed under taking sums,
@@ -622,9 +430,6 @@ theorem induction_on' {P : MvPolynomial σ R → Prop} (p : MvPolynomial σ R)
     fun a b f ha hb hPf => h2 _ _ (h1 _ _) hPf
 #align mv_polynomial.induction_on' MvPolynomial.induction_on'
 
-/- warning: mv_polynomial.induction_on''' -> MvPolynomial.induction_on''' is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.induction_on''' MvPolynomial.induction_on'''ₓ'. -/
 /-- Similar to `mv_polynomial.induction_on` but only a weak form of `h_add` is required.-/
 theorem induction_on''' {M : MvPolynomial σ R → Prop} (p : MvPolynomial σ R) (h_C : ∀ a, M (C a))
     (h_add_weak :
@@ -634,9 +439,6 @@ theorem induction_on''' {M : MvPolynomial σ R → Prop} (p : MvPolynomial σ R)
   Finsupp.induction p (C_0.rec <| h_C 0) h_add_weak
 #align mv_polynomial.induction_on''' MvPolynomial.induction_on'''
 
-/- warning: mv_polynomial.induction_on'' -> MvPolynomial.induction_on'' is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.induction_on'' MvPolynomial.induction_on''ₓ'. -/
 /-- Similar to `mv_polynomial.induction_on` but only a yet weaker form of `h_add` is required.-/
 theorem induction_on'' {M : MvPolynomial σ R → Prop} (p : MvPolynomial σ R) (h_C : ∀ a, M (C a))
     (h_add_weak :
@@ -647,12 +449,6 @@ theorem induction_on'' {M : MvPolynomial σ R → Prop} (p : MvPolynomial σ R)
     h_add_weak a b f ha hb hf <| induction_on_monomial h_C h_X a b
 #align mv_polynomial.induction_on'' MvPolynomial.induction_on''
 
-/- warning: mv_polynomial.induction_on -> MvPolynomial.induction_on is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {M : (MvPolynomial.{u2, u1} σ R _inst_1) -> Prop} (p : MvPolynomial.{u2, u1} σ R _inst_1), (forall (a : R), M (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (fun (_x : RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (MvPolynomial.C.{u1, u2} R σ _inst_1) a)) -> (forall (p : MvPolynomial.{u2, u1} σ R _inst_1) (q : MvPolynomial.{u2, u1} σ R _inst_1), (M p) -> (M q) -> (M (HAdd.hAdd.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (instHAdd.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Distrib.toHasAdd.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))) p q))) -> (forall (p : MvPolynomial.{u2, u1} σ R _inst_1) (n : σ), (M p) -> (M (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Distrib.toHasMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))) p (MvPolynomial.X.{u1, u2} R σ _inst_1 n)))) -> (M p)
-but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] {M : (MvPolynomial.{u1, u2} σ R _inst_1) -> Prop} (p : MvPolynomial.{u1, u2} σ R _inst_1), (forall (a : R), M (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) a)) -> (forall (p : MvPolynomial.{u1, u2} σ R _inst_1) (q : MvPolynomial.{u1, u2} σ R _inst_1), (M p) -> (M q) -> (M (HAdd.hAdd.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (instHAdd.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Distrib.toAdd.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) p q))) -> (forall (p : MvPolynomial.{u1, u2} σ R _inst_1) (n : σ), (M p) -> (M (HMul.hMul.{max u2 u1, max u1 u2, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) p (MvPolynomial.X.{u2, u1} R σ _inst_1 n)))) -> (M p)
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.induction_on MvPolynomial.induction_onₓ'. -/
 /-- Analog of `polynomial.induction_on`.-/
 @[recursor 5]
 theorem induction_on {M : MvPolynomial σ R → Prop} (p : MvPolynomial σ R) (h_C : ∀ a, M (C a))
@@ -660,17 +456,11 @@ theorem induction_on {M : MvPolynomial σ R → Prop} (p : MvPolynomial σ R) (h
   induction_on'' p h_C (fun a b f ha hb hf hm => h_add (monomial a b) f hm hf) h_X
 #align mv_polynomial.induction_on MvPolynomial.induction_on
 
-/- warning: mv_polynomial.ring_hom_ext -> MvPolynomial.ringHom_ext is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.ring_hom_ext MvPolynomial.ringHom_extₓ'. -/
 theorem ringHom_ext {A : Type _} [Semiring A] {f g : MvPolynomial σ R →+* A}
     (hC : ∀ r, f (C r) = g (C r)) (hX : ∀ i, f (X i) = g (X i)) : f = g := by ext;
   exacts[hC _, hX _]
 #align mv_polynomial.ring_hom_ext MvPolynomial.ringHom_ext
 
-/- warning: mv_polynomial.ring_hom_ext' -> MvPolynomial.ringHom_ext' is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.ring_hom_ext' MvPolynomial.ringHom_ext'ₓ'. -/
 /-- See note [partially-applied ext lemmas]. -/
 @[ext]
 theorem ringHom_ext' {A : Type _} [Semiring A] {f g : MvPolynomial σ R →+* A}
@@ -678,25 +468,16 @@ theorem ringHom_ext' {A : Type _} [Semiring A] {f g : MvPolynomial σ R →+* A}
   ringHom_ext (RingHom.ext_iff.1 hC) hX
 #align mv_polynomial.ring_hom_ext' MvPolynomial.ringHom_ext'
 
-/- warning: mv_polynomial.hom_eq_hom -> MvPolynomial.hom_eq_hom is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.hom_eq_hom MvPolynomial.hom_eq_homₓ'. -/
 theorem hom_eq_hom [Semiring S₂] (f g : MvPolynomial σ R →+* S₂) (hC : f.comp C = g.comp C)
     (hX : ∀ n : σ, f (X n) = g (X n)) (p : MvPolynomial σ R) : f p = g p :=
   RingHom.congr_fun (ringHom_ext' hC hX) p
 #align mv_polynomial.hom_eq_hom MvPolynomial.hom_eq_hom
 
-/- warning: mv_polynomial.is_id -> MvPolynomial.is_id is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.is_id MvPolynomial.is_idₓ'. -/
 theorem is_id (f : MvPolynomial σ R →+* MvPolynomial σ R) (hC : f.comp C = C)
     (hX : ∀ n : σ, f (X n) = X n) (p : MvPolynomial σ R) : f p = p :=
   hom_eq_hom f (RingHom.id _) hC hX p
 #align mv_polynomial.is_id MvPolynomial.is_id
 
-/- warning: mv_polynomial.alg_hom_ext' -> MvPolynomial.algHom_ext' is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.alg_hom_ext' MvPolynomial.algHom_ext'ₓ'. -/
 @[ext]
 theorem algHom_ext' {A B : Type _} [CommSemiring A] [CommSemiring B] [Algebra R A] [Algebra R B]
     {f g : MvPolynomial σ A →ₐ[R] B}
@@ -707,29 +488,17 @@ theorem algHom_ext' {A B : Type _} [CommSemiring A] [CommSemiring B] [Algebra R
   AlgHom.coe_ringHom_injective (MvPolynomial.ringHom_ext' (congr_arg AlgHom.toRingHom h₁) h₂)
 #align mv_polynomial.alg_hom_ext' MvPolynomial.algHom_ext'
 
-/- warning: mv_polynomial.alg_hom_ext -> MvPolynomial.algHom_ext is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.alg_hom_ext MvPolynomial.algHom_extₓ'. -/
 @[ext]
 theorem algHom_ext {A : Type _} [Semiring A] [Algebra R A] {f g : MvPolynomial σ R →ₐ[R] A}
     (hf : ∀ i : σ, f (X i) = g (X i)) : f = g :=
   AddMonoidAlgebra.algHom_ext' (mulHom_ext' fun x : σ => MonoidHom.ext_mnat (hf x))
 #align mv_polynomial.alg_hom_ext MvPolynomial.algHom_ext
 
-/- warning: mv_polynomial.alg_hom_C -> MvPolynomial.algHom_C is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.alg_hom_C MvPolynomial.algHom_Cₓ'. -/
 @[simp]
 theorem algHom_C (f : MvPolynomial σ R →ₐ[R] MvPolynomial σ R) (r : R) : f (C r) = C r :=
   f.commutes r
 #align mv_polynomial.alg_hom_C MvPolynomial.algHom_C
 
-/- warning: mv_polynomial.adjoin_range_X -> MvPolynomial.adjoin_range_X is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R], Eq.{succ (max u2 u1)} (Subalgebra.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1))) (Algebra.adjoin.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) (Set.range.{max u2 u1, succ u2} (MvPolynomial.{u2, u1} σ R _inst_1) σ (MvPolynomial.X.{u1, u2} R σ _inst_1))) (Top.top.{max u2 u1} (Subalgebra.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1))) (CompleteLattice.toHasTop.{max u2 u1} (Subalgebra.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1))) (Algebra.Subalgebra.completeLattice.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)))))
-but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R], Eq.{max (succ u2) (succ u1)} (Subalgebra.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) (Algebra.adjoin.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (Set.range.{max u2 u1, succ u1} (MvPolynomial.{u1, u2} σ R _inst_1) σ (MvPolynomial.X.{u2, u1} R σ _inst_1))) (Top.top.{max u2 u1} (Subalgebra.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) (CompleteLattice.toTop.{max u2 u1} (Subalgebra.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) (Algebra.instCompleteLatticeSubalgebra.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))))
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.adjoin_range_X MvPolynomial.adjoin_range_Xₓ'. -/
 @[simp]
 theorem adjoin_range_X : Algebra.adjoin R (range (X : σ → MvPolynomial σ R)) = ⊤ :=
   by
@@ -741,9 +510,6 @@ theorem adjoin_range_X : Algebra.adjoin R (range (X : σ → MvPolynomial σ R))
   case h_X p i hp => exact S.mul_mem hp (Algebra.subset_adjoin <| mem_range_self _)
 #align mv_polynomial.adjoin_range_X MvPolynomial.adjoin_range_X
 
-/- warning: mv_polynomial.linear_map_ext -> MvPolynomial.linearMap_ext is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.linear_map_ext MvPolynomial.linearMap_extₓ'. -/
 @[ext]
 theorem linearMap_ext {M : Type _} [AddCommMonoid M] [Module R M] {f g : MvPolynomial σ R →ₗ[R] M}
     (h : ∀ s, f ∘ₗ monomial s = g ∘ₗ monomial s) : f = g :=
@@ -760,95 +526,41 @@ def support (p : MvPolynomial σ R) : Finset (σ →₀ ℕ) :=
 #align mv_polynomial.support MvPolynomial.support
 -/
 
-/- warning: mv_polynomial.finsupp_support_eq_support -> MvPolynomial.finsupp_support_eq_support is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] (p : MvPolynomial.{u2, u1} σ R _inst_1), Eq.{succ u2} (Finset.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (Finsupp.support.{u2, u1} (Finsupp.{u2, 0} σ Nat Nat.hasZero) R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) p) (MvPolynomial.support.{u1, u2} R σ _inst_1 p)
-but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] (p : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{succ u1} (Finset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (Finsupp.support.{u1, u2} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) p) (MvPolynomial.support.{u2, u1} R σ _inst_1 p)
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.finsupp_support_eq_support MvPolynomial.finsupp_support_eq_supportₓ'. -/
 theorem finsupp_support_eq_support (p : MvPolynomial σ R) : Finsupp.support p = p.support :=
   rfl
 #align mv_polynomial.finsupp_support_eq_support MvPolynomial.finsupp_support_eq_support
 
-/- warning: mv_polynomial.support_monomial -> MvPolynomial.support_monomial is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {σ : Type.{u2}} {a : R} {s : Finsupp.{u2, 0} σ Nat Nat.hasZero} [_inst_1 : CommSemiring.{u1} R] [_inst_3 : Decidable (Eq.{succ u1} R a (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))))))], Eq.{succ u2} (Finset.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (MvPolynomial.support.{u1, u2} R σ _inst_1 (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 s) a)) (ite.{succ u2} (Finset.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (Eq.{succ u1} R a (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))))))) _inst_3 (EmptyCollection.emptyCollection.{u2} (Finset.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (Finset.hasEmptyc.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero))) (Singleton.singleton.{u2, u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finset.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (Finset.hasSingleton.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) s))
-but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} {a : R} {s : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)} [_inst_1 : CommSemiring.{u2} R] [_inst_3 : Decidable (Eq.{succ u2} R a (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1)))))], Eq.{succ u1} (Finset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (MvPolynomial.support.{u2, u1} R σ _inst_1 (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s) a)) (ite.{succ u1} (Finset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (Eq.{succ u2} R a (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))))) _inst_3 (EmptyCollection.emptyCollection.{u1} (Finset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (Finset.instEmptyCollectionFinset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)))) (Singleton.singleton.{u1, u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (Finset.instSingletonFinset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) s))
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.support_monomial MvPolynomial.support_monomialₓ'. -/
 theorem support_monomial [Decidable (a = 0)] : (monomial s a).support = if a = 0 then ∅ else {s} :=
   by convert rfl
 #align mv_polynomial.support_monomial MvPolynomial.support_monomial
 
-/- warning: mv_polynomial.support_monomial_subset -> MvPolynomial.support_monomial_subset is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {σ : Type.{u2}} {a : R} {s : Finsupp.{u2, 0} σ Nat Nat.hasZero} [_inst_1 : CommSemiring.{u1} R], HasSubset.Subset.{u2} (Finset.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (Finset.hasSubset.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (MvPolynomial.support.{u1, u2} R σ _inst_1 (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 s) a)) (Singleton.singleton.{u2, u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finset.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (Finset.hasSingleton.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) s)
-but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} {a : R} {s : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)} [_inst_1 : CommSemiring.{u2} R], HasSubset.Subset.{u1} (Finset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (Finset.instHasSubsetFinset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (MvPolynomial.support.{u2, u1} R σ _inst_1 (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s) a)) (Singleton.singleton.{u1, u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (Finset.instSingletonFinset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) s)
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.support_monomial_subset MvPolynomial.support_monomial_subsetₓ'. -/
 theorem support_monomial_subset : (monomial s a).support ⊆ {s} :=
   support_single_subset
 #align mv_polynomial.support_monomial_subset MvPolynomial.support_monomial_subset
 
-/- warning: mv_polynomial.support_add -> MvPolynomial.support_add is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {p : MvPolynomial.{u2, u1} σ R _inst_1} {q : MvPolynomial.{u2, u1} σ R _inst_1} [_inst_3 : DecidableEq.{succ u2} σ], HasSubset.Subset.{u2} (Finset.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (Finset.hasSubset.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (MvPolynomial.support.{u1, u2} R σ _inst_1 (HAdd.hAdd.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (instHAdd.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Distrib.toHasAdd.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))) p q)) (Union.union.{u2} (Finset.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (Finset.hasUnion.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (fun (a : Finsupp.{u2, 0} σ Nat Nat.hasZero) (b : Finsupp.{u2, 0} σ Nat Nat.hasZero) => Finsupp.decidableEq.{u2, 0} σ Nat Nat.hasZero (fun (a : σ) (b : σ) => _inst_3 a b) (fun (a : Nat) (b : Nat) => Nat.decidableEq a b) a b)) (MvPolynomial.support.{u1, u2} R σ _inst_1 p) (MvPolynomial.support.{u1, u2} R σ _inst_1 q))
-but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] {p : MvPolynomial.{u1, u2} σ R _inst_1} {q : MvPolynomial.{u1, u2} σ R _inst_1} [_inst_3 : DecidableEq.{succ u1} σ], HasSubset.Subset.{u1} (Finset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (Finset.instHasSubsetFinset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (MvPolynomial.support.{u2, u1} R σ _inst_1 (HAdd.hAdd.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (instHAdd.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Distrib.toAdd.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) p q)) (Union.union.{u1} (Finset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (Finset.instUnionFinset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (fun (a : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (b : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => Finsupp.decidableEq.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) (fun (a : σ) (b : σ) => _inst_3 a b) (fun (a : Nat) (b : Nat) => instDecidableEqNat a b) a b)) (MvPolynomial.support.{u2, u1} R σ _inst_1 p) (MvPolynomial.support.{u2, u1} R σ _inst_1 q))
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.support_add MvPolynomial.support_addₓ'. -/
 theorem support_add [DecidableEq σ] : (p + q).support ⊆ p.support ∪ q.support :=
   Finsupp.support_add
 #align mv_polynomial.support_add MvPolynomial.support_add
 
-/- warning: mv_polynomial.support_X -> MvPolynomial.support_X is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {σ : Type.{u2}} {n : σ} [_inst_1 : CommSemiring.{u1} R] [_inst_3 : Nontrivial.{u1} R], Eq.{succ u2} (Finset.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (MvPolynomial.support.{u1, u2} R σ _inst_1 (MvPolynomial.X.{u1, u2} R σ _inst_1 n)) (Singleton.singleton.{u2, u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finset.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (Finset.hasSingleton.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (Finsupp.single.{u2, 0} σ Nat Nat.hasZero n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne)))))
-but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} {n : σ} [_inst_1 : CommSemiring.{u2} R] [_inst_3 : Nontrivial.{u2} R], Eq.{succ u1} (Finset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (MvPolynomial.support.{u2, u1} R σ _inst_1 (MvPolynomial.X.{u2, u1} R σ _inst_1 n)) (Singleton.singleton.{u1, u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (Finset.instSingletonFinset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (Finsupp.single.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.support_X MvPolynomial.support_Xₓ'. -/
 theorem support_X [Nontrivial R] : (X n : MvPolynomial σ R).support = {single n 1} := by
   classical rw [X, support_monomial, if_neg] <;> exact one_ne_zero
 #align mv_polynomial.support_X MvPolynomial.support_X
 
-/- warning: mv_polynomial.support_X_pow -> MvPolynomial.support_X_pow is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_3 : Nontrivial.{u1} R] (s : σ) (n : Nat), Eq.{succ u2} (Finset.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (MvPolynomial.support.{u1, u2} R σ _inst_1 (HPow.hPow.{max u2 u1, 0, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) Nat (MvPolynomial.{u2, u1} σ R _inst_1) (instHPow.{max u2 u1, 0} (MvPolynomial.{u2, u1} σ R _inst_1) Nat (Monoid.Pow.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MonoidWithZero.toMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toMonoidWithZero.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))))) (MvPolynomial.X.{u1, u2} R σ _inst_1 s) n)) (Singleton.singleton.{u2, u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finset.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (Finset.hasSingleton.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (Finsupp.single.{u2, 0} σ Nat Nat.hasZero s n))
-but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_3 : Nontrivial.{u2} R] (s : σ) (n : Nat), Eq.{succ u1} (Finset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (MvPolynomial.support.{u2, u1} R σ _inst_1 (HPow.hPow.{max u1 u2, 0, max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) Nat (MvPolynomial.{u1, u2} σ R _inst_1) (instHPow.{max u1 u2, 0} (MvPolynomial.{u1, u2} σ R _inst_1) Nat (Monoid.Pow.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MonoidWithZero.toMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toMonoidWithZero.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (MvPolynomial.X.{u2, u1} R σ _inst_1 s) n)) (Singleton.singleton.{u1, u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (Finset.instSingletonFinset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (Finsupp.single.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) s n))
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.support_X_pow MvPolynomial.support_X_powₓ'. -/
 theorem support_X_pow [Nontrivial R] (s : σ) (n : ℕ) :
     (X s ^ n : MvPolynomial σ R).support = {Finsupp.single s n} := by
   classical rw [X_pow_eq_monomial, support_monomial, if_neg (one_ne_zero' R)]
 #align mv_polynomial.support_X_pow MvPolynomial.support_X_pow
 
-/- warning: mv_polynomial.support_zero -> MvPolynomial.support_zero is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R], Eq.{succ u2} (Finset.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (MvPolynomial.support.{u1, u2} R σ _inst_1 (OfNat.ofNat.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) 0 (OfNat.mk.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) 0 (Zero.zero.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MulZeroClass.toHasZero.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toMulZeroClass.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))))))))) (EmptyCollection.emptyCollection.{u2} (Finset.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (Finset.hasEmptyc.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)))
-but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R], Eq.{succ u1} (Finset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (MvPolynomial.support.{u2, u1} R σ _inst_1 (OfNat.ofNat.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) 0 (Zero.toOfNat0.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommMonoidWithZero.toZero.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toCommMonoidWithZero.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (EmptyCollection.emptyCollection.{u1} (Finset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (Finset.instEmptyCollectionFinset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))))
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.support_zero MvPolynomial.support_zeroₓ'. -/
 @[simp]
 theorem support_zero : (0 : MvPolynomial σ R).support = ∅ :=
   rfl
 #align mv_polynomial.support_zero MvPolynomial.support_zero
 
-/- warning: mv_polynomial.support_smul -> MvPolynomial.support_smul is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {S₁ : Type.{u3}} [_inst_3 : SMulZeroClass.{u3, u1} S₁ R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))] {a : S₁} {f : MvPolynomial.{u2, u1} σ R _inst_1}, HasSubset.Subset.{u2} (Finset.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (Finset.hasSubset.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (MvPolynomial.support.{u1, u2} R σ _inst_1 (SMul.smul.{u3, max u2 u1} S₁ (MvPolynomial.{u2, u1} σ R _inst_1) (SMulZeroClass.toHasSmul.{u3, max u2 u1} S₁ (MvPolynomial.{u2, u1} σ R _inst_1) (MulZeroClass.toHasZero.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toMulZeroClass.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))))) (MvPolynomial.smulZeroClass.{u3, u1, u2} S₁ R σ _inst_1 _inst_3)) a f)) (MvPolynomial.support.{u1, u2} R σ _inst_1 f)
-but is expected to have type
-  forall {R : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u3} R] {S₁ : Type.{u2}} [_inst_3 : SMulZeroClass.{u2, u3} S₁ R (CommMonoidWithZero.toZero.{u3} R (CommSemiring.toCommMonoidWithZero.{u3} R _inst_1))] {a : S₁} {f : MvPolynomial.{u1, u3} σ R _inst_1}, HasSubset.Subset.{u1} (Finset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (Finset.instHasSubsetFinset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (MvPolynomial.support.{u3, u1} R σ _inst_1 (HSMul.hSMul.{u2, max u3 u1, max u3 u1} S₁ (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.{u1, u3} σ R _inst_1) (instHSMul.{u2, max u3 u1} S₁ (MvPolynomial.{u1, u3} σ R _inst_1) (SMulZeroClass.toSMul.{u2, max u3 u1} S₁ (MvPolynomial.{u1, u3} σ R _inst_1) (CommMonoidWithZero.toZero.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toCommMonoidWithZero.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (MvPolynomial.smulZeroClass.{u2, u3, u1} S₁ R σ _inst_1 _inst_3))) a f)) (MvPolynomial.support.{u3, u1} R σ _inst_1 f)
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.support_smul MvPolynomial.support_smulₓ'. -/
 theorem support_smul {S₁ : Type _} [SMulZeroClass S₁ R] {a : S₁} {f : MvPolynomial σ R} :
     (a • f).support ⊆ f.support :=
   Finsupp.support_smul
 #align mv_polynomial.support_smul MvPolynomial.support_smul
 
-/- warning: mv_polynomial.support_sum -> MvPolynomial.support_sum is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {α : Type.{u3}} [_inst_3 : DecidableEq.{succ u2} σ] {s : Finset.{u3} α} {f : α -> (MvPolynomial.{u2, u1} σ R _inst_1)}, HasSubset.Subset.{u2} (Finset.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (Finset.hasSubset.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (MvPolynomial.support.{u1, u2} R σ _inst_1 (Finset.sum.{max u2 u1, u3} (MvPolynomial.{u2, u1} σ R _inst_1) α (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) s (fun (x : α) => f x))) (Finset.biUnion.{u3, u2} α (Finsupp.{u2, 0} σ Nat Nat.hasZero) (fun (a : Finsupp.{u2, 0} σ Nat Nat.hasZero) (b : Finsupp.{u2, 0} σ Nat Nat.hasZero) => Finsupp.decidableEq.{u2, 0} σ Nat Nat.hasZero (fun (a : σ) (b : σ) => _inst_3 a b) (fun (a : Nat) (b : Nat) => Nat.decidableEq a b) a b) s (fun (x : α) => MvPolynomial.support.{u1, u2} R σ _inst_1 (f x)))
-but is expected to have type
-  forall {R : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u3} R] {α : Type.{u2}} [_inst_3 : DecidableEq.{succ u1} σ] {s : Finset.{u2} α} {f : α -> (MvPolynomial.{u1, u3} σ R _inst_1)}, HasSubset.Subset.{u1} (Finset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (Finset.instHasSubsetFinset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (MvPolynomial.support.{u3, u1} R σ _inst_1 (Finset.sum.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) α (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) s (fun (x : α) => f x))) (Finset.biUnion.{u2, u1} α (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (fun (a : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (b : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => Finsupp.decidableEq.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) (fun (a : σ) (b : σ) => _inst_3 a b) (fun (a : Nat) (b : Nat) => instDecidableEqNat a b) a b) s (fun (x : α) => MvPolynomial.support.{u3, u1} R σ _inst_1 (f x)))
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.support_sum MvPolynomial.support_sumₓ'. -/
 theorem support_sum {α : Type _} [DecidableEq σ] {s : Finset α} {f : α → MvPolynomial σ R} :
     (∑ x in s, f x).support ⊆ s.biUnion fun x => (f x).support :=
   Finsupp.support_finset_sum
@@ -865,109 +577,49 @@ def coeff (m : σ →₀ ℕ) (p : MvPolynomial σ R) : R :=
 #align mv_polynomial.coeff MvPolynomial.coeff
 -/
 
-/- warning: mv_polynomial.mem_support_iff -> MvPolynomial.mem_support_iff is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {p : MvPolynomial.{u2, u1} σ R _inst_1} {m : Finsupp.{u2, 0} σ Nat Nat.hasZero}, Iff (Membership.Mem.{u2, u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finset.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (Finset.hasMem.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) m (MvPolynomial.support.{u1, u2} R σ _inst_1 p)) (Ne.{succ u1} R (MvPolynomial.coeff.{u1, u2} R σ _inst_1 m p) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))))))
-but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] {p : MvPolynomial.{u1, u2} σ R _inst_1} {m : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)}, Iff (Membership.mem.{u1, u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (Finset.instMembershipFinset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) m (MvPolynomial.support.{u2, u1} R σ _inst_1 p)) (Ne.{succ u2} R (MvPolynomial.coeff.{u2, u1} R σ _inst_1 m p) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1)))))
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.mem_support_iff MvPolynomial.mem_support_iffₓ'. -/
 @[simp]
 theorem mem_support_iff {p : MvPolynomial σ R} {m : σ →₀ ℕ} : m ∈ p.support ↔ p.coeff m ≠ 0 := by
   simp [support, coeff]
 #align mv_polynomial.mem_support_iff MvPolynomial.mem_support_iff
 
-/- warning: mv_polynomial.not_mem_support_iff -> MvPolynomial.not_mem_support_iff is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {p : MvPolynomial.{u2, u1} σ R _inst_1} {m : Finsupp.{u2, 0} σ Nat Nat.hasZero}, Iff (Not (Membership.Mem.{u2, u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finset.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (Finset.hasMem.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) m (MvPolynomial.support.{u1, u2} R σ _inst_1 p))) (Eq.{succ u1} R (MvPolynomial.coeff.{u1, u2} R σ _inst_1 m p) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))))))
-but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] {p : MvPolynomial.{u1, u2} σ R _inst_1} {m : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)}, Iff (Not (Membership.mem.{u1, u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (Finset.instMembershipFinset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) m (MvPolynomial.support.{u2, u1} R σ _inst_1 p))) (Eq.{succ u2} R (MvPolynomial.coeff.{u2, u1} R σ _inst_1 m p) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1)))))
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.not_mem_support_iff MvPolynomial.not_mem_support_iffₓ'. -/
 theorem not_mem_support_iff {p : MvPolynomial σ R} {m : σ →₀ ℕ} : m ∉ p.support ↔ p.coeff m = 0 :=
   by simp
 #align mv_polynomial.not_mem_support_iff MvPolynomial.not_mem_support_iff
 
-/- warning: mv_polynomial.sum_def -> MvPolynomial.sum_def is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {A : Type.{u3}} [_inst_3 : AddCommMonoid.{u3} A] {p : MvPolynomial.{u2, u1} σ R _inst_1} {b : (Finsupp.{u2, 0} σ Nat Nat.hasZero) -> R -> A}, Eq.{succ u3} A (Finsupp.sum.{u2, u1, u3} (Finsupp.{u2, 0} σ Nat Nat.hasZero) R A (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) _inst_3 p b) (Finset.sum.{u3, u2} A (Finsupp.{u2, 0} σ Nat Nat.hasZero) _inst_3 (MvPolynomial.support.{u1, u2} R σ _inst_1 p) (fun (m : Finsupp.{u2, 0} σ Nat Nat.hasZero) => b m (MvPolynomial.coeff.{u1, u2} R σ _inst_1 m p)))
-but is expected to have type
-  forall {R : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u3} R] {A : Type.{u2}} [_inst_3 : AddCommMonoid.{u2} A] {p : MvPolynomial.{u1, u3} σ R _inst_1} {b : (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) -> R -> A}, Eq.{succ u2} A (Finsupp.sum.{u1, u3, u2} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R A (MonoidWithZero.toZero.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) _inst_3 p b) (Finset.sum.{u2, u1} A (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) _inst_3 (MvPolynomial.support.{u3, u1} R σ _inst_1 p) (fun (m : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => b m (MvPolynomial.coeff.{u3, u1} R σ _inst_1 m p)))
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.sum_def MvPolynomial.sum_defₓ'. -/
 theorem sum_def {A} [AddCommMonoid A] {p : MvPolynomial σ R} {b : (σ →₀ ℕ) → R → A} :
     p.Sum b = ∑ m in p.support, b m (p.coeff m) := by simp [support, Finsupp.sum, coeff]
 #align mv_polynomial.sum_def MvPolynomial.sum_def
 
-/- warning: mv_polynomial.support_mul -> MvPolynomial.support_mul is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_3 : DecidableEq.{succ u2} σ] (p : MvPolynomial.{u2, u1} σ R _inst_1) (q : MvPolynomial.{u2, u1} σ R _inst_1), HasSubset.Subset.{u2} (Finset.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (Finset.hasSubset.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (MvPolynomial.support.{u1, u2} R σ _inst_1 (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Distrib.toHasMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))) p q)) (Finset.biUnion.{u2, u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.{u2, 0} σ Nat Nat.hasZero) (fun (a : Finsupp.{u2, 0} σ Nat Nat.hasZero) (b : Finsupp.{u2, 0} σ Nat Nat.hasZero) => Finsupp.decidableEq.{u2, 0} σ Nat Nat.hasZero (fun (a : σ) (b : σ) => _inst_3 a b) (fun (a : Nat) (b : Nat) => Nat.decidableEq a b) a b) (MvPolynomial.support.{u1, u2} R σ _inst_1 p) (fun (a : Finsupp.{u2, 0} σ Nat Nat.hasZero) => Finset.biUnion.{u2, u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.{u2, 0} σ Nat Nat.hasZero) (fun (a : Finsupp.{u2, 0} σ Nat Nat.hasZero) (b : Finsupp.{u2, 0} σ Nat Nat.hasZero) => Finsupp.decidableEq.{u2, 0} σ Nat Nat.hasZero (fun (a : σ) (b : σ) => _inst_3 a b) (fun (a : Nat) (b : Nat) => Nat.decidableEq a b) a b) (MvPolynomial.support.{u1, u2} R σ _inst_1 q) (fun (b : Finsupp.{u2, 0} σ Nat Nat.hasZero) => Singleton.singleton.{u2, u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finset.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (Finset.hasSingleton.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (HAdd.hAdd.{u2, u2, u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.{u2, 0} σ Nat Nat.hasZero) (instHAdd.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.add.{u2, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid))) a b))))
-but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_3 : DecidableEq.{succ u1} σ] (p : MvPolynomial.{u1, u2} σ R _inst_1) (q : MvPolynomial.{u1, u2} σ R _inst_1), HasSubset.Subset.{u1} (Finset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (Finset.instHasSubsetFinset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (MvPolynomial.support.{u2, u1} R σ _inst_1 (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) p q)) (Finset.biUnion.{u1, u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (fun (a : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (b : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => Finsupp.decidableEq.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) (fun (a : σ) (b : σ) => _inst_3 a b) (fun (a : Nat) (b : Nat) => instDecidableEqNat a b) a b) (MvPolynomial.support.{u2, u1} R σ _inst_1 p) (fun (a : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => Finset.biUnion.{u1, u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (fun (a : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (b : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => Finsupp.decidableEq.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) (fun (a : σ) (b : σ) => _inst_3 a b) (fun (a : Nat) (b : Nat) => instDecidableEqNat a b) a b) (MvPolynomial.support.{u2, u1} R σ _inst_1 q) (fun (b : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => Singleton.singleton.{u1, u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (Finset.instSingletonFinset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (HAdd.hAdd.{u1, u1, u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (instHAdd.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.add.{u1, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid))) a b))))
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.support_mul MvPolynomial.support_mulₓ'. -/
 theorem support_mul [DecidableEq σ] (p q : MvPolynomial σ R) :
     (p * q).support ⊆ p.support.biUnion fun a => q.support.biUnion fun b => {a + b} := by
   convert AddMonoidAlgebra.support_mul p q <;> ext <;> convert Iff.rfl
 #align mv_polynomial.support_mul MvPolynomial.support_mul
 
-/- warning: mv_polynomial.ext -> MvPolynomial.ext is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] (p : MvPolynomial.{u2, u1} σ R _inst_1) (q : MvPolynomial.{u2, u1} σ R _inst_1), (forall (m : Finsupp.{u2, 0} σ Nat Nat.hasZero), Eq.{succ u1} R (MvPolynomial.coeff.{u1, u2} R σ _inst_1 m p) (MvPolynomial.coeff.{u1, u2} R σ _inst_1 m q)) -> (Eq.{max (succ u2) (succ u1)} (MvPolynomial.{u2, u1} σ R _inst_1) p q)
-but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] (p : MvPolynomial.{u1, u2} σ R _inst_1) (q : MvPolynomial.{u1, u2} σ R _inst_1), (forall (m : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)), Eq.{succ u2} R (MvPolynomial.coeff.{u2, u1} R σ _inst_1 m p) (MvPolynomial.coeff.{u2, u1} R σ _inst_1 m q)) -> (Eq.{max (succ u2) (succ u1)} (MvPolynomial.{u1, u2} σ R _inst_1) p q)
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.ext MvPolynomial.extₓ'. -/
 @[ext]
 theorem ext (p q : MvPolynomial σ R) : (∀ m, coeff m p = coeff m q) → p = q :=
   ext
 #align mv_polynomial.ext MvPolynomial.ext
 
-/- warning: mv_polynomial.ext_iff -> MvPolynomial.ext_iff is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] (p : MvPolynomial.{u2, u1} σ R _inst_1) (q : MvPolynomial.{u2, u1} σ R _inst_1), Iff (Eq.{max (succ u2) (succ u1)} (MvPolynomial.{u2, u1} σ R _inst_1) p q) (forall (m : Finsupp.{u2, 0} σ Nat Nat.hasZero), Eq.{succ u1} R (MvPolynomial.coeff.{u1, u2} R σ _inst_1 m p) (MvPolynomial.coeff.{u1, u2} R σ _inst_1 m q))
-but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] (p : MvPolynomial.{u1, u2} σ R _inst_1) (q : MvPolynomial.{u1, u2} σ R _inst_1), Iff (Eq.{max (succ u2) (succ u1)} (MvPolynomial.{u1, u2} σ R _inst_1) p q) (forall (m : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)), Eq.{succ u2} R (MvPolynomial.coeff.{u2, u1} R σ _inst_1 m p) (MvPolynomial.coeff.{u2, u1} R σ _inst_1 m q))
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.ext_iff MvPolynomial.ext_iffₓ'. -/
 theorem ext_iff (p q : MvPolynomial σ R) : p = q ↔ ∀ m, coeff m p = coeff m q :=
   ⟨fun h m => by rw [h], ext p q⟩
 #align mv_polynomial.ext_iff MvPolynomial.ext_iff
 
-/- warning: mv_polynomial.coeff_add -> MvPolynomial.coeff_add is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] (m : Finsupp.{u2, 0} σ Nat Nat.hasZero) (p : MvPolynomial.{u2, u1} σ R _inst_1) (q : MvPolynomial.{u2, u1} σ R _inst_1), Eq.{succ u1} R (MvPolynomial.coeff.{u1, u2} R σ _inst_1 m (HAdd.hAdd.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (instHAdd.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Distrib.toHasAdd.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))) p q)) (HAdd.hAdd.{u1, u1, u1} R R R (instHAdd.{u1} R (Distrib.toHasAdd.{u1} R (NonUnitalNonAssocSemiring.toDistrib.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))) (MvPolynomial.coeff.{u1, u2} R σ _inst_1 m p) (MvPolynomial.coeff.{u1, u2} R σ _inst_1 m q))
-but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] (m : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (p : MvPolynomial.{u1, u2} σ R _inst_1) (q : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{succ u2} R (MvPolynomial.coeff.{u2, u1} R σ _inst_1 m (HAdd.hAdd.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (instHAdd.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Distrib.toAdd.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) p q)) (HAdd.hAdd.{u2, u2, u2} R R R (instHAdd.{u2} R (Distrib.toAdd.{u2} R (NonUnitalNonAssocSemiring.toDistrib.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))))) (MvPolynomial.coeff.{u2, u1} R σ _inst_1 m p) (MvPolynomial.coeff.{u2, u1} R σ _inst_1 m q))
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.coeff_add MvPolynomial.coeff_addₓ'. -/
 @[simp]
 theorem coeff_add (m : σ →₀ ℕ) (p q : MvPolynomial σ R) : coeff m (p + q) = coeff m p + coeff m q :=
   add_apply p q m
 #align mv_polynomial.coeff_add MvPolynomial.coeff_add
 
-/- warning: mv_polynomial.coeff_smul -> MvPolynomial.coeff_smul is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {S₁ : Type.{u3}} [_inst_3 : SMulZeroClass.{u3, u1} S₁ R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))] (m : Finsupp.{u2, 0} σ Nat Nat.hasZero) (c : S₁) (p : MvPolynomial.{u2, u1} σ R _inst_1), Eq.{succ u1} R (MvPolynomial.coeff.{u1, u2} R σ _inst_1 m (SMul.smul.{u3, max u2 u1} S₁ (MvPolynomial.{u2, u1} σ R _inst_1) (SMulZeroClass.toHasSmul.{u3, max u2 u1} S₁ (MvPolynomial.{u2, u1} σ R _inst_1) (MulZeroClass.toHasZero.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toMulZeroClass.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))))) (MvPolynomial.smulZeroClass.{u3, u1, u2} S₁ R σ _inst_1 _inst_3)) c p)) (SMul.smul.{u3, u1} S₁ R (SMulZeroClass.toHasSmul.{u3, u1} S₁ R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) _inst_3) c (MvPolynomial.coeff.{u1, u2} R σ _inst_1 m p))
-but is expected to have type
-  forall {R : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u3} R] {S₁ : Type.{u2}} [_inst_3 : SMulZeroClass.{u2, u3} S₁ R (CommMonoidWithZero.toZero.{u3} R (CommSemiring.toCommMonoidWithZero.{u3} R _inst_1))] (m : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (c : S₁) (p : MvPolynomial.{u1, u3} σ R _inst_1), Eq.{succ u3} R (MvPolynomial.coeff.{u3, u1} R σ _inst_1 m (HSMul.hSMul.{u2, max u3 u1, max u3 u1} S₁ (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.{u1, u3} σ R _inst_1) (instHSMul.{u2, max u3 u1} S₁ (MvPolynomial.{u1, u3} σ R _inst_1) (SMulZeroClass.toSMul.{u2, max u3 u1} S₁ (MvPolynomial.{u1, u3} σ R _inst_1) (CommMonoidWithZero.toZero.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toCommMonoidWithZero.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (MvPolynomial.smulZeroClass.{u2, u3, u1} S₁ R σ _inst_1 _inst_3))) c p)) (HSMul.hSMul.{u2, u3, u3} S₁ R R (instHSMul.{u2, u3} S₁ R (SMulZeroClass.toSMul.{u2, u3} S₁ R (CommMonoidWithZero.toZero.{u3} R (CommSemiring.toCommMonoidWithZero.{u3} R _inst_1)) _inst_3)) c (MvPolynomial.coeff.{u3, u1} R σ _inst_1 m p))
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.coeff_smul MvPolynomial.coeff_smulₓ'. -/
 @[simp]
 theorem coeff_smul {S₁ : Type _} [SMulZeroClass S₁ R] (m : σ →₀ ℕ) (c : S₁) (p : MvPolynomial σ R) :
     coeff m (c • p) = c • coeff m p :=
   smul_apply c p m
 #align mv_polynomial.coeff_smul MvPolynomial.coeff_smul
 
-/- warning: mv_polynomial.coeff_zero -> MvPolynomial.coeff_zero is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] (m : Finsupp.{u2, 0} σ Nat Nat.hasZero), Eq.{succ u1} R (MvPolynomial.coeff.{u1, u2} R σ _inst_1 m (OfNat.ofNat.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) 0 (OfNat.mk.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) 0 (Zero.zero.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MulZeroClass.toHasZero.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toMulZeroClass.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))))))
-but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] (m : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)), Eq.{succ u2} R (MvPolynomial.coeff.{u2, u1} R σ _inst_1 m (OfNat.ofNat.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) 0 (Zero.toOfNat0.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommMonoidWithZero.toZero.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toCommMonoidWithZero.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))))
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.coeff_zero MvPolynomial.coeff_zeroₓ'. -/
 @[simp]
 theorem coeff_zero (m : σ →₀ ℕ) : coeff m (0 : MvPolynomial σ R) = 0 :=
   rfl
 #align mv_polynomial.coeff_zero MvPolynomial.coeff_zero
 
-/- warning: mv_polynomial.coeff_zero_X -> MvPolynomial.coeff_zero_X is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] (i : σ), Eq.{succ u1} R (MvPolynomial.coeff.{u1, u2} R σ _inst_1 (OfNat.ofNat.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) 0 (OfNat.mk.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) 0 (Zero.zero.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.zero.{u2, 0} σ Nat Nat.hasZero)))) (MvPolynomial.X.{u1, u2} R σ _inst_1 i)) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))))))
-but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] (i : σ), Eq.{succ u2} R (MvPolynomial.coeff.{u2, u1} R σ _inst_1 (OfNat.ofNat.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) 0 (Zero.toOfNat0.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.zero.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)))) (MvPolynomial.X.{u2, u1} R σ _inst_1 i)) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))))
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.coeff_zero_X MvPolynomial.coeff_zero_Xₓ'. -/
 @[simp]
 theorem coeff_zero_X (i : σ) : coeff 0 (X i : MvPolynomial σ R) = 0 :=
   single_eq_of_ne fun h => by cases single_eq_zero.1 h
@@ -984,89 +636,41 @@ def coeffAddMonoidHom (m : σ →₀ ℕ) : MvPolynomial σ R →+ R
 #align mv_polynomial.coeff_add_monoid_hom MvPolynomial.coeffAddMonoidHom
 -/
 
-/- warning: mv_polynomial.coeff_sum -> MvPolynomial.coeff_sum is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {X : Type.{u3}} (s : Finset.{u3} X) (f : X -> (MvPolynomial.{u2, u1} σ R _inst_1)) (m : Finsupp.{u2, 0} σ Nat Nat.hasZero), Eq.{succ u1} R (MvPolynomial.coeff.{u1, u2} R σ _inst_1 m (Finset.sum.{max u2 u1, u3} (MvPolynomial.{u2, u1} σ R _inst_1) X (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) s (fun (x : X) => f x))) (Finset.sum.{u1, u3} R X (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) s (fun (x : X) => MvPolynomial.coeff.{u1, u2} R σ _inst_1 m (f x)))
-but is expected to have type
-  forall {R : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u3} R] {X : Type.{u2}} (s : Finset.{u2} X) (f : X -> (MvPolynomial.{u1, u3} σ R _inst_1)) (m : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)), Eq.{succ u3} R (MvPolynomial.coeff.{u3, u1} R σ _inst_1 m (Finset.sum.{max u1 u3, u2} (MvPolynomial.{u1, u3} σ R _inst_1) X (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) s (fun (x : X) => f x))) (Finset.sum.{u3, u2} R X (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) s (fun (x : X) => MvPolynomial.coeff.{u3, u1} R σ _inst_1 m (f x)))
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.coeff_sum MvPolynomial.coeff_sumₓ'. -/
 theorem coeff_sum {X : Type _} (s : Finset X) (f : X → MvPolynomial σ R) (m : σ →₀ ℕ) :
     coeff m (∑ x in s, f x) = ∑ x in s, coeff m (f x) :=
   (@coeffAddMonoidHom R σ _ _).map_sum _ s
 #align mv_polynomial.coeff_sum MvPolynomial.coeff_sum
 
-/- warning: mv_polynomial.monic_monomial_eq -> MvPolynomial.monic_monomial_eq is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] (m : Finsupp.{u2, 0} σ Nat Nat.hasZero), Eq.{max (succ u2) (succ u1)} (MvPolynomial.{u2, u1} σ R _inst_1) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 m) (OfNat.ofNat.{u1} R 1 (OfNat.mk.{u1} R 1 (One.one.{u1} R (AddMonoidWithOne.toOne.{u1} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} R (NonAssocSemiring.toAddCommMonoidWithOne.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))))))) (Finsupp.prod.{u2, 0, max u2 u1} σ Nat (MvPolynomial.{u2, u1} σ R _inst_1) Nat.hasZero (CommSemiring.toCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) m (fun (n : σ) (e : Nat) => HPow.hPow.{max u2 u1, 0, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) Nat (MvPolynomial.{u2, u1} σ R _inst_1) (instHPow.{max u2 u1, 0} (MvPolynomial.{u2, u1} σ R _inst_1) Nat (Monoid.Pow.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MonoidWithZero.toMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toMonoidWithZero.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))))) (MvPolynomial.X.{u1, u2} R σ _inst_1 n) e))
-but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] (m : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)), Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) (OfNat.ofNat.{u2} R 1 (One.toOfNat1.{u2} R (Semiring.toOne.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 m) (OfNat.ofNat.{u2} R 1 (One.toOfNat1.{u2} R (Semiring.toOne.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) (Finsupp.prod.{u1, 0, max u2 u1} σ Nat (MvPolynomial.{u1, u2} σ R _inst_1) (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) (CommSemiring.toCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) m (fun (n : σ) (e : Nat) => HPow.hPow.{max u1 u2, 0, max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) Nat (MvPolynomial.{u1, u2} σ R _inst_1) (instHPow.{max u1 u2, 0} (MvPolynomial.{u1, u2} σ R _inst_1) Nat (Monoid.Pow.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MonoidWithZero.toMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toMonoidWithZero.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (MvPolynomial.X.{u2, u1} R σ _inst_1 n) e))
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.monic_monomial_eq MvPolynomial.monic_monomial_eqₓ'. -/
 theorem monic_monomial_eq (m) :
     monomial m (1 : R) = (m.Prod fun n e => X n ^ e : MvPolynomial σ R) := by simp [monomial_eq]
 #align mv_polynomial.monic_monomial_eq MvPolynomial.monic_monomial_eq
 
-/- warning: mv_polynomial.coeff_monomial -> MvPolynomial.coeff_monomial is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_3 : DecidableEq.{succ u2} σ] (m : Finsupp.{u2, 0} σ Nat Nat.hasZero) (n : Finsupp.{u2, 0} σ Nat Nat.hasZero) (a : R), Eq.{succ u1} R (MvPolynomial.coeff.{u1, u2} R σ _inst_1 m (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 n) a)) (ite.{succ u1} R (Eq.{succ u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) n m) (Finsupp.decidableEq.{u2, 0} σ Nat Nat.hasZero (fun (a : σ) (b : σ) => _inst_3 a b) (fun (a : Nat) (b : Nat) => Nat.decidableEq a b) n m) a (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))))))
-but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_3 : DecidableEq.{succ u1} σ] (m : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (n : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (a : R), Eq.{succ u2} R (MvPolynomial.coeff.{u2, u1} R σ _inst_1 m (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 n) a)) (ite.{succ u2} R (Eq.{succ u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) n m) (Finsupp.decidableEq.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) (fun (a : σ) (b : σ) => _inst_3 a b) (fun (a : Nat) (b : Nat) => instDecidableEqNat a b) n m) a (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1)))))
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.coeff_monomial MvPolynomial.coeff_monomialₓ'. -/
 @[simp]
 theorem coeff_monomial [DecidableEq σ] (m n) (a) :
     coeff m (monomial n a : MvPolynomial σ R) = if n = m then a else 0 :=
   single_apply
 #align mv_polynomial.coeff_monomial MvPolynomial.coeff_monomial
 
-/- warning: mv_polynomial.coeff_C -> MvPolynomial.coeff_C is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_3 : DecidableEq.{succ u2} σ] (m : Finsupp.{u2, 0} σ Nat Nat.hasZero) (a : R), Eq.{succ u1} R (MvPolynomial.coeff.{u1, u2} R σ _inst_1 m (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (fun (_x : RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (MvPolynomial.C.{u1, u2} R σ _inst_1) a)) (ite.{succ u1} R (Eq.{succ u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (OfNat.ofNat.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) 0 (OfNat.mk.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) 0 (Zero.zero.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.zero.{u2, 0} σ Nat Nat.hasZero)))) m) (Finsupp.decidableEq.{u2, 0} σ Nat Nat.hasZero (fun (a : σ) (b : σ) => _inst_3 a b) (fun (a : Nat) (b : Nat) => Nat.decidableEq a b) (OfNat.ofNat.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) 0 (OfNat.mk.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) 0 (Zero.zero.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.zero.{u2, 0} σ Nat Nat.hasZero)))) m) a (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))))))
-but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_3 : DecidableEq.{succ u1} σ] (m : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (a : R), Eq.{succ u2} R (MvPolynomial.coeff.{u2, u1} R σ _inst_1 m (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) a)) (ite.{succ u2} R (Eq.{succ u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (OfNat.ofNat.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) 0 (Zero.toOfNat0.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.zero.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)))) m) (Finsupp.decidableEq.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) (fun (a : σ) (b : σ) => _inst_3 a b) (fun (a : Nat) (b : Nat) => instDecidableEqNat a b) (OfNat.ofNat.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) 0 (Zero.toOfNat0.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.zero.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)))) m) a (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1)))))
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.coeff_C MvPolynomial.coeff_Cₓ'. -/
 @[simp]
 theorem coeff_C [DecidableEq σ] (m) (a) :
     coeff m (C a : MvPolynomial σ R) = if 0 = m then a else 0 :=
   single_apply
 #align mv_polynomial.coeff_C MvPolynomial.coeff_C
 
-/- warning: mv_polynomial.coeff_one -> MvPolynomial.coeff_one is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_3 : DecidableEq.{succ u2} σ] (m : Finsupp.{u2, 0} σ Nat Nat.hasZero), Eq.{succ u1} R (MvPolynomial.coeff.{u1, u2} R σ _inst_1 m (OfNat.ofNat.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) 1 (OfNat.mk.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) 1 (One.one.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (AddMonoidWithOne.toOne.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (AddCommMonoidWithOne.toAddMonoidWithOne.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toAddCommMonoidWithOne.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))))))))) (ite.{succ u1} R (Eq.{succ u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (OfNat.ofNat.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) 0 (OfNat.mk.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) 0 (Zero.zero.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.zero.{u2, 0} σ Nat Nat.hasZero)))) m) (Finsupp.decidableEq.{u2, 0} σ Nat Nat.hasZero (fun (a : σ) (b : σ) => _inst_3 a b) (fun (a : Nat) (b : Nat) => Nat.decidableEq a b) (OfNat.ofNat.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) 0 (OfNat.mk.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) 0 (Zero.zero.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.zero.{u2, 0} σ Nat Nat.hasZero)))) m) (OfNat.ofNat.{u1} R 1 (OfNat.mk.{u1} R 1 (One.one.{u1} R (AddMonoidWithOne.toOne.{u1} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} R (NonAssocSemiring.toAddCommMonoidWithOne.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))))))
-but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_3 : DecidableEq.{succ u1} σ] (m : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)), Eq.{succ u2} R (MvPolynomial.coeff.{u2, u1} R σ _inst_1 m (OfNat.ofNat.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) 1 (One.toOfNat1.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toOne.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (ite.{succ u2} R (Eq.{succ u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (OfNat.ofNat.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) 0 (Zero.toOfNat0.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.zero.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)))) m) (Finsupp.decidableEq.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) (fun (a : σ) (b : σ) => _inst_3 a b) (fun (a : Nat) (b : Nat) => instDecidableEqNat a b) (OfNat.ofNat.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) 0 (Zero.toOfNat0.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.zero.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)))) m) (OfNat.ofNat.{u2} R 1 (One.toOfNat1.{u2} R (Semiring.toOne.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1)))))
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.coeff_one MvPolynomial.coeff_oneₓ'. -/
 theorem coeff_one [DecidableEq σ] (m) : coeff m (1 : MvPolynomial σ R) = if 0 = m then 1 else 0 :=
   coeff_C m 1
 #align mv_polynomial.coeff_one MvPolynomial.coeff_one
 
-/- warning: mv_polynomial.coeff_zero_C -> MvPolynomial.coeff_zero_C is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] (a : R), Eq.{succ u1} R (MvPolynomial.coeff.{u1, u2} R σ _inst_1 (OfNat.ofNat.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) 0 (OfNat.mk.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) 0 (Zero.zero.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.zero.{u2, 0} σ Nat Nat.hasZero)))) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (fun (_x : RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (MvPolynomial.C.{u1, u2} R σ _inst_1) a)) a
-but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] (a : R), Eq.{succ u2} R (MvPolynomial.coeff.{u2, u1} R σ _inst_1 (OfNat.ofNat.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) 0 (Zero.toOfNat0.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.zero.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)))) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) a)) a
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.coeff_zero_C MvPolynomial.coeff_zero_Cₓ'. -/
 @[simp]
 theorem coeff_zero_C (a) : coeff 0 (C a : MvPolynomial σ R) = a :=
   single_eq_same
 #align mv_polynomial.coeff_zero_C MvPolynomial.coeff_zero_C
 
-/- warning: mv_polynomial.coeff_zero_one -> MvPolynomial.coeff_zero_one is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R], Eq.{succ u1} R (MvPolynomial.coeff.{u1, u2} R σ _inst_1 (OfNat.ofNat.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) 0 (OfNat.mk.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) 0 (Zero.zero.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.zero.{u2, 0} σ Nat Nat.hasZero)))) (OfNat.ofNat.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) 1 (OfNat.mk.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) 1 (One.one.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (AddMonoidWithOne.toOne.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (AddCommMonoidWithOne.toAddMonoidWithOne.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toAddCommMonoidWithOne.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))))))))) (OfNat.ofNat.{u1} R 1 (OfNat.mk.{u1} R 1 (One.one.{u1} R (AddMonoidWithOne.toOne.{u1} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} R (NonAssocSemiring.toAddCommMonoidWithOne.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))))))
-but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R], Eq.{succ u2} R (MvPolynomial.coeff.{u2, u1} R σ _inst_1 (OfNat.ofNat.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) 0 (Zero.toOfNat0.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.zero.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)))) (OfNat.ofNat.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) 1 (One.toOfNat1.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toOne.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (OfNat.ofNat.{u2} R 1 (One.toOfNat1.{u2} R (Semiring.toOne.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.coeff_zero_one MvPolynomial.coeff_zero_oneₓ'. -/
 @[simp]
 theorem coeff_zero_one : coeff 0 (1 : MvPolynomial σ R) = 1 :=
   coeff_zero_C 1
 #align mv_polynomial.coeff_zero_one MvPolynomial.coeff_zero_one
 
-/- warning: mv_polynomial.coeff_X_pow -> MvPolynomial.coeff_X_pow is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_3 : DecidableEq.{succ u2} σ] (i : σ) (m : Finsupp.{u2, 0} σ Nat Nat.hasZero) (k : Nat), Eq.{succ u1} R (MvPolynomial.coeff.{u1, u2} R σ _inst_1 m (HPow.hPow.{max u2 u1, 0, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) Nat (MvPolynomial.{u2, u1} σ R _inst_1) (instHPow.{max u2 u1, 0} (MvPolynomial.{u2, u1} σ R _inst_1) Nat (Monoid.Pow.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MonoidWithZero.toMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toMonoidWithZero.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))))) (MvPolynomial.X.{u1, u2} R σ _inst_1 i) k)) (ite.{succ u1} R (Eq.{succ u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.single.{u2, 0} σ Nat Nat.hasZero i k) m) (Finsupp.decidableEq.{u2, 0} σ Nat Nat.hasZero (fun (a : σ) (b : σ) => _inst_3 a b) (fun (a : Nat) (b : Nat) => Nat.decidableEq a b) (Finsupp.single.{u2, 0} σ Nat Nat.hasZero i k) m) (OfNat.ofNat.{u1} R 1 (OfNat.mk.{u1} R 1 (One.one.{u1} R (AddMonoidWithOne.toOne.{u1} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} R (NonAssocSemiring.toAddCommMonoidWithOne.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))))))
-but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_3 : DecidableEq.{succ u1} σ] (i : σ) (m : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (k : Nat), Eq.{succ u2} R (MvPolynomial.coeff.{u2, u1} R σ _inst_1 m (HPow.hPow.{max u1 u2, 0, max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) Nat (MvPolynomial.{u1, u2} σ R _inst_1) (instHPow.{max u1 u2, 0} (MvPolynomial.{u1, u2} σ R _inst_1) Nat (Monoid.Pow.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MonoidWithZero.toMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toMonoidWithZero.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (MvPolynomial.X.{u2, u1} R σ _inst_1 i) k)) (ite.{succ u2} R (Eq.{succ u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.single.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) i k) m) (Finsupp.decidableEq.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) (fun (a : σ) (b : σ) => _inst_3 a b) (fun (a : Nat) (b : Nat) => instDecidableEqNat a b) (Finsupp.single.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) i k) m) (OfNat.ofNat.{u2} R 1 (One.toOfNat1.{u2} R (Semiring.toOne.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1)))))
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.coeff_X_pow MvPolynomial.coeff_X_powₓ'. -/
 theorem coeff_X_pow [DecidableEq σ] (i : σ) (m) (k : ℕ) :
     coeff m (X i ^ k : MvPolynomial σ R) = if single i k = m then 1 else 0 :=
   by
@@ -1076,34 +680,16 @@ theorem coeff_X_pow [DecidableEq σ] (i : σ) (m) (k : ℕ) :
   exact pow_zero _
 #align mv_polynomial.coeff_X_pow MvPolynomial.coeff_X_pow
 
-/- warning: mv_polynomial.coeff_X' -> MvPolynomial.coeff_X' is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_3 : DecidableEq.{succ u2} σ] (i : σ) (m : Finsupp.{u2, 0} σ Nat Nat.hasZero), Eq.{succ u1} R (MvPolynomial.coeff.{u1, u2} R σ _inst_1 m (MvPolynomial.X.{u1, u2} R σ _inst_1 i)) (ite.{succ u1} R (Eq.{succ u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.single.{u2, 0} σ Nat Nat.hasZero i (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne)))) m) (Finsupp.decidableEq.{u2, 0} σ Nat Nat.hasZero (fun (a : σ) (b : σ) => _inst_3 a b) (fun (a : Nat) (b : Nat) => Nat.decidableEq a b) (Finsupp.single.{u2, 0} σ Nat Nat.hasZero i (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne)))) m) (OfNat.ofNat.{u1} R 1 (OfNat.mk.{u1} R 1 (One.one.{u1} R (AddMonoidWithOne.toOne.{u1} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} R (NonAssocSemiring.toAddCommMonoidWithOne.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))))))
-but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_3 : DecidableEq.{succ u1} σ] (i : σ) (m : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)), Eq.{succ u2} R (MvPolynomial.coeff.{u2, u1} R σ _inst_1 m (MvPolynomial.X.{u2, u1} R σ _inst_1 i)) (ite.{succ u2} R (Eq.{succ u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.single.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) i (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))) m) (Finsupp.decidableEq.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) (fun (a : σ) (b : σ) => _inst_3 a b) (fun (a : Nat) (b : Nat) => instDecidableEqNat a b) (Finsupp.single.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) i (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))) m) (OfNat.ofNat.{u2} R 1 (One.toOfNat1.{u2} R (Semiring.toOne.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1)))))
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.coeff_X' MvPolynomial.coeff_X'ₓ'. -/
 theorem coeff_X' [DecidableEq σ] (i : σ) (m) :
     coeff m (X i : MvPolynomial σ R) = if single i 1 = m then 1 else 0 := by
   rw [← coeff_X_pow, pow_one]
 #align mv_polynomial.coeff_X' MvPolynomial.coeff_X'
 
-/- warning: mv_polynomial.coeff_X -> MvPolynomial.coeff_X is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] (i : σ), Eq.{succ u1} R (MvPolynomial.coeff.{u1, u2} R σ _inst_1 (Finsupp.single.{u2, 0} σ Nat Nat.hasZero i (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne)))) (MvPolynomial.X.{u1, u2} R σ _inst_1 i)) (OfNat.ofNat.{u1} R 1 (OfNat.mk.{u1} R 1 (One.one.{u1} R (AddMonoidWithOne.toOne.{u1} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} R (NonAssocSemiring.toAddCommMonoidWithOne.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))))))
-but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] (i : σ), Eq.{succ u2} R (MvPolynomial.coeff.{u2, u1} R σ _inst_1 (Finsupp.single.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) i (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))) (MvPolynomial.X.{u2, u1} R σ _inst_1 i)) (OfNat.ofNat.{u2} R 1 (One.toOfNat1.{u2} R (Semiring.toOne.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.coeff_X MvPolynomial.coeff_Xₓ'. -/
 @[simp]
 theorem coeff_X (i : σ) : coeff (single i 1) (X i : MvPolynomial σ R) = 1 := by
   classical rw [coeff_X', if_pos rfl]
 #align mv_polynomial.coeff_X MvPolynomial.coeff_X
 
-/- warning: mv_polynomial.coeff_C_mul -> MvPolynomial.coeff_C_mul is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] (m : Finsupp.{u2, 0} σ Nat Nat.hasZero) (a : R) (p : MvPolynomial.{u2, u1} σ R _inst_1), Eq.{succ u1} R (MvPolynomial.coeff.{u1, u2} R σ _inst_1 m (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Distrib.toHasMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (fun (_x : RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (MvPolynomial.C.{u1, u2} R σ _inst_1) a) p)) (HMul.hMul.{u1, u1, u1} R R R (instHMul.{u1} R (Distrib.toHasMul.{u1} R (NonUnitalNonAssocSemiring.toDistrib.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))) a (MvPolynomial.coeff.{u1, u2} R σ _inst_1 m p))
-but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] (m : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (a : R) (p : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{succ u2} R (MvPolynomial.coeff.{u2, u1} R σ _inst_1 m (HMul.hMul.{max u2 u1, max u2 u1, max u1 u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (instHMul.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (Semiring.toNonAssocSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (CommSemiring.toSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) a) p)) (HMul.hMul.{u2, u2, u2} R R R (instHMul.{u2} R (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) a (MvPolynomial.coeff.{u2, u1} R σ _inst_1 m p))
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.coeff_C_mul MvPolynomial.coeff_C_mulₓ'. -/
 @[simp]
 theorem coeff_C_mul (m) (a : R) (p : MvPolynomial σ R) : coeff m (C a * p) = a * coeff m p := by
   classical
@@ -1112,107 +698,53 @@ theorem coeff_C_mul (m) (a : R) (p : MvPolynomial σ R) : coeff m (C a * p) = a
     simp
 #align mv_polynomial.coeff_C_mul MvPolynomial.coeff_C_mul
 
-/- warning: mv_polynomial.coeff_mul -> MvPolynomial.coeff_mul is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] (p : MvPolynomial.{u2, u1} σ R _inst_1) (q : MvPolynomial.{u2, u1} σ R _inst_1) (n : Finsupp.{u2, 0} σ Nat Nat.hasZero), Eq.{succ u1} R (MvPolynomial.coeff.{u1, u2} R σ _inst_1 n (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Distrib.toHasMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))) p q)) (Finset.sum.{u1, u2} R (Prod.{u2, u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (Finsupp.antidiagonal.{u2} σ n) (fun (x : Prod.{u2, u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.{u2, 0} σ Nat Nat.hasZero)) => HMul.hMul.{u1, u1, u1} R R R (instHMul.{u1} R (Distrib.toHasMul.{u1} R (NonUnitalNonAssocSemiring.toDistrib.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))) (MvPolynomial.coeff.{u1, u2} R σ _inst_1 (Prod.fst.{u2, u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.{u2, 0} σ Nat Nat.hasZero) x) p) (MvPolynomial.coeff.{u1, u2} R σ _inst_1 (Prod.snd.{u2, u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.{u2, 0} σ Nat Nat.hasZero) x) q)))
-but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] (p : MvPolynomial.{u1, u2} σ R _inst_1) (q : MvPolynomial.{u1, u2} σ R _inst_1) (n : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)), Eq.{succ u2} R (MvPolynomial.coeff.{u2, u1} R σ _inst_1 n (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) p q)) (Finset.sum.{u2, u1} R (Prod.{u1, u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (Finsupp.antidiagonal.{u1} σ n) (fun (x : Prod.{u1, u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) => HMul.hMul.{u2, u2, u2} R R R (instHMul.{u2} R (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) (MvPolynomial.coeff.{u2, u1} R σ _inst_1 (Prod.fst.{u1, u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) x) p) (MvPolynomial.coeff.{u2, u1} R σ _inst_1 (Prod.snd.{u1, u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) x) q)))
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.coeff_mul MvPolynomial.coeff_mulₓ'. -/
 theorem coeff_mul (p q : MvPolynomial σ R) (n : σ →₀ ℕ) :
     coeff n (p * q) = ∑ x in antidiagonal n, coeff x.1 p * coeff x.2 q :=
   AddMonoidAlgebra.mul_apply_antidiagonal p q _ _ fun p => mem_antidiagonal
 #align mv_polynomial.coeff_mul MvPolynomial.coeff_mul
 
-/- warning: mv_polynomial.coeff_mul_monomial -> MvPolynomial.coeff_mul_monomial is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] (m : Finsupp.{u2, 0} σ Nat Nat.hasZero) (s : Finsupp.{u2, 0} σ Nat Nat.hasZero) (r : R) (p : MvPolynomial.{u2, u1} σ R _inst_1), Eq.{succ u1} R (MvPolynomial.coeff.{u1, u2} R σ _inst_1 (HAdd.hAdd.{u2, u2, u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.{u2, 0} σ Nat Nat.hasZero) (instHAdd.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.add.{u2, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid))) m s) (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Distrib.toHasMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))) p (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 s) r))) (HMul.hMul.{u1, u1, u1} R R R (instHMul.{u1} R (Distrib.toHasMul.{u1} R (NonUnitalNonAssocSemiring.toDistrib.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))) (MvPolynomial.coeff.{u1, u2} R σ _inst_1 m p) r)
-but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] (m : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (s : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (r : R) (p : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{succ u2} R (MvPolynomial.coeff.{u2, u1} R σ _inst_1 (HAdd.hAdd.{u1, u1, u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (instHAdd.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.add.{u1, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid))) m s) (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) r) (MvPolynomial.{u1, u2} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) p (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s) r))) (HMul.hMul.{u2, u2, u2} R R R (instHMul.{u2} R (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) (MvPolynomial.coeff.{u2, u1} R σ _inst_1 m p) r)
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.coeff_mul_monomial MvPolynomial.coeff_mul_monomialₓ'. -/
 @[simp]
 theorem coeff_mul_monomial (m) (s : σ →₀ ℕ) (r : R) (p : MvPolynomial σ R) :
     coeff (m + s) (p * monomial s r) = coeff m p * r :=
   AddMonoidAlgebra.mul_single_apply_aux p _ _ _ _ fun a => add_left_inj _
 #align mv_polynomial.coeff_mul_monomial MvPolynomial.coeff_mul_monomial
 
-/- warning: mv_polynomial.coeff_monomial_mul -> MvPolynomial.coeff_monomial_mul is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] (m : Finsupp.{u2, 0} σ Nat Nat.hasZero) (s : Finsupp.{u2, 0} σ Nat Nat.hasZero) (r : R) (p : MvPolynomial.{u2, u1} σ R _inst_1), Eq.{succ u1} R (MvPolynomial.coeff.{u1, u2} R σ _inst_1 (HAdd.hAdd.{u2, u2, u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.{u2, 0} σ Nat Nat.hasZero) (instHAdd.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.add.{u2, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid))) s m) (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Distrib.toHasMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 s) r) p)) (HMul.hMul.{u1, u1, u1} R R R (instHMul.{u1} R (Distrib.toHasMul.{u1} R (NonUnitalNonAssocSemiring.toDistrib.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))) r (MvPolynomial.coeff.{u1, u2} R σ _inst_1 m p))
-but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] (m : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (s : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (r : R) (p : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{succ u2} R (MvPolynomial.coeff.{u2, u1} R σ _inst_1 (HAdd.hAdd.{u1, u1, u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (instHAdd.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.add.{u1, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid))) s m) (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) r) (MvPolynomial.{u1, u2} σ R _inst_1) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) r) (instHMul.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) r) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) r) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) r) (Semiring.toNonAssocSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) r) (CommSemiring.toSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) r) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s) r) p)) (HMul.hMul.{u2, u2, u2} R R R (instHMul.{u2} R (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) r (MvPolynomial.coeff.{u2, u1} R σ _inst_1 m p))
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.coeff_monomial_mul MvPolynomial.coeff_monomial_mulₓ'. -/
 @[simp]
 theorem coeff_monomial_mul (m) (s : σ →₀ ℕ) (r : R) (p : MvPolynomial σ R) :
     coeff (s + m) (monomial s r * p) = r * coeff m p :=
   AddMonoidAlgebra.single_mul_apply_aux p _ _ _ _ fun a => add_right_inj _
 #align mv_polynomial.coeff_monomial_mul MvPolynomial.coeff_monomial_mul
 
-/- warning: mv_polynomial.coeff_mul_X -> MvPolynomial.coeff_mul_X is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] (m : Finsupp.{u2, 0} σ Nat Nat.hasZero) (s : σ) (p : MvPolynomial.{u2, u1} σ R _inst_1), Eq.{succ u1} R (MvPolynomial.coeff.{u1, u2} R σ _inst_1 (HAdd.hAdd.{u2, u2, u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.{u2, 0} σ Nat Nat.hasZero) (instHAdd.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.add.{u2, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid))) m (Finsupp.single.{u2, 0} σ Nat Nat.hasZero s (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Distrib.toHasMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))) p (MvPolynomial.X.{u1, u2} R σ _inst_1 s))) (MvPolynomial.coeff.{u1, u2} R σ _inst_1 m p)
-but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] (m : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (s : σ) (p : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{succ u2} R (MvPolynomial.coeff.{u2, u1} R σ _inst_1 (HAdd.hAdd.{u1, u1, u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (instHAdd.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.add.{u1, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid))) m (Finsupp.single.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) s (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (HMul.hMul.{max u2 u1, max u1 u2, max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) p (MvPolynomial.X.{u2, u1} R σ _inst_1 s))) (MvPolynomial.coeff.{u2, u1} R σ _inst_1 m p)
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.coeff_mul_X MvPolynomial.coeff_mul_Xₓ'. -/
 @[simp]
 theorem coeff_mul_X (m) (s : σ) (p : MvPolynomial σ R) :
     coeff (m + single s 1) (p * X s) = coeff m p :=
   (coeff_mul_monomial _ _ _ _).trans (mul_one _)
 #align mv_polynomial.coeff_mul_X MvPolynomial.coeff_mul_X
 
-/- warning: mv_polynomial.coeff_X_mul -> MvPolynomial.coeff_X_mul is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] (m : Finsupp.{u2, 0} σ Nat Nat.hasZero) (s : σ) (p : MvPolynomial.{u2, u1} σ R _inst_1), Eq.{succ u1} R (MvPolynomial.coeff.{u1, u2} R σ _inst_1 (HAdd.hAdd.{u2, u2, u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.{u2, 0} σ Nat Nat.hasZero) (instHAdd.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.add.{u2, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid))) (Finsupp.single.{u2, 0} σ Nat Nat.hasZero s (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne)))) m) (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Distrib.toHasMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))) (MvPolynomial.X.{u1, u2} R σ _inst_1 s) p)) (MvPolynomial.coeff.{u1, u2} R σ _inst_1 m p)
-but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] (m : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (s : σ) (p : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{succ u2} R (MvPolynomial.coeff.{u2, u1} R σ _inst_1 (HAdd.hAdd.{u1, u1, u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (instHAdd.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.add.{u1, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid))) (Finsupp.single.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) s (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))) m) (HMul.hMul.{max u1 u2, max u2 u1, max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (instHMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (MvPolynomial.X.{u2, u1} R σ _inst_1 s) p)) (MvPolynomial.coeff.{u2, u1} R σ _inst_1 m p)
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.coeff_X_mul MvPolynomial.coeff_X_mulₓ'. -/
 @[simp]
 theorem coeff_X_mul (m) (s : σ) (p : MvPolynomial σ R) :
     coeff (single s 1 + m) (X s * p) = coeff m p :=
   (coeff_monomial_mul _ _ _ _).trans (one_mul _)
 #align mv_polynomial.coeff_X_mul MvPolynomial.coeff_X_mul
 
-/- warning: mv_polynomial.support_mul_X -> MvPolynomial.support_mul_X is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] (s : σ) (p : MvPolynomial.{u2, u1} σ R _inst_1), Eq.{succ u2} (Finset.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (MvPolynomial.support.{u1, u2} R σ _inst_1 (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Distrib.toHasMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))) p (MvPolynomial.X.{u1, u2} R σ _inst_1 s))) (Finset.map.{u2, u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.{u2, 0} σ Nat Nat.hasZero) (addRightEmbedding.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (AddRightCancelMonoid.toAddRightCancelSemigroup.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (AddCancelMonoid.toAddRightCancelMonoid.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (AddCancelCommMonoid.toAddCancelMonoid.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.orderedCancelAddCommMonoid.{u2, 0} σ Nat (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring)))))) (Finsupp.single.{u2, 0} σ Nat Nat.hasZero s (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (MvPolynomial.support.{u1, u2} R σ _inst_1 p))
-but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] (s : σ) (p : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{succ u1} (Finset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (MvPolynomial.support.{u2, u1} R σ _inst_1 (HMul.hMul.{max u2 u1, max u1 u2, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) p (MvPolynomial.X.{u2, u1} R σ _inst_1 s))) (Finset.map.{u1, u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (addRightEmbedding.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (AddRightCancelMonoid.toAddRightCancelSemigroup.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (AddCancelMonoid.toAddRightCancelMonoid.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (AddCancelCommMonoid.toAddCancelMonoid.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.orderedCancelAddCommMonoid.{u1, 0} σ Nat (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring)))))) (Finsupp.single.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) s (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (MvPolynomial.support.{u2, u1} R σ _inst_1 p))
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.support_mul_X MvPolynomial.support_mul_Xₓ'. -/
 @[simp]
 theorem support_mul_X (s : σ) (p : MvPolynomial σ R) :
     (p * X s).support = p.support.map (addRightEmbedding (single s 1)) :=
   AddMonoidAlgebra.support_mul_single p _ (by simp) _
 #align mv_polynomial.support_mul_X MvPolynomial.support_mul_X
 
-/- warning: mv_polynomial.support_X_mul -> MvPolynomial.support_X_mul is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] (s : σ) (p : MvPolynomial.{u2, u1} σ R _inst_1), Eq.{succ u2} (Finset.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (MvPolynomial.support.{u1, u2} R σ _inst_1 (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Distrib.toHasMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))) (MvPolynomial.X.{u1, u2} R σ _inst_1 s) p)) (Finset.map.{u2, u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.{u2, 0} σ Nat Nat.hasZero) (addLeftEmbedding.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (AddLeftCancelMonoid.toAddLeftCancelSemigroup.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (AddCancelCommMonoid.toAddLeftCancelMonoid.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.orderedCancelAddCommMonoid.{u2, 0} σ Nat (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring))))) (Finsupp.single.{u2, 0} σ Nat Nat.hasZero s (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (MvPolynomial.support.{u1, u2} R σ _inst_1 p))
-but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] (s : σ) (p : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{succ u1} (Finset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (MvPolynomial.support.{u2, u1} R σ _inst_1 (HMul.hMul.{max u1 u2, max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (instHMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (MvPolynomial.X.{u2, u1} R σ _inst_1 s) p)) (Finset.map.{u1, u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (addLeftEmbedding.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (AddLeftCancelMonoid.toAddLeftCancelSemigroup.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (AddCancelCommMonoid.toAddLeftCancelMonoid.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.orderedCancelAddCommMonoid.{u1, 0} σ Nat (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring))))) (Finsupp.single.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) s (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (MvPolynomial.support.{u2, u1} R σ _inst_1 p))
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.support_X_mul MvPolynomial.support_X_mulₓ'. -/
 @[simp]
 theorem support_X_mul (s : σ) (p : MvPolynomial σ R) :
     (X s * p).support = p.support.map (addLeftEmbedding (single s 1)) :=
   AddMonoidAlgebra.support_single_mul p _ (by simp) _
 #align mv_polynomial.support_X_mul MvPolynomial.support_X_mul
 
-/- warning: mv_polynomial.support_smul_eq -> MvPolynomial.support_smul_eq is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {S₁ : Type.{u3}} [_inst_3 : Semiring.{u3} S₁] [_inst_4 : Module.{u3, u1} S₁ R _inst_3 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))] [_inst_5 : NoZeroSMulDivisors.{u3, u1} S₁ R (MulZeroClass.toHasZero.{u3} S₁ (NonUnitalNonAssocSemiring.toMulZeroClass.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ _inst_3)))) (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (SMulZeroClass.toHasSmul.{u3, u1} S₁ R (AddZeroClass.toHasZero.{u1} R (AddMonoid.toAddZeroClass.{u1} R (AddCommMonoid.toAddMonoid.{u1} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))))) (SMulWithZero.toSmulZeroClass.{u3, u1} S₁ R (MulZeroClass.toHasZero.{u3} S₁ (MulZeroOneClass.toMulZeroClass.{u3} S₁ (MonoidWithZero.toMulZeroOneClass.{u3} S₁ (Semiring.toMonoidWithZero.{u3} S₁ _inst_3)))) (AddZeroClass.toHasZero.{u1} R (AddMonoid.toAddZeroClass.{u1} R (AddCommMonoid.toAddMonoid.{u1} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))))) (MulActionWithZero.toSMulWithZero.{u3, u1} S₁ R (Semiring.toMonoidWithZero.{u3} S₁ _inst_3) (AddZeroClass.toHasZero.{u1} R (AddMonoid.toAddZeroClass.{u1} R (AddCommMonoid.toAddMonoid.{u1} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))))) (Module.toMulActionWithZero.{u3, u1} S₁ R _inst_3 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) _inst_4))))] {a : S₁}, (Ne.{succ u3} S₁ a (OfNat.ofNat.{u3} S₁ 0 (OfNat.mk.{u3} S₁ 0 (Zero.zero.{u3} S₁ (MulZeroClass.toHasZero.{u3} S₁ (NonUnitalNonAssocSemiring.toMulZeroClass.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ _inst_3)))))))) -> (forall (p : MvPolynomial.{u2, u1} σ R _inst_1), Eq.{succ u2} (Finset.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (MvPolynomial.support.{u1, u2} R σ _inst_1 (SMul.smul.{u3, max u2 u1} S₁ (MvPolynomial.{u2, u1} σ R _inst_1) (SMulZeroClass.toHasSmul.{u3, max u2 u1} S₁ (MvPolynomial.{u2, u1} σ R _inst_1) (MulZeroClass.toHasZero.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toMulZeroClass.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))))) (MvPolynomial.smulZeroClass.{u3, u1, u2} S₁ R σ _inst_1 (SMulWithZero.toSmulZeroClass.{u3, u1} S₁ R (MulZeroClass.toHasZero.{u3} S₁ (MulZeroOneClass.toMulZeroClass.{u3} S₁ (MonoidWithZero.toMulZeroOneClass.{u3} S₁ (Semiring.toMonoidWithZero.{u3} S₁ _inst_3)))) (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (MulActionWithZero.toSMulWithZero.{u3, u1} S₁ R (Semiring.toMonoidWithZero.{u3} S₁ _inst_3) (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (Module.toMulActionWithZero.{u3, u1} S₁ R _inst_3 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) _inst_4))))) a p)) (MvPolynomial.support.{u1, u2} R σ _inst_1 p))
-but is expected to have type
-  forall {R : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u3} R] {S₁ : Type.{u2}} [_inst_3 : Semiring.{u2} S₁] [_inst_4 : Module.{u2, u3} S₁ R _inst_3 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))))] [_inst_5 : NoZeroSMulDivisors.{u2, u3} S₁ R (MonoidWithZero.toZero.{u2} S₁ (Semiring.toMonoidWithZero.{u2} S₁ _inst_3)) (CommMonoidWithZero.toZero.{u3} R (CommSemiring.toCommMonoidWithZero.{u3} R _inst_1)) (SMulZeroClass.toSMul.{u2, u3} S₁ R (CommMonoidWithZero.toZero.{u3} R (CommSemiring.toCommMonoidWithZero.{u3} R _inst_1)) (SMulWithZero.toSMulZeroClass.{u2, u3} S₁ R (MonoidWithZero.toZero.{u2} S₁ (Semiring.toMonoidWithZero.{u2} S₁ _inst_3)) (CommMonoidWithZero.toZero.{u3} R (CommSemiring.toCommMonoidWithZero.{u3} R _inst_1)) (MulActionWithZero.toSMulWithZero.{u2, u3} S₁ R (Semiring.toMonoidWithZero.{u2} S₁ _inst_3) (CommMonoidWithZero.toZero.{u3} R (CommSemiring.toCommMonoidWithZero.{u3} R _inst_1)) (Module.toMulActionWithZero.{u2, u3} S₁ R _inst_3 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) _inst_4))))] {a : S₁}, (Ne.{succ u2} S₁ a (OfNat.ofNat.{u2} S₁ 0 (Zero.toOfNat0.{u2} S₁ (MonoidWithZero.toZero.{u2} S₁ (Semiring.toMonoidWithZero.{u2} S₁ _inst_3))))) -> (forall (p : MvPolynomial.{u1, u3} σ R _inst_1), Eq.{succ u1} (Finset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (MvPolynomial.support.{u3, u1} R σ _inst_1 (HSMul.hSMul.{u2, max u3 u1, max u3 u1} S₁ (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.{u1, u3} σ R _inst_1) (instHSMul.{u2, max u3 u1} S₁ (MvPolynomial.{u1, u3} σ R _inst_1) (SMulZeroClass.toSMul.{u2, max u3 u1} S₁ (MvPolynomial.{u1, u3} σ R _inst_1) (CommMonoidWithZero.toZero.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toCommMonoidWithZero.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (MvPolynomial.smulZeroClass.{u2, u3, u1} S₁ R σ _inst_1 (SMulWithZero.toSMulZeroClass.{u2, u3} S₁ R (MonoidWithZero.toZero.{u2} S₁ (Semiring.toMonoidWithZero.{u2} S₁ _inst_3)) (CommMonoidWithZero.toZero.{u3} R (CommSemiring.toCommMonoidWithZero.{u3} R _inst_1)) (MulActionWithZero.toSMulWithZero.{u2, u3} S₁ R (Semiring.toMonoidWithZero.{u2} S₁ _inst_3) (CommMonoidWithZero.toZero.{u3} R (CommSemiring.toCommMonoidWithZero.{u3} R _inst_1)) (Module.toMulActionWithZero.{u2, u3} S₁ R _inst_3 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) _inst_4)))))) a p)) (MvPolynomial.support.{u3, u1} R σ _inst_1 p))
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.support_smul_eq MvPolynomial.support_smul_eqₓ'. -/
 @[simp]
 theorem support_smul_eq {S₁ : Type _} [Semiring S₁] [Module S₁ R] [NoZeroSMulDivisors S₁ R] {a : S₁}
     (h : a ≠ 0) (p : MvPolynomial σ R) : (a • p).support = p.support :=
   Finsupp.support_smul_eq h
 #align mv_polynomial.support_smul_eq MvPolynomial.support_smul_eq
 
-/- warning: mv_polynomial.support_sdiff_support_subset_support_add -> MvPolynomial.support_sdiff_support_subset_support_add is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_3 : DecidableEq.{succ u2} σ] (p : MvPolynomial.{u2, u1} σ R _inst_1) (q : MvPolynomial.{u2, u1} σ R _inst_1), HasSubset.Subset.{u2} (Finset.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (Finset.hasSubset.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (SDiff.sdiff.{u2} (Finset.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (Finset.hasSdiff.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (fun (a : Finsupp.{u2, 0} σ Nat Nat.hasZero) (b : Finsupp.{u2, 0} σ Nat Nat.hasZero) => Finsupp.decidableEq.{u2, 0} σ Nat Nat.hasZero (fun (a : σ) (b : σ) => _inst_3 a b) (fun (a : Nat) (b : Nat) => Nat.decidableEq a b) a b)) (MvPolynomial.support.{u1, u2} R σ _inst_1 p) (MvPolynomial.support.{u1, u2} R σ _inst_1 q)) (MvPolynomial.support.{u1, u2} R σ _inst_1 (HAdd.hAdd.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (instHAdd.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Distrib.toHasAdd.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))) p q))
-but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_3 : DecidableEq.{succ u1} σ] (p : MvPolynomial.{u1, u2} σ R _inst_1) (q : MvPolynomial.{u1, u2} σ R _inst_1), HasSubset.Subset.{u1} (Finset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (Finset.instHasSubsetFinset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (SDiff.sdiff.{u1} (Finset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (Finset.instSDiffFinset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (fun (a : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (b : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => Finsupp.decidableEq.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) (fun (a : σ) (b : σ) => _inst_3 a b) (fun (a : Nat) (b : Nat) => instDecidableEqNat a b) a b)) (MvPolynomial.support.{u2, u1} R σ _inst_1 p) (MvPolynomial.support.{u2, u1} R σ _inst_1 q)) (MvPolynomial.support.{u2, u1} R σ _inst_1 (HAdd.hAdd.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (instHAdd.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Distrib.toAdd.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) p q))
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.support_sdiff_support_subset_support_add MvPolynomial.support_sdiff_support_subset_support_addₓ'. -/
 theorem support_sdiff_support_subset_support_add [DecidableEq σ] (p q : MvPolynomial σ R) :
     p.support \ q.support ⊆ (p + q).support :=
   by
@@ -1221,12 +753,6 @@ theorem support_sdiff_support_subset_support_add [DecidableEq σ] (p q : MvPolyn
   simp [hm.2, hm.1]
 #align mv_polynomial.support_sdiff_support_subset_support_add MvPolynomial.support_sdiff_support_subset_support_add
 
-/- warning: mv_polynomial.support_symm_diff_support_subset_support_add -> MvPolynomial.support_symmDiff_support_subset_support_add is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_3 : DecidableEq.{succ u2} σ] (p : MvPolynomial.{u2, u1} σ R _inst_1) (q : MvPolynomial.{u2, u1} σ R _inst_1), HasSubset.Subset.{u2} (Finset.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (Finset.hasSubset.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (symmDiff.{u2} (Finset.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (SemilatticeSup.toHasSup.{u2} (Finset.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (Lattice.toSemilatticeSup.{u2} (Finset.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (Finset.lattice.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (fun (a : Finsupp.{u2, 0} σ Nat Nat.hasZero) (b : Finsupp.{u2, 0} σ Nat Nat.hasZero) => Finsupp.decidableEq.{u2, 0} σ Nat Nat.hasZero (fun (a : σ) (b : σ) => _inst_3 a b) (fun (a : Nat) (b : Nat) => Nat.decidableEq a b) a b)))) (Finset.hasSdiff.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (fun (a : Finsupp.{u2, 0} σ Nat Nat.hasZero) (b : Finsupp.{u2, 0} σ Nat Nat.hasZero) => Finsupp.decidableEq.{u2, 0} σ Nat Nat.hasZero (fun (a : σ) (b : σ) => _inst_3 a b) (fun (a : Nat) (b : Nat) => Nat.decidableEq a b) a b)) (MvPolynomial.support.{u1, u2} R σ _inst_1 p) (MvPolynomial.support.{u1, u2} R σ _inst_1 q)) (MvPolynomial.support.{u1, u2} R σ _inst_1 (HAdd.hAdd.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (instHAdd.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Distrib.toHasAdd.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))) p q))
-but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_3 : DecidableEq.{succ u1} σ] (p : MvPolynomial.{u1, u2} σ R _inst_1) (q : MvPolynomial.{u1, u2} σ R _inst_1), HasSubset.Subset.{u1} (Finset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (Finset.instHasSubsetFinset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (symmDiff.{u1} (Finset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (SemilatticeSup.toSup.{u1} (Finset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (Lattice.toSemilatticeSup.{u1} (Finset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (Finset.instLatticeFinset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (fun (a : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (b : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => Finsupp.decidableEq.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) (fun (a : σ) (b : σ) => _inst_3 a b) (fun (a : Nat) (b : Nat) => instDecidableEqNat a b) a b)))) (Finset.instSDiffFinset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (fun (a : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (b : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => Finsupp.decidableEq.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) (fun (a : σ) (b : σ) => _inst_3 a b) (fun (a : Nat) (b : Nat) => instDecidableEqNat a b) a b)) (MvPolynomial.support.{u2, u1} R σ _inst_1 p) (MvPolynomial.support.{u2, u1} R σ _inst_1 q)) (MvPolynomial.support.{u2, u1} R σ _inst_1 (HAdd.hAdd.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (instHAdd.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Distrib.toAdd.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) p q))
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.support_symm_diff_support_subset_support_add MvPolynomial.support_symmDiff_support_subset_support_addₓ'. -/
 theorem support_symmDiff_support_subset_support_add [DecidableEq σ] (p q : MvPolynomial σ R) :
     p.support ∆ q.support ⊆ (p + q).support :=
   by
@@ -1237,9 +763,6 @@ theorem support_symmDiff_support_subset_support_add [DecidableEq σ] (p q : MvPo
     exact support_sdiff_support_subset_support_add q p
 #align mv_polynomial.support_symm_diff_support_subset_support_add MvPolynomial.support_symmDiff_support_subset_support_add
 
-/- warning: mv_polynomial.coeff_mul_monomial' -> MvPolynomial.coeff_mul_monomial' is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.coeff_mul_monomial' MvPolynomial.coeff_mul_monomial'ₓ'. -/
 theorem coeff_mul_monomial' (m) (s : σ →₀ ℕ) (r : R) (p : MvPolynomial σ R) :
     coeff m (p * monomial s r) = if s ≤ m then coeff (m - s) p * r else 0 := by
   classical
@@ -1258,9 +781,6 @@ theorem coeff_mul_monomial' (m) (s : σ →₀ ℕ) (r : R) (p : MvPolynomial σ
       exact le_add_left le_rfl
 #align mv_polynomial.coeff_mul_monomial' MvPolynomial.coeff_mul_monomial'
 
-/- warning: mv_polynomial.coeff_monomial_mul' -> MvPolynomial.coeff_monomial_mul' is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.coeff_monomial_mul' MvPolynomial.coeff_monomial_mul'ₓ'. -/
 theorem coeff_monomial_mul' (m) (s : σ →₀ ℕ) (r : R) (p : MvPolynomial σ R) :
     coeff m (monomial s r * p) = if s ≤ m then r * coeff (m - s) p else 0 :=
   by
@@ -1269,12 +789,6 @@ theorem coeff_monomial_mul' (m) (s : σ →₀ ℕ) (r : R) (p : MvPolynomial σ
   exact coeff_mul_monomial' _ _ _ _
 #align mv_polynomial.coeff_monomial_mul' MvPolynomial.coeff_monomial_mul'
 
-/- warning: mv_polynomial.coeff_mul_X' -> MvPolynomial.coeff_mul_X' is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_3 : DecidableEq.{succ u2} σ] (m : Finsupp.{u2, 0} σ Nat Nat.hasZero) (s : σ) (p : MvPolynomial.{u2, u1} σ R _inst_1), Eq.{succ u1} R (MvPolynomial.coeff.{u1, u2} R σ _inst_1 m (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Distrib.toHasMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))) p (MvPolynomial.X.{u1, u2} R σ _inst_1 s))) (ite.{succ u1} R (Membership.Mem.{u2, u2} σ (Finset.{u2} σ) (Finset.hasMem.{u2} σ) s (Finsupp.support.{u2, 0} σ Nat Nat.hasZero m)) (Finset.decidableMem.{u2} σ (fun (a : σ) (b : σ) => _inst_3 a b) s (Finsupp.support.{u2, 0} σ Nat Nat.hasZero m)) (MvPolynomial.coeff.{u1, u2} R σ _inst_1 (HSub.hSub.{u2, u2, u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.{u2, 0} σ Nat Nat.hasZero) (instHSub.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.tsub.{u2, 0} σ Nat (CanonicallyOrderedCommSemiring.toCanonicallyOrderedAddMonoid.{0} Nat Nat.canonicallyOrderedCommSemiring) Nat.hasSub Nat.orderedSub)) m (Finsupp.single.{u2, 0} σ Nat Nat.hasZero s (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) p) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))))))
-but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_3 : DecidableEq.{succ u1} σ] (m : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (s : σ) (p : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{succ u2} R (MvPolynomial.coeff.{u2, u1} R σ _inst_1 m (HMul.hMul.{max u2 u1, max u1 u2, max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) p (MvPolynomial.X.{u2, u1} R σ _inst_1 s))) (ite.{succ u2} R (Membership.mem.{u1, u1} σ (Finset.{u1} σ) (Finset.instMembershipFinset.{u1} σ) s (Finsupp.support.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) m)) (Finset.decidableMem.{u1} σ (fun (a : σ) (b : σ) => _inst_3 a b) s (Finsupp.support.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) m)) (MvPolynomial.coeff.{u2, u1} R σ _inst_1 (HSub.hSub.{u1, u1, u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (instHSub.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.tsub.{u1, 0} σ Nat (CanonicallyOrderedCommSemiring.toCanonicallyOrderedAddMonoid.{0} Nat Nat.canonicallyOrderedCommSemiring) instSubNat Nat.instOrderedSubNatInstLENatInstAddNatInstSubNat)) m (Finsupp.single.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) s (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) p) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1)))))
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.coeff_mul_X' MvPolynomial.coeff_mul_X'ₓ'. -/
 theorem coeff_mul_X' [DecidableEq σ] (m) (s : σ) (p : MvPolynomial σ R) :
     coeff m (p * X s) = if s ∈ m.support then coeff (m - single s 1) p else 0 :=
   by
@@ -1283,12 +797,6 @@ theorem coeff_mul_X' [DecidableEq σ] (m) (s : σ) (p : MvPolynomial σ R) :
     mul_one]
 #align mv_polynomial.coeff_mul_X' MvPolynomial.coeff_mul_X'
 
-/- warning: mv_polynomial.coeff_X_mul' -> MvPolynomial.coeff_X_mul' is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_3 : DecidableEq.{succ u2} σ] (m : Finsupp.{u2, 0} σ Nat Nat.hasZero) (s : σ) (p : MvPolynomial.{u2, u1} σ R _inst_1), Eq.{succ u1} R (MvPolynomial.coeff.{u1, u2} R σ _inst_1 m (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Distrib.toHasMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))) (MvPolynomial.X.{u1, u2} R σ _inst_1 s) p)) (ite.{succ u1} R (Membership.Mem.{u2, u2} σ (Finset.{u2} σ) (Finset.hasMem.{u2} σ) s (Finsupp.support.{u2, 0} σ Nat Nat.hasZero m)) (Finset.decidableMem.{u2} σ (fun (a : σ) (b : σ) => _inst_3 a b) s (Finsupp.support.{u2, 0} σ Nat Nat.hasZero m)) (MvPolynomial.coeff.{u1, u2} R σ _inst_1 (HSub.hSub.{u2, u2, u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.{u2, 0} σ Nat Nat.hasZero) (instHSub.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.tsub.{u2, 0} σ Nat (CanonicallyOrderedCommSemiring.toCanonicallyOrderedAddMonoid.{0} Nat Nat.canonicallyOrderedCommSemiring) Nat.hasSub Nat.orderedSub)) m (Finsupp.single.{u2, 0} σ Nat Nat.hasZero s (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) p) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))))))
-but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_3 : DecidableEq.{succ u1} σ] (m : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (s : σ) (p : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{succ u2} R (MvPolynomial.coeff.{u2, u1} R σ _inst_1 m (HMul.hMul.{max u1 u2, max u2 u1, max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (instHMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (MvPolynomial.X.{u2, u1} R σ _inst_1 s) p)) (ite.{succ u2} R (Membership.mem.{u1, u1} σ (Finset.{u1} σ) (Finset.instMembershipFinset.{u1} σ) s (Finsupp.support.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) m)) (Finset.decidableMem.{u1} σ (fun (a : σ) (b : σ) => _inst_3 a b) s (Finsupp.support.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) m)) (MvPolynomial.coeff.{u2, u1} R σ _inst_1 (HSub.hSub.{u1, u1, u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (instHSub.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.tsub.{u1, 0} σ Nat (CanonicallyOrderedCommSemiring.toCanonicallyOrderedAddMonoid.{0} Nat Nat.canonicallyOrderedCommSemiring) instSubNat Nat.instOrderedSubNatInstLENatInstAddNatInstSubNat)) m (Finsupp.single.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) s (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) p) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1)))))
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.coeff_X_mul' MvPolynomial.coeff_X_mul'ₓ'. -/
 theorem coeff_X_mul' [DecidableEq σ] (m) (s : σ) (p : MvPolynomial σ R) :
     coeff m (X s * p) = if s ∈ m.support then coeff (m - single s 1) p else 0 :=
   by
@@ -1297,53 +805,23 @@ theorem coeff_X_mul' [DecidableEq σ] (m) (s : σ) (p : MvPolynomial σ R) :
     one_mul]
 #align mv_polynomial.coeff_X_mul' MvPolynomial.coeff_X_mul'
 
-/- warning: mv_polynomial.eq_zero_iff -> MvPolynomial.eq_zero_iff is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {p : MvPolynomial.{u2, u1} σ R _inst_1}, Iff (Eq.{max (succ u2) (succ u1)} (MvPolynomial.{u2, u1} σ R _inst_1) p (OfNat.ofNat.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) 0 (OfNat.mk.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) 0 (Zero.zero.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MulZeroClass.toHasZero.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toMulZeroClass.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))))))))) (forall (d : Finsupp.{u2, 0} σ Nat Nat.hasZero), Eq.{succ u1} R (MvPolynomial.coeff.{u1, u2} R σ _inst_1 d p) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))))))
-but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] {p : MvPolynomial.{u1, u2} σ R _inst_1}, Iff (Eq.{max (succ u2) (succ u1)} (MvPolynomial.{u1, u2} σ R _inst_1) p (OfNat.ofNat.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) 0 (Zero.toOfNat0.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommMonoidWithZero.toZero.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toCommMonoidWithZero.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (forall (d : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)), Eq.{succ u2} R (MvPolynomial.coeff.{u2, u1} R σ _inst_1 d p) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1)))))
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.eq_zero_iff MvPolynomial.eq_zero_iffₓ'. -/
 theorem eq_zero_iff {p : MvPolynomial σ R} : p = 0 ↔ ∀ d, coeff d p = 0 := by rw [ext_iff];
   simp only [coeff_zero]
 #align mv_polynomial.eq_zero_iff MvPolynomial.eq_zero_iff
 
-/- warning: mv_polynomial.ne_zero_iff -> MvPolynomial.ne_zero_iff is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {p : MvPolynomial.{u2, u1} σ R _inst_1}, Iff (Ne.{max (succ u2) (succ u1)} (MvPolynomial.{u2, u1} σ R _inst_1) p (OfNat.ofNat.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) 0 (OfNat.mk.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) 0 (Zero.zero.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MulZeroClass.toHasZero.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toMulZeroClass.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))))))))) (Exists.{succ u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (fun (d : Finsupp.{u2, 0} σ Nat Nat.hasZero) => Ne.{succ u1} R (MvPolynomial.coeff.{u1, u2} R σ _inst_1 d p) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))))))))
-but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] {p : MvPolynomial.{u1, u2} σ R _inst_1}, Iff (Ne.{max (succ u2) (succ u1)} (MvPolynomial.{u1, u2} σ R _inst_1) p (OfNat.ofNat.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) 0 (Zero.toOfNat0.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommMonoidWithZero.toZero.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toCommMonoidWithZero.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (Exists.{succ u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (fun (d : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => Ne.{succ u2} R (MvPolynomial.coeff.{u2, u1} R σ _inst_1 d p) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))))))
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.ne_zero_iff MvPolynomial.ne_zero_iffₓ'. -/
 theorem ne_zero_iff {p : MvPolynomial σ R} : p ≠ 0 ↔ ∃ d, coeff d p ≠ 0 := by
   rw [Ne.def, eq_zero_iff]; push_neg
 #align mv_polynomial.ne_zero_iff MvPolynomial.ne_zero_iff
 
-/- warning: mv_polynomial.support_eq_empty -> MvPolynomial.support_eq_empty is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {p : MvPolynomial.{u2, u1} σ R _inst_1}, Iff (Eq.{succ u2} (Finset.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (MvPolynomial.support.{u1, u2} R σ _inst_1 p) (EmptyCollection.emptyCollection.{u2} (Finset.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (Finset.hasEmptyc.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)))) (Eq.{max (succ u2) (succ u1)} (MvPolynomial.{u2, u1} σ R _inst_1) p (OfNat.ofNat.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) 0 (OfNat.mk.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) 0 (Zero.zero.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MulZeroClass.toHasZero.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toMulZeroClass.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))))))
-but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] {p : MvPolynomial.{u1, u2} σ R _inst_1}, Iff (Eq.{succ u1} (Finset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (MvPolynomial.support.{u2, u1} R σ _inst_1 p) (EmptyCollection.emptyCollection.{u1} (Finset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (Finset.instEmptyCollectionFinset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))))) (Eq.{max (succ u2) (succ u1)} (MvPolynomial.{u1, u2} σ R _inst_1) p (OfNat.ofNat.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) 0 (Zero.toOfNat0.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommMonoidWithZero.toZero.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toCommMonoidWithZero.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.support_eq_empty MvPolynomial.support_eq_emptyₓ'. -/
 @[simp]
 theorem support_eq_empty {p : MvPolynomial σ R} : p.support = ∅ ↔ p = 0 :=
   Finsupp.support_eq_empty
 #align mv_polynomial.support_eq_empty MvPolynomial.support_eq_empty
 
-/- warning: mv_polynomial.exists_coeff_ne_zero -> MvPolynomial.exists_coeff_ne_zero is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {p : MvPolynomial.{u2, u1} σ R _inst_1}, (Ne.{max (succ u2) (succ u1)} (MvPolynomial.{u2, u1} σ R _inst_1) p (OfNat.ofNat.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) 0 (OfNat.mk.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) 0 (Zero.zero.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MulZeroClass.toHasZero.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toMulZeroClass.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))))))))) -> (Exists.{succ u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (fun (d : Finsupp.{u2, 0} σ Nat Nat.hasZero) => Ne.{succ u1} R (MvPolynomial.coeff.{u1, u2} R σ _inst_1 d p) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))))))))
-but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] {p : MvPolynomial.{u1, u2} σ R _inst_1}, (Ne.{max (succ u2) (succ u1)} (MvPolynomial.{u1, u2} σ R _inst_1) p (OfNat.ofNat.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) 0 (Zero.toOfNat0.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommMonoidWithZero.toZero.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toCommMonoidWithZero.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) -> (Exists.{succ u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (fun (d : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => Ne.{succ u2} R (MvPolynomial.coeff.{u2, u1} R σ _inst_1 d p) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))))))
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.exists_coeff_ne_zero MvPolynomial.exists_coeff_ne_zeroₓ'. -/
 theorem exists_coeff_ne_zero {p : MvPolynomial σ R} (h : p ≠ 0) : ∃ d, coeff d p ≠ 0 :=
   ne_zero_iff.mp h
 #align mv_polynomial.exists_coeff_ne_zero MvPolynomial.exists_coeff_ne_zero
 
-/- warning: mv_polynomial.C_dvd_iff_dvd_coeff -> MvPolynomial.C_dvd_iff_dvd_coeff is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] (r : R) (φ : MvPolynomial.{u2, u1} σ R _inst_1), Iff (Dvd.Dvd.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (semigroupDvd.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (SemigroupWithZero.toSemigroup.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalSemiring.toSemigroupWithZero.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalCommSemiring.toNonUnitalSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toNonUnitalCommSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))))) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (fun (_x : RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (MvPolynomial.C.{u1, u2} R σ _inst_1) r) φ) (forall (i : Finsupp.{u2, 0} σ Nat Nat.hasZero), Dvd.Dvd.{u1} R (semigroupDvd.{u1} R (SemigroupWithZero.toSemigroup.{u1} R (NonUnitalSemiring.toSemigroupWithZero.{u1} R (NonUnitalCommSemiring.toNonUnitalSemiring.{u1} R (CommSemiring.toNonUnitalCommSemiring.{u1} R _inst_1))))) r (MvPolynomial.coeff.{u1, u2} R σ _inst_1 i φ))
-but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] (r : R) (φ : MvPolynomial.{u1, u2} σ R _inst_1), Iff (Dvd.dvd.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) r) (semigroupDvd.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) r) (SemigroupWithZero.toSemigroup.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) r) (NonUnitalSemiring.toSemigroupWithZero.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) r) (NonUnitalCommSemiring.toNonUnitalSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) r) (CommSemiring.toNonUnitalCommSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) r) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) r) φ) (forall (i : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)), Dvd.dvd.{u2} R (semigroupDvd.{u2} R (SemigroupWithZero.toSemigroup.{u2} R (NonUnitalSemiring.toSemigroupWithZero.{u2} R (NonUnitalCommSemiring.toNonUnitalSemiring.{u2} R (CommSemiring.toNonUnitalCommSemiring.{u2} R _inst_1))))) r (MvPolynomial.coeff.{u2, u1} R σ _inst_1 i φ))
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.C_dvd_iff_dvd_coeff MvPolynomial.C_dvd_iff_dvd_coeffₓ'. -/
 theorem C_dvd_iff_dvd_coeff (r : R) (φ : MvPolynomial σ R) : C r ∣ φ ↔ ∀ i, r ∣ φ.coeff i :=
   by
   constructor
@@ -1380,21 +858,12 @@ def constantCoeff : MvPolynomial σ R →+* R
 #align mv_polynomial.constant_coeff MvPolynomial.constantCoeff
 -/
 
-/- warning: mv_polynomial.constant_coeff_eq -> MvPolynomial.constantCoeff_eq is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R], Eq.{max (succ u2) (succ u1)} ((fun (_x : RingHom.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) => (MvPolynomial.{u2, u1} σ R _inst_1) -> R) (MvPolynomial.constantCoeff.{u1, u2} R σ _inst_1)) (coeFn.{max (succ (max u2 u1)) (succ u1), max (succ (max u2 u1)) (succ u1)} (RingHom.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (fun (_x : RingHom.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) => (MvPolynomial.{u2, u1} σ R _inst_1) -> R) (RingHom.hasCoeToFun.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.constantCoeff.{u1, u2} R σ _inst_1)) (MvPolynomial.coeff.{u1, u2} R σ _inst_1 (OfNat.ofNat.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) 0 (OfNat.mk.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) 0 (Zero.zero.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.zero.{u2, 0} σ Nat Nat.hasZero)))))
-but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R], Eq.{max (succ u2) (succ u1)} (forall (a : MvPolynomial.{u1, u2} σ R _inst_1), (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) a) (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), succ u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) _x) (MulHomClass.toFunLike.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (RingHom.instRingHomClassRingHom.{max u1 u2, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))))) (MvPolynomial.constantCoeff.{u2, u1} R σ _inst_1)) (MvPolynomial.coeff.{u2, u1} R σ _inst_1 (OfNat.ofNat.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) 0 (Zero.toOfNat0.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.zero.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)))))
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.constant_coeff_eq MvPolynomial.constantCoeff_eqₓ'. -/
 theorem constantCoeff_eq : (constantCoeff : MvPolynomial σ R → R) = coeff 0 :=
   rfl
 #align mv_polynomial.constant_coeff_eq MvPolynomial.constantCoeff_eq
 
 variable (σ)
 
-/- warning: mv_polynomial.constant_coeff_C -> MvPolynomial.constantCoeff_C is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.constant_coeff_C MvPolynomial.constantCoeff_Cₓ'. -/
 @[simp]
 theorem constantCoeff_C (r : R) : constantCoeff (C r : MvPolynomial σ R) = r := by
   simp [constant_coeff_eq]
@@ -1404,12 +873,6 @@ variable {σ}
 
 variable (R)
 
-/- warning: mv_polynomial.constant_coeff_X -> MvPolynomial.constantCoeff_X is a dubious translation:
-lean 3 declaration is
-  forall (R : Type.{u1}) {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] (i : σ), Eq.{succ u1} R (coeFn.{max (succ (max u2 u1)) (succ u1), max (succ (max u2 u1)) (succ u1)} (RingHom.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (fun (_x : RingHom.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) => (MvPolynomial.{u2, u1} σ R _inst_1) -> R) (RingHom.hasCoeToFun.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.constantCoeff.{u1, u2} R σ _inst_1) (MvPolynomial.X.{u1, u2} R σ _inst_1 i)) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))))))
-but is expected to have type
-  forall (R : Type.{u2}) {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] (i : σ), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) (MvPolynomial.X.{u2, u1} R σ _inst_1 i)) (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), succ u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) _x) (MulHomClass.toFunLike.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (RingHom.instRingHomClassRingHom.{max u1 u2, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))))) (MvPolynomial.constantCoeff.{u2, u1} R σ _inst_1) (MvPolynomial.X.{u2, u1} R σ _inst_1 i)) (OfNat.ofNat.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) (MvPolynomial.X.{u2, u1} R σ _inst_1 i)) 0 (Zero.toOfNat0.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) (MvPolynomial.X.{u2, u1} R σ _inst_1 i)) (CommMonoidWithZero.toZero.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) (MvPolynomial.X.{u2, u1} R σ _inst_1 i)) (CommSemiring.toCommMonoidWithZero.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) (MvPolynomial.X.{u2, u1} R σ _inst_1 i)) _inst_1))))
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.constant_coeff_X MvPolynomial.constantCoeff_Xₓ'. -/
 @[simp]
 theorem constantCoeff_X (i : σ) : constantCoeff (X i : MvPolynomial σ R) = 0 := by
   simp [constant_coeff_eq]
@@ -1417,18 +880,12 @@ theorem constantCoeff_X (i : σ) : constantCoeff (X i : MvPolynomial σ R) = 0 :
 
 variable {R}
 
-/- warning: mv_polynomial.constant_coeff_smul -> MvPolynomial.constantCoeff_smul is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.constant_coeff_smul MvPolynomial.constantCoeff_smulₓ'. -/
 @[simp]
 theorem constantCoeff_smul {R : Type _} [SMulZeroClass R S₁] (a : R) (f : MvPolynomial σ S₁) :
     constantCoeff (a • f) = a • constantCoeff f :=
   rfl
 #align mv_polynomial.constant_coeff_smul MvPolynomial.constantCoeff_smul
 
-/- warning: mv_polynomial.constant_coeff_monomial -> MvPolynomial.constantCoeff_monomial is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.constant_coeff_monomial MvPolynomial.constantCoeff_monomialₓ'. -/
 theorem constantCoeff_monomial [DecidableEq σ] (d : σ →₀ ℕ) (r : R) :
     constantCoeff (monomial d r) = if d = 0 then r else 0 := by
   rw [constant_coeff_eq, coeff_monomial]
@@ -1436,23 +893,11 @@ theorem constantCoeff_monomial [DecidableEq σ] (d : σ →₀ ℕ) (r : R) :
 
 variable (σ R)
 
-/- warning: mv_polynomial.constant_coeff_comp_C -> MvPolynomial.constantCoeff_comp_C is a dubious translation:
-lean 3 declaration is
-  forall (R : Type.{u1}) (σ : Type.{u2}) [_inst_1 : CommSemiring.{u1} R], Eq.{succ u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.comp.{u1, max u2 u1, u1} R (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.constantCoeff.{u1, u2} R σ _inst_1) (MvPolynomial.C.{u1, u2} R σ _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))
-but is expected to have type
-  forall (R : Type.{u2}) (σ : Type.{u1}) [_inst_1 : CommSemiring.{u2} R], Eq.{succ u2} (RingHom.{u2, u2} R R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.comp.{u2, max u1 u2, u2} R (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.constantCoeff.{u2, u1} R σ _inst_1) (MvPolynomial.C.{u2, u1} R σ _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.constant_coeff_comp_C MvPolynomial.constantCoeff_comp_Cₓ'. -/
 @[simp]
 theorem constantCoeff_comp_C : constantCoeff.comp (C : R →+* MvPolynomial σ R) = RingHom.id R := by
   ext x; exact constant_coeff_C σ x
 #align mv_polynomial.constant_coeff_comp_C MvPolynomial.constantCoeff_comp_C
 
-/- warning: mv_polynomial.constant_coeff_comp_algebra_map -> MvPolynomial.constantCoeff_comp_algebraMap is a dubious translation:
-lean 3 declaration is
-  forall (R : Type.{u1}) (σ : Type.{u2}) [_inst_1 : CommSemiring.{u1} R], Eq.{succ u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.comp.{u1, max u2 u1, u1} R (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.constantCoeff.{u1, u2} R σ _inst_1) (algebraMap.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))
-but is expected to have type
-  forall (R : Type.{u2}) (σ : Type.{u1}) [_inst_1 : CommSemiring.{u2} R], Eq.{succ u2} (RingHom.{u2, u2} R R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.comp.{u2, max u1 u2, u2} R (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.constantCoeff.{u2, u1} R σ _inst_1) (algebraMap.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.constant_coeff_comp_algebra_map MvPolynomial.constantCoeff_comp_algebraMapₓ'. -/
 @[simp]
 theorem constantCoeff_comp_algebraMap :
     constantCoeff.comp (algebraMap R (MvPolynomial σ R)) = RingHom.id R :=
@@ -1463,24 +908,12 @@ end ConstantCoeff
 
 section AsSum
 
-/- warning: mv_polynomial.support_sum_monomial_coeff -> MvPolynomial.support_sum_monomial_coeff is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] (p : MvPolynomial.{u2, u1} σ R _inst_1), Eq.{succ (max u2 u1)} (MvPolynomial.{u2, u1} σ R _inst_1) (Finset.sum.{max u2 u1, u2} (MvPolynomial.{u2, u1} σ R _inst_1) (Finsupp.{u2, 0} σ Nat Nat.hasZero) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (MvPolynomial.support.{u1, u2} R σ _inst_1 p) (fun (v : Finsupp.{u2, 0} σ Nat Nat.hasZero) => coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 v) (MvPolynomial.coeff.{u1, u2} R σ _inst_1 v p))) p
-but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] (p : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{max (succ u2) (succ u1)} (MvPolynomial.{u1, u2} σ R _inst_1) (Finset.sum.{max u2 u1, u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (MvPolynomial.support.{u2, u1} R σ _inst_1 p) (fun (v : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 v) (MvPolynomial.coeff.{u2, u1} R σ _inst_1 v p))) p
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.support_sum_monomial_coeff MvPolynomial.support_sum_monomial_coeffₓ'. -/
 @[simp]
 theorem support_sum_monomial_coeff (p : MvPolynomial σ R) :
     (∑ v in p.support, monomial v (coeff v p)) = p :=
   Finsupp.sum_single p
 #align mv_polynomial.support_sum_monomial_coeff MvPolynomial.support_sum_monomial_coeff
 
-/- warning: mv_polynomial.as_sum -> MvPolynomial.as_sum is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] (p : MvPolynomial.{u2, u1} σ R _inst_1), Eq.{max (succ u2) (succ u1)} (MvPolynomial.{u2, u1} σ R _inst_1) p (Finset.sum.{max u2 u1, u2} (MvPolynomial.{u2, u1} σ R _inst_1) (Finsupp.{u2, 0} σ Nat Nat.hasZero) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (MvPolynomial.support.{u1, u2} R σ _inst_1 p) (fun (v : Finsupp.{u2, 0} σ Nat Nat.hasZero) => coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 v) (MvPolynomial.coeff.{u1, u2} R σ _inst_1 v p)))
-but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] (p : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{max (succ u2) (succ u1)} (MvPolynomial.{u1, u2} σ R _inst_1) p (Finset.sum.{max u2 u1, u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (MvPolynomial.support.{u2, u1} R σ _inst_1 p) (fun (v : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 v) (MvPolynomial.coeff.{u2, u1} R σ _inst_1 v p)))
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.as_sum MvPolynomial.as_sumₓ'. -/
 theorem as_sum (p : MvPolynomial σ R) : p = ∑ v in p.support, monomial v (coeff v p) :=
   (support_sum_monomial_coeff p).symm
 #align mv_polynomial.as_sum MvPolynomial.as_sum
@@ -1499,34 +932,16 @@ def eval₂ (p : MvPolynomial σ R) : S₁ :=
 #align mv_polynomial.eval₂ MvPolynomial.eval₂
 -/
 
-/- warning: mv_polynomial.eval₂_eq -> MvPolynomial.eval₂_eq is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {S₁ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] (g : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (x : σ -> S₁) (f : MvPolynomial.{u3, u1} σ R _inst_1), Eq.{succ u2} S₁ (MvPolynomial.eval₂.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 g x f) (Finset.sum.{u2, u3} S₁ (Finsupp.{u3, 0} σ Nat Nat.hasZero) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S₁ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)))) (MvPolynomial.support.{u1, u3} R σ _inst_1 f) (fun (d : Finsupp.{u3, 0} σ Nat Nat.hasZero) => HMul.hMul.{u2, u2, u2} S₁ S₁ S₁ (instHMul.{u2} S₁ (Distrib.toHasMul.{u2} S₁ (NonUnitalNonAssocSemiring.toDistrib.{u2} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S₁ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)))))) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (fun (_x : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) => R -> S₁) (RingHom.hasCoeToFun.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) g (MvPolynomial.coeff.{u1, u3} R σ _inst_1 d f)) (Finset.prod.{u2, u3} S₁ σ (CommSemiring.toCommMonoid.{u2} S₁ _inst_2) (Finsupp.support.{u3, 0} σ Nat Nat.hasZero d) (fun (i : σ) => HPow.hPow.{u2, 0, u2} S₁ Nat S₁ (instHPow.{u2, 0} S₁ Nat (Monoid.Pow.{u2} S₁ (MonoidWithZero.toMonoid.{u2} S₁ (Semiring.toMonoidWithZero.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))))) (x i) (coeFn.{succ u3, succ u3} (Finsupp.{u3, 0} σ Nat Nat.hasZero) (fun (_x : Finsupp.{u3, 0} σ Nat Nat.hasZero) => σ -> Nat) (Finsupp.coeFun.{u3, 0} σ Nat Nat.hasZero) d i)))))
-but is expected to have type
-  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] (g : RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (x : σ -> S₁) (f : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{succ u3} S₁ (MvPolynomial.eval₂.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 g x f) (Finset.sum.{u3, u1} S₁ (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (MvPolynomial.support.{u2, u1} R σ _inst_1 f) (fun (d : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => HMul.hMul.{u3, u3, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) (MvPolynomial.coeff.{u2, u1} R σ _inst_1 d f)) S₁ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) (MvPolynomial.coeff.{u2, u1} R σ _inst_1 d f)) (instHMul.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) (MvPolynomial.coeff.{u2, u1} R σ _inst_1 d f)) (NonUnitalNonAssocSemiring.toMul.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) (MvPolynomial.coeff.{u2, u1} R σ _inst_1 d f)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) (MvPolynomial.coeff.{u2, u1} R σ _inst_1 d f)) (Semiring.toNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) (MvPolynomial.coeff.{u2, u1} R σ _inst_1 d f)) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) (MvPolynomial.coeff.{u2, u1} R σ _inst_1 d f)) _inst_2))))) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) _x) (MulHomClass.toFunLike.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) g (MvPolynomial.coeff.{u2, u1} R σ _inst_1 d f)) (Finset.prod.{u3, u1} S₁ σ (CommSemiring.toCommMonoid.{u3} S₁ _inst_2) (Finsupp.support.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) d) (fun (i : σ) => HPow.hPow.{u3, 0, u3} S₁ ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : σ) => Nat) i) S₁ (instHPow.{u3, 0} S₁ ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : σ) => Nat) i) (Monoid.Pow.{u3} S₁ (MonoidWithZero.toMonoid.{u3} S₁ (Semiring.toMonoidWithZero.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))))) (x i) (FunLike.coe.{succ u1, succ u1, 1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) σ (fun (_x : σ) => (fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : σ) => Nat) _x) (Finsupp.funLike.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) d i)))))
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval₂_eq MvPolynomial.eval₂_eqₓ'. -/
 theorem eval₂_eq (g : R →+* S₁) (x : σ → S₁) (f : MvPolynomial σ R) :
     f.eval₂ g x = ∑ d in f.support, g (f.coeff d) * ∏ i in d.support, x i ^ d i :=
   rfl
 #align mv_polynomial.eval₂_eq MvPolynomial.eval₂_eq
 
-/- warning: mv_polynomial.eval₂_eq' -> MvPolynomial.eval₂_eq' is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {S₁ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] [_inst_3 : Fintype.{u3} σ] (g : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (x : σ -> S₁) (f : MvPolynomial.{u3, u1} σ R _inst_1), Eq.{succ u2} S₁ (MvPolynomial.eval₂.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 g x f) (Finset.sum.{u2, u3} S₁ (Finsupp.{u3, 0} σ Nat Nat.hasZero) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S₁ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)))) (MvPolynomial.support.{u1, u3} R σ _inst_1 f) (fun (d : Finsupp.{u3, 0} σ Nat Nat.hasZero) => HMul.hMul.{u2, u2, u2} S₁ S₁ S₁ (instHMul.{u2} S₁ (Distrib.toHasMul.{u2} S₁ (NonUnitalNonAssocSemiring.toDistrib.{u2} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S₁ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)))))) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (fun (_x : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) => R -> S₁) (RingHom.hasCoeToFun.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) g (MvPolynomial.coeff.{u1, u3} R σ _inst_1 d f)) (Finset.prod.{u2, u3} S₁ σ (CommSemiring.toCommMonoid.{u2} S₁ _inst_2) (Finset.univ.{u3} σ _inst_3) (fun (i : σ) => HPow.hPow.{u2, 0, u2} S₁ Nat S₁ (instHPow.{u2, 0} S₁ Nat (Monoid.Pow.{u2} S₁ (MonoidWithZero.toMonoid.{u2} S₁ (Semiring.toMonoidWithZero.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))))) (x i) (coeFn.{succ u3, succ u3} (Finsupp.{u3, 0} σ Nat Nat.hasZero) (fun (_x : Finsupp.{u3, 0} σ Nat Nat.hasZero) => σ -> Nat) (Finsupp.coeFun.{u3, 0} σ Nat Nat.hasZero) d i)))))
-but is expected to have type
-  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] [_inst_3 : Fintype.{u1} σ] (g : RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (x : σ -> S₁) (f : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{succ u3} S₁ (MvPolynomial.eval₂.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 g x f) (Finset.sum.{u3, u1} S₁ (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (MvPolynomial.support.{u2, u1} R σ _inst_1 f) (fun (d : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => HMul.hMul.{u3, u3, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) (MvPolynomial.coeff.{u2, u1} R σ _inst_1 d f)) S₁ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) (MvPolynomial.coeff.{u2, u1} R σ _inst_1 d f)) (instHMul.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) (MvPolynomial.coeff.{u2, u1} R σ _inst_1 d f)) (NonUnitalNonAssocSemiring.toMul.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) (MvPolynomial.coeff.{u2, u1} R σ _inst_1 d f)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) (MvPolynomial.coeff.{u2, u1} R σ _inst_1 d f)) (Semiring.toNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) (MvPolynomial.coeff.{u2, u1} R σ _inst_1 d f)) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) (MvPolynomial.coeff.{u2, u1} R σ _inst_1 d f)) _inst_2))))) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) _x) (MulHomClass.toFunLike.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) g (MvPolynomial.coeff.{u2, u1} R σ _inst_1 d f)) (Finset.prod.{u3, u1} S₁ σ (CommSemiring.toCommMonoid.{u3} S₁ _inst_2) (Finset.univ.{u1} σ _inst_3) (fun (i : σ) => HPow.hPow.{u3, 0, u3} S₁ ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : σ) => Nat) i) S₁ (instHPow.{u3, 0} S₁ ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : σ) => Nat) i) (Monoid.Pow.{u3} S₁ (MonoidWithZero.toMonoid.{u3} S₁ (Semiring.toMonoidWithZero.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))))) (x i) (FunLike.coe.{succ u1, succ u1, 1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) σ (fun (_x : σ) => (fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : σ) => Nat) _x) (Finsupp.funLike.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) d i)))))
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval₂_eq' MvPolynomial.eval₂_eq'ₓ'. -/
 theorem eval₂_eq' [Fintype σ] (g : R →+* S₁) (x : σ → S₁) (f : MvPolynomial σ R) :
     f.eval₂ g x = ∑ d in f.support, g (f.coeff d) * ∏ i, x i ^ d i := by
   simp only [eval₂_eq, ← Finsupp.prod_pow]; rfl
 #align mv_polynomial.eval₂_eq' MvPolynomial.eval₂_eq'
 
-/- warning: mv_polynomial.eval₂_zero -> MvPolynomial.eval₂_zero is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {S₁ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] (f : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (g : σ -> S₁), Eq.{succ u2} S₁ (MvPolynomial.eval₂.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 f g (OfNat.ofNat.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) 0 (OfNat.mk.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) 0 (Zero.zero.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MulZeroClass.toHasZero.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toMulZeroClass.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)))))))))) (OfNat.ofNat.{u2} S₁ 0 (OfNat.mk.{u2} S₁ 0 (Zero.zero.{u2} S₁ (MulZeroClass.toHasZero.{u2} S₁ (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S₁ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))))))))
-but is expected to have type
-  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] (f : RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (g : σ -> S₁), Eq.{succ u3} S₁ (MvPolynomial.eval₂.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f g (OfNat.ofNat.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) 0 (Zero.toOfNat0.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommMonoidWithZero.toZero.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toCommMonoidWithZero.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (OfNat.ofNat.{u3} S₁ 0 (Zero.toOfNat0.{u3} S₁ (CommMonoidWithZero.toZero.{u3} S₁ (CommSemiring.toCommMonoidWithZero.{u3} S₁ _inst_2))))
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval₂_zero MvPolynomial.eval₂_zeroₓ'. -/
 @[simp]
 theorem eval₂_zero : (0 : MvPolynomial σ R).eval₂ f g = 0 :=
   Finsupp.sum_zero_index
@@ -1534,61 +949,31 @@ theorem eval₂_zero : (0 : MvPolynomial σ R).eval₂ f g = 0 :=
 
 section
 
-/- warning: mv_polynomial.eval₂_add -> MvPolynomial.eval₂_add is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {S₁ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] {p : MvPolynomial.{u3, u1} σ R _inst_1} {q : MvPolynomial.{u3, u1} σ R _inst_1} (f : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (g : σ -> S₁), Eq.{succ u2} S₁ (MvPolynomial.eval₂.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 f g (HAdd.hAdd.{max u3 u1, max u3 u1, max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u1} σ R _inst_1) (instHAdd.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Distrib.toHasAdd.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))))) p q)) (HAdd.hAdd.{u2, u2, u2} S₁ S₁ S₁ (instHAdd.{u2} S₁ (Distrib.toHasAdd.{u2} S₁ (NonUnitalNonAssocSemiring.toDistrib.{u2} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S₁ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)))))) (MvPolynomial.eval₂.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 f g p) (MvPolynomial.eval₂.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 f g q))
-but is expected to have type
-  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] {p : MvPolynomial.{u1, u2} σ R _inst_1} {q : MvPolynomial.{u1, u2} σ R _inst_1} (f : RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (g : σ -> S₁), Eq.{succ u3} S₁ (MvPolynomial.eval₂.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f g (HAdd.hAdd.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (instHAdd.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Distrib.toAdd.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) p q)) (HAdd.hAdd.{u3, u3, u3} S₁ S₁ S₁ (instHAdd.{u3} S₁ (Distrib.toAdd.{u3} S₁ (NonUnitalNonAssocSemiring.toDistrib.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (MvPolynomial.eval₂.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f g p) (MvPolynomial.eval₂.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f g q))
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval₂_add MvPolynomial.eval₂_addₓ'. -/
 @[simp]
 theorem eval₂_add : (p + q).eval₂ f g = p.eval₂ f g + q.eval₂ f g := by
   classical exact Finsupp.sum_add_index (by simp [f.map_zero]) (by simp [add_mul, f.map_add])
 #align mv_polynomial.eval₂_add MvPolynomial.eval₂_add
 
-/- warning: mv_polynomial.eval₂_monomial -> MvPolynomial.eval₂_monomial is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval₂_monomial MvPolynomial.eval₂_monomialₓ'. -/
 @[simp]
 theorem eval₂_monomial : (monomial s a).eval₂ f g = f a * s.Prod fun n e => g n ^ e :=
   Finsupp.sum_single_index (by simp [f.map_zero])
 #align mv_polynomial.eval₂_monomial MvPolynomial.eval₂_monomial
 
-/- warning: mv_polynomial.eval₂_C -> MvPolynomial.eval₂_C is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {S₁ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] (f : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (g : σ -> S₁) (a : R), Eq.{succ u2} S₁ (MvPolynomial.eval₂.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 f g (coeFn.{max (succ u1) (succ (max u3 u1)), max (succ u1) (succ (max u3 u1))} (RingHom.{u1, max u3 u1} R (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)))) (fun (_x : RingHom.{u1, max u3 u1} R (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)))) => R -> (MvPolynomial.{u3, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{u1, max u3 u1} R (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)))) (MvPolynomial.C.{u1, u3} R σ _inst_1) a)) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (fun (_x : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) => R -> S₁) (RingHom.hasCoeToFun.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) f a)
-but is expected to have type
-  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] (f : RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (g : σ -> S₁) (a : R), Eq.{succ u3} S₁ (MvPolynomial.eval₂.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f g (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) a)) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) _x) (MulHomClass.toFunLike.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) f a)
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval₂_C MvPolynomial.eval₂_Cₓ'. -/
 @[simp]
 theorem eval₂_C (a) : (C a).eval₂ f g = f a := by
   rw [C_apply, eval₂_monomial, prod_zero_index, mul_one]
 #align mv_polynomial.eval₂_C MvPolynomial.eval₂_C
 
-/- warning: mv_polynomial.eval₂_one -> MvPolynomial.eval₂_one is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {S₁ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] (f : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (g : σ -> S₁), Eq.{succ u2} S₁ (MvPolynomial.eval₂.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 f g (OfNat.ofNat.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) 1 (OfNat.mk.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) 1 (One.one.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (AddMonoidWithOne.toOne.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (AddCommMonoidWithOne.toAddMonoidWithOne.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toAddCommMonoidWithOne.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)))))))))) (OfNat.ofNat.{u2} S₁ 1 (OfNat.mk.{u2} S₁ 1 (One.one.{u2} S₁ (AddMonoidWithOne.toOne.{u2} S₁ (AddCommMonoidWithOne.toAddMonoidWithOne.{u2} S₁ (NonAssocSemiring.toAddCommMonoidWithOne.{u2} S₁ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))))))))
-but is expected to have type
-  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] (f : RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (g : σ -> S₁), Eq.{succ u3} S₁ (MvPolynomial.eval₂.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f g (OfNat.ofNat.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) 1 (One.toOfNat1.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toOne.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (OfNat.ofNat.{u3} S₁ 1 (One.toOfNat1.{u3} S₁ (Semiring.toOne.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))))
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval₂_one MvPolynomial.eval₂_oneₓ'. -/
 @[simp]
 theorem eval₂_one : (1 : MvPolynomial σ R).eval₂ f g = 1 :=
   (eval₂_C _ _ _).trans f.map_one
 #align mv_polynomial.eval₂_one MvPolynomial.eval₂_one
 
-/- warning: mv_polynomial.eval₂_X -> MvPolynomial.eval₂_X is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {S₁ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] (f : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (g : σ -> S₁) (n : σ), Eq.{succ u2} S₁ (MvPolynomial.eval₂.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 f g (MvPolynomial.X.{u1, u3} R σ _inst_1 n)) (g n)
-but is expected to have type
-  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] (f : RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (g : σ -> S₁) (n : σ), Eq.{succ u3} S₁ (MvPolynomial.eval₂.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f g (MvPolynomial.X.{u2, u1} R σ _inst_1 n)) (g n)
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval₂_X MvPolynomial.eval₂_Xₓ'. -/
 @[simp]
 theorem eval₂_X (n) : (X n).eval₂ f g = g n := by
   simp [eval₂_monomial, f.map_one, X, prod_single_index, pow_one]
 #align mv_polynomial.eval₂_X MvPolynomial.eval₂_X
 
-/- warning: mv_polynomial.eval₂_mul_monomial -> MvPolynomial.eval₂_mul_monomial is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval₂_mul_monomial MvPolynomial.eval₂_mul_monomialₓ'. -/
 theorem eval₂_mul_monomial :
     ∀ {s a}, (p * monomial s a).eval₂ f g = p.eval₂ f g * f a * s.Prod fun n e => g n ^ e := by
   classical
@@ -1607,19 +992,10 @@ theorem eval₂_mul_monomial :
           
 #align mv_polynomial.eval₂_mul_monomial MvPolynomial.eval₂_mul_monomial
 
-/- warning: mv_polynomial.eval₂_mul_C -> MvPolynomial.eval₂_mul_C is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval₂_mul_C MvPolynomial.eval₂_mul_Cₓ'. -/
 theorem eval₂_mul_C : (p * C a).eval₂ f g = p.eval₂ f g * f a :=
   (eval₂_mul_monomial _ _).trans <| by simp
 #align mv_polynomial.eval₂_mul_C MvPolynomial.eval₂_mul_C
 
-/- warning: mv_polynomial.eval₂_mul -> MvPolynomial.eval₂_mul is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {S₁ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] {q : MvPolynomial.{u3, u1} σ R _inst_1} (f : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (g : σ -> S₁) {p : MvPolynomial.{u3, u1} σ R _inst_1}, Eq.{succ u2} S₁ (MvPolynomial.eval₂.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 f g (HMul.hMul.{max u3 u1, max u3 u1, max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u1} σ R _inst_1) (instHMul.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Distrib.toHasMul.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))))) p q)) (HMul.hMul.{u2, u2, u2} S₁ S₁ S₁ (instHMul.{u2} S₁ (Distrib.toHasMul.{u2} S₁ (NonUnitalNonAssocSemiring.toDistrib.{u2} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S₁ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)))))) (MvPolynomial.eval₂.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 f g p) (MvPolynomial.eval₂.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 f g q))
-but is expected to have type
-  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] {q : MvPolynomial.{u1, u2} σ R _inst_1} (f : RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (g : σ -> S₁) {p : MvPolynomial.{u1, u2} σ R _inst_1}, Eq.{succ u3} S₁ (MvPolynomial.eval₂.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f g (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) p q)) (HMul.hMul.{u3, u3, u3} S₁ S₁ S₁ (instHMul.{u3} S₁ (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))))) (MvPolynomial.eval₂.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f g p) (MvPolynomial.eval₂.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f g q))
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval₂_mul MvPolynomial.eval₂_mulₓ'. -/
 @[simp]
 theorem eval₂_mul : ∀ {p}, (p * q).eval₂ f g = p.eval₂ f g * q.eval₂ f g :=
   by
@@ -1629,12 +1005,6 @@ theorem eval₂_mul : ∀ {p}, (p * q).eval₂ f g = p.eval₂ f g * q.eval₂ f
   · simp (config := { contextual := true }) [X, eval₂_monomial, eval₂_mul_monomial, ← mul_assoc]
 #align mv_polynomial.eval₂_mul MvPolynomial.eval₂_mul
 
-/- warning: mv_polynomial.eval₂_pow -> MvPolynomial.eval₂_pow is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {S₁ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] (f : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (g : σ -> S₁) {p : MvPolynomial.{u3, u1} σ R _inst_1} {n : Nat}, Eq.{succ u2} S₁ (MvPolynomial.eval₂.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 f g (HPow.hPow.{max u3 u1, 0, max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) Nat (MvPolynomial.{u3, u1} σ R _inst_1) (instHPow.{max u3 u1, 0} (MvPolynomial.{u3, u1} σ R _inst_1) Nat (Monoid.Pow.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MonoidWithZero.toMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toMonoidWithZero.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)))))) p n)) (HPow.hPow.{u2, 0, u2} S₁ Nat S₁ (instHPow.{u2, 0} S₁ Nat (Monoid.Pow.{u2} S₁ (MonoidWithZero.toMonoid.{u2} S₁ (Semiring.toMonoidWithZero.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))))) (MvPolynomial.eval₂.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 f g p) n)
-but is expected to have type
-  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] (f : RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (g : σ -> S₁) {p : MvPolynomial.{u1, u2} σ R _inst_1} {n : Nat}, Eq.{succ u3} S₁ (MvPolynomial.eval₂.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f g (HPow.hPow.{max u2 u1, 0, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) Nat (MvPolynomial.{u1, u2} σ R _inst_1) (instHPow.{max u2 u1, 0} (MvPolynomial.{u1, u2} σ R _inst_1) Nat (Monoid.Pow.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MonoidWithZero.toMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toMonoidWithZero.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) p n)) (HPow.hPow.{u3, 0, u3} S₁ Nat S₁ (instHPow.{u3, 0} S₁ Nat (Monoid.Pow.{u3} S₁ (MonoidWithZero.toMonoid.{u3} S₁ (Semiring.toMonoidWithZero.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))))) (MvPolynomial.eval₂.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f g p) n)
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval₂_pow MvPolynomial.eval₂_powₓ'. -/
 @[simp]
 theorem eval₂_pow {p : MvPolynomial σ R} : ∀ {n : ℕ}, (p ^ n).eval₂ f g = p.eval₂ f g ^ n
   | 0 => by rw [pow_zero, pow_zero]; exact eval₂_one _ _
@@ -1653,20 +1023,11 @@ def eval₂Hom (f : R →+* S₁) (g : σ → S₁) : MvPolynomial σ R →+* S
 #align mv_polynomial.eval₂_hom MvPolynomial.eval₂Hom
 -/
 
-/- warning: mv_polynomial.coe_eval₂_hom -> MvPolynomial.coe_eval₂Hom is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {S₁ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] (f : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (g : σ -> S₁), Eq.{max (succ (max u3 u1)) (succ u2)} ((MvPolynomial.{u3, u1} σ R _inst_1) -> S₁) (coeFn.{max (succ (max u3 u1)) (succ u2), max (succ (max u3 u1)) (succ u2)} (RingHom.{max u3 u1, u2} (MvPolynomial.{u3, u1} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (fun (_x : RingHom.{max u3 u1, u2} (MvPolynomial.{u3, u1} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) => (MvPolynomial.{u3, u1} σ R _inst_1) -> S₁) (RingHom.hasCoeToFun.{max u3 u1, u2} (MvPolynomial.{u3, u1} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (MvPolynomial.eval₂Hom.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 f g)) (MvPolynomial.eval₂.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 f g)
-but is expected to have type
-  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] (f : RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (g : σ -> S₁), Eq.{max (max (succ u2) (succ u3)) (succ u1)} (forall (ᾰ : MvPolynomial.{u1, u2} σ R _inst_1), (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => S₁) ᾰ) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u2) (succ u1), succ u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => S₁) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (MvPolynomial.eval₂Hom.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f g)) (MvPolynomial.eval₂.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f g)
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.coe_eval₂_hom MvPolynomial.coe_eval₂Homₓ'. -/
 @[simp]
 theorem coe_eval₂Hom (f : R →+* S₁) (g : σ → S₁) : ⇑(eval₂Hom f g) = eval₂ f g :=
   rfl
 #align mv_polynomial.coe_eval₂_hom MvPolynomial.coe_eval₂Hom
 
-/- warning: mv_polynomial.eval₂_hom_congr -> MvPolynomial.eval₂Hom_congr is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval₂_hom_congr MvPolynomial.eval₂Hom_congrₓ'. -/
 theorem eval₂Hom_congr {f₁ f₂ : R →+* S₁} {g₁ g₂ : σ → S₁} {p₁ p₂ : MvPolynomial σ R} :
     f₁ = f₂ → g₁ = g₂ → p₁ = p₂ → eval₂Hom f₁ g₁ p₁ = eval₂Hom f₂ g₂ p₂ := by
   rintro rfl rfl rfl <;> rfl
@@ -1674,31 +1035,16 @@ theorem eval₂Hom_congr {f₁ f₂ : R →+* S₁} {g₁ g₂ : σ → S₁} {p
 
 end
 
-/- warning: mv_polynomial.eval₂_hom_C -> MvPolynomial.eval₂Hom_C is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval₂_hom_C MvPolynomial.eval₂Hom_Cₓ'. -/
 @[simp]
 theorem eval₂Hom_C (f : R →+* S₁) (g : σ → S₁) (r : R) : eval₂Hom f g (C r) = f r :=
   eval₂_C f g r
 #align mv_polynomial.eval₂_hom_C MvPolynomial.eval₂Hom_C
 
-/- warning: mv_polynomial.eval₂_hom_X' -> MvPolynomial.eval₂Hom_X' is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {S₁ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] (f : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (g : σ -> S₁) (i : σ), Eq.{succ u2} S₁ (coeFn.{max (succ (max u3 u1)) (succ u2), max (succ (max u3 u1)) (succ u2)} (RingHom.{max u3 u1, u2} (MvPolynomial.{u3, u1} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (fun (_x : RingHom.{max u3 u1, u2} (MvPolynomial.{u3, u1} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) => (MvPolynomial.{u3, u1} σ R _inst_1) -> S₁) (RingHom.hasCoeToFun.{max u3 u1, u2} (MvPolynomial.{u3, u1} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (MvPolynomial.eval₂Hom.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 f g) (MvPolynomial.X.{u1, u3} R σ _inst_1 i)) (g i)
-but is expected to have type
-  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] (f : RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (g : σ -> S₁) (i : σ), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => S₁) (MvPolynomial.X.{u2, u1} R σ _inst_1 i)) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u2) (succ u1), succ u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => S₁) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (MvPolynomial.eval₂Hom.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f g) (MvPolynomial.X.{u2, u1} R σ _inst_1 i)) (g i)
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval₂_hom_X' MvPolynomial.eval₂Hom_X'ₓ'. -/
 @[simp]
 theorem eval₂Hom_X' (f : R →+* S₁) (g : σ → S₁) (i : σ) : eval₂Hom f g (X i) = g i :=
   eval₂_X f g i
 #align mv_polynomial.eval₂_hom_X' MvPolynomial.eval₂Hom_X'
 
-/- warning: mv_polynomial.comp_eval₂_hom -> MvPolynomial.comp_eval₂Hom is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {S₁ : Type.{u2}} {S₂ : Type.{u3}} {σ : Type.{u4}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] [_inst_3 : CommSemiring.{u3} S₂] (f : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (g : σ -> S₁) (φ : RingHom.{u2, u3} S₁ S₂ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_3))), Eq.{max (succ (max u4 u1)) (succ u3)} (RingHom.{max u4 u1, u3} (MvPolynomial.{u4, u1} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u4, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u4, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u4} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_3))) (RingHom.comp.{max u4 u1, u2, u3} (MvPolynomial.{u4, u1} σ R _inst_1) S₁ S₂ (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u4, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u4, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u4} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_3)) φ (MvPolynomial.eval₂Hom.{u1, u2, u4} R S₁ σ _inst_1 _inst_2 f g)) (MvPolynomial.eval₂Hom.{u1, u3, u4} R S₂ σ _inst_1 _inst_3 (RingHom.comp.{u1, u2, u3} R S₁ S₂ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_3)) φ f) (fun (i : σ) => coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (RingHom.{u2, u3} S₁ S₂ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_3))) (fun (_x : RingHom.{u2, u3} S₁ S₂ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_3))) => S₁ -> S₂) (RingHom.hasCoeToFun.{u2, u3} S₁ S₂ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_3))) φ (g i)))
-but is expected to have type
-  forall {R : Type.{u2}} {S₁ : Type.{u3}} {S₂ : Type.{u4}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] [_inst_3 : CommSemiring.{u4} S₂] (f : RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (g : σ -> S₁) (φ : RingHom.{u3, u4} S₁ S₂ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))), Eq.{max (max (succ u2) (succ u4)) (succ u1)} (RingHom.{max u1 u2, u4} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))) (RingHom.comp.{max u1 u2, u3, u4} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3)) φ (MvPolynomial.eval₂Hom.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f g)) (MvPolynomial.eval₂Hom.{u2, u4, u1} R S₂ σ _inst_1 _inst_3 (RingHom.comp.{u2, u3, u4} R S₁ S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3)) φ f) (fun (i : σ) => FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (RingHom.{u3, u4} S₁ S₂ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))) S₁ (fun (_x : S₁) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : S₁) => S₂) _x) (MulHomClass.toFunLike.{max u3 u4, u3, u4} (RingHom.{u3, u4} S₁ S₂ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))) S₁ S₂ (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalNonAssocSemiring.toMul.{u4} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₂ (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3)))) (NonUnitalRingHomClass.toMulHomClass.{max u3 u4, u3, u4} (RingHom.{u3, u4} S₁ S₂ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))) S₁ S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₂ (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))) (RingHomClass.toNonUnitalRingHomClass.{max u3 u4, u3, u4} (RingHom.{u3, u4} S₁ S₂ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))) S₁ S₂ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3)) (RingHom.instRingHomClassRingHom.{u3, u4} S₁ S₂ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3)))))) φ (g i)))
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.comp_eval₂_hom MvPolynomial.comp_eval₂Homₓ'. -/
 @[simp]
 theorem comp_eval₂Hom [CommSemiring S₂] (f : R →+* S₁) (g : σ → S₁) (φ : S₁ →+* S₂) :
     φ.comp (eval₂Hom f g) = eval₂Hom (φ.comp f) fun i => φ (g i) :=
@@ -1708,17 +1054,11 @@ theorem comp_eval₂Hom [CommSemiring S₂] (f : R →+* S₁) (g : σ → S₁)
   · intro i; rw [RingHom.comp_apply, eval₂_hom_X', eval₂_hom_X']
 #align mv_polynomial.comp_eval₂_hom MvPolynomial.comp_eval₂Hom
 
-/- warning: mv_polynomial.map_eval₂_hom -> MvPolynomial.map_eval₂Hom is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.map_eval₂_hom MvPolynomial.map_eval₂Homₓ'. -/
 theorem map_eval₂Hom [CommSemiring S₂] (f : R →+* S₁) (g : σ → S₁) (φ : S₁ →+* S₂)
     (p : MvPolynomial σ R) : φ (eval₂Hom f g p) = eval₂Hom (φ.comp f) (fun i => φ (g i)) p := by
   rw [← comp_eval₂_hom]; rfl
 #align mv_polynomial.map_eval₂_hom MvPolynomial.map_eval₂Hom
 
-/- warning: mv_polynomial.eval₂_hom_monomial -> MvPolynomial.eval₂Hom_monomial is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval₂_hom_monomial MvPolynomial.eval₂Hom_monomialₓ'. -/
 theorem eval₂Hom_monomial (f : R →+* S₁) (g : σ → S₁) (d : σ →₀ ℕ) (r : R) :
     eval₂Hom f g (monomial d r) = f r * d.Prod fun i k => g i ^ k := by
   simp only [monomial_eq, RingHom.map_mul, eval₂_hom_C, Finsupp.prod, RingHom.map_prod,
@@ -1727,9 +1067,6 @@ theorem eval₂Hom_monomial (f : R →+* S₁) (g : σ → S₁) (d : σ →₀
 
 section
 
-/- warning: mv_polynomial.eval₂_comp_left -> MvPolynomial.eval₂_comp_left is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval₂_comp_left MvPolynomial.eval₂_comp_leftₓ'. -/
 theorem eval₂_comp_left {S₂} [CommSemiring S₂] (k : S₁ →+* S₂) (f : R →+* S₁) (g : σ → S₁) (p) :
     k (eval₂ f g p) = eval₂ (k.comp f) (k ∘ g) p := by
   apply MvPolynomial.induction_on p <;>
@@ -1738,24 +1075,12 @@ theorem eval₂_comp_left {S₂} [CommSemiring S₂] (k : S₁ →+* S₂) (f :
 
 end
 
-/- warning: mv_polynomial.eval₂_eta -> MvPolynomial.eval₂_eta is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] (p : MvPolynomial.{u2, u1} σ R _inst_1), Eq.{succ (max u2 u1)} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.eval₂.{u1, max u2 u1, u2} R (MvPolynomial.{u2, u1} σ R _inst_1) σ _inst_1 (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1) (MvPolynomial.C.{u1, u2} R σ _inst_1) (MvPolynomial.X.{u1, u2} R σ _inst_1) p) p
-but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] (p : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{max (succ u2) (succ u1)} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.eval₂.{u2, max u1 u2, u1} R (MvPolynomial.{u1, u2} σ R _inst_1) σ _inst_1 (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1) (MvPolynomial.C.{u2, u1} R σ _inst_1) (MvPolynomial.X.{u2, u1} R σ _inst_1) p) p
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval₂_eta MvPolynomial.eval₂_etaₓ'. -/
 @[simp]
 theorem eval₂_eta (p : MvPolynomial σ R) : eval₂ C X p = p := by
   apply MvPolynomial.induction_on p <;>
     simp (config := { contextual := true }) [eval₂_add, eval₂_mul]
 #align mv_polynomial.eval₂_eta MvPolynomial.eval₂_eta
 
-/- warning: mv_polynomial.eval₂_congr -> MvPolynomial.eval₂_congr is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {S₁ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] {p : MvPolynomial.{u3, u1} σ R _inst_1} (f : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (g₁ : σ -> S₁) (g₂ : σ -> S₁), (forall {i : σ} {c : Finsupp.{u3, 0} σ Nat Nat.hasZero}, (Membership.Mem.{u3, u3} σ (Finset.{u3} σ) (Finset.hasMem.{u3} σ) i (Finsupp.support.{u3, 0} σ Nat Nat.hasZero c)) -> (Ne.{succ u1} R (MvPolynomial.coeff.{u1, u3} R σ _inst_1 c p) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))))))) -> (Eq.{succ u2} S₁ (g₁ i) (g₂ i))) -> (Eq.{succ u2} S₁ (MvPolynomial.eval₂.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 f g₁ p) (MvPolynomial.eval₂.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 f g₂ p))
-but is expected to have type
-  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] {p : MvPolynomial.{u1, u2} σ R _inst_1} (f : RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (g₁ : σ -> S₁) (g₂ : σ -> S₁), (forall {i : σ} {c : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)}, (Membership.mem.{u1, u1} σ (Finset.{u1} σ) (Finset.instMembershipFinset.{u1} σ) i (Finsupp.support.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) c)) -> (Ne.{succ u2} R (MvPolynomial.coeff.{u2, u1} R σ _inst_1 c p) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))))) -> (Eq.{succ u3} S₁ (g₁ i) (g₂ i))) -> (Eq.{succ u3} S₁ (MvPolynomial.eval₂.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f g₁ p) (MvPolynomial.eval₂.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f g₂ p))
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval₂_congr MvPolynomial.eval₂_congrₓ'. -/
 theorem eval₂_congr (g₁ g₂ : σ → S₁)
     (h : ∀ {i : σ} {c : σ →₀ ℕ}, i ∈ c.support → coeff c p ≠ 0 → g₁ i = g₂ i) :
     p.eval₂ f g₁ = p.eval₂ f g₂ := by
@@ -1767,24 +1092,12 @@ theorem eval₂_congr (g₁ g₂ : σ → S₁)
   rwa [Finsupp.mem_support_iff] at hc
 #align mv_polynomial.eval₂_congr MvPolynomial.eval₂_congr
 
-/- warning: mv_polynomial.eval₂_prod -> MvPolynomial.eval₂_prod is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {S₁ : Type.{u2}} {S₂ : Type.{u3}} {σ : Type.{u4}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] (f : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (g : σ -> S₁) (s : Finset.{u3} S₂) (p : S₂ -> (MvPolynomial.{u4, u1} σ R _inst_1)), Eq.{succ u2} S₁ (MvPolynomial.eval₂.{u1, u2, u4} R S₁ σ _inst_1 _inst_2 f g (Finset.prod.{max u4 u1, u3} (MvPolynomial.{u4, u1} σ R _inst_1) S₂ (CommSemiring.toCommMonoid.{max u4 u1} (MvPolynomial.{u4, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u4} R σ _inst_1)) s (fun (x : S₂) => p x))) (Finset.prod.{u2, u3} S₁ S₂ (CommSemiring.toCommMonoid.{u2} S₁ _inst_2) s (fun (x : S₂) => MvPolynomial.eval₂.{u1, u2, u4} R S₁ σ _inst_1 _inst_2 f g (p x)))
-but is expected to have type
-  forall {R : Type.{u2}} {S₁ : Type.{u3}} {S₂ : Type.{u4}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] (f : RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (g : σ -> S₁) (s : Finset.{u4} S₂) (p : S₂ -> (MvPolynomial.{u1, u2} σ R _inst_1)), Eq.{succ u3} S₁ (MvPolynomial.eval₂.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f g (Finset.prod.{max u2 u1, u4} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (CommSemiring.toCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) s (fun (x : S₂) => p x))) (Finset.prod.{u3, u4} S₁ S₂ (CommSemiring.toCommMonoid.{u3} S₁ _inst_2) s (fun (x : S₂) => MvPolynomial.eval₂.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f g (p x)))
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval₂_prod MvPolynomial.eval₂_prodₓ'. -/
 @[simp]
 theorem eval₂_prod (s : Finset S₂) (p : S₂ → MvPolynomial σ R) :
     eval₂ f g (∏ x in s, p x) = ∏ x in s, eval₂ f g (p x) :=
   (eval₂Hom f g).map_prod _ s
 #align mv_polynomial.eval₂_prod MvPolynomial.eval₂_prod
 
-/- warning: mv_polynomial.eval₂_sum -> MvPolynomial.eval₂_sum is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {S₁ : Type.{u2}} {S₂ : Type.{u3}} {σ : Type.{u4}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] (f : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (g : σ -> S₁) (s : Finset.{u3} S₂) (p : S₂ -> (MvPolynomial.{u4, u1} σ R _inst_1)), Eq.{succ u2} S₁ (MvPolynomial.eval₂.{u1, u2, u4} R S₁ σ _inst_1 _inst_2 f g (Finset.sum.{max u4 u1, u3} (MvPolynomial.{u4, u1} σ R _inst_1) S₂ (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u1} (MvPolynomial.{u4, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u1} (MvPolynomial.{u4, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u4, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u4, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u4} R σ _inst_1))))) s (fun (x : S₂) => p x))) (Finset.sum.{u2, u3} S₁ S₂ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S₁ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)))) s (fun (x : S₂) => MvPolynomial.eval₂.{u1, u2, u4} R S₁ σ _inst_1 _inst_2 f g (p x)))
-but is expected to have type
-  forall {R : Type.{u2}} {S₁ : Type.{u3}} {S₂ : Type.{u4}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] (f : RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (g : σ -> S₁) (s : Finset.{u4} S₂) (p : S₂ -> (MvPolynomial.{u1, u2} σ R _inst_1)), Eq.{succ u3} S₁ (MvPolynomial.eval₂.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f g (Finset.sum.{max u2 u1, u4} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) s (fun (x : S₂) => p x))) (Finset.sum.{u3, u4} S₁ S₂ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) s (fun (x : S₂) => MvPolynomial.eval₂.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f g (p x)))
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval₂_sum MvPolynomial.eval₂_sumₓ'. -/
 @[simp]
 theorem eval₂_sum (s : Finset S₂) (p : S₂ → MvPolynomial σ R) :
     eval₂ f g (∑ x in s, p x) = ∑ x in s, eval₂ f g (p x) :=
@@ -1793,12 +1106,6 @@ theorem eval₂_sum (s : Finset S₂) (p : S₂ → MvPolynomial σ R) :
 
 attribute [to_additive] eval₂_prod
 
-/- warning: mv_polynomial.eval₂_assoc -> MvPolynomial.eval₂_assoc is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {S₁ : Type.{u2}} {S₂ : Type.{u3}} {σ : Type.{u4}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] (f : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (g : σ -> S₁) (q : S₂ -> (MvPolynomial.{u4, u1} σ R _inst_1)) (p : MvPolynomial.{u3, u1} S₂ R _inst_1), Eq.{succ u2} S₁ (MvPolynomial.eval₂.{u1, u2, u3} R S₁ S₂ _inst_1 _inst_2 f (fun (t : S₂) => MvPolynomial.eval₂.{u1, u2, u4} R S₁ σ _inst_1 _inst_2 f g (q t)) p) (MvPolynomial.eval₂.{u1, u2, u4} R S₁ σ _inst_1 _inst_2 f g (MvPolynomial.eval₂.{u1, max u4 u1, u3} R (MvPolynomial.{u4, u1} σ R _inst_1) S₂ _inst_1 (MvPolynomial.commSemiring.{u1, u4} R σ _inst_1) (MvPolynomial.C.{u1, u4} R σ _inst_1) q p))
-but is expected to have type
-  forall {R : Type.{u2}} {S₁ : Type.{u3}} {S₂ : Type.{u4}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] (f : RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (g : σ -> S₁) (q : S₂ -> (MvPolynomial.{u1, u2} σ R _inst_1)) (p : MvPolynomial.{u4, u2} S₂ R _inst_1), Eq.{succ u3} S₁ (MvPolynomial.eval₂.{u2, u3, u4} R S₁ S₂ _inst_1 _inst_2 f (fun (t : S₂) => MvPolynomial.eval₂.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f g (q t)) p) (MvPolynomial.eval₂.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f g (MvPolynomial.eval₂.{u2, max u2 u1, u4} R (MvPolynomial.{u1, u2} σ R _inst_1) S₂ _inst_1 (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1) (MvPolynomial.C.{u2, u1} R σ _inst_1) q p))
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval₂_assoc MvPolynomial.eval₂_assocₓ'. -/
 theorem eval₂_assoc (q : S₂ → MvPolynomial σ R) (p : MvPolynomial S₂ R) :
     eval₂ f (fun t => eval₂ f g (q t)) p = eval₂ f g (eval₂ C q p) :=
   by
@@ -1819,73 +1126,40 @@ def eval (f : σ → R) : MvPolynomial σ R →+* R :=
 #align mv_polynomial.eval MvPolynomial.eval
 -/
 
-/- warning: mv_polynomial.eval_eq -> MvPolynomial.eval_eq is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] (x : σ -> R) (f : MvPolynomial.{u2, u1} σ R _inst_1), Eq.{succ u1} R (coeFn.{max (succ (max u2 u1)) (succ u1), max (succ (max u2 u1)) (succ u1)} (RingHom.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (fun (_x : RingHom.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) => (MvPolynomial.{u2, u1} σ R _inst_1) -> R) (RingHom.hasCoeToFun.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.eval.{u1, u2} R σ _inst_1 x) f) (Finset.sum.{u1, u2} R (Finsupp.{u2, 0} σ Nat Nat.hasZero) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.support.{u1, u2} R σ _inst_1 f) (fun (d : Finsupp.{u2, 0} σ Nat Nat.hasZero) => HMul.hMul.{u1, u1, u1} R R R (instHMul.{u1} R (Distrib.toHasMul.{u1} R (NonUnitalNonAssocSemiring.toDistrib.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))) (MvPolynomial.coeff.{u1, u2} R σ _inst_1 d f) (Finset.prod.{u1, u2} R σ (CommSemiring.toCommMonoid.{u1} R _inst_1) (Finsupp.support.{u2, 0} σ Nat Nat.hasZero d) (fun (i : σ) => HPow.hPow.{u1, 0, u1} R Nat R (instHPow.{u1, 0} R Nat (Monoid.Pow.{u1} R (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (x i) (coeFn.{succ u2, succ u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (fun (_x : Finsupp.{u2, 0} σ Nat Nat.hasZero) => σ -> Nat) (Finsupp.coeFun.{u2, 0} σ Nat Nat.hasZero) d i)))))
-but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] (x : σ -> R) (f : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) f) (FunLike.coe.{max (succ u2) (succ u1), max (succ u2) (succ u1), succ u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) _x) (MulHomClass.toFunLike.{max u2 u1, max u2 u1, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, max u2 u1, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, max u2 u1, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (RingHom.instRingHomClassRingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))))) (MvPolynomial.eval.{u2, u1} R σ _inst_1 x) f) (Finset.sum.{u2, u1} R (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.support.{u2, u1} R σ _inst_1 f) (fun (d : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => HMul.hMul.{u2, u2, u2} R R R (instHMul.{u2} R (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) (MvPolynomial.coeff.{u2, u1} R σ _inst_1 d f) (Finset.prod.{u2, u1} R σ (CommSemiring.toCommMonoid.{u2} R _inst_1) (Finsupp.support.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) d) (fun (i : σ) => HPow.hPow.{u2, 0, u2} R ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : σ) => Nat) i) R (instHPow.{u2, 0} R ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : σ) => Nat) i) (Monoid.Pow.{u2} R (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) (x i) (FunLike.coe.{succ u1, succ u1, 1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) σ (fun (_x : σ) => (fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : σ) => Nat) _x) (Finsupp.funLike.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) d i)))))
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval_eq MvPolynomial.eval_eqₓ'. -/
 theorem eval_eq (x : σ → R) (f : MvPolynomial σ R) :
     eval x f = ∑ d in f.support, f.coeff d * ∏ i in d.support, x i ^ d i :=
   rfl
 #align mv_polynomial.eval_eq MvPolynomial.eval_eq
 
-/- warning: mv_polynomial.eval_eq' -> MvPolynomial.eval_eq' is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_3 : Fintype.{u2} σ] (x : σ -> R) (f : MvPolynomial.{u2, u1} σ R _inst_1), Eq.{succ u1} R (coeFn.{max (succ (max u2 u1)) (succ u1), max (succ (max u2 u1)) (succ u1)} (RingHom.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (fun (_x : RingHom.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) => (MvPolynomial.{u2, u1} σ R _inst_1) -> R) (RingHom.hasCoeToFun.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.eval.{u1, u2} R σ _inst_1 x) f) (Finset.sum.{u1, u2} R (Finsupp.{u2, 0} σ Nat Nat.hasZero) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.support.{u1, u2} R σ _inst_1 f) (fun (d : Finsupp.{u2, 0} σ Nat Nat.hasZero) => HMul.hMul.{u1, u1, u1} R R R (instHMul.{u1} R (Distrib.toHasMul.{u1} R (NonUnitalNonAssocSemiring.toDistrib.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))) (MvPolynomial.coeff.{u1, u2} R σ _inst_1 d f) (Finset.prod.{u1, u2} R σ (CommSemiring.toCommMonoid.{u1} R _inst_1) (Finset.univ.{u2} σ _inst_3) (fun (i : σ) => HPow.hPow.{u1, 0, u1} R Nat R (instHPow.{u1, 0} R Nat (Monoid.Pow.{u1} R (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (x i) (coeFn.{succ u2, succ u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (fun (_x : Finsupp.{u2, 0} σ Nat Nat.hasZero) => σ -> Nat) (Finsupp.coeFun.{u2, 0} σ Nat Nat.hasZero) d i)))))
-but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_3 : Fintype.{u1} σ] (x : σ -> R) (f : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) f) (FunLike.coe.{max (succ u2) (succ u1), max (succ u2) (succ u1), succ u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) _x) (MulHomClass.toFunLike.{max u2 u1, max u2 u1, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, max u2 u1, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, max u2 u1, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (RingHom.instRingHomClassRingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))))) (MvPolynomial.eval.{u2, u1} R σ _inst_1 x) f) (Finset.sum.{u2, u1} R (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.support.{u2, u1} R σ _inst_1 f) (fun (d : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => HMul.hMul.{u2, u2, u2} R R R (instHMul.{u2} R (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) (MvPolynomial.coeff.{u2, u1} R σ _inst_1 d f) (Finset.prod.{u2, u1} R σ (CommSemiring.toCommMonoid.{u2} R _inst_1) (Finset.univ.{u1} σ _inst_3) (fun (i : σ) => HPow.hPow.{u2, 0, u2} R ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : σ) => Nat) i) R (instHPow.{u2, 0} R ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : σ) => Nat) i) (Monoid.Pow.{u2} R (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) (x i) (FunLike.coe.{succ u1, succ u1, 1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) σ (fun (_x : σ) => (fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : σ) => Nat) _x) (Finsupp.funLike.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) d i)))))
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval_eq' MvPolynomial.eval_eq'ₓ'. -/
 theorem eval_eq' [Fintype σ] (x : σ → R) (f : MvPolynomial σ R) :
     eval x f = ∑ d in f.support, f.coeff d * ∏ i, x i ^ d i :=
   eval₂_eq' (RingHom.id R) x f
 #align mv_polynomial.eval_eq' MvPolynomial.eval_eq'
 
-/- warning: mv_polynomial.eval_monomial -> MvPolynomial.eval_monomial is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval_monomial MvPolynomial.eval_monomialₓ'. -/
 theorem eval_monomial : eval f (monomial s a) = a * s.Prod fun n e => f n ^ e :=
   eval₂_monomial _ _
 #align mv_polynomial.eval_monomial MvPolynomial.eval_monomial
 
-/- warning: mv_polynomial.eval_C -> MvPolynomial.eval_C is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval_C MvPolynomial.eval_Cₓ'. -/
 @[simp]
 theorem eval_C : ∀ a, eval f (C a) = a :=
   eval₂_C _ _
 #align mv_polynomial.eval_C MvPolynomial.eval_C
 
-/- warning: mv_polynomial.eval_X -> MvPolynomial.eval_X is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {f : σ -> R} (n : σ), Eq.{succ u1} R (coeFn.{max (succ (max u2 u1)) (succ u1), max (succ (max u2 u1)) (succ u1)} (RingHom.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (fun (_x : RingHom.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) => (MvPolynomial.{u2, u1} σ R _inst_1) -> R) (RingHom.hasCoeToFun.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.eval.{u1, u2} R σ _inst_1 f) (MvPolynomial.X.{u1, u2} R σ _inst_1 n)) (f n)
-but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] {f : σ -> R} (n : σ), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) (MvPolynomial.X.{u2, u1} R σ _inst_1 n)) (FunLike.coe.{max (succ u2) (succ u1), max (succ u2) (succ u1), succ u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) _x) (MulHomClass.toFunLike.{max u2 u1, max u2 u1, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, max u2 u1, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, max u2 u1, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (RingHom.instRingHomClassRingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))))) (MvPolynomial.eval.{u2, u1} R σ _inst_1 f) (MvPolynomial.X.{u2, u1} R σ _inst_1 n)) (f n)
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval_X MvPolynomial.eval_Xₓ'. -/
 @[simp]
 theorem eval_X : ∀ n, eval f (X n) = f n :=
   eval₂_X _ _
 #align mv_polynomial.eval_X MvPolynomial.eval_X
 
-/- warning: mv_polynomial.smul_eval -> MvPolynomial.smul_eval is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.smul_eval MvPolynomial.smul_evalₓ'. -/
 @[simp]
 theorem smul_eval (x) (p : MvPolynomial σ R) (s) : eval x (s • p) = s * eval x p := by
   rw [smul_eq_C_mul, (eval x).map_mul, eval_C]
 #align mv_polynomial.smul_eval MvPolynomial.smul_eval
 
-/- warning: mv_polynomial.eval_sum -> MvPolynomial.eval_sum is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval_sum MvPolynomial.eval_sumₓ'. -/
 theorem eval_sum {ι : Type _} (s : Finset ι) (f : ι → MvPolynomial σ R) (g : σ → R) :
     eval g (∑ i in s, f i) = ∑ i in s, eval g (f i) :=
   (eval g).map_sum _ _
 #align mv_polynomial.eval_sum MvPolynomial.eval_sum
 
-/- warning: mv_polynomial.eval_prod -> MvPolynomial.eval_prod is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval_prod MvPolynomial.eval_prodₓ'. -/
 @[to_additive]
 theorem eval_prod {ι : Type _} (s : Finset ι) (f : ι → MvPolynomial σ R) (g : σ → R) :
     eval g (∏ i in s, f i) = ∏ i in s, eval g (f i) :=
@@ -1893,9 +1167,6 @@ theorem eval_prod {ι : Type _} (s : Finset ι) (f : ι → MvPolynomial σ R) (
 #align mv_polynomial.eval_prod MvPolynomial.eval_prod
 #align mv_polynomial.eval_sum MvPolynomial.eval_sum
 
-/- warning: mv_polynomial.eval_assoc -> MvPolynomial.eval_assoc is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval_assoc MvPolynomial.eval_assocₓ'. -/
 theorem eval_assoc {τ} (f : σ → MvPolynomial τ R) (g : τ → R) (p : MvPolynomial σ R) :
     eval (eval g ∘ f) p = eval g (eval₂ C f p) :=
   by
@@ -1904,20 +1175,11 @@ theorem eval_assoc {τ} (f : σ → MvPolynomial τ R) (g : τ → R) (p : MvPol
   congr with a; simp
 #align mv_polynomial.eval_assoc MvPolynomial.eval_assoc
 
-/- warning: mv_polynomial.eval₂_id -> MvPolynomial.eval₂_id is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] (p : MvPolynomial.{u2, u1} σ R _inst_1) (g : σ -> R), Eq.{succ u1} R (MvPolynomial.eval₂.{u1, u1, u2} R R σ _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) g p) (coeFn.{max (succ (max u2 u1)) (succ u1), max (succ (max u2 u1)) (succ u1)} (RingHom.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (fun (_x : RingHom.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) => (MvPolynomial.{u2, u1} σ R _inst_1) -> R) (RingHom.hasCoeToFun.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.eval.{u1, u2} R σ _inst_1 g) p)
-but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] {p : σ -> R} (g : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{succ u2} R (MvPolynomial.eval₂.{u2, u2, u1} R R σ _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) p g) (FunLike.coe.{max (succ u2) (succ u1), max (succ u2) (succ u1), succ u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) _x) (MulHomClass.toFunLike.{max u2 u1, max u2 u1, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, max u2 u1, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, max u2 u1, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (RingHom.instRingHomClassRingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))))) (MvPolynomial.eval.{u2, u1} R σ _inst_1 p) g)
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval₂_id MvPolynomial.eval₂_idₓ'. -/
 @[simp]
 theorem eval₂_id (p : MvPolynomial σ R) (g : σ → R) : eval₂ (RingHom.id _) g p = eval g p :=
   rfl
 #align mv_polynomial.eval₂_id MvPolynomial.eval₂_id
 
-/- warning: mv_polynomial.eval_eval₂ -> MvPolynomial.eval_eval₂ is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval_eval₂ MvPolynomial.eval_eval₂ₓ'. -/
 theorem eval_eval₂ {τ : Type _} (f : R →+* MvPolynomial τ S₁) (g : σ → MvPolynomial τ S₁)
     (p : MvPolynomial σ R) (x : τ → S₁) :
     eval x (eval₂ f g p) = eval₂ ((eval x).comp f) (fun s => eval x (g s)) p :=
@@ -1943,46 +1205,25 @@ def map : MvPolynomial σ R →+* MvPolynomial σ S₁ :=
 #align mv_polynomial.map MvPolynomial.map
 -/
 
-/- warning: mv_polynomial.map_monomial -> MvPolynomial.map_monomial is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.map_monomial MvPolynomial.map_monomialₓ'. -/
 @[simp]
 theorem map_monomial (s : σ →₀ ℕ) (a : R) : map f (monomial s a) = monomial s (f a) :=
   (eval₂_monomial _ _).trans monomial_eq.symm
 #align mv_polynomial.map_monomial MvPolynomial.map_monomial
 
-/- warning: mv_polynomial.map_C -> MvPolynomial.map_C is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.map_C MvPolynomial.map_Cₓ'. -/
 @[simp]
 theorem map_C : ∀ a : R, map f (C a : MvPolynomial σ R) = C (f a) :=
   map_monomial _ _
 #align mv_polynomial.map_C MvPolynomial.map_C
 
-/- warning: mv_polynomial.map_X -> MvPolynomial.map_X is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {S₁ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] (f : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (n : σ), Eq.{max (succ u3) (succ u2)} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (coeFn.{max (succ (max u3 u1)) (succ (max u3 u2)), max (succ (max u3 u1)) (succ (max u3 u2))} (RingHom.{max u3 u1, max u3 u2} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))) (fun (_x : RingHom.{max u3 u1, max u3 u2} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))) => (MvPolynomial.{u3, u1} σ R _inst_1) -> (MvPolynomial.{u3, u2} σ S₁ _inst_2)) (RingHom.hasCoeToFun.{max u3 u1, max u3 u2} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))) (MvPolynomial.map.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 f) (MvPolynomial.X.{u1, u3} R σ _inst_1 n)) (MvPolynomial.X.{u2, u3} S₁ σ _inst_2 n)
-but is expected to have type
-  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] (f : RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (n : σ), Eq.{max (succ u3) (succ u1)} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.X.{u2, u1} R σ _inst_1 n)) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u2) (succ u1), max (succ u3) (succ u1)} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u3} σ S₁ _inst_2) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (RingHom.instRingHomClassRingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))))) (MvPolynomial.map.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f) (MvPolynomial.X.{u2, u1} R σ _inst_1 n)) (MvPolynomial.X.{u3, u1} S₁ σ _inst_2 n)
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.map_X MvPolynomial.map_Xₓ'. -/
 @[simp]
 theorem map_X : ∀ n : σ, map f (X n : MvPolynomial σ R) = X n :=
   eval₂_X _ _
 #align mv_polynomial.map_X MvPolynomial.map_X
 
-/- warning: mv_polynomial.map_id -> MvPolynomial.map_id is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] (p : MvPolynomial.{u2, u1} σ R _inst_1), Eq.{max (succ u2) (succ u1)} (MvPolynomial.{u2, u1} σ R _inst_1) (coeFn.{succ (max u2 u1), succ (max u2 u1)} (RingHom.{max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (fun (_x : RingHom.{max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) => (MvPolynomial.{u2, u1} σ R _inst_1) -> (MvPolynomial.{u2, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (MvPolynomial.map.{u1, u1, u2} R R σ _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) p) p
-but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] (p : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u2} σ R _inst_1) p) (FunLike.coe.{max (succ u2) (succ u1), max (succ u2) (succ u1), max (succ u2) (succ u1)} (RingHom.{max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u2 u1, max u2 u1, max u2 u1} (RingHom.{max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, max u2 u1, max u2 u1} (RingHom.{max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, max u2 u1, max u2 u1} (RingHom.{max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.map.{u2, u2, u1} R R σ _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) p) p
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.map_id MvPolynomial.map_idₓ'. -/
 theorem map_id : ∀ p : MvPolynomial σ R, map (RingHom.id R) p = p :=
   eval₂_eta
 #align mv_polynomial.map_id MvPolynomial.map_id
 
-/- warning: mv_polynomial.map_map -> MvPolynomial.map_map is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.map_map MvPolynomial.map_mapₓ'. -/
 theorem map_map [CommSemiring S₂] (g : S₁ →+* S₂) (p : MvPolynomial σ R) :
     map g (map f p) = map (g.comp f) p :=
   (eval₂_comp_left (map g) (C.comp f) X p).trans <|
@@ -1992,9 +1233,6 @@ theorem map_map [CommSemiring S₂] (g : S₁ →+* S₂) (p : MvPolynomial σ R
     · ext1 n; simp only [map_X, comp_app]
 #align mv_polynomial.map_map MvPolynomial.map_map
 
-/- warning: mv_polynomial.eval₂_eq_eval_map -> MvPolynomial.eval₂_eq_eval_map is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval₂_eq_eval_map MvPolynomial.eval₂_eq_eval_mapₓ'. -/
 theorem eval₂_eq_eval_map (g : σ → S₁) (p : MvPolynomial σ R) : p.eval₂ f g = eval g (map f p) :=
   by
   unfold map eval; simp only [coe_eval₂_hom]
@@ -2006,9 +1244,6 @@ theorem eval₂_eq_eval_map (g : σ → S₁) (p : MvPolynomial σ R) : p.eval
   · ext1 n; simp only [comp_app, eval₂_X]
 #align mv_polynomial.eval₂_eq_eval_map MvPolynomial.eval₂_eq_eval_map
 
-/- warning: mv_polynomial.eval₂_comp_right -> MvPolynomial.eval₂_comp_right is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval₂_comp_right MvPolynomial.eval₂_comp_rightₓ'. -/
 theorem eval₂_comp_right {S₂} [CommSemiring S₂] (k : S₁ →+* S₂) (f : R →+* S₁) (g : σ → S₁) (p) :
     k (eval₂ f g p) = eval₂ k (k ∘ g) (map f p) :=
   by
@@ -2019,9 +1254,6 @@ theorem eval₂_comp_right {S₂} [CommSemiring S₂] (k : S₁ →+* S₂) (f :
     rw [eval₂_mul, k.map_mul, (map f).map_mul, eval₂_mul, map_X, hp, eval₂_X, eval₂_X]
 #align mv_polynomial.eval₂_comp_right MvPolynomial.eval₂_comp_right
 
-/- warning: mv_polynomial.map_eval₂ -> MvPolynomial.map_eval₂ is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.map_eval₂ MvPolynomial.map_eval₂ₓ'. -/
 theorem map_eval₂ (f : R →+* S₁) (g : S₂ → MvPolynomial S₃ R) (p : MvPolynomial S₂ R) :
     map f (eval₂ C g p) = eval₂ C (map f ∘ g) (map f p) :=
   by
@@ -2032,9 +1264,6 @@ theorem map_eval₂ (f : R →+* S₁) (g : S₂ → MvPolynomial S₃ R) (p : M
     rw [eval₂_mul, (map f).map_mul, hp, (map f).map_mul, map_X, eval₂_mul, eval₂_X, eval₂_X]
 #align mv_polynomial.map_eval₂ MvPolynomial.map_eval₂
 
-/- warning: mv_polynomial.coeff_map -> MvPolynomial.coeff_map is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.coeff_map MvPolynomial.coeff_mapₓ'. -/
 theorem coeff_map (p : MvPolynomial σ R) : ∀ m : σ →₀ ℕ, coeff m (map f p) = f (coeff m p) := by
   classical
     apply MvPolynomial.induction_on p <;> clear p
@@ -2046,9 +1275,6 @@ theorem coeff_map (p : MvPolynomial σ R) : ∀ m : σ →₀ ℕ, coeff m (map
       rw [f.map_zero]
 #align mv_polynomial.coeff_map MvPolynomial.coeff_map
 
-/- warning: mv_polynomial.map_injective -> MvPolynomial.map_injective is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.map_injective MvPolynomial.map_injectiveₓ'. -/
 theorem map_injective (hf : Function.Injective f) :
     Function.Injective (map f : MvPolynomial σ R → MvPolynomial σ S₁) :=
   by
@@ -2058,9 +1284,6 @@ theorem map_injective (hf : Function.Injective f) :
   exact hf (h m)
 #align mv_polynomial.map_injective MvPolynomial.map_injective
 
-/- warning: mv_polynomial.map_surjective -> MvPolynomial.map_surjective is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.map_surjective MvPolynomial.map_surjectiveₓ'. -/
 theorem map_surjective (hf : Function.Surjective f) :
     Function.Surjective (map f : MvPolynomial σ R → MvPolynomial σ S₁) := fun p =>
   by
@@ -2072,77 +1295,47 @@ theorem map_surjective (hf : Function.Surjective f) :
     exact ⟨a + b, RingHom.map_add _ _ _⟩
 #align mv_polynomial.map_surjective MvPolynomial.map_surjective
 
-/- warning: mv_polynomial.map_left_inverse -> MvPolynomial.map_leftInverse is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.map_left_inverse MvPolynomial.map_leftInverseₓ'. -/
 /-- If `f` is a left-inverse of `g` then `map f` is a left-inverse of `map g`. -/
 theorem map_leftInverse {f : R →+* S₁} {g : S₁ →+* R} (hf : Function.LeftInverse f g) :
     Function.LeftInverse (map f : MvPolynomial σ R → MvPolynomial σ S₁) (map g) := fun x => by
   rw [map_map, (RingHom.ext hf : f.comp g = RingHom.id _), map_id]
 #align mv_polynomial.map_left_inverse MvPolynomial.map_leftInverse
 
-/- warning: mv_polynomial.map_right_inverse -> MvPolynomial.map_rightInverse is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.map_right_inverse MvPolynomial.map_rightInverseₓ'. -/
 /-- If `f` is a right-inverse of `g` then `map f` is a right-inverse of `map g`. -/
 theorem map_rightInverse {f : R →+* S₁} {g : S₁ →+* R} (hf : Function.RightInverse f g) :
     Function.RightInverse (map f : MvPolynomial σ R → MvPolynomial σ S₁) (map g) :=
   (map_leftInverse hf.LeftInverse).RightInverse
 #align mv_polynomial.map_right_inverse MvPolynomial.map_rightInverse
 
-/- warning: mv_polynomial.eval_map -> MvPolynomial.eval_map is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval_map MvPolynomial.eval_mapₓ'. -/
 @[simp]
 theorem eval_map (f : R →+* S₁) (g : σ → S₁) (p : MvPolynomial σ R) :
     eval g (map f p) = eval₂ f g p := by
   apply MvPolynomial.induction_on p <;> · simp (config := { contextual := true })
 #align mv_polynomial.eval_map MvPolynomial.eval_map
 
-/- warning: mv_polynomial.eval₂_map -> MvPolynomial.eval₂_map is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval₂_map MvPolynomial.eval₂_mapₓ'. -/
 @[simp]
 theorem eval₂_map [CommSemiring S₂] (f : R →+* S₁) (g : σ → S₂) (φ : S₁ →+* S₂)
     (p : MvPolynomial σ R) : eval₂ φ g (map f p) = eval₂ (φ.comp f) g p := by
   rw [← eval_map, ← eval_map, map_map]
 #align mv_polynomial.eval₂_map MvPolynomial.eval₂_map
 
-/- warning: mv_polynomial.eval₂_hom_map_hom -> MvPolynomial.eval₂Hom_map_hom is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval₂_hom_map_hom MvPolynomial.eval₂Hom_map_homₓ'. -/
 @[simp]
 theorem eval₂Hom_map_hom [CommSemiring S₂] (f : R →+* S₁) (g : σ → S₂) (φ : S₁ →+* S₂)
     (p : MvPolynomial σ R) : eval₂Hom φ g (map f p) = eval₂Hom (φ.comp f) g p :=
   eval₂_map f g φ p
 #align mv_polynomial.eval₂_hom_map_hom MvPolynomial.eval₂Hom_map_hom
 
-/- warning: mv_polynomial.constant_coeff_map -> MvPolynomial.constantCoeff_map is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.constant_coeff_map MvPolynomial.constantCoeff_mapₓ'. -/
 @[simp]
 theorem constantCoeff_map (f : R →+* S₁) (φ : MvPolynomial σ R) :
     constantCoeff (MvPolynomial.map f φ) = f (constantCoeff φ) :=
   coeff_map f φ 0
 #align mv_polynomial.constant_coeff_map MvPolynomial.constantCoeff_map
 
-/- warning: mv_polynomial.constant_coeff_comp_map -> MvPolynomial.constantCoeff_comp_map is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {S₁ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] (f : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))), Eq.{max (succ (max u3 u1)) (succ u2)} (RingHom.{max u3 u1, u2} (MvPolynomial.{u3, u1} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (RingHom.comp.{max u3 u1, max u3 u2, u2} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u2} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (MvPolynomial.constantCoeff.{u2, u3} S₁ σ _inst_2) (MvPolynomial.map.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 f)) (RingHom.comp.{max u3 u1, u1, u2} (MvPolynomial.{u3, u1} σ R _inst_1) R S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) f (MvPolynomial.constantCoeff.{u1, u3} R σ _inst_1))
-but is expected to have type
-  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] (f : RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))), Eq.{max (max (succ u2) (succ u3)) (succ u1)} (RingHom.{max u1 u2, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHom.comp.{max u1 u2, max u3 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (MvPolynomial.constantCoeff.{u3, u1} S₁ σ _inst_2) (MvPolynomial.map.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f)) (RingHom.comp.{max u1 u2, u2, u3} (MvPolynomial.{u1, u2} σ R _inst_1) R S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) f (MvPolynomial.constantCoeff.{u2, u1} R σ _inst_1))
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.constant_coeff_comp_map MvPolynomial.constantCoeff_comp_mapₓ'. -/
 theorem constantCoeff_comp_map (f : R →+* S₁) :
     (constantCoeff : MvPolynomial σ S₁ →+* S₁).comp (MvPolynomial.map f) = f.comp constantCoeff :=
   by ext <;> simp
 #align mv_polynomial.constant_coeff_comp_map MvPolynomial.constantCoeff_comp_map
 
-/- warning: mv_polynomial.support_map_subset -> MvPolynomial.support_map_subset is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {S₁ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] (f : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (p : MvPolynomial.{u3, u1} σ R _inst_1), HasSubset.Subset.{u3} (Finset.{u3} (Finsupp.{u3, 0} σ Nat Nat.hasZero)) (Finset.hasSubset.{u3} (Finsupp.{u3, 0} σ Nat Nat.hasZero)) (MvPolynomial.support.{u2, u3} S₁ σ _inst_2 (coeFn.{max (succ (max u3 u1)) (succ (max u3 u2)), max (succ (max u3 u1)) (succ (max u3 u2))} (RingHom.{max u3 u1, max u3 u2} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))) (fun (_x : RingHom.{max u3 u1, max u3 u2} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))) => (MvPolynomial.{u3, u1} σ R _inst_1) -> (MvPolynomial.{u3, u2} σ S₁ _inst_2)) (RingHom.hasCoeToFun.{max u3 u1, max u3 u2} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))) (MvPolynomial.map.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 f) p)) (MvPolynomial.support.{u1, u3} R σ _inst_1 p)
-but is expected to have type
-  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] (f : RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (p : MvPolynomial.{u1, u2} σ R _inst_1), HasSubset.Subset.{u1} (Finset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (Finset.instHasSubsetFinset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (MvPolynomial.support.{u3, u1} S₁ σ _inst_2 (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u2) (succ u1), max (succ u3) (succ u1)} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u3} σ S₁ _inst_2) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (RingHom.instRingHomClassRingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))))) (MvPolynomial.map.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f) p)) (MvPolynomial.support.{u2, u1} R σ _inst_1 p)
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.support_map_subset MvPolynomial.support_map_subsetₓ'. -/
 theorem support_map_subset (p : MvPolynomial σ R) : (map f p).support ⊆ p.support :=
   by
   intro x
@@ -2155,9 +1348,6 @@ theorem support_map_subset (p : MvPolynomial σ R) : (map f p).support ⊆ p.sup
   exact RingHom.map_zero f
 #align mv_polynomial.support_map_subset MvPolynomial.support_map_subset
 
-/- warning: mv_polynomial.support_map_of_injective -> MvPolynomial.support_map_of_injective is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.support_map_of_injective MvPolynomial.support_map_of_injectiveₓ'. -/
 theorem support_map_of_injective (p : MvPolynomial σ R) {f : R →+* S₁} (hf : Injective f) :
     (map f p).support = p.support :=
   by
@@ -2172,9 +1362,6 @@ theorem support_map_of_injective (p : MvPolynomial σ R) {f : R →+* S₁} (hf
   exact hf hx
 #align mv_polynomial.support_map_of_injective MvPolynomial.support_map_of_injective
 
-/- warning: mv_polynomial.C_dvd_iff_map_hom_eq_zero -> MvPolynomial.C_dvd_iff_map_hom_eq_zero is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.C_dvd_iff_map_hom_eq_zero MvPolynomial.C_dvd_iff_map_hom_eq_zeroₓ'. -/
 theorem C_dvd_iff_map_hom_eq_zero (q : R →+* S₁) (r : R) (hr : ∀ r' : R, q r' = 0 ↔ r ∣ r')
     (φ : MvPolynomial σ R) : C r ∣ φ ↔ map q φ = 0 :=
   by
@@ -2182,9 +1369,6 @@ theorem C_dvd_iff_map_hom_eq_zero (q : R →+* S₁) (r : R) (hr : ∀ r' : R, q
   simp only [coeff_map, coeff_zero, hr]
 #align mv_polynomial.C_dvd_iff_map_hom_eq_zero MvPolynomial.C_dvd_iff_map_hom_eq_zero
 
-/- warning: mv_polynomial.map_map_range_eq_iff -> MvPolynomial.map_mapRange_eq_iff is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.map_map_range_eq_iff MvPolynomial.map_mapRange_eq_iffₓ'. -/
 theorem map_mapRange_eq_iff (f : R →+* S₁) (g : S₁ → R) (hg : g 0 = 0) (φ : MvPolynomial σ S₁) :
     map f (Finsupp.mapRange g hg φ) = φ ↔ ∀ d, f (g (coeff d φ)) = coeff d φ :=
   by
@@ -2210,21 +1394,12 @@ def mapAlgHom [CommSemiring S₂] [Algebra R S₁] [Algebra R S₂] (f : S₁ 
 #align mv_polynomial.map_alg_hom MvPolynomial.mapAlgHom
 -/
 
-/- warning: mv_polynomial.map_alg_hom_id -> MvPolynomial.mapAlgHom_id is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {S₁ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] [_inst_3 : Algebra.{u1, u2} R S₁ _inst_1 (CommSemiring.toSemiring.{u2} S₁ _inst_2)], Eq.{succ (max u3 u2)} (AlgHom.{u1, max u3 u2, max u3 u2} R (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.{u3, u2} σ S₁ _inst_2) _inst_1 (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)) (MvPolynomial.algebra.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 _inst_3) (MvPolynomial.algebra.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 _inst_3)) (MvPolynomial.mapAlgHom.{u1, u2, u2, u3} R S₁ S₁ σ _inst_1 _inst_2 _inst_2 _inst_3 _inst_3 (AlgHom.id.{u1, u2} R S₁ _inst_1 (CommSemiring.toSemiring.{u2} S₁ _inst_2) _inst_3)) (AlgHom.id.{u1, max u3 u2} R (MvPolynomial.{u3, u2} σ S₁ _inst_2) _inst_1 (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)) (MvPolynomial.algebra.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 _inst_3))
-but is expected to have type
-  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] [_inst_3 : Algebra.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2)], Eq.{max (succ u3) (succ u1)} (AlgHom.{u2, max u3 u1, max u3 u1} R (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.{u1, u3} σ S₁ _inst_2) _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)) (MvPolynomial.algebra.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 _inst_3) (MvPolynomial.algebra.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 _inst_3)) (MvPolynomial.mapAlgHom.{u2, u3, u3, u1} R S₁ S₁ σ _inst_1 _inst_2 _inst_2 _inst_3 _inst_3 (AlgHom.id.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3)) (AlgHom.id.{u2, max u3 u1} R (MvPolynomial.{u1, u3} σ S₁ _inst_2) _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)) (MvPolynomial.algebra.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 _inst_3))
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.map_alg_hom_id MvPolynomial.mapAlgHom_idₓ'. -/
 @[simp]
 theorem mapAlgHom_id [Algebra R S₁] :
     mapAlgHom (AlgHom.id R S₁) = AlgHom.id R (MvPolynomial σ S₁) :=
   AlgHom.ext map_id
 #align mv_polynomial.map_alg_hom_id MvPolynomial.mapAlgHom_id
 
-/- warning: mv_polynomial.map_alg_hom_coe_ring_hom -> MvPolynomial.mapAlgHom_coe_ringHom is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.map_alg_hom_coe_ring_hom MvPolynomial.mapAlgHom_coe_ringHomₓ'. -/
 @[simp]
 theorem mapAlgHom_coe_ringHom [CommSemiring S₂] [Algebra R S₁] [Algebra R S₂] (f : S₁ →ₐ[R] S₂) :
     ↑(mapAlgHom f : _ →ₐ[R] MvPolynomial σ S₂) =
@@ -2243,9 +1418,6 @@ variable [Algebra R S₁] [CommSemiring S₂]
 
 variable (f : σ → S₁)
 
-/- warning: mv_polynomial.algebra_map_apply -> MvPolynomial.algebraMap_apply is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.algebra_map_apply MvPolynomial.algebraMap_applyₓ'. -/
 theorem algebraMap_apply (r : R) : algebraMap R (MvPolynomial σ S₁) r = C (algebraMap R S₁ r) :=
   rfl
 #align mv_polynomial.algebra_map_apply MvPolynomial.algebraMap_apply
@@ -2258,191 +1430,104 @@ def aeval : MvPolynomial σ R →ₐ[R] S₁ :=
 #align mv_polynomial.aeval MvPolynomial.aeval
 -/
 
-/- warning: mv_polynomial.aeval_def -> MvPolynomial.aeval_def is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.aeval_def MvPolynomial.aeval_defₓ'. -/
 theorem aeval_def (p : MvPolynomial σ R) : aeval f p = eval₂ (algebraMap R S₁) f p :=
   rfl
 #align mv_polynomial.aeval_def MvPolynomial.aeval_def
 
-/- warning: mv_polynomial.aeval_eq_eval₂_hom -> MvPolynomial.aeval_eq_eval₂Hom is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.aeval_eq_eval₂_hom MvPolynomial.aeval_eq_eval₂Homₓ'. -/
 theorem aeval_eq_eval₂Hom (p : MvPolynomial σ R) : aeval f p = eval₂Hom (algebraMap R S₁) f p :=
   rfl
 #align mv_polynomial.aeval_eq_eval₂_hom MvPolynomial.aeval_eq_eval₂Hom
 
-/- warning: mv_polynomial.aeval_X -> MvPolynomial.aeval_X is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.aeval_X MvPolynomial.aeval_Xₓ'. -/
 @[simp]
 theorem aeval_X (s : σ) : aeval f (X s : MvPolynomial _ R) = f s :=
   eval₂_X _ _ _
 #align mv_polynomial.aeval_X MvPolynomial.aeval_X
 
-/- warning: mv_polynomial.aeval_C -> MvPolynomial.aeval_C is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.aeval_C MvPolynomial.aeval_Cₓ'. -/
 @[simp]
 theorem aeval_C (r : R) : aeval f (C r) = algebraMap R S₁ r :=
   eval₂_C _ _ _
 #align mv_polynomial.aeval_C MvPolynomial.aeval_C
 
-/- warning: mv_polynomial.aeval_unique -> MvPolynomial.aeval_unique is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.aeval_unique MvPolynomial.aeval_uniqueₓ'. -/
 theorem aeval_unique (φ : MvPolynomial σ R →ₐ[R] S₁) : φ = aeval (φ ∘ X) := by ext i; simp
 #align mv_polynomial.aeval_unique MvPolynomial.aeval_unique
 
-/- warning: mv_polynomial.aeval_X_left -> MvPolynomial.aeval_X_left is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R], Eq.{succ (max u2 u1)} (AlgHom.{u1, max u2 u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1))) (MvPolynomial.aeval.{u1, max u2 u1, u2} R (MvPolynomial.{u2, u1} σ R _inst_1) σ _inst_1 (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) (MvPolynomial.X.{u1, u2} R σ _inst_1)) (AlgHom.id.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)))
-but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R], Eq.{max (succ u2) (succ u1)} (AlgHom.{u2, max u2 u1, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) (MvPolynomial.aeval.{u2, max u1 u2, u1} R (MvPolynomial.{u1, u2} σ R _inst_1) σ _inst_1 (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.X.{u2, u1} R σ _inst_1)) (AlgHom.id.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.aeval_X_left MvPolynomial.aeval_X_leftₓ'. -/
 theorem aeval_X_left : aeval X = AlgHom.id R (MvPolynomial σ R) :=
   (aeval_unique (AlgHom.id R _)).symm
 #align mv_polynomial.aeval_X_left MvPolynomial.aeval_X_left
 
-/- warning: mv_polynomial.aeval_X_left_apply -> MvPolynomial.aeval_X_left_apply is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.aeval_X_left_apply MvPolynomial.aeval_X_left_applyₓ'. -/
 theorem aeval_X_left_apply (p : MvPolynomial σ R) : aeval X p = p :=
   AlgHom.congr_fun aeval_X_left p
 #align mv_polynomial.aeval_X_left_apply MvPolynomial.aeval_X_left_apply
 
-/- warning: mv_polynomial.comp_aeval -> MvPolynomial.comp_aeval is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.comp_aeval MvPolynomial.comp_aevalₓ'. -/
 theorem comp_aeval {B : Type _} [CommSemiring B] [Algebra R B] (φ : S₁ →ₐ[R] B) :
     φ.comp (aeval f) = aeval fun i => φ (f i) := by ext i; simp
 #align mv_polynomial.comp_aeval MvPolynomial.comp_aeval
 
-/- warning: mv_polynomial.map_aeval -> MvPolynomial.map_aeval is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.map_aeval MvPolynomial.map_aevalₓ'. -/
 @[simp]
 theorem map_aeval {B : Type _} [CommSemiring B] (g : σ → S₁) (φ : S₁ →+* B) (p : MvPolynomial σ R) :
     φ (aeval g p) = eval₂Hom (φ.comp (algebraMap R S₁)) (fun i => φ (g i)) p := by
   rw [← comp_eval₂_hom]; rfl
 #align mv_polynomial.map_aeval MvPolynomial.map_aeval
 
-/- warning: mv_polynomial.eval₂_hom_zero -> MvPolynomial.eval₂Hom_zero is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {S₂ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_4 : CommSemiring.{u2} S₂] (f : RingHom.{u1, u2} R S₂ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4))), Eq.{max (succ (max u3 u1)) (succ u2)} (RingHom.{max u3 u1, u2} (MvPolynomial.{u3, u1} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4))) (MvPolynomial.eval₂Hom.{u1, u2, u3} R S₂ σ _inst_1 _inst_4 f (OfNat.ofNat.{max u3 u2} (σ -> S₂) 0 (OfNat.mk.{max u3 u2} (σ -> S₂) 0 (Zero.zero.{max u3 u2} (σ -> S₂) (Pi.instZero.{u3, u2} σ (fun (ᾰ : σ) => S₂) (fun (i : σ) => MulZeroClass.toHasZero.{u2} S₂ (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S₂ (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4)))))))))) (RingHom.comp.{max u3 u1, u1, u2} (MvPolynomial.{u3, u1} σ R _inst_1) R S₂ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4)) f (MvPolynomial.constantCoeff.{u1, u3} R σ _inst_1))
-but is expected to have type
-  forall {R : Type.{u2}} {S₂ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_4 : CommSemiring.{u3} S₂] (f : RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))), Eq.{max (max (succ u2) (succ u3)) (succ u1)} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (MvPolynomial.eval₂Hom.{u2, u3, u1} R S₂ σ _inst_1 _inst_4 f (OfNat.ofNat.{max u3 u1} (σ -> S₂) 0 (Zero.toOfNat0.{max u3 u1} (σ -> S₂) (Pi.instZero.{u1, u3} σ (fun (a._@.Mathlib.Data.MvPolynomial.Basic._hyg.20540 : σ) => S₂) (fun (i : σ) => CommMonoidWithZero.toZero.{u3} S₂ (CommSemiring.toCommMonoidWithZero.{u3} S₂ _inst_4)))))) (RingHom.comp.{max u1 u2, u2, u3} (MvPolynomial.{u1, u2} σ R _inst_1) R S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)) f (MvPolynomial.constantCoeff.{u2, u1} R σ _inst_1))
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval₂_hom_zero MvPolynomial.eval₂Hom_zeroₓ'. -/
 @[simp]
 theorem eval₂Hom_zero (f : R →+* S₂) : eval₂Hom f (0 : σ → S₂) = f.comp constantCoeff := by
   ext <;> simp
 #align mv_polynomial.eval₂_hom_zero MvPolynomial.eval₂Hom_zero
 
-/- warning: mv_polynomial.eval₂_hom_zero' -> MvPolynomial.eval₂Hom_zero' is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {S₂ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_4 : CommSemiring.{u2} S₂] (f : RingHom.{u1, u2} R S₂ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4))), Eq.{max (succ (max u3 u1)) (succ u2)} (RingHom.{max u3 u1, u2} (MvPolynomial.{u3, u1} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4))) (MvPolynomial.eval₂Hom.{u1, u2, u3} R S₂ σ _inst_1 _inst_4 f (fun (_x : σ) => OfNat.ofNat.{u2} S₂ 0 (OfNat.mk.{u2} S₂ 0 (Zero.zero.{u2} S₂ (MulZeroClass.toHasZero.{u2} S₂ (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S₂ (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4))))))))) (RingHom.comp.{max u3 u1, u1, u2} (MvPolynomial.{u3, u1} σ R _inst_1) R S₂ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4)) f (MvPolynomial.constantCoeff.{u1, u3} R σ _inst_1))
-but is expected to have type
-  forall {R : Type.{u2}} {S₂ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_4 : CommSemiring.{u3} S₂] (f : RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))), Eq.{max (max (succ u2) (succ u3)) (succ u1)} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (MvPolynomial.eval₂Hom.{u2, u3, u1} R S₂ σ _inst_1 _inst_4 f (fun (_x : σ) => OfNat.ofNat.{u3} S₂ 0 (Zero.toOfNat0.{u3} S₂ (CommMonoidWithZero.toZero.{u3} S₂ (CommSemiring.toCommMonoidWithZero.{u3} S₂ _inst_4))))) (RingHom.comp.{max u1 u2, u2, u3} (MvPolynomial.{u1, u2} σ R _inst_1) R S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)) f (MvPolynomial.constantCoeff.{u2, u1} R σ _inst_1))
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval₂_hom_zero' MvPolynomial.eval₂Hom_zero'ₓ'. -/
 @[simp]
 theorem eval₂Hom_zero' (f : R →+* S₂) : eval₂Hom f (fun _ => 0 : σ → S₂) = f.comp constantCoeff :=
   eval₂Hom_zero f
 #align mv_polynomial.eval₂_hom_zero' MvPolynomial.eval₂Hom_zero'
 
-/- warning: mv_polynomial.eval₂_hom_zero_apply -> MvPolynomial.eval₂Hom_zero_apply is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval₂_hom_zero_apply MvPolynomial.eval₂Hom_zero_applyₓ'. -/
 theorem eval₂Hom_zero_apply (f : R →+* S₂) (p : MvPolynomial σ R) :
     eval₂Hom f (0 : σ → S₂) p = f (constantCoeff p) :=
   RingHom.congr_fun (eval₂Hom_zero f) p
 #align mv_polynomial.eval₂_hom_zero_apply MvPolynomial.eval₂Hom_zero_apply
 
-/- warning: mv_polynomial.eval₂_hom_zero'_apply -> MvPolynomial.eval₂Hom_zero'_apply is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval₂_hom_zero'_apply MvPolynomial.eval₂Hom_zero'_applyₓ'. -/
 theorem eval₂Hom_zero'_apply (f : R →+* S₂) (p : MvPolynomial σ R) :
     eval₂Hom f (fun _ => 0 : σ → S₂) p = f (constantCoeff p) :=
   eval₂Hom_zero_apply f p
 #align mv_polynomial.eval₂_hom_zero'_apply MvPolynomial.eval₂Hom_zero'_apply
 
-/- warning: mv_polynomial.eval₂_zero_apply -> MvPolynomial.eval₂_zero_apply is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {S₂ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_4 : CommSemiring.{u2} S₂] (f : RingHom.{u1, u2} R S₂ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4))) (p : MvPolynomial.{u3, u1} σ R _inst_1), Eq.{succ u2} S₂ (MvPolynomial.eval₂.{u1, u2, u3} R S₂ σ _inst_1 _inst_4 f (OfNat.ofNat.{max u3 u2} (σ -> S₂) 0 (OfNat.mk.{max u3 u2} (σ -> S₂) 0 (Zero.zero.{max u3 u2} (σ -> S₂) (Pi.instZero.{u3, u2} σ (fun (ᾰ : σ) => S₂) (fun (i : σ) => MulZeroClass.toHasZero.{u2} S₂ (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S₂ (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4))))))))) p) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R S₂ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4))) (fun (_x : RingHom.{u1, u2} R S₂ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4))) => R -> S₂) (RingHom.hasCoeToFun.{u1, u2} R S₂ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4))) f (coeFn.{max (succ (max u3 u1)) (succ u1), max (succ (max u3 u1)) (succ u1)} (RingHom.{max u3 u1, u1} (MvPolynomial.{u3, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (fun (_x : RingHom.{max u3 u1, u1} (MvPolynomial.{u3, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) => (MvPolynomial.{u3, u1} σ R _inst_1) -> R) (RingHom.hasCoeToFun.{max u3 u1, u1} (MvPolynomial.{u3, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.constantCoeff.{u1, u3} R σ _inst_1) p))
-but is expected to have type
-  forall {R : Type.{u2}} {S₂ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_4 : CommSemiring.{u3} S₂] (f : RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (p : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{succ u3} S₂ (MvPolynomial.eval₂.{u2, u3, u1} R S₂ σ _inst_1 _inst_4 f (OfNat.ofNat.{max u3 u1} (σ -> S₂) 0 (Zero.toOfNat0.{max u3 u1} (σ -> S₂) (Pi.instZero.{u1, u3} σ (fun (a._@.Mathlib.Data.MvPolynomial.Basic._hyg.20853 : σ) => S₂) (fun (i : σ) => CommMonoidWithZero.toZero.{u3} S₂ (CommSemiring.toCommMonoidWithZero.{u3} S₂ _inst_4))))) p) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₂) _x) (MulHomClass.toFunLike.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) R S₂ (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) R S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)) (RingHom.instRingHomClassRingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)))))) f (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), succ u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) _x) (MulHomClass.toFunLike.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (RingHom.instRingHomClassRingHom.{max u1 u2, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))))) (MvPolynomial.constantCoeff.{u2, u1} R σ _inst_1) p))
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval₂_zero_apply MvPolynomial.eval₂_zero_applyₓ'. -/
 @[simp]
 theorem eval₂_zero_apply (f : R →+* S₂) (p : MvPolynomial σ R) :
     eval₂ f (0 : σ → S₂) p = f (constantCoeff p) :=
   eval₂Hom_zero_apply _ _
 #align mv_polynomial.eval₂_zero_apply MvPolynomial.eval₂_zero_apply
 
-/- warning: mv_polynomial.eval₂_zero'_apply -> MvPolynomial.eval₂_zero'_apply is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {S₂ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_4 : CommSemiring.{u2} S₂] (f : RingHom.{u1, u2} R S₂ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4))) (p : MvPolynomial.{u3, u1} σ R _inst_1), Eq.{succ u2} S₂ (MvPolynomial.eval₂.{u1, u2, u3} R S₂ σ _inst_1 _inst_4 f (fun (_x : σ) => OfNat.ofNat.{u2} S₂ 0 (OfNat.mk.{u2} S₂ 0 (Zero.zero.{u2} S₂ (MulZeroClass.toHasZero.{u2} S₂ (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S₂ (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4)))))))) p) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R S₂ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4))) (fun (_x : RingHom.{u1, u2} R S₂ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4))) => R -> S₂) (RingHom.hasCoeToFun.{u1, u2} R S₂ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4))) f (coeFn.{max (succ (max u3 u1)) (succ u1), max (succ (max u3 u1)) (succ u1)} (RingHom.{max u3 u1, u1} (MvPolynomial.{u3, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (fun (_x : RingHom.{max u3 u1, u1} (MvPolynomial.{u3, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) => (MvPolynomial.{u3, u1} σ R _inst_1) -> R) (RingHom.hasCoeToFun.{max u3 u1, u1} (MvPolynomial.{u3, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.constantCoeff.{u1, u3} R σ _inst_1) p))
-but is expected to have type
-  forall {R : Type.{u2}} {S₂ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_4 : CommSemiring.{u3} S₂] (f : RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (p : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{succ u3} S₂ (MvPolynomial.eval₂.{u2, u3, u1} R S₂ σ _inst_1 _inst_4 f (fun (_x : σ) => OfNat.ofNat.{u3} S₂ 0 (Zero.toOfNat0.{u3} S₂ (CommMonoidWithZero.toZero.{u3} S₂ (CommSemiring.toCommMonoidWithZero.{u3} S₂ _inst_4)))) p) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₂) _x) (MulHomClass.toFunLike.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) R S₂ (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) R S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)) (RingHom.instRingHomClassRingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)))))) f (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), succ u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) _x) (MulHomClass.toFunLike.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (RingHom.instRingHomClassRingHom.{max u1 u2, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))))) (MvPolynomial.constantCoeff.{u2, u1} R σ _inst_1) p))
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval₂_zero'_apply MvPolynomial.eval₂_zero'_applyₓ'. -/
 @[simp]
 theorem eval₂_zero'_apply (f : R →+* S₂) (p : MvPolynomial σ R) :
     eval₂ f (fun _ => 0 : σ → S₂) p = f (constantCoeff p) :=
   eval₂_zero_apply f p
 #align mv_polynomial.eval₂_zero'_apply MvPolynomial.eval₂_zero'_apply
 
-/- warning: mv_polynomial.aeval_zero -> MvPolynomial.aeval_zero is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.aeval_zero MvPolynomial.aeval_zeroₓ'. -/
 @[simp]
 theorem aeval_zero (p : MvPolynomial σ R) :
     aeval (0 : σ → S₁) p = algebraMap _ _ (constantCoeff p) :=
   eval₂Hom_zero_apply (algebraMap R S₁) p
 #align mv_polynomial.aeval_zero MvPolynomial.aeval_zero
 
-/- warning: mv_polynomial.aeval_zero' -> MvPolynomial.aeval_zero' is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.aeval_zero' MvPolynomial.aeval_zero'ₓ'. -/
 @[simp]
 theorem aeval_zero' (p : MvPolynomial σ R) :
     aeval (fun _ => 0 : σ → S₁) p = algebraMap _ _ (constantCoeff p) :=
   aeval_zero p
 #align mv_polynomial.aeval_zero' MvPolynomial.aeval_zero'
 
-/- warning: mv_polynomial.eval_zero -> MvPolynomial.eval_zero is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R], Eq.{max (succ (max u2 u1)) (succ u1)} (RingHom.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.eval.{u1, u2} R σ _inst_1 (OfNat.ofNat.{max u2 u1} (σ -> R) 0 (OfNat.mk.{max u2 u1} (σ -> R) 0 (Zero.zero.{max u2 u1} (σ -> R) (Pi.instZero.{u2, u1} σ (fun (ᾰ : σ) => R) (fun (i : σ) => MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))))))) (MvPolynomial.constantCoeff.{u1, u2} R σ _inst_1)
-but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R], Eq.{max (succ u2) (succ u1)} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.eval.{u2, u1} R σ _inst_1 (OfNat.ofNat.{max u2 u1} (σ -> R) 0 (Zero.toOfNat0.{max u2 u1} (σ -> R) (Pi.instZero.{u1, u2} σ (fun (a._@.Mathlib.Data.MvPolynomial.Basic._hyg.21149 : σ) => R) (fun (i : σ) => CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1)))))) (MvPolynomial.constantCoeff.{u2, u1} R σ _inst_1)
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval_zero MvPolynomial.eval_zeroₓ'. -/
 @[simp]
 theorem eval_zero : eval (0 : σ → R) = constantCoeff :=
   eval₂Hom_zero _
 #align mv_polynomial.eval_zero MvPolynomial.eval_zero
 
-/- warning: mv_polynomial.eval_zero' -> MvPolynomial.eval_zero' is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R], Eq.{max (succ (max u2 u1)) (succ u1)} (RingHom.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.eval.{u1, u2} R σ _inst_1 (fun (_x : σ) => OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))))))) (MvPolynomial.constantCoeff.{u1, u2} R σ _inst_1)
-but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R], Eq.{max (succ u2) (succ u1)} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.eval.{u2, u1} R σ _inst_1 (fun (_x : σ) => OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))))) (MvPolynomial.constantCoeff.{u2, u1} R σ _inst_1)
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval_zero' MvPolynomial.eval_zero'ₓ'. -/
 @[simp]
 theorem eval_zero' : eval (fun _ => 0 : σ → R) = constantCoeff :=
   eval₂Hom_zero _
 #align mv_polynomial.eval_zero' MvPolynomial.eval_zero'
 
-/- warning: mv_polynomial.aeval_monomial -> MvPolynomial.aeval_monomial is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.aeval_monomial MvPolynomial.aeval_monomialₓ'. -/
 theorem aeval_monomial (g : σ → S₁) (d : σ →₀ ℕ) (r : R) :
     aeval g (monomial d r) = algebraMap _ _ r * d.Prod fun i k => g i ^ k :=
   eval₂Hom_monomial _ _ _ _
 #align mv_polynomial.aeval_monomial MvPolynomial.aeval_monomial
 
-/- warning: mv_polynomial.eval₂_hom_eq_zero -> MvPolynomial.eval₂Hom_eq_zero is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {S₂ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_4 : CommSemiring.{u2} S₂] (f : RingHom.{u1, u2} R S₂ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4))) (g : σ -> S₂) (φ : MvPolynomial.{u3, u1} σ R _inst_1), (forall (d : Finsupp.{u3, 0} σ Nat Nat.hasZero), (Ne.{succ u1} R (MvPolynomial.coeff.{u1, u3} R σ _inst_1 d φ) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))))))) -> (Exists.{succ u3} σ (fun (i : σ) => Exists.{0} (Membership.Mem.{u3, u3} σ (Finset.{u3} σ) (Finset.hasMem.{u3} σ) i (Finsupp.support.{u3, 0} σ Nat Nat.hasZero d)) (fun (H : Membership.Mem.{u3, u3} σ (Finset.{u3} σ) (Finset.hasMem.{u3} σ) i (Finsupp.support.{u3, 0} σ Nat Nat.hasZero d)) => Eq.{succ u2} S₂ (g i) (OfNat.ofNat.{u2} S₂ 0 (OfNat.mk.{u2} S₂ 0 (Zero.zero.{u2} S₂ (MulZeroClass.toHasZero.{u2} S₂ (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S₂ (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4)))))))))))) -> (Eq.{succ u2} S₂ (coeFn.{max (succ (max u3 u1)) (succ u2), max (succ (max u3 u1)) (succ u2)} (RingHom.{max u3 u1, u2} (MvPolynomial.{u3, u1} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4))) (fun (_x : RingHom.{max u3 u1, u2} (MvPolynomial.{u3, u1} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4))) => (MvPolynomial.{u3, u1} σ R _inst_1) -> S₂) (RingHom.hasCoeToFun.{max u3 u1, u2} (MvPolynomial.{u3, u1} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4))) (MvPolynomial.eval₂Hom.{u1, u2, u3} R S₂ σ _inst_1 _inst_4 f g) φ) (OfNat.ofNat.{u2} S₂ 0 (OfNat.mk.{u2} S₂ 0 (Zero.zero.{u2} S₂ (MulZeroClass.toHasZero.{u2} S₂ (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S₂ (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4)))))))))
-but is expected to have type
-  forall {R : Type.{u2}} {S₂ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_4 : CommSemiring.{u3} S₂] (f : RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (g : σ -> S₂) (φ : MvPolynomial.{u1, u2} σ R _inst_1), (forall (d : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)), (Ne.{succ u2} R (MvPolynomial.coeff.{u2, u1} R σ _inst_1 d φ) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))))) -> (Exists.{succ u1} σ (fun (i : σ) => And (Membership.mem.{u1, u1} σ (Finset.{u1} σ) (Finset.instMembershipFinset.{u1} σ) i (Finsupp.support.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) d)) (Eq.{succ u3} S₂ (g i) (OfNat.ofNat.{u3} S₂ 0 (Zero.toOfNat0.{u3} S₂ (CommMonoidWithZero.toZero.{u3} S₂ (CommSemiring.toCommMonoidWithZero.{u3} S₂ _inst_4)))))))) -> (Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => S₂) φ) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u2) (succ u1), succ u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => S₂) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u3} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)) (RingHom.instRingHomClassRingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)))))) (MvPolynomial.eval₂Hom.{u2, u3, u1} R S₂ σ _inst_1 _inst_4 f g) φ) (OfNat.ofNat.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => S₂) φ) 0 (Zero.toOfNat0.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => S₂) φ) (CommMonoidWithZero.toZero.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => S₂) φ) (CommSemiring.toCommMonoidWithZero.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => S₂) φ) _inst_4)))))
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval₂_hom_eq_zero MvPolynomial.eval₂Hom_eq_zeroₓ'. -/
 theorem eval₂Hom_eq_zero (f : R →+* S₂) (g : σ → S₂) (φ : MvPolynomial σ R)
     (h : ∀ d, φ.coeff d ≠ 0 → ∃ i ∈ d.support, g i = 0) : eval₂Hom f g φ = 0 :=
   by
@@ -2454,25 +1539,16 @@ theorem eval₂Hom_eq_zero (f : R →+* S₂) (g : σ → S₂) (φ : MvPolynomi
   rwa [pos_iff_ne_zero, ← Finsupp.mem_support_iff]
 #align mv_polynomial.eval₂_hom_eq_zero MvPolynomial.eval₂Hom_eq_zero
 
-/- warning: mv_polynomial.aeval_eq_zero -> MvPolynomial.aeval_eq_zero is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.aeval_eq_zero MvPolynomial.aeval_eq_zeroₓ'. -/
 theorem aeval_eq_zero [Algebra R S₂] (f : σ → S₂) (φ : MvPolynomial σ R)
     (h : ∀ d, φ.coeff d ≠ 0 → ∃ i ∈ d.support, f i = 0) : aeval f φ = 0 :=
   eval₂Hom_eq_zero _ _ _ h
 #align mv_polynomial.aeval_eq_zero MvPolynomial.aeval_eq_zero
 
-/- warning: mv_polynomial.aeval_sum -> MvPolynomial.aeval_sum is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.aeval_sum MvPolynomial.aeval_sumₓ'. -/
 theorem aeval_sum {ι : Type _} (s : Finset ι) (φ : ι → MvPolynomial σ R) :
     aeval f (∑ i in s, φ i) = ∑ i in s, aeval f (φ i) :=
   (MvPolynomial.aeval f).map_sum _ _
 #align mv_polynomial.aeval_sum MvPolynomial.aeval_sum
 
-/- warning: mv_polynomial.aeval_prod -> MvPolynomial.aeval_prod is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.aeval_prod MvPolynomial.aeval_prodₓ'. -/
 @[to_additive]
 theorem aeval_prod {ι : Type _} (s : Finset ι) (φ : ι → MvPolynomial σ R) :
     aeval f (∏ i in s, φ i) = ∏ i in s, aeval f (φ i) :=
@@ -2482,12 +1558,6 @@ theorem aeval_prod {ι : Type _} (s : Finset ι) (φ : ι → MvPolynomial σ R)
 
 variable (R)
 
-/- warning: algebra.adjoin_range_eq_range_aeval -> Algebra.adjoin_range_eq_range_aeval is a dubious translation:
-lean 3 declaration is
-  forall (R : Type.{u1}) {S₁ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] [_inst_3 : Algebra.{u1, u2} R S₁ _inst_1 (CommSemiring.toSemiring.{u2} S₁ _inst_2)] (f : σ -> S₁), Eq.{succ u2} (Subalgebra.{u1, u2} R S₁ _inst_1 (CommSemiring.toSemiring.{u2} S₁ _inst_2) _inst_3) (Algebra.adjoin.{u1, u2} R S₁ _inst_1 (CommSemiring.toSemiring.{u2} S₁ _inst_2) _inst_3 (Set.range.{u2, succ u3} S₁ σ f)) (AlgHom.range.{u1, max u3 u1, u2} R (MvPolynomial.{u3, u1} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) (CommSemiring.toSemiring.{u2} S₁ _inst_2) _inst_3 (MvPolynomial.aeval.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 _inst_3 f))
-but is expected to have type
-  forall (R : Type.{u2}) {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] [_inst_3 : Algebra.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2)] (f : σ -> S₁), Eq.{succ u3} (Subalgebra.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3) (Algebra.adjoin.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3 (Set.range.{u3, succ u1} S₁ σ f)) (AlgHom.range.{u2, max u1 u2, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3 (MvPolynomial.aeval.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 _inst_3 f))
-Case conversion may be inaccurate. Consider using '#align algebra.adjoin_range_eq_range_aeval Algebra.adjoin_range_eq_range_aevalₓ'. -/
 theorem Algebra.adjoin_range_eq_range_aeval :
     Algebra.adjoin R (Set.range f) = (MvPolynomial.aeval f).range := by
   simp only [← Algebra.map_top, ← MvPolynomial.adjoin_range_X, AlgHom.map_adjoin, ← Set.range_comp,
@@ -2521,81 +1591,48 @@ def aevalTower (f : R →ₐ[S] A) (x : σ → A) : MvPolynomial σ R →ₐ[S]
 
 variable (g : R →ₐ[S] A) (y : σ → A)
 
-/- warning: mv_polynomial.aeval_tower_X -> MvPolynomial.aevalTower_X is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.aeval_tower_X MvPolynomial.aevalTower_Xₓ'. -/
 @[simp]
 theorem aevalTower_X (i : σ) : aevalTower g y (X i) = y i :=
   eval₂_X _ _ _
 #align mv_polynomial.aeval_tower_X MvPolynomial.aevalTower_X
 
-/- warning: mv_polynomial.aeval_tower_C -> MvPolynomial.aevalTower_C is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.aeval_tower_C MvPolynomial.aevalTower_Cₓ'. -/
 @[simp]
 theorem aevalTower_C (x : R) : aevalTower g y (C x) = g x :=
   eval₂_C _ _ _
 #align mv_polynomial.aeval_tower_C MvPolynomial.aevalTower_C
 
-/- warning: mv_polynomial.aeval_tower_comp_C -> MvPolynomial.aevalTower_comp_C is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.aeval_tower_comp_C MvPolynomial.aevalTower_comp_Cₓ'. -/
 @[simp]
 theorem aevalTower_comp_C : (aevalTower g y : MvPolynomial σ R →+* A).comp C = g :=
   RingHom.ext <| aevalTower_C _ _
 #align mv_polynomial.aeval_tower_comp_C MvPolynomial.aevalTower_comp_C
 
-/- warning: mv_polynomial.aeval_tower_algebra_map -> MvPolynomial.aevalTower_algebraMap is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.aeval_tower_algebra_map MvPolynomial.aevalTower_algebraMapₓ'. -/
 @[simp]
 theorem aevalTower_algebraMap (x : R) : aevalTower g y (algebraMap R (MvPolynomial σ R) x) = g x :=
   eval₂_C _ _ _
 #align mv_polynomial.aeval_tower_algebra_map MvPolynomial.aevalTower_algebraMap
 
-/- warning: mv_polynomial.aeval_tower_comp_algebra_map -> MvPolynomial.aevalTower_comp_algebraMap is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.aeval_tower_comp_algebra_map MvPolynomial.aevalTower_comp_algebraMapₓ'. -/
 @[simp]
 theorem aevalTower_comp_algebraMap :
     (aevalTower g y : MvPolynomial σ R →+* A).comp (algebraMap R (MvPolynomial σ R)) = g :=
   aevalTower_comp_C _ _
 #align mv_polynomial.aeval_tower_comp_algebra_map MvPolynomial.aevalTower_comp_algebraMap
 
-/- warning: mv_polynomial.aeval_tower_to_alg_hom -> MvPolynomial.aevalTower_toAlgHom is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.aeval_tower_to_alg_hom MvPolynomial.aevalTower_toAlgHomₓ'. -/
 theorem aevalTower_toAlgHom (x : R) :
     aevalTower g y (IsScalarTower.toAlgHom S R (MvPolynomial σ R) x) = g x :=
   aevalTower_algebraMap _ _ _
 #align mv_polynomial.aeval_tower_to_alg_hom MvPolynomial.aevalTower_toAlgHom
 
-/- warning: mv_polynomial.aeval_tower_comp_to_alg_hom -> MvPolynomial.aevalTower_comp_toAlgHom is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.aeval_tower_comp_to_alg_hom MvPolynomial.aevalTower_comp_toAlgHomₓ'. -/
 @[simp]
 theorem aevalTower_comp_toAlgHom :
     (aevalTower g y).comp (IsScalarTower.toAlgHom S R (MvPolynomial σ R)) = g :=
   AlgHom.coe_ringHom_injective <| aevalTower_comp_algebraMap _ _
 #align mv_polynomial.aeval_tower_comp_to_alg_hom MvPolynomial.aevalTower_comp_toAlgHom
 
-/- warning: mv_polynomial.aeval_tower_id -> MvPolynomial.aevalTower_id is a dubious translation:
-lean 3 declaration is
-  forall {σ : Type.{u1}} {S : Type.{u2}} [_inst_3 : CommSemiring.{u2} S], Eq.{max (max (succ u1) (succ u2)) (succ (max u1 u2)) (succ u2)} ((σ -> S) -> (AlgHom.{u2, max u1 u2, u2} S (MvPolynomial.{u1, u2} σ S _inst_3) S _inst_3 (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ S _inst_3) (MvPolynomial.commSemiring.{u2, u1} S σ _inst_3)) (CommSemiring.toSemiring.{u2} S _inst_3) (MvPolynomial.algebra.{u2, u2, u1} S S σ _inst_3 _inst_3 (Algebra.id.{u2} S _inst_3)) (Algebra.id.{u2} S _inst_3))) (MvPolynomial.aevalTower.{u2, u1, u2, u2} S σ _inst_3 S S _inst_3 _inst_3 (Algebra.id.{u2} S _inst_3) (Algebra.id.{u2} S _inst_3) (AlgHom.id.{u2, u2} S S _inst_3 (CommSemiring.toSemiring.{u2} S _inst_3) (Algebra.id.{u2} S _inst_3))) (MvPolynomial.aeval.{u2, u2, u1} S S σ _inst_3 _inst_3 (Algebra.id.{u2} S _inst_3))
-but is expected to have type
-  forall {σ : Type.{u2}} {S : Type.{u1}} [_inst_3 : CommSemiring.{u1} S], Eq.{max (succ u2) (succ u1)} ((σ -> S) -> (AlgHom.{u1, max u1 u2, u1} S (MvPolynomial.{u2, u1} σ S _inst_3) S _inst_3 (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ S _inst_3) (MvPolynomial.commSemiring.{u1, u2} S σ _inst_3)) (CommSemiring.toSemiring.{u1} S _inst_3) (MvPolynomial.algebra.{u1, u1, u2} S S σ _inst_3 _inst_3 (Algebra.id.{u1} S _inst_3)) (Algebra.id.{u1} S _inst_3))) (MvPolynomial.aevalTower.{u1, u2, u1, u1} S σ _inst_3 S S _inst_3 _inst_3 (Algebra.id.{u1} S _inst_3) (Algebra.id.{u1} S _inst_3) (AlgHom.id.{u1, u1} S S _inst_3 (CommSemiring.toSemiring.{u1} S _inst_3) (Algebra.id.{u1} S _inst_3))) (MvPolynomial.aeval.{u1, u1, u2} S S σ _inst_3 _inst_3 (Algebra.id.{u1} S _inst_3))
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.aeval_tower_id MvPolynomial.aevalTower_idₓ'. -/
 @[simp]
 theorem aevalTower_id : aevalTower (AlgHom.id S S) = (aeval : (σ → S) → MvPolynomial σ S →ₐ[S] S) :=
   by ext; simp only [aeval_tower_X, aeval_X]
 #align mv_polynomial.aeval_tower_id MvPolynomial.aevalTower_id
 
-/- warning: mv_polynomial.aeval_tower_of_id -> MvPolynomial.aevalTower_ofId is a dubious translation:
-lean 3 declaration is
-  forall {σ : Type.{u1}} {S : Type.{u2}} {A : Type.{u3}} [_inst_3 : CommSemiring.{u2} S] [_inst_4 : CommSemiring.{u3} A] [_inst_7 : Algebra.{u2, u3} S A _inst_3 (CommSemiring.toSemiring.{u3} A _inst_4)], Eq.{max (max (succ u1) (succ u3)) (succ (max u1 u2)) (succ u3)} ((σ -> A) -> (AlgHom.{u2, max u1 u2, u3} S (MvPolynomial.{u1, u2} σ S _inst_3) A _inst_3 (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ S _inst_3) (MvPolynomial.commSemiring.{u2, u1} S σ _inst_3)) (CommSemiring.toSemiring.{u3} A _inst_4) (MvPolynomial.algebra.{u2, u2, u1} S S σ _inst_3 _inst_3 (Algebra.id.{u2} S _inst_3)) _inst_7)) (MvPolynomial.aevalTower.{u2, u1, u2, u3} S σ _inst_3 S A _inst_3 _inst_4 (Algebra.id.{u2} S _inst_3) _inst_7 (Algebra.ofId.{u2, u3} S A _inst_3 (CommSemiring.toSemiring.{u3} A _inst_4) _inst_7)) (MvPolynomial.aeval.{u2, u3, u1} S A σ _inst_3 _inst_4 _inst_7)
-but is expected to have type
-  forall {σ : Type.{u3}} {S : Type.{u2}} {A : Type.{u1}} [_inst_3 : CommSemiring.{u2} S] [_inst_4 : CommSemiring.{u1} A] [_inst_7 : Algebra.{u2, u1} S A _inst_3 (CommSemiring.toSemiring.{u1} A _inst_4)], Eq.{max (max (succ u3) (succ u2)) (succ u1)} ((σ -> A) -> (AlgHom.{u2, max u2 u3, u1} S (MvPolynomial.{u3, u2} σ S _inst_3) A _inst_3 (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u3, u2} σ S _inst_3) (MvPolynomial.commSemiring.{u2, u3} S σ _inst_3)) (CommSemiring.toSemiring.{u1} A _inst_4) (MvPolynomial.algebra.{u2, u2, u3} S S σ _inst_3 _inst_3 (Algebra.id.{u2} S _inst_3)) _inst_7)) (MvPolynomial.aevalTower.{u2, u3, u2, u1} S σ _inst_3 S A _inst_3 _inst_4 (Algebra.id.{u2} S _inst_3) _inst_7 (Algebra.ofId.{u2, u1} S A _inst_3 (CommSemiring.toSemiring.{u1} A _inst_4) _inst_7)) (MvPolynomial.aeval.{u2, u1, u3} S A σ _inst_3 _inst_4 _inst_7)
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.aeval_tower_of_id MvPolynomial.aevalTower_ofIdₓ'. -/
 @[simp]
 theorem aevalTower_ofId :
     aevalTower (Algebra.ofId S A) = (aeval : (σ → A) → MvPolynomial σ S →ₐ[S] A) := by ext;
@@ -2608,9 +1645,6 @@ section EvalMem
 
 variable {S subS : Type _} [CommSemiring S] [SetLike subS S] [SubsemiringClass subS S]
 
-/- warning: mv_polynomial.eval₂_mem -> MvPolynomial.eval₂_mem is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval₂_mem MvPolynomial.eval₂_memₓ'. -/
 theorem eval₂_mem {f : R →+* S} {p : MvPolynomial σ R} {s : subS}
     (hs : ∀ i ∈ p.support, f (p.coeff i) ∈ s) {v : σ → S} (hv : ∀ i, v i ∈ s) :
     MvPolynomial.eval₂ f v p ∈ s := by
@@ -2637,9 +1671,6 @@ theorem eval₂_mem {f : R →+* S} {p : MvPolynomial σ R} {s : subS}
     · rwa [zero_add] at this
 #align mv_polynomial.eval₂_mem MvPolynomial.eval₂_mem
 
-/- warning: mv_polynomial.eval_mem -> MvPolynomial.eval_mem is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval_mem MvPolynomial.eval_memₓ'. -/
 theorem eval_mem {p : MvPolynomial σ S} {s : subS} (hs : ∀ i ∈ p.support, p.coeff i ∈ s) {v : σ → S}
     (hv : ∀ i, v i ∈ s) : MvPolynomial.eval v p ∈ s :=
   eval₂_mem hs hv

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

@@ -591,8 +591,7 @@ theorem induction_on_monomial {M : MvPolynomial σ R → Prop} (h_C : ∀ a, M (
   by
   intro s a
   apply @Finsupp.induction σ ℕ _ _ s
-  · show M (monomial 0 a)
-    exact h_C a
+  · show M (monomial 0 a); exact h_C a
   · intro n e p hpn he ih
     have : ∀ e : ℕ, M (monomial p a * X n ^ e) :=
       by
@@ -665,9 +664,7 @@ theorem induction_on {M : MvPolynomial σ R → Prop} (p : MvPolynomial σ R) (h
 <too large>
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.ring_hom_ext MvPolynomial.ringHom_extₓ'. -/
 theorem ringHom_ext {A : Type _} [Semiring A] {f g : MvPolynomial σ R →+* A}
-    (hC : ∀ r, f (C r) = g (C r)) (hX : ∀ i, f (X i) = g (X i)) : f = g :=
-  by
-  ext
+    (hC : ∀ r, f (C r) = g (C r)) (hX : ∀ i, f (X i) = g (X i)) : f = g := by ext;
   exacts[hC _, hX _]
 #align mv_polynomial.ring_hom_ext MvPolynomial.ringHom_ext
 
@@ -1253,16 +1250,11 @@ theorem coeff_mul_monomial' (m) (s : σ →₀ ℕ) (r : R) (p : MvPolynomial σ
     · conv_rhs => rw [← coeff_mul_monomial _ s]
       congr with t
       rw [tsub_add_cancel_of_le h]
-    · rw [← not_mem_support_iff]
-      intro hm
-      apply h
-      have H := support_mul _ _ hm
-      simp only [Finset.mem_biUnion] at H
+    · rw [← not_mem_support_iff]; intro hm; apply h
+      have H := support_mul _ _ hm; simp only [Finset.mem_biUnion] at H
       rcases H with ⟨j, hj, i', hi', H⟩
-      rw [support_monomial, if_neg hr, Finset.mem_singleton] at hi'
-      subst i'
-      rw [Finset.mem_singleton] at H
-      subst m
+      rw [support_monomial, if_neg hr, Finset.mem_singleton] at hi'; subst i'
+      rw [Finset.mem_singleton] at H; subst m
       exact le_add_left le_rfl
 #align mv_polynomial.coeff_mul_monomial' MvPolynomial.coeff_mul_monomial'
 
@@ -1311,9 +1303,7 @@ lean 3 declaration is
 but is expected to have type
   forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] {p : MvPolynomial.{u1, u2} σ R _inst_1}, Iff (Eq.{max (succ u2) (succ u1)} (MvPolynomial.{u1, u2} σ R _inst_1) p (OfNat.ofNat.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) 0 (Zero.toOfNat0.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommMonoidWithZero.toZero.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toCommMonoidWithZero.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (forall (d : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)), Eq.{succ u2} R (MvPolynomial.coeff.{u2, u1} R σ _inst_1 d p) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1)))))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.eq_zero_iff MvPolynomial.eq_zero_iffₓ'. -/
-theorem eq_zero_iff {p : MvPolynomial σ R} : p = 0 ↔ ∀ d, coeff d p = 0 :=
-  by
-  rw [ext_iff]
+theorem eq_zero_iff {p : MvPolynomial σ R} : p = 0 ↔ ∀ d, coeff d p = 0 := by rw [ext_iff];
   simp only [coeff_zero]
 #align mv_polynomial.eq_zero_iff MvPolynomial.eq_zero_iff
 
@@ -1323,10 +1313,8 @@ lean 3 declaration is
 but is expected to have type
   forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] {p : MvPolynomial.{u1, u2} σ R _inst_1}, Iff (Ne.{max (succ u2) (succ u1)} (MvPolynomial.{u1, u2} σ R _inst_1) p (OfNat.ofNat.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) 0 (Zero.toOfNat0.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommMonoidWithZero.toZero.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toCommMonoidWithZero.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (Exists.{succ u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (fun (d : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => Ne.{succ u2} R (MvPolynomial.coeff.{u2, u1} R σ _inst_1 d p) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))))))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.ne_zero_iff MvPolynomial.ne_zero_iffₓ'. -/
-theorem ne_zero_iff {p : MvPolynomial σ R} : p ≠ 0 ↔ ∃ d, coeff d p ≠ 0 :=
-  by
-  rw [Ne.def, eq_zero_iff]
-  push_neg
+theorem ne_zero_iff {p : MvPolynomial σ R} : p ≠ 0 ↔ ∃ d, coeff d p ≠ 0 := by
+  rw [Ne.def, eq_zero_iff]; push_neg
 #align mv_polynomial.ne_zero_iff MvPolynomial.ne_zero_iff
 
 /- warning: mv_polynomial.support_eq_empty -> MvPolynomial.support_eq_empty is a dubious translation:
@@ -1359,9 +1347,7 @@ Case conversion may be inaccurate. Consider using '#align mv_polynomial.C_dvd_if
 theorem C_dvd_iff_dvd_coeff (r : R) (φ : MvPolynomial σ R) : C r ∣ φ ↔ ∀ i, r ∣ φ.coeff i :=
   by
   constructor
-  · rintro ⟨φ, rfl⟩ c
-    rw [coeff_C_mul]
-    apply dvd_mul_right
+  · rintro ⟨φ, rfl⟩ c; rw [coeff_C_mul]; apply dvd_mul_right
   · intro h
     choose c hc using h
     classical
@@ -1373,8 +1359,7 @@ theorem C_dvd_iff_dvd_coeff (r : R) (φ : MvPolynomial σ R) : C r ∣ φ ↔ 
       simp only [coeff_C_mul, coeff_sum, coeff_monomial, Finset.sum_ite_eq', c']
       split_ifs with hi hi
       · rw [hc]
-      · rw [not_mem_support_iff] at hi
-        rwa [MulZeroClass.mul_zero]
+      · rw [not_mem_support_iff] at hi; rwa [MulZeroClass.mul_zero]
 #align mv_polynomial.C_dvd_iff_dvd_coeff MvPolynomial.C_dvd_iff_dvd_coeff
 
 end Coeff
@@ -1458,10 +1443,8 @@ but is expected to have type
   forall (R : Type.{u2}) (σ : Type.{u1}) [_inst_1 : CommSemiring.{u2} R], Eq.{succ u2} (RingHom.{u2, u2} R R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.comp.{u2, max u1 u2, u2} R (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.constantCoeff.{u2, u1} R σ _inst_1) (MvPolynomial.C.{u2, u1} R σ _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.constant_coeff_comp_C MvPolynomial.constantCoeff_comp_Cₓ'. -/
 @[simp]
-theorem constantCoeff_comp_C : constantCoeff.comp (C : R →+* MvPolynomial σ R) = RingHom.id R :=
-  by
-  ext x
-  exact constant_coeff_C σ x
+theorem constantCoeff_comp_C : constantCoeff.comp (C : R →+* MvPolynomial σ R) = RingHom.id R := by
+  ext x; exact constant_coeff_C σ x
 #align mv_polynomial.constant_coeff_comp_C MvPolynomial.constantCoeff_comp_C
 
 /- warning: mv_polynomial.constant_coeff_comp_algebra_map -> MvPolynomial.constantCoeff_comp_algebraMap is a dubious translation:
@@ -1534,10 +1517,8 @@ but is expected to have type
   forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] [_inst_3 : Fintype.{u1} σ] (g : RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (x : σ -> S₁) (f : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{succ u3} S₁ (MvPolynomial.eval₂.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 g x f) (Finset.sum.{u3, u1} S₁ (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (MvPolynomial.support.{u2, u1} R σ _inst_1 f) (fun (d : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => HMul.hMul.{u3, u3, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) (MvPolynomial.coeff.{u2, u1} R σ _inst_1 d f)) S₁ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) (MvPolynomial.coeff.{u2, u1} R σ _inst_1 d f)) (instHMul.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) (MvPolynomial.coeff.{u2, u1} R σ _inst_1 d f)) (NonUnitalNonAssocSemiring.toMul.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) (MvPolynomial.coeff.{u2, u1} R σ _inst_1 d f)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) (MvPolynomial.coeff.{u2, u1} R σ _inst_1 d f)) (Semiring.toNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) (MvPolynomial.coeff.{u2, u1} R σ _inst_1 d f)) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) (MvPolynomial.coeff.{u2, u1} R σ _inst_1 d f)) _inst_2))))) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) _x) (MulHomClass.toFunLike.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) g (MvPolynomial.coeff.{u2, u1} R σ _inst_1 d f)) (Finset.prod.{u3, u1} S₁ σ (CommSemiring.toCommMonoid.{u3} S₁ _inst_2) (Finset.univ.{u1} σ _inst_3) (fun (i : σ) => HPow.hPow.{u3, 0, u3} S₁ ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : σ) => Nat) i) S₁ (instHPow.{u3, 0} S₁ ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : σ) => Nat) i) (Monoid.Pow.{u3} S₁ (MonoidWithZero.toMonoid.{u3} S₁ (Semiring.toMonoidWithZero.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))))) (x i) (FunLike.coe.{succ u1, succ u1, 1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) σ (fun (_x : σ) => (fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : σ) => Nat) _x) (Finsupp.funLike.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) d i)))))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval₂_eq' MvPolynomial.eval₂_eq'ₓ'. -/
 theorem eval₂_eq' [Fintype σ] (g : R →+* S₁) (x : σ → S₁) (f : MvPolynomial σ R) :
-    f.eval₂ g x = ∑ d in f.support, g (f.coeff d) * ∏ i, x i ^ d i :=
-  by
-  simp only [eval₂_eq, ← Finsupp.prod_pow]
-  rfl
+    f.eval₂ g x = ∑ d in f.support, g (f.coeff d) * ∏ i, x i ^ d i := by
+  simp only [eval₂_eq, ← Finsupp.prod_pow]; rfl
 #align mv_polynomial.eval₂_eq' MvPolynomial.eval₂_eq'
 
 /- warning: mv_polynomial.eval₂_zero -> MvPolynomial.eval₂_zero is a dubious translation:
@@ -1614,8 +1595,7 @@ theorem eval₂_mul_monomial :
     apply MvPolynomial.induction_on p
     · intro a' s a
       simp [C_mul_monomial, eval₂_monomial, f.map_mul]
-    · intro p q ih_p ih_q
-      simp [add_mul, eval₂_add, ih_p, ih_q]
+    · intro p q ih_p ih_q; simp [add_mul, eval₂_add, ih_p, ih_q]
     · intro p n ih s a
       exact
         calc
@@ -1657,9 +1637,7 @@ but is expected to have type
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval₂_pow MvPolynomial.eval₂_powₓ'. -/
 @[simp]
 theorem eval₂_pow {p : MvPolynomial σ R} : ∀ {n : ℕ}, (p ^ n).eval₂ f g = p.eval₂ f g ^ n
-  | 0 => by
-    rw [pow_zero, pow_zero]
-    exact eval₂_one _ _
+  | 0 => by rw [pow_zero, pow_zero]; exact eval₂_one _ _
   | n + 1 => by rw [pow_add, pow_one, pow_add, pow_one, eval₂_mul, eval₂_pow]
 #align mv_polynomial.eval₂_pow MvPolynomial.eval₂_pow
 
@@ -1726,20 +1704,16 @@ theorem comp_eval₂Hom [CommSemiring S₂] (f : R →+* S₁) (g : σ → S₁)
     φ.comp (eval₂Hom f g) = eval₂Hom (φ.comp f) fun i => φ (g i) :=
   by
   apply MvPolynomial.ringHom_ext
-  · intro r
-    rw [RingHom.comp_apply, eval₂_hom_C, eval₂_hom_C, RingHom.comp_apply]
-  · intro i
-    rw [RingHom.comp_apply, eval₂_hom_X', eval₂_hom_X']
+  · intro r; rw [RingHom.comp_apply, eval₂_hom_C, eval₂_hom_C, RingHom.comp_apply]
+  · intro i; rw [RingHom.comp_apply, eval₂_hom_X', eval₂_hom_X']
 #align mv_polynomial.comp_eval₂_hom MvPolynomial.comp_eval₂Hom
 
 /- warning: mv_polynomial.map_eval₂_hom -> MvPolynomial.map_eval₂Hom is a dubious translation:
 <too large>
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.map_eval₂_hom MvPolynomial.map_eval₂Homₓ'. -/
 theorem map_eval₂Hom [CommSemiring S₂] (f : R →+* S₁) (g : σ → S₁) (φ : S₁ →+* S₂)
-    (p : MvPolynomial σ R) : φ (eval₂Hom f g p) = eval₂Hom (φ.comp f) (fun i => φ (g i)) p :=
-  by
-  rw [← comp_eval₂_hom]
-  rfl
+    (p : MvPolynomial σ R) : φ (eval₂Hom f g p) = eval₂Hom (φ.comp f) (fun i => φ (g i)) p := by
+  rw [← comp_eval₂_hom]; rfl
 #align mv_polynomial.map_eval₂_hom MvPolynomial.map_eval₂Hom
 
 /- warning: mv_polynomial.eval₂_hom_monomial -> MvPolynomial.eval₂Hom_monomial is a dubious translation:
@@ -2014,10 +1988,8 @@ theorem map_map [CommSemiring S₂] (g : S₁ →+* S₂) (p : MvPolynomial σ R
   (eval₂_comp_left (map g) (C.comp f) X p).trans <|
     by
     congr
-    · ext1 a
-      simp only [map_C, comp_app, RingHom.coe_comp]
-    · ext1 n
-      simp only [map_X, comp_app]
+    · ext1 a; simp only [map_C, comp_app, RingHom.coe_comp]
+    · ext1 n; simp only [map_X, comp_app]
 #align mv_polynomial.map_map MvPolynomial.map_map
 
 /- warning: mv_polynomial.eval₂_eq_eval_map -> MvPolynomial.eval₂_eq_eval_map is a dubious translation:
@@ -2030,10 +2002,8 @@ theorem eval₂_eq_eval_map (g : σ → S₁) (p : MvPolynomial σ R) : p.eval
   dsimp at h
   rw [h]
   congr
-  · ext1 a
-    simp only [coe_eval₂_hom, RingHom.id_apply, comp_app, eval₂_C, RingHom.coe_comp]
-  · ext1 n
-    simp only [comp_app, eval₂_X]
+  · ext1 a; simp only [coe_eval₂_hom, RingHom.id_apply, comp_app, eval₂_C, RingHom.coe_comp]
+  · ext1 n; simp only [comp_app, eval₂_X]
 #align mv_polynomial.eval₂_eq_eval_map MvPolynomial.eval₂_eq_eval_map
 
 /- warning: mv_polynomial.eval₂_comp_right -> MvPolynomial.eval₂_comp_right is a dubious translation:
@@ -2043,10 +2013,8 @@ theorem eval₂_comp_right {S₂} [CommSemiring S₂] (k : S₁ →+* S₂) (f :
     k (eval₂ f g p) = eval₂ k (k ∘ g) (map f p) :=
   by
   apply MvPolynomial.induction_on p
-  · intro r
-    rw [eval₂_C, map_C, eval₂_C]
-  · intro p q hp hq
-    rw [eval₂_add, k.map_add, (map f).map_add, eval₂_add, hp, hq]
+  · intro r; rw [eval₂_C, map_C, eval₂_C]
+  · intro p q hp hq; rw [eval₂_add, k.map_add, (map f).map_add, eval₂_add, hp, hq]
   · intro p s hp
     rw [eval₂_mul, k.map_mul, (map f).map_mul, eval₂_mul, map_X, hp, eval₂_X, eval₂_X]
 #align mv_polynomial.eval₂_comp_right MvPolynomial.eval₂_comp_right
@@ -2058,10 +2026,8 @@ theorem map_eval₂ (f : R →+* S₁) (g : S₂ → MvPolynomial S₃ R) (p : M
     map f (eval₂ C g p) = eval₂ C (map f ∘ g) (map f p) :=
   by
   apply MvPolynomial.induction_on p
-  · intro r
-    rw [eval₂_C, map_C, map_C, eval₂_C]
-  · intro p q hp hq
-    rw [eval₂_add, (map f).map_add, hp, hq, (map f).map_add, eval₂_add]
+  · intro r; rw [eval₂_C, map_C, map_C, eval₂_C]
+  · intro p q hp hq; rw [eval₂_add, (map f).map_add, hp, hq, (map f).map_add, eval₂_add]
   · intro p s hp
     rw [eval₂_mul, (map f).map_mul, hp, (map f).map_mul, map_X, eval₂_mul, eval₂_X, eval₂_X]
 #align mv_polynomial.map_eval₂ MvPolynomial.map_eval₂
@@ -2072,20 +2038,11 @@ Case conversion may be inaccurate. Consider using '#align mv_polynomial.coeff_ma
 theorem coeff_map (p : MvPolynomial σ R) : ∀ m : σ →₀ ℕ, coeff m (map f p) = f (coeff m p) := by
   classical
     apply MvPolynomial.induction_on p <;> clear p
-    · intro r m
-      rw [map_C]
-      simp only [coeff_C]
-      split_ifs
-      · rfl
-      rw [f.map_zero]
-    · intro p q hp hq m
-      simp only [hp, hq, (map f).map_add, coeff_add]
-      rw [f.map_add]
-    · intro p i hp m
-      simp only [hp, (map f).map_mul, map_X]
+    · intro r m; rw [map_C]; simp only [coeff_C]; split_ifs; · rfl; rw [f.map_zero]
+    · intro p q hp hq m; simp only [hp, hq, (map f).map_add, coeff_add]; rw [f.map_add]
+    · intro p i hp m; simp only [hp, (map f).map_mul, map_X]
       simp only [hp, mem_support_iff, coeff_mul_X']
-      split_ifs
-      · rfl
+      split_ifs; · rfl
       rw [f.map_zero]
 #align mv_polynomial.coeff_map MvPolynomial.coeff_map
 
@@ -2334,10 +2291,7 @@ theorem aeval_C (r : R) : aeval f (C r) = algebraMap R S₁ r :=
 /- warning: mv_polynomial.aeval_unique -> MvPolynomial.aeval_unique is a dubious translation:
 <too large>
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.aeval_unique MvPolynomial.aeval_uniqueₓ'. -/
-theorem aeval_unique (φ : MvPolynomial σ R →ₐ[R] S₁) : φ = aeval (φ ∘ X) :=
-  by
-  ext i
-  simp
+theorem aeval_unique (φ : MvPolynomial σ R →ₐ[R] S₁) : φ = aeval (φ ∘ X) := by ext i; simp
 #align mv_polynomial.aeval_unique MvPolynomial.aeval_unique
 
 /- warning: mv_polynomial.aeval_X_left -> MvPolynomial.aeval_X_left is a dubious translation:
@@ -2361,10 +2315,7 @@ theorem aeval_X_left_apply (p : MvPolynomial σ R) : aeval X p = p :=
 <too large>
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.comp_aeval MvPolynomial.comp_aevalₓ'. -/
 theorem comp_aeval {B : Type _} [CommSemiring B] [Algebra R B] (φ : S₁ →ₐ[R] B) :
-    φ.comp (aeval f) = aeval fun i => φ (f i) :=
-  by
-  ext i
-  simp
+    φ.comp (aeval f) = aeval fun i => φ (f i) := by ext i; simp
 #align mv_polynomial.comp_aeval MvPolynomial.comp_aeval
 
 /- warning: mv_polynomial.map_aeval -> MvPolynomial.map_aeval is a dubious translation:
@@ -2372,10 +2323,8 @@ theorem comp_aeval {B : Type _} [CommSemiring B] [Algebra R B] (φ : S₁ →ₐ
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.map_aeval MvPolynomial.map_aevalₓ'. -/
 @[simp]
 theorem map_aeval {B : Type _} [CommSemiring B] (g : σ → S₁) (φ : S₁ →+* B) (p : MvPolynomial σ R) :
-    φ (aeval g p) = eval₂Hom (φ.comp (algebraMap R S₁)) (fun i => φ (g i)) p :=
-  by
-  rw [← comp_eval₂_hom]
-  rfl
+    φ (aeval g p) = eval₂Hom (φ.comp (algebraMap R S₁)) (fun i => φ (g i)) p := by
+  rw [← comp_eval₂_hom]; rfl
 #align mv_polynomial.map_aeval MvPolynomial.map_aeval
 
 /- warning: mv_polynomial.eval₂_hom_zero -> MvPolynomial.eval₂Hom_zero is a dubious translation:
@@ -2638,9 +2587,7 @@ but is expected to have type
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.aeval_tower_id MvPolynomial.aevalTower_idₓ'. -/
 @[simp]
 theorem aevalTower_id : aevalTower (AlgHom.id S S) = (aeval : (σ → S) → MvPolynomial σ S →ₐ[S] S) :=
-  by
-  ext
-  simp only [aeval_tower_X, aeval_X]
+  by ext; simp only [aeval_tower_X, aeval_X]
 #align mv_polynomial.aeval_tower_id MvPolynomial.aevalTower_id
 
 /- warning: mv_polynomial.aeval_tower_of_id -> MvPolynomial.aevalTower_ofId is a dubious translation:
@@ -2651,9 +2598,7 @@ but is expected to have type
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.aeval_tower_of_id MvPolynomial.aevalTower_ofIdₓ'. -/
 @[simp]
 theorem aevalTower_ofId :
-    aevalTower (Algebra.ofId S A) = (aeval : (σ → A) → MvPolynomial σ S →ₐ[S] A) :=
-  by
-  ext
+    aevalTower (Algebra.ofId S A) = (aeval : (σ → A) → MvPolynomial σ S →ₐ[S] A) := by ext;
   simp only [aeval_X, aeval_tower_X]
 #align mv_polynomial.aeval_tower_of_id MvPolynomial.aevalTower_ofId
 

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

@@ -186,10 +186,7 @@ theorem single_eq_monomial (s : σ →₀ ℕ) (a : R) : single s a = monomial s
 #align mv_polynomial.single_eq_monomial MvPolynomial.single_eq_monomial
 
 /- warning: mv_polynomial.mul_def -> MvPolynomial.mul_def is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {p : MvPolynomial.{u2, u1} σ R _inst_1} {q : MvPolynomial.{u2, u1} σ R _inst_1}, Eq.{succ (max u2 u1)} (MvPolynomial.{u2, u1} σ R _inst_1) (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Distrib.toHasMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))) p q) (Finsupp.sum.{u2, u1, max u2 u1} (Finsupp.{u2, 0} σ Nat Nat.hasZero) R (MvPolynomial.{u2, u1} σ R _inst_1) (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) p (fun (m : Finsupp.{u2, 0} σ Nat Nat.hasZero) (a : R) => Finsupp.sum.{u2, u1, max u2 u1} (Finsupp.{u2, 0} σ Nat Nat.hasZero) R (MvPolynomial.{u2, u1} σ R _inst_1) (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) q (fun (n : Finsupp.{u2, 0} σ Nat Nat.hasZero) (b : R) => coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 (HAdd.hAdd.{u2, u2, u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.{u2, 0} σ Nat Nat.hasZero) (instHAdd.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.add.{u2, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid))) m n)) (HMul.hMul.{u1, u1, u1} R R R (instHMul.{u1} R (Distrib.toHasMul.{u1} R (NonUnitalNonAssocSemiring.toDistrib.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))) a b))))
-but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] {p : MvPolynomial.{u1, u2} σ R _inst_1} {q : MvPolynomial.{u1, u2} σ R _inst_1}, Eq.{max (succ u2) (succ u1)} (MvPolynomial.{u1, u2} σ R _inst_1) (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) p q) (Finsupp.sum.{u1, u2, max u2 u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (MvPolynomial.{u1, u2} σ R _inst_1) (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) p (fun (m : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (a : R) => Finsupp.sum.{u1, u2, max u2 u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (MvPolynomial.{u1, u2} σ R _inst_1) (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) q (fun (n : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (b : R) => FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 (HAdd.hAdd.{u1, u1, u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (instHAdd.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.add.{u1, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid))) m n)) (HMul.hMul.{u2, u2, u2} R R R (instHMul.{u2} R (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) a b))))
+<too large>
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.mul_def MvPolynomial.mul_defₓ'. -/
 theorem mul_def : p * q = p.Sum fun m a => q.Sum fun n b => monomial (m + n) (a * b) :=
   rfl
@@ -235,10 +232,7 @@ theorem monomial_left_injective {r : R} (hr : r ≠ 0) :
 #align mv_polynomial.monomial_left_injective MvPolynomial.monomial_left_injective
 
 /- warning: mv_polynomial.monomial_left_inj -> MvPolynomial.monomial_left_inj is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {s : Finsupp.{u2, 0} σ Nat Nat.hasZero} {t : Finsupp.{u2, 0} σ Nat Nat.hasZero} {r : R}, (Ne.{succ u1} R r (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))))))) -> (Iff (Eq.{max (succ u2) (succ u1)} (MvPolynomial.{u2, u1} σ R _inst_1) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 s) r) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 t) r)) (Eq.{succ u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) s t))
-but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] {s : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)} {t : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)} {r : R}, (Ne.{succ u2} R r (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))))) -> (Iff (Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) r) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s) r) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 t) r)) (Eq.{succ u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) s t))
+<too large>
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.monomial_left_inj MvPolynomial.monomial_left_injₓ'. -/
 @[simp]
 theorem monomial_left_inj {s t : σ →₀ ℕ} {r : R} (hr : r ≠ 0) :
@@ -247,10 +241,7 @@ theorem monomial_left_inj {s t : σ →₀ ℕ} {r : R} (hr : r ≠ 0) :
 #align mv_polynomial.monomial_left_inj MvPolynomial.monomial_left_inj
 
 /- warning: mv_polynomial.C_apply -> MvPolynomial.C_apply is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {σ : Type.{u2}} {a : R} [_inst_1 : CommSemiring.{u1} R], Eq.{max (succ u2) (succ u1)} (MvPolynomial.{u2, u1} σ R _inst_1) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (fun (_x : RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (MvPolynomial.C.{u1, u2} R σ _inst_1) a) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 (OfNat.ofNat.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) 0 (OfNat.mk.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) 0 (Zero.zero.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.zero.{u2, 0} σ Nat Nat.hasZero))))) a)
-but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} {a : R} [_inst_1 : CommSemiring.{u2} R], Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) a) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 (OfNat.ofNat.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) 0 (Zero.toOfNat0.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.zero.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))))) a)
+<too large>
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.C_apply MvPolynomial.C_applyₓ'. -/
 theorem C_apply : (C a : MvPolynomial σ R) = monomial 0 a :=
   rfl
@@ -278,20 +269,14 @@ theorem C_1 : C 1 = (1 : MvPolynomial σ R) :=
 #align mv_polynomial.C_1 MvPolynomial.C_1
 
 /- warning: mv_polynomial.C_mul_monomial -> MvPolynomial.C_mul_monomial is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {σ : Type.{u2}} {a : R} {a' : R} {s : Finsupp.{u2, 0} σ Nat Nat.hasZero} [_inst_1 : CommSemiring.{u1} R], Eq.{succ (max u2 u1)} (MvPolynomial.{u2, u1} σ R _inst_1) (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Distrib.toHasMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (fun (_x : RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (MvPolynomial.C.{u1, u2} R σ _inst_1) a) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 s) a')) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 s) (HMul.hMul.{u1, u1, u1} R R R (instHMul.{u1} R (Distrib.toHasMul.{u1} R (NonUnitalNonAssocSemiring.toDistrib.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))) a a'))
-but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} {a : R} {a' : R} {s : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)} [_inst_1 : CommSemiring.{u2} R], Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) (HMul.hMul.{u2, u2, u2} R R R (instHMul.{u2} R (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) a a')) (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a') ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) (HMul.hMul.{u2, u2, u2} R R R (instHMul.{u2} R (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) a a')) (instHMul.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (Semiring.toNonAssocSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (CommSemiring.toSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) a) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s) a')) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s) (HMul.hMul.{u2, u2, u2} R R R (instHMul.{u2} R (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) a a'))
+<too large>
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.C_mul_monomial MvPolynomial.C_mul_monomialₓ'. -/
 theorem C_mul_monomial : C a * monomial s a' = monomial s (a * a') := by
   simp [C_apply, monomial, single_mul_single]
 #align mv_polynomial.C_mul_monomial MvPolynomial.C_mul_monomial
 
 /- warning: mv_polynomial.C_add -> MvPolynomial.C_add is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {σ : Type.{u2}} {a : R} {a' : R} [_inst_1 : CommSemiring.{u1} R], Eq.{max (succ u2) (succ u1)} (MvPolynomial.{u2, u1} σ R _inst_1) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (fun (_x : RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (MvPolynomial.C.{u1, u2} R σ _inst_1) (HAdd.hAdd.{u1, u1, u1} R R R (instHAdd.{u1} R (Distrib.toHasAdd.{u1} R (NonUnitalNonAssocSemiring.toDistrib.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))) a a')) (HAdd.hAdd.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (instHAdd.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Distrib.toHasAdd.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (fun (_x : RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (MvPolynomial.C.{u1, u2} R σ _inst_1) a) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (fun (_x : RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (MvPolynomial.C.{u1, u2} R σ _inst_1) a'))
-but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} {a : R} {a' : R} [_inst_1 : CommSemiring.{u2} R], Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) (HAdd.hAdd.{u2, u2, u2} R R R (instHAdd.{u2} R (Distrib.toAdd.{u2} R (NonUnitalNonAssocSemiring.toDistrib.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))))) a a')) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) (HAdd.hAdd.{u2, u2, u2} R R R (instHAdd.{u2} R (Distrib.toAdd.{u2} R (NonUnitalNonAssocSemiring.toDistrib.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))))) a a')) (HAdd.hAdd.{max u2 u1, max u2 u1, max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a') ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) (HAdd.hAdd.{u2, u2, u2} R R R (instHAdd.{u2} R (Distrib.toAdd.{u2} R (NonUnitalNonAssocSemiring.toDistrib.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))))) a a')) (instHAdd.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (Distrib.toAdd.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (NonUnitalNonAssocSemiring.toDistrib.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (Semiring.toNonAssocSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (CommSemiring.toSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) a) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) a'))
+<too large>
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.C_add MvPolynomial.C_addₓ'. -/
 @[simp]
 theorem C_add : (C (a + a') : MvPolynomial σ R) = C a + C a' :=
@@ -299,10 +284,7 @@ theorem C_add : (C (a + a') : MvPolynomial σ R) = C a + C a' :=
 #align mv_polynomial.C_add MvPolynomial.C_add
 
 /- warning: mv_polynomial.C_mul -> MvPolynomial.C_mul is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {σ : Type.{u2}} {a : R} {a' : R} [_inst_1 : CommSemiring.{u1} R], Eq.{max (succ u2) (succ u1)} (MvPolynomial.{u2, u1} σ R _inst_1) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (fun (_x : RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (MvPolynomial.C.{u1, u2} R σ _inst_1) (HMul.hMul.{u1, u1, u1} R R R (instHMul.{u1} R (Distrib.toHasMul.{u1} R (NonUnitalNonAssocSemiring.toDistrib.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))) a a')) (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Distrib.toHasMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (fun (_x : RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (MvPolynomial.C.{u1, u2} R σ _inst_1) a) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (fun (_x : RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (MvPolynomial.C.{u1, u2} R σ _inst_1) a'))
-but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} {a : R} {a' : R} [_inst_1 : CommSemiring.{u2} R], Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) (HMul.hMul.{u2, u2, u2} R R R (instHMul.{u2} R (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) a a')) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) (HMul.hMul.{u2, u2, u2} R R R (instHMul.{u2} R (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) a a')) (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a') ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) (HMul.hMul.{u2, u2, u2} R R R (instHMul.{u2} R (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) a a')) (instHMul.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (Semiring.toNonAssocSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (CommSemiring.toSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) a) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) a'))
+<too large>
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.C_mul MvPolynomial.C_mulₓ'. -/
 @[simp]
 theorem C_mul : (C (a * a') : MvPolynomial σ R) = C a * C a' :=
@@ -310,10 +292,7 @@ theorem C_mul : (C (a * a') : MvPolynomial σ R) = C a * C a' :=
 #align mv_polynomial.C_mul MvPolynomial.C_mul
 
 /- warning: mv_polynomial.C_pow -> MvPolynomial.C_pow is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] (a : R) (n : Nat), Eq.{max (succ u2) (succ u1)} (MvPolynomial.{u2, u1} σ R _inst_1) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (fun (_x : RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (MvPolynomial.C.{u1, u2} R σ _inst_1) (HPow.hPow.{u1, 0, u1} R Nat R (instHPow.{u1, 0} R Nat (Monoid.Pow.{u1} R (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) a n)) (HPow.hPow.{max u2 u1, 0, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) Nat (MvPolynomial.{u2, u1} σ R _inst_1) (instHPow.{max u2 u1, 0} (MvPolynomial.{u2, u1} σ R _inst_1) Nat (Monoid.Pow.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MonoidWithZero.toMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toMonoidWithZero.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))))) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (fun (_x : RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (MvPolynomial.C.{u1, u2} R σ _inst_1) a) n)
-but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] (a : R) (n : Nat), Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) (HPow.hPow.{u2, 0, u2} R Nat R (instHPow.{u2, 0} R Nat (Monoid.Pow.{u2} R (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) a n)) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) (HPow.hPow.{u2, 0, u2} R Nat R (instHPow.{u2, 0} R Nat (Monoid.Pow.{u2} R (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) a n)) (HPow.hPow.{max u2 u1, 0, max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) Nat ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (instHPow.{max u2 u1, 0} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) Nat (Monoid.Pow.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (MonoidWithZero.toMonoid.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (Semiring.toMonoidWithZero.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (CommSemiring.toSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) a) n)
+<too large>
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.C_pow MvPolynomial.C_powₓ'. -/
 @[simp]
 theorem C_pow (a : R) (n : ℕ) : (C (a ^ n) : MvPolynomial σ R) = C a ^ n := by
@@ -411,10 +390,7 @@ theorem C_eq_smul_one : (C a : MvPolynomial σ R) = a • 1 := by rw [← C_mul'
 #align mv_polynomial.C_eq_smul_one MvPolynomial.C_eq_smul_one
 
 /- warning: mv_polynomial.smul_monomial -> MvPolynomial.smul_monomial is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {σ : Type.{u2}} {a : R} {s : Finsupp.{u2, 0} σ Nat Nat.hasZero} [_inst_1 : CommSemiring.{u1} R] {S₁ : Type.{u3}} [_inst_3 : SMulZeroClass.{u3, u1} S₁ R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))] (r : S₁), Eq.{succ (max u2 u1)} (MvPolynomial.{u2, u1} σ R _inst_1) (SMul.smul.{u3, max u2 u1} S₁ (MvPolynomial.{u2, u1} σ R _inst_1) (SMulZeroClass.toHasSmul.{u3, max u2 u1} S₁ (MvPolynomial.{u2, u1} σ R _inst_1) (MulZeroClass.toHasZero.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toMulZeroClass.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))))) (MvPolynomial.smulZeroClass.{u3, u1, u2} S₁ R σ _inst_1 _inst_3)) r (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 s) a)) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 s) (SMul.smul.{u3, u1} S₁ R (SMulZeroClass.toHasSmul.{u3, u1} S₁ R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) _inst_3) r a))
-but is expected to have type
-  forall {R : Type.{u3}} {σ : Type.{u1}} {a : R} {s : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)} [_inst_1 : CommSemiring.{u3} R] {S₁ : Type.{u2}} [_inst_3 : SMulZeroClass.{u2, u3} S₁ R (CommMonoidWithZero.toZero.{u3} R (CommSemiring.toCommMonoidWithZero.{u3} R _inst_1))] (r : S₁), Eq.{max (succ u3) (succ u1)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u3} σ R _inst_1) a) (HSMul.hSMul.{u2, max u3 u1, max u3 u1} S₁ ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u3} σ R _inst_1) a) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u3} σ R _inst_1) a) (instHSMul.{u2, max u3 u1} S₁ ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u3} σ R _inst_1) a) (SMulZeroClass.toSMul.{u2, max u3 u1} S₁ ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u3} σ R _inst_1) a) (CommMonoidWithZero.toZero.{max u3 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u3} σ R _inst_1) a) (CommSemiring.toCommMonoidWithZero.{max u3 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u3} σ R _inst_1) a) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (MvPolynomial.smulZeroClass.{u2, u3, u1} S₁ R σ _inst_1 _inst_3))) r (FunLike.coe.{max (succ u1) (succ u3), succ u3, max (succ u1) (succ u3)} (LinearMap.{u3, u3, u3, max u3 u1} R R (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) R (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (MvPolynomial.module.{u3, u3, u1} R R σ (CommSemiring.toSemiring.{u3} R _inst_1) _inst_1 (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u3} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u3, u3, u3, max u1 u3} R R R (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (MvPolynomial.module.{u3, u3, u1} R R σ (CommSemiring.toSemiring.{u3} R _inst_1) _inst_1 (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (MvPolynomial.monomial.{u3, u1} R σ _inst_1 s) a)) (FunLike.coe.{max (succ u1) (succ u3), succ u3, max (succ u1) (succ u3)} (LinearMap.{u3, u3, u3, max u3 u1} R R (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) R (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (MvPolynomial.module.{u3, u3, u1} R R σ (CommSemiring.toSemiring.{u3} R _inst_1) _inst_1 (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u3} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u3, u3, u3, max u1 u3} R R R (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (MvPolynomial.module.{u3, u3, u1} R R σ (CommSemiring.toSemiring.{u3} R _inst_1) _inst_1 (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (MvPolynomial.monomial.{u3, u1} R σ _inst_1 s) (HSMul.hSMul.{u2, u3, u3} S₁ R R (instHSMul.{u2, u3} S₁ R (SMulZeroClass.toSMul.{u2, u3} S₁ R (CommMonoidWithZero.toZero.{u3} R (CommSemiring.toCommMonoidWithZero.{u3} R _inst_1)) _inst_3)) r a))
+<too large>
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.smul_monomial MvPolynomial.smul_monomialₓ'. -/
 theorem smul_monomial {S₁ : Type _} [SMulZeroClass S₁ R] (r : S₁) :
     r • monomial s a = monomial s (r • a) :=
@@ -443,20 +419,14 @@ theorem X_inj [Nontrivial R] (m n : σ) : X m = (X n : MvPolynomial σ R) ↔ m
 #align mv_polynomial.X_inj MvPolynomial.X_inj
 
 /- warning: mv_polynomial.monomial_pow -> MvPolynomial.monomial_pow is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {σ : Type.{u2}} {a : R} {e : Nat} {s : Finsupp.{u2, 0} σ Nat Nat.hasZero} [_inst_1 : CommSemiring.{u1} R], Eq.{succ (max u2 u1)} (MvPolynomial.{u2, u1} σ R _inst_1) (HPow.hPow.{max u2 u1, 0, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) Nat (MvPolynomial.{u2, u1} σ R _inst_1) (instHPow.{max u2 u1, 0} (MvPolynomial.{u2, u1} σ R _inst_1) Nat (Monoid.Pow.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MonoidWithZero.toMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toMonoidWithZero.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))))) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 s) a) e) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 (SMul.smul.{0, u2} Nat (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.hasNatScalar.{u2, 0} σ Nat Nat.addMonoid) e s)) (HPow.hPow.{u1, 0, u1} R Nat R (instHPow.{u1, 0} R Nat (Monoid.Pow.{u1} R (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) a e))
-but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} {a : R} {e : Nat} {s : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)} [_inst_1 : CommSemiring.{u2} R], Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (HPow.hPow.{max u2 u1, 0, max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) Nat ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (instHPow.{max u2 u1, 0} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) Nat (Monoid.Pow.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (MonoidWithZero.toMonoid.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (Semiring.toMonoidWithZero.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (CommSemiring.toSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s) a) e) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 (HSMul.hSMul.{0, u1, u1} Nat (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (instHSMul.{0, u1} Nat (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.hasNatScalar.{u1, 0} σ Nat Nat.addMonoid)) e s)) (HPow.hPow.{u2, 0, u2} R Nat R (instHPow.{u2, 0} R Nat (Monoid.Pow.{u2} R (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) a e))
+<too large>
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.monomial_pow MvPolynomial.monomial_powₓ'. -/
 theorem monomial_pow : monomial s a ^ e = monomial (e • s) (a ^ e) :=
   AddMonoidAlgebra.single_pow e
 #align mv_polynomial.monomial_pow MvPolynomial.monomial_pow
 
 /- warning: mv_polynomial.monomial_mul -> MvPolynomial.monomial_mul is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {s : Finsupp.{u2, 0} σ Nat Nat.hasZero} {s' : Finsupp.{u2, 0} σ Nat Nat.hasZero} {a : R} {b : R}, Eq.{succ (max u2 u1)} (MvPolynomial.{u2, u1} σ R _inst_1) (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Distrib.toHasMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 s) a) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 s') b)) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 (HAdd.hAdd.{u2, u2, u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.{u2, 0} σ Nat Nat.hasZero) (instHAdd.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.add.{u2, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid))) s s')) (HMul.hMul.{u1, u1, u1} R R R (instHMul.{u1} R (Distrib.toHasMul.{u1} R (NonUnitalNonAssocSemiring.toDistrib.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))) a b))
-but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] {s : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)} {s' : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)} {a : R} {b : R}, Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) b) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (instHMul.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (Semiring.toNonAssocSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (CommSemiring.toSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s) a) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s') b)) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 (HAdd.hAdd.{u1, u1, u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (instHAdd.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.add.{u1, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid))) s s')) (HMul.hMul.{u2, u2, u2} R R R (instHMul.{u2} R (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) a b))
+<too large>
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.monomial_mul MvPolynomial.monomial_mulₓ'. -/
 @[simp]
 theorem monomial_mul {s s' : σ →₀ ℕ} {a b : R} :
@@ -476,10 +446,7 @@ def monomialOneHom : Multiplicative (σ →₀ ℕ) →* MvPolynomial σ R :=
 variable {σ R}
 
 /- warning: mv_polynomial.monomial_one_hom_apply -> MvPolynomial.monomialOneHom_apply is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {σ : Type.{u2}} {s : Finsupp.{u2, 0} σ Nat Nat.hasZero} [_inst_1 : CommSemiring.{u1} R], Eq.{max (succ u2) (succ u1)} (MvPolynomial.{u2, u1} σ R _inst_1) (coeFn.{max (succ (max u2 u1)) (succ u2), max (succ u2) (succ (max u2 u1))} (MonoidHom.{u2, max u2 u1} (Multiplicative.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (MvPolynomial.{u2, u1} σ R _inst_1) (Multiplicative.mulOneClass.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.addZeroClass.{u2, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid))) (MulZeroOneClass.toMulOneClass.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toMulZeroOneClass.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))))) (fun (_x : MonoidHom.{u2, max u2 u1} (Multiplicative.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (MvPolynomial.{u2, u1} σ R _inst_1) (Multiplicative.mulOneClass.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.addZeroClass.{u2, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid))) (MulZeroOneClass.toMulOneClass.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toMulZeroOneClass.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))))) => (Multiplicative.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) -> (MvPolynomial.{u2, u1} σ R _inst_1)) (MonoidHom.hasCoeToFun.{u2, max u2 u1} (Multiplicative.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (MvPolynomial.{u2, u1} σ R _inst_1) (Multiplicative.mulOneClass.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.addZeroClass.{u2, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid))) (MulZeroOneClass.toMulOneClass.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toMulZeroOneClass.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))))) (MvPolynomial.monomialOneHom.{u1, u2} R σ _inst_1) s) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 s) (OfNat.ofNat.{u1} R 1 (OfNat.mk.{u1} R 1 (One.one.{u1} R (AddMonoidWithOne.toOne.{u1} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} R (NonAssocSemiring.toAddCommMonoidWithOne.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))))))
-but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} {s : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)} [_inst_1 : CommSemiring.{u2} R], Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : Multiplicative.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) => MvPolynomial.{u1, u2} σ R _inst_1) s) (FunLike.coe.{max (succ u2) (succ u1), succ u1, max (succ u2) (succ u1)} (MonoidHom.{u1, max u2 u1} (Multiplicative.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (MvPolynomial.{u1, u2} σ R _inst_1) (Multiplicative.mulOneClass.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.addZeroClass.{u1, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid))) (MulZeroOneClass.toMulOneClass.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toMulZeroOneClass.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (Multiplicative.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (fun (_x : Multiplicative.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : Multiplicative.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u2 u1, u1, max u2 u1} (MonoidHom.{u1, max u2 u1} (Multiplicative.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (MvPolynomial.{u1, u2} σ R _inst_1) (Multiplicative.mulOneClass.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.addZeroClass.{u1, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid))) (MulZeroOneClass.toMulOneClass.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toMulZeroOneClass.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (Multiplicative.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (MvPolynomial.{u1, u2} σ R _inst_1) (MulOneClass.toMul.{u1} (Multiplicative.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (Multiplicative.mulOneClass.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.addZeroClass.{u1, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)))) (MulOneClass.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MulZeroOneClass.toMulOneClass.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toMulZeroOneClass.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (MonoidHomClass.toMulHomClass.{max u2 u1, u1, max u2 u1} (MonoidHom.{u1, max u2 u1} (Multiplicative.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (MvPolynomial.{u1, u2} σ R _inst_1) (Multiplicative.mulOneClass.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.addZeroClass.{u1, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid))) (MulZeroOneClass.toMulOneClass.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toMulZeroOneClass.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (Multiplicative.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (MvPolynomial.{u1, u2} σ R _inst_1) (Multiplicative.mulOneClass.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.addZeroClass.{u1, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid))) (MulZeroOneClass.toMulOneClass.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toMulZeroOneClass.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (MonoidHom.monoidHomClass.{u1, max u2 u1} (Multiplicative.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (MvPolynomial.{u1, u2} σ R _inst_1) (Multiplicative.mulOneClass.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.addZeroClass.{u1, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid))) (MulZeroOneClass.toMulOneClass.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toMulZeroOneClass.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))))) (MvPolynomial.monomialOneHom.{u2, u1} R σ _inst_1) s) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s) (OfNat.ofNat.{u2} R 1 (One.toOfNat1.{u2} R (Semiring.toOne.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))))
+<too large>
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.monomial_one_hom_apply MvPolynomial.monomialOneHom_applyₓ'. -/
 @[simp]
 theorem monomialOneHom_apply : monomialOneHom R σ s = (monomial s 1 : MvPolynomial σ R) :=
@@ -496,40 +463,28 @@ theorem X_pow_eq_monomial : X n ^ e = monomial (single n e) (1 : R) := by simp [
 #align mv_polynomial.X_pow_eq_monomial MvPolynomial.X_pow_eq_monomial
 
 /- warning: mv_polynomial.monomial_add_single -> MvPolynomial.monomial_add_single is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {σ : Type.{u2}} {a : R} {e : Nat} {n : σ} {s : Finsupp.{u2, 0} σ Nat Nat.hasZero} [_inst_1 : CommSemiring.{u1} R], Eq.{max (succ u2) (succ u1)} (MvPolynomial.{u2, u1} σ R _inst_1) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 (HAdd.hAdd.{u2, u2, u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.{u2, 0} σ Nat Nat.hasZero) (instHAdd.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.add.{u2, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid))) s (Finsupp.single.{u2, 0} σ Nat Nat.hasZero n e))) a) (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Distrib.toHasMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 s) a) (HPow.hPow.{max u2 u1, 0, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) Nat (MvPolynomial.{u2, u1} σ R _inst_1) (instHPow.{max u2 u1, 0} (MvPolynomial.{u2, u1} σ R _inst_1) Nat (Monoid.Pow.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MonoidWithZero.toMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toMonoidWithZero.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))))) (MvPolynomial.X.{u1, u2} R σ _inst_1 n) e))
-but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} {a : R} {e : Nat} {n : σ} {s : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)} [_inst_1 : CommSemiring.{u2} R], Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 (HAdd.hAdd.{u1, u1, u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (instHAdd.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.add.{u1, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid))) s (Finsupp.single.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) n e))) a) (HMul.hMul.{max u2 u1, max u1 u2, max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (MvPolynomial.{u1, u2} σ R _inst_1) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (instHMul.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (Semiring.toNonAssocSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (CommSemiring.toSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s) a) (HPow.hPow.{max u1 u2, 0, max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) Nat (MvPolynomial.{u1, u2} σ R _inst_1) (instHPow.{max u1 u2, 0} (MvPolynomial.{u1, u2} σ R _inst_1) Nat (Monoid.Pow.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MonoidWithZero.toMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toMonoidWithZero.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (MvPolynomial.X.{u2, u1} R σ _inst_1 n) e))
+<too large>
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.monomial_add_single MvPolynomial.monomial_add_singleₓ'. -/
 theorem monomial_add_single : monomial (s + single n e) a = monomial s a * X n ^ e := by
   rw [X_pow_eq_monomial, monomial_mul, mul_one]
 #align mv_polynomial.monomial_add_single MvPolynomial.monomial_add_single
 
 /- warning: mv_polynomial.monomial_single_add -> MvPolynomial.monomial_single_add is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {σ : Type.{u2}} {a : R} {e : Nat} {n : σ} {s : Finsupp.{u2, 0} σ Nat Nat.hasZero} [_inst_1 : CommSemiring.{u1} R], Eq.{max (succ u2) (succ u1)} (MvPolynomial.{u2, u1} σ R _inst_1) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 (HAdd.hAdd.{u2, u2, u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.{u2, 0} σ Nat Nat.hasZero) (instHAdd.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.add.{u2, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid))) (Finsupp.single.{u2, 0} σ Nat Nat.hasZero n e) s)) a) (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Distrib.toHasMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))) (HPow.hPow.{max u2 u1, 0, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) Nat (MvPolynomial.{u2, u1} σ R _inst_1) (instHPow.{max u2 u1, 0} (MvPolynomial.{u2, u1} σ R _inst_1) Nat (Monoid.Pow.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MonoidWithZero.toMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toMonoidWithZero.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))))) (MvPolynomial.X.{u1, u2} R σ _inst_1 n) e) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 s) a))
-but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} {a : R} {e : Nat} {n : σ} {s : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)} [_inst_1 : CommSemiring.{u2} R], Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 (HAdd.hAdd.{u1, u1, u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (instHAdd.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.add.{u1, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid))) (Finsupp.single.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) n e) s)) a) (HMul.hMul.{max u1 u2, max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (instHMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (HPow.hPow.{max u1 u2, 0, max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) Nat (MvPolynomial.{u1, u2} σ R _inst_1) (instHPow.{max u1 u2, 0} (MvPolynomial.{u1, u2} σ R _inst_1) Nat (Monoid.Pow.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MonoidWithZero.toMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toMonoidWithZero.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (MvPolynomial.X.{u2, u1} R σ _inst_1 n) e) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s) a))
+<too large>
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.monomial_single_add MvPolynomial.monomial_single_addₓ'. -/
 theorem monomial_single_add : monomial (single n e + s) a = X n ^ e * monomial s a := by
   rw [X_pow_eq_monomial, monomial_mul, one_mul]
 #align mv_polynomial.monomial_single_add MvPolynomial.monomial_single_add
 
 /- warning: mv_polynomial.C_mul_X_pow_eq_monomial -> MvPolynomial.C_mul_X_pow_eq_monomial is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {s : σ} {a : R} {n : Nat}, Eq.{succ (max u2 u1)} (MvPolynomial.{u2, u1} σ R _inst_1) (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Distrib.toHasMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (fun (_x : RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (MvPolynomial.C.{u1, u2} R σ _inst_1) a) (HPow.hPow.{max u2 u1, 0, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) Nat (MvPolynomial.{u2, u1} σ R _inst_1) (instHPow.{max u2 u1, 0} (MvPolynomial.{u2, u1} σ R _inst_1) Nat (Monoid.Pow.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MonoidWithZero.toMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toMonoidWithZero.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))))) (MvPolynomial.X.{u1, u2} R σ _inst_1 s) n)) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 (Finsupp.single.{u2, 0} σ Nat Nat.hasZero s n)) a)
-but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] {s : σ} {a : R} {n : Nat}, Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (HMul.hMul.{max u2 u1, max u1 u2, max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (MvPolynomial.{u1, u2} σ R _inst_1) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (instHMul.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (Semiring.toNonAssocSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (CommSemiring.toSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) a) (HPow.hPow.{max u1 u2, 0, max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) Nat (MvPolynomial.{u1, u2} σ R _inst_1) (instHPow.{max u1 u2, 0} (MvPolynomial.{u1, u2} σ R _inst_1) Nat (Monoid.Pow.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MonoidWithZero.toMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toMonoidWithZero.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (MvPolynomial.X.{u2, u1} R σ _inst_1 s) n)) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 (Finsupp.single.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) s n)) a)
+<too large>
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.C_mul_X_pow_eq_monomial MvPolynomial.C_mul_X_pow_eq_monomialₓ'. -/
 theorem C_mul_X_pow_eq_monomial {s : σ} {a : R} {n : ℕ} : C a * X s ^ n = monomial (single s n) a :=
   by rw [← zero_add (single s n), monomial_add_single, C_apply]
 #align mv_polynomial.C_mul_X_pow_eq_monomial MvPolynomial.C_mul_X_pow_eq_monomial
 
 /- warning: mv_polynomial.C_mul_X_eq_monomial -> MvPolynomial.C_mul_X_eq_monomial is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {s : σ} {a : R}, Eq.{succ (max u2 u1)} (MvPolynomial.{u2, u1} σ R _inst_1) (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Distrib.toHasMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (fun (_x : RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (MvPolynomial.C.{u1, u2} R σ _inst_1) a) (MvPolynomial.X.{u1, u2} R σ _inst_1 s)) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 (Finsupp.single.{u2, 0} σ Nat Nat.hasZero s (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) a)
-but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] {s : σ} {a : R}, Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (HMul.hMul.{max u2 u1, max u1 u2, max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (MvPolynomial.{u1, u2} σ R _inst_1) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (instHMul.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (Semiring.toNonAssocSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (CommSemiring.toSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) a) (MvPolynomial.X.{u2, u1} R σ _inst_1 s)) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 (Finsupp.single.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) s (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) a)
+<too large>
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.C_mul_X_eq_monomial MvPolynomial.C_mul_X_eq_monomialₓ'. -/
 theorem C_mul_X_eq_monomial {s : σ} {a : R} : C a * X s = monomial (single s 1) a := by
   rw [← C_mul_X_pow_eq_monomial, pow_one]
@@ -547,10 +502,7 @@ theorem monomial_zero {s : σ →₀ ℕ} : monomial s (0 : R) = 0 :=
 #align mv_polynomial.monomial_zero MvPolynomial.monomial_zero
 
 /- warning: mv_polynomial.monomial_zero' -> MvPolynomial.monomial_zero' is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R], Eq.{max (succ u2) (succ u1)} ((fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 (OfNat.ofNat.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) 0 (OfNat.mk.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) 0 (Zero.zero.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.zero.{u2, 0} σ Nat Nat.hasZero)))))) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 (OfNat.ofNat.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) 0 (OfNat.mk.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) 0 (Zero.zero.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.zero.{u2, 0} σ Nat Nat.hasZero)))))) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (fun (_x : RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (MvPolynomial.C.{u1, u2} R σ _inst_1))
-but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R], Eq.{max (succ u2) (succ u1)} (forall (a : R), (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 (OfNat.ofNat.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) 0 (Zero.toOfNat0.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.zero.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)))))) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1))
+<too large>
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.monomial_zero' MvPolynomial.monomial_zero'ₓ'. -/
 @[simp]
 theorem monomial_zero' : (monomial (0 : σ →₀ ℕ) : R → MvPolynomial σ R) = C :=
@@ -593,10 +545,7 @@ theorem sum_C {A : Type _} [AddCommMonoid A] {b : (σ →₀ ℕ) → R → A} (
 #align mv_polynomial.sum_C MvPolynomial.sum_C
 
 /- warning: mv_polynomial.monomial_sum_one -> MvPolynomial.monomial_sum_one is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {α : Type.{u3}} (s : Finset.{u3} α) (f : α -> (Finsupp.{u2, 0} σ Nat Nat.hasZero)), Eq.{max (succ u2) (succ u1)} (MvPolynomial.{u2, u1} σ R _inst_1) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 (Finset.sum.{u2, u3} (Finsupp.{u2, 0} σ Nat Nat.hasZero) α (Finsupp.addCommMonoid.{u2, 0} σ Nat Nat.addCommMonoid) s (fun (i : α) => f i))) (OfNat.ofNat.{u1} R 1 (OfNat.mk.{u1} R 1 (One.one.{u1} R (AddMonoidWithOne.toOne.{u1} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} R (NonAssocSemiring.toAddCommMonoidWithOne.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))))))) (Finset.prod.{max u2 u1, u3} (MvPolynomial.{u2, u1} σ R _inst_1) α (CommSemiring.toCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) s (fun (i : α) => coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 (f i)) (OfNat.ofNat.{u1} R 1 (OfNat.mk.{u1} R 1 (One.one.{u1} R (AddMonoidWithOne.toOne.{u1} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} R (NonAssocSemiring.toAddCommMonoidWithOne.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))))))))
-but is expected to have type
-  forall {R : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u3} R] {α : Type.{u2}} (s : Finset.{u2} α) (f : α -> (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))), Eq.{max (succ u3) (succ u1)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u3} σ R _inst_1) (OfNat.ofNat.{u3} R 1 (One.toOfNat1.{u3} R (Semiring.toOne.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))))) (FunLike.coe.{max (succ u1) (succ u3), succ u3, max (succ u1) (succ u3)} (LinearMap.{u3, u3, u3, max u3 u1} R R (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) R (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (MvPolynomial.module.{u3, u3, u1} R R σ (CommSemiring.toSemiring.{u3} R _inst_1) _inst_1 (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u3} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u3, u3, u3, max u1 u3} R R R (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (MvPolynomial.module.{u3, u3, u1} R R σ (CommSemiring.toSemiring.{u3} R _inst_1) _inst_1 (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (MvPolynomial.monomial.{u3, u1} R σ _inst_1 (Finset.sum.{u1, u2} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) α (Finsupp.addCommMonoid.{u1, 0} σ Nat Nat.addCommMonoid) s (fun (i : α) => f i))) (OfNat.ofNat.{u3} R 1 (One.toOfNat1.{u3} R (Semiring.toOne.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))))) (Finset.prod.{max u1 u3, u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u3} σ R _inst_1) (OfNat.ofNat.{u3} R 1 (One.toOfNat1.{u3} R (Semiring.toOne.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))))) α (CommSemiring.toCommMonoid.{max u1 u3} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u3} σ R _inst_1) (OfNat.ofNat.{u3} R 1 (One.toOfNat1.{u3} R (Semiring.toOne.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))))) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) s (fun (i : α) => FunLike.coe.{max (succ u1) (succ u3), succ u3, max (succ u1) (succ u3)} (LinearMap.{u3, u3, u3, max u3 u1} R R (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) R (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (MvPolynomial.module.{u3, u3, u1} R R σ (CommSemiring.toSemiring.{u3} R _inst_1) _inst_1 (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u3} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u3, u3, u3, max u1 u3} R R R (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (MvPolynomial.module.{u3, u3, u1} R R σ (CommSemiring.toSemiring.{u3} R _inst_1) _inst_1 (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (MvPolynomial.monomial.{u3, u1} R σ _inst_1 (f i)) (OfNat.ofNat.{u3} R 1 (One.toOfNat1.{u3} R (Semiring.toOne.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))))))
+<too large>
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.monomial_sum_one MvPolynomial.monomial_sum_oneₓ'. -/
 theorem monomial_sum_one {α : Type _} (s : Finset α) (f : α → σ →₀ ℕ) :
     (monomial (∑ i in s, f i) 1 : MvPolynomial σ R) = ∏ i in s, monomial (f i) 1 :=
@@ -604,10 +553,7 @@ theorem monomial_sum_one {α : Type _} (s : Finset α) (f : α → σ →₀ ℕ
 #align mv_polynomial.monomial_sum_one MvPolynomial.monomial_sum_one
 
 /- warning: mv_polynomial.monomial_sum_index -> MvPolynomial.monomial_sum_index is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {α : Type.{u3}} (s : Finset.{u3} α) (f : α -> (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (a : R), Eq.{max (succ u2) (succ u1)} (MvPolynomial.{u2, u1} σ R _inst_1) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 (Finset.sum.{u2, u3} (Finsupp.{u2, 0} σ Nat Nat.hasZero) α (Finsupp.addCommMonoid.{u2, 0} σ Nat Nat.addCommMonoid) s (fun (i : α) => f i))) a) (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Distrib.toHasMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (fun (_x : RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (MvPolynomial.C.{u1, u2} R σ _inst_1) a) (Finset.prod.{max u2 u1, u3} (MvPolynomial.{u2, u1} σ R _inst_1) α (CommSemiring.toCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) s (fun (i : α) => coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 (f i)) (OfNat.ofNat.{u1} R 1 (OfNat.mk.{u1} R 1 (One.one.{u1} R (AddMonoidWithOne.toOne.{u1} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} R (NonAssocSemiring.toAddCommMonoidWithOne.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))))))))
-but is expected to have type
-  forall {R : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u3} R] {α : Type.{u2}} (s : Finset.{u2} α) (f : α -> (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (a : R), Eq.{max (succ u3) (succ u1)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u3} σ R _inst_1) a) (FunLike.coe.{max (succ u1) (succ u3), succ u3, max (succ u1) (succ u3)} (LinearMap.{u3, u3, u3, max u3 u1} R R (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) R (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (MvPolynomial.module.{u3, u3, u1} R R σ (CommSemiring.toSemiring.{u3} R _inst_1) _inst_1 (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u3} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u3, u3, u3, max u1 u3} R R R (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (MvPolynomial.module.{u3, u3, u1} R R σ (CommSemiring.toSemiring.{u3} R _inst_1) _inst_1 (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (MvPolynomial.monomial.{u3, u1} R σ _inst_1 (Finset.sum.{u1, u2} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) α (Finsupp.addCommMonoid.{u1, 0} σ Nat Nat.addCommMonoid) s (fun (i : α) => f i))) a) (HMul.hMul.{max u3 u1, max u1 u3, max u3 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u3} σ R _inst_1) a) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u3} σ R _inst_1) (OfNat.ofNat.{u3} R 1 (One.toOfNat1.{u3} R (Semiring.toOne.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))))) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u3} σ R _inst_1) a) (instHMul.{max u3 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u3} σ R _inst_1) a) (NonUnitalNonAssocSemiring.toMul.{max u3 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u3} σ R _inst_1) a) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u3} σ R _inst_1) a) (Semiring.toNonAssocSemiring.{max u3 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u3} σ R _inst_1) a) (CommSemiring.toSemiring.{max u3 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u3} σ R _inst_1) a) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))))) (FunLike.coe.{max (succ u1) (succ u3), succ u3, max (succ u1) (succ u3)} (RingHom.{u3, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u3} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u3, u3, max u1 u3} (RingHom.{u3, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u3, u3, max u1 u3} (RingHom.{u3, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u3, u3, max u1 u3} (RingHom.{u3, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))))) (MvPolynomial.C.{u3, u1} R σ _inst_1) a) (Finset.prod.{max u1 u3, u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u3} σ R _inst_1) (OfNat.ofNat.{u3} R 1 (One.toOfNat1.{u3} R (Semiring.toOne.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))))) α (CommSemiring.toCommMonoid.{max u1 u3} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u3} σ R _inst_1) (OfNat.ofNat.{u3} R 1 (One.toOfNat1.{u3} R (Semiring.toOne.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))))) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) s (fun (i : α) => FunLike.coe.{max (succ u1) (succ u3), succ u3, max (succ u1) (succ u3)} (LinearMap.{u3, u3, u3, max u3 u1} R R (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) R (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (MvPolynomial.module.{u3, u3, u1} R R σ (CommSemiring.toSemiring.{u3} R _inst_1) _inst_1 (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u3} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u3, u3, u3, max u1 u3} R R R (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (MvPolynomial.module.{u3, u3, u1} R R σ (CommSemiring.toSemiring.{u3} R _inst_1) _inst_1 (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (MvPolynomial.monomial.{u3, u1} R σ _inst_1 (f i)) (OfNat.ofNat.{u3} R 1 (One.toOfNat1.{u3} R (Semiring.toOne.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))))))
+<too large>
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.monomial_sum_index MvPolynomial.monomial_sum_indexₓ'. -/
 theorem monomial_sum_index {α : Type _} (s : Finset α) (f : α → σ →₀ ℕ) (a : R) :
     monomial (∑ i in s, f i) a = C a * ∏ i in s, monomial (f i) 1 := by
@@ -615,10 +561,7 @@ theorem monomial_sum_index {α : Type _} (s : Finset α) (f : α → σ →₀ 
 #align mv_polynomial.monomial_sum_index MvPolynomial.monomial_sum_index
 
 /- warning: mv_polynomial.monomial_finsupp_sum_index -> MvPolynomial.monomial_finsupp_sum_index is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {α : Type.{u3}} {β : Type.{u4}} [_inst_3 : Zero.{u4} β] (f : Finsupp.{u3, u4} α β _inst_3) (g : α -> β -> (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (a : R), Eq.{max (succ u2) (succ u1)} (MvPolynomial.{u2, u1} σ R _inst_1) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 (Finsupp.sum.{u3, u4, u2} α β (Finsupp.{u2, 0} σ Nat Nat.hasZero) _inst_3 (Finsupp.addCommMonoid.{u2, 0} σ Nat Nat.addCommMonoid) f g)) a) (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Distrib.toHasMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (fun (_x : RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (MvPolynomial.C.{u1, u2} R σ _inst_1) a) (Finsupp.prod.{u3, u4, max u2 u1} α β (MvPolynomial.{u2, u1} σ R _inst_1) _inst_3 (CommSemiring.toCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) f (fun (a : α) (b : β) => coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 (g a b)) (OfNat.ofNat.{u1} R 1 (OfNat.mk.{u1} R 1 (One.one.{u1} R (AddMonoidWithOne.toOne.{u1} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} R (NonAssocSemiring.toAddCommMonoidWithOne.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))))))))
-but is expected to have type
-  forall {R : Type.{u4}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u4} R] {α : Type.{u3}} {β : Type.{u2}} [_inst_3 : Zero.{u2} β] (f : Finsupp.{u3, u2} α β _inst_3) (g : α -> β -> (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (a : R), Eq.{max (succ u4) (succ u1)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u4} σ R _inst_1) a) (FunLike.coe.{max (succ u1) (succ u4), succ u4, max (succ u1) (succ u4)} (LinearMap.{u4, u4, u4, max u4 u1} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) R (MvPolynomial.{u1, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u1} R σ _inst_1))))) (Semiring.toModule.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (MvPolynomial.module.{u4, u4, u1} R R σ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_1 (Semiring.toModule.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u4} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u4, u4, u4, max u1 u4} R R R (MvPolynomial.{u1, u4} σ R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u1} R σ _inst_1))))) (Semiring.toModule.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (MvPolynomial.module.{u4, u4, u1} R R σ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_1 (Semiring.toModule.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (MvPolynomial.monomial.{u4, u1} R σ _inst_1 (Finsupp.sum.{u3, u2, u1} α β (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) _inst_3 (Finsupp.addCommMonoid.{u1, 0} σ Nat Nat.addCommMonoid) f g)) a) (HMul.hMul.{max u4 u1, max u1 u4, max u4 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u4} σ R _inst_1) a) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u4} σ R _inst_1) (OfNat.ofNat.{u4} R 1 (One.toOfNat1.{u4} R (Semiring.toOne.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))))) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u4} σ R _inst_1) a) (instHMul.{max u4 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u4} σ R _inst_1) a) (NonUnitalNonAssocSemiring.toMul.{max u4 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u4} σ R _inst_1) a) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u4} σ R _inst_1) a) (Semiring.toNonAssocSemiring.{max u4 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u4} σ R _inst_1) a) (CommSemiring.toSemiring.{max u4 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u4} σ R _inst_1) a) (MvPolynomial.commSemiring.{u4, u1} R σ _inst_1)))))) (FunLike.coe.{max (succ u1) (succ u4), succ u4, max (succ u1) (succ u4)} (RingHom.{u4, max u4 u1} R (MvPolynomial.{u1, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u4} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u4, u4, max u1 u4} (RingHom.{u4, max u4 u1} R (MvPolynomial.{u1, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u4} (MvPolynomial.{u1, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u4} (MvPolynomial.{u1, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u4, u4, max u1 u4} (RingHom.{u4, max u4 u1} R (MvPolynomial.{u1, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u4} (MvPolynomial.{u1, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u4, u4, max u1 u4} (RingHom.{u4, max u4 u1} R (MvPolynomial.{u1, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u4, max u1 u4} R (MvPolynomial.{u1, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u1} R σ _inst_1))))))) (MvPolynomial.C.{u4, u1} R σ _inst_1) a) (Finsupp.prod.{u3, u2, max u1 u4} α β ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u4} σ R _inst_1) (OfNat.ofNat.{u4} R 1 (One.toOfNat1.{u4} R (Semiring.toOne.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))))) _inst_3 (CommSemiring.toCommMonoid.{max u1 u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u4} σ R _inst_1) (OfNat.ofNat.{u4} R 1 (One.toOfNat1.{u4} R (Semiring.toOne.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))))) (MvPolynomial.commSemiring.{u4, u1} R σ _inst_1)) f (fun (a : α) (b : β) => FunLike.coe.{max (succ u1) (succ u4), succ u4, max (succ u1) (succ u4)} (LinearMap.{u4, u4, u4, max u4 u1} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) R (MvPolynomial.{u1, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u1} R σ _inst_1))))) (Semiring.toModule.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (MvPolynomial.module.{u4, u4, u1} R R σ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_1 (Semiring.toModule.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u4} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u4, u4, u4, max u1 u4} R R R (MvPolynomial.{u1, u4} σ R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u1} R σ _inst_1))))) (Semiring.toModule.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (MvPolynomial.module.{u4, u4, u1} R R σ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_1 (Semiring.toModule.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (MvPolynomial.monomial.{u4, u1} R σ _inst_1 (g a b)) (OfNat.ofNat.{u4} R 1 (One.toOfNat1.{u4} R (Semiring.toOne.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))))))
+<too large>
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.monomial_finsupp_sum_index MvPolynomial.monomial_finsupp_sum_indexₓ'. -/
 theorem monomial_finsupp_sum_index {α β : Type _} [Zero β] (f : α →₀ β) (g : α → β → σ →₀ ℕ)
     (a : R) : monomial (f.Sum g) a = C a * f.Prod fun a b => monomial (g a b) 1 :=
@@ -626,10 +569,7 @@ theorem monomial_finsupp_sum_index {α β : Type _} [Zero β] (f : α →₀ β)
 #align mv_polynomial.monomial_finsupp_sum_index MvPolynomial.monomial_finsupp_sum_index
 
 /- warning: mv_polynomial.monomial_eq_monomial_iff -> MvPolynomial.monomial_eq_monomial_iff is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} [_inst_1 : CommSemiring.{u1} R] {α : Type.{u2}} (a₁ : Finsupp.{u2, 0} α Nat Nat.hasZero) (a₂ : Finsupp.{u2, 0} α Nat Nat.hasZero) (b₁ : R) (b₂ : R), Iff (Eq.{max (succ u2) (succ u1)} (MvPolynomial.{u2, u1} α R _inst_1) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} α R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} α R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} α R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} α R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} α R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R α _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R α (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} α R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} α R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} α R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} α R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} α R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R α _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R α (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} α R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} α R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} α R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} α R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} α R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} α R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R α _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R α (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R α _inst_1 a₁) b₁) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} α R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} α R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} α R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} α R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} α R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R α _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R α (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} α R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} α R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} α R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} α R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} α R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R α _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R α (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} α R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} α R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} α R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} α R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} α R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} α R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R α _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R α (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R α _inst_1 a₂) b₂)) (Or (And (Eq.{succ u2} (Finsupp.{u2, 0} α Nat Nat.hasZero) a₁ a₂) (Eq.{succ u1} R b₁ b₂)) (And (Eq.{succ u1} R b₁ (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))))))) (Eq.{succ u1} R b₂ (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))))))))
-but is expected to have type
-  forall {R : Type.{u2}} [_inst_1 : CommSemiring.{u2} R] {α : Type.{u1}} (a₁ : Finsupp.{u1, 0} α Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (a₂ : Finsupp.{u1, 0} α Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (b₁ : R) (b₂ : R), Iff (Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} α R _inst_1) b₁) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} α R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} α R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} α R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} α R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} α R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R α _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R α (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} α R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} α R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} α R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} α R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} α R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} α R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R α _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R α (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R α _inst_1 a₁) b₁) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} α R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} α R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} α R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} α R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} α R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R α _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R α (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} α R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} α R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} α R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} α R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} α R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} α R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R α _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R α (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R α _inst_1 a₂) b₂)) (Or (And (Eq.{succ u1} (Finsupp.{u1, 0} α Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) a₁ a₂) (Eq.{succ u2} R b₁ b₂)) (And (Eq.{succ u2} R b₁ (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))))) (Eq.{succ u2} R b₂ (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1)))))))
+<too large>
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.monomial_eq_monomial_iff MvPolynomial.monomial_eq_monomial_iffₓ'. -/
 theorem monomial_eq_monomial_iff {α : Type _} (a₁ a₂ : α →₀ ℕ) (b₁ b₂ : R) :
     monomial a₁ b₁ = monomial a₂ b₂ ↔ a₁ = a₂ ∧ b₁ = b₂ ∨ b₁ = 0 ∧ b₂ = 0 :=
@@ -637,20 +577,14 @@ theorem monomial_eq_monomial_iff {α : Type _} (a₁ a₂ : α →₀ ℕ) (b₁
 #align mv_polynomial.monomial_eq_monomial_iff MvPolynomial.monomial_eq_monomial_iff
 
 /- warning: mv_polynomial.monomial_eq -> MvPolynomial.monomial_eq is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {σ : Type.{u2}} {a : R} {s : Finsupp.{u2, 0} σ Nat Nat.hasZero} [_inst_1 : CommSemiring.{u1} R], Eq.{max (succ u2) (succ u1)} (MvPolynomial.{u2, u1} σ R _inst_1) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 s) a) (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Distrib.toHasMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (fun (_x : RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (MvPolynomial.C.{u1, u2} R σ _inst_1) a) (Finsupp.prod.{u2, 0, max u2 u1} σ Nat (MvPolynomial.{u2, u1} σ R _inst_1) Nat.hasZero (CommSemiring.toCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) s (fun (n : σ) (e : Nat) => HPow.hPow.{max u2 u1, 0, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) Nat (MvPolynomial.{u2, u1} σ R _inst_1) (instHPow.{max u2 u1, 0} (MvPolynomial.{u2, u1} σ R _inst_1) Nat (Monoid.Pow.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MonoidWithZero.toMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toMonoidWithZero.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))))) (MvPolynomial.X.{u1, u2} R σ _inst_1 n) e)))
-but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} {a : R} {s : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)} [_inst_1 : CommSemiring.{u2} R], Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s) a) (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (MvPolynomial.{u1, u2} σ R _inst_1) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (instHMul.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (Semiring.toNonAssocSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (CommSemiring.toSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) a) (Finsupp.prod.{u1, 0, max u2 u1} σ Nat (MvPolynomial.{u1, u2} σ R _inst_1) (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) (CommSemiring.toCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) s (fun (n : σ) (e : Nat) => HPow.hPow.{max u1 u2, 0, max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) Nat (MvPolynomial.{u1, u2} σ R _inst_1) (instHPow.{max u1 u2, 0} (MvPolynomial.{u1, u2} σ R _inst_1) Nat (Monoid.Pow.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MonoidWithZero.toMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toMonoidWithZero.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (MvPolynomial.X.{u2, u1} R σ _inst_1 n) e)))
+<too large>
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.monomial_eq MvPolynomial.monomial_eqₓ'. -/
 theorem monomial_eq : monomial s a = C a * (s.Prod fun n e => X n ^ e : MvPolynomial σ R) := by
   simp only [X_pow_eq_monomial, ← monomial_finsupp_sum_index, Finsupp.sum_single]
 #align mv_polynomial.monomial_eq MvPolynomial.monomial_eq
 
 /- warning: mv_polynomial.induction_on_monomial -> MvPolynomial.induction_on_monomial is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {M : (MvPolynomial.{u2, u1} σ R _inst_1) -> Prop}, (forall (a : R), M (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (fun (_x : RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (MvPolynomial.C.{u1, u2} R σ _inst_1) a)) -> (forall (p : MvPolynomial.{u2, u1} σ R _inst_1) (n : σ), (M p) -> (M (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Distrib.toHasMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))) p (MvPolynomial.X.{u1, u2} R σ _inst_1 n)))) -> (forall (s : Finsupp.{u2, 0} σ Nat Nat.hasZero) (a : R), M (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 s) a))
-but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] {M : (MvPolynomial.{u1, u2} σ R _inst_1) -> Prop}, (forall (a : R), M (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) a)) -> (forall (p : MvPolynomial.{u1, u2} σ R _inst_1) (n : σ), (M p) -> (M (HMul.hMul.{max u2 u1, max u1 u2, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) p (MvPolynomial.X.{u2, u1} R σ _inst_1 n)))) -> (forall (s : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (a : R), M (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s) a))
+<too large>
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.induction_on_monomial MvPolynomial.induction_on_monomialₓ'. -/
 theorem induction_on_monomial {M : MvPolynomial σ R → Prop} (h_C : ∀ a, M (C a))
     (h_X : ∀ p n, M p → M (p * X n)) : ∀ s a, M (monomial s a) :=
@@ -690,10 +624,7 @@ theorem induction_on' {P : MvPolynomial σ R → Prop} (p : MvPolynomial σ R)
 #align mv_polynomial.induction_on' MvPolynomial.induction_on'
 
 /- warning: mv_polynomial.induction_on''' -> MvPolynomial.induction_on''' is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {M : (MvPolynomial.{u2, u1} σ R _inst_1) -> Prop} (p : MvPolynomial.{u2, u1} σ R _inst_1), (forall (a : R), M (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (fun (_x : RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (MvPolynomial.C.{u1, u2} R σ _inst_1) a)) -> (forall (a : Finsupp.{u2, 0} σ Nat Nat.hasZero) (b : R) (f : Finsupp.{u2, u1} (Finsupp.{u2, 0} σ Nat Nat.hasZero) R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))), (Not (Membership.Mem.{u2, u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finset.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (Finset.hasMem.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) a (Finsupp.support.{u2, u1} (Finsupp.{u2, 0} σ Nat Nat.hasZero) R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) f))) -> (Ne.{succ u1} R b (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))))))) -> (M f) -> (M (HAdd.hAdd.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (instHAdd.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Distrib.toHasAdd.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 a) b) f))) -> (M p)
-but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] {M : (MvPolynomial.{u1, u2} σ R _inst_1) -> Prop} (p : MvPolynomial.{u1, u2} σ R _inst_1), (forall (a : R), M (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) a)) -> (forall (a : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (b : R) (f : Finsupp.{u1, u2} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))), (Not (Membership.mem.{u1, u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (Finset.instMembershipFinset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) a (Finsupp.support.{u1, u2} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1)) f))) -> (Ne.{succ u2} R b (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))))) -> (M f) -> (M (HAdd.hAdd.{max u2 u1, max u2 u1, max u2 u1} (Finsupp.{u1, u2} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))) (Finsupp.{u1, u2} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))) (Finsupp.{u1, u2} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))) (instHAdd.{max u2 u1} (Finsupp.{u1, u2} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))) (Finsupp.add.{u1, u2} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (AddMonoid.toAddZeroClass.{u2} R (AddMonoidWithOne.toAddMonoid.{u2} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u2} R (NonAssocSemiring.toAddCommMonoidWithOne.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))))))) ([mdata let_fun:1 (fun (this : Finsupp.{u1, u2} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))) => this) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (a : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 a) b)]) f))) -> (M p)
+<too large>
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.induction_on''' MvPolynomial.induction_on'''ₓ'. -/
 /-- Similar to `mv_polynomial.induction_on` but only a weak form of `h_add` is required.-/
 theorem induction_on''' {M : MvPolynomial σ R → Prop} (p : MvPolynomial σ R) (h_C : ∀ a, M (C a))
@@ -705,10 +636,7 @@ theorem induction_on''' {M : MvPolynomial σ R → Prop} (p : MvPolynomial σ R)
 #align mv_polynomial.induction_on''' MvPolynomial.induction_on'''
 
 /- warning: mv_polynomial.induction_on'' -> MvPolynomial.induction_on'' is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {M : (MvPolynomial.{u2, u1} σ R _inst_1) -> Prop} (p : MvPolynomial.{u2, u1} σ R _inst_1), (forall (a : R), M (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (fun (_x : RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (MvPolynomial.C.{u1, u2} R σ _inst_1) a)) -> (forall (a : Finsupp.{u2, 0} σ Nat Nat.hasZero) (b : R) (f : Finsupp.{u2, u1} (Finsupp.{u2, 0} σ Nat Nat.hasZero) R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))), (Not (Membership.Mem.{u2, u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finset.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (Finset.hasMem.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) a (Finsupp.support.{u2, u1} (Finsupp.{u2, 0} σ Nat Nat.hasZero) R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) f))) -> (Ne.{succ u1} R b (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))))))) -> (M f) -> (M (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 a) b)) -> (M (HAdd.hAdd.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (instHAdd.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Distrib.toHasAdd.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 a) b) f))) -> (forall (p : MvPolynomial.{u2, u1} σ R _inst_1) (n : σ), (M p) -> (M (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Distrib.toHasMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))) p (MvPolynomial.X.{u1, u2} R σ _inst_1 n)))) -> (M p)
-but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] {M : (MvPolynomial.{u1, u2} σ R _inst_1) -> Prop} (p : MvPolynomial.{u1, u2} σ R _inst_1), (forall (a : R), M (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) a)) -> (forall (a : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (b : R) (f : Finsupp.{u1, u2} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))), (Not (Membership.mem.{u1, u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (Finset.instMembershipFinset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) a (Finsupp.support.{u1, u2} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1)) f))) -> (Ne.{succ u2} R b (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))))) -> (M f) -> (M (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 a) b)) -> (M (HAdd.hAdd.{max u2 u1, max u2 u1, max u2 u1} (Finsupp.{u1, u2} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))) (Finsupp.{u1, u2} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))) (Finsupp.{u1, u2} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))) (instHAdd.{max u2 u1} (Finsupp.{u1, u2} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))) (Finsupp.add.{u1, u2} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (AddMonoid.toAddZeroClass.{u2} R (AddMonoidWithOne.toAddMonoid.{u2} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u2} R (NonAssocSemiring.toAddCommMonoidWithOne.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))))))) ([mdata let_fun:1 (fun (this : Finsupp.{u1, u2} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))) => this) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (a : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 a) b)]) f))) -> (forall (p : MvPolynomial.{u1, u2} σ R _inst_1) (n : σ), (M p) -> (M (HMul.hMul.{max u2 u1, max u1 u2, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) p (MvPolynomial.X.{u2, u1} R σ _inst_1 n)))) -> (M p)
+<too large>
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.induction_on'' MvPolynomial.induction_on''ₓ'. -/
 /-- Similar to `mv_polynomial.induction_on` but only a yet weaker form of `h_add` is required.-/
 theorem induction_on'' {M : MvPolynomial σ R → Prop} (p : MvPolynomial σ R) (h_C : ∀ a, M (C a))
@@ -734,10 +662,7 @@ theorem induction_on {M : MvPolynomial σ R → Prop} (p : MvPolynomial σ R) (h
 #align mv_polynomial.induction_on MvPolynomial.induction_on
 
 /- warning: mv_polynomial.ring_hom_ext -> MvPolynomial.ringHom_ext is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {A : Type.{u3}} [_inst_3 : Semiring.{u3} A] {f : RingHom.{max u2 u1, u3} (MvPolynomial.{u2, u1} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} A _inst_3)} {g : RingHom.{max u2 u1, u3} (MvPolynomial.{u2, u1} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} A _inst_3)}, (forall (r : R), Eq.{succ u3} A (coeFn.{max (succ (max u2 u1)) (succ u3), max (succ (max u2 u1)) (succ u3)} (RingHom.{max u2 u1, u3} (MvPolynomial.{u2, u1} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} A _inst_3)) (fun (_x : RingHom.{max u2 u1, u3} (MvPolynomial.{u2, u1} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} A _inst_3)) => (MvPolynomial.{u2, u1} σ R _inst_1) -> A) (RingHom.hasCoeToFun.{max u2 u1, u3} (MvPolynomial.{u2, u1} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} A _inst_3)) f (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (fun (_x : RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (MvPolynomial.C.{u1, u2} R σ _inst_1) r)) (coeFn.{max (succ (max u2 u1)) (succ u3), max (succ (max u2 u1)) (succ u3)} (RingHom.{max u2 u1, u3} (MvPolynomial.{u2, u1} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} A _inst_3)) (fun (_x : RingHom.{max u2 u1, u3} (MvPolynomial.{u2, u1} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} A _inst_3)) => (MvPolynomial.{u2, u1} σ R _inst_1) -> A) (RingHom.hasCoeToFun.{max u2 u1, u3} (MvPolynomial.{u2, u1} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} A _inst_3)) g (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (fun (_x : RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (MvPolynomial.C.{u1, u2} R σ _inst_1) r))) -> (forall (i : σ), Eq.{succ u3} A (coeFn.{max (succ (max u2 u1)) (succ u3), max (succ (max u2 u1)) (succ u3)} (RingHom.{max u2 u1, u3} (MvPolynomial.{u2, u1} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} A _inst_3)) (fun (_x : RingHom.{max u2 u1, u3} (MvPolynomial.{u2, u1} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} A _inst_3)) => (MvPolynomial.{u2, u1} σ R _inst_1) -> A) (RingHom.hasCoeToFun.{max u2 u1, u3} (MvPolynomial.{u2, u1} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} A _inst_3)) f (MvPolynomial.X.{u1, u2} R σ _inst_1 i)) (coeFn.{max (succ (max u2 u1)) (succ u3), max (succ (max u2 u1)) (succ u3)} (RingHom.{max u2 u1, u3} (MvPolynomial.{u2, u1} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} A _inst_3)) (fun (_x : RingHom.{max u2 u1, u3} (MvPolynomial.{u2, u1} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} A _inst_3)) => (MvPolynomial.{u2, u1} σ R _inst_1) -> A) (RingHom.hasCoeToFun.{max u2 u1, u3} (MvPolynomial.{u2, u1} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} A _inst_3)) g (MvPolynomial.X.{u1, u2} R σ _inst_1 i))) -> (Eq.{max (succ (max u2 u1)) (succ u3)} (RingHom.{max u2 u1, u3} (MvPolynomial.{u2, u1} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} A _inst_3)) f g)
-but is expected to have type
-  forall {R : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u3} R] {A : Type.{u2}} [_inst_3 : Semiring.{u2} A] {f : RingHom.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} A _inst_3)} {g : RingHom.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} A _inst_3)}, (forall (r : R), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u3} σ R _inst_1) => A) (FunLike.coe.{max (succ u1) (succ u3), succ u3, max (succ u1) (succ u3)} (RingHom.{u3, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) R (fun (a : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u3} σ R _inst_1) a) (MulHomClass.toFunLike.{max u1 u3, u3, max u1 u3} (RingHom.{u3, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u3, u3, max u1 u3} (RingHom.{u3, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u3, u3, max u1 u3} (RingHom.{u3, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))))) (MvPolynomial.C.{u3, u1} R σ _inst_1) r)) (FunLike.coe.{max (max (succ u3) (succ u1)) (succ u2), max (succ u3) (succ u1), succ u2} (RingHom.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (MvPolynomial.{u1, u3} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u3} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u3} σ R _inst_1) => A) _x) (MulHomClass.toFunLike.{max (max u3 u1) u2, max u3 u1, u2} (RingHom.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (MvPolynomial.{u1, u3} σ R _inst_1) A (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (NonUnitalRingHomClass.toMulHomClass.{max (max u3 u1) u2, max u3 u1, u2} (RingHom.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (MvPolynomial.{u1, u3} σ R _inst_1) A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (RingHomClass.toNonUnitalRingHomClass.{max (max u3 u1) u2, max u3 u1, u2} (RingHom.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (MvPolynomial.{u1, u3} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} A _inst_3) (RingHom.instRingHomClassRingHom.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} A _inst_3))))) f (FunLike.coe.{max (succ u1) (succ u3), succ u3, max (succ u1) (succ u3)} (RingHom.{u3, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u3} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u3, u3, max u1 u3} (RingHom.{u3, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u3, u3, max u1 u3} (RingHom.{u3, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u3, u3, max u1 u3} (RingHom.{u3, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))))) (MvPolynomial.C.{u3, u1} R σ _inst_1) r)) (FunLike.coe.{max (max (succ u3) (succ u1)) (succ u2), max (succ u3) (succ u1), succ u2} (RingHom.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (MvPolynomial.{u1, u3} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u3} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u3} σ R _inst_1) => A) _x) (MulHomClass.toFunLike.{max (max u3 u1) u2, max u3 u1, u2} (RingHom.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (MvPolynomial.{u1, u3} σ R _inst_1) A (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (NonUnitalRingHomClass.toMulHomClass.{max (max u3 u1) u2, max u3 u1, u2} (RingHom.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (MvPolynomial.{u1, u3} σ R _inst_1) A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (RingHomClass.toNonUnitalRingHomClass.{max (max u3 u1) u2, max u3 u1, u2} (RingHom.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (MvPolynomial.{u1, u3} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} A _inst_3) (RingHom.instRingHomClassRingHom.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} A _inst_3))))) g (FunLike.coe.{max (succ u1) (succ u3), succ u3, max (succ u1) (succ u3)} (RingHom.{u3, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u3} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u3, u3, max u1 u3} (RingHom.{u3, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u3, u3, max u1 u3} (RingHom.{u3, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u3, u3, max u1 u3} (RingHom.{u3, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))))) (MvPolynomial.C.{u3, u1} R σ _inst_1) r))) -> (forall (i : σ), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u3} σ R _inst_1) => A) (MvPolynomial.X.{u3, u1} R σ _inst_1 i)) (FunLike.coe.{max (max (succ u3) (succ u1)) (succ u2), max (succ u3) (succ u1), succ u2} (RingHom.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (MvPolynomial.{u1, u3} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u3} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u3} σ R _inst_1) => A) _x) (MulHomClass.toFunLike.{max (max u3 u1) u2, max u3 u1, u2} (RingHom.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (MvPolynomial.{u1, u3} σ R _inst_1) A (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (NonUnitalRingHomClass.toMulHomClass.{max (max u3 u1) u2, max u3 u1, u2} (RingHom.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (MvPolynomial.{u1, u3} σ R _inst_1) A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (RingHomClass.toNonUnitalRingHomClass.{max (max u3 u1) u2, max u3 u1, u2} (RingHom.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (MvPolynomial.{u1, u3} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} A _inst_3) (RingHom.instRingHomClassRingHom.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} A _inst_3))))) f (MvPolynomial.X.{u3, u1} R σ _inst_1 i)) (FunLike.coe.{max (max (succ u3) (succ u1)) (succ u2), max (succ u3) (succ u1), succ u2} (RingHom.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (MvPolynomial.{u1, u3} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u3} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u3} σ R _inst_1) => A) _x) (MulHomClass.toFunLike.{max (max u3 u1) u2, max u3 u1, u2} (RingHom.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (MvPolynomial.{u1, u3} σ R _inst_1) A (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (NonUnitalRingHomClass.toMulHomClass.{max (max u3 u1) u2, max u3 u1, u2} (RingHom.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (MvPolynomial.{u1, u3} σ R _inst_1) A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (RingHomClass.toNonUnitalRingHomClass.{max (max u3 u1) u2, max u3 u1, u2} (RingHom.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (MvPolynomial.{u1, u3} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} A _inst_3) (RingHom.instRingHomClassRingHom.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} A _inst_3))))) g (MvPolynomial.X.{u3, u1} R σ _inst_1 i))) -> (Eq.{max (max (succ u3) (succ u1)) (succ u2)} (RingHom.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) f g)
+<too large>
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.ring_hom_ext MvPolynomial.ringHom_extₓ'. -/
 theorem ringHom_ext {A : Type _} [Semiring A] {f g : MvPolynomial σ R →+* A}
     (hC : ∀ r, f (C r) = g (C r)) (hX : ∀ i, f (X i) = g (X i)) : f = g :=
@@ -747,10 +672,7 @@ theorem ringHom_ext {A : Type _} [Semiring A] {f g : MvPolynomial σ R →+* A}
 #align mv_polynomial.ring_hom_ext MvPolynomial.ringHom_ext
 
 /- warning: mv_polynomial.ring_hom_ext' -> MvPolynomial.ringHom_ext' is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {A : Type.{u3}} [_inst_3 : Semiring.{u3} A] {f : RingHom.{max u2 u1, u3} (MvPolynomial.{u2, u1} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} A _inst_3)} {g : RingHom.{max u2 u1, u3} (MvPolynomial.{u2, u1} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} A _inst_3)}, (Eq.{max (succ u1) (succ u3)} (RingHom.{u1, u3} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} A _inst_3)) (RingHom.comp.{u1, max u2 u1, u3} R (MvPolynomial.{u2, u1} σ R _inst_1) A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} A _inst_3) f (MvPolynomial.C.{u1, u2} R σ _inst_1)) (RingHom.comp.{u1, max u2 u1, u3} R (MvPolynomial.{u2, u1} σ R _inst_1) A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} A _inst_3) g (MvPolynomial.C.{u1, u2} R σ _inst_1))) -> (forall (i : σ), Eq.{succ u3} A (coeFn.{max (succ (max u2 u1)) (succ u3), max (succ (max u2 u1)) (succ u3)} (RingHom.{max u2 u1, u3} (MvPolynomial.{u2, u1} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} A _inst_3)) (fun (_x : RingHom.{max u2 u1, u3} (MvPolynomial.{u2, u1} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} A _inst_3)) => (MvPolynomial.{u2, u1} σ R _inst_1) -> A) (RingHom.hasCoeToFun.{max u2 u1, u3} (MvPolynomial.{u2, u1} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} A _inst_3)) f (MvPolynomial.X.{u1, u2} R σ _inst_1 i)) (coeFn.{max (succ (max u2 u1)) (succ u3), max (succ (max u2 u1)) (succ u3)} (RingHom.{max u2 u1, u3} (MvPolynomial.{u2, u1} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} A _inst_3)) (fun (_x : RingHom.{max u2 u1, u3} (MvPolynomial.{u2, u1} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} A _inst_3)) => (MvPolynomial.{u2, u1} σ R _inst_1) -> A) (RingHom.hasCoeToFun.{max u2 u1, u3} (MvPolynomial.{u2, u1} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} A _inst_3)) g (MvPolynomial.X.{u1, u2} R σ _inst_1 i))) -> (Eq.{max (succ (max u2 u1)) (succ u3)} (RingHom.{max u2 u1, u3} (MvPolynomial.{u2, u1} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} A _inst_3)) f g)
-but is expected to have type
-  forall {R : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u3} R] {A : Type.{u2}} [_inst_3 : Semiring.{u2} A] {f : RingHom.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} A _inst_3)} {g : RingHom.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} A _inst_3)}, (Eq.{max (succ u3) (succ u2)} (RingHom.{u3, u2} R A (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (RingHom.comp.{u3, max u3 u1, u2} R (MvPolynomial.{u1, u3} σ R _inst_1) A (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} A _inst_3) f (MvPolynomial.C.{u3, u1} R σ _inst_1)) (RingHom.comp.{u3, max u3 u1, u2} R (MvPolynomial.{u1, u3} σ R _inst_1) A (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} A _inst_3) g (MvPolynomial.C.{u3, u1} R σ _inst_1))) -> (forall (i : σ), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u3} σ R _inst_1) => A) (MvPolynomial.X.{u3, u1} R σ _inst_1 i)) (FunLike.coe.{max (max (succ u3) (succ u1)) (succ u2), max (succ u3) (succ u1), succ u2} (RingHom.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (MvPolynomial.{u1, u3} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u3} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u3} σ R _inst_1) => A) _x) (MulHomClass.toFunLike.{max (max u3 u1) u2, max u3 u1, u2} (RingHom.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (MvPolynomial.{u1, u3} σ R _inst_1) A (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (NonUnitalRingHomClass.toMulHomClass.{max (max u3 u1) u2, max u3 u1, u2} (RingHom.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (MvPolynomial.{u1, u3} σ R _inst_1) A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (RingHomClass.toNonUnitalRingHomClass.{max (max u3 u1) u2, max u3 u1, u2} (RingHom.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (MvPolynomial.{u1, u3} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} A _inst_3) (RingHom.instRingHomClassRingHom.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} A _inst_3))))) f (MvPolynomial.X.{u3, u1} R σ _inst_1 i)) (FunLike.coe.{max (max (succ u3) (succ u1)) (succ u2), max (succ u3) (succ u1), succ u2} (RingHom.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (MvPolynomial.{u1, u3} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u3} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u3} σ R _inst_1) => A) _x) (MulHomClass.toFunLike.{max (max u3 u1) u2, max u3 u1, u2} (RingHom.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (MvPolynomial.{u1, u3} σ R _inst_1) A (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (NonUnitalRingHomClass.toMulHomClass.{max (max u3 u1) u2, max u3 u1, u2} (RingHom.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (MvPolynomial.{u1, u3} σ R _inst_1) A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (RingHomClass.toNonUnitalRingHomClass.{max (max u3 u1) u2, max u3 u1, u2} (RingHom.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (MvPolynomial.{u1, u3} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} A _inst_3) (RingHom.instRingHomClassRingHom.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} A _inst_3))))) g (MvPolynomial.X.{u3, u1} R σ _inst_1 i))) -> (Eq.{max (max (succ u3) (succ u1)) (succ u2)} (RingHom.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) f g)
+<too large>
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.ring_hom_ext' MvPolynomial.ringHom_ext'ₓ'. -/
 /-- See note [partially-applied ext lemmas]. -/
 @[ext]
@@ -760,10 +682,7 @@ theorem ringHom_ext' {A : Type _} [Semiring A] {f g : MvPolynomial σ R →+* A}
 #align mv_polynomial.ring_hom_ext' MvPolynomial.ringHom_ext'
 
 /- warning: mv_polynomial.hom_eq_hom -> MvPolynomial.hom_eq_hom is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {S₂ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_3 : Semiring.{u2} S₂] (f : RingHom.{max u3 u1, u2} (MvPolynomial.{u3, u1} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₂ _inst_3)) (g : RingHom.{max u3 u1, u2} (MvPolynomial.{u3, u1} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₂ _inst_3)), (Eq.{max (succ u1) (succ u2)} (RingHom.{u1, u2} R S₂ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₂ _inst_3)) (RingHom.comp.{u1, max u3 u1, u2} R (MvPolynomial.{u3, u1} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₂ _inst_3) f (MvPolynomial.C.{u1, u3} R σ _inst_1)) (RingHom.comp.{u1, max u3 u1, u2} R (MvPolynomial.{u3, u1} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₂ _inst_3) g (MvPolynomial.C.{u1, u3} R σ _inst_1))) -> (forall (n : σ), Eq.{succ u2} S₂ (coeFn.{max (succ (max u3 u1)) (succ u2), max (succ (max u3 u1)) (succ u2)} (RingHom.{max u3 u1, u2} (MvPolynomial.{u3, u1} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₂ _inst_3)) (fun (_x : RingHom.{max u3 u1, u2} (MvPolynomial.{u3, u1} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₂ _inst_3)) => (MvPolynomial.{u3, u1} σ R _inst_1) -> S₂) (RingHom.hasCoeToFun.{max u3 u1, u2} (MvPolynomial.{u3, u1} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₂ _inst_3)) f (MvPolynomial.X.{u1, u3} R σ _inst_1 n)) (coeFn.{max (succ (max u3 u1)) (succ u2), max (succ (max u3 u1)) (succ u2)} (RingHom.{max u3 u1, u2} (MvPolynomial.{u3, u1} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₂ _inst_3)) (fun (_x : RingHom.{max u3 u1, u2} (MvPolynomial.{u3, u1} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₂ _inst_3)) => (MvPolynomial.{u3, u1} σ R _inst_1) -> S₂) (RingHom.hasCoeToFun.{max u3 u1, u2} (MvPolynomial.{u3, u1} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₂ _inst_3)) g (MvPolynomial.X.{u1, u3} R σ _inst_1 n))) -> (forall (p : MvPolynomial.{u3, u1} σ R _inst_1), Eq.{succ u2} S₂ (coeFn.{max (succ (max u3 u1)) (succ u2), max (succ (max u3 u1)) (succ u2)} (RingHom.{max u3 u1, u2} (MvPolynomial.{u3, u1} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₂ _inst_3)) (fun (_x : RingHom.{max u3 u1, u2} (MvPolynomial.{u3, u1} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₂ _inst_3)) => (MvPolynomial.{u3, u1} σ R _inst_1) -> S₂) (RingHom.hasCoeToFun.{max u3 u1, u2} (MvPolynomial.{u3, u1} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₂ _inst_3)) f p) (coeFn.{max (succ (max u3 u1)) (succ u2), max (succ (max u3 u1)) (succ u2)} (RingHom.{max u3 u1, u2} (MvPolynomial.{u3, u1} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₂ _inst_3)) (fun (_x : RingHom.{max u3 u1, u2} (MvPolynomial.{u3, u1} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₂ _inst_3)) => (MvPolynomial.{u3, u1} σ R _inst_1) -> S₂) (RingHom.hasCoeToFun.{max u3 u1, u2} (MvPolynomial.{u3, u1} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₂ _inst_3)) g p))
-but is expected to have type
-  forall {R : Type.{u2}} {S₂ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_3 : Semiring.{u3} S₂] (f : RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ _inst_3)) (g : RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ _inst_3)), (Eq.{max (succ u2) (succ u3)} (RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ _inst_3)) (RingHom.comp.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ _inst_3) f (MvPolynomial.C.{u2, u1} R σ _inst_1)) (RingHom.comp.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ _inst_3) g (MvPolynomial.C.{u2, u1} R σ _inst_1))) -> (forall (n : σ), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => S₂) (MvPolynomial.X.{u2, u1} R σ _inst_1 n)) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u2) (succ u1), succ u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ _inst_3)) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => S₂) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ _inst_3)) (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u3} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ _inst_3))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ _inst_3)) (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ _inst_3)) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ _inst_3)) (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ _inst_3) (RingHom.instRingHomClassRingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ _inst_3))))) f (MvPolynomial.X.{u2, u1} R σ _inst_1 n)) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u2) (succ u1), succ u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ _inst_3)) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => S₂) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ _inst_3)) (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u3} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ _inst_3))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ _inst_3)) (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ _inst_3)) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ _inst_3)) (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ _inst_3) (RingHom.instRingHomClassRingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ _inst_3))))) g (MvPolynomial.X.{u2, u1} R σ _inst_1 n))) -> (forall (p : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => S₂) p) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u2) (succ u1), succ u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ _inst_3)) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => S₂) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ _inst_3)) (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u3} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ _inst_3))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ _inst_3)) (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ _inst_3)) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ _inst_3)) (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ _inst_3) (RingHom.instRingHomClassRingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ _inst_3))))) f p) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u2) (succ u1), succ u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ _inst_3)) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => S₂) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ _inst_3)) (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u3} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ _inst_3))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ _inst_3)) (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ _inst_3)) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ _inst_3)) (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ _inst_3) (RingHom.instRingHomClassRingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ _inst_3))))) g p))
+<too large>
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.hom_eq_hom MvPolynomial.hom_eq_homₓ'. -/
 theorem hom_eq_hom [Semiring S₂] (f g : MvPolynomial σ R →+* S₂) (hC : f.comp C = g.comp C)
     (hX : ∀ n : σ, f (X n) = g (X n)) (p : MvPolynomial σ R) : f p = g p :=
@@ -771,10 +690,7 @@ theorem hom_eq_hom [Semiring S₂] (f g : MvPolynomial σ R →+* S₂) (hC : f.
 #align mv_polynomial.hom_eq_hom MvPolynomial.hom_eq_hom
 
 /- warning: mv_polynomial.is_id -> MvPolynomial.is_id is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] (f : RingHom.{max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))), (Eq.{max (succ u1) (succ (max u2 u1))} (RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (RingHom.comp.{u1, max u2 u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) f (MvPolynomial.C.{u1, u2} R σ _inst_1)) (MvPolynomial.C.{u1, u2} R σ _inst_1)) -> (forall (n : σ), Eq.{max (succ u2) (succ u1)} (MvPolynomial.{u2, u1} σ R _inst_1) (coeFn.{succ (max u2 u1), succ (max u2 u1)} (RingHom.{max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (fun (_x : RingHom.{max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) => (MvPolynomial.{u2, u1} σ R _inst_1) -> (MvPolynomial.{u2, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) f (MvPolynomial.X.{u1, u2} R σ _inst_1 n)) (MvPolynomial.X.{u1, u2} R σ _inst_1 n)) -> (forall (p : MvPolynomial.{u2, u1} σ R _inst_1), Eq.{max (succ u2) (succ u1)} (MvPolynomial.{u2, u1} σ R _inst_1) (coeFn.{succ (max u2 u1), succ (max u2 u1)} (RingHom.{max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (fun (_x : RingHom.{max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) => (MvPolynomial.{u2, u1} σ R _inst_1) -> (MvPolynomial.{u2, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) f p) p)
-but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] (f : RingHom.{max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))), (Eq.{max (succ u2) (succ u1)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHom.comp.{u2, max u2 u1, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) f (MvPolynomial.C.{u2, u1} R σ _inst_1)) (MvPolynomial.C.{u2, u1} R σ _inst_1)) -> (forall (n : σ), Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.X.{u2, u1} R σ _inst_1 n)) (FunLike.coe.{max (succ u2) (succ u1), max (succ u2) (succ u1), max (succ u2) (succ u1)} (RingHom.{max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u2 u1, max u2 u1, max u2 u1} (RingHom.{max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, max u2 u1, max u2 u1} (RingHom.{max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, max u2 u1, max u2 u1} (RingHom.{max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) f (MvPolynomial.X.{u2, u1} R σ _inst_1 n)) (MvPolynomial.X.{u2, u1} R σ _inst_1 n)) -> (forall (p : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u2} σ R _inst_1) p) (FunLike.coe.{max (succ u2) (succ u1), max (succ u2) (succ u1), max (succ u2) (succ u1)} (RingHom.{max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u2 u1, max u2 u1, max u2 u1} (RingHom.{max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, max u2 u1, max u2 u1} (RingHom.{max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, max u2 u1, max u2 u1} (RingHom.{max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) f p) p)
+<too large>
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.is_id MvPolynomial.is_idₓ'. -/
 theorem is_id (f : MvPolynomial σ R →+* MvPolynomial σ R) (hC : f.comp C = C)
     (hX : ∀ n : σ, f (X n) = X n) (p : MvPolynomial σ R) : f p = p :=
@@ -782,10 +698,7 @@ theorem is_id (f : MvPolynomial σ R →+* MvPolynomial σ R) (hC : f.comp C = C
 #align mv_polynomial.is_id MvPolynomial.is_id
 
 /- warning: mv_polynomial.alg_hom_ext' -> MvPolynomial.algHom_ext' is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {A : Type.{u3}} {B : Type.{u4}} [_inst_3 : CommSemiring.{u3} A] [_inst_4 : CommSemiring.{u4} B] [_inst_5 : Algebra.{u1, u3} R A _inst_1 (CommSemiring.toSemiring.{u3} A _inst_3)] [_inst_6 : Algebra.{u1, u4} R B _inst_1 (CommSemiring.toSemiring.{u4} B _inst_4)] {f : AlgHom.{u1, max u2 u3, u4} R (MvPolynomial.{u2, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u2} A σ _inst_3)) (CommSemiring.toSemiring.{u4} B _inst_4) (MvPolynomial.algebra.{u1, u3, u2} R A σ _inst_1 _inst_3 _inst_5) _inst_6} {g : AlgHom.{u1, max u2 u3, u4} R (MvPolynomial.{u2, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u2} A σ _inst_3)) (CommSemiring.toSemiring.{u4} B _inst_4) (MvPolynomial.algebra.{u1, u3, u2} R A σ _inst_1 _inst_3 _inst_5) _inst_6}, (Eq.{max (succ u3) (succ u4)} (AlgHom.{u1, u3, u4} R A B _inst_1 (CommSemiring.toSemiring.{u3} A _inst_3) (CommSemiring.toSemiring.{u4} B _inst_4) _inst_5 _inst_6) (AlgHom.comp.{u1, u3, max u2 u3, u4} R A (MvPolynomial.{u2, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{u3} A _inst_3) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u2} A σ _inst_3)) (CommSemiring.toSemiring.{u4} B _inst_4) _inst_5 (MvPolynomial.algebra.{u1, u3, u2} R A σ _inst_1 _inst_3 _inst_5) _inst_6 f (IsScalarTower.toAlgHom.{u1, u3, max u2 u3} R A (MvPolynomial.{u2, u3} σ A _inst_3) _inst_1 _inst_3 (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u2} A σ _inst_3)) _inst_5 (MvPolynomial.algebra.{u3, u3, u2} A A σ _inst_3 _inst_3 (Algebra.id.{u3} A _inst_3)) (MvPolynomial.algebra.{u1, u3, u2} R A σ _inst_1 _inst_3 _inst_5) (MvPolynomial.isScalarTower.{u1, u3, u3, u2} R A A σ _inst_3 (SMulZeroClass.toHasSmul.{u1, u3} R A (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3))))))) (SMulWithZero.toSmulZeroClass.{u1, u3} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3))))))) (MulActionWithZero.toSMulWithZero.{u1, u3} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3))))))) (Module.toMulActionWithZero.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3)))) (Algebra.toModule.{u1, u3} R A _inst_1 (CommSemiring.toSemiring.{u3} A _inst_3) _inst_5))))) (SMulWithZero.toSmulZeroClass.{u1, u3} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (MulZeroClass.toHasZero.{u3} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u3} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toHasZero.{u3} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3))))) (Module.toMulActionWithZero.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3)))) (Algebra.toModule.{u1, u3} R A _inst_1 (CommSemiring.toSemiring.{u3} A _inst_3) _inst_5)))) (SMulWithZero.toSmulZeroClass.{u3, u3} A A (MulZeroClass.toHasZero.{u3} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3))))) (MulZeroClass.toHasZero.{u3} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3))))) (MulZeroClass.toSMulWithZero.{u3} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3)))))) (IsScalarTower.right.{u1, u3} R A _inst_1 (CommSemiring.toSemiring.{u3} A _inst_3) _inst_5)))) (AlgHom.comp.{u1, u3, max u2 u3, u4} R A (MvPolynomial.{u2, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{u3} A _inst_3) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u2} A σ _inst_3)) (CommSemiring.toSemiring.{u4} B _inst_4) _inst_5 (MvPolynomial.algebra.{u1, u3, u2} R A σ _inst_1 _inst_3 _inst_5) _inst_6 g (IsScalarTower.toAlgHom.{u1, u3, max u2 u3} R A (MvPolynomial.{u2, u3} σ A _inst_3) _inst_1 _inst_3 (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u2} A σ _inst_3)) _inst_5 (MvPolynomial.algebra.{u3, u3, u2} A A σ _inst_3 _inst_3 (Algebra.id.{u3} A _inst_3)) (MvPolynomial.algebra.{u1, u3, u2} R A σ _inst_1 _inst_3 _inst_5) (MvPolynomial.isScalarTower.{u1, u3, u3, u2} R A A σ _inst_3 (SMulZeroClass.toHasSmul.{u1, u3} R A (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3))))))) (SMulWithZero.toSmulZeroClass.{u1, u3} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3))))))) (MulActionWithZero.toSMulWithZero.{u1, u3} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3))))))) (Module.toMulActionWithZero.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3)))) (Algebra.toModule.{u1, u3} R A _inst_1 (CommSemiring.toSemiring.{u3} A _inst_3) _inst_5))))) (SMulWithZero.toSmulZeroClass.{u1, u3} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (MulZeroClass.toHasZero.{u3} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u3} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toHasZero.{u3} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3))))) (Module.toMulActionWithZero.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3)))) (Algebra.toModule.{u1, u3} R A _inst_1 (CommSemiring.toSemiring.{u3} A _inst_3) _inst_5)))) (SMulWithZero.toSmulZeroClass.{u3, u3} A A (MulZeroClass.toHasZero.{u3} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3))))) (MulZeroClass.toHasZero.{u3} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3))))) (MulZeroClass.toSMulWithZero.{u3} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3)))))) (IsScalarTower.right.{u1, u3} R A _inst_1 (CommSemiring.toSemiring.{u3} A _inst_3) _inst_5))))) -> (forall (i : σ), Eq.{succ u4} B (coeFn.{max (succ (max u2 u3)) (succ u4), max (succ (max u2 u3)) (succ u4)} (AlgHom.{u1, max u2 u3, u4} R (MvPolynomial.{u2, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u2} A σ _inst_3)) (CommSemiring.toSemiring.{u4} B _inst_4) (MvPolynomial.algebra.{u1, u3, u2} R A σ _inst_1 _inst_3 _inst_5) _inst_6) (fun (_x : AlgHom.{u1, max u2 u3, u4} R (MvPolynomial.{u2, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u2} A σ _inst_3)) (CommSemiring.toSemiring.{u4} B _inst_4) (MvPolynomial.algebra.{u1, u3, u2} R A σ _inst_1 _inst_3 _inst_5) _inst_6) => (MvPolynomial.{u2, u3} σ A _inst_3) -> B) ([anonymous].{u1, max u2 u3, u4} R (MvPolynomial.{u2, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u2} A σ _inst_3)) (CommSemiring.toSemiring.{u4} B _inst_4) (MvPolynomial.algebra.{u1, u3, u2} R A σ _inst_1 _inst_3 _inst_5) _inst_6) f (MvPolynomial.X.{u3, u2} A σ _inst_3 i)) (coeFn.{max (succ (max u2 u3)) (succ u4), max (succ (max u2 u3)) (succ u4)} (AlgHom.{u1, max u2 u3, u4} R (MvPolynomial.{u2, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u2} A σ _inst_3)) (CommSemiring.toSemiring.{u4} B _inst_4) (MvPolynomial.algebra.{u1, u3, u2} R A σ _inst_1 _inst_3 _inst_5) _inst_6) (fun (_x : AlgHom.{u1, max u2 u3, u4} R (MvPolynomial.{u2, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u2} A σ _inst_3)) (CommSemiring.toSemiring.{u4} B _inst_4) (MvPolynomial.algebra.{u1, u3, u2} R A σ _inst_1 _inst_3 _inst_5) _inst_6) => (MvPolynomial.{u2, u3} σ A _inst_3) -> B) ([anonymous].{u1, max u2 u3, u4} R (MvPolynomial.{u2, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u2} A σ _inst_3)) (CommSemiring.toSemiring.{u4} B _inst_4) (MvPolynomial.algebra.{u1, u3, u2} R A σ _inst_1 _inst_3 _inst_5) _inst_6) g (MvPolynomial.X.{u3, u2} A σ _inst_3 i))) -> (Eq.{max (succ (max u2 u3)) (succ u4)} (AlgHom.{u1, max u2 u3, u4} R (MvPolynomial.{u2, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u2} A σ _inst_3)) (CommSemiring.toSemiring.{u4} B _inst_4) (MvPolynomial.algebra.{u1, u3, u2} R A σ _inst_1 _inst_3 _inst_5) _inst_6) f g)
-but is expected to have type
-  forall {R : Type.{u4}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u4} R] {A : Type.{u3}} {B : Type.{u2}} [_inst_3 : CommSemiring.{u3} A] [_inst_4 : CommSemiring.{u2} B] [_inst_5 : Algebra.{u4, u3} R A _inst_1 (CommSemiring.toSemiring.{u3} A _inst_3)] [_inst_6 : Algebra.{u4, u2} R B _inst_1 (CommSemiring.toSemiring.{u2} B _inst_4)] {f : AlgHom.{u4, max u3 u1, u2} R (MvPolynomial.{u1, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) (CommSemiring.toSemiring.{u2} B _inst_4) (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5) _inst_6} {g : AlgHom.{u4, max u3 u1, u2} R (MvPolynomial.{u1, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) (CommSemiring.toSemiring.{u2} B _inst_4) (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5) _inst_6}, (Eq.{max (succ u3) (succ u2)} (AlgHom.{u4, u3, u2} R A B _inst_1 (CommSemiring.toSemiring.{u3} A _inst_3) (CommSemiring.toSemiring.{u2} B _inst_4) _inst_5 _inst_6) (AlgHom.comp.{u4, u3, max u1 u3, u2} R A (MvPolynomial.{u1, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{u3} A _inst_3) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) (CommSemiring.toSemiring.{u2} B _inst_4) _inst_5 (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5) _inst_6 f (IsScalarTower.toAlgHom.{u4, u3, max u3 u1} R A (MvPolynomial.{u1, u3} σ A _inst_3) _inst_1 _inst_3 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) _inst_5 (MvPolynomial.algebra.{u3, u3, u1} A A σ _inst_3 _inst_3 (Algebra.id.{u3} A _inst_3)) (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5) (MvPolynomial.isScalarTower.{u4, u3, u3, u1} R A A σ _inst_3 (Algebra.toSMul.{u4, u3} R A _inst_1 (CommSemiring.toSemiring.{u3} A _inst_3) _inst_5) (SMulWithZero.toSMulZeroClass.{u4, u3} R A (CommMonoidWithZero.toZero.{u4} R (CommSemiring.toCommMonoidWithZero.{u4} R _inst_1)) (MonoidWithZero.toZero.{u3} A (Semiring.toMonoidWithZero.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3))) (MulActionWithZero.toSMulWithZero.{u4, u3} R A (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (MonoidWithZero.toZero.{u3} A (Semiring.toMonoidWithZero.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3))) (Module.toMulActionWithZero.{u4, u3} R A (CommSemiring.toSemiring.{u4} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3)))) (Algebra.toModule.{u4, u3} R A _inst_1 (CommSemiring.toSemiring.{u3} A _inst_3) _inst_5)))) (SMulWithZero.toSMulZeroClass.{u3, u3} A A (CommMonoidWithZero.toZero.{u3} A (CommSemiring.toCommMonoidWithZero.{u3} A _inst_3)) (MonoidWithZero.toZero.{u3} A (Semiring.toMonoidWithZero.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3))) (MulActionWithZero.toSMulWithZero.{u3, u3} A A (Semiring.toMonoidWithZero.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3)) (MonoidWithZero.toZero.{u3} A (Semiring.toMonoidWithZero.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3))) (Module.toMulActionWithZero.{u3, u3} A A (CommSemiring.toSemiring.{u3} A _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3)))) (Algebra.toModule.{u3, u3} A A _inst_3 (CommSemiring.toSemiring.{u3} A _inst_3) (Algebra.id.{u3} A _inst_3))))) (IsScalarTower.right.{u4, u3} R A _inst_1 (CommSemiring.toSemiring.{u3} A _inst_3) _inst_5)))) (AlgHom.comp.{u4, u3, max u1 u3, u2} R A (MvPolynomial.{u1, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{u3} A _inst_3) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) (CommSemiring.toSemiring.{u2} B _inst_4) _inst_5 (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5) _inst_6 g (IsScalarTower.toAlgHom.{u4, u3, max u3 u1} R A (MvPolynomial.{u1, u3} σ A _inst_3) _inst_1 _inst_3 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) _inst_5 (MvPolynomial.algebra.{u3, u3, u1} A A σ _inst_3 _inst_3 (Algebra.id.{u3} A _inst_3)) (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5) (MvPolynomial.isScalarTower.{u4, u3, u3, u1} R A A σ _inst_3 (Algebra.toSMul.{u4, u3} R A _inst_1 (CommSemiring.toSemiring.{u3} A _inst_3) _inst_5) (SMulWithZero.toSMulZeroClass.{u4, u3} R A (CommMonoidWithZero.toZero.{u4} R (CommSemiring.toCommMonoidWithZero.{u4} R _inst_1)) (MonoidWithZero.toZero.{u3} A (Semiring.toMonoidWithZero.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3))) (MulActionWithZero.toSMulWithZero.{u4, u3} R A (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (MonoidWithZero.toZero.{u3} A (Semiring.toMonoidWithZero.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3))) (Module.toMulActionWithZero.{u4, u3} R A (CommSemiring.toSemiring.{u4} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3)))) (Algebra.toModule.{u4, u3} R A _inst_1 (CommSemiring.toSemiring.{u3} A _inst_3) _inst_5)))) (SMulWithZero.toSMulZeroClass.{u3, u3} A A (CommMonoidWithZero.toZero.{u3} A (CommSemiring.toCommMonoidWithZero.{u3} A _inst_3)) (MonoidWithZero.toZero.{u3} A (Semiring.toMonoidWithZero.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3))) (MulActionWithZero.toSMulWithZero.{u3, u3} A A (Semiring.toMonoidWithZero.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3)) (MonoidWithZero.toZero.{u3} A (Semiring.toMonoidWithZero.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3))) (Module.toMulActionWithZero.{u3, u3} A A (CommSemiring.toSemiring.{u3} A _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3)))) (Algebra.toModule.{u3, u3} A A _inst_3 (CommSemiring.toSemiring.{u3} A _inst_3) (Algebra.id.{u3} A _inst_3))))) (IsScalarTower.right.{u4, u3} R A _inst_1 (CommSemiring.toSemiring.{u3} A _inst_3) _inst_5))))) -> (forall (i : σ), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : MvPolynomial.{u1, u3} σ A _inst_3) => B) (MvPolynomial.X.{u3, u1} A σ _inst_3 i)) (FunLike.coe.{max (max (succ u1) (succ u3)) (succ u2), max (succ u1) (succ u3), succ u2} (AlgHom.{u4, max u3 u1, u2} R (MvPolynomial.{u1, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) (CommSemiring.toSemiring.{u2} B _inst_4) (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5) _inst_6) (MvPolynomial.{u1, u3} σ A _inst_3) (fun (_x : MvPolynomial.{u1, u3} σ A _inst_3) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : MvPolynomial.{u1, u3} σ A _inst_3) => B) _x) (SMulHomClass.toFunLike.{max (max u1 u3) u2, u4, max u1 u3, u2} (AlgHom.{u4, max u3 u1, u2} R (MvPolynomial.{u1, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) (CommSemiring.toSemiring.{u2} B _inst_4) (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5) _inst_6) R (MvPolynomial.{u1, u3} σ A _inst_3) B (SMulZeroClass.toSMul.{u4, max u1 u3} R (MvPolynomial.{u1, u3} σ A _inst_3) (AddMonoid.toZero.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (AddCommMonoid.toAddMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3))))))) (DistribSMul.toSMulZeroClass.{u4, max u1 u3} R (MvPolynomial.{u1, u3} σ A _inst_3) (AddMonoid.toAddZeroClass.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (AddCommMonoid.toAddMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3))))))) (DistribMulAction.toDistribSMul.{u4, max u1 u3} R (MvPolynomial.{u1, u3} σ A _inst_3) (MonoidWithZero.toMonoid.{u4} R (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)))))) (Module.toDistribMulAction.{u4, max u1 u3} R (MvPolynomial.{u1, u3} σ A _inst_3) (CommSemiring.toSemiring.{u4} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3))))) (Algebra.toModule.{u4, max u1 u3} R (MvPolynomial.{u1, u3} σ A _inst_3) _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5)))))) (SMulZeroClass.toSMul.{u4, u2} R B (AddMonoid.toZero.{u2} B (AddCommMonoid.toAddMonoid.{u2} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_4)))))) (DistribSMul.toSMulZeroClass.{u4, u2} R B (AddMonoid.toAddZeroClass.{u2} B (AddCommMonoid.toAddMonoid.{u2} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_4)))))) (DistribMulAction.toDistribSMul.{u4, u2} R B (MonoidWithZero.toMonoid.{u4} R (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (AddCommMonoid.toAddMonoid.{u2} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_4))))) (Module.toDistribMulAction.{u4, u2} R B (CommSemiring.toSemiring.{u4} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_4)))) (Algebra.toModule.{u4, u2} R B _inst_1 (CommSemiring.toSemiring.{u2} B _inst_4) _inst_6))))) (DistribMulActionHomClass.toSMulHomClass.{max (max u1 u3) u2, u4, max u1 u3, u2} (AlgHom.{u4, max u3 u1, u2} R (MvPolynomial.{u1, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) (CommSemiring.toSemiring.{u2} B _inst_4) (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5) _inst_6) R (MvPolynomial.{u1, u3} σ A _inst_3) B (MonoidWithZero.toMonoid.{u4} R (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)))))) (AddCommMonoid.toAddMonoid.{u2} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_4))))) (Module.toDistribMulAction.{u4, max u1 u3} R (MvPolynomial.{u1, u3} σ A _inst_3) (CommSemiring.toSemiring.{u4} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3))))) (Algebra.toModule.{u4, max u1 u3} R (MvPolynomial.{u1, u3} σ A _inst_3) _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5))) (Module.toDistribMulAction.{u4, u2} R B (CommSemiring.toSemiring.{u4} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_4)))) (Algebra.toModule.{u4, u2} R B _inst_1 (CommSemiring.toSemiring.{u2} B _inst_4) _inst_6)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max (max u1 u3) u2, u4, max u1 u3, u2} (AlgHom.{u4, max u3 u1, u2} R (MvPolynomial.{u1, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) (CommSemiring.toSemiring.{u2} B _inst_4) (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5) _inst_6) R (MvPolynomial.{u1, u3} σ A _inst_3) B (MonoidWithZero.toMonoid.{u4} R (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_4))) (Module.toDistribMulAction.{u4, max u1 u3} R (MvPolynomial.{u1, u3} σ A _inst_3) (CommSemiring.toSemiring.{u4} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3))))) (Algebra.toModule.{u4, max u1 u3} R (MvPolynomial.{u1, u3} σ A _inst_3) _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5))) (Module.toDistribMulAction.{u4, u2} R B (CommSemiring.toSemiring.{u4} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_4)))) (Algebra.toModule.{u4, u2} R B _inst_1 (CommSemiring.toSemiring.{u2} B _inst_4) _inst_6)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u4, max u1 u3, u2, max (max u1 u3) u2} R (MvPolynomial.{u1, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) (CommSemiring.toSemiring.{u2} B _inst_4) (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5) _inst_6 (AlgHom.{u4, max u3 u1, u2} R (MvPolynomial.{u1, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) (CommSemiring.toSemiring.{u2} B _inst_4) (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5) _inst_6) (AlgHom.algHomClass.{u4, max u1 u3, u2} R (MvPolynomial.{u1, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) (CommSemiring.toSemiring.{u2} B _inst_4) (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5) _inst_6))))) f (MvPolynomial.X.{u3, u1} A σ _inst_3 i)) (FunLike.coe.{max (max (succ u1) (succ u3)) (succ u2), max (succ u1) (succ u3), succ u2} (AlgHom.{u4, max u3 u1, u2} R (MvPolynomial.{u1, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) (CommSemiring.toSemiring.{u2} B _inst_4) (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5) _inst_6) (MvPolynomial.{u1, u3} σ A _inst_3) (fun (_x : MvPolynomial.{u1, u3} σ A _inst_3) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : MvPolynomial.{u1, u3} σ A _inst_3) => B) _x) (SMulHomClass.toFunLike.{max (max u1 u3) u2, u4, max u1 u3, u2} (AlgHom.{u4, max u3 u1, u2} R (MvPolynomial.{u1, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) (CommSemiring.toSemiring.{u2} B _inst_4) (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5) _inst_6) R (MvPolynomial.{u1, u3} σ A _inst_3) B (SMulZeroClass.toSMul.{u4, max u1 u3} R (MvPolynomial.{u1, u3} σ A _inst_3) (AddMonoid.toZero.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (AddCommMonoid.toAddMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3))))))) (DistribSMul.toSMulZeroClass.{u4, max u1 u3} R (MvPolynomial.{u1, u3} σ A _inst_3) (AddMonoid.toAddZeroClass.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (AddCommMonoid.toAddMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3))))))) (DistribMulAction.toDistribSMul.{u4, max u1 u3} R (MvPolynomial.{u1, u3} σ A _inst_3) (MonoidWithZero.toMonoid.{u4} R (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)))))) (Module.toDistribMulAction.{u4, max u1 u3} R (MvPolynomial.{u1, u3} σ A _inst_3) (CommSemiring.toSemiring.{u4} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3))))) (Algebra.toModule.{u4, max u1 u3} R (MvPolynomial.{u1, u3} σ A _inst_3) _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5)))))) (SMulZeroClass.toSMul.{u4, u2} R B (AddMonoid.toZero.{u2} B (AddCommMonoid.toAddMonoid.{u2} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_4)))))) (DistribSMul.toSMulZeroClass.{u4, u2} R B (AddMonoid.toAddZeroClass.{u2} B (AddCommMonoid.toAddMonoid.{u2} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_4)))))) (DistribMulAction.toDistribSMul.{u4, u2} R B (MonoidWithZero.toMonoid.{u4} R (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (AddCommMonoid.toAddMonoid.{u2} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_4))))) (Module.toDistribMulAction.{u4, u2} R B (CommSemiring.toSemiring.{u4} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_4)))) (Algebra.toModule.{u4, u2} R B _inst_1 (CommSemiring.toSemiring.{u2} B _inst_4) _inst_6))))) (DistribMulActionHomClass.toSMulHomClass.{max (max u1 u3) u2, u4, max u1 u3, u2} (AlgHom.{u4, max u3 u1, u2} R (MvPolynomial.{u1, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) (CommSemiring.toSemiring.{u2} B _inst_4) (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5) _inst_6) R (MvPolynomial.{u1, u3} σ A _inst_3) B (MonoidWithZero.toMonoid.{u4} R (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)))))) (AddCommMonoid.toAddMonoid.{u2} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_4))))) (Module.toDistribMulAction.{u4, max u1 u3} R (MvPolynomial.{u1, u3} σ A _inst_3) (CommSemiring.toSemiring.{u4} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3))))) (Algebra.toModule.{u4, max u1 u3} R (MvPolynomial.{u1, u3} σ A _inst_3) _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5))) (Module.toDistribMulAction.{u4, u2} R B (CommSemiring.toSemiring.{u4} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_4)))) (Algebra.toModule.{u4, u2} R B _inst_1 (CommSemiring.toSemiring.{u2} B _inst_4) _inst_6)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max (max u1 u3) u2, u4, max u1 u3, u2} (AlgHom.{u4, max u3 u1, u2} R (MvPolynomial.{u1, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) (CommSemiring.toSemiring.{u2} B _inst_4) (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5) _inst_6) R (MvPolynomial.{u1, u3} σ A _inst_3) B (MonoidWithZero.toMonoid.{u4} R (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_4))) (Module.toDistribMulAction.{u4, max u1 u3} R (MvPolynomial.{u1, u3} σ A _inst_3) (CommSemiring.toSemiring.{u4} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3))))) (Algebra.toModule.{u4, max u1 u3} R (MvPolynomial.{u1, u3} σ A _inst_3) _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5))) (Module.toDistribMulAction.{u4, u2} R B (CommSemiring.toSemiring.{u4} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_4)))) (Algebra.toModule.{u4, u2} R B _inst_1 (CommSemiring.toSemiring.{u2} B _inst_4) _inst_6)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u4, max u1 u3, u2, max (max u1 u3) u2} R (MvPolynomial.{u1, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) (CommSemiring.toSemiring.{u2} B _inst_4) (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5) _inst_6 (AlgHom.{u4, max u3 u1, u2} R (MvPolynomial.{u1, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) (CommSemiring.toSemiring.{u2} B _inst_4) (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5) _inst_6) (AlgHom.algHomClass.{u4, max u1 u3, u2} R (MvPolynomial.{u1, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) (CommSemiring.toSemiring.{u2} B _inst_4) (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5) _inst_6))))) g (MvPolynomial.X.{u3, u1} A σ _inst_3 i))) -> (Eq.{max (max (succ u1) (succ u3)) (succ u2)} (AlgHom.{u4, max u3 u1, u2} R (MvPolynomial.{u1, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) (CommSemiring.toSemiring.{u2} B _inst_4) (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5) _inst_6) f g)
+<too large>
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.alg_hom_ext' MvPolynomial.algHom_ext'ₓ'. -/
 @[ext]
 theorem algHom_ext' {A B : Type _} [CommSemiring A] [CommSemiring B] [Algebra R A] [Algebra R B]
@@ -798,10 +711,7 @@ theorem algHom_ext' {A B : Type _} [CommSemiring A] [CommSemiring B] [Algebra R
 #align mv_polynomial.alg_hom_ext' MvPolynomial.algHom_ext'
 
 /- warning: mv_polynomial.alg_hom_ext -> MvPolynomial.algHom_ext is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {A : Type.{u3}} [_inst_3 : Semiring.{u3} A] [_inst_4 : Algebra.{u1, u3} R A _inst_1 _inst_3] {f : AlgHom.{u1, max u2 u1, u3} R (MvPolynomial.{u2, u1} σ R _inst_1) A _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) _inst_3 (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_4} {g : AlgHom.{u1, max u2 u1, u3} R (MvPolynomial.{u2, u1} σ R _inst_1) A _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) _inst_3 (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_4}, (forall (i : σ), Eq.{succ u3} A (coeFn.{max (succ (max u2 u1)) (succ u3), max (succ (max u2 u1)) (succ u3)} (AlgHom.{u1, max u2 u1, u3} R (MvPolynomial.{u2, u1} σ R _inst_1) A _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) _inst_3 (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_4) (fun (_x : AlgHom.{u1, max u2 u1, u3} R (MvPolynomial.{u2, u1} σ R _inst_1) A _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) _inst_3 (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_4) => (MvPolynomial.{u2, u1} σ R _inst_1) -> A) ([anonymous].{u1, max u2 u1, u3} R (MvPolynomial.{u2, u1} σ R _inst_1) A _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) _inst_3 (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_4) f (MvPolynomial.X.{u1, u2} R σ _inst_1 i)) (coeFn.{max (succ (max u2 u1)) (succ u3), max (succ (max u2 u1)) (succ u3)} (AlgHom.{u1, max u2 u1, u3} R (MvPolynomial.{u2, u1} σ R _inst_1) A _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) _inst_3 (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_4) (fun (_x : AlgHom.{u1, max u2 u1, u3} R (MvPolynomial.{u2, u1} σ R _inst_1) A _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) _inst_3 (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_4) => (MvPolynomial.{u2, u1} σ R _inst_1) -> A) ([anonymous].{u1, max u2 u1, u3} R (MvPolynomial.{u2, u1} σ R _inst_1) A _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) _inst_3 (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_4) g (MvPolynomial.X.{u1, u2} R σ _inst_1 i))) -> (Eq.{max (succ (max u2 u1)) (succ u3)} (AlgHom.{u1, max u2 u1, u3} R (MvPolynomial.{u2, u1} σ R _inst_1) A _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) _inst_3 (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_4) f g)
-but is expected to have type
-  forall {R : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u3} R] {A : Type.{u2}} [_inst_3 : Semiring.{u2} A] [_inst_4 : Algebra.{u3, u2} R A _inst_1 _inst_3] {f : AlgHom.{u3, max u3 u1, u2} R (MvPolynomial.{u1, u3} σ R _inst_1) A _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) _inst_3 (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_4} {g : AlgHom.{u3, max u3 u1, u2} R (MvPolynomial.{u1, u3} σ R _inst_1) A _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) _inst_3 (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_4}, (forall (i : σ), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : MvPolynomial.{u1, u3} σ R _inst_1) => A) (MvPolynomial.X.{u3, u1} R σ _inst_1 i)) (FunLike.coe.{max (max (succ u3) (succ u1)) (succ u2), max (succ u3) (succ u1), succ u2} (AlgHom.{u3, max u3 u1, u2} R (MvPolynomial.{u1, u3} σ R _inst_1) A _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) _inst_3 (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_4) (MvPolynomial.{u1, u3} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u3} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : MvPolynomial.{u1, u3} σ R _inst_1) => A) _x) (SMulHomClass.toFunLike.{max (max u3 u1) u2, u3, max u3 u1, u2} (AlgHom.{u3, max u3 u1, u2} R (MvPolynomial.{u1, u3} σ R _inst_1) A _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) _inst_3 (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_4) R (MvPolynomial.{u1, u3} σ R _inst_1) A (SMulZeroClass.toSMul.{u3, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) (AddMonoid.toZero.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))))) (DistribSMul.toSMulZeroClass.{u3, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))))) (DistribMulAction.toDistribSMul.{u3, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))))) (Module.toDistribMulAction.{u3, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Algebra.toModule.{u3, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1))))))) (SMulZeroClass.toSMul.{u3, u2} R A (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))))) (DistribSMul.toSMulZeroClass.{u3, u2} R A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))))) (DistribMulAction.toDistribSMul.{u3, u2} R A (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)))) (Module.toDistribMulAction.{u3, u2} R A (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (Algebra.toModule.{u3, u2} R A _inst_1 _inst_3 _inst_4))))) (DistribMulActionHomClass.toSMulHomClass.{max (max u3 u1) u2, u3, max u3 u1, u2} (AlgHom.{u3, max u3 u1, u2} R (MvPolynomial.{u1, u3} σ R _inst_1) A _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) _inst_3 (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_4) R (MvPolynomial.{u1, u3} σ R _inst_1) A (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))))) (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)))) (Module.toDistribMulAction.{u3, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Algebra.toModule.{u3, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)))) (Module.toDistribMulAction.{u3, u2} R A (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (Algebra.toModule.{u3, u2} R A _inst_1 _inst_3 _inst_4)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max (max u3 u1) u2, u3, max u3 u1, u2} (AlgHom.{u3, max u3 u1, u2} R (MvPolynomial.{u1, u3} σ R _inst_1) A _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) _inst_3 (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_4) R (MvPolynomial.{u1, u3} σ R _inst_1) A (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (Module.toDistribMulAction.{u3, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Algebra.toModule.{u3, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)))) (Module.toDistribMulAction.{u3, u2} R A (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (Algebra.toModule.{u3, u2} R A _inst_1 _inst_3 _inst_4)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u3, max u3 u1, u2, max (max u3 u1) u2} R (MvPolynomial.{u1, u3} σ R _inst_1) A _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) _inst_3 (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_4 (AlgHom.{u3, max u3 u1, u2} R (MvPolynomial.{u1, u3} σ R _inst_1) A _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) _inst_3 (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_4) (AlgHom.algHomClass.{u3, max u3 u1, u2} R (MvPolynomial.{u1, u3} σ R _inst_1) A _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) _inst_3 (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_4))))) f (MvPolynomial.X.{u3, u1} R σ _inst_1 i)) (FunLike.coe.{max (max (succ u3) (succ u1)) (succ u2), max (succ u3) (succ u1), succ u2} (AlgHom.{u3, max u3 u1, u2} R (MvPolynomial.{u1, u3} σ R _inst_1) A _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) _inst_3 (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_4) (MvPolynomial.{u1, u3} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u3} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : MvPolynomial.{u1, u3} σ R _inst_1) => A) _x) (SMulHomClass.toFunLike.{max (max u3 u1) u2, u3, max u3 u1, u2} (AlgHom.{u3, max u3 u1, u2} R (MvPolynomial.{u1, u3} σ R _inst_1) A _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) _inst_3 (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_4) R (MvPolynomial.{u1, u3} σ R _inst_1) A (SMulZeroClass.toSMul.{u3, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) (AddMonoid.toZero.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))))) (DistribSMul.toSMulZeroClass.{u3, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))))) (DistribMulAction.toDistribSMul.{u3, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))))) (Module.toDistribMulAction.{u3, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Algebra.toModule.{u3, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1))))))) (SMulZeroClass.toSMul.{u3, u2} R A (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))))) (DistribSMul.toSMulZeroClass.{u3, u2} R A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))))) (DistribMulAction.toDistribSMul.{u3, u2} R A (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)))) (Module.toDistribMulAction.{u3, u2} R A (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (Algebra.toModule.{u3, u2} R A _inst_1 _inst_3 _inst_4))))) (DistribMulActionHomClass.toSMulHomClass.{max (max u3 u1) u2, u3, max u3 u1, u2} (AlgHom.{u3, max u3 u1, u2} R (MvPolynomial.{u1, u3} σ R _inst_1) A _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) _inst_3 (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_4) R (MvPolynomial.{u1, u3} σ R _inst_1) A (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))))) (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)))) (Module.toDistribMulAction.{u3, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Algebra.toModule.{u3, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)))) (Module.toDistribMulAction.{u3, u2} R A (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (Algebra.toModule.{u3, u2} R A _inst_1 _inst_3 _inst_4)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max (max u3 u1) u2, u3, max u3 u1, u2} (AlgHom.{u3, max u3 u1, u2} R (MvPolynomial.{u1, u3} σ R _inst_1) A _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) _inst_3 (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_4) R (MvPolynomial.{u1, u3} σ R _inst_1) A (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (Module.toDistribMulAction.{u3, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Algebra.toModule.{u3, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)))) (Module.toDistribMulAction.{u3, u2} R A (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (Algebra.toModule.{u3, u2} R A _inst_1 _inst_3 _inst_4)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u3, max u3 u1, u2, max (max u3 u1) u2} R (MvPolynomial.{u1, u3} σ R _inst_1) A _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) _inst_3 (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_4 (AlgHom.{u3, max u3 u1, u2} R (MvPolynomial.{u1, u3} σ R _inst_1) A _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) _inst_3 (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_4) (AlgHom.algHomClass.{u3, max u3 u1, u2} R (MvPolynomial.{u1, u3} σ R _inst_1) A _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) _inst_3 (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_4))))) g (MvPolynomial.X.{u3, u1} R σ _inst_1 i))) -> (Eq.{max (max (succ u3) (succ u1)) (succ u2)} (AlgHom.{u3, max u3 u1, u2} R (MvPolynomial.{u1, u3} σ R _inst_1) A _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) _inst_3 (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_4) f g)
+<too large>
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.alg_hom_ext MvPolynomial.algHom_extₓ'. -/
 @[ext]
 theorem algHom_ext {A : Type _} [Semiring A] [Algebra R A] {f g : MvPolynomial σ R →ₐ[R] A}
@@ -810,10 +720,7 @@ theorem algHom_ext {A : Type _} [Semiring A] [Algebra R A] {f g : MvPolynomial 
 #align mv_polynomial.alg_hom_ext MvPolynomial.algHom_ext
 
 /- warning: mv_polynomial.alg_hom_C -> MvPolynomial.algHom_C is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] (f : AlgHom.{u1, max u2 u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1))) (r : R), Eq.{max (succ u2) (succ u1)} (MvPolynomial.{u2, u1} σ R _inst_1) (coeFn.{succ (max u2 u1), succ (max u2 u1)} (AlgHom.{u1, max u2 u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1))) (fun (_x : AlgHom.{u1, max u2 u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1))) => (MvPolynomial.{u2, u1} σ R _inst_1) -> (MvPolynomial.{u2, u1} σ R _inst_1)) ([anonymous].{u1, max u2 u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1))) f (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (fun (_x : RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (MvPolynomial.C.{u1, u2} R σ _inst_1) r)) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (fun (_x : RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (MvPolynomial.C.{u1, u2} R σ _inst_1) r)
-but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] (f : AlgHom.{u2, max u2 u1, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) (r : R), Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u2} σ R _inst_1) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (a : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) r)) (FunLike.coe.{max (succ u2) (succ u1), max (succ u2) (succ u1), max (succ u2) (succ u1)} (AlgHom.{u2, max u2 u1, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (SMulHomClass.toFunLike.{max u2 u1, u2, max u2 u1, max u2 u1} (AlgHom.{u2, max u2 u1, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (SMulZeroClass.toSMul.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (AddMonoid.toZero.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (DistribSMul.toSMulZeroClass.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (DistribMulAction.toDistribSMul.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (Module.toDistribMulAction.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))))))) (SMulZeroClass.toSMul.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (AddMonoid.toZero.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (DistribSMul.toSMulZeroClass.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (DistribMulAction.toDistribSMul.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (Module.toDistribMulAction.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))))))) (DistribMulActionHomClass.toSMulHomClass.{max u2 u1, u2, max u2 u1, max u2 u1} (AlgHom.{u2, max u2 u1, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (AddCommMonoid.toAddMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (Module.toDistribMulAction.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (Module.toDistribMulAction.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max u2 u1, u2, max u2 u1, max u2 u1} (AlgHom.{u2, max u2 u1, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (Module.toDistribMulAction.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (Module.toDistribMulAction.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u2, max u2 u1, max u2 u1, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (AlgHom.{u2, max u2 u1, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) (AlgHom.algHomClass.{u2, max u2 u1, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))))))) f (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) r)) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) r)
+<too large>
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.alg_hom_C MvPolynomial.algHom_Cₓ'. -/
 @[simp]
 theorem algHom_C (f : MvPolynomial σ R →ₐ[R] MvPolynomial σ R) (r : R) : f (C r) = C r :=
@@ -838,10 +745,7 @@ theorem adjoin_range_X : Algebra.adjoin R (range (X : σ → MvPolynomial σ R))
 #align mv_polynomial.adjoin_range_X MvPolynomial.adjoin_range_X
 
 /- warning: mv_polynomial.linear_map_ext -> MvPolynomial.linearMap_ext is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {M : Type.{u3}} [_inst_3 : AddCommMonoid.{u3} M] [_inst_4 : Module.{u1, u3} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_3] {f : LinearMap.{u1, u1, max u2 u1, u3} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.{u2, u1} σ R _inst_1) M (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) _inst_3 (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) _inst_4} {g : LinearMap.{u1, u1, max u2 u1, u3} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.{u2, u1} σ R _inst_1) M (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) _inst_3 (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) _inst_4}, (forall (s : Finsupp.{u2, 0} σ Nat Nat.hasZero), Eq.{max (succ u1) (succ u3)} (LinearMap.{u1, u1, u1, u3} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R M (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) _inst_3 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) _inst_4) (LinearMap.comp.{u1, u1, u1, u1, max u2 u1, u3} R R R R (MvPolynomial.{u2, u1} σ R _inst_1) M (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) _inst_3 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) _inst_4 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHomCompTriple.ids.{u1, u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) f (MvPolynomial.monomial.{u1, u2} R σ _inst_1 s)) (LinearMap.comp.{u1, u1, u1, u1, max u2 u1, u3} R R R R (MvPolynomial.{u2, u1} σ R _inst_1) M (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) _inst_3 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) _inst_4 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHomCompTriple.ids.{u1, u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) g (MvPolynomial.monomial.{u1, u2} R σ _inst_1 s))) -> (Eq.{max (succ (max u2 u1)) (succ u3)} (LinearMap.{u1, u1, max u2 u1, u3} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.{u2, u1} σ R _inst_1) M (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) _inst_3 (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) _inst_4) f g)
-but is expected to have type
-  forall {R : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u3} R] {M : Type.{u2}} [_inst_3 : AddCommMonoid.{u2} M] [_inst_4 : Module.{u3, u2} R M (CommSemiring.toSemiring.{u3} R _inst_1) _inst_3] {f : LinearMap.{u3, u3, max u3 u1, u2} R R (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (MvPolynomial.{u1, u3} σ R _inst_1) M (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) _inst_3 (MvPolynomial.module.{u3, u3, u1} R R σ (CommSemiring.toSemiring.{u3} R _inst_1) _inst_1 (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) _inst_4} {g : LinearMap.{u3, u3, max u3 u1, u2} R R (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (MvPolynomial.{u1, u3} σ R _inst_1) M (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) _inst_3 (MvPolynomial.module.{u3, u3, u1} R R σ (CommSemiring.toSemiring.{u3} R _inst_1) _inst_1 (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) _inst_4}, (forall (s : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)), Eq.{max (succ u3) (succ u2)} (LinearMap.{u3, u3, u3, u2} R R (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) R M (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) _inst_3 (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) _inst_4) (LinearMap.comp.{u3, u3, u3, u3, max u3 u1, u2} R R R R (MvPolynomial.{u1, u3} σ R _inst_1) M (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) _inst_3 (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (MvPolynomial.module.{u3, u3, u1} R R σ (CommSemiring.toSemiring.{u3} R _inst_1) _inst_1 (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) _inst_4 (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (RingHomCompTriple.ids.{u3, u3} R R (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) f (MvPolynomial.monomial.{u3, u1} R σ _inst_1 s)) (LinearMap.comp.{u3, u3, u3, u3, max u3 u1, u2} R R R R (MvPolynomial.{u1, u3} σ R _inst_1) M (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) _inst_3 (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (MvPolynomial.module.{u3, u3, u1} R R σ (CommSemiring.toSemiring.{u3} R _inst_1) _inst_1 (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) _inst_4 (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (RingHomCompTriple.ids.{u3, u3} R R (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) g (MvPolynomial.monomial.{u3, u1} R σ _inst_1 s))) -> (Eq.{max (max (succ u3) (succ u1)) (succ u2)} (LinearMap.{u3, u3, max u3 u1, u2} R R (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (MvPolynomial.{u1, u3} σ R _inst_1) M (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) _inst_3 (MvPolynomial.module.{u3, u3, u1} R R σ (CommSemiring.toSemiring.{u3} R _inst_1) _inst_1 (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) _inst_4) f g)
+<too large>
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.linear_map_ext MvPolynomial.linearMap_extₓ'. -/
 @[ext]
 theorem linearMap_ext {M : Type _} [AddCommMonoid M] [Module R M] {f g : MvPolynomial σ R →ₗ[R] M}
@@ -1337,10 +1241,7 @@ theorem support_symmDiff_support_subset_support_add [DecidableEq σ] (p q : MvPo
 #align mv_polynomial.support_symm_diff_support_subset_support_add MvPolynomial.support_symmDiff_support_subset_support_add
 
 /- warning: mv_polynomial.coeff_mul_monomial' -> MvPolynomial.coeff_mul_monomial' is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] (m : Finsupp.{u2, 0} σ Nat Nat.hasZero) (s : Finsupp.{u2, 0} σ Nat Nat.hasZero) (r : R) (p : MvPolynomial.{u2, u1} σ R _inst_1), Eq.{succ u1} R (MvPolynomial.coeff.{u1, u2} R σ _inst_1 m (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Distrib.toHasMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))) p (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 s) r))) (ite.{succ u1} R (LE.le.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.hasLe.{u2, 0} σ Nat Nat.hasZero Nat.hasLe) s m) (Finsupp.decidableLE.{u2, 0} σ Nat (CanonicallyOrderedCommSemiring.toCanonicallyOrderedAddMonoid.{0} Nat Nat.canonicallyOrderedCommSemiring) (fun (a : Nat) (b : Nat) => Nat.decidableLe a b) s m) (HMul.hMul.{u1, u1, u1} R R R (instHMul.{u1} R (Distrib.toHasMul.{u1} R (NonUnitalNonAssocSemiring.toDistrib.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))) (MvPolynomial.coeff.{u1, u2} R σ _inst_1 (HSub.hSub.{u2, u2, u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.{u2, 0} σ Nat Nat.hasZero) (instHSub.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.tsub.{u2, 0} σ Nat (CanonicallyOrderedCommSemiring.toCanonicallyOrderedAddMonoid.{0} Nat Nat.canonicallyOrderedCommSemiring) Nat.hasSub Nat.orderedSub)) m s) p) r) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))))))
-but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] (m : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (s : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (r : R) (p : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{succ u2} R (MvPolynomial.coeff.{u2, u1} R σ _inst_1 m (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) r) (MvPolynomial.{u1, u2} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) p (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s) r))) (ite.{succ u2} R (LE.le.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.instLEFinsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) instLENat) s m) (Finsupp.decidableLE.{u1, 0} σ Nat (CanonicallyOrderedCommSemiring.toCanonicallyOrderedAddMonoid.{0} Nat Nat.canonicallyOrderedCommSemiring) (fun (a : Nat) (b : Nat) => Nat.decLe a b) s m) (HMul.hMul.{u2, u2, u2} R R R (instHMul.{u2} R (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) (MvPolynomial.coeff.{u2, u1} R σ _inst_1 (HSub.hSub.{u1, u1, u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (instHSub.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.tsub.{u1, 0} σ Nat (CanonicallyOrderedCommSemiring.toCanonicallyOrderedAddMonoid.{0} Nat Nat.canonicallyOrderedCommSemiring) instSubNat Nat.instOrderedSubNatInstLENatInstAddNatInstSubNat)) m s) p) r) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1)))))
+<too large>
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.coeff_mul_monomial' MvPolynomial.coeff_mul_monomial'ₓ'. -/
 theorem coeff_mul_monomial' (m) (s : σ →₀ ℕ) (r : R) (p : MvPolynomial σ R) :
     coeff m (p * monomial s r) = if s ≤ m then coeff (m - s) p * r else 0 := by
@@ -1366,10 +1267,7 @@ theorem coeff_mul_monomial' (m) (s : σ →₀ ℕ) (r : R) (p : MvPolynomial σ
 #align mv_polynomial.coeff_mul_monomial' MvPolynomial.coeff_mul_monomial'
 
 /- warning: mv_polynomial.coeff_monomial_mul' -> MvPolynomial.coeff_monomial_mul' is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] (m : Finsupp.{u2, 0} σ Nat Nat.hasZero) (s : Finsupp.{u2, 0} σ Nat Nat.hasZero) (r : R) (p : MvPolynomial.{u2, u1} σ R _inst_1), Eq.{succ u1} R (MvPolynomial.coeff.{u1, u2} R σ _inst_1 m (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Distrib.toHasMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 s) r) p)) (ite.{succ u1} R (LE.le.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.hasLe.{u2, 0} σ Nat Nat.hasZero Nat.hasLe) s m) (Finsupp.decidableLE.{u2, 0} σ Nat (CanonicallyOrderedCommSemiring.toCanonicallyOrderedAddMonoid.{0} Nat Nat.canonicallyOrderedCommSemiring) (fun (a : Nat) (b : Nat) => Nat.decidableLe a b) s m) (HMul.hMul.{u1, u1, u1} R R R (instHMul.{u1} R (Distrib.toHasMul.{u1} R (NonUnitalNonAssocSemiring.toDistrib.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))) r (MvPolynomial.coeff.{u1, u2} R σ _inst_1 (HSub.hSub.{u2, u2, u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.{u2, 0} σ Nat Nat.hasZero) (instHSub.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.tsub.{u2, 0} σ Nat (CanonicallyOrderedCommSemiring.toCanonicallyOrderedAddMonoid.{0} Nat Nat.canonicallyOrderedCommSemiring) Nat.hasSub Nat.orderedSub)) m s) p)) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))))))
-but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] (m : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (s : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (r : R) (p : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{succ u2} R (MvPolynomial.coeff.{u2, u1} R σ _inst_1 m (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) r) (MvPolynomial.{u1, u2} σ R _inst_1) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) r) (instHMul.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) r) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) r) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) r) (Semiring.toNonAssocSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) r) (CommSemiring.toSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) r) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s) r) p)) (ite.{succ u2} R (LE.le.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.instLEFinsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) instLENat) s m) (Finsupp.decidableLE.{u1, 0} σ Nat (CanonicallyOrderedCommSemiring.toCanonicallyOrderedAddMonoid.{0} Nat Nat.canonicallyOrderedCommSemiring) (fun (a : Nat) (b : Nat) => Nat.decLe a b) s m) (HMul.hMul.{u2, u2, u2} R R R (instHMul.{u2} R (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) r (MvPolynomial.coeff.{u2, u1} R σ _inst_1 (HSub.hSub.{u1, u1, u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (instHSub.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.tsub.{u1, 0} σ Nat (CanonicallyOrderedCommSemiring.toCanonicallyOrderedAddMonoid.{0} Nat Nat.canonicallyOrderedCommSemiring) instSubNat Nat.instOrderedSubNatInstLENatInstAddNatInstSubNat)) m s) p)) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1)))))
+<too large>
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.coeff_monomial_mul' MvPolynomial.coeff_monomial_mul'ₓ'. -/
 theorem coeff_monomial_mul' (m) (s : σ →₀ ℕ) (r : R) (p : MvPolynomial σ R) :
     coeff m (monomial s r * p) = if s ≤ m then r * coeff (m - s) p else 0 :=
@@ -1510,10 +1408,7 @@ theorem constantCoeff_eq : (constantCoeff : MvPolynomial σ R → R) = coeff 0 :
 variable (σ)
 
 /- warning: mv_polynomial.constant_coeff_C -> MvPolynomial.constantCoeff_C is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} (σ : Type.{u2}) [_inst_1 : CommSemiring.{u1} R] (r : R), Eq.{succ u1} R (coeFn.{max (succ (max u2 u1)) (succ u1), max (succ (max u2 u1)) (succ u1)} (RingHom.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (fun (_x : RingHom.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) => (MvPolynomial.{u2, u1} σ R _inst_1) -> R) (RingHom.hasCoeToFun.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.constantCoeff.{u1, u2} R σ _inst_1) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (fun (_x : RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (MvPolynomial.C.{u1, u2} R σ _inst_1) r)) r
-but is expected to have type
-  forall {R : Type.{u2}} (σ : Type.{u1}) [_inst_1 : CommSemiring.{u2} R] (r : R), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (a : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) r)) (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), succ u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) _x) (MulHomClass.toFunLike.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (RingHom.instRingHomClassRingHom.{max u1 u2, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))))) (MvPolynomial.constantCoeff.{u2, u1} R σ _inst_1) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) r)) r
+<too large>
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.constant_coeff_C MvPolynomial.constantCoeff_Cₓ'. -/
 @[simp]
 theorem constantCoeff_C (r : R) : constantCoeff (C r : MvPolynomial σ R) = r := by
@@ -1538,10 +1433,7 @@ theorem constantCoeff_X (i : σ) : constantCoeff (X i : MvPolynomial σ R) = 0 :
 variable {R}
 
 /- warning: mv_polynomial.constant_coeff_smul -> MvPolynomial.constantCoeff_smul is a dubious translation:
-lean 3 declaration is
-  forall {S₁ : Type.{u1}} {σ : Type.{u2}} [_inst_2 : CommSemiring.{u1} S₁] {R : Type.{u3}} [_inst_3 : SMulZeroClass.{u3, u1} R S₁ (MulZeroClass.toHasZero.{u1} S₁ (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} S₁ (Semiring.toNonAssocSemiring.{u1} S₁ (CommSemiring.toSemiring.{u1} S₁ _inst_2)))))] (a : R) (f : MvPolynomial.{u2, u1} σ S₁ _inst_2), Eq.{succ u1} S₁ (coeFn.{max (succ (max u2 u1)) (succ u1), max (succ (max u2 u1)) (succ u1)} (RingHom.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u1, u2} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u1} S₁ (CommSemiring.toSemiring.{u1} S₁ _inst_2))) (fun (_x : RingHom.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u1, u2} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u1} S₁ (CommSemiring.toSemiring.{u1} S₁ _inst_2))) => (MvPolynomial.{u2, u1} σ S₁ _inst_2) -> S₁) (RingHom.hasCoeToFun.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u1, u2} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u1} S₁ (CommSemiring.toSemiring.{u1} S₁ _inst_2))) (MvPolynomial.constantCoeff.{u1, u2} S₁ σ _inst_2) (SMul.smul.{u3, max u2 u1} R (MvPolynomial.{u2, u1} σ S₁ _inst_2) (SMulZeroClass.toHasSmul.{u3, max u2 u1} R (MvPolynomial.{u2, u1} σ S₁ _inst_2) (MulZeroClass.toHasZero.{max u2 u1} (MvPolynomial.{u2, u1} σ S₁ _inst_2) (NonUnitalNonAssocSemiring.toMulZeroClass.{max u2 u1} (MvPolynomial.{u2, u1} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u1, u2} S₁ σ _inst_2)))))) (MvPolynomial.smulZeroClass.{u3, u1, u2} R S₁ σ _inst_2 _inst_3)) a f)) (SMul.smul.{u3, u1} R S₁ (SMulZeroClass.toHasSmul.{u3, u1} R S₁ (MulZeroClass.toHasZero.{u1} S₁ (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} S₁ (Semiring.toNonAssocSemiring.{u1} S₁ (CommSemiring.toSemiring.{u1} S₁ _inst_2))))) _inst_3) a (coeFn.{max (succ (max u2 u1)) (succ u1), max (succ (max u2 u1)) (succ u1)} (RingHom.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u1, u2} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u1} S₁ (CommSemiring.toSemiring.{u1} S₁ _inst_2))) (fun (_x : RingHom.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u1, u2} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u1} S₁ (CommSemiring.toSemiring.{u1} S₁ _inst_2))) => (MvPolynomial.{u2, u1} σ S₁ _inst_2) -> S₁) (RingHom.hasCoeToFun.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u1, u2} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u1} S₁ (CommSemiring.toSemiring.{u1} S₁ _inst_2))) (MvPolynomial.constantCoeff.{u1, u2} S₁ σ _inst_2) f))
-but is expected to have type
-  forall {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_2 : CommSemiring.{u3} S₁] {R : Type.{u2}} [_inst_3 : SMulZeroClass.{u2, u3} R S₁ (CommMonoidWithZero.toZero.{u3} S₁ (CommSemiring.toCommMonoidWithZero.{u3} S₁ _inst_2))] (a : R) (f : MvPolynomial.{u1, u3} σ S₁ _inst_2), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u3} σ S₁ _inst_2) => S₁) (HSMul.hSMul.{u2, max u3 u1, max u3 u1} R (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (instHSMul.{u2, max u3 u1} R (MvPolynomial.{u1, u3} σ S₁ _inst_2) (SMulZeroClass.toSMul.{u2, max u3 u1} R (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommMonoidWithZero.toZero.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toCommMonoidWithZero.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (MvPolynomial.smulZeroClass.{u2, u3, u1} R S₁ σ _inst_2 _inst_3))) a f)) (FunLike.coe.{max (succ u1) (succ u3), max (succ u1) (succ u3), succ u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (fun (_x : MvPolynomial.{u1, u3} σ S₁ _inst_2) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u3} σ S₁ _inst_2) => S₁) _x) (MulHomClass.toFunLike.{max u1 u3, max u1 u3, u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (NonUnitalNonAssocSemiring.toMul.{max u1 u3} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u3, max u1 u3, u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u3, max u1 u3, u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{max u1 u3, u3} (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (MvPolynomial.constantCoeff.{u3, u1} S₁ σ _inst_2) (HSMul.hSMul.{u2, max u3 u1, max u3 u1} R (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (instHSMul.{u2, max u3 u1} R (MvPolynomial.{u1, u3} σ S₁ _inst_2) (SMulZeroClass.toSMul.{u2, max u3 u1} R (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommMonoidWithZero.toZero.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toCommMonoidWithZero.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (MvPolynomial.smulZeroClass.{u2, u3, u1} R S₁ σ _inst_2 _inst_3))) a f)) (HSMul.hSMul.{u2, u3, u3} R ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u3} σ S₁ _inst_2) => S₁) f) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u3} σ S₁ _inst_2) => S₁) f) (instHSMul.{u2, u3} R ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u3} σ S₁ _inst_2) => S₁) f) (SMulZeroClass.toSMul.{u2, u3} R ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u3} σ S₁ _inst_2) => S₁) f) (CommMonoidWithZero.toZero.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u3} σ S₁ _inst_2) => S₁) f) (CommSemiring.toCommMonoidWithZero.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u3} σ S₁ _inst_2) => S₁) f) _inst_2)) _inst_3)) a (FunLike.coe.{max (succ u1) (succ u3), max (succ u1) (succ u3), succ u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (fun (_x : MvPolynomial.{u1, u3} σ S₁ _inst_2) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u3} σ S₁ _inst_2) => S₁) _x) (MulHomClass.toFunLike.{max u1 u3, max u1 u3, u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (NonUnitalNonAssocSemiring.toMul.{max u1 u3} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u3, max u1 u3, u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u3, max u1 u3, u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{max u1 u3, u3} (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (MvPolynomial.constantCoeff.{u3, u1} S₁ σ _inst_2) f))
+<too large>
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.constant_coeff_smul MvPolynomial.constantCoeff_smulₓ'. -/
 @[simp]
 theorem constantCoeff_smul {R : Type _} [SMulZeroClass R S₁] (a : R) (f : MvPolynomial σ S₁) :
@@ -1550,10 +1442,7 @@ theorem constantCoeff_smul {R : Type _} [SMulZeroClass R S₁] (a : R) (f : MvPo
 #align mv_polynomial.constant_coeff_smul MvPolynomial.constantCoeff_smul
 
 /- warning: mv_polynomial.constant_coeff_monomial -> MvPolynomial.constantCoeff_monomial is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_3 : DecidableEq.{succ u2} σ] (d : Finsupp.{u2, 0} σ Nat Nat.hasZero) (r : R), Eq.{succ u1} R (coeFn.{max (succ (max u2 u1)) (succ u1), max (succ (max u2 u1)) (succ u1)} (RingHom.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (fun (_x : RingHom.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) => (MvPolynomial.{u2, u1} σ R _inst_1) -> R) (RingHom.hasCoeToFun.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.constantCoeff.{u1, u2} R σ _inst_1) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 d) r)) (ite.{succ u1} R (Eq.{succ u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) d (OfNat.ofNat.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) 0 (OfNat.mk.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) 0 (Zero.zero.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.zero.{u2, 0} σ Nat Nat.hasZero))))) (Finsupp.decidableEq.{u2, 0} σ Nat Nat.hasZero (fun (a : σ) (b : σ) => _inst_3 a b) (fun (a : Nat) (b : Nat) => Nat.decidableEq a b) d (OfNat.ofNat.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) 0 (OfNat.mk.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) 0 (Zero.zero.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.zero.{u2, 0} σ Nat Nat.hasZero))))) r (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))))))
-but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_3 : DecidableEq.{succ u1} σ] (d : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (r : R), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (a : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 d) r)) (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), succ u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) _x) (MulHomClass.toFunLike.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (RingHom.instRingHomClassRingHom.{max u1 u2, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))))) (MvPolynomial.constantCoeff.{u2, u1} R σ _inst_1) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 d) r)) (ite.{succ u2} R (Eq.{succ u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) d (OfNat.ofNat.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) 0 (Zero.toOfNat0.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.zero.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))))) (Finsupp.decidableEq.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) (fun (a : σ) (b : σ) => _inst_3 a b) (fun (a : Nat) (b : Nat) => instDecidableEqNat a b) d (OfNat.ofNat.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) 0 (Zero.toOfNat0.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.zero.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))))) r (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1)))))
+<too large>
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.constant_coeff_monomial MvPolynomial.constantCoeff_monomialₓ'. -/
 theorem constantCoeff_monomial [DecidableEq σ] (d : σ →₀ ℕ) (r : R) :
     constantCoeff (monomial d r) = if d = 0 then r else 0 := by
@@ -1676,10 +1565,7 @@ theorem eval₂_add : (p + q).eval₂ f g = p.eval₂ f g + q.eval₂ f g := by
 #align mv_polynomial.eval₂_add MvPolynomial.eval₂_add
 
 /- warning: mv_polynomial.eval₂_monomial -> MvPolynomial.eval₂_monomial is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {S₁ : Type.{u2}} {σ : Type.{u3}} {a : R} {s : Finsupp.{u3, 0} σ Nat Nat.hasZero} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] (f : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (g : σ -> S₁), Eq.{succ u2} S₁ (MvPolynomial.eval₂.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 f g (coeFn.{max (succ u1) (succ (max u3 u1)), max (succ u1) (succ (max u3 u1))} (LinearMap.{u1, u1, u1, max u3 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u3, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u3 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u3, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u3, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u3 u1} R R R (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u3} R σ _inst_1 s) a)) (HMul.hMul.{u2, u2, u2} S₁ S₁ S₁ (instHMul.{u2} S₁ (Distrib.toHasMul.{u2} S₁ (NonUnitalNonAssocSemiring.toDistrib.{u2} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S₁ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)))))) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (fun (_x : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) => R -> S₁) (RingHom.hasCoeToFun.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) f a) (Finsupp.prod.{u3, 0, u2} σ Nat S₁ Nat.hasZero (CommSemiring.toCommMonoid.{u2} S₁ _inst_2) s (fun (n : σ) (e : Nat) => HPow.hPow.{u2, 0, u2} S₁ Nat S₁ (instHPow.{u2, 0} S₁ Nat (Monoid.Pow.{u2} S₁ (MonoidWithZero.toMonoid.{u2} S₁ (Semiring.toMonoidWithZero.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))))) (g n) e)))
-but is expected to have type
-  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} {a : R} {s : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] (f : RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (g : σ -> S₁), Eq.{succ u3} S₁ (MvPolynomial.eval₂.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f g (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s) a)) (HMul.hMul.{u3, u3, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) S₁ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) (instHMul.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) (NonUnitalNonAssocSemiring.toMul.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) (Semiring.toNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) _inst_2))))) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) _x) (MulHomClass.toFunLike.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) f a) (Finsupp.prod.{u1, 0, u3} σ Nat S₁ (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) (CommSemiring.toCommMonoid.{u3} S₁ _inst_2) s (fun (n : σ) (e : Nat) => HPow.hPow.{u3, 0, u3} S₁ Nat S₁ (instHPow.{u3, 0} S₁ Nat (Monoid.Pow.{u3} S₁ (MonoidWithZero.toMonoid.{u3} S₁ (Semiring.toMonoidWithZero.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))))) (g n) e)))
+<too large>
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval₂_monomial MvPolynomial.eval₂_monomialₓ'. -/
 @[simp]
 theorem eval₂_monomial : (monomial s a).eval₂ f g = f a * s.Prod fun n e => g n ^ e :=
@@ -1720,10 +1606,7 @@ theorem eval₂_X (n) : (X n).eval₂ f g = g n := by
 #align mv_polynomial.eval₂_X MvPolynomial.eval₂_X
 
 /- warning: mv_polynomial.eval₂_mul_monomial -> MvPolynomial.eval₂_mul_monomial is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {S₁ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] {p : MvPolynomial.{u3, u1} σ R _inst_1} (f : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (g : σ -> S₁) {s : Finsupp.{u3, 0} σ Nat Nat.hasZero} {a : R}, Eq.{succ u2} S₁ (MvPolynomial.eval₂.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 f g (HMul.hMul.{max u3 u1, max u3 u1, max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u1} σ R _inst_1) (instHMul.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Distrib.toHasMul.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))))) p (coeFn.{max (succ u1) (succ (max u3 u1)), max (succ u1) (succ (max u3 u1))} (LinearMap.{u1, u1, u1, max u3 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u3, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u3 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u3, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u3, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u3 u1} R R R (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u3} R σ _inst_1 s) a))) (HMul.hMul.{u2, u2, u2} S₁ S₁ S₁ (instHMul.{u2} S₁ (Distrib.toHasMul.{u2} S₁ (NonUnitalNonAssocSemiring.toDistrib.{u2} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S₁ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)))))) (HMul.hMul.{u2, u2, u2} S₁ S₁ S₁ (instHMul.{u2} S₁ (Distrib.toHasMul.{u2} S₁ (NonUnitalNonAssocSemiring.toDistrib.{u2} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S₁ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)))))) (MvPolynomial.eval₂.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 f g p) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (fun (_x : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) => R -> S₁) (RingHom.hasCoeToFun.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) f a)) (Finsupp.prod.{u3, 0, u2} σ Nat S₁ Nat.hasZero (CommSemiring.toCommMonoid.{u2} S₁ _inst_2) s (fun (n : σ) (e : Nat) => HPow.hPow.{u2, 0, u2} S₁ Nat S₁ (instHPow.{u2, 0} S₁ Nat (Monoid.Pow.{u2} S₁ (MonoidWithZero.toMonoid.{u2} S₁ (Semiring.toMonoidWithZero.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))))) (g n) e)))
-but is expected to have type
-  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] {p : MvPolynomial.{u1, u2} σ R _inst_1} (f : RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (g : σ -> S₁) {s : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)} {a : R}, Eq.{succ u3} S₁ (MvPolynomial.eval₂.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f g (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (MvPolynomial.{u1, u2} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) p (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s) a))) (HMul.hMul.{u3, u3, u3} S₁ S₁ S₁ (instHMul.{u3} S₁ (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))))) (HMul.hMul.{u3, u3, u3} S₁ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) S₁ (instHMul.{u3} S₁ (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))))) (MvPolynomial.eval₂.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f g p) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) _x) (MulHomClass.toFunLike.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) f a)) (Finsupp.prod.{u1, 0, u3} σ Nat S₁ (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) (CommSemiring.toCommMonoid.{u3} S₁ _inst_2) s (fun (n : σ) (e : Nat) => HPow.hPow.{u3, 0, u3} S₁ Nat S₁ (instHPow.{u3, 0} S₁ Nat (Monoid.Pow.{u3} S₁ (MonoidWithZero.toMonoid.{u3} S₁ (Semiring.toMonoidWithZero.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))))) (g n) e)))
+<too large>
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval₂_mul_monomial MvPolynomial.eval₂_mul_monomialₓ'. -/
 theorem eval₂_mul_monomial :
     ∀ {s a}, (p * monomial s a).eval₂ f g = p.eval₂ f g * f a * s.Prod fun n e => g n ^ e := by
@@ -1745,10 +1628,7 @@ theorem eval₂_mul_monomial :
 #align mv_polynomial.eval₂_mul_monomial MvPolynomial.eval₂_mul_monomial
 
 /- warning: mv_polynomial.eval₂_mul_C -> MvPolynomial.eval₂_mul_C is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {S₁ : Type.{u2}} {σ : Type.{u3}} {a : R} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] {p : MvPolynomial.{u3, u1} σ R _inst_1} (f : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (g : σ -> S₁), Eq.{succ u2} S₁ (MvPolynomial.eval₂.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 f g (HMul.hMul.{max u3 u1, max u3 u1, max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u1} σ R _inst_1) (instHMul.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Distrib.toHasMul.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))))) p (coeFn.{max (succ u1) (succ (max u3 u1)), max (succ u1) (succ (max u3 u1))} (RingHom.{u1, max u3 u1} R (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)))) (fun (_x : RingHom.{u1, max u3 u1} R (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)))) => R -> (MvPolynomial.{u3, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{u1, max u3 u1} R (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)))) (MvPolynomial.C.{u1, u3} R σ _inst_1) a))) (HMul.hMul.{u2, u2, u2} S₁ S₁ S₁ (instHMul.{u2} S₁ (Distrib.toHasMul.{u2} S₁ (NonUnitalNonAssocSemiring.toDistrib.{u2} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S₁ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)))))) (MvPolynomial.eval₂.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 f g p) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (fun (_x : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) => R -> S₁) (RingHom.hasCoeToFun.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) f a))
-but is expected to have type
-  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} {a : R} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] {p : MvPolynomial.{u1, u2} σ R _inst_1} (f : RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (g : σ -> S₁), Eq.{succ u3} S₁ (MvPolynomial.eval₂.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f g (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (MvPolynomial.{u1, u2} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) p (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) a))) (HMul.hMul.{u3, u3, u3} S₁ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) S₁ (instHMul.{u3} S₁ (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))))) (MvPolynomial.eval₂.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f g p) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) _x) (MulHomClass.toFunLike.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) f a))
+<too large>
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval₂_mul_C MvPolynomial.eval₂_mul_Cₓ'. -/
 theorem eval₂_mul_C : (p * C a).eval₂ f g = p.eval₂ f g * f a :=
   (eval₂_mul_monomial _ _).trans <| by simp
@@ -1807,10 +1687,7 @@ theorem coe_eval₂Hom (f : R →+* S₁) (g : σ → S₁) : ⇑(eval₂Hom f g
 #align mv_polynomial.coe_eval₂_hom MvPolynomial.coe_eval₂Hom
 
 /- warning: mv_polynomial.eval₂_hom_congr -> MvPolynomial.eval₂Hom_congr is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {S₁ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] {f₁ : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))} {f₂ : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))} {g₁ : σ -> S₁} {g₂ : σ -> S₁} {p₁ : MvPolynomial.{u3, u1} σ R _inst_1} {p₂ : MvPolynomial.{u3, u1} σ R _inst_1}, (Eq.{max (succ u1) (succ u2)} (RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) f₁ f₂) -> (Eq.{max (succ u3) (succ u2)} (σ -> S₁) g₁ g₂) -> (Eq.{max (succ u3) (succ u1)} (MvPolynomial.{u3, u1} σ R _inst_1) p₁ p₂) -> (Eq.{succ u2} S₁ (coeFn.{max (succ (max u3 u1)) (succ u2), max (succ (max u3 u1)) (succ u2)} (RingHom.{max u3 u1, u2} (MvPolynomial.{u3, u1} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (fun (_x : RingHom.{max u3 u1, u2} (MvPolynomial.{u3, u1} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) => (MvPolynomial.{u3, u1} σ R _inst_1) -> S₁) (RingHom.hasCoeToFun.{max u3 u1, u2} (MvPolynomial.{u3, u1} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (MvPolynomial.eval₂Hom.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 f₁ g₁) p₁) (coeFn.{max (succ (max u3 u1)) (succ u2), max (succ (max u3 u1)) (succ u2)} (RingHom.{max u3 u1, u2} (MvPolynomial.{u3, u1} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (fun (_x : RingHom.{max u3 u1, u2} (MvPolynomial.{u3, u1} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) => (MvPolynomial.{u3, u1} σ R _inst_1) -> S₁) (RingHom.hasCoeToFun.{max u3 u1, u2} (MvPolynomial.{u3, u1} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (MvPolynomial.eval₂Hom.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 f₂ g₂) p₂))
-but is expected to have type
-  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] {f₁ : RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))} {f₂ : RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))} {g₁ : σ -> S₁} {g₂ : σ -> S₁} {p₁ : MvPolynomial.{u1, u2} σ R _inst_1} {p₂ : MvPolynomial.{u1, u2} σ R _inst_1}, (Eq.{max (succ u2) (succ u3)} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) f₁ f₂) -> (Eq.{max (succ u3) (succ u1)} (σ -> S₁) g₁ g₂) -> (Eq.{max (succ u2) (succ u1)} (MvPolynomial.{u1, u2} σ R _inst_1) p₁ p₂) -> (Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => S₁) p₁) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u2) (succ u1), succ u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => S₁) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (MvPolynomial.eval₂Hom.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f₁ g₁) p₁) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u2) (succ u1), succ u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => S₁) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (MvPolynomial.eval₂Hom.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f₂ g₂) p₂))
+<too large>
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval₂_hom_congr MvPolynomial.eval₂Hom_congrₓ'. -/
 theorem eval₂Hom_congr {f₁ f₂ : R →+* S₁} {g₁ g₂ : σ → S₁} {p₁ p₂ : MvPolynomial σ R} :
     f₁ = f₂ → g₁ = g₂ → p₁ = p₂ → eval₂Hom f₁ g₁ p₁ = eval₂Hom f₂ g₂ p₂ := by
@@ -1820,10 +1697,7 @@ theorem eval₂Hom_congr {f₁ f₂ : R →+* S₁} {g₁ g₂ : σ → S₁} {p
 end
 
 /- warning: mv_polynomial.eval₂_hom_C -> MvPolynomial.eval₂Hom_C is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {S₁ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] (f : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (g : σ -> S₁) (r : R), Eq.{succ u2} S₁ (coeFn.{max (succ (max u3 u1)) (succ u2), max (succ (max u3 u1)) (succ u2)} (RingHom.{max u3 u1, u2} (MvPolynomial.{u3, u1} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (fun (_x : RingHom.{max u3 u1, u2} (MvPolynomial.{u3, u1} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) => (MvPolynomial.{u3, u1} σ R _inst_1) -> S₁) (RingHom.hasCoeToFun.{max u3 u1, u2} (MvPolynomial.{u3, u1} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (MvPolynomial.eval₂Hom.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 f g) (coeFn.{max (succ u1) (succ (max u3 u1)), max (succ u1) (succ (max u3 u1))} (RingHom.{u1, max u3 u1} R (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)))) (fun (_x : RingHom.{u1, max u3 u1} R (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)))) => R -> (MvPolynomial.{u3, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{u1, max u3 u1} R (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)))) (MvPolynomial.C.{u1, u3} R σ _inst_1) r)) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (fun (_x : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) => R -> S₁) (RingHom.hasCoeToFun.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) f r)
-but is expected to have type
-  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] (f : RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (g : σ -> S₁) (r : R), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => S₁) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (a : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) r)) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u2) (succ u1), succ u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => S₁) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (MvPolynomial.eval₂Hom.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f g) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) r)) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) _x) (MulHomClass.toFunLike.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) f r)
+<too large>
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval₂_hom_C MvPolynomial.eval₂Hom_Cₓ'. -/
 @[simp]
 theorem eval₂Hom_C (f : R →+* S₁) (g : σ → S₁) (r : R) : eval₂Hom f g (C r) = f r :=
@@ -1859,10 +1733,7 @@ theorem comp_eval₂Hom [CommSemiring S₂] (f : R →+* S₁) (g : σ → S₁)
 #align mv_polynomial.comp_eval₂_hom MvPolynomial.comp_eval₂Hom
 
 /- warning: mv_polynomial.map_eval₂_hom -> MvPolynomial.map_eval₂Hom is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {S₁ : Type.{u2}} {S₂ : Type.{u3}} {σ : Type.{u4}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] [_inst_3 : CommSemiring.{u3} S₂] (f : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (g : σ -> S₁) (φ : RingHom.{u2, u3} S₁ S₂ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_3))) (p : MvPolynomial.{u4, u1} σ R _inst_1), Eq.{succ u3} S₂ (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (RingHom.{u2, u3} S₁ S₂ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_3))) (fun (_x : RingHom.{u2, u3} S₁ S₂ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_3))) => S₁ -> S₂) (RingHom.hasCoeToFun.{u2, u3} S₁ S₂ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_3))) φ (coeFn.{max (succ (max u4 u1)) (succ u2), max (succ (max u4 u1)) (succ u2)} (RingHom.{max u4 u1, u2} (MvPolynomial.{u4, u1} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u4, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u4, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u4} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (fun (_x : RingHom.{max u4 u1, u2} (MvPolynomial.{u4, u1} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u4, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u4, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u4} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) => (MvPolynomial.{u4, u1} σ R _inst_1) -> S₁) (RingHom.hasCoeToFun.{max u4 u1, u2} (MvPolynomial.{u4, u1} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u4, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u4, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u4} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (MvPolynomial.eval₂Hom.{u1, u2, u4} R S₁ σ _inst_1 _inst_2 f g) p)) (coeFn.{max (succ (max u4 u1)) (succ u3), max (succ (max u4 u1)) (succ u3)} (RingHom.{max u4 u1, u3} (MvPolynomial.{u4, u1} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u4, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u4, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u4} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_3))) (fun (_x : RingHom.{max u4 u1, u3} (MvPolynomial.{u4, u1} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u4, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u4, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u4} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_3))) => (MvPolynomial.{u4, u1} σ R _inst_1) -> S₂) (RingHom.hasCoeToFun.{max u4 u1, u3} (MvPolynomial.{u4, u1} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u4, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u4, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u4} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_3))) (MvPolynomial.eval₂Hom.{u1, u3, u4} R S₂ σ _inst_1 _inst_3 (RingHom.comp.{u1, u2, u3} R S₁ S₂ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_3)) φ f) (fun (i : σ) => coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (RingHom.{u2, u3} S₁ S₂ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_3))) (fun (_x : RingHom.{u2, u3} S₁ S₂ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_3))) => S₁ -> S₂) (RingHom.hasCoeToFun.{u2, u3} S₁ S₂ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_3))) φ (g i))) p)
-but is expected to have type
-  forall {R : Type.{u2}} {S₁ : Type.{u3}} {S₂ : Type.{u4}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] [_inst_3 : CommSemiring.{u4} S₂] (f : RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (g : σ -> S₁) (φ : RingHom.{u3, u4} S₁ S₂ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))) (p : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : S₁) => S₂) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u2) (succ u1), succ u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (a : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => S₁) a) (MulHomClass.toFunLike.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (MvPolynomial.eval₂Hom.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f g) p)) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (RingHom.{u3, u4} S₁ S₂ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))) S₁ (fun (_x : S₁) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : S₁) => S₂) _x) (MulHomClass.toFunLike.{max u3 u4, u3, u4} (RingHom.{u3, u4} S₁ S₂ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))) S₁ S₂ (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalNonAssocSemiring.toMul.{u4} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₂ (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3)))) (NonUnitalRingHomClass.toMulHomClass.{max u3 u4, u3, u4} (RingHom.{u3, u4} S₁ S₂ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))) S₁ S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₂ (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))) (RingHomClass.toNonUnitalRingHomClass.{max u3 u4, u3, u4} (RingHom.{u3, u4} S₁ S₂ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))) S₁ S₂ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3)) (RingHom.instRingHomClassRingHom.{u3, u4} S₁ S₂ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3)))))) φ (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u2) (succ u1), succ u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => S₁) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (MvPolynomial.eval₂Hom.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f g) p)) (FunLike.coe.{max (max (succ u2) (succ u4)) (succ u1), max (succ u2) (succ u1), succ u4} (RingHom.{max u2 u1, u4} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => S₂) _x) (MulHomClass.toFunLike.{max (max u2 u4) u1, max u2 u1, u4} (RingHom.{max u2 u1, u4} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))) (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u4} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₂ (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3)))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u4) u1, max u2 u1, u4} (RingHom.{max u2 u1, u4} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))) (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₂ (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u4) u1, max u2 u1, u4} (RingHom.{max u2 u1, u4} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))) (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3)) (RingHom.instRingHomClassRingHom.{max u2 u1, u4} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3)))))) (MvPolynomial.eval₂Hom.{u2, u4, u1} R S₂ σ _inst_1 _inst_3 (RingHom.comp.{u2, u3, u4} R S₁ S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3)) φ f) (fun (i : σ) => FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (RingHom.{u3, u4} S₁ S₂ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))) S₁ (fun (_x : S₁) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : S₁) => S₂) _x) (MulHomClass.toFunLike.{max u3 u4, u3, u4} (RingHom.{u3, u4} S₁ S₂ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))) S₁ S₂ (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalNonAssocSemiring.toMul.{u4} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₂ (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3)))) (NonUnitalRingHomClass.toMulHomClass.{max u3 u4, u3, u4} (RingHom.{u3, u4} S₁ S₂ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))) S₁ S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₂ (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))) (RingHomClass.toNonUnitalRingHomClass.{max u3 u4, u3, u4} (RingHom.{u3, u4} S₁ S₂ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))) S₁ S₂ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3)) (RingHom.instRingHomClassRingHom.{u3, u4} S₁ S₂ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3)))))) φ (g i))) p)
+<too large>
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.map_eval₂_hom MvPolynomial.map_eval₂Homₓ'. -/
 theorem map_eval₂Hom [CommSemiring S₂] (f : R →+* S₁) (g : σ → S₁) (φ : S₁ →+* S₂)
     (p : MvPolynomial σ R) : φ (eval₂Hom f g p) = eval₂Hom (φ.comp f) (fun i => φ (g i)) p :=
@@ -1872,10 +1743,7 @@ theorem map_eval₂Hom [CommSemiring S₂] (f : R →+* S₁) (g : σ → S₁)
 #align mv_polynomial.map_eval₂_hom MvPolynomial.map_eval₂Hom
 
 /- warning: mv_polynomial.eval₂_hom_monomial -> MvPolynomial.eval₂Hom_monomial is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {S₁ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] (f : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (g : σ -> S₁) (d : Finsupp.{u3, 0} σ Nat Nat.hasZero) (r : R), Eq.{succ u2} S₁ (coeFn.{max (succ (max u3 u1)) (succ u2), max (succ (max u3 u1)) (succ u2)} (RingHom.{max u3 u1, u2} (MvPolynomial.{u3, u1} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (fun (_x : RingHom.{max u3 u1, u2} (MvPolynomial.{u3, u1} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) => (MvPolynomial.{u3, u1} σ R _inst_1) -> S₁) (RingHom.hasCoeToFun.{max u3 u1, u2} (MvPolynomial.{u3, u1} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (MvPolynomial.eval₂Hom.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 f g) (coeFn.{max (succ u1) (succ (max u3 u1)), max (succ u1) (succ (max u3 u1))} (LinearMap.{u1, u1, u1, max u3 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u3, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u3 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u3, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u3, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u3 u1} R R R (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u3} R σ _inst_1 d) r)) (HMul.hMul.{u2, u2, u2} S₁ S₁ S₁ (instHMul.{u2} S₁ (Distrib.toHasMul.{u2} S₁ (NonUnitalNonAssocSemiring.toDistrib.{u2} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S₁ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)))))) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (fun (_x : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) => R -> S₁) (RingHom.hasCoeToFun.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) f r) (Finsupp.prod.{u3, 0, u2} σ Nat S₁ Nat.hasZero (CommSemiring.toCommMonoid.{u2} S₁ _inst_2) d (fun (i : σ) (k : Nat) => HPow.hPow.{u2, 0, u2} S₁ Nat S₁ (instHPow.{u2, 0} S₁ Nat (Monoid.Pow.{u2} S₁ (MonoidWithZero.toMonoid.{u2} S₁ (Semiring.toMonoidWithZero.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))))) (g i) k)))
-but is expected to have type
-  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] (f : RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (g : σ -> S₁) (d : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (r : R), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => S₁) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (a : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 d) r)) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u2) (succ u1), succ u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => S₁) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (MvPolynomial.eval₂Hom.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f g) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 d) r)) (HMul.hMul.{u3, u3, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) S₁ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) (instHMul.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) (NonUnitalNonAssocSemiring.toMul.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) (Semiring.toNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) _inst_2))))) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) _x) (MulHomClass.toFunLike.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) f r) (Finsupp.prod.{u1, 0, u3} σ Nat S₁ (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) (CommSemiring.toCommMonoid.{u3} S₁ _inst_2) d (fun (i : σ) (k : Nat) => HPow.hPow.{u3, 0, u3} S₁ Nat S₁ (instHPow.{u3, 0} S₁ Nat (Monoid.Pow.{u3} S₁ (MonoidWithZero.toMonoid.{u3} S₁ (Semiring.toMonoidWithZero.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))))) (g i) k)))
+<too large>
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval₂_hom_monomial MvPolynomial.eval₂Hom_monomialₓ'. -/
 theorem eval₂Hom_monomial (f : R →+* S₁) (g : σ → S₁) (d : σ →₀ ℕ) (r : R) :
     eval₂Hom f g (monomial d r) = f r * d.Prod fun i k => g i ^ k := by
@@ -1886,10 +1754,7 @@ theorem eval₂Hom_monomial (f : R →+* S₁) (g : σ → S₁) (d : σ →₀
 section
 
 /- warning: mv_polynomial.eval₂_comp_left -> MvPolynomial.eval₂_comp_left is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {S₁ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] {S₂ : Type.{u4}} [_inst_3 : CommSemiring.{u4} S₂] (k : RingHom.{u2, u4} S₁ S₂ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))) (f : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (g : σ -> S₁) (p : MvPolynomial.{u3, u1} σ R _inst_1), Eq.{succ u4} S₂ (coeFn.{max (succ u2) (succ u4), max (succ u2) (succ u4)} (RingHom.{u2, u4} S₁ S₂ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))) (fun (_x : RingHom.{u2, u4} S₁ S₂ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))) => S₁ -> S₂) (RingHom.hasCoeToFun.{u2, u4} S₁ S₂ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))) k (MvPolynomial.eval₂.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 f g p)) (MvPolynomial.eval₂.{u1, u4, u3} R S₂ σ _inst_1 _inst_3 (RingHom.comp.{u1, u2, u4} R S₁ S₂ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3)) k f) (Function.comp.{succ u3, succ u2, succ u4} σ S₁ S₂ (coeFn.{max (succ u2) (succ u4), max (succ u2) (succ u4)} (RingHom.{u2, u4} S₁ S₂ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))) (fun (_x : RingHom.{u2, u4} S₁ S₂ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))) => S₁ -> S₂) (RingHom.hasCoeToFun.{u2, u4} S₁ S₂ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))) k) g) p)
-but is expected to have type
-  forall {R : Type.{u3}} {S₁ : Type.{u4}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u3} R] [_inst_2 : CommSemiring.{u4} S₁] {S₂ : Type.{u2}} [_inst_3 : CommSemiring.{u2} S₂] (k : RingHom.{u4, u2} S₁ S₂ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_3))) (f : RingHom.{u3, u4} R S₁ (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2))) (g : σ -> S₁) (p : MvPolynomial.{u1, u3} σ R _inst_1), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : S₁) => S₂) (MvPolynomial.eval₂.{u3, u4, u1} R S₁ σ _inst_1 _inst_2 f g p)) (FunLike.coe.{max (succ u4) (succ u2), succ u4, succ u2} (RingHom.{u4, u2} S₁ S₂ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_3))) S₁ (fun (_x : S₁) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : S₁) => S₂) _x) (MulHomClass.toFunLike.{max u4 u2, u4, u2} (RingHom.{u4, u2} S₁ S₂ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_3))) S₁ S₂ (NonUnitalNonAssocSemiring.toMul.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))) (NonUnitalNonAssocSemiring.toMul.{u2} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S₂ (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_3)))) (NonUnitalRingHomClass.toMulHomClass.{max u4 u2, u4, u2} (RingHom.{u4, u2} S₁ S₂ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_3))) S₁ S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S₂ (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_3))) (RingHomClass.toNonUnitalRingHomClass.{max u4 u2, u4, u2} (RingHom.{u4, u2} S₁ S₂ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_3))) S₁ S₂ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_3)) (RingHom.instRingHomClassRingHom.{u4, u2} S₁ S₂ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_3)))))) k (MvPolynomial.eval₂.{u3, u4, u1} R S₁ σ _inst_1 _inst_2 f g p)) (MvPolynomial.eval₂.{u3, u2, u1} R S₂ σ _inst_1 _inst_3 (RingHom.comp.{u3, u4, u2} R S₁ S₂ (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_3)) k f) (Function.comp.{succ u1, succ u4, succ u2} σ S₁ S₂ (FunLike.coe.{max (succ u4) (succ u2), succ u4, succ u2} (RingHom.{u4, u2} S₁ S₂ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_3))) S₁ (fun (_x : S₁) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : S₁) => S₂) _x) (MulHomClass.toFunLike.{max u4 u2, u4, u2} (RingHom.{u4, u2} S₁ S₂ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_3))) S₁ S₂ (NonUnitalNonAssocSemiring.toMul.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))) (NonUnitalNonAssocSemiring.toMul.{u2} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S₂ (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_3)))) (NonUnitalRingHomClass.toMulHomClass.{max u4 u2, u4, u2} (RingHom.{u4, u2} S₁ S₂ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_3))) S₁ S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S₂ (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_3))) (RingHomClass.toNonUnitalRingHomClass.{max u4 u2, u4, u2} (RingHom.{u4, u2} S₁ S₂ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_3))) S₁ S₂ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_3)) (RingHom.instRingHomClassRingHom.{u4, u2} S₁ S₂ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_3)))))) k) g) p)
+<too large>
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval₂_comp_left MvPolynomial.eval₂_comp_leftₓ'. -/
 theorem eval₂_comp_left {S₂} [CommSemiring S₂] (k : S₁ →+* S₂) (f : R →+* S₁) (g : σ → S₁) (p) :
     k (eval₂ f g p) = eval₂ (k.comp f) (k ∘ g) p := by
@@ -2003,20 +1868,14 @@ theorem eval_eq' [Fintype σ] (x : σ → R) (f : MvPolynomial σ R) :
 #align mv_polynomial.eval_eq' MvPolynomial.eval_eq'
 
 /- warning: mv_polynomial.eval_monomial -> MvPolynomial.eval_monomial is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {σ : Type.{u2}} {a : R} {s : Finsupp.{u2, 0} σ Nat Nat.hasZero} [_inst_1 : CommSemiring.{u1} R] {f : σ -> R}, Eq.{succ u1} R (coeFn.{max (succ (max u2 u1)) (succ u1), max (succ (max u2 u1)) (succ u1)} (RingHom.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (fun (_x : RingHom.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) => (MvPolynomial.{u2, u1} σ R _inst_1) -> R) (RingHom.hasCoeToFun.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.eval.{u1, u2} R σ _inst_1 f) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 s) a)) (HMul.hMul.{u1, u1, u1} R R R (instHMul.{u1} R (Distrib.toHasMul.{u1} R (NonUnitalNonAssocSemiring.toDistrib.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))) a (Finsupp.prod.{u2, 0, u1} σ Nat R Nat.hasZero (CommSemiring.toCommMonoid.{u1} R _inst_1) s (fun (n : σ) (e : Nat) => HPow.hPow.{u1, 0, u1} R Nat R (instHPow.{u1, 0} R Nat (Monoid.Pow.{u1} R (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (f n) e)))
-but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} {a : R} {s : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)} [_inst_1 : CommSemiring.{u2} R] {f : σ -> R}, Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (a : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s) a)) (FunLike.coe.{max (succ u2) (succ u1), max (succ u2) (succ u1), succ u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) _x) (MulHomClass.toFunLike.{max u2 u1, max u2 u1, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, max u2 u1, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, max u2 u1, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (RingHom.instRingHomClassRingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))))) (MvPolynomial.eval.{u2, u1} R σ _inst_1 f) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s) a)) (HMul.hMul.{u2, u2, u2} R R R (instHMul.{u2} R (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) a (Finsupp.prod.{u1, 0, u2} σ Nat R (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) (CommSemiring.toCommMonoid.{u2} R _inst_1) s (fun (n : σ) (e : Nat) => HPow.hPow.{u2, 0, u2} R Nat R (instHPow.{u2, 0} R Nat (Monoid.Pow.{u2} R (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) (f n) e)))
+<too large>
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval_monomial MvPolynomial.eval_monomialₓ'. -/
 theorem eval_monomial : eval f (monomial s a) = a * s.Prod fun n e => f n ^ e :=
   eval₂_monomial _ _
 #align mv_polynomial.eval_monomial MvPolynomial.eval_monomial
 
 /- warning: mv_polynomial.eval_C -> MvPolynomial.eval_C is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {f : σ -> R} (a : R), Eq.{succ u1} R (coeFn.{max (succ (max u2 u1)) (succ u1), max (succ (max u2 u1)) (succ u1)} (RingHom.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (fun (_x : RingHom.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) => (MvPolynomial.{u2, u1} σ R _inst_1) -> R) (RingHom.hasCoeToFun.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.eval.{u1, u2} R σ _inst_1 f) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (fun (_x : RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (MvPolynomial.C.{u1, u2} R σ _inst_1) a)) a
-but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] {f : σ -> R} (a : R), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (a : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) a)) (FunLike.coe.{max (succ u2) (succ u1), max (succ u2) (succ u1), succ u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) _x) (MulHomClass.toFunLike.{max u2 u1, max u2 u1, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, max u2 u1, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, max u2 u1, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (RingHom.instRingHomClassRingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))))) (MvPolynomial.eval.{u2, u1} R σ _inst_1 f) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) a)) a
+<too large>
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval_C MvPolynomial.eval_Cₓ'. -/
 @[simp]
 theorem eval_C : ∀ a, eval f (C a) = a :=
@@ -2035,10 +1894,7 @@ theorem eval_X : ∀ n, eval f (X n) = f n :=
 #align mv_polynomial.eval_X MvPolynomial.eval_X
 
 /- warning: mv_polynomial.smul_eval -> MvPolynomial.smul_eval is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] (x : σ -> R) (p : MvPolynomial.{u2, u1} σ R _inst_1) (s : R), Eq.{succ u1} R (coeFn.{max (succ (max u2 u1)) (succ u1), max (succ (max u2 u1)) (succ u1)} (RingHom.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (fun (_x : RingHom.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) => (MvPolynomial.{u2, u1} σ R _inst_1) -> R) (RingHom.hasCoeToFun.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.eval.{u1, u2} R σ _inst_1 x) (SMul.smul.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (SMulZeroClass.toHasSmul.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (MulZeroClass.toHasZero.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toMulZeroClass.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))))) (MvPolynomial.smulZeroClass.{u1, u1, u2} R R σ _inst_1 (SMulWithZero.toSmulZeroClass.{u1, u1} R R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (MulZeroClass.toSMulWithZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))))) s p)) (HMul.hMul.{u1, u1, u1} R R R (instHMul.{u1} R (Distrib.toHasMul.{u1} R (NonUnitalNonAssocSemiring.toDistrib.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))) s (coeFn.{max (succ (max u2 u1)) (succ u1), max (succ (max u2 u1)) (succ u1)} (RingHom.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (fun (_x : RingHom.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) => (MvPolynomial.{u2, u1} σ R _inst_1) -> R) (RingHom.hasCoeToFun.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.eval.{u1, u2} R σ _inst_1 x) p))
-but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] (x : σ -> R) (p : MvPolynomial.{u1, u2} σ R _inst_1) (s : R), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) (HSMul.hSMul.{u2, max u2 u1, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (instHSMul.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Algebra.toSMul.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) s p)) (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), succ u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) _x) (MulHomClass.toFunLike.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (RingHom.instRingHomClassRingHom.{max u1 u2, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))))) (MvPolynomial.eval.{u2, u1} R σ _inst_1 x) (HSMul.hSMul.{u2, max u2 u1, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (instHSMul.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Algebra.toSMul.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) s p)) (HMul.hMul.{u2, u2, u2} R ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) R (instHMul.{u2} R (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) s (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), succ u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) _x) (MulHomClass.toFunLike.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (RingHom.instRingHomClassRingHom.{max u1 u2, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))))) (MvPolynomial.eval.{u2, u1} R σ _inst_1 x) p))
+<too large>
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.smul_eval MvPolynomial.smul_evalₓ'. -/
 @[simp]
 theorem smul_eval (x) (p : MvPolynomial σ R) (s) : eval x (s • p) = s * eval x p := by
@@ -2046,10 +1902,7 @@ theorem smul_eval (x) (p : MvPolynomial σ R) (s) : eval x (s • p) = s * eval
 #align mv_polynomial.smul_eval MvPolynomial.smul_eval
 
 /- warning: mv_polynomial.eval_sum -> MvPolynomial.eval_sum is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {ι : Type.{u3}} (s : Finset.{u3} ι) (f : ι -> (MvPolynomial.{u2, u1} σ R _inst_1)) (g : σ -> R), Eq.{succ u1} R (coeFn.{max (succ (max u2 u1)) (succ u1), max (succ (max u2 u1)) (succ u1)} (RingHom.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (fun (_x : RingHom.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) => (MvPolynomial.{u2, u1} σ R _inst_1) -> R) (RingHom.hasCoeToFun.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.eval.{u1, u2} R σ _inst_1 g) (Finset.sum.{max u2 u1, u3} (MvPolynomial.{u2, u1} σ R _inst_1) ι (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) s (fun (i : ι) => f i))) (Finset.sum.{u1, u3} R ι (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) s (fun (i : ι) => coeFn.{max (succ (max u2 u1)) (succ u1), max (succ (max u2 u1)) (succ u1)} (RingHom.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (fun (_x : RingHom.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) => (MvPolynomial.{u2, u1} σ R _inst_1) -> R) (RingHom.hasCoeToFun.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.eval.{u1, u2} R σ _inst_1 g) (f i)))
-but is expected to have type
-  forall {R : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u3} R] {ι : Type.{u2}} (s : Finset.{u2} ι) (f : ι -> (MvPolynomial.{u1, u3} σ R _inst_1)) (g : σ -> R), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u3} σ R _inst_1) => R) (Finset.sum.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) ι (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) s (fun (i : ι) => f i))) (FunLike.coe.{max (succ u3) (succ u1), max (succ u3) (succ u1), succ u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (MvPolynomial.{u1, u3} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u3} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u3} σ R _inst_1) => R) _x) (MulHomClass.toFunLike.{max u3 u1, max u3 u1, u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (MvPolynomial.{u1, u3} σ R _inst_1) R (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{max u3 u1, max u3 u1, u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (MvPolynomial.{u1, u3} σ R _inst_1) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{max u3 u1, max u3 u1, u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (MvPolynomial.{u1, u3} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (RingHom.instRingHomClassRingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))))) (MvPolynomial.eval.{u3, u1} R σ _inst_1 g) (Finset.sum.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) ι (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) s (fun (i : ι) => f i))) (Finset.sum.{u3, u2} R ι (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) s (fun (i : ι) => FunLike.coe.{max (succ u3) (succ u1), max (succ u3) (succ u1), succ u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (MvPolynomial.{u1, u3} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u3} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u3} σ R _inst_1) => R) _x) (MulHomClass.toFunLike.{max u3 u1, max u3 u1, u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (MvPolynomial.{u1, u3} σ R _inst_1) R (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{max u3 u1, max u3 u1, u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (MvPolynomial.{u1, u3} σ R _inst_1) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{max u3 u1, max u3 u1, u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (MvPolynomial.{u1, u3} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (RingHom.instRingHomClassRingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))))) (MvPolynomial.eval.{u3, u1} R σ _inst_1 g) (f i)))
+<too large>
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval_sum MvPolynomial.eval_sumₓ'. -/
 theorem eval_sum {ι : Type _} (s : Finset ι) (f : ι → MvPolynomial σ R) (g : σ → R) :
     eval g (∑ i in s, f i) = ∑ i in s, eval g (f i) :=
@@ -2057,10 +1910,7 @@ theorem eval_sum {ι : Type _} (s : Finset ι) (f : ι → MvPolynomial σ R) (g
 #align mv_polynomial.eval_sum MvPolynomial.eval_sum
 
 /- warning: mv_polynomial.eval_prod -> MvPolynomial.eval_prod is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {ι : Type.{u3}} (s : Finset.{u3} ι) (f : ι -> (MvPolynomial.{u2, u1} σ R _inst_1)) (g : σ -> R), Eq.{succ u1} R (coeFn.{max (succ (max u2 u1)) (succ u1), max (succ (max u2 u1)) (succ u1)} (RingHom.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (fun (_x : RingHom.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) => (MvPolynomial.{u2, u1} σ R _inst_1) -> R) (RingHom.hasCoeToFun.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.eval.{u1, u2} R σ _inst_1 g) (Finset.prod.{max u2 u1, u3} (MvPolynomial.{u2, u1} σ R _inst_1) ι (CommSemiring.toCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) s (fun (i : ι) => f i))) (Finset.prod.{u1, u3} R ι (CommSemiring.toCommMonoid.{u1} R _inst_1) s (fun (i : ι) => coeFn.{max (succ (max u2 u1)) (succ u1), max (succ (max u2 u1)) (succ u1)} (RingHom.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (fun (_x : RingHom.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) => (MvPolynomial.{u2, u1} σ R _inst_1) -> R) (RingHom.hasCoeToFun.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.eval.{u1, u2} R σ _inst_1 g) (f i)))
-but is expected to have type
-  forall {R : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u3} R] {ι : Type.{u2}} (s : Finset.{u2} ι) (f : ι -> (MvPolynomial.{u1, u3} σ R _inst_1)) (g : σ -> R), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u3} σ R _inst_1) => R) (Finset.prod.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) ι (CommSemiring.toCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) s (fun (i : ι) => f i))) (FunLike.coe.{max (succ u3) (succ u1), max (succ u3) (succ u1), succ u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (MvPolynomial.{u1, u3} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u3} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u3} σ R _inst_1) => R) _x) (MulHomClass.toFunLike.{max u3 u1, max u3 u1, u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (MvPolynomial.{u1, u3} σ R _inst_1) R (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{max u3 u1, max u3 u1, u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (MvPolynomial.{u1, u3} σ R _inst_1) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{max u3 u1, max u3 u1, u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (MvPolynomial.{u1, u3} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (RingHom.instRingHomClassRingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))))) (MvPolynomial.eval.{u3, u1} R σ _inst_1 g) (Finset.prod.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) ι (CommSemiring.toCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) s (fun (i : ι) => f i))) (Finset.prod.{u3, u2} R ι (CommSemiring.toCommMonoid.{u3} R _inst_1) s (fun (i : ι) => FunLike.coe.{max (succ u3) (succ u1), max (succ u3) (succ u1), succ u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (MvPolynomial.{u1, u3} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u3} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u3} σ R _inst_1) => R) _x) (MulHomClass.toFunLike.{max u3 u1, max u3 u1, u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (MvPolynomial.{u1, u3} σ R _inst_1) R (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{max u3 u1, max u3 u1, u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (MvPolynomial.{u1, u3} σ R _inst_1) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{max u3 u1, max u3 u1, u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (MvPolynomial.{u1, u3} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (RingHom.instRingHomClassRingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))))) (MvPolynomial.eval.{u3, u1} R σ _inst_1 g) (f i)))
+<too large>
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval_prod MvPolynomial.eval_prodₓ'. -/
 @[to_additive]
 theorem eval_prod {ι : Type _} (s : Finset ι) (f : ι → MvPolynomial σ R) (g : σ → R) :
@@ -2070,10 +1920,7 @@ theorem eval_prod {ι : Type _} (s : Finset ι) (f : ι → MvPolynomial σ R) (
 #align mv_polynomial.eval_sum MvPolynomial.eval_sum
 
 /- warning: mv_polynomial.eval_assoc -> MvPolynomial.eval_assoc is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {τ : Type.{u3}} (f : σ -> (MvPolynomial.{u3, u1} τ R _inst_1)) (g : τ -> R) (p : MvPolynomial.{u2, u1} σ R _inst_1), Eq.{succ u1} R (coeFn.{max (succ (max u2 u1)) (succ u1), max (succ (max u2 u1)) (succ u1)} (RingHom.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (fun (_x : RingHom.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) => (MvPolynomial.{u2, u1} σ R _inst_1) -> R) (RingHom.hasCoeToFun.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.eval.{u1, u2} R σ _inst_1 (Function.comp.{succ u2, max (succ u3) (succ u1), succ u1} σ (MvPolynomial.{u3, u1} τ R _inst_1) R (coeFn.{max (succ (max u3 u1)) (succ u1), max (succ (max u3 u1)) (succ u1)} (RingHom.{max u3 u1, u1} (MvPolynomial.{u3, u1} τ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} τ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} τ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R τ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (fun (_x : RingHom.{max u3 u1, u1} (MvPolynomial.{u3, u1} τ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} τ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} τ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R τ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) => (MvPolynomial.{u3, u1} τ R _inst_1) -> R) (RingHom.hasCoeToFun.{max u3 u1, u1} (MvPolynomial.{u3, u1} τ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} τ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} τ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R τ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.eval.{u1, u3} R τ _inst_1 g)) f)) p) (coeFn.{max (succ (max u3 u1)) (succ u1), max (succ (max u3 u1)) (succ u1)} (RingHom.{max u3 u1, u1} (MvPolynomial.{u3, u1} τ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} τ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} τ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R τ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (fun (_x : RingHom.{max u3 u1, u1} (MvPolynomial.{u3, u1} τ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} τ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} τ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R τ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) => (MvPolynomial.{u3, u1} τ R _inst_1) -> R) (RingHom.hasCoeToFun.{max u3 u1, u1} (MvPolynomial.{u3, u1} τ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} τ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} τ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R τ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.eval.{u1, u3} R τ _inst_1 g) (MvPolynomial.eval₂.{u1, max u3 u1, u2} R (MvPolynomial.{u3, u1} τ R _inst_1) σ _inst_1 (MvPolynomial.commSemiring.{u1, u3} R τ _inst_1) (MvPolynomial.C.{u1, u3} R τ _inst_1) f p))
-but is expected to have type
-  forall {R : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u3} R] {τ : Type.{u2}} (f : σ -> (MvPolynomial.{u2, u3} τ R _inst_1)) (g : τ -> R) (p : MvPolynomial.{u1, u3} σ R _inst_1), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u3} σ R _inst_1) => R) p) (FunLike.coe.{max (succ u3) (succ u1), max (succ u3) (succ u1), succ u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (MvPolynomial.{u1, u3} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u3} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u3} σ R _inst_1) => R) _x) (MulHomClass.toFunLike.{max u3 u1, max u3 u1, u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (MvPolynomial.{u1, u3} σ R _inst_1) R (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{max u3 u1, max u3 u1, u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (MvPolynomial.{u1, u3} σ R _inst_1) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{max u3 u1, max u3 u1, u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (MvPolynomial.{u1, u3} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (RingHom.instRingHomClassRingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))))) (MvPolynomial.eval.{u3, u1} R σ _inst_1 (Function.comp.{succ u1, max (succ u3) (succ u2), succ u3} σ (MvPolynomial.{u2, u3} τ R _inst_1) R (FunLike.coe.{max (succ u3) (succ u2), max (succ u3) (succ u2), succ u3} (RingHom.{max u3 u2, u3} (MvPolynomial.{u2, u3} τ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} τ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R τ _inst_1))) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (MvPolynomial.{u2, u3} τ R _inst_1) (fun (_x : MvPolynomial.{u2, u3} τ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u2, u3} τ R _inst_1) => R) _x) (MulHomClass.toFunLike.{max u3 u2, max u3 u2, u3} (RingHom.{max u3 u2, u3} (MvPolynomial.{u2, u3} τ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} τ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R τ _inst_1))) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (MvPolynomial.{u2, u3} τ R _inst_1) R (NonUnitalNonAssocSemiring.toMul.{max u3 u2} (MvPolynomial.{u2, u3} τ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} τ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} τ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R τ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{max u3 u2, max u3 u2, u3} (RingHom.{max u3 u2, u3} (MvPolynomial.{u2, u3} τ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} τ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R τ _inst_1))) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (MvPolynomial.{u2, u3} τ R _inst_1) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} τ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} τ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R τ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{max u3 u2, max u3 u2, u3} (RingHom.{max u3 u2, u3} (MvPolynomial.{u2, u3} τ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} τ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R τ _inst_1))) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (MvPolynomial.{u2, u3} τ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} τ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R τ _inst_1))) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (RingHom.instRingHomClassRingHom.{max u3 u2, u3} (MvPolynomial.{u2, u3} τ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} τ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R τ _inst_1))) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))))) (MvPolynomial.eval.{u3, u2} R τ _inst_1 g)) f)) p) (FunLike.coe.{max (succ u3) (succ u2), max (succ u3) (succ u2), succ u3} (RingHom.{max u3 u2, u3} (MvPolynomial.{u2, u3} τ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} τ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R τ _inst_1))) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (MvPolynomial.{u2, u3} τ R _inst_1) (fun (_x : MvPolynomial.{u2, u3} τ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u2, u3} τ R _inst_1) => R) _x) (MulHomClass.toFunLike.{max u3 u2, max u3 u2, u3} (RingHom.{max u3 u2, u3} (MvPolynomial.{u2, u3} τ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} τ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R τ _inst_1))) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (MvPolynomial.{u2, u3} τ R _inst_1) R (NonUnitalNonAssocSemiring.toMul.{max u3 u2} (MvPolynomial.{u2, u3} τ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} τ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} τ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R τ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{max u3 u2, max u3 u2, u3} (RingHom.{max u3 u2, u3} (MvPolynomial.{u2, u3} τ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} τ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R τ _inst_1))) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (MvPolynomial.{u2, u3} τ R _inst_1) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} τ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} τ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R τ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{max u3 u2, max u3 u2, u3} (RingHom.{max u3 u2, u3} (MvPolynomial.{u2, u3} τ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} τ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R τ _inst_1))) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (MvPolynomial.{u2, u3} τ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} τ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R τ _inst_1))) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (RingHom.instRingHomClassRingHom.{max u3 u2, u3} (MvPolynomial.{u2, u3} τ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} τ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R τ _inst_1))) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))))) (MvPolynomial.eval.{u3, u2} R τ _inst_1 g) (MvPolynomial.eval₂.{u3, max u3 u2, u1} R (MvPolynomial.{u2, u3} τ R _inst_1) σ _inst_1 (MvPolynomial.commSemiring.{u3, u2} R τ _inst_1) (MvPolynomial.C.{u3, u2} R τ _inst_1) f p))
+<too large>
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval_assoc MvPolynomial.eval_assocₓ'. -/
 theorem eval_assoc {τ} (f : σ → MvPolynomial τ R) (g : τ → R) (p : MvPolynomial σ R) :
     eval (eval g ∘ f) p = eval g (eval₂ C f p) :=
@@ -2095,10 +1942,7 @@ theorem eval₂_id (p : MvPolynomial σ R) (g : σ → R) : eval₂ (RingHom.id
 #align mv_polynomial.eval₂_id MvPolynomial.eval₂_id
 
 /- warning: mv_polynomial.eval_eval₂ -> MvPolynomial.eval_eval₂ is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {S₁ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] {τ : Type.{u4}} (f : RingHom.{u1, max u4 u2} R (MvPolynomial.{u4, u2} τ S₁ _inst_2) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u4, u2} τ S₁ _inst_2) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u4, u2} τ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u4} S₁ τ _inst_2)))) (g : σ -> (MvPolynomial.{u4, u2} τ S₁ _inst_2)) (p : MvPolynomial.{u3, u1} σ R _inst_1) (x : τ -> S₁), Eq.{succ u2} S₁ (coeFn.{max (succ (max u4 u2)) (succ u2), max (succ (max u4 u2)) (succ u2)} (RingHom.{max u4 u2, u2} (MvPolynomial.{u4, u2} τ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u4, u2} τ S₁ _inst_2) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u4, u2} τ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u4} S₁ τ _inst_2))) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (fun (_x : RingHom.{max u4 u2, u2} (MvPolynomial.{u4, u2} τ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u4, u2} τ S₁ _inst_2) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u4, u2} τ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u4} S₁ τ _inst_2))) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) => (MvPolynomial.{u4, u2} τ S₁ _inst_2) -> S₁) (RingHom.hasCoeToFun.{max u4 u2, u2} (MvPolynomial.{u4, u2} τ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u4, u2} τ S₁ _inst_2) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u4, u2} τ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u4} S₁ τ _inst_2))) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (MvPolynomial.eval.{u2, u4} S₁ τ _inst_2 x) (MvPolynomial.eval₂.{u1, max u4 u2, u3} R (MvPolynomial.{u4, u2} τ S₁ _inst_2) σ _inst_1 (MvPolynomial.commSemiring.{u2, u4} S₁ τ _inst_2) f g p)) (MvPolynomial.eval₂.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 (RingHom.comp.{u1, max u4 u2, u2} R (MvPolynomial.{u4, u2} τ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u4, u2} τ S₁ _inst_2) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u4, u2} τ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u4} S₁ τ _inst_2))) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (MvPolynomial.eval.{u2, u4} S₁ τ _inst_2 x) f) (fun (s : σ) => coeFn.{max (succ (max u4 u2)) (succ u2), max (succ (max u4 u2)) (succ u2)} (RingHom.{max u4 u2, u2} (MvPolynomial.{u4, u2} τ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u4, u2} τ S₁ _inst_2) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u4, u2} τ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u4} S₁ τ _inst_2))) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (fun (_x : RingHom.{max u4 u2, u2} (MvPolynomial.{u4, u2} τ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u4, u2} τ S₁ _inst_2) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u4, u2} τ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u4} S₁ τ _inst_2))) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) => (MvPolynomial.{u4, u2} τ S₁ _inst_2) -> S₁) (RingHom.hasCoeToFun.{max u4 u2, u2} (MvPolynomial.{u4, u2} τ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u4, u2} τ S₁ _inst_2) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u4, u2} τ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u4} S₁ τ _inst_2))) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (MvPolynomial.eval.{u2, u4} S₁ τ _inst_2 x) (g s)) p)
-but is expected to have type
-  forall {R : Type.{u4}} {S₁ : Type.{u1}} {σ : Type.{u3}} {_inst_1 : Type.{u2}} {_inst_2 : _inst_1 -> σ} [τ : CommSemiring.{u4} R] [f : CommSemiring.{u3} σ] (g : RingHom.{u4, max u3 u2} R (MvPolynomial.{u2, u3} _inst_1 σ f) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R τ)) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} _inst_1 σ f) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} _inst_1 σ f) (MvPolynomial.commSemiring.{u3, u2} σ _inst_1 f)))) (p : S₁ -> (MvPolynomial.{u2, u3} _inst_1 σ f)) (x : MvPolynomial.{u1, u4} S₁ R τ), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u2, u3} _inst_1 σ f) => σ) (MvPolynomial.eval₂.{u4, max u2 u3, u1} R (MvPolynomial.{u2, u3} _inst_1 σ f) S₁ τ (MvPolynomial.commSemiring.{u3, u2} σ _inst_1 f) g p x)) (FunLike.coe.{max (succ u2) (succ u3), max (succ u2) (succ u3), succ u3} (RingHom.{max u3 u2, u3} (MvPolynomial.{u2, u3} _inst_1 σ f) σ (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} _inst_1 σ f) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} _inst_1 σ f) (MvPolynomial.commSemiring.{u3, u2} σ _inst_1 f))) (Semiring.toNonAssocSemiring.{u3} σ (CommSemiring.toSemiring.{u3} σ f))) (MvPolynomial.{u2, u3} _inst_1 σ f) (fun (_x : MvPolynomial.{u2, u3} _inst_1 σ f) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u2, u3} _inst_1 σ f) => σ) _x) (MulHomClass.toFunLike.{max u2 u3, max u2 u3, u3} (RingHom.{max u3 u2, u3} (MvPolynomial.{u2, u3} _inst_1 σ f) σ (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} _inst_1 σ f) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} _inst_1 σ f) (MvPolynomial.commSemiring.{u3, u2} σ _inst_1 f))) (Semiring.toNonAssocSemiring.{u3} σ (CommSemiring.toSemiring.{u3} σ f))) (MvPolynomial.{u2, u3} _inst_1 σ f) σ (NonUnitalNonAssocSemiring.toMul.{max u2 u3} (MvPolynomial.{u2, u3} _inst_1 σ f) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u3} (MvPolynomial.{u2, u3} _inst_1 σ f) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} _inst_1 σ f) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} _inst_1 σ f) (MvPolynomial.commSemiring.{u3, u2} σ _inst_1 f))))) (NonUnitalNonAssocSemiring.toMul.{u3} σ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} σ (Semiring.toNonAssocSemiring.{u3} σ (CommSemiring.toSemiring.{u3} σ f)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u3, max u2 u3, u3} (RingHom.{max u3 u2, u3} (MvPolynomial.{u2, u3} _inst_1 σ f) σ (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} _inst_1 σ f) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} _inst_1 σ f) (MvPolynomial.commSemiring.{u3, u2} σ _inst_1 f))) (Semiring.toNonAssocSemiring.{u3} σ (CommSemiring.toSemiring.{u3} σ f))) (MvPolynomial.{u2, u3} _inst_1 σ f) σ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u3} (MvPolynomial.{u2, u3} _inst_1 σ f) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} _inst_1 σ f) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} _inst_1 σ f) (MvPolynomial.commSemiring.{u3, u2} σ _inst_1 f)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} σ (Semiring.toNonAssocSemiring.{u3} σ (CommSemiring.toSemiring.{u3} σ f))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u3, max u2 u3, u3} (RingHom.{max u3 u2, u3} (MvPolynomial.{u2, u3} _inst_1 σ f) σ (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} _inst_1 σ f) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} _inst_1 σ f) (MvPolynomial.commSemiring.{u3, u2} σ _inst_1 f))) (Semiring.toNonAssocSemiring.{u3} σ (CommSemiring.toSemiring.{u3} σ f))) (MvPolynomial.{u2, u3} _inst_1 σ f) σ (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} _inst_1 σ f) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} _inst_1 σ f) (MvPolynomial.commSemiring.{u3, u2} σ _inst_1 f))) (Semiring.toNonAssocSemiring.{u3} σ (CommSemiring.toSemiring.{u3} σ f)) (RingHom.instRingHomClassRingHom.{max u2 u3, u3} (MvPolynomial.{u2, u3} _inst_1 σ f) σ (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} _inst_1 σ f) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} _inst_1 σ f) (MvPolynomial.commSemiring.{u3, u2} σ _inst_1 f))) (Semiring.toNonAssocSemiring.{u3} σ (CommSemiring.toSemiring.{u3} σ f)))))) (MvPolynomial.eval.{u3, u2} σ _inst_1 f _inst_2) (MvPolynomial.eval₂.{u4, max u2 u3, u1} R (MvPolynomial.{u2, u3} _inst_1 σ f) S₁ τ (MvPolynomial.commSemiring.{u3, u2} σ _inst_1 f) g p x)) (MvPolynomial.eval₂.{u4, u3, u1} R σ S₁ τ f (RingHom.comp.{u4, max u3 u2, u3} R (MvPolynomial.{u2, u3} _inst_1 σ f) σ (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R τ)) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} _inst_1 σ f) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} _inst_1 σ f) (MvPolynomial.commSemiring.{u3, u2} σ _inst_1 f))) (Semiring.toNonAssocSemiring.{u3} σ (CommSemiring.toSemiring.{u3} σ f)) (MvPolynomial.eval.{u3, u2} σ _inst_1 f _inst_2) g) (fun (s : S₁) => FunLike.coe.{max (succ u3) (succ u2), max (succ u3) (succ u2), succ u3} (RingHom.{max u3 u2, u3} (MvPolynomial.{u2, u3} _inst_1 σ f) σ (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} _inst_1 σ f) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} _inst_1 σ f) (MvPolynomial.commSemiring.{u3, u2} σ _inst_1 f))) (Semiring.toNonAssocSemiring.{u3} σ (CommSemiring.toSemiring.{u3} σ f))) (MvPolynomial.{u2, u3} _inst_1 σ f) (fun (_x : MvPolynomial.{u2, u3} _inst_1 σ f) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u2, u3} _inst_1 σ f) => σ) _x) (MulHomClass.toFunLike.{max u3 u2, max u3 u2, u3} (RingHom.{max u3 u2, u3} (MvPolynomial.{u2, u3} _inst_1 σ f) σ (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} _inst_1 σ f) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} _inst_1 σ f) (MvPolynomial.commSemiring.{u3, u2} σ _inst_1 f))) (Semiring.toNonAssocSemiring.{u3} σ (CommSemiring.toSemiring.{u3} σ f))) (MvPolynomial.{u2, u3} _inst_1 σ f) σ (NonUnitalNonAssocSemiring.toMul.{max u3 u2} (MvPolynomial.{u2, u3} _inst_1 σ f) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} _inst_1 σ f) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} _inst_1 σ f) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} _inst_1 σ f) (MvPolynomial.commSemiring.{u3, u2} σ _inst_1 f))))) (NonUnitalNonAssocSemiring.toMul.{u3} σ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} σ (Semiring.toNonAssocSemiring.{u3} σ (CommSemiring.toSemiring.{u3} σ f)))) (NonUnitalRingHomClass.toMulHomClass.{max u3 u2, max u3 u2, u3} (RingHom.{max u3 u2, u3} (MvPolynomial.{u2, u3} _inst_1 σ f) σ (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} _inst_1 σ f) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} _inst_1 σ f) (MvPolynomial.commSemiring.{u3, u2} σ _inst_1 f))) (Semiring.toNonAssocSemiring.{u3} σ (CommSemiring.toSemiring.{u3} σ f))) (MvPolynomial.{u2, u3} _inst_1 σ f) σ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} _inst_1 σ f) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} _inst_1 σ f) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} _inst_1 σ f) (MvPolynomial.commSemiring.{u3, u2} σ _inst_1 f)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} σ (Semiring.toNonAssocSemiring.{u3} σ (CommSemiring.toSemiring.{u3} σ f))) (RingHomClass.toNonUnitalRingHomClass.{max u3 u2, max u3 u2, u3} (RingHom.{max u3 u2, u3} (MvPolynomial.{u2, u3} _inst_1 σ f) σ (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} _inst_1 σ f) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} _inst_1 σ f) (MvPolynomial.commSemiring.{u3, u2} σ _inst_1 f))) (Semiring.toNonAssocSemiring.{u3} σ (CommSemiring.toSemiring.{u3} σ f))) (MvPolynomial.{u2, u3} _inst_1 σ f) σ (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} _inst_1 σ f) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} _inst_1 σ f) (MvPolynomial.commSemiring.{u3, u2} σ _inst_1 f))) (Semiring.toNonAssocSemiring.{u3} σ (CommSemiring.toSemiring.{u3} σ f)) (RingHom.instRingHomClassRingHom.{max u3 u2, u3} (MvPolynomial.{u2, u3} _inst_1 σ f) σ (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} _inst_1 σ f) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} _inst_1 σ f) (MvPolynomial.commSemiring.{u3, u2} σ _inst_1 f))) (Semiring.toNonAssocSemiring.{u3} σ (CommSemiring.toSemiring.{u3} σ f)))))) (MvPolynomial.eval.{u3, u2} σ _inst_1 f _inst_2) (p s)) x)
+<too large>
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval_eval₂ MvPolynomial.eval_eval₂ₓ'. -/
 theorem eval_eval₂ {τ : Type _} (f : R →+* MvPolynomial τ S₁) (g : σ → MvPolynomial τ S₁)
     (p : MvPolynomial σ R) (x : τ → S₁) :
@@ -2126,10 +1970,7 @@ def map : MvPolynomial σ R →+* MvPolynomial σ S₁ :=
 -/
 
 /- warning: mv_polynomial.map_monomial -> MvPolynomial.map_monomial is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {S₁ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] (f : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (s : Finsupp.{u3, 0} σ Nat Nat.hasZero) (a : R), Eq.{max (succ u3) (succ u2)} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (coeFn.{max (succ (max u3 u1)) (succ (max u3 u2)), max (succ (max u3 u1)) (succ (max u3 u2))} (RingHom.{max u3 u1, max u3 u2} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))) (fun (_x : RingHom.{max u3 u1, max u3 u2} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))) => (MvPolynomial.{u3, u1} σ R _inst_1) -> (MvPolynomial.{u3, u2} σ S₁ _inst_2)) (RingHom.hasCoeToFun.{max u3 u1, max u3 u2} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))) (MvPolynomial.map.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 f) (coeFn.{max (succ u1) (succ (max u3 u1)), max (succ u1) (succ (max u3 u1))} (LinearMap.{u1, u1, u1, max u3 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u3, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u3 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u3, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u3, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u3 u1} R R R (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u3} R σ _inst_1 s) a)) (coeFn.{max (succ u2) (succ (max u3 u2)), max (succ u2) (succ (max u3 u2))} (LinearMap.{u2, u2, u2, max u3 u2} S₁ S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2) (CommSemiring.toSemiring.{u2} S₁ _inst_2) (RingHom.id.{u2} S₁ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) S₁ (MvPolynomial.{u3, u2} σ S₁ _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S₁ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2))))) (Semiring.toModule.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (MvPolynomial.module.{u2, u2, u3} S₁ S₁ σ (CommSemiring.toSemiring.{u2} S₁ _inst_2) _inst_2 (Semiring.toModule.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)))) (fun (_x : LinearMap.{u2, u2, u2, max u3 u2} S₁ S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2) (CommSemiring.toSemiring.{u2} S₁ _inst_2) (RingHom.id.{u2} S₁ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) S₁ (MvPolynomial.{u3, u2} σ S₁ _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S₁ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2))))) (Semiring.toModule.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (MvPolynomial.module.{u2, u2, u3} S₁ S₁ σ (CommSemiring.toSemiring.{u2} S₁ _inst_2) _inst_2 (Semiring.toModule.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)))) => S₁ -> (MvPolynomial.{u3, u2} σ S₁ _inst_2)) (LinearMap.hasCoeToFun.{u2, u2, u2, max u3 u2} S₁ S₁ S₁ (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{u2} S₁ _inst_2) (CommSemiring.toSemiring.{u2} S₁ _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S₁ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2))))) (Semiring.toModule.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (MvPolynomial.module.{u2, u2, u3} S₁ S₁ σ (CommSemiring.toSemiring.{u2} S₁ _inst_2) _inst_2 (Semiring.toModule.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (RingHom.id.{u2} S₁ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)))) (MvPolynomial.monomial.{u2, u3} S₁ σ _inst_2 s) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (fun (_x : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) => R -> S₁) (RingHom.hasCoeToFun.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) f a))
-but is expected to have type
-  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] (f : RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (s : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (a : R), Eq.{max (succ u3) (succ u1)} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u3} σ S₁ _inst_2) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (a : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s) a)) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u2) (succ u1), max (succ u3) (succ u1)} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u3} σ S₁ _inst_2) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (RingHom.instRingHomClassRingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))))) (MvPolynomial.map.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s) a)) (FunLike.coe.{max (succ u1) (succ u3), succ u3, max (succ u1) (succ u3)} (LinearMap.{u3, u3, u3, max u3 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) _inst_2) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) _inst_2) (RingHom.id.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) (Semiring.toNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) _inst_2))) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) (Semiring.toNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) _inst_2) (MvPolynomial.commSemiring.{u3, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) σ _inst_2))))) (Semiring.toModule.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) _inst_2)) (MvPolynomial.module.{u3, u3, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) σ (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) _inst_2) _inst_2 (Semiring.toModule.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) _inst_2)))) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) (fun (_x : (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) => MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) _inst_2) _x) (LinearMap.instFunLikeLinearMap.{u3, u3, u3, max u1 u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) _inst_2) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) _inst_2) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) (Semiring.toNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) _inst_2) (MvPolynomial.commSemiring.{u3, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) σ _inst_2))))) (Semiring.toModule.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) _inst_2)) (MvPolynomial.module.{u3, u3, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) σ (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) _inst_2) _inst_2 (Semiring.toModule.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) _inst_2))) (RingHom.id.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) (Semiring.toNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) _inst_2)))) (MvPolynomial.monomial.{u3, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) σ _inst_2 s) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) _x) (MulHomClass.toFunLike.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) f a))
+<too large>
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.map_monomial MvPolynomial.map_monomialₓ'. -/
 @[simp]
 theorem map_monomial (s : σ →₀ ℕ) (a : R) : map f (monomial s a) = monomial s (f a) :=
@@ -2137,10 +1978,7 @@ theorem map_monomial (s : σ →₀ ℕ) (a : R) : map f (monomial s a) = monomi
 #align mv_polynomial.map_monomial MvPolynomial.map_monomial
 
 /- warning: mv_polynomial.map_C -> MvPolynomial.map_C is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {S₁ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] (f : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (a : R), Eq.{max (succ u3) (succ u2)} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (coeFn.{max (succ (max u3 u1)) (succ (max u3 u2)), max (succ (max u3 u1)) (succ (max u3 u2))} (RingHom.{max u3 u1, max u3 u2} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))) (fun (_x : RingHom.{max u3 u1, max u3 u2} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))) => (MvPolynomial.{u3, u1} σ R _inst_1) -> (MvPolynomial.{u3, u2} σ S₁ _inst_2)) (RingHom.hasCoeToFun.{max u3 u1, max u3 u2} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))) (MvPolynomial.map.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 f) (coeFn.{max (succ u1) (succ (max u3 u1)), max (succ u1) (succ (max u3 u1))} (RingHom.{u1, max u3 u1} R (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)))) (fun (_x : RingHom.{u1, max u3 u1} R (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)))) => R -> (MvPolynomial.{u3, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{u1, max u3 u1} R (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)))) (MvPolynomial.C.{u1, u3} R σ _inst_1) a)) (coeFn.{max (succ u2) (succ (max u3 u2)), max (succ u2) (succ (max u3 u2))} (RingHom.{u2, max u3 u2} S₁ (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))) (fun (_x : RingHom.{u2, max u3 u2} S₁ (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))) => S₁ -> (MvPolynomial.{u3, u2} σ S₁ _inst_2)) (RingHom.hasCoeToFun.{u2, max u3 u2} S₁ (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))) (MvPolynomial.C.{u2, u3} S₁ σ _inst_2) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (fun (_x : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) => R -> S₁) (RingHom.hasCoeToFun.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) f a))
-but is expected to have type
-  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] (f : RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (a : R), Eq.{max (succ u3) (succ u1)} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u3} σ S₁ _inst_2) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (a : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) a)) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u2) (succ u1), max (succ u3) (succ u1)} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u3} σ S₁ _inst_2) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (RingHom.instRingHomClassRingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))))) (MvPolynomial.map.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) a)) (FunLike.coe.{max (succ u1) (succ u3), succ u3, max (succ u1) (succ u3)} (RingHom.{u3, max u3 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) _inst_2) (Semiring.toNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) _inst_2)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) _inst_2) (MvPolynomial.commSemiring.{u3, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) σ _inst_2)))) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) (fun (_x : (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) => MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) _inst_2) _x) (MulHomClass.toFunLike.{max u1 u3, u3, max u1 u3} (RingHom.{u3, max u3 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) _inst_2) (Semiring.toNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) _inst_2)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) _inst_2) (MvPolynomial.commSemiring.{u3, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) σ _inst_2)))) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) _inst_2) (NonUnitalNonAssocSemiring.toMul.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) (Semiring.toNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) _inst_2)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u3} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) _inst_2) (MvPolynomial.commSemiring.{u3, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) σ _inst_2))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u3, u3, max u1 u3} (RingHom.{u3, max u3 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) _inst_2) (Semiring.toNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) _inst_2)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) _inst_2) (MvPolynomial.commSemiring.{u3, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) σ _inst_2)))) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) (Semiring.toNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) _inst_2))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) _inst_2) (MvPolynomial.commSemiring.{u3, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) σ _inst_2)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u3, u3, max u1 u3} (RingHom.{u3, max u3 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) _inst_2) (Semiring.toNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) _inst_2)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) _inst_2) (MvPolynomial.commSemiring.{u3, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) σ _inst_2)))) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) _inst_2) (Semiring.toNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) _inst_2)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) _inst_2) (MvPolynomial.commSemiring.{u3, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) σ _inst_2))) (RingHom.instRingHomClassRingHom.{u3, max u1 u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) _inst_2) (Semiring.toNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) _inst_2)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) _inst_2) (MvPolynomial.commSemiring.{u3, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) σ _inst_2))))))) (MvPolynomial.C.{u3, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) σ _inst_2) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) _x) (MulHomClass.toFunLike.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) f a))
+<too large>
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.map_C MvPolynomial.map_Cₓ'. -/
 @[simp]
 theorem map_C : ∀ a : R, map f (C a : MvPolynomial σ R) = C (f a) :=
@@ -2169,10 +2007,7 @@ theorem map_id : ∀ p : MvPolynomial σ R, map (RingHom.id R) p = p :=
 #align mv_polynomial.map_id MvPolynomial.map_id
 
 /- warning: mv_polynomial.map_map -> MvPolynomial.map_map is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {S₁ : Type.{u2}} {S₂ : Type.{u3}} {σ : Type.{u4}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] (f : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) [_inst_3 : CommSemiring.{u3} S₂] (g : RingHom.{u2, u3} S₁ S₂ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_3))) (p : MvPolynomial.{u4, u1} σ R _inst_1), Eq.{max (succ u4) (succ u3)} (MvPolynomial.{u4, u3} σ S₂ _inst_3) (coeFn.{max (succ (max u4 u2)) (succ (max u4 u3)), max (succ (max u4 u2)) (succ (max u4 u3))} (RingHom.{max u4 u2, max u4 u3} (MvPolynomial.{u4, u2} σ S₁ _inst_2) (MvPolynomial.{u4, u3} σ S₂ _inst_3) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u4, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u4, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u4} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{max u4 u3} (MvPolynomial.{u4, u3} σ S₂ _inst_3) (CommSemiring.toSemiring.{max u4 u3} (MvPolynomial.{u4, u3} σ S₂ _inst_3) (MvPolynomial.commSemiring.{u3, u4} S₂ σ _inst_3)))) (fun (_x : RingHom.{max u4 u2, max u4 u3} (MvPolynomial.{u4, u2} σ S₁ _inst_2) (MvPolynomial.{u4, u3} σ S₂ _inst_3) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u4, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u4, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u4} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{max u4 u3} (MvPolynomial.{u4, u3} σ S₂ _inst_3) (CommSemiring.toSemiring.{max u4 u3} (MvPolynomial.{u4, u3} σ S₂ _inst_3) (MvPolynomial.commSemiring.{u3, u4} S₂ σ _inst_3)))) => (MvPolynomial.{u4, u2} σ S₁ _inst_2) -> (MvPolynomial.{u4, u3} σ S₂ _inst_3)) (RingHom.hasCoeToFun.{max u4 u2, max u4 u3} (MvPolynomial.{u4, u2} σ S₁ _inst_2) (MvPolynomial.{u4, u3} σ S₂ _inst_3) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u4, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u4, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u4} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{max u4 u3} (MvPolynomial.{u4, u3} σ S₂ _inst_3) (CommSemiring.toSemiring.{max u4 u3} (MvPolynomial.{u4, u3} σ S₂ _inst_3) (MvPolynomial.commSemiring.{u3, u4} S₂ σ _inst_3)))) (MvPolynomial.map.{u2, u3, u4} S₁ S₂ σ _inst_2 _inst_3 g) (coeFn.{max (succ (max u4 u1)) (succ (max u4 u2)), max (succ (max u4 u1)) (succ (max u4 u2))} (RingHom.{max u4 u1, max u4 u2} (MvPolynomial.{u4, u1} σ R _inst_1) (MvPolynomial.{u4, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u4, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u4, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u4} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u4, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u4, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u4} S₁ σ _inst_2)))) (fun (_x : RingHom.{max u4 u1, max u4 u2} (MvPolynomial.{u4, u1} σ R _inst_1) (MvPolynomial.{u4, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u4, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u4, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u4} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u4, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u4, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u4} S₁ σ _inst_2)))) => (MvPolynomial.{u4, u1} σ R _inst_1) -> (MvPolynomial.{u4, u2} σ S₁ _inst_2)) (RingHom.hasCoeToFun.{max u4 u1, max u4 u2} (MvPolynomial.{u4, u1} σ R _inst_1) (MvPolynomial.{u4, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u4, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u4, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u4} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u4, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u4, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u4} S₁ σ _inst_2)))) (MvPolynomial.map.{u1, u2, u4} R S₁ σ _inst_1 _inst_2 f) p)) (coeFn.{max (succ (max u4 u1)) (succ (max u4 u3)), max (succ (max u4 u1)) (succ (max u4 u3))} (RingHom.{max u4 u1, max u4 u3} (MvPolynomial.{u4, u1} σ R _inst_1) (MvPolynomial.{u4, u3} σ S₂ _inst_3) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u4, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u4, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u4} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u4 u3} (MvPolynomial.{u4, u3} σ S₂ _inst_3) (CommSemiring.toSemiring.{max u4 u3} (MvPolynomial.{u4, u3} σ S₂ _inst_3) (MvPolynomial.commSemiring.{u3, u4} S₂ σ _inst_3)))) (fun (_x : RingHom.{max u4 u1, max u4 u3} (MvPolynomial.{u4, u1} σ R _inst_1) (MvPolynomial.{u4, u3} σ S₂ _inst_3) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u4, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u4, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u4} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u4 u3} (MvPolynomial.{u4, u3} σ S₂ _inst_3) (CommSemiring.toSemiring.{max u4 u3} (MvPolynomial.{u4, u3} σ S₂ _inst_3) (MvPolynomial.commSemiring.{u3, u4} S₂ σ _inst_3)))) => (MvPolynomial.{u4, u1} σ R _inst_1) -> (MvPolynomial.{u4, u3} σ S₂ _inst_3)) (RingHom.hasCoeToFun.{max u4 u1, max u4 u3} (MvPolynomial.{u4, u1} σ R _inst_1) (MvPolynomial.{u4, u3} σ S₂ _inst_3) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u4, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u4, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u4} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u4 u3} (MvPolynomial.{u4, u3} σ S₂ _inst_3) (CommSemiring.toSemiring.{max u4 u3} (MvPolynomial.{u4, u3} σ S₂ _inst_3) (MvPolynomial.commSemiring.{u3, u4} S₂ σ _inst_3)))) (MvPolynomial.map.{u1, u3, u4} R S₂ σ _inst_1 _inst_3 (RingHom.comp.{u1, u2, u3} R S₁ S₂ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_3)) g f)) p)
-but is expected to have type
-  forall {R : Type.{u2}} {S₁ : Type.{u3}} {S₂ : Type.{u4}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] (f : RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) [_inst_3 : CommSemiring.{u4} S₂] (g : RingHom.{u3, u4} S₁ S₂ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))) (p : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{max (succ u4) (succ u1)} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u3} σ S₁ _inst_2) => MvPolynomial.{u1, u4} σ S₂ _inst_3) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u2) (succ u1), max (succ u3) (succ u1)} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (a : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u3} σ S₁ _inst_2) a) (MulHomClass.toFunLike.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (RingHom.instRingHomClassRingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))))) (MvPolynomial.map.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f) p)) (FunLike.coe.{max (max (succ u3) (succ u4)) (succ u1), max (succ u3) (succ u1), max (succ u4) (succ u1)} (RingHom.{max u3 u1, max u4 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.{u1, u4} σ S₂ _inst_3) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₂ _inst_3) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₂ _inst_3) (MvPolynomial.commSemiring.{u4, u1} S₂ σ _inst_3)))) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (fun (_x : MvPolynomial.{u1, u3} σ S₁ _inst_2) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u3} σ S₁ _inst_2) => MvPolynomial.{u1, u4} σ S₂ _inst_3) _x) (MulHomClass.toFunLike.{max (max u3 u4) u1, max u3 u1, max u4 u1} (RingHom.{max u3 u1, max u4 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.{u1, u4} σ S₂ _inst_3) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₂ _inst_3) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₂ _inst_3) (MvPolynomial.commSemiring.{u4, u1} S₂ σ _inst_3)))) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.{u1, u4} σ S₂ _inst_3) (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))) (NonUnitalNonAssocSemiring.toMul.{max u4 u1} (MvPolynomial.{u1, u4} σ S₂ _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₂ _inst_3) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₂ _inst_3) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₂ _inst_3) (MvPolynomial.commSemiring.{u4, u1} S₂ σ _inst_3))))) (NonUnitalRingHomClass.toMulHomClass.{max (max u3 u4) u1, max u3 u1, max u4 u1} (RingHom.{max u3 u1, max u4 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.{u1, u4} σ S₂ _inst_3) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₂ _inst_3) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₂ _inst_3) (MvPolynomial.commSemiring.{u4, u1} S₂ σ _inst_3)))) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.{u1, u4} σ S₂ _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₂ _inst_3) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₂ _inst_3) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₂ _inst_3) (MvPolynomial.commSemiring.{u4, u1} S₂ σ _inst_3)))) (RingHomClass.toNonUnitalRingHomClass.{max (max u3 u4) u1, max u3 u1, max u4 u1} (RingHom.{max u3 u1, max u4 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.{u1, u4} σ S₂ _inst_3) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₂ _inst_3) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₂ _inst_3) (MvPolynomial.commSemiring.{u4, u1} S₂ σ _inst_3)))) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.{u1, u4} σ S₂ _inst_3) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₂ _inst_3) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₂ _inst_3) (MvPolynomial.commSemiring.{u4, u1} S₂ σ _inst_3))) (RingHom.instRingHomClassRingHom.{max u3 u1, max u4 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.{u1, u4} σ S₂ _inst_3) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₂ _inst_3) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₂ _inst_3) (MvPolynomial.commSemiring.{u4, u1} S₂ σ _inst_3))))))) (MvPolynomial.map.{u3, u4, u1} S₁ S₂ σ _inst_2 _inst_3 g) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u2) (succ u1), max (succ u3) (succ u1)} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u3} σ S₁ _inst_2) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (RingHom.instRingHomClassRingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))))) (MvPolynomial.map.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f) p)) (FunLike.coe.{max (max (succ u2) (succ u4)) (succ u1), max (succ u2) (succ u1), max (succ u4) (succ u1)} (RingHom.{max u2 u1, max u4 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u4} σ S₂ _inst_3) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₂ _inst_3) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₂ _inst_3) (MvPolynomial.commSemiring.{u4, u1} S₂ σ _inst_3)))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u4} σ S₂ _inst_3) _x) (MulHomClass.toFunLike.{max (max u2 u4) u1, max u2 u1, max u4 u1} (RingHom.{max u2 u1, max u4 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u4} σ S₂ _inst_3) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₂ _inst_3) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₂ _inst_3) (MvPolynomial.commSemiring.{u4, u1} S₂ σ _inst_3)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u4} σ S₂ _inst_3) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{max u4 u1} (MvPolynomial.{u1, u4} σ S₂ _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₂ _inst_3) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₂ _inst_3) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₂ _inst_3) (MvPolynomial.commSemiring.{u4, u1} S₂ σ _inst_3))))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u4) u1, max u2 u1, max u4 u1} (RingHom.{max u2 u1, max u4 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u4} σ S₂ _inst_3) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₂ _inst_3) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₂ _inst_3) (MvPolynomial.commSemiring.{u4, u1} S₂ σ _inst_3)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u4} σ S₂ _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₂ _inst_3) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₂ _inst_3) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₂ _inst_3) (MvPolynomial.commSemiring.{u4, u1} S₂ σ _inst_3)))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u4) u1, max u2 u1, max u4 u1} (RingHom.{max u2 u1, max u4 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u4} σ S₂ _inst_3) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₂ _inst_3) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₂ _inst_3) (MvPolynomial.commSemiring.{u4, u1} S₂ σ _inst_3)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u4} σ S₂ _inst_3) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₂ _inst_3) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₂ _inst_3) (MvPolynomial.commSemiring.{u4, u1} S₂ σ _inst_3))) (RingHom.instRingHomClassRingHom.{max u2 u1, max u4 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u4} σ S₂ _inst_3) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₂ _inst_3) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₂ _inst_3) (MvPolynomial.commSemiring.{u4, u1} S₂ σ _inst_3))))))) (MvPolynomial.map.{u2, u4, u1} R S₂ σ _inst_1 _inst_3 (RingHom.comp.{u2, u3, u4} R S₁ S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3)) g f)) p)
+<too large>
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.map_map MvPolynomial.map_mapₓ'. -/
 theorem map_map [CommSemiring S₂] (g : S₁ →+* S₂) (p : MvPolynomial σ R) :
     map g (map f p) = map (g.comp f) p :=
@@ -2186,10 +2021,7 @@ theorem map_map [CommSemiring S₂] (g : S₁ →+* S₂) (p : MvPolynomial σ R
 #align mv_polynomial.map_map MvPolynomial.map_map
 
 /- warning: mv_polynomial.eval₂_eq_eval_map -> MvPolynomial.eval₂_eq_eval_map is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {S₁ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] (f : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (g : σ -> S₁) (p : MvPolynomial.{u3, u1} σ R _inst_1), Eq.{succ u2} S₁ (MvPolynomial.eval₂.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 f g p) (coeFn.{max (succ (max u3 u2)) (succ u2), max (succ (max u3 u2)) (succ u2)} (RingHom.{max u3 u2, u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (fun (_x : RingHom.{max u3 u2, u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) => (MvPolynomial.{u3, u2} σ S₁ _inst_2) -> S₁) (RingHom.hasCoeToFun.{max u3 u2, u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (MvPolynomial.eval.{u2, u3} S₁ σ _inst_2 g) (coeFn.{max (succ (max u3 u1)) (succ (max u3 u2)), max (succ (max u3 u1)) (succ (max u3 u2))} (RingHom.{max u3 u1, max u3 u2} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))) (fun (_x : RingHom.{max u3 u1, max u3 u2} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))) => (MvPolynomial.{u3, u1} σ R _inst_1) -> (MvPolynomial.{u3, u2} σ S₁ _inst_2)) (RingHom.hasCoeToFun.{max u3 u1, max u3 u2} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))) (MvPolynomial.map.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 f) p))
-but is expected to have type
-  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] (f : RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (g : σ -> S₁) (p : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{succ u3} S₁ (MvPolynomial.eval₂.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f g p) (FunLike.coe.{max (succ u3) (succ u1), max (succ u3) (succ u1), succ u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (fun (_x : MvPolynomial.{u1, u3} σ S₁ _inst_2) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u3} σ S₁ _inst_2) => S₁) _x) (MulHomClass.toFunLike.{max u3 u1, max u3 u1, u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u3 u1, max u3 u1, u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u3 u1, max u3 u1, u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (MvPolynomial.eval.{u3, u1} S₁ σ _inst_2 g) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u2) (succ u1), max (succ u3) (succ u1)} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u3} σ S₁ _inst_2) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (RingHom.instRingHomClassRingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))))) (MvPolynomial.map.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f) p))
+<too large>
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval₂_eq_eval_map MvPolynomial.eval₂_eq_eval_mapₓ'. -/
 theorem eval₂_eq_eval_map (g : σ → S₁) (p : MvPolynomial σ R) : p.eval₂ f g = eval g (map f p) :=
   by
@@ -2205,10 +2037,7 @@ theorem eval₂_eq_eval_map (g : σ → S₁) (p : MvPolynomial σ R) : p.eval
 #align mv_polynomial.eval₂_eq_eval_map MvPolynomial.eval₂_eq_eval_map
 
 /- warning: mv_polynomial.eval₂_comp_right -> MvPolynomial.eval₂_comp_right is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {S₁ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] {S₂ : Type.{u4}} [_inst_3 : CommSemiring.{u4} S₂] (k : RingHom.{u2, u4} S₁ S₂ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))) (f : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (g : σ -> S₁) (p : MvPolynomial.{u3, u1} σ R _inst_1), Eq.{succ u4} S₂ (coeFn.{max (succ u2) (succ u4), max (succ u2) (succ u4)} (RingHom.{u2, u4} S₁ S₂ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))) (fun (_x : RingHom.{u2, u4} S₁ S₂ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))) => S₁ -> S₂) (RingHom.hasCoeToFun.{u2, u4} S₁ S₂ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))) k (MvPolynomial.eval₂.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 f g p)) (MvPolynomial.eval₂.{u2, u4, u3} S₁ S₂ σ _inst_2 _inst_3 k (Function.comp.{succ u3, succ u2, succ u4} σ S₁ S₂ (coeFn.{max (succ u2) (succ u4), max (succ u2) (succ u4)} (RingHom.{u2, u4} S₁ S₂ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))) (fun (_x : RingHom.{u2, u4} S₁ S₂ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))) => S₁ -> S₂) (RingHom.hasCoeToFun.{u2, u4} S₁ S₂ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))) k) g) (coeFn.{max (succ (max u3 u1)) (succ (max u3 u2)), max (succ (max u3 u1)) (succ (max u3 u2))} (RingHom.{max u3 u1, max u3 u2} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))) (fun (_x : RingHom.{max u3 u1, max u3 u2} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))) => (MvPolynomial.{u3, u1} σ R _inst_1) -> (MvPolynomial.{u3, u2} σ S₁ _inst_2)) (RingHom.hasCoeToFun.{max u3 u1, max u3 u2} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))) (MvPolynomial.map.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 f) p))
-but is expected to have type
-  forall {R : Type.{u3}} {S₁ : Type.{u4}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u3} R] [_inst_2 : CommSemiring.{u4} S₁] {S₂ : Type.{u2}} [_inst_3 : CommSemiring.{u2} S₂] (k : RingHom.{u4, u2} S₁ S₂ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_3))) (f : RingHom.{u3, u4} R S₁ (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2))) (g : σ -> S₁) (p : MvPolynomial.{u1, u3} σ R _inst_1), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : S₁) => S₂) (MvPolynomial.eval₂.{u3, u4, u1} R S₁ σ _inst_1 _inst_2 f g p)) (FunLike.coe.{max (succ u4) (succ u2), succ u4, succ u2} (RingHom.{u4, u2} S₁ S₂ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_3))) S₁ (fun (_x : S₁) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : S₁) => S₂) _x) (MulHomClass.toFunLike.{max u4 u2, u4, u2} (RingHom.{u4, u2} S₁ S₂ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_3))) S₁ S₂ (NonUnitalNonAssocSemiring.toMul.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))) (NonUnitalNonAssocSemiring.toMul.{u2} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S₂ (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_3)))) (NonUnitalRingHomClass.toMulHomClass.{max u4 u2, u4, u2} (RingHom.{u4, u2} S₁ S₂ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_3))) S₁ S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S₂ (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_3))) (RingHomClass.toNonUnitalRingHomClass.{max u4 u2, u4, u2} (RingHom.{u4, u2} S₁ S₂ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_3))) S₁ S₂ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_3)) (RingHom.instRingHomClassRingHom.{u4, u2} S₁ S₂ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_3)))))) k (MvPolynomial.eval₂.{u3, u4, u1} R S₁ σ _inst_1 _inst_2 f g p)) (MvPolynomial.eval₂.{u4, u2, u1} S₁ S₂ σ _inst_2 _inst_3 k (Function.comp.{succ u1, succ u4, succ u2} σ S₁ S₂ (FunLike.coe.{max (succ u4) (succ u2), succ u4, succ u2} (RingHom.{u4, u2} S₁ S₂ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_3))) S₁ (fun (_x : S₁) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : S₁) => S₂) _x) (MulHomClass.toFunLike.{max u4 u2, u4, u2} (RingHom.{u4, u2} S₁ S₂ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_3))) S₁ S₂ (NonUnitalNonAssocSemiring.toMul.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))) (NonUnitalNonAssocSemiring.toMul.{u2} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S₂ (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_3)))) (NonUnitalRingHomClass.toMulHomClass.{max u4 u2, u4, u2} (RingHom.{u4, u2} S₁ S₂ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_3))) S₁ S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S₂ (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_3))) (RingHomClass.toNonUnitalRingHomClass.{max u4 u2, u4, u2} (RingHom.{u4, u2} S₁ S₂ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_3))) S₁ S₂ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_3)) (RingHom.instRingHomClassRingHom.{u4, u2} S₁ S₂ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_3)))))) k) g) (FunLike.coe.{max (max (succ u3) (succ u4)) (succ u1), max (succ u3) (succ u1), max (succ u4) (succ u1)} (RingHom.{max u3 u1, max u4 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.{u1, u4} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u4, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u3} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u3} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u3} σ R _inst_1) => MvPolynomial.{u1, u4} σ S₁ _inst_2) _x) (MulHomClass.toFunLike.{max (max u3 u4) u1, max u3 u1, max u4 u1} (RingHom.{max u3 u1, max u4 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.{u1, u4} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u4, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.{u1, u4} σ S₁ _inst_2) (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{max u4 u1} (MvPolynomial.{u1, u4} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u4, u1} S₁ σ _inst_2))))) (NonUnitalRingHomClass.toMulHomClass.{max (max u3 u4) u1, max u3 u1, max u4 u1} (RingHom.{max u3 u1, max u4 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.{u1, u4} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u4, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.{u1, u4} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u4, u1} S₁ σ _inst_2)))) (RingHomClass.toNonUnitalRingHomClass.{max (max u3 u4) u1, max u3 u1, max u4 u1} (RingHom.{max u3 u1, max u4 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.{u1, u4} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u4, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.{u1, u4} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u4, u1} S₁ σ _inst_2))) (RingHom.instRingHomClassRingHom.{max u3 u1, max u4 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.{u1, u4} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u4, u1} S₁ σ _inst_2))))))) (MvPolynomial.map.{u3, u4, u1} R S₁ σ _inst_1 _inst_2 f) p))
+<too large>
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval₂_comp_right MvPolynomial.eval₂_comp_rightₓ'. -/
 theorem eval₂_comp_right {S₂} [CommSemiring S₂] (k : S₁ →+* S₂) (f : R →+* S₁) (g : σ → S₁) (p) :
     k (eval₂ f g p) = eval₂ k (k ∘ g) (map f p) :=
@@ -2223,10 +2052,7 @@ theorem eval₂_comp_right {S₂} [CommSemiring S₂] (k : S₁ →+* S₂) (f :
 #align mv_polynomial.eval₂_comp_right MvPolynomial.eval₂_comp_right
 
 /- warning: mv_polynomial.map_eval₂ -> MvPolynomial.map_eval₂ is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {S₁ : Type.{u2}} {S₂ : Type.{u3}} {S₃ : Type.{u4}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] (f : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (g : S₂ -> (MvPolynomial.{u4, u1} S₃ R _inst_1)) (p : MvPolynomial.{u3, u1} S₂ R _inst_1), Eq.{max (succ u4) (succ u2)} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (coeFn.{max (succ (max u4 u1)) (succ (max u4 u2)), max (succ (max u4 u1)) (succ (max u4 u2))} (RingHom.{max u4 u1, max u4 u2} (MvPolynomial.{u4, u1} S₃ R _inst_1) (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u4, u1} S₃ R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u4, u1} S₃ R _inst_1) (MvPolynomial.commSemiring.{u1, u4} R S₃ _inst_1))) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u4} S₁ S₃ _inst_2)))) (fun (_x : RingHom.{max u4 u1, max u4 u2} (MvPolynomial.{u4, u1} S₃ R _inst_1) (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u4, u1} S₃ R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u4, u1} S₃ R _inst_1) (MvPolynomial.commSemiring.{u1, u4} R S₃ _inst_1))) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u4} S₁ S₃ _inst_2)))) => (MvPolynomial.{u4, u1} S₃ R _inst_1) -> (MvPolynomial.{u4, u2} S₃ S₁ _inst_2)) (RingHom.hasCoeToFun.{max u4 u1, max u4 u2} (MvPolynomial.{u4, u1} S₃ R _inst_1) (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u4, u1} S₃ R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u4, u1} S₃ R _inst_1) (MvPolynomial.commSemiring.{u1, u4} R S₃ _inst_1))) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u4} S₁ S₃ _inst_2)))) (MvPolynomial.map.{u1, u2, u4} R S₁ S₃ _inst_1 _inst_2 f) (MvPolynomial.eval₂.{u1, max u4 u1, u3} R (MvPolynomial.{u4, u1} S₃ R _inst_1) S₂ _inst_1 (MvPolynomial.commSemiring.{u1, u4} R S₃ _inst_1) (MvPolynomial.C.{u1, u4} R S₃ _inst_1) g p)) (MvPolynomial.eval₂.{u2, max u4 u2, u3} S₁ (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) S₂ _inst_2 (MvPolynomial.commSemiring.{u2, u4} S₁ S₃ _inst_2) (MvPolynomial.C.{u2, u4} S₁ S₃ _inst_2) (Function.comp.{succ u3, max (succ u4) (succ u1), max (succ u4) (succ u2)} S₂ (MvPolynomial.{u4, u1} S₃ R _inst_1) (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (coeFn.{max (succ (max u4 u1)) (succ (max u4 u2)), max (succ (max u4 u1)) (succ (max u4 u2))} (RingHom.{max u4 u1, max u4 u2} (MvPolynomial.{u4, u1} S₃ R _inst_1) (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u4, u1} S₃ R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u4, u1} S₃ R _inst_1) (MvPolynomial.commSemiring.{u1, u4} R S₃ _inst_1))) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u4} S₁ S₃ _inst_2)))) (fun (_x : RingHom.{max u4 u1, max u4 u2} (MvPolynomial.{u4, u1} S₃ R _inst_1) (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u4, u1} S₃ R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u4, u1} S₃ R _inst_1) (MvPolynomial.commSemiring.{u1, u4} R S₃ _inst_1))) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u4} S₁ S₃ _inst_2)))) => (MvPolynomial.{u4, u1} S₃ R _inst_1) -> (MvPolynomial.{u4, u2} S₃ S₁ _inst_2)) (RingHom.hasCoeToFun.{max u4 u1, max u4 u2} (MvPolynomial.{u4, u1} S₃ R _inst_1) (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u4, u1} S₃ R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u4, u1} S₃ R _inst_1) (MvPolynomial.commSemiring.{u1, u4} R S₃ _inst_1))) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u4} S₁ S₃ _inst_2)))) (MvPolynomial.map.{u1, u2, u4} R S₁ S₃ _inst_1 _inst_2 f)) g) (coeFn.{max (succ (max u3 u1)) (succ (max u3 u2)), max (succ (max u3 u1)) (succ (max u3 u2))} (RingHom.{max u3 u1, max u3 u2} (MvPolynomial.{u3, u1} S₂ R _inst_1) (MvPolynomial.{u3, u2} S₂ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} S₂ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} S₂ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R S₂ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} S₂ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} S₂ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ S₂ _inst_2)))) (fun (_x : RingHom.{max u3 u1, max u3 u2} (MvPolynomial.{u3, u1} S₂ R _inst_1) (MvPolynomial.{u3, u2} S₂ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} S₂ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} S₂ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R S₂ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} S₂ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} S₂ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ S₂ _inst_2)))) => (MvPolynomial.{u3, u1} S₂ R _inst_1) -> (MvPolynomial.{u3, u2} S₂ S₁ _inst_2)) (RingHom.hasCoeToFun.{max u3 u1, max u3 u2} (MvPolynomial.{u3, u1} S₂ R _inst_1) (MvPolynomial.{u3, u2} S₂ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} S₂ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} S₂ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R S₂ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} S₂ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} S₂ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ S₂ _inst_2)))) (MvPolynomial.map.{u1, u2, u3} R S₁ S₂ _inst_1 _inst_2 f) p))
-but is expected to have type
-  forall {R : Type.{u1}} {S₁ : Type.{u2}} {S₂ : Type.{u3}} {S₃ : Type.{u4}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] (f : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (g : S₂ -> (MvPolynomial.{u4, u1} S₃ R _inst_1)) (p : MvPolynomial.{u3, u1} S₂ R _inst_1), Eq.{max (succ u2) (succ u4)} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u4, u1} S₃ R _inst_1) => MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (MvPolynomial.eval₂.{u1, max u1 u4, u3} R (MvPolynomial.{u4, u1} S₃ R _inst_1) S₂ _inst_1 (MvPolynomial.commSemiring.{u1, u4} R S₃ _inst_1) (MvPolynomial.C.{u1, u4} R S₃ _inst_1) g p)) (FunLike.coe.{max (max (succ u1) (succ u2)) (succ u4), max (succ u1) (succ u4), max (succ u2) (succ u4)} (RingHom.{max u1 u4, max u2 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u1 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (CommSemiring.toSemiring.{max u1 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (MvPolynomial.commSemiring.{u1, u4} R S₃ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u4} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (CommSemiring.toSemiring.{max u2 u4} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u4} S₁ S₃ _inst_2)))) (MvPolynomial.{u4, u1} S₃ R _inst_1) (fun (_x : MvPolynomial.{u4, u1} S₃ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u4, u1} S₃ R _inst_1) => MvPolynomial.{u4, u2} S₃ S₁ _inst_2) _x) (MulHomClass.toFunLike.{max (max u1 u2) u4, max u1 u4, max u2 u4} (RingHom.{max u1 u4, max u2 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u1 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (CommSemiring.toSemiring.{max u1 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (MvPolynomial.commSemiring.{u1, u4} R S₃ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u4} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (CommSemiring.toSemiring.{max u2 u4} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u4} S₁ S₃ _inst_2)))) (MvPolynomial.{u4, u1} S₃ R _inst_1) (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (NonUnitalNonAssocSemiring.toMul.{max u1 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (CommSemiring.toSemiring.{max u1 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (MvPolynomial.commSemiring.{u1, u4} R S₃ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{max u2 u4} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u4} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u4} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (CommSemiring.toSemiring.{max u2 u4} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u4} S₁ S₃ _inst_2))))) (NonUnitalRingHomClass.toMulHomClass.{max (max u1 u2) u4, max u1 u4, max u2 u4} (RingHom.{max u1 u4, max u2 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u1 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (CommSemiring.toSemiring.{max u1 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (MvPolynomial.commSemiring.{u1, u4} R S₃ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u4} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (CommSemiring.toSemiring.{max u2 u4} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u4} S₁ S₃ _inst_2)))) (MvPolynomial.{u4, u1} S₃ R _inst_1) (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (CommSemiring.toSemiring.{max u1 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (MvPolynomial.commSemiring.{u1, u4} R S₃ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u4} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u4} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (CommSemiring.toSemiring.{max u2 u4} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u4} S₁ S₃ _inst_2)))) (RingHomClass.toNonUnitalRingHomClass.{max (max u1 u2) u4, max u1 u4, max u2 u4} (RingHom.{max u1 u4, max u2 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u1 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (CommSemiring.toSemiring.{max u1 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (MvPolynomial.commSemiring.{u1, u4} R S₃ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u4} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (CommSemiring.toSemiring.{max u2 u4} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u4} S₁ S₃ _inst_2)))) (MvPolynomial.{u4, u1} S₃ R _inst_1) (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u1 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (CommSemiring.toSemiring.{max u1 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (MvPolynomial.commSemiring.{u1, u4} R S₃ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u4} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (CommSemiring.toSemiring.{max u2 u4} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u4} S₁ S₃ _inst_2))) (RingHom.instRingHomClassRingHom.{max u1 u4, max u2 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u1 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (CommSemiring.toSemiring.{max u1 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (MvPolynomial.commSemiring.{u1, u4} R S₃ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u4} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (CommSemiring.toSemiring.{max u2 u4} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u4} S₁ S₃ _inst_2))))))) (MvPolynomial.map.{u1, u2, u4} R S₁ S₃ _inst_1 _inst_2 f) (MvPolynomial.eval₂.{u1, max u1 u4, u3} R (MvPolynomial.{u4, u1} S₃ R _inst_1) S₂ _inst_1 (MvPolynomial.commSemiring.{u1, u4} R S₃ _inst_1) (MvPolynomial.C.{u1, u4} R S₃ _inst_1) g p)) (MvPolynomial.eval₂.{u2, max u4 u2, u3} S₁ (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) S₂ _inst_2 (MvPolynomial.commSemiring.{u2, u4} S₁ S₃ _inst_2) (MvPolynomial.C.{u2, u4} S₁ S₃ _inst_2) (Function.comp.{succ u3, max (succ u1) (succ u4), max (succ u4) (succ u2)} S₂ (MvPolynomial.{u4, u1} S₃ R _inst_1) (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (FunLike.coe.{max (max (succ u1) (succ u2)) (succ u4), max (succ u1) (succ u4), max (succ u2) (succ u4)} (RingHom.{max u1 u4, max u2 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u1 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (CommSemiring.toSemiring.{max u1 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (MvPolynomial.commSemiring.{u1, u4} R S₃ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u4} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (CommSemiring.toSemiring.{max u2 u4} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u4} S₁ S₃ _inst_2)))) (MvPolynomial.{u4, u1} S₃ R _inst_1) (fun (_x : MvPolynomial.{u4, u1} S₃ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u4, u1} S₃ R _inst_1) => MvPolynomial.{u4, u2} S₃ S₁ _inst_2) _x) (MulHomClass.toFunLike.{max (max u1 u2) u4, max u1 u4, max u2 u4} (RingHom.{max u1 u4, max u2 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u1 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (CommSemiring.toSemiring.{max u1 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (MvPolynomial.commSemiring.{u1, u4} R S₃ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u4} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (CommSemiring.toSemiring.{max u2 u4} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u4} S₁ S₃ _inst_2)))) (MvPolynomial.{u4, u1} S₃ R _inst_1) (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (NonUnitalNonAssocSemiring.toMul.{max u1 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (CommSemiring.toSemiring.{max u1 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (MvPolynomial.commSemiring.{u1, u4} R S₃ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{max u2 u4} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u4} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u4} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (CommSemiring.toSemiring.{max u2 u4} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u4} S₁ S₃ _inst_2))))) (NonUnitalRingHomClass.toMulHomClass.{max (max u1 u2) u4, max u1 u4, max u2 u4} (RingHom.{max u1 u4, max u2 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u1 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (CommSemiring.toSemiring.{max u1 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (MvPolynomial.commSemiring.{u1, u4} R S₃ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u4} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (CommSemiring.toSemiring.{max u2 u4} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u4} S₁ S₃ _inst_2)))) (MvPolynomial.{u4, u1} S₃ R _inst_1) (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (CommSemiring.toSemiring.{max u1 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (MvPolynomial.commSemiring.{u1, u4} R S₃ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u4} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u4} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (CommSemiring.toSemiring.{max u2 u4} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u4} S₁ S₃ _inst_2)))) (RingHomClass.toNonUnitalRingHomClass.{max (max u1 u2) u4, max u1 u4, max u2 u4} (RingHom.{max u1 u4, max u2 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u1 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (CommSemiring.toSemiring.{max u1 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (MvPolynomial.commSemiring.{u1, u4} R S₃ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u4} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (CommSemiring.toSemiring.{max u2 u4} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u4} S₁ S₃ _inst_2)))) (MvPolynomial.{u4, u1} S₃ R _inst_1) (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u1 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (CommSemiring.toSemiring.{max u1 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (MvPolynomial.commSemiring.{u1, u4} R S₃ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u4} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (CommSemiring.toSemiring.{max u2 u4} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u4} S₁ S₃ _inst_2))) (RingHom.instRingHomClassRingHom.{max u1 u4, max u2 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u1 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (CommSemiring.toSemiring.{max u1 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (MvPolynomial.commSemiring.{u1, u4} R S₃ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u4} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (CommSemiring.toSemiring.{max u2 u4} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u4} S₁ S₃ _inst_2))))))) (MvPolynomial.map.{u1, u2, u4} R S₁ S₃ _inst_1 _inst_2 f)) g) (FunLike.coe.{max (max (succ u1) (succ u2)) (succ u3), max (succ u1) (succ u3), max (succ u2) (succ u3)} (RingHom.{max u1 u3, max u2 u3} (MvPolynomial.{u3, u1} S₂ R _inst_1) (MvPolynomial.{u3, u2} S₂ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u3, u1} S₂ R _inst_1) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u3, u1} S₂ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R S₂ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} S₂ S₁ _inst_2) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u3, u2} S₂ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ S₂ _inst_2)))) (MvPolynomial.{u3, u1} S₂ R _inst_1) (fun (_x : MvPolynomial.{u3, u1} S₂ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u3, u1} S₂ R _inst_1) => MvPolynomial.{u3, u2} S₂ S₁ _inst_2) _x) (MulHomClass.toFunLike.{max (max u1 u2) u3, max u1 u3, max u2 u3} (RingHom.{max u1 u3, max u2 u3} (MvPolynomial.{u3, u1} S₂ R _inst_1) (MvPolynomial.{u3, u2} S₂ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u3, u1} S₂ R _inst_1) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u3, u1} S₂ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R S₂ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} S₂ S₁ _inst_2) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u3, u2} S₂ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ S₂ _inst_2)))) (MvPolynomial.{u3, u1} S₂ R _inst_1) (MvPolynomial.{u3, u2} S₂ S₁ _inst_2) (NonUnitalNonAssocSemiring.toMul.{max u1 u3} (MvPolynomial.{u3, u1} S₂ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u3, u1} S₂ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u3, u1} S₂ R _inst_1) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u3, u1} S₂ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R S₂ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{max u2 u3} (MvPolynomial.{u3, u2} S₂ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} S₂ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} S₂ S₁ _inst_2) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u3, u2} S₂ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ S₂ _inst_2))))) (NonUnitalRingHomClass.toMulHomClass.{max (max u1 u2) u3, max u1 u3, max u2 u3} (RingHom.{max u1 u3, max u2 u3} (MvPolynomial.{u3, u1} S₂ R _inst_1) (MvPolynomial.{u3, u2} S₂ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u3, u1} S₂ R _inst_1) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u3, u1} S₂ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R S₂ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} S₂ S₁ _inst_2) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u3, u2} S₂ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ S₂ _inst_2)))) (MvPolynomial.{u3, u1} S₂ R _inst_1) (MvPolynomial.{u3, u2} S₂ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u3, u1} S₂ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u3, u1} S₂ R _inst_1) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u3, u1} S₂ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R S₂ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} S₂ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} S₂ S₁ _inst_2) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u3, u2} S₂ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ S₂ _inst_2)))) (RingHomClass.toNonUnitalRingHomClass.{max (max u1 u2) u3, max u1 u3, max u2 u3} (RingHom.{max u1 u3, max u2 u3} (MvPolynomial.{u3, u1} S₂ R _inst_1) (MvPolynomial.{u3, u2} S₂ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u3, u1} S₂ R _inst_1) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u3, u1} S₂ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R S₂ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} S₂ S₁ _inst_2) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u3, u2} S₂ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ S₂ _inst_2)))) (MvPolynomial.{u3, u1} S₂ R _inst_1) (MvPolynomial.{u3, u2} S₂ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u3, u1} S₂ R _inst_1) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u3, u1} S₂ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R S₂ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} S₂ S₁ _inst_2) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u3, u2} S₂ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ S₂ _inst_2))) (RingHom.instRingHomClassRingHom.{max u1 u3, max u2 u3} (MvPolynomial.{u3, u1} S₂ R _inst_1) (MvPolynomial.{u3, u2} S₂ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u3, u1} S₂ R _inst_1) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u3, u1} S₂ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R S₂ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} S₂ S₁ _inst_2) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u3, u2} S₂ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ S₂ _inst_2))))))) (MvPolynomial.map.{u1, u2, u3} R S₁ S₂ _inst_1 _inst_2 f) p))
+<too large>
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.map_eval₂ MvPolynomial.map_eval₂ₓ'. -/
 theorem map_eval₂ (f : R →+* S₁) (g : S₂ → MvPolynomial S₃ R) (p : MvPolynomial S₂ R) :
     map f (eval₂ C g p) = eval₂ C (map f ∘ g) (map f p) :=
@@ -2241,10 +2067,7 @@ theorem map_eval₂ (f : R →+* S₁) (g : S₂ → MvPolynomial S₃ R) (p : M
 #align mv_polynomial.map_eval₂ MvPolynomial.map_eval₂
 
 /- warning: mv_polynomial.coeff_map -> MvPolynomial.coeff_map is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {S₁ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] (f : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (p : MvPolynomial.{u3, u1} σ R _inst_1) (m : Finsupp.{u3, 0} σ Nat Nat.hasZero), Eq.{succ u2} S₁ (MvPolynomial.coeff.{u2, u3} S₁ σ _inst_2 m (coeFn.{max (succ (max u3 u1)) (succ (max u3 u2)), max (succ (max u3 u1)) (succ (max u3 u2))} (RingHom.{max u3 u1, max u3 u2} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))) (fun (_x : RingHom.{max u3 u1, max u3 u2} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))) => (MvPolynomial.{u3, u1} σ R _inst_1) -> (MvPolynomial.{u3, u2} σ S₁ _inst_2)) (RingHom.hasCoeToFun.{max u3 u1, max u3 u2} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))) (MvPolynomial.map.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 f) p)) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (fun (_x : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) => R -> S₁) (RingHom.hasCoeToFun.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) f (MvPolynomial.coeff.{u1, u3} R σ _inst_1 m p))
-but is expected to have type
-  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] (f : RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (p : MvPolynomial.{u1, u2} σ R _inst_1) (m : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)), Eq.{succ u3} S₁ (MvPolynomial.coeff.{u3, u1} S₁ σ _inst_2 m (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u2) (succ u1), max (succ u3) (succ u1)} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u3} σ S₁ _inst_2) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (RingHom.instRingHomClassRingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))))) (MvPolynomial.map.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f) p)) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) _x) (MulHomClass.toFunLike.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) f (MvPolynomial.coeff.{u2, u1} R σ _inst_1 m p))
+<too large>
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.coeff_map MvPolynomial.coeff_mapₓ'. -/
 theorem coeff_map (p : MvPolynomial σ R) : ∀ m : σ →₀ ℕ, coeff m (map f p) = f (coeff m p) := by
   classical
@@ -2267,10 +2090,7 @@ theorem coeff_map (p : MvPolynomial σ R) : ∀ m : σ →₀ ℕ, coeff m (map
 #align mv_polynomial.coeff_map MvPolynomial.coeff_map
 
 /- warning: mv_polynomial.map_injective -> MvPolynomial.map_injective is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {S₁ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] (f : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))), (Function.Injective.{succ u1, succ u2} R S₁ (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (fun (_x : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) => R -> S₁) (RingHom.hasCoeToFun.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) f)) -> (Function.Injective.{max (succ u3) (succ u1), max (succ u3) (succ u2)} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u2} σ S₁ _inst_2) (coeFn.{max (succ (max u3 u1)) (succ (max u3 u2)), max (succ (max u3 u1)) (succ (max u3 u2))} (RingHom.{max u3 u1, max u3 u2} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))) (fun (_x : RingHom.{max u3 u1, max u3 u2} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))) => (MvPolynomial.{u3, u1} σ R _inst_1) -> (MvPolynomial.{u3, u2} σ S₁ _inst_2)) (RingHom.hasCoeToFun.{max u3 u1, max u3 u2} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))) (MvPolynomial.map.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 f)))
-but is expected to have type
-  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] (f : RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))), (Function.Injective.{succ u2, succ u3} R S₁ (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) _x) (MulHomClass.toFunLike.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) f)) -> (Function.Injective.{max (succ u2) (succ u1), max (succ u3) (succ u1)} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u2) (succ u1), max (succ u3) (succ u1)} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u3} σ S₁ _inst_2) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (RingHom.instRingHomClassRingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))))) (MvPolynomial.map.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f)))
+<too large>
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.map_injective MvPolynomial.map_injectiveₓ'. -/
 theorem map_injective (hf : Function.Injective f) :
     Function.Injective (map f : MvPolynomial σ R → MvPolynomial σ S₁) :=
@@ -2282,10 +2102,7 @@ theorem map_injective (hf : Function.Injective f) :
 #align mv_polynomial.map_injective MvPolynomial.map_injective
 
 /- warning: mv_polynomial.map_surjective -> MvPolynomial.map_surjective is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {S₁ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] (f : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))), (Function.Surjective.{succ u1, succ u2} R S₁ (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (fun (_x : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) => R -> S₁) (RingHom.hasCoeToFun.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) f)) -> (Function.Surjective.{max (succ u3) (succ u1), max (succ u3) (succ u2)} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u2} σ S₁ _inst_2) (coeFn.{max (succ (max u3 u1)) (succ (max u3 u2)), max (succ (max u3 u1)) (succ (max u3 u2))} (RingHom.{max u3 u1, max u3 u2} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))) (fun (_x : RingHom.{max u3 u1, max u3 u2} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))) => (MvPolynomial.{u3, u1} σ R _inst_1) -> (MvPolynomial.{u3, u2} σ S₁ _inst_2)) (RingHom.hasCoeToFun.{max u3 u1, max u3 u2} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))) (MvPolynomial.map.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 f)))
-but is expected to have type
-  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] (f : RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))), (Function.Surjective.{succ u2, succ u3} R S₁ (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) _x) (MulHomClass.toFunLike.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) f)) -> (Function.Surjective.{max (succ u2) (succ u1), max (succ u3) (succ u1)} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u2) (succ u1), max (succ u3) (succ u1)} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u3} σ S₁ _inst_2) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (RingHom.instRingHomClassRingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))))) (MvPolynomial.map.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f)))
+<too large>
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.map_surjective MvPolynomial.map_surjectiveₓ'. -/
 theorem map_surjective (hf : Function.Surjective f) :
     Function.Surjective (map f : MvPolynomial σ R → MvPolynomial σ S₁) := fun p =>
@@ -2299,10 +2116,7 @@ theorem map_surjective (hf : Function.Surjective f) :
 #align mv_polynomial.map_surjective MvPolynomial.map_surjective
 
 /- warning: mv_polynomial.map_left_inverse -> MvPolynomial.map_leftInverse is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {S₁ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] {f : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))} {g : RingHom.{u2, u1} S₁ R (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))}, (Function.LeftInverse.{succ u2, succ u1} S₁ R (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (fun (_x : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) => R -> S₁) (RingHom.hasCoeToFun.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) f) (coeFn.{max (succ u2) (succ u1), max (succ u2) (succ u1)} (RingHom.{u2, u1} S₁ R (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (fun (_x : RingHom.{u2, u1} S₁ R (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) => S₁ -> R) (RingHom.hasCoeToFun.{u2, u1} S₁ R (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) g)) -> (Function.LeftInverse.{max (succ u3) (succ u2), max (succ u3) (succ u1)} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.{u3, u1} σ R _inst_1) (coeFn.{max (succ (max u3 u1)) (succ (max u3 u2)), max (succ (max u3 u1)) (succ (max u3 u2))} (RingHom.{max u3 u1, max u3 u2} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))) (fun (_x : RingHom.{max u3 u1, max u3 u2} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))) => (MvPolynomial.{u3, u1} σ R _inst_1) -> (MvPolynomial.{u3, u2} σ S₁ _inst_2)) (RingHom.hasCoeToFun.{max u3 u1, max u3 u2} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))) (MvPolynomial.map.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 f)) (coeFn.{max (succ (max u3 u2)) (succ (max u3 u1)), max (succ (max u3 u2)) (succ (max u3 u1))} (RingHom.{max u3 u2, max u3 u1} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)))) (fun (_x : RingHom.{max u3 u2, max u3 u1} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)))) => (MvPolynomial.{u3, u2} σ S₁ _inst_2) -> (MvPolynomial.{u3, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{max u3 u2, max u3 u1} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)))) (MvPolynomial.map.{u2, u1, u3} S₁ R σ _inst_2 _inst_1 g)))
-but is expected to have type
-  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] {f : RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))} {g : RingHom.{u3, u2} S₁ R (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))}, (Function.LeftInverse.{succ u3, succ u2} S₁ R (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) _x) (MulHomClass.toFunLike.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) f) (FunLike.coe.{max (succ u2) (succ u3), succ u3, succ u2} (RingHom.{u3, u2} S₁ R (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) S₁ (fun (_x : S₁) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : S₁) => R) _x) (MulHomClass.toFunLike.{max u2 u3, u3, u2} (RingHom.{u3, u2} S₁ R (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) S₁ R (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u3, u3, u2} (RingHom.{u3, u2} S₁ R (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) S₁ R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u3, u3, u2} (RingHom.{u3, u2} S₁ R (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) S₁ R (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (RingHom.instRingHomClassRingHom.{u3, u2} S₁ R (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))))) g)) -> (Function.LeftInverse.{max (succ u3) (succ u1), max (succ u2) (succ u1)} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.{u1, u2} σ R _inst_1) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u2) (succ u1), max (succ u3) (succ u1)} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u3} σ S₁ _inst_2) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (RingHom.instRingHomClassRingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))))) (MvPolynomial.map.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f)) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u3) (succ u1), max (succ u2) (succ u1)} (RingHom.{max u3 u1, max u2 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (fun (_x : MvPolynomial.{u1, u3} σ S₁ _inst_2) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u3} σ S₁ _inst_2) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, max u3 u1, max u2 u1} (RingHom.{max u3 u1, max u2 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, max u3 u1, max u2 u1} (RingHom.{max u3 u1, max u2 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, max u3 u1, max u2 u1} (RingHom.{max u3 u1, max u2 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{max u3 u1, max u2 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.map.{u3, u2, u1} S₁ R σ _inst_2 _inst_1 g)))
+<too large>
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.map_left_inverse MvPolynomial.map_leftInverseₓ'. -/
 /-- If `f` is a left-inverse of `g` then `map f` is a left-inverse of `map g`. -/
 theorem map_leftInverse {f : R →+* S₁} {g : S₁ →+* R} (hf : Function.LeftInverse f g) :
@@ -2311,10 +2125,7 @@ theorem map_leftInverse {f : R →+* S₁} {g : S₁ →+* R} (hf : Function.Lef
 #align mv_polynomial.map_left_inverse MvPolynomial.map_leftInverse
 
 /- warning: mv_polynomial.map_right_inverse -> MvPolynomial.map_rightInverse is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {S₁ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] {f : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))} {g : RingHom.{u2, u1} S₁ R (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))}, (Function.RightInverse.{succ u2, succ u1} S₁ R (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (fun (_x : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) => R -> S₁) (RingHom.hasCoeToFun.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) f) (coeFn.{max (succ u2) (succ u1), max (succ u2) (succ u1)} (RingHom.{u2, u1} S₁ R (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (fun (_x : RingHom.{u2, u1} S₁ R (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) => S₁ -> R) (RingHom.hasCoeToFun.{u2, u1} S₁ R (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) g)) -> (Function.RightInverse.{max (succ u3) (succ u2), max (succ u3) (succ u1)} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.{u3, u1} σ R _inst_1) (coeFn.{max (succ (max u3 u1)) (succ (max u3 u2)), max (succ (max u3 u1)) (succ (max u3 u2))} (RingHom.{max u3 u1, max u3 u2} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))) (fun (_x : RingHom.{max u3 u1, max u3 u2} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))) => (MvPolynomial.{u3, u1} σ R _inst_1) -> (MvPolynomial.{u3, u2} σ S₁ _inst_2)) (RingHom.hasCoeToFun.{max u3 u1, max u3 u2} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))) (MvPolynomial.map.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 f)) (coeFn.{max (succ (max u3 u2)) (succ (max u3 u1)), max (succ (max u3 u2)) (succ (max u3 u1))} (RingHom.{max u3 u2, max u3 u1} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)))) (fun (_x : RingHom.{max u3 u2, max u3 u1} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)))) => (MvPolynomial.{u3, u2} σ S₁ _inst_2) -> (MvPolynomial.{u3, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{max u3 u2, max u3 u1} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)))) (MvPolynomial.map.{u2, u1, u3} S₁ R σ _inst_2 _inst_1 g)))
-but is expected to have type
-  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] {f : RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))} {g : RingHom.{u3, u2} S₁ R (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))}, (Function.RightInverse.{succ u3, succ u2} S₁ R (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) _x) (MulHomClass.toFunLike.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) f) (FunLike.coe.{max (succ u2) (succ u3), succ u3, succ u2} (RingHom.{u3, u2} S₁ R (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) S₁ (fun (_x : S₁) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : S₁) => R) _x) (MulHomClass.toFunLike.{max u2 u3, u3, u2} (RingHom.{u3, u2} S₁ R (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) S₁ R (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u3, u3, u2} (RingHom.{u3, u2} S₁ R (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) S₁ R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u3, u3, u2} (RingHom.{u3, u2} S₁ R (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) S₁ R (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (RingHom.instRingHomClassRingHom.{u3, u2} S₁ R (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))))) g)) -> (Function.RightInverse.{max (succ u3) (succ u1), max (succ u2) (succ u1)} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.{u1, u2} σ R _inst_1) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u2) (succ u1), max (succ u3) (succ u1)} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u3} σ S₁ _inst_2) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (RingHom.instRingHomClassRingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))))) (MvPolynomial.map.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f)) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u3) (succ u1), max (succ u2) (succ u1)} (RingHom.{max u3 u1, max u2 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (fun (_x : MvPolynomial.{u1, u3} σ S₁ _inst_2) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u3} σ S₁ _inst_2) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, max u3 u1, max u2 u1} (RingHom.{max u3 u1, max u2 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, max u3 u1, max u2 u1} (RingHom.{max u3 u1, max u2 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, max u3 u1, max u2 u1} (RingHom.{max u3 u1, max u2 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{max u3 u1, max u2 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.map.{u3, u2, u1} S₁ R σ _inst_2 _inst_1 g)))
+<too large>
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.map_right_inverse MvPolynomial.map_rightInverseₓ'. -/
 /-- If `f` is a right-inverse of `g` then `map f` is a right-inverse of `map g`. -/
 theorem map_rightInverse {f : R →+* S₁} {g : S₁ →+* R} (hf : Function.RightInverse f g) :
@@ -2323,10 +2134,7 @@ theorem map_rightInverse {f : R →+* S₁} {g : S₁ →+* R} (hf : Function.Ri
 #align mv_polynomial.map_right_inverse MvPolynomial.map_rightInverse
 
 /- warning: mv_polynomial.eval_map -> MvPolynomial.eval_map is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {S₁ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] (f : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (g : σ -> S₁) (p : MvPolynomial.{u3, u1} σ R _inst_1), Eq.{succ u2} S₁ (coeFn.{max (succ (max u3 u2)) (succ u2), max (succ (max u3 u2)) (succ u2)} (RingHom.{max u3 u2, u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (fun (_x : RingHom.{max u3 u2, u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) => (MvPolynomial.{u3, u2} σ S₁ _inst_2) -> S₁) (RingHom.hasCoeToFun.{max u3 u2, u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (MvPolynomial.eval.{u2, u3} S₁ σ _inst_2 g) (coeFn.{max (succ (max u3 u1)) (succ (max u3 u2)), max (succ (max u3 u1)) (succ (max u3 u2))} (RingHom.{max u3 u1, max u3 u2} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))) (fun (_x : RingHom.{max u3 u1, max u3 u2} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))) => (MvPolynomial.{u3, u1} σ R _inst_1) -> (MvPolynomial.{u3, u2} σ S₁ _inst_2)) (RingHom.hasCoeToFun.{max u3 u1, max u3 u2} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))) (MvPolynomial.map.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 f) p)) (MvPolynomial.eval₂.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 f g p)
-but is expected to have type
-  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] (f : RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (g : σ -> S₁) (p : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u3} σ S₁ _inst_2) => S₁) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u2) (succ u1), max (succ u3) (succ u1)} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (a : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u3} σ S₁ _inst_2) a) (MulHomClass.toFunLike.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (RingHom.instRingHomClassRingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))))) (MvPolynomial.map.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f) p)) (FunLike.coe.{max (succ u3) (succ u1), max (succ u3) (succ u1), succ u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (fun (_x : MvPolynomial.{u1, u3} σ S₁ _inst_2) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u3} σ S₁ _inst_2) => S₁) _x) (MulHomClass.toFunLike.{max u3 u1, max u3 u1, u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u3 u1, max u3 u1, u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u3 u1, max u3 u1, u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (MvPolynomial.eval.{u3, u1} S₁ σ _inst_2 g) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u2) (succ u1), max (succ u3) (succ u1)} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u3} σ S₁ _inst_2) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (RingHom.instRingHomClassRingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))))) (MvPolynomial.map.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f) p)) (MvPolynomial.eval₂.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f g p)
+<too large>
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval_map MvPolynomial.eval_mapₓ'. -/
 @[simp]
 theorem eval_map (f : R →+* S₁) (g : σ → S₁) (p : MvPolynomial σ R) :
@@ -2335,10 +2143,7 @@ theorem eval_map (f : R →+* S₁) (g : σ → S₁) (p : MvPolynomial σ R) :
 #align mv_polynomial.eval_map MvPolynomial.eval_map
 
 /- warning: mv_polynomial.eval₂_map -> MvPolynomial.eval₂_map is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {S₁ : Type.{u2}} {S₂ : Type.{u3}} {σ : Type.{u4}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] [_inst_3 : CommSemiring.{u3} S₂] (f : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (g : σ -> S₂) (φ : RingHom.{u2, u3} S₁ S₂ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_3))) (p : MvPolynomial.{u4, u1} σ R _inst_1), Eq.{succ u3} S₂ (MvPolynomial.eval₂.{u2, u3, u4} S₁ S₂ σ _inst_2 _inst_3 φ g (coeFn.{max (succ (max u4 u1)) (succ (max u4 u2)), max (succ (max u4 u1)) (succ (max u4 u2))} (RingHom.{max u4 u1, max u4 u2} (MvPolynomial.{u4, u1} σ R _inst_1) (MvPolynomial.{u4, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u4, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u4, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u4} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u4, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u4, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u4} S₁ σ _inst_2)))) (fun (_x : RingHom.{max u4 u1, max u4 u2} (MvPolynomial.{u4, u1} σ R _inst_1) (MvPolynomial.{u4, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u4, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u4, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u4} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u4, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u4, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u4} S₁ σ _inst_2)))) => (MvPolynomial.{u4, u1} σ R _inst_1) -> (MvPolynomial.{u4, u2} σ S₁ _inst_2)) (RingHom.hasCoeToFun.{max u4 u1, max u4 u2} (MvPolynomial.{u4, u1} σ R _inst_1) (MvPolynomial.{u4, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u4, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u4, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u4} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u4, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u4, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u4} S₁ σ _inst_2)))) (MvPolynomial.map.{u1, u2, u4} R S₁ σ _inst_1 _inst_2 f) p)) (MvPolynomial.eval₂.{u1, u3, u4} R S₂ σ _inst_1 _inst_3 (RingHom.comp.{u1, u2, u3} R S₁ S₂ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_3)) φ f) g p)
-but is expected to have type
-  forall {R : Type.{u2}} {S₁ : Type.{u3}} {S₂ : Type.{u4}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] [_inst_3 : CommSemiring.{u4} S₂] (f : RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (g : σ -> S₂) (φ : RingHom.{u3, u4} S₁ S₂ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))) (p : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{succ u4} S₂ (MvPolynomial.eval₂.{u3, u4, u1} S₁ S₂ σ _inst_2 _inst_3 φ g (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u2) (succ u1), max (succ u3) (succ u1)} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u3} σ S₁ _inst_2) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (RingHom.instRingHomClassRingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))))) (MvPolynomial.map.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f) p)) (MvPolynomial.eval₂.{u2, u4, u1} R S₂ σ _inst_1 _inst_3 (RingHom.comp.{u2, u3, u4} R S₁ S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3)) φ f) g p)
+<too large>
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval₂_map MvPolynomial.eval₂_mapₓ'. -/
 @[simp]
 theorem eval₂_map [CommSemiring S₂] (f : R →+* S₁) (g : σ → S₂) (φ : S₁ →+* S₂)
@@ -2347,10 +2152,7 @@ theorem eval₂_map [CommSemiring S₂] (f : R →+* S₁) (g : σ → S₂) (φ
 #align mv_polynomial.eval₂_map MvPolynomial.eval₂_map
 
 /- warning: mv_polynomial.eval₂_hom_map_hom -> MvPolynomial.eval₂Hom_map_hom is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {S₁ : Type.{u2}} {S₂ : Type.{u3}} {σ : Type.{u4}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] [_inst_3 : CommSemiring.{u3} S₂] (f : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (g : σ -> S₂) (φ : RingHom.{u2, u3} S₁ S₂ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_3))) (p : MvPolynomial.{u4, u1} σ R _inst_1), Eq.{succ u3} S₂ (coeFn.{max (succ (max u4 u2)) (succ u3), max (succ (max u4 u2)) (succ u3)} (RingHom.{max u4 u2, u3} (MvPolynomial.{u4, u2} σ S₁ _inst_2) S₂ (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u4, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u4, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u4} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_3))) (fun (_x : RingHom.{max u4 u2, u3} (MvPolynomial.{u4, u2} σ S₁ _inst_2) S₂ (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u4, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u4, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u4} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_3))) => (MvPolynomial.{u4, u2} σ S₁ _inst_2) -> S₂) (RingHom.hasCoeToFun.{max u4 u2, u3} (MvPolynomial.{u4, u2} σ S₁ _inst_2) S₂ (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u4, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u4, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u4} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_3))) (MvPolynomial.eval₂Hom.{u2, u3, u4} S₁ S₂ σ _inst_2 _inst_3 φ g) (coeFn.{max (succ (max u4 u1)) (succ (max u4 u2)), max (succ (max u4 u1)) (succ (max u4 u2))} (RingHom.{max u4 u1, max u4 u2} (MvPolynomial.{u4, u1} σ R _inst_1) (MvPolynomial.{u4, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u4, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u4, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u4} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u4, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u4, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u4} S₁ σ _inst_2)))) (fun (_x : RingHom.{max u4 u1, max u4 u2} (MvPolynomial.{u4, u1} σ R _inst_1) (MvPolynomial.{u4, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u4, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u4, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u4} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u4, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u4, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u4} S₁ σ _inst_2)))) => (MvPolynomial.{u4, u1} σ R _inst_1) -> (MvPolynomial.{u4, u2} σ S₁ _inst_2)) (RingHom.hasCoeToFun.{max u4 u1, max u4 u2} (MvPolynomial.{u4, u1} σ R _inst_1) (MvPolynomial.{u4, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u4, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u4, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u4} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u4, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u4, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u4} S₁ σ _inst_2)))) (MvPolynomial.map.{u1, u2, u4} R S₁ σ _inst_1 _inst_2 f) p)) (coeFn.{max (succ (max u4 u1)) (succ u3), max (succ (max u4 u1)) (succ u3)} (RingHom.{max u4 u1, u3} (MvPolynomial.{u4, u1} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u4, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u4, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u4} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_3))) (fun (_x : RingHom.{max u4 u1, u3} (MvPolynomial.{u4, u1} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u4, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u4, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u4} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_3))) => (MvPolynomial.{u4, u1} σ R _inst_1) -> S₂) (RingHom.hasCoeToFun.{max u4 u1, u3} (MvPolynomial.{u4, u1} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u4, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u4, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u4} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_3))) (MvPolynomial.eval₂Hom.{u1, u3, u4} R S₂ σ _inst_1 _inst_3 (RingHom.comp.{u1, u2, u3} R S₁ S₂ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_3)) φ f) g) p)
-but is expected to have type
-  forall {R : Type.{u2}} {S₁ : Type.{u3}} {S₂ : Type.{u4}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] [_inst_3 : CommSemiring.{u4} S₂] (f : RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (g : σ -> S₂) (φ : RingHom.{u3, u4} S₁ S₂ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))) (p : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u3} σ S₁ _inst_2) => S₂) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u2) (succ u1), max (succ u3) (succ u1)} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (a : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u3} σ S₁ _inst_2) a) (MulHomClass.toFunLike.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (RingHom.instRingHomClassRingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))))) (MvPolynomial.map.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f) p)) (FunLike.coe.{max (max (succ u3) (succ u4)) (succ u1), max (succ u3) (succ u1), succ u4} (RingHom.{max u3 u1, u4} (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₂ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (fun (_x : MvPolynomial.{u1, u3} σ S₁ _inst_2) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u3} σ S₁ _inst_2) => S₂) _x) (MulHomClass.toFunLike.{max (max u3 u4) u1, max u3 u1, u4} (RingHom.{max u3 u1, u4} (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₂ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))) (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₂ (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))) (NonUnitalNonAssocSemiring.toMul.{u4} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₂ (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3)))) (NonUnitalRingHomClass.toMulHomClass.{max (max u3 u4) u1, max u3 u1, u4} (RingHom.{max u3 u1, u4} (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₂ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))) (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₂ (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))) (RingHomClass.toNonUnitalRingHomClass.{max (max u3 u4) u1, max u3 u1, u4} (RingHom.{max u3 u1, u4} (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₂ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))) (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₂ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3)) (RingHom.instRingHomClassRingHom.{max u3 u1, u4} (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₂ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3)))))) (MvPolynomial.eval₂Hom.{u3, u4, u1} S₁ S₂ σ _inst_2 _inst_3 φ g) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u2) (succ u1), max (succ u3) (succ u1)} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u3} σ S₁ _inst_2) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (RingHom.instRingHomClassRingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))))) (MvPolynomial.map.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f) p)) (FunLike.coe.{max (max (succ u2) (succ u4)) (succ u1), max (succ u2) (succ u1), succ u4} (RingHom.{max u2 u1, u4} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => S₂) _x) (MulHomClass.toFunLike.{max (max u2 u4) u1, max u2 u1, u4} (RingHom.{max u2 u1, u4} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))) (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u4} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₂ (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3)))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u4) u1, max u2 u1, u4} (RingHom.{max u2 u1, u4} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))) (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₂ (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u4) u1, max u2 u1, u4} (RingHom.{max u2 u1, u4} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))) (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3)) (RingHom.instRingHomClassRingHom.{max u2 u1, u4} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3)))))) (MvPolynomial.eval₂Hom.{u2, u4, u1} R S₂ σ _inst_1 _inst_3 (RingHom.comp.{u2, u3, u4} R S₁ S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3)) φ f) g) p)
+<too large>
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval₂_hom_map_hom MvPolynomial.eval₂Hom_map_homₓ'. -/
 @[simp]
 theorem eval₂Hom_map_hom [CommSemiring S₂] (f : R →+* S₁) (g : σ → S₂) (φ : S₁ →+* S₂)
@@ -2359,10 +2161,7 @@ theorem eval₂Hom_map_hom [CommSemiring S₂] (f : R →+* S₁) (g : σ → S
 #align mv_polynomial.eval₂_hom_map_hom MvPolynomial.eval₂Hom_map_hom
 
 /- warning: mv_polynomial.constant_coeff_map -> MvPolynomial.constantCoeff_map is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {S₁ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] (f : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (φ : MvPolynomial.{u3, u1} σ R _inst_1), Eq.{succ u2} S₁ (coeFn.{max (succ (max u3 u2)) (succ u2), max (succ (max u3 u2)) (succ u2)} (RingHom.{max u3 u2, u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (fun (_x : RingHom.{max u3 u2, u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) => (MvPolynomial.{u3, u2} σ S₁ _inst_2) -> S₁) (RingHom.hasCoeToFun.{max u3 u2, u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (MvPolynomial.constantCoeff.{u2, u3} S₁ σ _inst_2) (coeFn.{max (succ (max u3 u1)) (succ (max u3 u2)), max (succ (max u3 u1)) (succ (max u3 u2))} (RingHom.{max u3 u1, max u3 u2} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))) (fun (_x : RingHom.{max u3 u1, max u3 u2} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))) => (MvPolynomial.{u3, u1} σ R _inst_1) -> (MvPolynomial.{u3, u2} σ S₁ _inst_2)) (RingHom.hasCoeToFun.{max u3 u1, max u3 u2} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))) (MvPolynomial.map.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 f) φ)) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (fun (_x : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) => R -> S₁) (RingHom.hasCoeToFun.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) f (coeFn.{max (succ (max u3 u1)) (succ u1), max (succ (max u3 u1)) (succ u1)} (RingHom.{max u3 u1, u1} (MvPolynomial.{u3, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (fun (_x : RingHom.{max u3 u1, u1} (MvPolynomial.{u3, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) => (MvPolynomial.{u3, u1} σ R _inst_1) -> R) (RingHom.hasCoeToFun.{max u3 u1, u1} (MvPolynomial.{u3, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.constantCoeff.{u1, u3} R σ _inst_1) φ))
-but is expected to have type
-  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] (f : RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (φ : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u3} σ S₁ _inst_2) => S₁) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u2) (succ u1), max (succ u3) (succ u1)} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (a : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u3} σ S₁ _inst_2) a) (MulHomClass.toFunLike.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (RingHom.instRingHomClassRingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))))) (MvPolynomial.map.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f) φ)) (FunLike.coe.{max (succ u1) (succ u3), max (succ u1) (succ u3), succ u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (fun (_x : MvPolynomial.{u1, u3} σ S₁ _inst_2) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u3} σ S₁ _inst_2) => S₁) _x) (MulHomClass.toFunLike.{max u1 u3, max u1 u3, u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (NonUnitalNonAssocSemiring.toMul.{max u1 u3} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u3, max u1 u3, u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u3, max u1 u3, u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{max u1 u3, u3} (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (MvPolynomial.constantCoeff.{u3, u1} S₁ σ _inst_2) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u2) (succ u1), max (succ u3) (succ u1)} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u3} σ S₁ _inst_2) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (RingHom.instRingHomClassRingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))))) (MvPolynomial.map.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f) φ)) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) _x) (MulHomClass.toFunLike.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) f (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), succ u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) _x) (MulHomClass.toFunLike.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (RingHom.instRingHomClassRingHom.{max u1 u2, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))))) (MvPolynomial.constantCoeff.{u2, u1} R σ _inst_1) φ))
+<too large>
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.constant_coeff_map MvPolynomial.constantCoeff_mapₓ'. -/
 @[simp]
 theorem constantCoeff_map (f : R →+* S₁) (φ : MvPolynomial σ R) :
@@ -2400,10 +2199,7 @@ theorem support_map_subset (p : MvPolynomial σ R) : (map f p).support ⊆ p.sup
 #align mv_polynomial.support_map_subset MvPolynomial.support_map_subset
 
 /- warning: mv_polynomial.support_map_of_injective -> MvPolynomial.support_map_of_injective is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {S₁ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] (p : MvPolynomial.{u3, u1} σ R _inst_1) {f : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))}, (Function.Injective.{succ u1, succ u2} R S₁ (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (fun (_x : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) => R -> S₁) (RingHom.hasCoeToFun.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) f)) -> (Eq.{succ u3} (Finset.{u3} (Finsupp.{u3, 0} σ Nat Nat.hasZero)) (MvPolynomial.support.{u2, u3} S₁ σ _inst_2 (coeFn.{max (succ (max u3 u1)) (succ (max u3 u2)), max (succ (max u3 u1)) (succ (max u3 u2))} (RingHom.{max u3 u1, max u3 u2} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))) (fun (_x : RingHom.{max u3 u1, max u3 u2} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))) => (MvPolynomial.{u3, u1} σ R _inst_1) -> (MvPolynomial.{u3, u2} σ S₁ _inst_2)) (RingHom.hasCoeToFun.{max u3 u1, max u3 u2} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))) (MvPolynomial.map.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 f) p)) (MvPolynomial.support.{u1, u3} R σ _inst_1 p))
-but is expected to have type
-  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] (p : MvPolynomial.{u1, u2} σ R _inst_1) {f : RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))}, (Function.Injective.{succ u2, succ u3} R S₁ (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) _x) (MulHomClass.toFunLike.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) f)) -> (Eq.{succ u1} (Finset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (MvPolynomial.support.{u3, u1} S₁ σ _inst_2 (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u2) (succ u1), max (succ u3) (succ u1)} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u3} σ S₁ _inst_2) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (RingHom.instRingHomClassRingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))))) (MvPolynomial.map.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f) p)) (MvPolynomial.support.{u2, u1} R σ _inst_1 p))
+<too large>
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.support_map_of_injective MvPolynomial.support_map_of_injectiveₓ'. -/
 theorem support_map_of_injective (p : MvPolynomial σ R) {f : R →+* S₁} (hf : Injective f) :
     (map f p).support = p.support :=
@@ -2420,10 +2216,7 @@ theorem support_map_of_injective (p : MvPolynomial σ R) {f : R →+* S₁} (hf
 #align mv_polynomial.support_map_of_injective MvPolynomial.support_map_of_injective
 
 /- warning: mv_polynomial.C_dvd_iff_map_hom_eq_zero -> MvPolynomial.C_dvd_iff_map_hom_eq_zero is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {S₁ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] (q : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (r : R), (forall (r' : R), Iff (Eq.{succ u2} S₁ (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (fun (_x : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) => R -> S₁) (RingHom.hasCoeToFun.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) q r') (OfNat.ofNat.{u2} S₁ 0 (OfNat.mk.{u2} S₁ 0 (Zero.zero.{u2} S₁ (MulZeroClass.toHasZero.{u2} S₁ (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S₁ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))))))))) (Dvd.Dvd.{u1} R (semigroupDvd.{u1} R (SemigroupWithZero.toSemigroup.{u1} R (NonUnitalSemiring.toSemigroupWithZero.{u1} R (NonUnitalCommSemiring.toNonUnitalSemiring.{u1} R (CommSemiring.toNonUnitalCommSemiring.{u1} R _inst_1))))) r r')) -> (forall (φ : MvPolynomial.{u3, u1} σ R _inst_1), Iff (Dvd.Dvd.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (semigroupDvd.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (SemigroupWithZero.toSemigroup.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonUnitalSemiring.toSemigroupWithZero.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonUnitalCommSemiring.toNonUnitalSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toNonUnitalCommSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)))))) (coeFn.{max (succ u1) (succ (max u3 u1)), max (succ u1) (succ (max u3 u1))} (RingHom.{u1, max u3 u1} R (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)))) (fun (_x : RingHom.{u1, max u3 u1} R (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)))) => R -> (MvPolynomial.{u3, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{u1, max u3 u1} R (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)))) (MvPolynomial.C.{u1, u3} R σ _inst_1) r) φ) (Eq.{max (succ u3) (succ u2)} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (coeFn.{max (succ (max u3 u1)) (succ (max u3 u2)), max (succ (max u3 u1)) (succ (max u3 u2))} (RingHom.{max u3 u1, max u3 u2} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))) (fun (_x : RingHom.{max u3 u1, max u3 u2} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))) => (MvPolynomial.{u3, u1} σ R _inst_1) -> (MvPolynomial.{u3, u2} σ S₁ _inst_2)) (RingHom.hasCoeToFun.{max u3 u1, max u3 u2} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))) (MvPolynomial.map.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 q) φ) (OfNat.ofNat.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) 0 (OfNat.mk.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) 0 (Zero.zero.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MulZeroClass.toHasZero.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (NonUnitalNonAssocSemiring.toMulZeroClass.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))))))))))
-but is expected to have type
-  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] (q : RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (r : R), (forall (r' : R), Iff (Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r') (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) _x) (MulHomClass.toFunLike.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) q r') (OfNat.ofNat.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r') 0 (Zero.toOfNat0.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r') (CommMonoidWithZero.toZero.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r') (CommSemiring.toCommMonoidWithZero.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r') _inst_2))))) (Dvd.dvd.{u2} R (semigroupDvd.{u2} R (SemigroupWithZero.toSemigroup.{u2} R (NonUnitalSemiring.toSemigroupWithZero.{u2} R (NonUnitalCommSemiring.toNonUnitalSemiring.{u2} R (CommSemiring.toNonUnitalCommSemiring.{u2} R _inst_1))))) r r')) -> (forall (φ : MvPolynomial.{u1, u2} σ R _inst_1), Iff (Dvd.dvd.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) r) (semigroupDvd.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) r) (SemigroupWithZero.toSemigroup.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) r) (NonUnitalSemiring.toSemigroupWithZero.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) r) (NonUnitalCommSemiring.toNonUnitalSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) r) (CommSemiring.toNonUnitalCommSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) r) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) r) φ) (Eq.{max (succ u3) (succ u1)} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u3} σ S₁ _inst_2) φ) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u2) (succ u1), max (succ u3) (succ u1)} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u3} σ S₁ _inst_2) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (RingHom.instRingHomClassRingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))))) (MvPolynomial.map.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 q) φ) (OfNat.ofNat.{max u3 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u3} σ S₁ _inst_2) φ) 0 (Zero.toOfNat0.{max u3 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u3} σ S₁ _inst_2) φ) (CommMonoidWithZero.toZero.{max u3 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u3} σ S₁ _inst_2) φ) (CommSemiring.toCommMonoidWithZero.{max u3 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u3} σ S₁ _inst_2) φ) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))))))
+<too large>
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.C_dvd_iff_map_hom_eq_zero MvPolynomial.C_dvd_iff_map_hom_eq_zeroₓ'. -/
 theorem C_dvd_iff_map_hom_eq_zero (q : R →+* S₁) (r : R) (hr : ∀ r' : R, q r' = 0 ↔ r ∣ r')
     (φ : MvPolynomial σ R) : C r ∣ φ ↔ map q φ = 0 :=
@@ -2433,10 +2226,7 @@ theorem C_dvd_iff_map_hom_eq_zero (q : R →+* S₁) (r : R) (hr : ∀ r' : R, q
 #align mv_polynomial.C_dvd_iff_map_hom_eq_zero MvPolynomial.C_dvd_iff_map_hom_eq_zero
 
 /- warning: mv_polynomial.map_map_range_eq_iff -> MvPolynomial.map_mapRange_eq_iff is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {S₁ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] (f : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (g : S₁ -> R) (hg : Eq.{succ u1} R (g (OfNat.ofNat.{u2} S₁ 0 (OfNat.mk.{u2} S₁ 0 (Zero.zero.{u2} S₁ (MulZeroClass.toHasZero.{u2} S₁ (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S₁ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))))))) (φ : MvPolynomial.{u3, u2} σ S₁ _inst_2), Iff (Eq.{max (succ u3) (succ u2)} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (coeFn.{max (succ (max u3 u1)) (succ (max u3 u2)), max (succ (max u3 u1)) (succ (max u3 u2))} (RingHom.{max u3 u1, max u3 u2} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))) (fun (_x : RingHom.{max u3 u1, max u3 u2} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))) => (MvPolynomial.{u3, u1} σ R _inst_1) -> (MvPolynomial.{u3, u2} σ S₁ _inst_2)) (RingHom.hasCoeToFun.{max u3 u1, max u3 u2} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))) (MvPolynomial.map.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 f) (Finsupp.mapRange.{u3, u2, u1} (Finsupp.{u3, 0} σ Nat Nat.hasZero) S₁ R (MulZeroClass.toHasZero.{u2} S₁ (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S₁ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))))) (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) g hg φ)) φ) (forall (d : Finsupp.{u3, 0} σ Nat Nat.hasZero), Eq.{succ u2} S₁ (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (fun (_x : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) => R -> S₁) (RingHom.hasCoeToFun.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) f (g (MvPolynomial.coeff.{u2, u3} S₁ σ _inst_2 d φ))) (MvPolynomial.coeff.{u2, u3} S₁ σ _inst_2 d φ))
-but is expected to have type
-  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] (f : RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (g : S₁ -> R) (hg : Eq.{succ u2} R (g (OfNat.ofNat.{u3} S₁ 0 (Zero.toOfNat0.{u3} S₁ (CommMonoidWithZero.toZero.{u3} S₁ (CommSemiring.toCommMonoidWithZero.{u3} S₁ _inst_2))))) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))))) (φ : MvPolynomial.{u1, u3} σ S₁ _inst_2), Iff (Eq.{max (succ u3) (succ u1)} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u3} σ S₁ _inst_2) (Finsupp.mapRange.{u1, u3, u2} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) S₁ R (CommMonoidWithZero.toZero.{u3} S₁ (CommSemiring.toCommMonoidWithZero.{u3} S₁ _inst_2)) (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) g hg φ)) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u2) (succ u1), max (succ u3) (succ u1)} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u3} σ S₁ _inst_2) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (RingHom.instRingHomClassRingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))))) (MvPolynomial.map.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f) (Finsupp.mapRange.{u1, u3, u2} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) S₁ R (CommMonoidWithZero.toZero.{u3} S₁ (CommSemiring.toCommMonoidWithZero.{u3} S₁ _inst_2)) (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) g hg φ)) φ) (forall (d : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) (g (MvPolynomial.coeff.{u3, u1} S₁ σ _inst_2 d φ))) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) _x) (MulHomClass.toFunLike.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) f (g (MvPolynomial.coeff.{u3, u1} S₁ σ _inst_2 d φ))) (MvPolynomial.coeff.{u3, u1} S₁ σ _inst_2 d φ))
+<too large>
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.map_map_range_eq_iff MvPolynomial.map_mapRange_eq_iffₓ'. -/
 theorem map_mapRange_eq_iff (f : R →+* S₁) (g : S₁ → R) (hg : g 0 = 0) (φ : MvPolynomial σ S₁) :
     map f (Finsupp.mapRange g hg φ) = φ ↔ ∀ d, f (g (coeff d φ)) = coeff d φ :=
@@ -2476,10 +2266,7 @@ theorem mapAlgHom_id [Algebra R S₁] :
 #align mv_polynomial.map_alg_hom_id MvPolynomial.mapAlgHom_id
 
 /- warning: mv_polynomial.map_alg_hom_coe_ring_hom -> MvPolynomial.mapAlgHom_coe_ringHom is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {S₁ : Type.{u2}} {S₂ : Type.{u3}} {σ : Type.{u4}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] [_inst_3 : CommSemiring.{u3} S₂] [_inst_4 : Algebra.{u1, u2} R S₁ _inst_1 (CommSemiring.toSemiring.{u2} S₁ _inst_2)] [_inst_5 : Algebra.{u1, u3} R S₂ _inst_1 (CommSemiring.toSemiring.{u3} S₂ _inst_3)] (f : AlgHom.{u1, u2, u3} R S₁ S₂ _inst_1 (CommSemiring.toSemiring.{u2} S₁ _inst_2) (CommSemiring.toSemiring.{u3} S₂ _inst_3) _inst_4 _inst_5), Eq.{max (succ (max u4 u2)) (succ (max u4 u3))} (RingHom.{max u4 u2, max u4 u3} (MvPolynomial.{u4, u2} σ S₁ _inst_2) (MvPolynomial.{u4, u3} σ S₂ _inst_3) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u4, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u4, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u4} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{max u4 u3} (MvPolynomial.{u4, u3} σ S₂ _inst_3) (CommSemiring.toSemiring.{max u4 u3} (MvPolynomial.{u4, u3} σ S₂ _inst_3) (MvPolynomial.commSemiring.{u3, u4} S₂ σ _inst_3)))) ((fun (a : Sort.{max (succ (max u4 u2)) (succ (max u4 u3))}) (b : Sort.{max (succ (max u4 u2)) (succ (max u4 u3))}) [self : HasLiftT.{max (succ (max u4 u2)) (succ (max u4 u3)), max (succ (max u4 u2)) (succ (max u4 u3))} a b] => self.0) (AlgHom.{u1, max u4 u2, max u4 u3} R (MvPolynomial.{u4, u2} σ S₁ _inst_2) (MvPolynomial.{u4, u3} σ S₂ _inst_3) _inst_1 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u4, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u4} S₁ σ _inst_2)) (CommSemiring.toSemiring.{max u4 u3} (MvPolynomial.{u4, u3} σ S₂ _inst_3) (MvPolynomial.commSemiring.{u3, u4} S₂ σ _inst_3)) (MvPolynomial.algebra.{u1, u2, u4} R S₁ σ _inst_1 _inst_2 _inst_4) (MvPolynomial.algebra.{u1, u3, u4} R S₂ σ _inst_1 _inst_3 _inst_5)) (RingHom.{max u4 u2, max u4 u3} (MvPolynomial.{u4, u2} σ S₁ _inst_2) (MvPolynomial.{u4, u3} σ S₂ _inst_3) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u4, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u4, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u4} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{max u4 u3} (MvPolynomial.{u4, u3} σ S₂ _inst_3) (CommSemiring.toSemiring.{max u4 u3} (MvPolynomial.{u4, u3} σ S₂ _inst_3) (MvPolynomial.commSemiring.{u3, u4} S₂ σ _inst_3)))) (HasLiftT.mk.{max (succ (max u4 u2)) (succ (max u4 u3)), max (succ (max u4 u2)) (succ (max u4 u3))} (AlgHom.{u1, max u4 u2, max u4 u3} R (MvPolynomial.{u4, u2} σ S₁ _inst_2) (MvPolynomial.{u4, u3} σ S₂ _inst_3) _inst_1 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u4, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u4} S₁ σ _inst_2)) (CommSemiring.toSemiring.{max u4 u3} (MvPolynomial.{u4, u3} σ S₂ _inst_3) (MvPolynomial.commSemiring.{u3, u4} S₂ σ _inst_3)) (MvPolynomial.algebra.{u1, u2, u4} R S₁ σ _inst_1 _inst_2 _inst_4) (MvPolynomial.algebra.{u1, u3, u4} R S₂ σ _inst_1 _inst_3 _inst_5)) (RingHom.{max u4 u2, max u4 u3} (MvPolynomial.{u4, u2} σ S₁ _inst_2) (MvPolynomial.{u4, u3} σ S₂ _inst_3) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u4, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u4, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u4} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{max u4 u3} (MvPolynomial.{u4, u3} σ S₂ _inst_3) (CommSemiring.toSemiring.{max u4 u3} (MvPolynomial.{u4, u3} σ S₂ _inst_3) (MvPolynomial.commSemiring.{u3, u4} S₂ σ _inst_3)))) (CoeTCₓ.coe.{max (succ (max u4 u2)) (succ (max u4 u3)), max (succ (max u4 u2)) (succ (max u4 u3))} (AlgHom.{u1, max u4 u2, max u4 u3} R (MvPolynomial.{u4, u2} σ S₁ _inst_2) (MvPolynomial.{u4, u3} σ S₂ _inst_3) _inst_1 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u4, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u4} S₁ σ _inst_2)) (CommSemiring.toSemiring.{max u4 u3} (MvPolynomial.{u4, u3} σ S₂ _inst_3) (MvPolynomial.commSemiring.{u3, u4} S₂ σ _inst_3)) (MvPolynomial.algebra.{u1, u2, u4} R S₁ σ _inst_1 _inst_2 _inst_4) (MvPolynomial.algebra.{u1, u3, u4} R S₂ σ _inst_1 _inst_3 _inst_5)) (RingHom.{max u4 u2, max u4 u3} (MvPolynomial.{u4, u2} σ S₁ _inst_2) (MvPolynomial.{u4, u3} σ S₂ _inst_3) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u4, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u4, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u4} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{max u4 u3} (MvPolynomial.{u4, u3} σ S₂ _inst_3) (CommSemiring.toSemiring.{max u4 u3} (MvPolynomial.{u4, u3} σ S₂ _inst_3) (MvPolynomial.commSemiring.{u3, u4} S₂ σ _inst_3)))) (RingHom.hasCoeT.{max (max u4 u2) u4 u3, max u4 u2, max u4 u3} (AlgHom.{u1, max u4 u2, max u4 u3} R (MvPolynomial.{u4, u2} σ S₁ _inst_2) (MvPolynomial.{u4, u3} σ S₂ _inst_3) _inst_1 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u4, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u4} S₁ σ _inst_2)) (CommSemiring.toSemiring.{max u4 u3} (MvPolynomial.{u4, u3} σ S₂ _inst_3) (MvPolynomial.commSemiring.{u3, u4} S₂ σ _inst_3)) (MvPolynomial.algebra.{u1, u2, u4} R S₁ σ _inst_1 _inst_2 _inst_4) (MvPolynomial.algebra.{u1, u3, u4} R S₂ σ _inst_1 _inst_3 _inst_5)) (MvPolynomial.{u4, u2} σ S₁ _inst_2) (MvPolynomial.{u4, u3} σ S₂ _inst_3) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u4, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u4, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u4} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{max u4 u3} (MvPolynomial.{u4, u3} σ S₂ _inst_3) (CommSemiring.toSemiring.{max u4 u3} (MvPolynomial.{u4, u3} σ S₂ _inst_3) (MvPolynomial.commSemiring.{u3, u4} S₂ σ _inst_3))) (AlgHomClass.toRingHomClass.{max (max u4 u2) u4 u3, u1, max u4 u2, max u4 u3} (AlgHom.{u1, max u4 u2, max u4 u3} R (MvPolynomial.{u4, u2} σ S₁ _inst_2) (MvPolynomial.{u4, u3} σ S₂ _inst_3) _inst_1 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u4, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u4} S₁ σ _inst_2)) (CommSemiring.toSemiring.{max u4 u3} (MvPolynomial.{u4, u3} σ S₂ _inst_3) (MvPolynomial.commSemiring.{u3, u4} S₂ σ _inst_3)) (MvPolynomial.algebra.{u1, u2, u4} R S₁ σ _inst_1 _inst_2 _inst_4) (MvPolynomial.algebra.{u1, u3, u4} R S₂ σ _inst_1 _inst_3 _inst_5)) R (MvPolynomial.{u4, u2} σ S₁ _inst_2) (MvPolynomial.{u4, u3} σ S₂ _inst_3) _inst_1 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u4, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u4} S₁ σ _inst_2)) (CommSemiring.toSemiring.{max u4 u3} (MvPolynomial.{u4, u3} σ S₂ _inst_3) (MvPolynomial.commSemiring.{u3, u4} S₂ σ _inst_3)) (MvPolynomial.algebra.{u1, u2, u4} R S₁ σ _inst_1 _inst_2 _inst_4) (MvPolynomial.algebra.{u1, u3, u4} R S₂ σ _inst_1 _inst_3 _inst_5) (AlgHom.algHomClass.{u1, max u4 u2, max u4 u3} R (MvPolynomial.{u4, u2} σ S₁ _inst_2) (MvPolynomial.{u4, u3} σ S₂ _inst_3) _inst_1 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u4, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u4} S₁ σ _inst_2)) (CommSemiring.toSemiring.{max u4 u3} (MvPolynomial.{u4, u3} σ S₂ _inst_3) (MvPolynomial.commSemiring.{u3, u4} S₂ σ _inst_3)) (MvPolynomial.algebra.{u1, u2, u4} R S₁ σ _inst_1 _inst_2 _inst_4) (MvPolynomial.algebra.{u1, u3, u4} R S₂ σ _inst_1 _inst_3 _inst_5)))))) (MvPolynomial.mapAlgHom.{u1, u2, u3, u4} R S₁ S₂ σ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 f)) (MvPolynomial.map.{u2, u3, u4} S₁ S₂ σ _inst_2 _inst_3 ((fun (a : Sort.{max (succ u2) (succ u3)}) (b : Sort.{max (succ u2) (succ u3)}) [self : HasLiftT.{max (succ u2) (succ u3), max (succ u2) (succ u3)} a b] => self.0) (AlgHom.{u1, u2, u3} R S₁ S₂ _inst_1 (CommSemiring.toSemiring.{u2} S₁ _inst_2) (CommSemiring.toSemiring.{u3} S₂ _inst_3) _inst_4 _inst_5) (RingHom.{u2, u3} S₁ S₂ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_3))) (HasLiftT.mk.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (AlgHom.{u1, u2, u3} R S₁ S₂ _inst_1 (CommSemiring.toSemiring.{u2} S₁ _inst_2) (CommSemiring.toSemiring.{u3} S₂ _inst_3) _inst_4 _inst_5) (RingHom.{u2, u3} S₁ S₂ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_3))) (CoeTCₓ.coe.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (AlgHom.{u1, u2, u3} R S₁ S₂ _inst_1 (CommSemiring.toSemiring.{u2} S₁ _inst_2) (CommSemiring.toSemiring.{u3} S₂ _inst_3) _inst_4 _inst_5) (RingHom.{u2, u3} S₁ S₂ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_3))) (RingHom.hasCoeT.{max u2 u3, u2, u3} (AlgHom.{u1, u2, u3} R S₁ S₂ _inst_1 (CommSemiring.toSemiring.{u2} S₁ _inst_2) (CommSemiring.toSemiring.{u3} S₂ _inst_3) _inst_4 _inst_5) S₁ S₂ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_3)) (AlgHomClass.toRingHomClass.{max u2 u3, u1, u2, u3} (AlgHom.{u1, u2, u3} R S₁ S₂ _inst_1 (CommSemiring.toSemiring.{u2} S₁ _inst_2) (CommSemiring.toSemiring.{u3} S₂ _inst_3) _inst_4 _inst_5) R S₁ S₂ _inst_1 (CommSemiring.toSemiring.{u2} S₁ _inst_2) (CommSemiring.toSemiring.{u3} S₂ _inst_3) _inst_4 _inst_5 (AlgHom.algHomClass.{u1, u2, u3} R S₁ S₂ _inst_1 (CommSemiring.toSemiring.{u2} S₁ _inst_2) (CommSemiring.toSemiring.{u3} S₂ _inst_3) _inst_4 _inst_5))))) f))
-but is expected to have type
-  forall {R : Type.{u2}} {S₁ : Type.{u3}} {S₂ : Type.{u4}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] [_inst_3 : CommSemiring.{u4} S₂] [_inst_4 : Algebra.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2)] [_inst_5 : Algebra.{u2, u4} R S₂ _inst_1 (CommSemiring.toSemiring.{u4} S₂ _inst_3)] (f : AlgHom.{u2, u3, u4} R S₁ S₂ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) (CommSemiring.toSemiring.{u4} S₂ _inst_3) _inst_4 _inst_5), Eq.{max (max (succ u3) (succ u4)) (succ u1)} (RingHom.{max u3 u1, max u4 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.{u1, u4} σ S₂ _inst_3) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₂ _inst_3) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₂ _inst_3) (MvPolynomial.commSemiring.{u4, u1} S₂ σ _inst_3)))) (RingHomClass.toRingHom.{max (max u3 u4) u1, max u3 u1, max u4 u1} (AlgHom.{u2, max u3 u1, max u4 u1} R (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.{u1, u4} σ S₂ _inst_3) _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₂ _inst_3) (MvPolynomial.commSemiring.{u4, u1} S₂ σ _inst_3)) (MvPolynomial.algebra.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 _inst_4) (MvPolynomial.algebra.{u2, u4, u1} R S₂ σ _inst_1 _inst_3 _inst_5)) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.{u1, u4} σ S₂ _inst_3) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₂ _inst_3) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₂ _inst_3) (MvPolynomial.commSemiring.{u4, u1} S₂ σ _inst_3))) (AlgHomClass.toRingHomClass.{max (max u3 u4) u1, u2, max u3 u1, max u4 u1} (AlgHom.{u2, max u3 u1, max u4 u1} R (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.{u1, u4} σ S₂ _inst_3) _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₂ _inst_3) (MvPolynomial.commSemiring.{u4, u1} S₂ σ _inst_3)) (MvPolynomial.algebra.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 _inst_4) (MvPolynomial.algebra.{u2, u4, u1} R S₂ σ _inst_1 _inst_3 _inst_5)) R (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.{u1, u4} σ S₂ _inst_3) _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₂ _inst_3) (MvPolynomial.commSemiring.{u4, u1} S₂ σ _inst_3)) (MvPolynomial.algebra.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 _inst_4) (MvPolynomial.algebra.{u2, u4, u1} R S₂ σ _inst_1 _inst_3 _inst_5) (AlgHom.algHomClass.{u2, max u3 u1, max u4 u1} R (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.{u1, u4} σ S₂ _inst_3) _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₂ _inst_3) (MvPolynomial.commSemiring.{u4, u1} S₂ σ _inst_3)) (MvPolynomial.algebra.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 _inst_4) (MvPolynomial.algebra.{u2, u4, u1} R S₂ σ _inst_1 _inst_3 _inst_5))) (MvPolynomial.mapAlgHom.{u2, u3, u4, u1} R S₁ S₂ σ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 f)) (MvPolynomial.map.{u3, u4, u1} S₁ S₂ σ _inst_2 _inst_3 (RingHomClass.toRingHom.{max u3 u4, u3, u4} (AlgHom.{u2, u3, u4} R S₁ S₂ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) (CommSemiring.toSemiring.{u4} S₂ _inst_3) _inst_4 _inst_5) S₁ S₂ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3)) (AlgHomClass.toRingHomClass.{max u3 u4, u2, u3, u4} (AlgHom.{u2, u3, u4} R S₁ S₂ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) (CommSemiring.toSemiring.{u4} S₂ _inst_3) _inst_4 _inst_5) R S₁ S₂ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) (CommSemiring.toSemiring.{u4} S₂ _inst_3) _inst_4 _inst_5 (AlgHom.algHomClass.{u2, u3, u4} R S₁ S₂ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) (CommSemiring.toSemiring.{u4} S₂ _inst_3) _inst_4 _inst_5)) f))
+<too large>
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.map_alg_hom_coe_ring_hom MvPolynomial.mapAlgHom_coe_ringHomₓ'. -/
 @[simp]
 theorem mapAlgHom_coe_ringHom [CommSemiring S₂] [Algebra R S₁] [Algebra R S₂] (f : S₁ →ₐ[R] S₂) :
@@ -2500,10 +2287,7 @@ variable [Algebra R S₁] [CommSemiring S₂]
 variable (f : σ → S₁)
 
 /- warning: mv_polynomial.algebra_map_apply -> MvPolynomial.algebraMap_apply is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {S₁ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] [_inst_3 : Algebra.{u1, u2} R S₁ _inst_1 (CommSemiring.toSemiring.{u2} S₁ _inst_2)] (r : R), Eq.{max (succ u3) (succ u2)} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (coeFn.{max (succ u1) (succ (max u3 u2)), max (succ u1) (succ (max u3 u2))} (RingHom.{u1, max u3 u2} R (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))) (fun (_x : RingHom.{u1, max u3 u2} R (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))) => R -> (MvPolynomial.{u3, u2} σ S₁ _inst_2)) (RingHom.hasCoeToFun.{u1, max u3 u2} R (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))) (algebraMap.{u1, max u3 u2} R (MvPolynomial.{u3, u2} σ S₁ _inst_2) _inst_1 (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)) (MvPolynomial.algebra.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 _inst_3)) r) (coeFn.{max (succ u2) (succ (max u3 u2)), max (succ u2) (succ (max u3 u2))} (RingHom.{u2, max u3 u2} S₁ (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))) (fun (_x : RingHom.{u2, max u3 u2} S₁ (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))) => S₁ -> (MvPolynomial.{u3, u2} σ S₁ _inst_2)) (RingHom.hasCoeToFun.{u2, max u3 u2} S₁ (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))) (MvPolynomial.C.{u2, u3} S₁ σ _inst_2) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (fun (_x : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) => R -> S₁) (RingHom.hasCoeToFun.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (algebraMap.{u1, u2} R S₁ _inst_1 (CommSemiring.toSemiring.{u2} S₁ _inst_2) _inst_3) r))
-but is expected to have type
-  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] [_inst_3 : Algebra.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2)] (r : R), Eq.{max (succ u3) (succ u1)} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u3} σ S₁ _inst_2) r) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), succ u2, max (succ u3) (succ u1)} (RingHom.{u2, max u3 u1} R (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u3} σ S₁ _inst_2) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, u2, max u3 u1} (RingHom.{u2, max u3 u1} R (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) R (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, u2, max u3 u1} (RingHom.{u2, max u3 u1} R (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) R (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, u2, max u3 u1} (RingHom.{u2, max u3 u1} R (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) R (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (RingHom.instRingHomClassRingHom.{u2, max u3 u1} R (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))))) (algebraMap.{u2, max u3 u1} R (MvPolynomial.{u1, u3} σ S₁ _inst_2) _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)) (MvPolynomial.algebra.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 _inst_3)) r) (FunLike.coe.{max (succ u1) (succ u3), succ u3, max (succ u1) (succ u3)} (RingHom.{u3, max u3 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) _inst_2) (Semiring.toNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) _inst_2)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) _inst_2) (MvPolynomial.commSemiring.{u3, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) σ _inst_2)))) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) (fun (_x : (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) => MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) _inst_2) _x) (MulHomClass.toFunLike.{max u1 u3, u3, max u1 u3} (RingHom.{u3, max u3 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) _inst_2) (Semiring.toNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) _inst_2)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) _inst_2) (MvPolynomial.commSemiring.{u3, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) σ _inst_2)))) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) _inst_2) (NonUnitalNonAssocSemiring.toMul.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) (Semiring.toNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) _inst_2)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u3} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) _inst_2) (MvPolynomial.commSemiring.{u3, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) σ _inst_2))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u3, u3, max u1 u3} (RingHom.{u3, max u3 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) _inst_2) (Semiring.toNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) _inst_2)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) _inst_2) (MvPolynomial.commSemiring.{u3, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) σ _inst_2)))) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) (Semiring.toNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) _inst_2))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) _inst_2) (MvPolynomial.commSemiring.{u3, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) σ _inst_2)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u3, u3, max u1 u3} (RingHom.{u3, max u3 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) _inst_2) (Semiring.toNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) _inst_2)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) _inst_2) (MvPolynomial.commSemiring.{u3, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) σ _inst_2)))) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) _inst_2) (Semiring.toNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) _inst_2)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) _inst_2) (MvPolynomial.commSemiring.{u3, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) σ _inst_2))) (RingHom.instRingHomClassRingHom.{u3, max u1 u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) _inst_2) (Semiring.toNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) _inst_2)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) _inst_2) (MvPolynomial.commSemiring.{u3, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) σ _inst_2))))))) (MvPolynomial.C.{u3, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) σ _inst_2) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) _x) (MulHomClass.toFunLike.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (algebraMap.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3) r))
+<too large>
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.algebra_map_apply MvPolynomial.algebraMap_applyₓ'. -/
 theorem algebraMap_apply (r : R) : algebraMap R (MvPolynomial σ S₁) r = C (algebraMap R S₁ r) :=
   rfl
@@ -2518,30 +2302,21 @@ def aeval : MvPolynomial σ R →ₐ[R] S₁ :=
 -/
 
 /- warning: mv_polynomial.aeval_def -> MvPolynomial.aeval_def is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {S₁ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] [_inst_3 : Algebra.{u1, u2} R S₁ _inst_1 (CommSemiring.toSemiring.{u2} S₁ _inst_2)] (f : σ -> S₁) (p : MvPolynomial.{u3, u1} σ R _inst_1), Eq.{succ u2} S₁ (coeFn.{max (succ (max u3 u1)) (succ u2), max (succ (max u3 u1)) (succ u2)} (AlgHom.{u1, max u3 u1, u2} R (MvPolynomial.{u3, u1} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (CommSemiring.toSemiring.{u2} S₁ _inst_2) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_3) (fun (_x : AlgHom.{u1, max u3 u1, u2} R (MvPolynomial.{u3, u1} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (CommSemiring.toSemiring.{u2} S₁ _inst_2) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_3) => (MvPolynomial.{u3, u1} σ R _inst_1) -> S₁) ([anonymous].{u1, max u3 u1, u2} R (MvPolynomial.{u3, u1} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (CommSemiring.toSemiring.{u2} S₁ _inst_2) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_3) (MvPolynomial.aeval.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 _inst_3 f) p) (MvPolynomial.eval₂.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 (algebraMap.{u1, u2} R S₁ _inst_1 (CommSemiring.toSemiring.{u2} S₁ _inst_2) _inst_3) f p)
-but is expected to have type
-  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] [_inst_3 : Algebra.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2)] (f : σ -> S₁) (p : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : MvPolynomial.{u1, u2} σ R _inst_1) => S₁) p) (FunLike.coe.{max (max (succ u3) (succ u1)) (succ u2), max (succ u1) (succ u2), succ u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : MvPolynomial.{u1, u2} σ R _inst_1) => S₁) _x) (SMulHomClass.toFunLike.{max (max u3 u1) u2, u2, max u1 u2, u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (SMulZeroClass.toSMul.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (AddMonoid.toZero.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (DistribSMul.toSMulZeroClass.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (DistribMulAction.toDistribSMul.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))))))) (SMulZeroClass.toSMul.{u2, u3} R S₁ (AddMonoid.toZero.{u3} S₁ (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (DistribSMul.toSMulZeroClass.{u2, u3} R S₁ (AddMonoid.toAddZeroClass.{u3} S₁ (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (DistribMulAction.toDistribSMul.{u2, u3} R S₁ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))))) (Module.toDistribMulAction.{u2, u3} R S₁ (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (Algebra.toModule.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3))))) (DistribMulActionHomClass.toSMulHomClass.{max (max u3 u1) u2, u2, max u1 u2, u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (Module.toDistribMulAction.{u2, u3} R S₁ (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (Algebra.toModule.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max (max u3 u1) u2, u2, max u1 u2, u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (Module.toDistribMulAction.{u2, u3} R S₁ (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (Algebra.toModule.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u2, max u1 u2, u3, max (max u3 u1) u2} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3 (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) (AlgHom.algHomClass.{u2, max u1 u2, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3))))) (MvPolynomial.aeval.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 _inst_3 f) p) (MvPolynomial.eval₂.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 (algebraMap.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3) f p)
+<too large>
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.aeval_def MvPolynomial.aeval_defₓ'. -/
 theorem aeval_def (p : MvPolynomial σ R) : aeval f p = eval₂ (algebraMap R S₁) f p :=
   rfl
 #align mv_polynomial.aeval_def MvPolynomial.aeval_def
 
 /- warning: mv_polynomial.aeval_eq_eval₂_hom -> MvPolynomial.aeval_eq_eval₂Hom is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {S₁ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] [_inst_3 : Algebra.{u1, u2} R S₁ _inst_1 (CommSemiring.toSemiring.{u2} S₁ _inst_2)] (f : σ -> S₁) (p : MvPolynomial.{u3, u1} σ R _inst_1), Eq.{succ u2} S₁ (coeFn.{max (succ (max u3 u1)) (succ u2), max (succ (max u3 u1)) (succ u2)} (AlgHom.{u1, max u3 u1, u2} R (MvPolynomial.{u3, u1} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (CommSemiring.toSemiring.{u2} S₁ _inst_2) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_3) (fun (_x : AlgHom.{u1, max u3 u1, u2} R (MvPolynomial.{u3, u1} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (CommSemiring.toSemiring.{u2} S₁ _inst_2) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_3) => (MvPolynomial.{u3, u1} σ R _inst_1) -> S₁) ([anonymous].{u1, max u3 u1, u2} R (MvPolynomial.{u3, u1} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (CommSemiring.toSemiring.{u2} S₁ _inst_2) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_3) (MvPolynomial.aeval.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 _inst_3 f) p) (coeFn.{max (succ (max u3 u1)) (succ u2), max (succ (max u3 u1)) (succ u2)} (RingHom.{max u3 u1, u2} (MvPolynomial.{u3, u1} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (fun (_x : RingHom.{max u3 u1, u2} (MvPolynomial.{u3, u1} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) => (MvPolynomial.{u3, u1} σ R _inst_1) -> S₁) (RingHom.hasCoeToFun.{max u3 u1, u2} (MvPolynomial.{u3, u1} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (MvPolynomial.eval₂Hom.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 (algebraMap.{u1, u2} R S₁ _inst_1 (CommSemiring.toSemiring.{u2} S₁ _inst_2) _inst_3) f) p)
-but is expected to have type
-  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] [_inst_3 : Algebra.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2)] (f : σ -> S₁) (p : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : MvPolynomial.{u1, u2} σ R _inst_1) => S₁) p) (FunLike.coe.{max (max (succ u3) (succ u1)) (succ u2), max (succ u1) (succ u2), succ u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : MvPolynomial.{u1, u2} σ R _inst_1) => S₁) _x) (SMulHomClass.toFunLike.{max (max u3 u1) u2, u2, max u1 u2, u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (SMulZeroClass.toSMul.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (AddMonoid.toZero.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (DistribSMul.toSMulZeroClass.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (DistribMulAction.toDistribSMul.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))))))) (SMulZeroClass.toSMul.{u2, u3} R S₁ (AddMonoid.toZero.{u3} S₁ (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (DistribSMul.toSMulZeroClass.{u2, u3} R S₁ (AddMonoid.toAddZeroClass.{u3} S₁ (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (DistribMulAction.toDistribSMul.{u2, u3} R S₁ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))))) (Module.toDistribMulAction.{u2, u3} R S₁ (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (Algebra.toModule.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3))))) (DistribMulActionHomClass.toSMulHomClass.{max (max u3 u1) u2, u2, max u1 u2, u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (Module.toDistribMulAction.{u2, u3} R S₁ (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (Algebra.toModule.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max (max u3 u1) u2, u2, max u1 u2, u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (Module.toDistribMulAction.{u2, u3} R S₁ (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (Algebra.toModule.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u2, max u1 u2, u3, max (max u3 u1) u2} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3 (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) (AlgHom.algHomClass.{u2, max u1 u2, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3))))) (MvPolynomial.aeval.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 _inst_3 f) p) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u2) (succ u1), succ u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => S₁) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (MvPolynomial.eval₂Hom.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 (algebraMap.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3) f) p)
+<too large>
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.aeval_eq_eval₂_hom MvPolynomial.aeval_eq_eval₂Homₓ'. -/
 theorem aeval_eq_eval₂Hom (p : MvPolynomial σ R) : aeval f p = eval₂Hom (algebraMap R S₁) f p :=
   rfl
 #align mv_polynomial.aeval_eq_eval₂_hom MvPolynomial.aeval_eq_eval₂Hom
 
 /- warning: mv_polynomial.aeval_X -> MvPolynomial.aeval_X is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {S₁ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] [_inst_3 : Algebra.{u1, u2} R S₁ _inst_1 (CommSemiring.toSemiring.{u2} S₁ _inst_2)] (f : σ -> S₁) (s : σ), Eq.{succ u2} S₁ (coeFn.{max (succ (max u3 u1)) (succ u2), max (succ (max u3 u1)) (succ u2)} (AlgHom.{u1, max u3 u1, u2} R (MvPolynomial.{u3, u1} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (CommSemiring.toSemiring.{u2} S₁ _inst_2) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_3) (fun (_x : AlgHom.{u1, max u3 u1, u2} R (MvPolynomial.{u3, u1} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (CommSemiring.toSemiring.{u2} S₁ _inst_2) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_3) => (MvPolynomial.{u3, u1} σ R _inst_1) -> S₁) ([anonymous].{u1, max u3 u1, u2} R (MvPolynomial.{u3, u1} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (CommSemiring.toSemiring.{u2} S₁ _inst_2) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_3) (MvPolynomial.aeval.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 _inst_3 f) (MvPolynomial.X.{u1, u3} R σ _inst_1 s)) (f s)
-but is expected to have type
-  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] [_inst_3 : Algebra.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2)] (f : σ -> S₁) (s : σ), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : MvPolynomial.{u1, u2} σ R _inst_1) => S₁) (MvPolynomial.X.{u2, u1} R σ _inst_1 s)) (FunLike.coe.{max (max (succ u3) (succ u1)) (succ u2), max (succ u1) (succ u2), succ u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : MvPolynomial.{u1, u2} σ R _inst_1) => S₁) _x) (SMulHomClass.toFunLike.{max (max u3 u1) u2, u2, max u1 u2, u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (SMulZeroClass.toSMul.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (AddMonoid.toZero.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (DistribSMul.toSMulZeroClass.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (DistribMulAction.toDistribSMul.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))))))) (SMulZeroClass.toSMul.{u2, u3} R S₁ (AddMonoid.toZero.{u3} S₁ (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (DistribSMul.toSMulZeroClass.{u2, u3} R S₁ (AddMonoid.toAddZeroClass.{u3} S₁ (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (DistribMulAction.toDistribSMul.{u2, u3} R S₁ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))))) (Module.toDistribMulAction.{u2, u3} R S₁ (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (Algebra.toModule.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3))))) (DistribMulActionHomClass.toSMulHomClass.{max (max u3 u1) u2, u2, max u1 u2, u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (Module.toDistribMulAction.{u2, u3} R S₁ (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (Algebra.toModule.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max (max u3 u1) u2, u2, max u1 u2, u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (Module.toDistribMulAction.{u2, u3} R S₁ (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (Algebra.toModule.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u2, max u1 u2, u3, max (max u3 u1) u2} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3 (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) (AlgHom.algHomClass.{u2, max u1 u2, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3))))) (MvPolynomial.aeval.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 _inst_3 f) (MvPolynomial.X.{u2, u1} R σ _inst_1 s)) (f s)
+<too large>
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.aeval_X MvPolynomial.aeval_Xₓ'. -/
 @[simp]
 theorem aeval_X (s : σ) : aeval f (X s : MvPolynomial _ R) = f s :=
@@ -2549,10 +2324,7 @@ theorem aeval_X (s : σ) : aeval f (X s : MvPolynomial _ R) = f s :=
 #align mv_polynomial.aeval_X MvPolynomial.aeval_X
 
 /- warning: mv_polynomial.aeval_C -> MvPolynomial.aeval_C is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {S₁ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] [_inst_3 : Algebra.{u1, u2} R S₁ _inst_1 (CommSemiring.toSemiring.{u2} S₁ _inst_2)] (f : σ -> S₁) (r : R), Eq.{succ u2} S₁ (coeFn.{max (succ (max u3 u1)) (succ u2), max (succ (max u3 u1)) (succ u2)} (AlgHom.{u1, max u3 u1, u2} R (MvPolynomial.{u3, u1} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (CommSemiring.toSemiring.{u2} S₁ _inst_2) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_3) (fun (_x : AlgHom.{u1, max u3 u1, u2} R (MvPolynomial.{u3, u1} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (CommSemiring.toSemiring.{u2} S₁ _inst_2) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_3) => (MvPolynomial.{u3, u1} σ R _inst_1) -> S₁) ([anonymous].{u1, max u3 u1, u2} R (MvPolynomial.{u3, u1} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (CommSemiring.toSemiring.{u2} S₁ _inst_2) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_3) (MvPolynomial.aeval.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 _inst_3 f) (coeFn.{max (succ u1) (succ (max u3 u1)), max (succ u1) (succ (max u3 u1))} (RingHom.{u1, max u3 u1} R (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)))) (fun (_x : RingHom.{u1, max u3 u1} R (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)))) => R -> (MvPolynomial.{u3, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{u1, max u3 u1} R (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)))) (MvPolynomial.C.{u1, u3} R σ _inst_1) r)) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (fun (_x : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) => R -> S₁) (RingHom.hasCoeToFun.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (algebraMap.{u1, u2} R S₁ _inst_1 (CommSemiring.toSemiring.{u2} S₁ _inst_2) _inst_3) r)
-but is expected to have type
-  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] [_inst_3 : Algebra.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2)] (f : σ -> S₁) (r : R), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : MvPolynomial.{u1, u2} σ R _inst_1) => S₁) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (a : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) r)) (FunLike.coe.{max (max (succ u3) (succ u1)) (succ u2), max (succ u1) (succ u2), succ u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : MvPolynomial.{u1, u2} σ R _inst_1) => S₁) _x) (SMulHomClass.toFunLike.{max (max u3 u1) u2, u2, max u1 u2, u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (SMulZeroClass.toSMul.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (AddMonoid.toZero.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (DistribSMul.toSMulZeroClass.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (DistribMulAction.toDistribSMul.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))))))) (SMulZeroClass.toSMul.{u2, u3} R S₁ (AddMonoid.toZero.{u3} S₁ (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (DistribSMul.toSMulZeroClass.{u2, u3} R S₁ (AddMonoid.toAddZeroClass.{u3} S₁ (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (DistribMulAction.toDistribSMul.{u2, u3} R S₁ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))))) (Module.toDistribMulAction.{u2, u3} R S₁ (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (Algebra.toModule.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3))))) (DistribMulActionHomClass.toSMulHomClass.{max (max u3 u1) u2, u2, max u1 u2, u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (Module.toDistribMulAction.{u2, u3} R S₁ (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (Algebra.toModule.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max (max u3 u1) u2, u2, max u1 u2, u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (Module.toDistribMulAction.{u2, u3} R S₁ (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (Algebra.toModule.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u2, max u1 u2, u3, max (max u3 u1) u2} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3 (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) (AlgHom.algHomClass.{u2, max u1 u2, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3))))) (MvPolynomial.aeval.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 _inst_3 f) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) r)) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) _x) (MulHomClass.toFunLike.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (algebraMap.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3) r)
+<too large>
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.aeval_C MvPolynomial.aeval_Cₓ'. -/
 @[simp]
 theorem aeval_C (r : R) : aeval f (C r) = algebraMap R S₁ r :=
@@ -2560,10 +2332,7 @@ theorem aeval_C (r : R) : aeval f (C r) = algebraMap R S₁ r :=
 #align mv_polynomial.aeval_C MvPolynomial.aeval_C
 
 /- warning: mv_polynomial.aeval_unique -> MvPolynomial.aeval_unique is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {S₁ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] [_inst_3 : Algebra.{u1, u2} R S₁ _inst_1 (CommSemiring.toSemiring.{u2} S₁ _inst_2)] (φ : AlgHom.{u1, max u3 u1, u2} R (MvPolynomial.{u3, u1} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (CommSemiring.toSemiring.{u2} S₁ _inst_2) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_3), Eq.{max (succ (max u3 u1)) (succ u2)} (AlgHom.{u1, max u3 u1, u2} R (MvPolynomial.{u3, u1} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (CommSemiring.toSemiring.{u2} S₁ _inst_2) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_3) φ (MvPolynomial.aeval.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 _inst_3 (Function.comp.{succ u3, max (succ u3) (succ u1), succ u2} σ (MvPolynomial.{u3, u1} σ R _inst_1) S₁ (coeFn.{max (succ (max u3 u1)) (succ u2), max (succ (max u3 u1)) (succ u2)} (AlgHom.{u1, max u3 u1, u2} R (MvPolynomial.{u3, u1} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (CommSemiring.toSemiring.{u2} S₁ _inst_2) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_3) (fun (_x : AlgHom.{u1, max u3 u1, u2} R (MvPolynomial.{u3, u1} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (CommSemiring.toSemiring.{u2} S₁ _inst_2) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_3) => (MvPolynomial.{u3, u1} σ R _inst_1) -> S₁) ([anonymous].{u1, max u3 u1, u2} R (MvPolynomial.{u3, u1} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (CommSemiring.toSemiring.{u2} S₁ _inst_2) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_3) φ) (MvPolynomial.X.{u1, u3} R σ _inst_1)))
-but is expected to have type
-  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] [_inst_3 : Algebra.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2)] (φ : AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3), Eq.{max (max (succ u2) (succ u3)) (succ u1)} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) φ (MvPolynomial.aeval.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 _inst_3 (Function.comp.{succ u1, max (succ u2) (succ u1), succ u3} σ (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u2) (succ u1), succ u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : MvPolynomial.{u1, u2} σ R _inst_1) => S₁) _x) (SMulHomClass.toFunLike.{max (max u2 u3) u1, u2, max u2 u1, u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (SMulZeroClass.toSMul.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (AddMonoid.toZero.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (DistribSMul.toSMulZeroClass.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (DistribMulAction.toDistribSMul.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (Module.toDistribMulAction.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))))))) (SMulZeroClass.toSMul.{u2, u3} R S₁ (AddMonoid.toZero.{u3} S₁ (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (DistribSMul.toSMulZeroClass.{u2, u3} R S₁ (AddMonoid.toAddZeroClass.{u3} S₁ (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (DistribMulAction.toDistribSMul.{u2, u3} R S₁ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))))) (Module.toDistribMulAction.{u2, u3} R S₁ (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (Algebra.toModule.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3))))) (DistribMulActionHomClass.toSMulHomClass.{max (max u2 u3) u1, u2, max u2 u1, u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))))) (Module.toDistribMulAction.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (Module.toDistribMulAction.{u2, u3} R S₁ (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (Algebra.toModule.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max (max u2 u3) u1, u2, max u2 u1, u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (Module.toDistribMulAction.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (Module.toDistribMulAction.{u2, u3} R S₁ (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (Algebra.toModule.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u2, max u2 u1, u3, max (max u2 u3) u1} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3 (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) (AlgHom.algHomClass.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3))))) φ) (MvPolynomial.X.{u2, u1} R σ _inst_1)))
+<too large>
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.aeval_unique MvPolynomial.aeval_uniqueₓ'. -/
 theorem aeval_unique (φ : MvPolynomial σ R →ₐ[R] S₁) : φ = aeval (φ ∘ X) :=
   by
@@ -2582,20 +2351,14 @@ theorem aeval_X_left : aeval X = AlgHom.id R (MvPolynomial σ R) :=
 #align mv_polynomial.aeval_X_left MvPolynomial.aeval_X_left
 
 /- warning: mv_polynomial.aeval_X_left_apply -> MvPolynomial.aeval_X_left_apply is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] (p : MvPolynomial.{u2, u1} σ R _inst_1), Eq.{max (succ u2) (succ u1)} (MvPolynomial.{u2, u1} σ R _inst_1) (coeFn.{succ (max u2 u1), succ (max u2 u1)} (AlgHom.{u1, max u2 u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1))) (fun (_x : AlgHom.{u1, max u2 u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1))) => (MvPolynomial.{u2, u1} σ R _inst_1) -> (MvPolynomial.{u2, u1} σ R _inst_1)) ([anonymous].{u1, max u2 u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1))) (MvPolynomial.aeval.{u1, max u2 u1, u2} R (MvPolynomial.{u2, u1} σ R _inst_1) σ _inst_1 (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) (MvPolynomial.X.{u1, u2} R σ _inst_1)) p) p
-but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] (p : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u2} σ R _inst_1) p) (FunLike.coe.{max (succ u2) (succ u1), max (succ u2) (succ u1), max (succ u1) (succ u2)} (AlgHom.{u2, max u2 u1, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (SMulHomClass.toFunLike.{max u2 u1, u2, max u2 u1, max u1 u2} (AlgHom.{u2, max u2 u1, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (SMulZeroClass.toSMul.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (AddMonoid.toZero.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (DistribSMul.toSMulZeroClass.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (DistribMulAction.toDistribSMul.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (Module.toDistribMulAction.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))))))) (SMulZeroClass.toSMul.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (AddMonoid.toZero.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (DistribSMul.toSMulZeroClass.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (DistribMulAction.toDistribSMul.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))))))) (DistribMulActionHomClass.toSMulHomClass.{max u2 u1, u2, max u2 u1, max u1 u2} (AlgHom.{u2, max u2 u1, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (Module.toDistribMulAction.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max u2 u1, u2, max u2 u1, max u1 u2} (AlgHom.{u2, max u2 u1, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (Module.toDistribMulAction.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u2, max u2 u1, max u1 u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (AlgHom.{u2, max u2 u1, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) (AlgHom.algHomClass.{u2, max u2 u1, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))))))) (MvPolynomial.aeval.{u2, max u1 u2, u1} R (MvPolynomial.{u1, u2} σ R _inst_1) σ _inst_1 (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.X.{u2, u1} R σ _inst_1)) p) p
+<too large>
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.aeval_X_left_apply MvPolynomial.aeval_X_left_applyₓ'. -/
 theorem aeval_X_left_apply (p : MvPolynomial σ R) : aeval X p = p :=
   AlgHom.congr_fun aeval_X_left p
 #align mv_polynomial.aeval_X_left_apply MvPolynomial.aeval_X_left_apply
 
 /- warning: mv_polynomial.comp_aeval -> MvPolynomial.comp_aeval is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {S₁ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] [_inst_3 : Algebra.{u1, u2} R S₁ _inst_1 (CommSemiring.toSemiring.{u2} S₁ _inst_2)] (f : σ -> S₁) {B : Type.{u4}} [_inst_5 : CommSemiring.{u4} B] [_inst_6 : Algebra.{u1, u4} R B _inst_1 (CommSemiring.toSemiring.{u4} B _inst_5)] (φ : AlgHom.{u1, u2, u4} R S₁ B _inst_1 (CommSemiring.toSemiring.{u2} S₁ _inst_2) (CommSemiring.toSemiring.{u4} B _inst_5) _inst_3 _inst_6), Eq.{max (succ (max u3 u1)) (succ u4)} (AlgHom.{u1, max u3 u1, u4} R (MvPolynomial.{u3, u1} σ R _inst_1) B _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (CommSemiring.toSemiring.{u4} B _inst_5) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_6) (AlgHom.comp.{u1, max u3 u1, u2, u4} R (MvPolynomial.{u3, u1} σ R _inst_1) S₁ B _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (CommSemiring.toSemiring.{u2} S₁ _inst_2) (CommSemiring.toSemiring.{u4} B _inst_5) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_3 _inst_6 φ (MvPolynomial.aeval.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 _inst_3 f)) (MvPolynomial.aeval.{u1, u4, u3} R B σ _inst_1 _inst_5 _inst_6 (fun (i : σ) => coeFn.{max (succ u2) (succ u4), max (succ u2) (succ u4)} (AlgHom.{u1, u2, u4} R S₁ B _inst_1 (CommSemiring.toSemiring.{u2} S₁ _inst_2) (CommSemiring.toSemiring.{u4} B _inst_5) _inst_3 _inst_6) (fun (_x : AlgHom.{u1, u2, u4} R S₁ B _inst_1 (CommSemiring.toSemiring.{u2} S₁ _inst_2) (CommSemiring.toSemiring.{u4} B _inst_5) _inst_3 _inst_6) => S₁ -> B) ([anonymous].{u1, u2, u4} R S₁ B _inst_1 (CommSemiring.toSemiring.{u2} S₁ _inst_2) (CommSemiring.toSemiring.{u4} B _inst_5) _inst_3 _inst_6) φ (f i)))
-but is expected to have type
-  forall {R : Type.{u3}} {S₁ : Type.{u4}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u3} R] [_inst_2 : CommSemiring.{u4} S₁] [_inst_3 : Algebra.{u3, u4} R S₁ _inst_1 (CommSemiring.toSemiring.{u4} S₁ _inst_2)] (f : σ -> S₁) {B : Type.{u2}} [_inst_5 : CommSemiring.{u2} B] [_inst_6 : Algebra.{u3, u2} R B _inst_1 (CommSemiring.toSemiring.{u2} B _inst_5)] (φ : AlgHom.{u3, u4, u2} R S₁ B _inst_1 (CommSemiring.toSemiring.{u4} S₁ _inst_2) (CommSemiring.toSemiring.{u2} B _inst_5) _inst_3 _inst_6), Eq.{max (max (succ u3) (succ u1)) (succ u2)} (AlgHom.{u3, max u3 u1, u2} R (MvPolynomial.{u1, u3} σ R _inst_1) B _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u2} B _inst_5) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_6) (AlgHom.comp.{u3, max u3 u1, u4, u2} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ B _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (CommSemiring.toSemiring.{u2} B _inst_5) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3 _inst_6 φ (MvPolynomial.aeval.{u3, u4, u1} R S₁ σ _inst_1 _inst_2 _inst_3 f)) (MvPolynomial.aeval.{u3, u2, u1} R B σ _inst_1 _inst_5 _inst_6 (fun (i : σ) => FunLike.coe.{max (succ u4) (succ u2), succ u4, succ u2} (AlgHom.{u3, u4, u2} R S₁ B _inst_1 (CommSemiring.toSemiring.{u4} S₁ _inst_2) (CommSemiring.toSemiring.{u2} B _inst_5) _inst_3 _inst_6) S₁ (fun (_x : S₁) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : S₁) => B) _x) (SMulHomClass.toFunLike.{max u4 u2, u3, u4, u2} (AlgHom.{u3, u4, u2} R S₁ B _inst_1 (CommSemiring.toSemiring.{u4} S₁ _inst_2) (CommSemiring.toSemiring.{u2} B _inst_5) _inst_3 _inst_6) R S₁ B (SMulZeroClass.toSMul.{u3, u4} R S₁ (AddMonoid.toZero.{u4} S₁ (AddCommMonoid.toAddMonoid.{u4} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))))) (DistribSMul.toSMulZeroClass.{u3, u4} R S₁ (AddMonoid.toAddZeroClass.{u4} S₁ (AddCommMonoid.toAddMonoid.{u4} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))))) (DistribMulAction.toDistribSMul.{u3, u4} R S₁ (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (AddCommMonoid.toAddMonoid.{u4} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2))))) (Module.toDistribMulAction.{u3, u4} R S₁ (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))) (Algebra.toModule.{u3, u4} R S₁ _inst_1 (CommSemiring.toSemiring.{u4} S₁ _inst_2) _inst_3))))) (SMulZeroClass.toSMul.{u3, u2} R B (AddMonoid.toZero.{u2} B (AddCommMonoid.toAddMonoid.{u2} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5)))))) (DistribSMul.toSMulZeroClass.{u3, u2} R B (AddMonoid.toAddZeroClass.{u2} B (AddCommMonoid.toAddMonoid.{u2} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5)))))) (DistribMulAction.toDistribSMul.{u3, u2} R B (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (AddCommMonoid.toAddMonoid.{u2} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5))))) (Module.toDistribMulAction.{u3, u2} R B (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5)))) (Algebra.toModule.{u3, u2} R B _inst_1 (CommSemiring.toSemiring.{u2} B _inst_5) _inst_6))))) (DistribMulActionHomClass.toSMulHomClass.{max u4 u2, u3, u4, u2} (AlgHom.{u3, u4, u2} R S₁ B _inst_1 (CommSemiring.toSemiring.{u4} S₁ _inst_2) (CommSemiring.toSemiring.{u2} B _inst_5) _inst_3 _inst_6) R S₁ B (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (AddCommMonoid.toAddMonoid.{u4} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2))))) (AddCommMonoid.toAddMonoid.{u2} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5))))) (Module.toDistribMulAction.{u3, u4} R S₁ (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))) (Algebra.toModule.{u3, u4} R S₁ _inst_1 (CommSemiring.toSemiring.{u4} S₁ _inst_2) _inst_3)) (Module.toDistribMulAction.{u3, u2} R B (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5)))) (Algebra.toModule.{u3, u2} R B _inst_1 (CommSemiring.toSemiring.{u2} B _inst_5) _inst_6)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max u4 u2, u3, u4, u2} (AlgHom.{u3, u4, u2} R S₁ B _inst_1 (CommSemiring.toSemiring.{u4} S₁ _inst_2) (CommSemiring.toSemiring.{u2} B _inst_5) _inst_3 _inst_6) R S₁ B (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5))) (Module.toDistribMulAction.{u3, u4} R S₁ (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))) (Algebra.toModule.{u3, u4} R S₁ _inst_1 (CommSemiring.toSemiring.{u4} S₁ _inst_2) _inst_3)) (Module.toDistribMulAction.{u3, u2} R B (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5)))) (Algebra.toModule.{u3, u2} R B _inst_1 (CommSemiring.toSemiring.{u2} B _inst_5) _inst_6)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u3, u4, u2, max u4 u2} R S₁ B _inst_1 (CommSemiring.toSemiring.{u4} S₁ _inst_2) (CommSemiring.toSemiring.{u2} B _inst_5) _inst_3 _inst_6 (AlgHom.{u3, u4, u2} R S₁ B _inst_1 (CommSemiring.toSemiring.{u4} S₁ _inst_2) (CommSemiring.toSemiring.{u2} B _inst_5) _inst_3 _inst_6) (AlgHom.algHomClass.{u3, u4, u2} R S₁ B _inst_1 (CommSemiring.toSemiring.{u4} S₁ _inst_2) (CommSemiring.toSemiring.{u2} B _inst_5) _inst_3 _inst_6))))) φ (f i)))
+<too large>
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.comp_aeval MvPolynomial.comp_aevalₓ'. -/
 theorem comp_aeval {B : Type _} [CommSemiring B] [Algebra R B] (φ : S₁ →ₐ[R] B) :
     φ.comp (aeval f) = aeval fun i => φ (f i) :=
@@ -2605,10 +2368,7 @@ theorem comp_aeval {B : Type _} [CommSemiring B] [Algebra R B] (φ : S₁ →ₐ
 #align mv_polynomial.comp_aeval MvPolynomial.comp_aeval
 
 /- warning: mv_polynomial.map_aeval -> MvPolynomial.map_aeval is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {S₁ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] [_inst_3 : Algebra.{u1, u2} R S₁ _inst_1 (CommSemiring.toSemiring.{u2} S₁ _inst_2)] {B : Type.{u4}} [_inst_5 : CommSemiring.{u4} B] (g : σ -> S₁) (φ : RingHom.{u2, u4} S₁ B (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} B (CommSemiring.toSemiring.{u4} B _inst_5))) (p : MvPolynomial.{u3, u1} σ R _inst_1), Eq.{succ u4} B (coeFn.{max (succ u2) (succ u4), max (succ u2) (succ u4)} (RingHom.{u2, u4} S₁ B (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} B (CommSemiring.toSemiring.{u4} B _inst_5))) (fun (_x : RingHom.{u2, u4} S₁ B (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} B (CommSemiring.toSemiring.{u4} B _inst_5))) => S₁ -> B) (RingHom.hasCoeToFun.{u2, u4} S₁ B (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} B (CommSemiring.toSemiring.{u4} B _inst_5))) φ (coeFn.{max (succ (max u3 u1)) (succ u2), max (succ (max u3 u1)) (succ u2)} (AlgHom.{u1, max u3 u1, u2} R (MvPolynomial.{u3, u1} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (CommSemiring.toSemiring.{u2} S₁ _inst_2) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_3) (fun (_x : AlgHom.{u1, max u3 u1, u2} R (MvPolynomial.{u3, u1} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (CommSemiring.toSemiring.{u2} S₁ _inst_2) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_3) => (MvPolynomial.{u3, u1} σ R _inst_1) -> S₁) ([anonymous].{u1, max u3 u1, u2} R (MvPolynomial.{u3, u1} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (CommSemiring.toSemiring.{u2} S₁ _inst_2) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_3) (MvPolynomial.aeval.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 _inst_3 g) p)) (coeFn.{max (succ (max u3 u1)) (succ u4), max (succ (max u3 u1)) (succ u4)} (RingHom.{max u3 u1, u4} (MvPolynomial.{u3, u1} σ R _inst_1) B (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u4} B (CommSemiring.toSemiring.{u4} B _inst_5))) (fun (_x : RingHom.{max u3 u1, u4} (MvPolynomial.{u3, u1} σ R _inst_1) B (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u4} B (CommSemiring.toSemiring.{u4} B _inst_5))) => (MvPolynomial.{u3, u1} σ R _inst_1) -> B) (RingHom.hasCoeToFun.{max u3 u1, u4} (MvPolynomial.{u3, u1} σ R _inst_1) B (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u4} B (CommSemiring.toSemiring.{u4} B _inst_5))) (MvPolynomial.eval₂Hom.{u1, u4, u3} R B σ _inst_1 _inst_5 (RingHom.comp.{u1, u2, u4} R S₁ B (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} B (CommSemiring.toSemiring.{u4} B _inst_5)) φ (algebraMap.{u1, u2} R S₁ _inst_1 (CommSemiring.toSemiring.{u2} S₁ _inst_2) _inst_3)) (fun (i : σ) => coeFn.{max (succ u2) (succ u4), max (succ u2) (succ u4)} (RingHom.{u2, u4} S₁ B (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} B (CommSemiring.toSemiring.{u4} B _inst_5))) (fun (_x : RingHom.{u2, u4} S₁ B (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} B (CommSemiring.toSemiring.{u4} B _inst_5))) => S₁ -> B) (RingHom.hasCoeToFun.{u2, u4} S₁ B (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} B (CommSemiring.toSemiring.{u4} B _inst_5))) φ (g i))) p)
-but is expected to have type
-  forall {R : Type.{u3}} {S₁ : Type.{u4}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u3} R] [_inst_2 : CommSemiring.{u4} S₁] [_inst_3 : Algebra.{u3, u4} R S₁ _inst_1 (CommSemiring.toSemiring.{u4} S₁ _inst_2)] {B : Type.{u2}} [_inst_5 : CommSemiring.{u2} B] (g : σ -> S₁) (φ : RingHom.{u4, u2} S₁ B (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5))) (p : MvPolynomial.{u1, u3} σ R _inst_1), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : S₁) => B) (FunLike.coe.{max (max (succ u4) (succ u1)) (succ u3), max (succ u1) (succ u3), succ u4} (AlgHom.{u3, max u3 u1, u4} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3) (MvPolynomial.{u1, u3} σ R _inst_1) (fun (a : MvPolynomial.{u1, u3} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : MvPolynomial.{u1, u3} σ R _inst_1) => S₁) a) (SMulHomClass.toFunLike.{max (max u4 u1) u3, u3, max u1 u3, u4} (AlgHom.{u3, max u3 u1, u4} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ (SMulZeroClass.toSMul.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (AddMonoid.toZero.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))))) (DistribSMul.toSMulZeroClass.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))))) (DistribMulAction.toDistribSMul.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))))) (Module.toDistribMulAction.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Algebra.toModule.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1))))))) (SMulZeroClass.toSMul.{u3, u4} R S₁ (AddMonoid.toZero.{u4} S₁ (AddCommMonoid.toAddMonoid.{u4} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))))) (DistribSMul.toSMulZeroClass.{u3, u4} R S₁ (AddMonoid.toAddZeroClass.{u4} S₁ (AddCommMonoid.toAddMonoid.{u4} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))))) (DistribMulAction.toDistribSMul.{u3, u4} R S₁ (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (AddCommMonoid.toAddMonoid.{u4} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2))))) (Module.toDistribMulAction.{u3, u4} R S₁ (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))) (Algebra.toModule.{u3, u4} R S₁ _inst_1 (CommSemiring.toSemiring.{u4} S₁ _inst_2) _inst_3))))) (DistribMulActionHomClass.toSMulHomClass.{max (max u4 u1) u3, u3, max u1 u3, u4} (AlgHom.{u3, max u3 u1, u4} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))))) (AddCommMonoid.toAddMonoid.{u4} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2))))) (Module.toDistribMulAction.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Algebra.toModule.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)))) (Module.toDistribMulAction.{u3, u4} R S₁ (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))) (Algebra.toModule.{u3, u4} R S₁ _inst_1 (CommSemiring.toSemiring.{u4} S₁ _inst_2) _inst_3)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max (max u4 u1) u3, u3, max u1 u3, u4} (AlgHom.{u3, max u3 u1, u4} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2))) (Module.toDistribMulAction.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Algebra.toModule.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)))) (Module.toDistribMulAction.{u3, u4} R S₁ (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))) (Algebra.toModule.{u3, u4} R S₁ _inst_1 (CommSemiring.toSemiring.{u4} S₁ _inst_2) _inst_3)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u3, max u1 u3, u4, max (max u4 u1) u3} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3 (AlgHom.{u3, max u3 u1, u4} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3) (AlgHom.algHomClass.{u3, max u1 u3, u4} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3))))) (MvPolynomial.aeval.{u3, u4, u1} R S₁ σ _inst_1 _inst_2 _inst_3 g) p)) (FunLike.coe.{max (succ u4) (succ u2), succ u4, succ u2} (RingHom.{u4, u2} S₁ B (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5))) S₁ (fun (_x : S₁) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : S₁) => B) _x) (MulHomClass.toFunLike.{max u4 u2, u4, u2} (RingHom.{u4, u2} S₁ B (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5))) S₁ B (NonUnitalNonAssocSemiring.toMul.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))) (NonUnitalNonAssocSemiring.toMul.{u2} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5)))) (NonUnitalRingHomClass.toMulHomClass.{max u4 u2, u4, u2} (RingHom.{u4, u2} S₁ B (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5))) S₁ B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5))) (RingHomClass.toNonUnitalRingHomClass.{max u4 u2, u4, u2} (RingHom.{u4, u2} S₁ B (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5))) S₁ B (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5)) (RingHom.instRingHomClassRingHom.{u4, u2} S₁ B (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5)))))) φ (FunLike.coe.{max (max (succ u4) (succ u1)) (succ u3), max (succ u1) (succ u3), succ u4} (AlgHom.{u3, max u3 u1, u4} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3) (MvPolynomial.{u1, u3} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u3} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : MvPolynomial.{u1, u3} σ R _inst_1) => S₁) _x) (SMulHomClass.toFunLike.{max (max u4 u1) u3, u3, max u1 u3, u4} (AlgHom.{u3, max u3 u1, u4} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ (SMulZeroClass.toSMul.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (AddMonoid.toZero.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))))) (DistribSMul.toSMulZeroClass.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))))) (DistribMulAction.toDistribSMul.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))))) (Module.toDistribMulAction.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Algebra.toModule.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1))))))) (SMulZeroClass.toSMul.{u3, u4} R S₁ (AddMonoid.toZero.{u4} S₁ (AddCommMonoid.toAddMonoid.{u4} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))))) (DistribSMul.toSMulZeroClass.{u3, u4} R S₁ (AddMonoid.toAddZeroClass.{u4} S₁ (AddCommMonoid.toAddMonoid.{u4} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))))) (DistribMulAction.toDistribSMul.{u3, u4} R S₁ (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (AddCommMonoid.toAddMonoid.{u4} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2))))) (Module.toDistribMulAction.{u3, u4} R S₁ (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))) (Algebra.toModule.{u3, u4} R S₁ _inst_1 (CommSemiring.toSemiring.{u4} S₁ _inst_2) _inst_3))))) (DistribMulActionHomClass.toSMulHomClass.{max (max u4 u1) u3, u3, max u1 u3, u4} (AlgHom.{u3, max u3 u1, u4} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))))) (AddCommMonoid.toAddMonoid.{u4} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2))))) (Module.toDistribMulAction.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Algebra.toModule.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)))) (Module.toDistribMulAction.{u3, u4} R S₁ (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))) (Algebra.toModule.{u3, u4} R S₁ _inst_1 (CommSemiring.toSemiring.{u4} S₁ _inst_2) _inst_3)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max (max u4 u1) u3, u3, max u1 u3, u4} (AlgHom.{u3, max u3 u1, u4} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2))) (Module.toDistribMulAction.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Algebra.toModule.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)))) (Module.toDistribMulAction.{u3, u4} R S₁ (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))) (Algebra.toModule.{u3, u4} R S₁ _inst_1 (CommSemiring.toSemiring.{u4} S₁ _inst_2) _inst_3)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u3, max u1 u3, u4, max (max u4 u1) u3} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3 (AlgHom.{u3, max u3 u1, u4} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3) (AlgHom.algHomClass.{u3, max u1 u3, u4} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3))))) (MvPolynomial.aeval.{u3, u4, u1} R S₁ σ _inst_1 _inst_2 _inst_3 g) p)) (FunLike.coe.{max (max (succ u3) (succ u1)) (succ u2), max (succ u3) (succ u1), succ u2} (RingHom.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) B (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5))) (MvPolynomial.{u1, u3} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u3} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u3} σ R _inst_1) => B) _x) (MulHomClass.toFunLike.{max (max u3 u1) u2, max u3 u1, u2} (RingHom.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) B (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5))) (MvPolynomial.{u1, u3} σ R _inst_1) B (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u2} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5)))) (NonUnitalRingHomClass.toMulHomClass.{max (max u3 u1) u2, max u3 u1, u2} (RingHom.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) B (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5))) (MvPolynomial.{u1, u3} σ R _inst_1) B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5))) (RingHomClass.toNonUnitalRingHomClass.{max (max u3 u1) u2, max u3 u1, u2} (RingHom.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) B (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5))) (MvPolynomial.{u1, u3} σ R _inst_1) B (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5)) (RingHom.instRingHomClassRingHom.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) B (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5)))))) (MvPolynomial.eval₂Hom.{u3, u2, u1} R B σ _inst_1 _inst_5 (RingHom.comp.{u3, u4, u2} R S₁ B (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5)) φ (algebraMap.{u3, u4} R S₁ _inst_1 (CommSemiring.toSemiring.{u4} S₁ _inst_2) _inst_3)) (fun (i : σ) => FunLike.coe.{max (succ u4) (succ u2), succ u4, succ u2} (RingHom.{u4, u2} S₁ B (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5))) S₁ (fun (_x : S₁) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : S₁) => B) _x) (MulHomClass.toFunLike.{max u4 u2, u4, u2} (RingHom.{u4, u2} S₁ B (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5))) S₁ B (NonUnitalNonAssocSemiring.toMul.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))) (NonUnitalNonAssocSemiring.toMul.{u2} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5)))) (NonUnitalRingHomClass.toMulHomClass.{max u4 u2, u4, u2} (RingHom.{u4, u2} S₁ B (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5))) S₁ B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5))) (RingHomClass.toNonUnitalRingHomClass.{max u4 u2, u4, u2} (RingHom.{u4, u2} S₁ B (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5))) S₁ B (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5)) (RingHom.instRingHomClassRingHom.{u4, u2} S₁ B (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5)))))) φ (g i))) p)
+<too large>
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.map_aeval MvPolynomial.map_aevalₓ'. -/
 @[simp]
 theorem map_aeval {B : Type _} [CommSemiring B] (g : σ → S₁) (φ : S₁ →+* B) (p : MvPolynomial σ R) :
@@ -2641,10 +2401,7 @@ theorem eval₂Hom_zero' (f : R →+* S₂) : eval₂Hom f (fun _ => 0 : σ →
 #align mv_polynomial.eval₂_hom_zero' MvPolynomial.eval₂Hom_zero'
 
 /- warning: mv_polynomial.eval₂_hom_zero_apply -> MvPolynomial.eval₂Hom_zero_apply is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {S₂ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_4 : CommSemiring.{u2} S₂] (f : RingHom.{u1, u2} R S₂ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4))) (p : MvPolynomial.{u3, u1} σ R _inst_1), Eq.{succ u2} S₂ (coeFn.{max (succ (max u3 u1)) (succ u2), max (succ (max u3 u1)) (succ u2)} (RingHom.{max u3 u1, u2} (MvPolynomial.{u3, u1} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4))) (fun (_x : RingHom.{max u3 u1, u2} (MvPolynomial.{u3, u1} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4))) => (MvPolynomial.{u3, u1} σ R _inst_1) -> S₂) (RingHom.hasCoeToFun.{max u3 u1, u2} (MvPolynomial.{u3, u1} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4))) (MvPolynomial.eval₂Hom.{u1, u2, u3} R S₂ σ _inst_1 _inst_4 f (OfNat.ofNat.{max u3 u2} (σ -> S₂) 0 (OfNat.mk.{max u3 u2} (σ -> S₂) 0 (Zero.zero.{max u3 u2} (σ -> S₂) (Pi.instZero.{u3, u2} σ (fun (ᾰ : σ) => S₂) (fun (i : σ) => MulZeroClass.toHasZero.{u2} S₂ (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S₂ (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4)))))))))) p) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R S₂ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4))) (fun (_x : RingHom.{u1, u2} R S₂ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4))) => R -> S₂) (RingHom.hasCoeToFun.{u1, u2} R S₂ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4))) f (coeFn.{max (succ (max u3 u1)) (succ u1), max (succ (max u3 u1)) (succ u1)} (RingHom.{max u3 u1, u1} (MvPolynomial.{u3, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (fun (_x : RingHom.{max u3 u1, u1} (MvPolynomial.{u3, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) => (MvPolynomial.{u3, u1} σ R _inst_1) -> R) (RingHom.hasCoeToFun.{max u3 u1, u1} (MvPolynomial.{u3, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.constantCoeff.{u1, u3} R σ _inst_1) p))
-but is expected to have type
-  forall {R : Type.{u2}} {S₂ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_4 : CommSemiring.{u3} S₂] (f : RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (p : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => S₂) p) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u2) (succ u1), succ u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => S₂) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u3} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)) (RingHom.instRingHomClassRingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)))))) (MvPolynomial.eval₂Hom.{u2, u3, u1} R S₂ σ _inst_1 _inst_4 f (OfNat.ofNat.{max u3 u1} (σ -> S₂) 0 (Zero.toOfNat0.{max u3 u1} (σ -> S₂) (Pi.instZero.{u1, u3} σ (fun (a._@.Mathlib.Data.MvPolynomial.Basic._hyg.20694 : σ) => S₂) (fun (i : σ) => CommMonoidWithZero.toZero.{u3} S₂ (CommSemiring.toCommMonoidWithZero.{u3} S₂ _inst_4)))))) p) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₂) _x) (MulHomClass.toFunLike.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) R S₂ (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) R S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)) (RingHom.instRingHomClassRingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)))))) f (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), succ u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) _x) (MulHomClass.toFunLike.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (RingHom.instRingHomClassRingHom.{max u1 u2, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))))) (MvPolynomial.constantCoeff.{u2, u1} R σ _inst_1) p))
+<too large>
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval₂_hom_zero_apply MvPolynomial.eval₂Hom_zero_applyₓ'. -/
 theorem eval₂Hom_zero_apply (f : R →+* S₂) (p : MvPolynomial σ R) :
     eval₂Hom f (0 : σ → S₂) p = f (constantCoeff p) :=
@@ -2652,10 +2409,7 @@ theorem eval₂Hom_zero_apply (f : R →+* S₂) (p : MvPolynomial σ R) :
 #align mv_polynomial.eval₂_hom_zero_apply MvPolynomial.eval₂Hom_zero_apply
 
 /- warning: mv_polynomial.eval₂_hom_zero'_apply -> MvPolynomial.eval₂Hom_zero'_apply is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {S₂ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_4 : CommSemiring.{u2} S₂] (f : RingHom.{u1, u2} R S₂ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4))) (p : MvPolynomial.{u3, u1} σ R _inst_1), Eq.{succ u2} S₂ (coeFn.{max (succ (max u3 u1)) (succ u2), max (succ (max u3 u1)) (succ u2)} (RingHom.{max u3 u1, u2} (MvPolynomial.{u3, u1} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4))) (fun (_x : RingHom.{max u3 u1, u2} (MvPolynomial.{u3, u1} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4))) => (MvPolynomial.{u3, u1} σ R _inst_1) -> S₂) (RingHom.hasCoeToFun.{max u3 u1, u2} (MvPolynomial.{u3, u1} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4))) (MvPolynomial.eval₂Hom.{u1, u2, u3} R S₂ σ _inst_1 _inst_4 f (fun (_x : σ) => OfNat.ofNat.{u2} S₂ 0 (OfNat.mk.{u2} S₂ 0 (Zero.zero.{u2} S₂ (MulZeroClass.toHasZero.{u2} S₂ (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S₂ (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4))))))))) p) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R S₂ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4))) (fun (_x : RingHom.{u1, u2} R S₂ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4))) => R -> S₂) (RingHom.hasCoeToFun.{u1, u2} R S₂ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4))) f (coeFn.{max (succ (max u3 u1)) (succ u1), max (succ (max u3 u1)) (succ u1)} (RingHom.{max u3 u1, u1} (MvPolynomial.{u3, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (fun (_x : RingHom.{max u3 u1, u1} (MvPolynomial.{u3, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) => (MvPolynomial.{u3, u1} σ R _inst_1) -> R) (RingHom.hasCoeToFun.{max u3 u1, u1} (MvPolynomial.{u3, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.constantCoeff.{u1, u3} R σ _inst_1) p))
-but is expected to have type
-  forall {R : Type.{u2}} {S₂ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_4 : CommSemiring.{u3} S₂] (f : RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (p : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => S₂) p) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u2) (succ u1), succ u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => S₂) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u3} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)) (RingHom.instRingHomClassRingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)))))) (MvPolynomial.eval₂Hom.{u2, u3, u1} R S₂ σ _inst_1 _inst_4 f (fun (_x : σ) => OfNat.ofNat.{u3} S₂ 0 (Zero.toOfNat0.{u3} S₂ (CommMonoidWithZero.toZero.{u3} S₂ (CommSemiring.toCommMonoidWithZero.{u3} S₂ _inst_4))))) p) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₂) _x) (MulHomClass.toFunLike.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) R S₂ (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) R S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)) (RingHom.instRingHomClassRingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)))))) f (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), succ u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) _x) (MulHomClass.toFunLike.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (RingHom.instRingHomClassRingHom.{max u1 u2, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))))) (MvPolynomial.constantCoeff.{u2, u1} R σ _inst_1) p))
+<too large>
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval₂_hom_zero'_apply MvPolynomial.eval₂Hom_zero'_applyₓ'. -/
 theorem eval₂Hom_zero'_apply (f : R →+* S₂) (p : MvPolynomial σ R) :
     eval₂Hom f (fun _ => 0 : σ → S₂) p = f (constantCoeff p) :=
@@ -2687,10 +2441,7 @@ theorem eval₂_zero'_apply (f : R →+* S₂) (p : MvPolynomial σ R) :
 #align mv_polynomial.eval₂_zero'_apply MvPolynomial.eval₂_zero'_apply
 
 /- warning: mv_polynomial.aeval_zero -> MvPolynomial.aeval_zero is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {S₁ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] [_inst_3 : Algebra.{u1, u2} R S₁ _inst_1 (CommSemiring.toSemiring.{u2} S₁ _inst_2)] (p : MvPolynomial.{u3, u1} σ R _inst_1), Eq.{succ u2} S₁ (coeFn.{max (succ (max u3 u1)) (succ u2), max (succ (max u3 u1)) (succ u2)} (AlgHom.{u1, max u3 u1, u2} R (MvPolynomial.{u3, u1} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (CommSemiring.toSemiring.{u2} S₁ _inst_2) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_3) (fun (_x : AlgHom.{u1, max u3 u1, u2} R (MvPolynomial.{u3, u1} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (CommSemiring.toSemiring.{u2} S₁ _inst_2) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_3) => (MvPolynomial.{u3, u1} σ R _inst_1) -> S₁) ([anonymous].{u1, max u3 u1, u2} R (MvPolynomial.{u3, u1} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (CommSemiring.toSemiring.{u2} S₁ _inst_2) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_3) (MvPolynomial.aeval.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 _inst_3 (OfNat.ofNat.{max u3 u2} (σ -> S₁) 0 (OfNat.mk.{max u3 u2} (σ -> S₁) 0 (Zero.zero.{max u3 u2} (σ -> S₁) (Pi.instZero.{u3, u2} σ (fun (ᾰ : σ) => S₁) (fun (i : σ) => MulZeroClass.toHasZero.{u2} S₁ (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S₁ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)))))))))) p) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (fun (_x : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) => R -> S₁) (RingHom.hasCoeToFun.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (algebraMap.{u1, u2} R S₁ _inst_1 (CommSemiring.toSemiring.{u2} S₁ _inst_2) _inst_3) (coeFn.{max (succ (max u3 u1)) (succ u1), max (succ (max u3 u1)) (succ u1)} (RingHom.{max u3 u1, u1} (MvPolynomial.{u3, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (fun (_x : RingHom.{max u3 u1, u1} (MvPolynomial.{u3, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) => (MvPolynomial.{u3, u1} σ R _inst_1) -> R) (RingHom.hasCoeToFun.{max u3 u1, u1} (MvPolynomial.{u3, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.constantCoeff.{u1, u3} R σ _inst_1) p))
-but is expected to have type
-  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] [_inst_3 : Algebra.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2)] (p : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : MvPolynomial.{u1, u2} σ R _inst_1) => S₁) p) (FunLike.coe.{max (max (succ u3) (succ u1)) (succ u2), max (succ u1) (succ u2), succ u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : MvPolynomial.{u1, u2} σ R _inst_1) => S₁) _x) (SMulHomClass.toFunLike.{max (max u3 u1) u2, u2, max u1 u2, u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (SMulZeroClass.toSMul.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (AddMonoid.toZero.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (DistribSMul.toSMulZeroClass.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (DistribMulAction.toDistribSMul.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))))))) (SMulZeroClass.toSMul.{u2, u3} R S₁ (AddMonoid.toZero.{u3} S₁ (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (DistribSMul.toSMulZeroClass.{u2, u3} R S₁ (AddMonoid.toAddZeroClass.{u3} S₁ (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (DistribMulAction.toDistribSMul.{u2, u3} R S₁ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))))) (Module.toDistribMulAction.{u2, u3} R S₁ (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (Algebra.toModule.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3))))) (DistribMulActionHomClass.toSMulHomClass.{max (max u3 u1) u2, u2, max u1 u2, u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (Module.toDistribMulAction.{u2, u3} R S₁ (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (Algebra.toModule.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max (max u3 u1) u2, u2, max u1 u2, u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (Module.toDistribMulAction.{u2, u3} R S₁ (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (Algebra.toModule.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u2, max u1 u2, u3, max (max u3 u1) u2} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3 (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) (AlgHom.algHomClass.{u2, max u1 u2, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3))))) (MvPolynomial.aeval.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 _inst_3 (OfNat.ofNat.{max u3 u1} (σ -> S₁) 0 (Zero.toOfNat0.{max u3 u1} (σ -> S₁) (Pi.instZero.{u1, u3} σ (fun (a._@.Mathlib.Data.MvPolynomial.Basic._hyg.21001 : σ) => S₁) (fun (i : σ) => CommMonoidWithZero.toZero.{u3} S₁ (CommSemiring.toCommMonoidWithZero.{u3} S₁ _inst_2)))))) p) (FunLike.coe.{max (succ u3) (succ u2), succ u2, succ u3} (RingHom.{u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (fun (_x : (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) => S₁) _x) (MulHomClass.toFunLike.{max u3 u2, u2, u3} (RingHom.{u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (NonUnitalNonAssocSemiring.toMul.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u3 u2, u2, u3} (RingHom.{u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u3 u2, u2, u3} (RingHom.{u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (algebraMap.{u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3) (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), succ u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) _x) (MulHomClass.toFunLike.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (RingHom.instRingHomClassRingHom.{max u1 u2, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))))) (MvPolynomial.constantCoeff.{u2, u1} R σ _inst_1) p))
+<too large>
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.aeval_zero MvPolynomial.aeval_zeroₓ'. -/
 @[simp]
 theorem aeval_zero (p : MvPolynomial σ R) :
@@ -2699,10 +2450,7 @@ theorem aeval_zero (p : MvPolynomial σ R) :
 #align mv_polynomial.aeval_zero MvPolynomial.aeval_zero
 
 /- warning: mv_polynomial.aeval_zero' -> MvPolynomial.aeval_zero' is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {S₁ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] [_inst_3 : Algebra.{u1, u2} R S₁ _inst_1 (CommSemiring.toSemiring.{u2} S₁ _inst_2)] (p : MvPolynomial.{u3, u1} σ R _inst_1), Eq.{succ u2} S₁ (coeFn.{max (succ (max u3 u1)) (succ u2), max (succ (max u3 u1)) (succ u2)} (AlgHom.{u1, max u3 u1, u2} R (MvPolynomial.{u3, u1} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (CommSemiring.toSemiring.{u2} S₁ _inst_2) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_3) (fun (_x : AlgHom.{u1, max u3 u1, u2} R (MvPolynomial.{u3, u1} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (CommSemiring.toSemiring.{u2} S₁ _inst_2) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_3) => (MvPolynomial.{u3, u1} σ R _inst_1) -> S₁) ([anonymous].{u1, max u3 u1, u2} R (MvPolynomial.{u3, u1} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (CommSemiring.toSemiring.{u2} S₁ _inst_2) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_3) (MvPolynomial.aeval.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 _inst_3 (fun (_x : σ) => OfNat.ofNat.{u2} S₁ 0 (OfNat.mk.{u2} S₁ 0 (Zero.zero.{u2} S₁ (MulZeroClass.toHasZero.{u2} S₁ (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S₁ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))))))))) p) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (fun (_x : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) => R -> S₁) (RingHom.hasCoeToFun.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (algebraMap.{u1, u2} R S₁ _inst_1 (CommSemiring.toSemiring.{u2} S₁ _inst_2) _inst_3) (coeFn.{max (succ (max u3 u1)) (succ u1), max (succ (max u3 u1)) (succ u1)} (RingHom.{max u3 u1, u1} (MvPolynomial.{u3, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (fun (_x : RingHom.{max u3 u1, u1} (MvPolynomial.{u3, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) => (MvPolynomial.{u3, u1} σ R _inst_1) -> R) (RingHom.hasCoeToFun.{max u3 u1, u1} (MvPolynomial.{u3, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.constantCoeff.{u1, u3} R σ _inst_1) p))
-but is expected to have type
-  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] [_inst_3 : Algebra.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2)] (p : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : MvPolynomial.{u1, u2} σ R _inst_1) => S₁) p) (FunLike.coe.{max (max (succ u3) (succ u1)) (succ u2), max (succ u1) (succ u2), succ u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : MvPolynomial.{u1, u2} σ R _inst_1) => S₁) _x) (SMulHomClass.toFunLike.{max (max u3 u1) u2, u2, max u1 u2, u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (SMulZeroClass.toSMul.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (AddMonoid.toZero.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (DistribSMul.toSMulZeroClass.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (DistribMulAction.toDistribSMul.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))))))) (SMulZeroClass.toSMul.{u2, u3} R S₁ (AddMonoid.toZero.{u3} S₁ (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (DistribSMul.toSMulZeroClass.{u2, u3} R S₁ (AddMonoid.toAddZeroClass.{u3} S₁ (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (DistribMulAction.toDistribSMul.{u2, u3} R S₁ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))))) (Module.toDistribMulAction.{u2, u3} R S₁ (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (Algebra.toModule.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3))))) (DistribMulActionHomClass.toSMulHomClass.{max (max u3 u1) u2, u2, max u1 u2, u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (Module.toDistribMulAction.{u2, u3} R S₁ (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (Algebra.toModule.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max (max u3 u1) u2, u2, max u1 u2, u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (Module.toDistribMulAction.{u2, u3} R S₁ (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (Algebra.toModule.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u2, max u1 u2, u3, max (max u3 u1) u2} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3 (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) (AlgHom.algHomClass.{u2, max u1 u2, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3))))) (MvPolynomial.aeval.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 _inst_3 (fun (_x : σ) => OfNat.ofNat.{u3} S₁ 0 (Zero.toOfNat0.{u3} S₁ (CommMonoidWithZero.toZero.{u3} S₁ (CommSemiring.toCommMonoidWithZero.{u3} S₁ _inst_2))))) p) (FunLike.coe.{max (succ u3) (succ u2), succ u2, succ u3} (RingHom.{u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (fun (_x : (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) => S₁) _x) (MulHomClass.toFunLike.{max u3 u2, u2, u3} (RingHom.{u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (NonUnitalNonAssocSemiring.toMul.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u3 u2, u2, u3} (RingHom.{u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u3 u2, u2, u3} (RingHom.{u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (algebraMap.{u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3) (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), succ u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) _x) (MulHomClass.toFunLike.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (RingHom.instRingHomClassRingHom.{max u1 u2, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))))) (MvPolynomial.constantCoeff.{u2, u1} R σ _inst_1) p))
+<too large>
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.aeval_zero' MvPolynomial.aeval_zero'ₓ'. -/
 @[simp]
 theorem aeval_zero' (p : MvPolynomial σ R) :
@@ -2733,10 +2481,7 @@ theorem eval_zero' : eval (fun _ => 0 : σ → R) = constantCoeff :=
 #align mv_polynomial.eval_zero' MvPolynomial.eval_zero'
 
 /- warning: mv_polynomial.aeval_monomial -> MvPolynomial.aeval_monomial is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {S₁ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] [_inst_3 : Algebra.{u1, u2} R S₁ _inst_1 (CommSemiring.toSemiring.{u2} S₁ _inst_2)] (g : σ -> S₁) (d : Finsupp.{u3, 0} σ Nat Nat.hasZero) (r : R), Eq.{succ u2} S₁ (coeFn.{max (succ (max u3 u1)) (succ u2), max (succ (max u3 u1)) (succ u2)} (AlgHom.{u1, max u3 u1, u2} R (MvPolynomial.{u3, u1} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (CommSemiring.toSemiring.{u2} S₁ _inst_2) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_3) (fun (_x : AlgHom.{u1, max u3 u1, u2} R (MvPolynomial.{u3, u1} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (CommSemiring.toSemiring.{u2} S₁ _inst_2) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_3) => (MvPolynomial.{u3, u1} σ R _inst_1) -> S₁) ([anonymous].{u1, max u3 u1, u2} R (MvPolynomial.{u3, u1} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (CommSemiring.toSemiring.{u2} S₁ _inst_2) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_3) (MvPolynomial.aeval.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 _inst_3 g) (coeFn.{max (succ u1) (succ (max u3 u1)), max (succ u1) (succ (max u3 u1))} (LinearMap.{u1, u1, u1, max u3 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u3, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u3 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u3, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u3, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u3 u1} R R R (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u3} R σ _inst_1 d) r)) (HMul.hMul.{u2, u2, u2} S₁ S₁ S₁ (instHMul.{u2} S₁ (Distrib.toHasMul.{u2} S₁ (NonUnitalNonAssocSemiring.toDistrib.{u2} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S₁ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)))))) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (fun (_x : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) => R -> S₁) (RingHom.hasCoeToFun.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (algebraMap.{u1, u2} R S₁ _inst_1 (CommSemiring.toSemiring.{u2} S₁ _inst_2) _inst_3) r) (Finsupp.prod.{u3, 0, u2} σ Nat S₁ Nat.hasZero (CommSemiring.toCommMonoid.{u2} S₁ _inst_2) d (fun (i : σ) (k : Nat) => HPow.hPow.{u2, 0, u2} S₁ Nat S₁ (instHPow.{u2, 0} S₁ Nat (Monoid.Pow.{u2} S₁ (MonoidWithZero.toMonoid.{u2} S₁ (Semiring.toMonoidWithZero.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))))) (g i) k)))
-but is expected to have type
-  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] [_inst_3 : Algebra.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2)] (g : σ -> S₁) (d : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (r : R), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : MvPolynomial.{u1, u2} σ R _inst_1) => S₁) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (a : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 d) r)) (FunLike.coe.{max (max (succ u3) (succ u1)) (succ u2), max (succ u1) (succ u2), succ u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : MvPolynomial.{u1, u2} σ R _inst_1) => S₁) _x) (SMulHomClass.toFunLike.{max (max u3 u1) u2, u2, max u1 u2, u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (SMulZeroClass.toSMul.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (AddMonoid.toZero.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (DistribSMul.toSMulZeroClass.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (DistribMulAction.toDistribSMul.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))))))) (SMulZeroClass.toSMul.{u2, u3} R S₁ (AddMonoid.toZero.{u3} S₁ (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (DistribSMul.toSMulZeroClass.{u2, u3} R S₁ (AddMonoid.toAddZeroClass.{u3} S₁ (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (DistribMulAction.toDistribSMul.{u2, u3} R S₁ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))))) (Module.toDistribMulAction.{u2, u3} R S₁ (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (Algebra.toModule.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3))))) (DistribMulActionHomClass.toSMulHomClass.{max (max u3 u1) u2, u2, max u1 u2, u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (Module.toDistribMulAction.{u2, u3} R S₁ (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (Algebra.toModule.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max (max u3 u1) u2, u2, max u1 u2, u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (Module.toDistribMulAction.{u2, u3} R S₁ (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (Algebra.toModule.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u2, max u1 u2, u3, max (max u3 u1) u2} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3 (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) (AlgHom.algHomClass.{u2, max u1 u2, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3))))) (MvPolynomial.aeval.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 _inst_3 g) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 d) r)) (HMul.hMul.{u3, u3, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) S₁ ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : MvPolynomial.{u1, u2} σ R _inst_1) => S₁) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (a : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 d) r)) (instHMul.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) (NonUnitalNonAssocSemiring.toMul.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) (Semiring.toNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) _inst_2))))) (FunLike.coe.{max (succ u3) (succ u2), succ u2, succ u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) _x) (MulHomClass.toFunLike.{max u3 u2, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u3 u2, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u3 u2, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (algebraMap.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3) r) (Finsupp.prod.{u1, 0, u3} σ Nat S₁ (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) (CommSemiring.toCommMonoid.{u3} S₁ _inst_2) d (fun (i : σ) (k : Nat) => HPow.hPow.{u3, 0, u3} S₁ Nat S₁ (instHPow.{u3, 0} S₁ Nat (Monoid.Pow.{u3} S₁ (MonoidWithZero.toMonoid.{u3} S₁ (Semiring.toMonoidWithZero.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))))) (g i) k)))
+<too large>
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.aeval_monomial MvPolynomial.aeval_monomialₓ'. -/
 theorem aeval_monomial (g : σ → S₁) (d : σ →₀ ℕ) (r : R) :
     aeval g (monomial d r) = algebraMap _ _ r * d.Prod fun i k => g i ^ k :=
@@ -2761,10 +2506,7 @@ theorem eval₂Hom_eq_zero (f : R →+* S₂) (g : σ → S₂) (φ : MvPolynomi
 #align mv_polynomial.eval₂_hom_eq_zero MvPolynomial.eval₂Hom_eq_zero
 
 /- warning: mv_polynomial.aeval_eq_zero -> MvPolynomial.aeval_eq_zero is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {S₂ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_4 : CommSemiring.{u2} S₂] [_inst_5 : Algebra.{u1, u2} R S₂ _inst_1 (CommSemiring.toSemiring.{u2} S₂ _inst_4)] (f : σ -> S₂) (φ : MvPolynomial.{u3, u1} σ R _inst_1), (forall (d : Finsupp.{u3, 0} σ Nat Nat.hasZero), (Ne.{succ u1} R (MvPolynomial.coeff.{u1, u3} R σ _inst_1 d φ) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))))))) -> (Exists.{succ u3} σ (fun (i : σ) => Exists.{0} (Membership.Mem.{u3, u3} σ (Finset.{u3} σ) (Finset.hasMem.{u3} σ) i (Finsupp.support.{u3, 0} σ Nat Nat.hasZero d)) (fun (H : Membership.Mem.{u3, u3} σ (Finset.{u3} σ) (Finset.hasMem.{u3} σ) i (Finsupp.support.{u3, 0} σ Nat Nat.hasZero d)) => Eq.{succ u2} S₂ (f i) (OfNat.ofNat.{u2} S₂ 0 (OfNat.mk.{u2} S₂ 0 (Zero.zero.{u2} S₂ (MulZeroClass.toHasZero.{u2} S₂ (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S₂ (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4)))))))))))) -> (Eq.{succ u2} S₂ (coeFn.{max (succ (max u3 u1)) (succ u2), max (succ (max u3 u1)) (succ u2)} (AlgHom.{u1, max u3 u1, u2} R (MvPolynomial.{u3, u1} σ R _inst_1) S₂ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (CommSemiring.toSemiring.{u2} S₂ _inst_4) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_5) (fun (_x : AlgHom.{u1, max u3 u1, u2} R (MvPolynomial.{u3, u1} σ R _inst_1) S₂ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (CommSemiring.toSemiring.{u2} S₂ _inst_4) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_5) => (MvPolynomial.{u3, u1} σ R _inst_1) -> S₂) ([anonymous].{u1, max u3 u1, u2} R (MvPolynomial.{u3, u1} σ R _inst_1) S₂ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (CommSemiring.toSemiring.{u2} S₂ _inst_4) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_5) (MvPolynomial.aeval.{u1, u2, u3} R S₂ σ _inst_1 _inst_4 _inst_5 f) φ) (OfNat.ofNat.{u2} S₂ 0 (OfNat.mk.{u2} S₂ 0 (Zero.zero.{u2} S₂ (MulZeroClass.toHasZero.{u2} S₂ (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S₂ (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4)))))))))
-but is expected to have type
-  forall {R : Type.{u2}} {S₂ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_4 : CommSemiring.{u3} S₂] [_inst_5 : Algebra.{u2, u3} R S₂ _inst_1 (CommSemiring.toSemiring.{u3} S₂ _inst_4)] (f : σ -> S₂) (φ : MvPolynomial.{u1, u2} σ R _inst_1), (forall (d : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)), (Ne.{succ u2} R (MvPolynomial.coeff.{u2, u1} R σ _inst_1 d φ) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))))) -> (Exists.{succ u1} σ (fun (i : σ) => And (Membership.mem.{u1, u1} σ (Finset.{u1} σ) (Finset.instMembershipFinset.{u1} σ) i (Finsupp.support.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) d)) (Eq.{succ u3} S₂ (f i) (OfNat.ofNat.{u3} S₂ 0 (Zero.toOfNat0.{u3} S₂ (CommMonoidWithZero.toZero.{u3} S₂ (CommSemiring.toCommMonoidWithZero.{u3} S₂ _inst_4)))))))) -> (Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : MvPolynomial.{u1, u2} σ R _inst_1) => S₂) φ) (FunLike.coe.{max (max (succ u3) (succ u1)) (succ u2), max (succ u1) (succ u2), succ u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₂ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₂ _inst_4) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_5) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : MvPolynomial.{u1, u2} σ R _inst_1) => S₂) _x) (SMulHomClass.toFunLike.{max (max u3 u1) u2, u2, max u1 u2, u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₂ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₂ _inst_4) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_5) R (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (SMulZeroClass.toSMul.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (AddMonoid.toZero.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (DistribSMul.toSMulZeroClass.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (DistribMulAction.toDistribSMul.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))))))) (SMulZeroClass.toSMul.{u2, u3} R S₂ (AddMonoid.toZero.{u3} S₂ (AddCommMonoid.toAddMonoid.{u3} S₂ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)))))) (DistribSMul.toSMulZeroClass.{u2, u3} R S₂ (AddMonoid.toAddZeroClass.{u3} S₂ (AddCommMonoid.toAddMonoid.{u3} S₂ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)))))) (DistribMulAction.toDistribSMul.{u2, u3} R S₂ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{u3} S₂ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))))) (Module.toDistribMulAction.{u2, u3} R S₂ (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)))) (Algebra.toModule.{u2, u3} R S₂ _inst_1 (CommSemiring.toSemiring.{u3} S₂ _inst_4) _inst_5))))) (DistribMulActionHomClass.toSMulHomClass.{max (max u3 u1) u2, u2, max u1 u2, u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₂ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₂ _inst_4) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_5) R (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (AddCommMonoid.toAddMonoid.{u3} S₂ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (Module.toDistribMulAction.{u2, u3} R S₂ (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)))) (Algebra.toModule.{u2, u3} R S₂ _inst_1 (CommSemiring.toSemiring.{u3} S₂ _inst_4) _inst_5)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max (max u3 u1) u2, u2, max u1 u2, u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₂ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₂ _inst_4) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_5) R (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (Module.toDistribMulAction.{u2, u3} R S₂ (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)))) (Algebra.toModule.{u2, u3} R S₂ _inst_1 (CommSemiring.toSemiring.{u3} S₂ _inst_4) _inst_5)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u2, max u1 u2, u3, max (max u3 u1) u2} R (MvPolynomial.{u1, u2} σ R _inst_1) S₂ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₂ _inst_4) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_5 (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₂ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₂ _inst_4) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_5) (AlgHom.algHomClass.{u2, max u1 u2, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₂ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₂ _inst_4) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_5))))) (MvPolynomial.aeval.{u2, u3, u1} R S₂ σ _inst_1 _inst_4 _inst_5 f) φ) (OfNat.ofNat.{u3} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : MvPolynomial.{u1, u2} σ R _inst_1) => S₂) φ) 0 (Zero.toOfNat0.{u3} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : MvPolynomial.{u1, u2} σ R _inst_1) => S₂) φ) (CommMonoidWithZero.toZero.{u3} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : MvPolynomial.{u1, u2} σ R _inst_1) => S₂) φ) (CommSemiring.toCommMonoidWithZero.{u3} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : MvPolynomial.{u1, u2} σ R _inst_1) => S₂) φ) _inst_4)))))
+<too large>
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.aeval_eq_zero MvPolynomial.aeval_eq_zeroₓ'. -/
 theorem aeval_eq_zero [Algebra R S₂] (f : σ → S₂) (φ : MvPolynomial σ R)
     (h : ∀ d, φ.coeff d ≠ 0 → ∃ i ∈ d.support, f i = 0) : aeval f φ = 0 :=
@@ -2772,10 +2514,7 @@ theorem aeval_eq_zero [Algebra R S₂] (f : σ → S₂) (φ : MvPolynomial σ R
 #align mv_polynomial.aeval_eq_zero MvPolynomial.aeval_eq_zero
 
 /- warning: mv_polynomial.aeval_sum -> MvPolynomial.aeval_sum is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {S₁ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] [_inst_3 : Algebra.{u1, u2} R S₁ _inst_1 (CommSemiring.toSemiring.{u2} S₁ _inst_2)] (f : σ -> S₁) {ι : Type.{u4}} (s : Finset.{u4} ι) (φ : ι -> (MvPolynomial.{u3, u1} σ R _inst_1)), Eq.{succ u2} S₁ (coeFn.{max (succ (max u3 u1)) (succ u2), max (succ (max u3 u1)) (succ u2)} (AlgHom.{u1, max u3 u1, u2} R (MvPolynomial.{u3, u1} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (CommSemiring.toSemiring.{u2} S₁ _inst_2) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_3) (fun (_x : AlgHom.{u1, max u3 u1, u2} R (MvPolynomial.{u3, u1} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (CommSemiring.toSemiring.{u2} S₁ _inst_2) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_3) => (MvPolynomial.{u3, u1} σ R _inst_1) -> S₁) ([anonymous].{u1, max u3 u1, u2} R (MvPolynomial.{u3, u1} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (CommSemiring.toSemiring.{u2} S₁ _inst_2) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_3) (MvPolynomial.aeval.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 _inst_3 f) (Finset.sum.{max u3 u1, u4} (MvPolynomial.{u3, u1} σ R _inst_1) ι (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) s (fun (i : ι) => φ i))) (Finset.sum.{u2, u4} S₁ ι (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S₁ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)))) s (fun (i : ι) => coeFn.{max (succ (max u3 u1)) (succ u2), max (succ (max u3 u1)) (succ u2)} (AlgHom.{u1, max u3 u1, u2} R (MvPolynomial.{u3, u1} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (CommSemiring.toSemiring.{u2} S₁ _inst_2) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_3) (fun (_x : AlgHom.{u1, max u3 u1, u2} R (MvPolynomial.{u3, u1} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (CommSemiring.toSemiring.{u2} S₁ _inst_2) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_3) => (MvPolynomial.{u3, u1} σ R _inst_1) -> S₁) ([anonymous].{u1, max u3 u1, u2} R (MvPolynomial.{u3, u1} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (CommSemiring.toSemiring.{u2} S₁ _inst_2) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_3) (MvPolynomial.aeval.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 _inst_3 f) (φ i)))
-but is expected to have type
-  forall {R : Type.{u3}} {S₁ : Type.{u4}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u3} R] [_inst_2 : CommSemiring.{u4} S₁] [_inst_3 : Algebra.{u3, u4} R S₁ _inst_1 (CommSemiring.toSemiring.{u4} S₁ _inst_2)] (f : σ -> S₁) {ι : Type.{u2}} (s : Finset.{u2} ι) (φ : ι -> (MvPolynomial.{u1, u3} σ R _inst_1)), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : MvPolynomial.{u1, u3} σ R _inst_1) => S₁) (Finset.sum.{max u1 u3, u2} (MvPolynomial.{u1, u3} σ R _inst_1) ι (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) s (fun (i : ι) => φ i))) (FunLike.coe.{max (max (succ u4) (succ u1)) (succ u3), max (succ u1) (succ u3), succ u4} (AlgHom.{u3, max u3 u1, u4} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3) (MvPolynomial.{u1, u3} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u3} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : MvPolynomial.{u1, u3} σ R _inst_1) => S₁) _x) (SMulHomClass.toFunLike.{max (max u4 u1) u3, u3, max u1 u3, u4} (AlgHom.{u3, max u3 u1, u4} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ (SMulZeroClass.toSMul.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (AddMonoid.toZero.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))))) (DistribSMul.toSMulZeroClass.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))))) (DistribMulAction.toDistribSMul.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))))) (Module.toDistribMulAction.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Algebra.toModule.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1))))))) (SMulZeroClass.toSMul.{u3, u4} R S₁ (AddMonoid.toZero.{u4} S₁ (AddCommMonoid.toAddMonoid.{u4} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))))) (DistribSMul.toSMulZeroClass.{u3, u4} R S₁ (AddMonoid.toAddZeroClass.{u4} S₁ (AddCommMonoid.toAddMonoid.{u4} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))))) (DistribMulAction.toDistribSMul.{u3, u4} R S₁ (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (AddCommMonoid.toAddMonoid.{u4} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2))))) (Module.toDistribMulAction.{u3, u4} R S₁ (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))) (Algebra.toModule.{u3, u4} R S₁ _inst_1 (CommSemiring.toSemiring.{u4} S₁ _inst_2) _inst_3))))) (DistribMulActionHomClass.toSMulHomClass.{max (max u4 u1) u3, u3, max u1 u3, u4} (AlgHom.{u3, max u3 u1, u4} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))))) (AddCommMonoid.toAddMonoid.{u4} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2))))) (Module.toDistribMulAction.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Algebra.toModule.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)))) (Module.toDistribMulAction.{u3, u4} R S₁ (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))) (Algebra.toModule.{u3, u4} R S₁ _inst_1 (CommSemiring.toSemiring.{u4} S₁ _inst_2) _inst_3)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max (max u4 u1) u3, u3, max u1 u3, u4} (AlgHom.{u3, max u3 u1, u4} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2))) (Module.toDistribMulAction.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Algebra.toModule.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)))) (Module.toDistribMulAction.{u3, u4} R S₁ (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))) (Algebra.toModule.{u3, u4} R S₁ _inst_1 (CommSemiring.toSemiring.{u4} S₁ _inst_2) _inst_3)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u3, max u1 u3, u4, max (max u4 u1) u3} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3 (AlgHom.{u3, max u3 u1, u4} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3) (AlgHom.algHomClass.{u3, max u1 u3, u4} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3))))) (MvPolynomial.aeval.{u3, u4, u1} R S₁ σ _inst_1 _inst_2 _inst_3 f) (Finset.sum.{max u1 u3, u2} (MvPolynomial.{u1, u3} σ R _inst_1) ι (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) s (fun (i : ι) => φ i))) (Finset.sum.{u4, u2} S₁ ι (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))) s (fun (i : ι) => FunLike.coe.{max (max (succ u4) (succ u1)) (succ u3), max (succ u1) (succ u3), succ u4} (AlgHom.{u3, max u3 u1, u4} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3) (MvPolynomial.{u1, u3} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u3} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : MvPolynomial.{u1, u3} σ R _inst_1) => S₁) _x) (SMulHomClass.toFunLike.{max (max u4 u1) u3, u3, max u1 u3, u4} (AlgHom.{u3, max u3 u1, u4} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ (SMulZeroClass.toSMul.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (AddMonoid.toZero.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))))) (DistribSMul.toSMulZeroClass.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))))) (DistribMulAction.toDistribSMul.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))))) (Module.toDistribMulAction.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Algebra.toModule.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1))))))) (SMulZeroClass.toSMul.{u3, u4} R S₁ (AddMonoid.toZero.{u4} S₁ (AddCommMonoid.toAddMonoid.{u4} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))))) (DistribSMul.toSMulZeroClass.{u3, u4} R S₁ (AddMonoid.toAddZeroClass.{u4} S₁ (AddCommMonoid.toAddMonoid.{u4} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))))) (DistribMulAction.toDistribSMul.{u3, u4} R S₁ (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (AddCommMonoid.toAddMonoid.{u4} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2))))) (Module.toDistribMulAction.{u3, u4} R S₁ (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))) (Algebra.toModule.{u3, u4} R S₁ _inst_1 (CommSemiring.toSemiring.{u4} S₁ _inst_2) _inst_3))))) (DistribMulActionHomClass.toSMulHomClass.{max (max u4 u1) u3, u3, max u1 u3, u4} (AlgHom.{u3, max u3 u1, u4} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))))) (AddCommMonoid.toAddMonoid.{u4} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2))))) (Module.toDistribMulAction.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Algebra.toModule.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)))) (Module.toDistribMulAction.{u3, u4} R S₁ (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))) (Algebra.toModule.{u3, u4} R S₁ _inst_1 (CommSemiring.toSemiring.{u4} S₁ _inst_2) _inst_3)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max (max u4 u1) u3, u3, max u1 u3, u4} (AlgHom.{u3, max u3 u1, u4} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2))) (Module.toDistribMulAction.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Algebra.toModule.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)))) (Module.toDistribMulAction.{u3, u4} R S₁ (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))) (Algebra.toModule.{u3, u4} R S₁ _inst_1 (CommSemiring.toSemiring.{u4} S₁ _inst_2) _inst_3)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u3, max u1 u3, u4, max (max u4 u1) u3} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3 (AlgHom.{u3, max u3 u1, u4} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3) (AlgHom.algHomClass.{u3, max u1 u3, u4} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3))))) (MvPolynomial.aeval.{u3, u4, u1} R S₁ σ _inst_1 _inst_2 _inst_3 f) (φ i)))
+<too large>
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.aeval_sum MvPolynomial.aeval_sumₓ'. -/
 theorem aeval_sum {ι : Type _} (s : Finset ι) (φ : ι → MvPolynomial σ R) :
     aeval f (∑ i in s, φ i) = ∑ i in s, aeval f (φ i) :=
@@ -2783,10 +2522,7 @@ theorem aeval_sum {ι : Type _} (s : Finset ι) (φ : ι → MvPolynomial σ R)
 #align mv_polynomial.aeval_sum MvPolynomial.aeval_sum
 
 /- warning: mv_polynomial.aeval_prod -> MvPolynomial.aeval_prod is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {S₁ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] [_inst_3 : Algebra.{u1, u2} R S₁ _inst_1 (CommSemiring.toSemiring.{u2} S₁ _inst_2)] (f : σ -> S₁) {ι : Type.{u4}} (s : Finset.{u4} ι) (φ : ι -> (MvPolynomial.{u3, u1} σ R _inst_1)), Eq.{succ u2} S₁ (coeFn.{max (succ (max u3 u1)) (succ u2), max (succ (max u3 u1)) (succ u2)} (AlgHom.{u1, max u3 u1, u2} R (MvPolynomial.{u3, u1} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (CommSemiring.toSemiring.{u2} S₁ _inst_2) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_3) (fun (_x : AlgHom.{u1, max u3 u1, u2} R (MvPolynomial.{u3, u1} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (CommSemiring.toSemiring.{u2} S₁ _inst_2) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_3) => (MvPolynomial.{u3, u1} σ R _inst_1) -> S₁) ([anonymous].{u1, max u3 u1, u2} R (MvPolynomial.{u3, u1} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (CommSemiring.toSemiring.{u2} S₁ _inst_2) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_3) (MvPolynomial.aeval.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 _inst_3 f) (Finset.prod.{max u3 u1, u4} (MvPolynomial.{u3, u1} σ R _inst_1) ι (CommSemiring.toCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) s (fun (i : ι) => φ i))) (Finset.prod.{u2, u4} S₁ ι (CommSemiring.toCommMonoid.{u2} S₁ _inst_2) s (fun (i : ι) => coeFn.{max (succ (max u3 u1)) (succ u2), max (succ (max u3 u1)) (succ u2)} (AlgHom.{u1, max u3 u1, u2} R (MvPolynomial.{u3, u1} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (CommSemiring.toSemiring.{u2} S₁ _inst_2) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_3) (fun (_x : AlgHom.{u1, max u3 u1, u2} R (MvPolynomial.{u3, u1} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (CommSemiring.toSemiring.{u2} S₁ _inst_2) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_3) => (MvPolynomial.{u3, u1} σ R _inst_1) -> S₁) ([anonymous].{u1, max u3 u1, u2} R (MvPolynomial.{u3, u1} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (CommSemiring.toSemiring.{u2} S₁ _inst_2) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_3) (MvPolynomial.aeval.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 _inst_3 f) (φ i)))
-but is expected to have type
-  forall {R : Type.{u3}} {S₁ : Type.{u4}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u3} R] [_inst_2 : CommSemiring.{u4} S₁] [_inst_3 : Algebra.{u3, u4} R S₁ _inst_1 (CommSemiring.toSemiring.{u4} S₁ _inst_2)] (f : σ -> S₁) {ι : Type.{u2}} (s : Finset.{u2} ι) (φ : ι -> (MvPolynomial.{u1, u3} σ R _inst_1)), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : MvPolynomial.{u1, u3} σ R _inst_1) => S₁) (Finset.prod.{max u1 u3, u2} (MvPolynomial.{u1, u3} σ R _inst_1) ι (CommSemiring.toCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) s (fun (i : ι) => φ i))) (FunLike.coe.{max (max (succ u4) (succ u1)) (succ u3), max (succ u1) (succ u3), succ u4} (AlgHom.{u3, max u3 u1, u4} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3) (MvPolynomial.{u1, u3} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u3} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : MvPolynomial.{u1, u3} σ R _inst_1) => S₁) _x) (SMulHomClass.toFunLike.{max (max u4 u1) u3, u3, max u1 u3, u4} (AlgHom.{u3, max u3 u1, u4} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ (SMulZeroClass.toSMul.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (AddMonoid.toZero.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))))) (DistribSMul.toSMulZeroClass.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))))) (DistribMulAction.toDistribSMul.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))))) (Module.toDistribMulAction.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Algebra.toModule.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1))))))) (SMulZeroClass.toSMul.{u3, u4} R S₁ (AddMonoid.toZero.{u4} S₁ (AddCommMonoid.toAddMonoid.{u4} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))))) (DistribSMul.toSMulZeroClass.{u3, u4} R S₁ (AddMonoid.toAddZeroClass.{u4} S₁ (AddCommMonoid.toAddMonoid.{u4} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))))) (DistribMulAction.toDistribSMul.{u3, u4} R S₁ (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (AddCommMonoid.toAddMonoid.{u4} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2))))) (Module.toDistribMulAction.{u3, u4} R S₁ (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))) (Algebra.toModule.{u3, u4} R S₁ _inst_1 (CommSemiring.toSemiring.{u4} S₁ _inst_2) _inst_3))))) (DistribMulActionHomClass.toSMulHomClass.{max (max u4 u1) u3, u3, max u1 u3, u4} (AlgHom.{u3, max u3 u1, u4} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))))) (AddCommMonoid.toAddMonoid.{u4} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2))))) (Module.toDistribMulAction.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Algebra.toModule.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)))) (Module.toDistribMulAction.{u3, u4} R S₁ (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))) (Algebra.toModule.{u3, u4} R S₁ _inst_1 (CommSemiring.toSemiring.{u4} S₁ _inst_2) _inst_3)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max (max u4 u1) u3, u3, max u1 u3, u4} (AlgHom.{u3, max u3 u1, u4} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2))) (Module.toDistribMulAction.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Algebra.toModule.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)))) (Module.toDistribMulAction.{u3, u4} R S₁ (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))) (Algebra.toModule.{u3, u4} R S₁ _inst_1 (CommSemiring.toSemiring.{u4} S₁ _inst_2) _inst_3)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u3, max u1 u3, u4, max (max u4 u1) u3} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3 (AlgHom.{u3, max u3 u1, u4} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3) (AlgHom.algHomClass.{u3, max u1 u3, u4} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3))))) (MvPolynomial.aeval.{u3, u4, u1} R S₁ σ _inst_1 _inst_2 _inst_3 f) (Finset.prod.{max u1 u3, u2} (MvPolynomial.{u1, u3} σ R _inst_1) ι (CommSemiring.toCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) s (fun (i : ι) => φ i))) (Finset.prod.{u4, u2} S₁ ι (CommSemiring.toCommMonoid.{u4} S₁ _inst_2) s (fun (i : ι) => FunLike.coe.{max (max (succ u4) (succ u1)) (succ u3), max (succ u1) (succ u3), succ u4} (AlgHom.{u3, max u3 u1, u4} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3) (MvPolynomial.{u1, u3} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u3} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : MvPolynomial.{u1, u3} σ R _inst_1) => S₁) _x) (SMulHomClass.toFunLike.{max (max u4 u1) u3, u3, max u1 u3, u4} (AlgHom.{u3, max u3 u1, u4} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ (SMulZeroClass.toSMul.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (AddMonoid.toZero.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))))) (DistribSMul.toSMulZeroClass.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))))) (DistribMulAction.toDistribSMul.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))))) (Module.toDistribMulAction.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Algebra.toModule.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1))))))) (SMulZeroClass.toSMul.{u3, u4} R S₁ (AddMonoid.toZero.{u4} S₁ (AddCommMonoid.toAddMonoid.{u4} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))))) (DistribSMul.toSMulZeroClass.{u3, u4} R S₁ (AddMonoid.toAddZeroClass.{u4} S₁ (AddCommMonoid.toAddMonoid.{u4} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))))) (DistribMulAction.toDistribSMul.{u3, u4} R S₁ (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (AddCommMonoid.toAddMonoid.{u4} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2))))) (Module.toDistribMulAction.{u3, u4} R S₁ (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))) (Algebra.toModule.{u3, u4} R S₁ _inst_1 (CommSemiring.toSemiring.{u4} S₁ _inst_2) _inst_3))))) (DistribMulActionHomClass.toSMulHomClass.{max (max u4 u1) u3, u3, max u1 u3, u4} (AlgHom.{u3, max u3 u1, u4} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))))) (AddCommMonoid.toAddMonoid.{u4} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2))))) (Module.toDistribMulAction.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Algebra.toModule.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)))) (Module.toDistribMulAction.{u3, u4} R S₁ (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))) (Algebra.toModule.{u3, u4} R S₁ _inst_1 (CommSemiring.toSemiring.{u4} S₁ _inst_2) _inst_3)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max (max u4 u1) u3, u3, max u1 u3, u4} (AlgHom.{u3, max u3 u1, u4} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2))) (Module.toDistribMulAction.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Algebra.toModule.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)))) (Module.toDistribMulAction.{u3, u4} R S₁ (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))) (Algebra.toModule.{u3, u4} R S₁ _inst_1 (CommSemiring.toSemiring.{u4} S₁ _inst_2) _inst_3)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u3, max u1 u3, u4, max (max u4 u1) u3} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3 (AlgHom.{u3, max u3 u1, u4} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3) (AlgHom.algHomClass.{u3, max u1 u3, u4} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3))))) (MvPolynomial.aeval.{u3, u4, u1} R S₁ σ _inst_1 _inst_2 _inst_3 f) (φ i)))
+<too large>
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.aeval_prod MvPolynomial.aeval_prodₓ'. -/
 @[to_additive]
 theorem aeval_prod {ι : Type _} (s : Finset ι) (φ : ι → MvPolynomial σ R) :
@@ -2837,10 +2573,7 @@ def aevalTower (f : R →ₐ[S] A) (x : σ → A) : MvPolynomial σ R →ₐ[S]
 variable (g : R →ₐ[S] A) (y : σ → A)
 
 /- warning: mv_polynomial.aeval_tower_X -> MvPolynomial.aevalTower_X is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {S : Type.{u3}} {A : Type.{u4}} [_inst_3 : CommSemiring.{u3} S] [_inst_4 : CommSemiring.{u4} A] [_inst_6 : Algebra.{u3, u1} S R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_1)] [_inst_7 : Algebra.{u3, u4} S A _inst_3 (CommSemiring.toSemiring.{u4} A _inst_4)] (g : AlgHom.{u3, u1, u4} S R A _inst_3 (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u4} A _inst_4) _inst_6 _inst_7) (y : σ -> A) (i : σ), Eq.{succ u4} A (coeFn.{max (succ (max u2 u1)) (succ u4), max (succ (max u2 u1)) (succ u4)} (AlgHom.{u3, max u2 u1, u4} S (MvPolynomial.{u2, u1} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u4} A _inst_4) (MvPolynomial.algebra.{u3, u1, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) (fun (_x : AlgHom.{u3, max u2 u1, u4} S (MvPolynomial.{u2, u1} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u4} A _inst_4) (MvPolynomial.algebra.{u3, u1, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) => (MvPolynomial.{u2, u1} σ R _inst_1) -> A) ([anonymous].{u3, max u2 u1, u4} S (MvPolynomial.{u2, u1} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u4} A _inst_4) (MvPolynomial.algebra.{u3, u1, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) (MvPolynomial.aevalTower.{u1, u2, u3, u4} R σ _inst_1 S A _inst_3 _inst_4 _inst_6 _inst_7 g y) (MvPolynomial.X.{u1, u2} R σ _inst_1 i)) (y i)
-but is expected to have type
-  forall {R : Type.{u4}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u4} R] {S : Type.{u1}} {A : Type.{u3}} [_inst_3 : CommSemiring.{u1} S] [_inst_4 : CommSemiring.{u3} A] [_inst_6 : Algebra.{u1, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1)] [_inst_7 : Algebra.{u1, u3} S A _inst_3 (CommSemiring.toSemiring.{u3} A _inst_4)] (g : AlgHom.{u1, u4, u3} S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7) (y : σ -> A) (i : σ), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : MvPolynomial.{u2, u4} σ R _inst_1) => A) (MvPolynomial.X.{u4, u2} R σ _inst_1 i)) (FunLike.coe.{max (max (succ u4) (succ u2)) (succ u3), max (succ u4) (succ u2), succ u3} (AlgHom.{u1, max u4 u2, u3} S (MvPolynomial.{u2, u4} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u3} A _inst_4) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) (MvPolynomial.{u2, u4} σ R _inst_1) (fun (_x : MvPolynomial.{u2, u4} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : MvPolynomial.{u2, u4} σ R _inst_1) => A) _x) (SMulHomClass.toFunLike.{max (max u4 u2) u3, u1, max u4 u2, u3} (AlgHom.{u1, max u4 u2, u3} S (MvPolynomial.{u2, u4} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u3} A _inst_4) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) S (MvPolynomial.{u2, u4} σ R _inst_1) A (SMulZeroClass.toSMul.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (AddMonoid.toZero.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))))) (DistribSMul.toSMulZeroClass.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))))) (DistribMulAction.toDistribSMul.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (AddCommMonoid.toAddMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))))) (Module.toDistribMulAction.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))) (Algebra.toModule.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6)))))) (SMulZeroClass.toSMul.{u1, u3} S A (AddMonoid.toZero.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))))) (DistribSMul.toSMulZeroClass.{u1, u3} S A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))))) (DistribMulAction.toDistribSMul.{u1, u3} S A (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4))))) (Module.toDistribMulAction.{u1, u3} S A (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))) (Algebra.toModule.{u1, u3} S A _inst_3 (CommSemiring.toSemiring.{u3} A _inst_4) _inst_7))))) (DistribMulActionHomClass.toSMulHomClass.{max (max u4 u2) u3, u1, max u4 u2, u3} (AlgHom.{u1, max u4 u2, u3} S (MvPolynomial.{u2, u4} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u3} A _inst_4) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) S (MvPolynomial.{u2, u4} σ R _inst_1) A (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (AddCommMonoid.toAddMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))))) (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4))))) (Module.toDistribMulAction.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))) (Algebra.toModule.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6))) (Module.toDistribMulAction.{u1, u3} S A (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))) (Algebra.toModule.{u1, u3} S A _inst_3 (CommSemiring.toSemiring.{u3} A _inst_4) _inst_7)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max (max u4 u2) u3, u1, max u4 u2, u3} (AlgHom.{u1, max u4 u2, u3} S (MvPolynomial.{u2, u4} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u3} A _inst_4) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) S (MvPolynomial.{u2, u4} σ R _inst_1) A (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4))) (Module.toDistribMulAction.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))) (Algebra.toModule.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6))) (Module.toDistribMulAction.{u1, u3} S A (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))) (Algebra.toModule.{u1, u3} S A _inst_3 (CommSemiring.toSemiring.{u3} A _inst_4) _inst_7)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u1, max u4 u2, u3, max (max u4 u2) u3} S (MvPolynomial.{u2, u4} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u3} A _inst_4) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7 (AlgHom.{u1, max u4 u2, u3} S (MvPolynomial.{u2, u4} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u3} A _inst_4) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) (AlgHom.algHomClass.{u1, max u4 u2, u3} S (MvPolynomial.{u2, u4} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u3} A _inst_4) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7))))) (MvPolynomial.aevalTower.{u4, u2, u1, u3} R σ _inst_1 S A _inst_3 _inst_4 _inst_6 _inst_7 g y) (MvPolynomial.X.{u4, u2} R σ _inst_1 i)) (y i)
+<too large>
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.aeval_tower_X MvPolynomial.aevalTower_Xₓ'. -/
 @[simp]
 theorem aevalTower_X (i : σ) : aevalTower g y (X i) = y i :=
@@ -2848,10 +2581,7 @@ theorem aevalTower_X (i : σ) : aevalTower g y (X i) = y i :=
 #align mv_polynomial.aeval_tower_X MvPolynomial.aevalTower_X
 
 /- warning: mv_polynomial.aeval_tower_C -> MvPolynomial.aevalTower_C is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {S : Type.{u3}} {A : Type.{u4}} [_inst_3 : CommSemiring.{u3} S] [_inst_4 : CommSemiring.{u4} A] [_inst_6 : Algebra.{u3, u1} S R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_1)] [_inst_7 : Algebra.{u3, u4} S A _inst_3 (CommSemiring.toSemiring.{u4} A _inst_4)] (g : AlgHom.{u3, u1, u4} S R A _inst_3 (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u4} A _inst_4) _inst_6 _inst_7) (y : σ -> A) (x : R), Eq.{succ u4} A (coeFn.{max (succ (max u2 u1)) (succ u4), max (succ (max u2 u1)) (succ u4)} (AlgHom.{u3, max u2 u1, u4} S (MvPolynomial.{u2, u1} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u4} A _inst_4) (MvPolynomial.algebra.{u3, u1, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) (fun (_x : AlgHom.{u3, max u2 u1, u4} S (MvPolynomial.{u2, u1} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u4} A _inst_4) (MvPolynomial.algebra.{u3, u1, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) => (MvPolynomial.{u2, u1} σ R _inst_1) -> A) ([anonymous].{u3, max u2 u1, u4} S (MvPolynomial.{u2, u1} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u4} A _inst_4) (MvPolynomial.algebra.{u3, u1, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) (MvPolynomial.aevalTower.{u1, u2, u3, u4} R σ _inst_1 S A _inst_3 _inst_4 _inst_6 _inst_7 g y) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (fun (_x : RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (MvPolynomial.C.{u1, u2} R σ _inst_1) x)) (coeFn.{max (succ u1) (succ u4), max (succ u1) (succ u4)} (AlgHom.{u3, u1, u4} S R A _inst_3 (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u4} A _inst_4) _inst_6 _inst_7) (fun (_x : AlgHom.{u3, u1, u4} S R A _inst_3 (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u4} A _inst_4) _inst_6 _inst_7) => R -> A) ([anonymous].{u3, u1, u4} S R A _inst_3 (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u4} A _inst_4) _inst_6 _inst_7) g x)
-but is expected to have type
-  forall {R : Type.{u4}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u4} R] {S : Type.{u1}} {A : Type.{u3}} [_inst_3 : CommSemiring.{u1} S] [_inst_4 : CommSemiring.{u3} A] [_inst_6 : Algebra.{u1, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1)] [_inst_7 : Algebra.{u1, u3} S A _inst_3 (CommSemiring.toSemiring.{u3} A _inst_4)] (g : AlgHom.{u1, u4, u3} S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7) (y : σ -> A) (x : R), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : MvPolynomial.{u2, u4} σ R _inst_1) => A) (FunLike.coe.{max (succ u2) (succ u4), succ u4, max (succ u2) (succ u4)} (RingHom.{u4, max u4 u2} R (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))) R (fun (a : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u2, u4} σ R _inst_1) a) (MulHomClass.toFunLike.{max u2 u4, u4, max u2 u4} (RingHom.{u4, max u4 u2} R (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))) R (MvPolynomial.{u2, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u2 u4} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u4} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u4, u4, max u2 u4} (RingHom.{u4, max u4 u2} R (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))) R (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u4} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u4, u4, max u2 u4} (RingHom.{u4, max u4 u2} R (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))) R (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u4, max u2 u4} R (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))))) (MvPolynomial.C.{u4, u2} R σ _inst_1) x)) (FunLike.coe.{max (max (succ u4) (succ u2)) (succ u3), max (succ u4) (succ u2), succ u3} (AlgHom.{u1, max u4 u2, u3} S (MvPolynomial.{u2, u4} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u3} A _inst_4) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) (MvPolynomial.{u2, u4} σ R _inst_1) (fun (_x : MvPolynomial.{u2, u4} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : MvPolynomial.{u2, u4} σ R _inst_1) => A) _x) (SMulHomClass.toFunLike.{max (max u4 u2) u3, u1, max u4 u2, u3} (AlgHom.{u1, max u4 u2, u3} S (MvPolynomial.{u2, u4} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u3} A _inst_4) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) S (MvPolynomial.{u2, u4} σ R _inst_1) A (SMulZeroClass.toSMul.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (AddMonoid.toZero.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))))) (DistribSMul.toSMulZeroClass.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))))) (DistribMulAction.toDistribSMul.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (AddCommMonoid.toAddMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))))) (Module.toDistribMulAction.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))) (Algebra.toModule.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6)))))) (SMulZeroClass.toSMul.{u1, u3} S A (AddMonoid.toZero.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))))) (DistribSMul.toSMulZeroClass.{u1, u3} S A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))))) (DistribMulAction.toDistribSMul.{u1, u3} S A (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4))))) (Module.toDistribMulAction.{u1, u3} S A (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))) (Algebra.toModule.{u1, u3} S A _inst_3 (CommSemiring.toSemiring.{u3} A _inst_4) _inst_7))))) (DistribMulActionHomClass.toSMulHomClass.{max (max u4 u2) u3, u1, max u4 u2, u3} (AlgHom.{u1, max u4 u2, u3} S (MvPolynomial.{u2, u4} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u3} A _inst_4) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) S (MvPolynomial.{u2, u4} σ R _inst_1) A (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (AddCommMonoid.toAddMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))))) (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4))))) (Module.toDistribMulAction.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))) (Algebra.toModule.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6))) (Module.toDistribMulAction.{u1, u3} S A (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))) (Algebra.toModule.{u1, u3} S A _inst_3 (CommSemiring.toSemiring.{u3} A _inst_4) _inst_7)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max (max u4 u2) u3, u1, max u4 u2, u3} (AlgHom.{u1, max u4 u2, u3} S (MvPolynomial.{u2, u4} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u3} A _inst_4) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) S (MvPolynomial.{u2, u4} σ R _inst_1) A (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4))) (Module.toDistribMulAction.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))) (Algebra.toModule.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6))) (Module.toDistribMulAction.{u1, u3} S A (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))) (Algebra.toModule.{u1, u3} S A _inst_3 (CommSemiring.toSemiring.{u3} A _inst_4) _inst_7)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u1, max u4 u2, u3, max (max u4 u2) u3} S (MvPolynomial.{u2, u4} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u3} A _inst_4) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7 (AlgHom.{u1, max u4 u2, u3} S (MvPolynomial.{u2, u4} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u3} A _inst_4) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) (AlgHom.algHomClass.{u1, max u4 u2, u3} S (MvPolynomial.{u2, u4} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u3} A _inst_4) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7))))) (MvPolynomial.aevalTower.{u4, u2, u1, u3} R σ _inst_1 S A _inst_3 _inst_4 _inst_6 _inst_7 g y) (FunLike.coe.{max (succ u2) (succ u4), succ u4, max (succ u2) (succ u4)} (RingHom.{u4, max u4 u2} R (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u2, u4} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u2 u4, u4, max u2 u4} (RingHom.{u4, max u4 u2} R (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))) R (MvPolynomial.{u2, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u2 u4} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u4} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u4, u4, max u2 u4} (RingHom.{u4, max u4 u2} R (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))) R (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u4} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u4, u4, max u2 u4} (RingHom.{u4, max u4 u2} R (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))) R (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u4, max u2 u4} R (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))))) (MvPolynomial.C.{u4, u2} R σ _inst_1) x)) (FunLike.coe.{max (succ u4) (succ u3), succ u4, succ u3} (AlgHom.{u1, u4, u3} S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : R) => A) _x) (SMulHomClass.toFunLike.{max u4 u3, u1, u4, u3} (AlgHom.{u1, u4, u3} S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7) S R A (SMulZeroClass.toSMul.{u1, u4} S R (AddMonoid.toZero.{u4} R (AddCommMonoid.toAddMonoid.{u4} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))))) (DistribSMul.toSMulZeroClass.{u1, u4} S R (AddMonoid.toAddZeroClass.{u4} R (AddCommMonoid.toAddMonoid.{u4} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))))) (DistribMulAction.toDistribSMul.{u1, u4} S R (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (AddCommMonoid.toAddMonoid.{u4} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))))) (Module.toDistribMulAction.{u1, u4} S R (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (Algebra.toModule.{u1, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) _inst_6))))) (SMulZeroClass.toSMul.{u1, u3} S A (AddMonoid.toZero.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))))) (DistribSMul.toSMulZeroClass.{u1, u3} S A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))))) (DistribMulAction.toDistribSMul.{u1, u3} S A (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4))))) (Module.toDistribMulAction.{u1, u3} S A (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))) (Algebra.toModule.{u1, u3} S A _inst_3 (CommSemiring.toSemiring.{u3} A _inst_4) _inst_7))))) (DistribMulActionHomClass.toSMulHomClass.{max u4 u3, u1, u4, u3} (AlgHom.{u1, u4, u3} S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7) S R A (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (AddCommMonoid.toAddMonoid.{u4} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))))) (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4))))) (Module.toDistribMulAction.{u1, u4} S R (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (Algebra.toModule.{u1, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) _inst_6)) (Module.toDistribMulAction.{u1, u3} S A (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))) (Algebra.toModule.{u1, u3} S A _inst_3 (CommSemiring.toSemiring.{u3} A _inst_4) _inst_7)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max u4 u3, u1, u4, u3} (AlgHom.{u1, u4, u3} S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7) S R A (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4))) (Module.toDistribMulAction.{u1, u4} S R (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (Algebra.toModule.{u1, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) _inst_6)) (Module.toDistribMulAction.{u1, u3} S A (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))) (Algebra.toModule.{u1, u3} S A _inst_3 (CommSemiring.toSemiring.{u3} A _inst_4) _inst_7)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u1, u4, u3, max u4 u3} S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7 (AlgHom.{u1, u4, u3} S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7) (AlgHom.algHomClass.{u1, u4, u3} S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7))))) g x)
+<too large>
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.aeval_tower_C MvPolynomial.aevalTower_Cₓ'. -/
 @[simp]
 theorem aevalTower_C (x : R) : aevalTower g y (C x) = g x :=
@@ -2859,10 +2589,7 @@ theorem aevalTower_C (x : R) : aevalTower g y (C x) = g x :=
 #align mv_polynomial.aeval_tower_C MvPolynomial.aevalTower_C
 
 /- warning: mv_polynomial.aeval_tower_comp_C -> MvPolynomial.aevalTower_comp_C is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {S : Type.{u3}} {A : Type.{u4}} [_inst_3 : CommSemiring.{u3} S] [_inst_4 : CommSemiring.{u4} A] [_inst_6 : Algebra.{u3, u1} S R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_1)] [_inst_7 : Algebra.{u3, u4} S A _inst_3 (CommSemiring.toSemiring.{u4} A _inst_4)] (g : AlgHom.{u3, u1, u4} S R A _inst_3 (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u4} A _inst_4) _inst_6 _inst_7) (y : σ -> A), Eq.{max (succ u1) (succ u4)} (RingHom.{u1, u4} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u4} A (CommSemiring.toSemiring.{u4} A _inst_4))) (RingHom.comp.{u1, max u2 u1, u4} R (MvPolynomial.{u2, u1} σ R _inst_1) A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u4} A (CommSemiring.toSemiring.{u4} A _inst_4)) ((fun (a : Sort.{max (succ (max u2 u1)) (succ u4)}) (b : Sort.{max (succ (max u2 u1)) (succ u4)}) [self : HasLiftT.{max (succ (max u2 u1)) (succ u4), max (succ (max u2 u1)) (succ u4)} a b] => self.0) (AlgHom.{u3, max u2 u1, u4} S (MvPolynomial.{u2, u1} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u4} A _inst_4) (MvPolynomial.algebra.{u3, u1, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) (RingHom.{max u2 u1, u4} (MvPolynomial.{u2, u1} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u4} A (CommSemiring.toSemiring.{u4} A _inst_4))) (HasLiftT.mk.{max (succ (max u2 u1)) (succ u4), max (succ (max u2 u1)) (succ u4)} (AlgHom.{u3, max u2 u1, u4} S (MvPolynomial.{u2, u1} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u4} A _inst_4) (MvPolynomial.algebra.{u3, u1, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) (RingHom.{max u2 u1, u4} (MvPolynomial.{u2, u1} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u4} A (CommSemiring.toSemiring.{u4} A _inst_4))) (CoeTCₓ.coe.{max (succ (max u2 u1)) (succ u4), max (succ (max u2 u1)) (succ u4)} (AlgHom.{u3, max u2 u1, u4} S (MvPolynomial.{u2, u1} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u4} A _inst_4) (MvPolynomial.algebra.{u3, u1, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) (RingHom.{max u2 u1, u4} (MvPolynomial.{u2, u1} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u4} A (CommSemiring.toSemiring.{u4} A _inst_4))) (RingHom.hasCoeT.{max (max u2 u1) u4, max u2 u1, u4} (AlgHom.{u3, max u2 u1, u4} S (MvPolynomial.{u2, u1} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u4} A _inst_4) (MvPolynomial.algebra.{u3, u1, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) (MvPolynomial.{u2, u1} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u4} A (CommSemiring.toSemiring.{u4} A _inst_4)) (AlgHomClass.toRingHomClass.{max (max u2 u1) u4, u3, max u2 u1, u4} (AlgHom.{u3, max u2 u1, u4} S (MvPolynomial.{u2, u1} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u4} A _inst_4) (MvPolynomial.algebra.{u3, u1, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) S (MvPolynomial.{u2, u1} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u4} A _inst_4) (MvPolynomial.algebra.{u3, u1, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7 (AlgHom.algHomClass.{u3, max u2 u1, u4} S (MvPolynomial.{u2, u1} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u4} A _inst_4) (MvPolynomial.algebra.{u3, u1, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7))))) (MvPolynomial.aevalTower.{u1, u2, u3, u4} R σ _inst_1 S A _inst_3 _inst_4 _inst_6 _inst_7 g y)) (MvPolynomial.C.{u1, u2} R σ _inst_1)) ((fun (a : Sort.{max (succ u1) (succ u4)}) (b : Sort.{max (succ u1) (succ u4)}) [self : HasLiftT.{max (succ u1) (succ u4), max (succ u1) (succ u4)} a b] => self.0) (AlgHom.{u3, u1, u4} S R A _inst_3 (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u4} A _inst_4) _inst_6 _inst_7) (RingHom.{u1, u4} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u4} A (CommSemiring.toSemiring.{u4} A _inst_4))) (HasLiftT.mk.{max (succ u1) (succ u4), max (succ u1) (succ u4)} (AlgHom.{u3, u1, u4} S R A _inst_3 (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u4} A _inst_4) _inst_6 _inst_7) (RingHom.{u1, u4} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u4} A (CommSemiring.toSemiring.{u4} A _inst_4))) (CoeTCₓ.coe.{max (succ u1) (succ u4), max (succ u1) (succ u4)} (AlgHom.{u3, u1, u4} S R A _inst_3 (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u4} A _inst_4) _inst_6 _inst_7) (RingHom.{u1, u4} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u4} A (CommSemiring.toSemiring.{u4} A _inst_4))) (RingHom.hasCoeT.{max u1 u4, u1, u4} (AlgHom.{u3, u1, u4} S R A _inst_3 (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u4} A _inst_4) _inst_6 _inst_7) R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u4} A (CommSemiring.toSemiring.{u4} A _inst_4)) (AlgHomClass.toRingHomClass.{max u1 u4, u3, u1, u4} (AlgHom.{u3, u1, u4} S R A _inst_3 (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u4} A _inst_4) _inst_6 _inst_7) S R A _inst_3 (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u4} A _inst_4) _inst_6 _inst_7 (AlgHom.algHomClass.{u3, u1, u4} S R A _inst_3 (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u4} A _inst_4) _inst_6 _inst_7))))) g)
-but is expected to have type
-  forall {R : Type.{u4}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u4} R] {S : Type.{u1}} {A : Type.{u3}} [_inst_3 : CommSemiring.{u1} S] [_inst_4 : CommSemiring.{u3} A] [_inst_6 : Algebra.{u1, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1)] [_inst_7 : Algebra.{u1, u3} S A _inst_3 (CommSemiring.toSemiring.{u3} A _inst_4)] (g : AlgHom.{u1, u4, u3} S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7) (y : σ -> A), Eq.{max (succ u4) (succ u3)} (RingHom.{u4, u3} R A (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4))) (RingHom.comp.{u4, max u4 u2, u3} R (MvPolynomial.{u2, u4} σ R _inst_1) A (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)) (RingHomClass.toRingHom.{max (max u4 u2) u3, max u4 u2, u3} (AlgHom.{u1, max u4 u2, u3} S (MvPolynomial.{u2, u4} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u3} A _inst_4) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) (MvPolynomial.{u2, u4} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)) (AlgHomClass.toRingHomClass.{max (max u4 u2) u3, u1, max u4 u2, u3} (AlgHom.{u1, max u4 u2, u3} S (MvPolynomial.{u2, u4} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u3} A _inst_4) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) S (MvPolynomial.{u2, u4} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u3} A _inst_4) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7 (AlgHom.algHomClass.{u1, max u4 u2, u3} S (MvPolynomial.{u2, u4} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u3} A _inst_4) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7)) (MvPolynomial.aevalTower.{u4, u2, u1, u3} R σ _inst_1 S A _inst_3 _inst_4 _inst_6 _inst_7 g y)) (MvPolynomial.C.{u4, u2} R σ _inst_1)) (RingHomClass.toRingHom.{max u4 u3, u4, u3} (AlgHom.{u1, u4, u3} S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7) R A (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)) (AlgHomClass.toRingHomClass.{max u4 u3, u1, u4, u3} (AlgHom.{u1, u4, u3} S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7) S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7 (AlgHom.algHomClass.{u1, u4, u3} S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7)) g)
+<too large>
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.aeval_tower_comp_C MvPolynomial.aevalTower_comp_Cₓ'. -/
 @[simp]
 theorem aevalTower_comp_C : (aevalTower g y : MvPolynomial σ R →+* A).comp C = g :=
@@ -2870,10 +2597,7 @@ theorem aevalTower_comp_C : (aevalTower g y : MvPolynomial σ R →+* A).comp C
 #align mv_polynomial.aeval_tower_comp_C MvPolynomial.aevalTower_comp_C
 
 /- warning: mv_polynomial.aeval_tower_algebra_map -> MvPolynomial.aevalTower_algebraMap is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {S : Type.{u3}} {A : Type.{u4}} [_inst_3 : CommSemiring.{u3} S] [_inst_4 : CommSemiring.{u4} A] [_inst_6 : Algebra.{u3, u1} S R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_1)] [_inst_7 : Algebra.{u3, u4} S A _inst_3 (CommSemiring.toSemiring.{u4} A _inst_4)] (g : AlgHom.{u3, u1, u4} S R A _inst_3 (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u4} A _inst_4) _inst_6 _inst_7) (y : σ -> A) (x : R), Eq.{succ u4} A (coeFn.{max (succ (max u2 u1)) (succ u4), max (succ (max u2 u1)) (succ u4)} (AlgHom.{u3, max u2 u1, u4} S (MvPolynomial.{u2, u1} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u4} A _inst_4) (MvPolynomial.algebra.{u3, u1, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) (fun (_x : AlgHom.{u3, max u2 u1, u4} S (MvPolynomial.{u2, u1} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u4} A _inst_4) (MvPolynomial.algebra.{u3, u1, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) => (MvPolynomial.{u2, u1} σ R _inst_1) -> A) ([anonymous].{u3, max u2 u1, u4} S (MvPolynomial.{u2, u1} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u4} A _inst_4) (MvPolynomial.algebra.{u3, u1, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) (MvPolynomial.aevalTower.{u1, u2, u3, u4} R σ _inst_1 S A _inst_3 _inst_4 _inst_6 _inst_7 g y) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (fun (_x : RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (algebraMap.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1))) x)) (coeFn.{max (succ u1) (succ u4), max (succ u1) (succ u4)} (AlgHom.{u3, u1, u4} S R A _inst_3 (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u4} A _inst_4) _inst_6 _inst_7) (fun (_x : AlgHom.{u3, u1, u4} S R A _inst_3 (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u4} A _inst_4) _inst_6 _inst_7) => R -> A) ([anonymous].{u3, u1, u4} S R A _inst_3 (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u4} A _inst_4) _inst_6 _inst_7) g x)
-but is expected to have type
-  forall {R : Type.{u4}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u4} R] {S : Type.{u1}} {A : Type.{u3}} [_inst_3 : CommSemiring.{u1} S] [_inst_4 : CommSemiring.{u3} A] [_inst_6 : Algebra.{u1, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1)] [_inst_7 : Algebra.{u1, u3} S A _inst_3 (CommSemiring.toSemiring.{u3} A _inst_4)] (g : AlgHom.{u1, u4, u3} S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7) (y : σ -> A) (x : R), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : MvPolynomial.{u2, u4} σ R _inst_1) => A) (FunLike.coe.{max (succ u4) (succ u2), succ u4, max (succ u4) (succ u2)} (RingHom.{u4, max u4 u2} R (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))) R (fun (a : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u2, u4} σ R _inst_1) a) (MulHomClass.toFunLike.{max u4 u2, u4, max u4 u2} (RingHom.{u4, max u4 u2} R (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))) R (MvPolynomial.{u2, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u4 u2, u4, max u4 u2} (RingHom.{u4, max u4 u2} R (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))) R (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u4 u2, u4, max u4 u2} (RingHom.{u4, max u4 u2} R (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))) R (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u4, max u4 u2} R (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))))) (algebraMap.{u4, max u4 u2} R (MvPolynomial.{u2, u4} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (MvPolynomial.algebra.{u4, u4, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u4} R _inst_1))) x)) (FunLike.coe.{max (max (succ u4) (succ u2)) (succ u3), max (succ u4) (succ u2), succ u3} (AlgHom.{u1, max u4 u2, u3} S (MvPolynomial.{u2, u4} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u3} A _inst_4) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) (MvPolynomial.{u2, u4} σ R _inst_1) (fun (_x : MvPolynomial.{u2, u4} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : MvPolynomial.{u2, u4} σ R _inst_1) => A) _x) (SMulHomClass.toFunLike.{max (max u4 u2) u3, u1, max u4 u2, u3} (AlgHom.{u1, max u4 u2, u3} S (MvPolynomial.{u2, u4} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u3} A _inst_4) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) S (MvPolynomial.{u2, u4} σ R _inst_1) A (SMulZeroClass.toSMul.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (AddMonoid.toZero.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))))) (DistribSMul.toSMulZeroClass.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))))) (DistribMulAction.toDistribSMul.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (AddCommMonoid.toAddMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))))) (Module.toDistribMulAction.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))) (Algebra.toModule.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6)))))) (SMulZeroClass.toSMul.{u1, u3} S A (AddMonoid.toZero.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))))) (DistribSMul.toSMulZeroClass.{u1, u3} S A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))))) (DistribMulAction.toDistribSMul.{u1, u3} S A (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4))))) (Module.toDistribMulAction.{u1, u3} S A (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))) (Algebra.toModule.{u1, u3} S A _inst_3 (CommSemiring.toSemiring.{u3} A _inst_4) _inst_7))))) (DistribMulActionHomClass.toSMulHomClass.{max (max u4 u2) u3, u1, max u4 u2, u3} (AlgHom.{u1, max u4 u2, u3} S (MvPolynomial.{u2, u4} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u3} A _inst_4) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) S (MvPolynomial.{u2, u4} σ R _inst_1) A (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (AddCommMonoid.toAddMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))))) (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4))))) (Module.toDistribMulAction.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))) (Algebra.toModule.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6))) (Module.toDistribMulAction.{u1, u3} S A (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))) (Algebra.toModule.{u1, u3} S A _inst_3 (CommSemiring.toSemiring.{u3} A _inst_4) _inst_7)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max (max u4 u2) u3, u1, max u4 u2, u3} (AlgHom.{u1, max u4 u2, u3} S (MvPolynomial.{u2, u4} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u3} A _inst_4) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) S (MvPolynomial.{u2, u4} σ R _inst_1) A (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4))) (Module.toDistribMulAction.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))) (Algebra.toModule.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6))) (Module.toDistribMulAction.{u1, u3} S A (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))) (Algebra.toModule.{u1, u3} S A _inst_3 (CommSemiring.toSemiring.{u3} A _inst_4) _inst_7)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u1, max u4 u2, u3, max (max u4 u2) u3} S (MvPolynomial.{u2, u4} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u3} A _inst_4) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7 (AlgHom.{u1, max u4 u2, u3} S (MvPolynomial.{u2, u4} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u3} A _inst_4) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) (AlgHom.algHomClass.{u1, max u4 u2, u3} S (MvPolynomial.{u2, u4} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u3} A _inst_4) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7))))) (MvPolynomial.aevalTower.{u4, u2, u1, u3} R σ _inst_1 S A _inst_3 _inst_4 _inst_6 _inst_7 g y) (FunLike.coe.{max (succ u4) (succ u2), succ u4, max (succ u4) (succ u2)} (RingHom.{u4, max u4 u2} R (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u2, u4} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u4 u2, u4, max u4 u2} (RingHom.{u4, max u4 u2} R (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))) R (MvPolynomial.{u2, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u4 u2, u4, max u4 u2} (RingHom.{u4, max u4 u2} R (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))) R (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u4 u2, u4, max u4 u2} (RingHom.{u4, max u4 u2} R (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))) R (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u4, max u4 u2} R (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))))) (algebraMap.{u4, max u4 u2} R (MvPolynomial.{u2, u4} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (MvPolynomial.algebra.{u4, u4, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u4} R _inst_1))) x)) (FunLike.coe.{max (succ u4) (succ u3), succ u4, succ u3} (AlgHom.{u1, u4, u3} S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : R) => A) _x) (SMulHomClass.toFunLike.{max u4 u3, u1, u4, u3} (AlgHom.{u1, u4, u3} S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7) S R A (SMulZeroClass.toSMul.{u1, u4} S R (AddMonoid.toZero.{u4} R (AddCommMonoid.toAddMonoid.{u4} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))))) (DistribSMul.toSMulZeroClass.{u1, u4} S R (AddMonoid.toAddZeroClass.{u4} R (AddCommMonoid.toAddMonoid.{u4} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))))) (DistribMulAction.toDistribSMul.{u1, u4} S R (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (AddCommMonoid.toAddMonoid.{u4} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))))) (Module.toDistribMulAction.{u1, u4} S R (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (Algebra.toModule.{u1, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) _inst_6))))) (SMulZeroClass.toSMul.{u1, u3} S A (AddMonoid.toZero.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))))) (DistribSMul.toSMulZeroClass.{u1, u3} S A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))))) (DistribMulAction.toDistribSMul.{u1, u3} S A (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4))))) (Module.toDistribMulAction.{u1, u3} S A (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))) (Algebra.toModule.{u1, u3} S A _inst_3 (CommSemiring.toSemiring.{u3} A _inst_4) _inst_7))))) (DistribMulActionHomClass.toSMulHomClass.{max u4 u3, u1, u4, u3} (AlgHom.{u1, u4, u3} S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7) S R A (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (AddCommMonoid.toAddMonoid.{u4} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))))) (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4))))) (Module.toDistribMulAction.{u1, u4} S R (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (Algebra.toModule.{u1, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) _inst_6)) (Module.toDistribMulAction.{u1, u3} S A (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))) (Algebra.toModule.{u1, u3} S A _inst_3 (CommSemiring.toSemiring.{u3} A _inst_4) _inst_7)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max u4 u3, u1, u4, u3} (AlgHom.{u1, u4, u3} S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7) S R A (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4))) (Module.toDistribMulAction.{u1, u4} S R (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (Algebra.toModule.{u1, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) _inst_6)) (Module.toDistribMulAction.{u1, u3} S A (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))) (Algebra.toModule.{u1, u3} S A _inst_3 (CommSemiring.toSemiring.{u3} A _inst_4) _inst_7)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u1, u4, u3, max u4 u3} S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7 (AlgHom.{u1, u4, u3} S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7) (AlgHom.algHomClass.{u1, u4, u3} S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7))))) g x)
+<too large>
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.aeval_tower_algebra_map MvPolynomial.aevalTower_algebraMapₓ'. -/
 @[simp]
 theorem aevalTower_algebraMap (x : R) : aevalTower g y (algebraMap R (MvPolynomial σ R) x) = g x :=
@@ -2881,10 +2605,7 @@ theorem aevalTower_algebraMap (x : R) : aevalTower g y (algebraMap R (MvPolynomi
 #align mv_polynomial.aeval_tower_algebra_map MvPolynomial.aevalTower_algebraMap
 
 /- warning: mv_polynomial.aeval_tower_comp_algebra_map -> MvPolynomial.aevalTower_comp_algebraMap is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {S : Type.{u3}} {A : Type.{u4}} [_inst_3 : CommSemiring.{u3} S] [_inst_4 : CommSemiring.{u4} A] [_inst_6 : Algebra.{u3, u1} S R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_1)] [_inst_7 : Algebra.{u3, u4} S A _inst_3 (CommSemiring.toSemiring.{u4} A _inst_4)] (g : AlgHom.{u3, u1, u4} S R A _inst_3 (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u4} A _inst_4) _inst_6 _inst_7) (y : σ -> A), Eq.{max (succ u1) (succ u4)} (RingHom.{u1, u4} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u4} A (CommSemiring.toSemiring.{u4} A _inst_4))) (RingHom.comp.{u1, max u2 u1, u4} R (MvPolynomial.{u2, u1} σ R _inst_1) A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u4} A (CommSemiring.toSemiring.{u4} A _inst_4)) ((fun (a : Sort.{max (succ (max u2 u1)) (succ u4)}) (b : Sort.{max (succ (max u2 u1)) (succ u4)}) [self : HasLiftT.{max (succ (max u2 u1)) (succ u4), max (succ (max u2 u1)) (succ u4)} a b] => self.0) (AlgHom.{u3, max u2 u1, u4} S (MvPolynomial.{u2, u1} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u4} A _inst_4) (MvPolynomial.algebra.{u3, u1, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) (RingHom.{max u2 u1, u4} (MvPolynomial.{u2, u1} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u4} A (CommSemiring.toSemiring.{u4} A _inst_4))) (HasLiftT.mk.{max (succ (max u2 u1)) (succ u4), max (succ (max u2 u1)) (succ u4)} (AlgHom.{u3, max u2 u1, u4} S (MvPolynomial.{u2, u1} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u4} A _inst_4) (MvPolynomial.algebra.{u3, u1, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) (RingHom.{max u2 u1, u4} (MvPolynomial.{u2, u1} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u4} A (CommSemiring.toSemiring.{u4} A _inst_4))) (CoeTCₓ.coe.{max (succ (max u2 u1)) (succ u4), max (succ (max u2 u1)) (succ u4)} (AlgHom.{u3, max u2 u1, u4} S (MvPolynomial.{u2, u1} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u4} A _inst_4) (MvPolynomial.algebra.{u3, u1, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) (RingHom.{max u2 u1, u4} (MvPolynomial.{u2, u1} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u4} A (CommSemiring.toSemiring.{u4} A _inst_4))) (RingHom.hasCoeT.{max (max u2 u1) u4, max u2 u1, u4} (AlgHom.{u3, max u2 u1, u4} S (MvPolynomial.{u2, u1} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u4} A _inst_4) (MvPolynomial.algebra.{u3, u1, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) (MvPolynomial.{u2, u1} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u4} A (CommSemiring.toSemiring.{u4} A _inst_4)) (AlgHomClass.toRingHomClass.{max (max u2 u1) u4, u3, max u2 u1, u4} (AlgHom.{u3, max u2 u1, u4} S (MvPolynomial.{u2, u1} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u4} A _inst_4) (MvPolynomial.algebra.{u3, u1, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) S (MvPolynomial.{u2, u1} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u4} A _inst_4) (MvPolynomial.algebra.{u3, u1, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7 (AlgHom.algHomClass.{u3, max u2 u1, u4} S (MvPolynomial.{u2, u1} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u4} A _inst_4) (MvPolynomial.algebra.{u3, u1, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7))))) (MvPolynomial.aevalTower.{u1, u2, u3, u4} R σ _inst_1 S A _inst_3 _inst_4 _inst_6 _inst_7 g y)) (algebraMap.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)))) ((fun (a : Sort.{max (succ u1) (succ u4)}) (b : Sort.{max (succ u1) (succ u4)}) [self : HasLiftT.{max (succ u1) (succ u4), max (succ u1) (succ u4)} a b] => self.0) (AlgHom.{u3, u1, u4} S R A _inst_3 (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u4} A _inst_4) _inst_6 _inst_7) (RingHom.{u1, u4} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u4} A (CommSemiring.toSemiring.{u4} A _inst_4))) (HasLiftT.mk.{max (succ u1) (succ u4), max (succ u1) (succ u4)} (AlgHom.{u3, u1, u4} S R A _inst_3 (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u4} A _inst_4) _inst_6 _inst_7) (RingHom.{u1, u4} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u4} A (CommSemiring.toSemiring.{u4} A _inst_4))) (CoeTCₓ.coe.{max (succ u1) (succ u4), max (succ u1) (succ u4)} (AlgHom.{u3, u1, u4} S R A _inst_3 (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u4} A _inst_4) _inst_6 _inst_7) (RingHom.{u1, u4} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u4} A (CommSemiring.toSemiring.{u4} A _inst_4))) (RingHom.hasCoeT.{max u1 u4, u1, u4} (AlgHom.{u3, u1, u4} S R A _inst_3 (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u4} A _inst_4) _inst_6 _inst_7) R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u4} A (CommSemiring.toSemiring.{u4} A _inst_4)) (AlgHomClass.toRingHomClass.{max u1 u4, u3, u1, u4} (AlgHom.{u3, u1, u4} S R A _inst_3 (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u4} A _inst_4) _inst_6 _inst_7) S R A _inst_3 (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u4} A _inst_4) _inst_6 _inst_7 (AlgHom.algHomClass.{u3, u1, u4} S R A _inst_3 (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u4} A _inst_4) _inst_6 _inst_7))))) g)
-but is expected to have type
-  forall {R : Type.{u4}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u4} R] {S : Type.{u1}} {A : Type.{u3}} [_inst_3 : CommSemiring.{u1} S] [_inst_4 : CommSemiring.{u3} A] [_inst_6 : Algebra.{u1, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1)] [_inst_7 : Algebra.{u1, u3} S A _inst_3 (CommSemiring.toSemiring.{u3} A _inst_4)] (g : AlgHom.{u1, u4, u3} S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7) (y : σ -> A), Eq.{max (succ u4) (succ u3)} (RingHom.{u4, u3} R A (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4))) (RingHom.comp.{u4, max u4 u2, u3} R (MvPolynomial.{u2, u4} σ R _inst_1) A (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)) (RingHomClass.toRingHom.{max (max u4 u2) u3, max u4 u2, u3} (AlgHom.{u1, max u4 u2, u3} S (MvPolynomial.{u2, u4} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u3} A _inst_4) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) (MvPolynomial.{u2, u4} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)) (AlgHomClass.toRingHomClass.{max (max u4 u2) u3, u1, max u4 u2, u3} (AlgHom.{u1, max u4 u2, u3} S (MvPolynomial.{u2, u4} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u3} A _inst_4) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) S (MvPolynomial.{u2, u4} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u3} A _inst_4) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7 (AlgHom.algHomClass.{u1, max u4 u2, u3} S (MvPolynomial.{u2, u4} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u3} A _inst_4) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7)) (MvPolynomial.aevalTower.{u4, u2, u1, u3} R σ _inst_1 S A _inst_3 _inst_4 _inst_6 _inst_7 g y)) (algebraMap.{u4, max u4 u2} R (MvPolynomial.{u2, u4} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (MvPolynomial.algebra.{u4, u4, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u4} R _inst_1)))) (RingHomClass.toRingHom.{max u4 u3, u4, u3} (AlgHom.{u1, u4, u3} S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7) R A (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)) (AlgHomClass.toRingHomClass.{max u4 u3, u1, u4, u3} (AlgHom.{u1, u4, u3} S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7) S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7 (AlgHom.algHomClass.{u1, u4, u3} S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7)) g)
+<too large>
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.aeval_tower_comp_algebra_map MvPolynomial.aevalTower_comp_algebraMapₓ'. -/
 @[simp]
 theorem aevalTower_comp_algebraMap :
@@ -2893,10 +2614,7 @@ theorem aevalTower_comp_algebraMap :
 #align mv_polynomial.aeval_tower_comp_algebra_map MvPolynomial.aevalTower_comp_algebraMap
 
 /- warning: mv_polynomial.aeval_tower_to_alg_hom -> MvPolynomial.aevalTower_toAlgHom is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {S : Type.{u3}} {A : Type.{u4}} [_inst_3 : CommSemiring.{u3} S] [_inst_4 : CommSemiring.{u4} A] [_inst_6 : Algebra.{u3, u1} S R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_1)] [_inst_7 : Algebra.{u3, u4} S A _inst_3 (CommSemiring.toSemiring.{u4} A _inst_4)] (g : AlgHom.{u3, u1, u4} S R A _inst_3 (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u4} A _inst_4) _inst_6 _inst_7) (y : σ -> A) (x : R), Eq.{succ u4} A (coeFn.{max (succ (max u2 u1)) (succ u4), max (succ (max u2 u1)) (succ u4)} (AlgHom.{u3, max u2 u1, u4} S (MvPolynomial.{u2, u1} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u4} A _inst_4) (MvPolynomial.algebra.{u3, u1, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) (fun (_x : AlgHom.{u3, max u2 u1, u4} S (MvPolynomial.{u2, u1} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u4} A _inst_4) (MvPolynomial.algebra.{u3, u1, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) => (MvPolynomial.{u2, u1} σ R _inst_1) -> A) ([anonymous].{u3, max u2 u1, u4} S (MvPolynomial.{u2, u1} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u4} A _inst_4) (MvPolynomial.algebra.{u3, u1, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) (MvPolynomial.aevalTower.{u1, u2, u3, u4} R σ _inst_1 S A _inst_3 _inst_4 _inst_6 _inst_7 g y) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (AlgHom.{u3, u1, max u2 u1} S R (MvPolynomial.{u2, u1} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) _inst_6 (MvPolynomial.algebra.{u3, u1, u2} S R σ _inst_3 _inst_1 _inst_6)) (fun (_x : AlgHom.{u3, u1, max u2 u1} S R (MvPolynomial.{u2, u1} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) _inst_6 (MvPolynomial.algebra.{u3, u1, u2} S R σ _inst_3 _inst_1 _inst_6)) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) ([anonymous].{u3, u1, max u2 u1} S R (MvPolynomial.{u2, u1} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) _inst_6 (MvPolynomial.algebra.{u3, u1, u2} S R σ _inst_3 _inst_1 _inst_6)) (IsScalarTower.toAlgHom.{u3, u1, max u2 u1} S R (MvPolynomial.{u2, u1} σ R _inst_1) _inst_3 _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) _inst_6 (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) (MvPolynomial.algebra.{u3, u1, u2} S R σ _inst_3 _inst_1 _inst_6) (MvPolynomial.isScalarTower.{u3, u1, u1, u2} S R R σ _inst_1 (SMulZeroClass.toHasSmul.{u3, u1} S R (AddZeroClass.toHasZero.{u1} R (AddMonoid.toAddZeroClass.{u1} R (AddCommMonoid.toAddMonoid.{u1} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))))) (SMulWithZero.toSmulZeroClass.{u3, u1} S R (MulZeroClass.toHasZero.{u3} S (MulZeroOneClass.toMulZeroClass.{u3} S (MonoidWithZero.toMulZeroOneClass.{u3} S (Semiring.toMonoidWithZero.{u3} S (CommSemiring.toSemiring.{u3} S _inst_3))))) (AddZeroClass.toHasZero.{u1} R (AddMonoid.toAddZeroClass.{u1} R (AddCommMonoid.toAddMonoid.{u1} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))))) (MulActionWithZero.toSMulWithZero.{u3, u1} S R (Semiring.toMonoidWithZero.{u3} S (CommSemiring.toSemiring.{u3} S _inst_3)) (AddZeroClass.toHasZero.{u1} R (AddMonoid.toAddZeroClass.{u1} R (AddCommMonoid.toAddMonoid.{u1} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))))) (Module.toMulActionWithZero.{u3, u1} S R (CommSemiring.toSemiring.{u3} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (Algebra.toModule.{u3, u1} S R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_1) _inst_6))))) (SMulWithZero.toSmulZeroClass.{u3, u1} S R (MulZeroClass.toHasZero.{u3} S (MulZeroOneClass.toMulZeroClass.{u3} S (MonoidWithZero.toMulZeroOneClass.{u3} S (Semiring.toMonoidWithZero.{u3} S (CommSemiring.toSemiring.{u3} S _inst_3))))) (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (MulActionWithZero.toSMulWithZero.{u3, u1} S R (Semiring.toMonoidWithZero.{u3} S (CommSemiring.toSemiring.{u3} S _inst_3)) (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (Module.toMulActionWithZero.{u3, u1} S R (CommSemiring.toSemiring.{u3} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (Algebra.toModule.{u3, u1} S R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_1) _inst_6)))) (SMulWithZero.toSmulZeroClass.{u1, u1} R R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (MulZeroClass.toSMulWithZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))) (IsScalarTower.right.{u3, u1} S R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_1) _inst_6))) x)) (coeFn.{max (succ u1) (succ u4), max (succ u1) (succ u4)} (AlgHom.{u3, u1, u4} S R A _inst_3 (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u4} A _inst_4) _inst_6 _inst_7) (fun (_x : AlgHom.{u3, u1, u4} S R A _inst_3 (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u4} A _inst_4) _inst_6 _inst_7) => R -> A) ([anonymous].{u3, u1, u4} S R A _inst_3 (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u4} A _inst_4) _inst_6 _inst_7) g x)
-but is expected to have type
-  forall {R : Type.{u4}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u4} R] {S : Type.{u1}} {A : Type.{u3}} [_inst_3 : CommSemiring.{u1} S] [_inst_4 : CommSemiring.{u3} A] [_inst_6 : Algebra.{u1, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1)] [_inst_7 : Algebra.{u1, u3} S A _inst_3 (CommSemiring.toSemiring.{u3} A _inst_4)] (g : AlgHom.{u1, u4, u3} S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7) (y : σ -> A) (x : R), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : MvPolynomial.{u2, u4} σ R _inst_1) => A) (FunLike.coe.{max (succ u4) (succ u2), succ u4, max (succ u4) (succ u2)} (AlgHom.{u1, u4, max u4 u2} S R (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) _inst_6 (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6)) R (fun (a : R) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : R) => MvPolynomial.{u2, u4} σ R _inst_1) a) (SMulHomClass.toFunLike.{max u4 u2, u1, u4, max u4 u2} (AlgHom.{u1, u4, max u4 u2} S R (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) _inst_6 (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6)) S R (MvPolynomial.{u2, u4} σ R _inst_1) (SMulZeroClass.toSMul.{u1, u4} S R (AddMonoid.toZero.{u4} R (AddCommMonoid.toAddMonoid.{u4} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))))) (DistribSMul.toSMulZeroClass.{u1, u4} S R (AddMonoid.toAddZeroClass.{u4} R (AddCommMonoid.toAddMonoid.{u4} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))))) (DistribMulAction.toDistribSMul.{u1, u4} S R (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (AddCommMonoid.toAddMonoid.{u4} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))))) (Module.toDistribMulAction.{u1, u4} S R (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (Algebra.toModule.{u1, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) _inst_6))))) (SMulZeroClass.toSMul.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (AddMonoid.toZero.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))))) (DistribSMul.toSMulZeroClass.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))))) (DistribMulAction.toDistribSMul.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (AddCommMonoid.toAddMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))))) (Module.toDistribMulAction.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))) (Algebra.toModule.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6)))))) (DistribMulActionHomClass.toSMulHomClass.{max u4 u2, u1, u4, max u4 u2} (AlgHom.{u1, u4, max u4 u2} S R (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) _inst_6 (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6)) S R (MvPolynomial.{u2, u4} σ R _inst_1) (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (AddCommMonoid.toAddMonoid.{u4} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))))) (AddCommMonoid.toAddMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))))) (Module.toDistribMulAction.{u1, u4} S R (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (Algebra.toModule.{u1, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) _inst_6)) (Module.toDistribMulAction.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))) (Algebra.toModule.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6))) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max u4 u2, u1, u4, max u4 u2} (AlgHom.{u1, u4, max u4 u2} S R (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) _inst_6 (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6)) S R (MvPolynomial.{u2, u4} σ R _inst_1) (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))) (Module.toDistribMulAction.{u1, u4} S R (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (Algebra.toModule.{u1, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) _inst_6)) (Module.toDistribMulAction.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))) (Algebra.toModule.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6))) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u1, u4, max u4 u2, max u4 u2} S R (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) _inst_6 (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) (AlgHom.{u1, u4, max u4 u2} S R (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) _inst_6 (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6)) (AlgHom.algHomClass.{u1, u4, max u4 u2} S R (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) _inst_6 (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6)))))) (IsScalarTower.toAlgHom.{u1, u4, max u4 u2} S R (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 _inst_1 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) _inst_6 (MvPolynomial.algebra.{u4, u4, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u4} R _inst_1)) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) (MvPolynomial.isScalarTower.{u1, u4, u4, u2} S R R σ _inst_1 (Algebra.toSMul.{u1, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) _inst_6) (SMulWithZero.toSMulZeroClass.{u1, u4} S R (CommMonoidWithZero.toZero.{u1} S (CommSemiring.toCommMonoidWithZero.{u1} S _inst_3)) (MonoidWithZero.toZero.{u4} R (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (MulActionWithZero.toSMulWithZero.{u1, u4} S R (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3)) (MonoidWithZero.toZero.{u4} R (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (Module.toMulActionWithZero.{u1, u4} S R (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (Algebra.toModule.{u1, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) _inst_6)))) (SMulWithZero.toSMulZeroClass.{u4, u4} R R (CommMonoidWithZero.toZero.{u4} R (CommSemiring.toCommMonoidWithZero.{u4} R _inst_1)) (MonoidWithZero.toZero.{u4} R (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (MulActionWithZero.toSMulWithZero.{u4, u4} R R (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (MonoidWithZero.toZero.{u4} R (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (Module.toMulActionWithZero.{u4, u4} R R (CommSemiring.toSemiring.{u4} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (Algebra.toModule.{u4, u4} R R _inst_1 (CommSemiring.toSemiring.{u4} R _inst_1) (Algebra.id.{u4} R _inst_1))))) (IsScalarTower.right.{u1, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) _inst_6))) x)) (FunLike.coe.{max (max (succ u4) (succ u2)) (succ u3), max (succ u4) (succ u2), succ u3} (AlgHom.{u1, max u4 u2, u3} S (MvPolynomial.{u2, u4} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u3} A _inst_4) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) (MvPolynomial.{u2, u4} σ R _inst_1) (fun (_x : MvPolynomial.{u2, u4} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : MvPolynomial.{u2, u4} σ R _inst_1) => A) _x) (SMulHomClass.toFunLike.{max (max u4 u2) u3, u1, max u4 u2, u3} (AlgHom.{u1, max u4 u2, u3} S (MvPolynomial.{u2, u4} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u3} A _inst_4) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) S (MvPolynomial.{u2, u4} σ R _inst_1) A (SMulZeroClass.toSMul.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (AddMonoid.toZero.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))))) (DistribSMul.toSMulZeroClass.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))))) (DistribMulAction.toDistribSMul.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (AddCommMonoid.toAddMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))))) (Module.toDistribMulAction.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))) (Algebra.toModule.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6)))))) (SMulZeroClass.toSMul.{u1, u3} S A (AddMonoid.toZero.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))))) (DistribSMul.toSMulZeroClass.{u1, u3} S A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))))) (DistribMulAction.toDistribSMul.{u1, u3} S A (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4))))) (Module.toDistribMulAction.{u1, u3} S A (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))) (Algebra.toModule.{u1, u3} S A _inst_3 (CommSemiring.toSemiring.{u3} A _inst_4) _inst_7))))) (DistribMulActionHomClass.toSMulHomClass.{max (max u4 u2) u3, u1, max u4 u2, u3} (AlgHom.{u1, max u4 u2, u3} S (MvPolynomial.{u2, u4} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u3} A _inst_4) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) S (MvPolynomial.{u2, u4} σ R _inst_1) A (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (AddCommMonoid.toAddMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))))) (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4))))) (Module.toDistribMulAction.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))) (Algebra.toModule.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6))) (Module.toDistribMulAction.{u1, u3} S A (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))) (Algebra.toModule.{u1, u3} S A _inst_3 (CommSemiring.toSemiring.{u3} A _inst_4) _inst_7)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max (max u4 u2) u3, u1, max u4 u2, u3} (AlgHom.{u1, max u4 u2, u3} S (MvPolynomial.{u2, u4} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u3} A _inst_4) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) S (MvPolynomial.{u2, u4} σ R _inst_1) A (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4))) (Module.toDistribMulAction.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))) (Algebra.toModule.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6))) (Module.toDistribMulAction.{u1, u3} S A (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))) (Algebra.toModule.{u1, u3} S A _inst_3 (CommSemiring.toSemiring.{u3} A _inst_4) _inst_7)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u1, max u4 u2, u3, max (max u4 u2) u3} S (MvPolynomial.{u2, u4} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u3} A _inst_4) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7 (AlgHom.{u1, max u4 u2, u3} S (MvPolynomial.{u2, u4} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u3} A _inst_4) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) (AlgHom.algHomClass.{u1, max u4 u2, u3} S (MvPolynomial.{u2, u4} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u3} A _inst_4) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7))))) (MvPolynomial.aevalTower.{u4, u2, u1, u3} R σ _inst_1 S A _inst_3 _inst_4 _inst_6 _inst_7 g y) (FunLike.coe.{max (succ u4) (succ u2), succ u4, max (succ u4) (succ u2)} (AlgHom.{u1, u4, max u4 u2} S R (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) _inst_6 (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : R) => MvPolynomial.{u2, u4} σ R _inst_1) _x) (SMulHomClass.toFunLike.{max u4 u2, u1, u4, max u4 u2} (AlgHom.{u1, u4, max u4 u2} S R (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) _inst_6 (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6)) S R (MvPolynomial.{u2, u4} σ R _inst_1) (SMulZeroClass.toSMul.{u1, u4} S R (AddMonoid.toZero.{u4} R (AddCommMonoid.toAddMonoid.{u4} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))))) (DistribSMul.toSMulZeroClass.{u1, u4} S R (AddMonoid.toAddZeroClass.{u4} R (AddCommMonoid.toAddMonoid.{u4} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))))) (DistribMulAction.toDistribSMul.{u1, u4} S R (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (AddCommMonoid.toAddMonoid.{u4} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))))) (Module.toDistribMulAction.{u1, u4} S R (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (Algebra.toModule.{u1, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) _inst_6))))) (SMulZeroClass.toSMul.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (AddMonoid.toZero.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))))) (DistribSMul.toSMulZeroClass.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))))) (DistribMulAction.toDistribSMul.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (AddCommMonoid.toAddMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))))) (Module.toDistribMulAction.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))) (Algebra.toModule.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6)))))) (DistribMulActionHomClass.toSMulHomClass.{max u4 u2, u1, u4, max u4 u2} (AlgHom.{u1, u4, max u4 u2} S R (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) _inst_6 (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6)) S R (MvPolynomial.{u2, u4} σ R _inst_1) (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (AddCommMonoid.toAddMonoid.{u4} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))))) (AddCommMonoid.toAddMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))))) (Module.toDistribMulAction.{u1, u4} S R (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (Algebra.toModule.{u1, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) _inst_6)) (Module.toDistribMulAction.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))) (Algebra.toModule.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6))) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max u4 u2, u1, u4, max u4 u2} (AlgHom.{u1, u4, max u4 u2} S R (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) _inst_6 (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6)) S R (MvPolynomial.{u2, u4} σ R _inst_1) (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))) (Module.toDistribMulAction.{u1, u4} S R (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (Algebra.toModule.{u1, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) _inst_6)) (Module.toDistribMulAction.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))) (Algebra.toModule.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6))) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u1, u4, max u4 u2, max u4 u2} S R (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) _inst_6 (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) (AlgHom.{u1, u4, max u4 u2} S R (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) _inst_6 (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6)) (AlgHom.algHomClass.{u1, u4, max u4 u2} S R (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) _inst_6 (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6)))))) (IsScalarTower.toAlgHom.{u1, u4, max u4 u2} S R (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 _inst_1 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) _inst_6 (MvPolynomial.algebra.{u4, u4, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u4} R _inst_1)) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) (MvPolynomial.isScalarTower.{u1, u4, u4, u2} S R R σ _inst_1 (Algebra.toSMul.{u1, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) _inst_6) (SMulWithZero.toSMulZeroClass.{u1, u4} S R (CommMonoidWithZero.toZero.{u1} S (CommSemiring.toCommMonoidWithZero.{u1} S _inst_3)) (MonoidWithZero.toZero.{u4} R (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (MulActionWithZero.toSMulWithZero.{u1, u4} S R (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3)) (MonoidWithZero.toZero.{u4} R (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (Module.toMulActionWithZero.{u1, u4} S R (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (Algebra.toModule.{u1, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) _inst_6)))) (SMulWithZero.toSMulZeroClass.{u4, u4} R R (CommMonoidWithZero.toZero.{u4} R (CommSemiring.toCommMonoidWithZero.{u4} R _inst_1)) (MonoidWithZero.toZero.{u4} R (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (MulActionWithZero.toSMulWithZero.{u4, u4} R R (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (MonoidWithZero.toZero.{u4} R (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (Module.toMulActionWithZero.{u4, u4} R R (CommSemiring.toSemiring.{u4} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (Algebra.toModule.{u4, u4} R R _inst_1 (CommSemiring.toSemiring.{u4} R _inst_1) (Algebra.id.{u4} R _inst_1))))) (IsScalarTower.right.{u1, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) _inst_6))) x)) (FunLike.coe.{max (succ u4) (succ u3), succ u4, succ u3} (AlgHom.{u1, u4, u3} S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : R) => A) _x) (SMulHomClass.toFunLike.{max u4 u3, u1, u4, u3} (AlgHom.{u1, u4, u3} S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7) S R A (SMulZeroClass.toSMul.{u1, u4} S R (AddMonoid.toZero.{u4} R (AddCommMonoid.toAddMonoid.{u4} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))))) (DistribSMul.toSMulZeroClass.{u1, u4} S R (AddMonoid.toAddZeroClass.{u4} R (AddCommMonoid.toAddMonoid.{u4} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))))) (DistribMulAction.toDistribSMul.{u1, u4} S R (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (AddCommMonoid.toAddMonoid.{u4} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))))) (Module.toDistribMulAction.{u1, u4} S R (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (Algebra.toModule.{u1, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) _inst_6))))) (SMulZeroClass.toSMul.{u1, u3} S A (AddMonoid.toZero.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))))) (DistribSMul.toSMulZeroClass.{u1, u3} S A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))))) (DistribMulAction.toDistribSMul.{u1, u3} S A (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4))))) (Module.toDistribMulAction.{u1, u3} S A (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))) (Algebra.toModule.{u1, u3} S A _inst_3 (CommSemiring.toSemiring.{u3} A _inst_4) _inst_7))))) (DistribMulActionHomClass.toSMulHomClass.{max u4 u3, u1, u4, u3} (AlgHom.{u1, u4, u3} S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7) S R A (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (AddCommMonoid.toAddMonoid.{u4} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))))) (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4))))) (Module.toDistribMulAction.{u1, u4} S R (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (Algebra.toModule.{u1, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) _inst_6)) (Module.toDistribMulAction.{u1, u3} S A (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))) (Algebra.toModule.{u1, u3} S A _inst_3 (CommSemiring.toSemiring.{u3} A _inst_4) _inst_7)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max u4 u3, u1, u4, u3} (AlgHom.{u1, u4, u3} S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7) S R A (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4))) (Module.toDistribMulAction.{u1, u4} S R (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (Algebra.toModule.{u1, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) _inst_6)) (Module.toDistribMulAction.{u1, u3} S A (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))) (Algebra.toModule.{u1, u3} S A _inst_3 (CommSemiring.toSemiring.{u3} A _inst_4) _inst_7)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u1, u4, u3, max u4 u3} S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7 (AlgHom.{u1, u4, u3} S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7) (AlgHom.algHomClass.{u1, u4, u3} S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7))))) g x)
+<too large>
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.aeval_tower_to_alg_hom MvPolynomial.aevalTower_toAlgHomₓ'. -/
 theorem aevalTower_toAlgHom (x : R) :
     aevalTower g y (IsScalarTower.toAlgHom S R (MvPolynomial σ R) x) = g x :=
@@ -2904,10 +2622,7 @@ theorem aevalTower_toAlgHom (x : R) :
 #align mv_polynomial.aeval_tower_to_alg_hom MvPolynomial.aevalTower_toAlgHom
 
 /- warning: mv_polynomial.aeval_tower_comp_to_alg_hom -> MvPolynomial.aevalTower_comp_toAlgHom is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {S : Type.{u3}} {A : Type.{u4}} [_inst_3 : CommSemiring.{u3} S] [_inst_4 : CommSemiring.{u4} A] [_inst_6 : Algebra.{u3, u1} S R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_1)] [_inst_7 : Algebra.{u3, u4} S A _inst_3 (CommSemiring.toSemiring.{u4} A _inst_4)] (g : AlgHom.{u3, u1, u4} S R A _inst_3 (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u4} A _inst_4) _inst_6 _inst_7) (y : σ -> A), Eq.{max (succ u1) (succ u4)} (AlgHom.{u3, u1, u4} S R A _inst_3 (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u4} A _inst_4) _inst_6 _inst_7) (AlgHom.comp.{u3, u1, max u2 u1, u4} S R (MvPolynomial.{u2, u1} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u4} A _inst_4) _inst_6 (MvPolynomial.algebra.{u3, u1, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7 (MvPolynomial.aevalTower.{u1, u2, u3, u4} R σ _inst_1 S A _inst_3 _inst_4 _inst_6 _inst_7 g y) (IsScalarTower.toAlgHom.{u3, u1, max u2 u1} S R (MvPolynomial.{u2, u1} σ R _inst_1) _inst_3 _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) _inst_6 (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) (MvPolynomial.algebra.{u3, u1, u2} S R σ _inst_3 _inst_1 _inst_6) (MvPolynomial.isScalarTower.{u3, u1, u1, u2} S R R σ _inst_1 (SMulZeroClass.toHasSmul.{u3, u1} S R (AddZeroClass.toHasZero.{u1} R (AddMonoid.toAddZeroClass.{u1} R (AddCommMonoid.toAddMonoid.{u1} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))))) (SMulWithZero.toSmulZeroClass.{u3, u1} S R (MulZeroClass.toHasZero.{u3} S (MulZeroOneClass.toMulZeroClass.{u3} S (MonoidWithZero.toMulZeroOneClass.{u3} S (Semiring.toMonoidWithZero.{u3} S (CommSemiring.toSemiring.{u3} S _inst_3))))) (AddZeroClass.toHasZero.{u1} R (AddMonoid.toAddZeroClass.{u1} R (AddCommMonoid.toAddMonoid.{u1} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))))) (MulActionWithZero.toSMulWithZero.{u3, u1} S R (Semiring.toMonoidWithZero.{u3} S (CommSemiring.toSemiring.{u3} S _inst_3)) (AddZeroClass.toHasZero.{u1} R (AddMonoid.toAddZeroClass.{u1} R (AddCommMonoid.toAddMonoid.{u1} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))))) (Module.toMulActionWithZero.{u3, u1} S R (CommSemiring.toSemiring.{u3} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (Algebra.toModule.{u3, u1} S R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_1) _inst_6))))) (SMulWithZero.toSmulZeroClass.{u3, u1} S R (MulZeroClass.toHasZero.{u3} S (MulZeroOneClass.toMulZeroClass.{u3} S (MonoidWithZero.toMulZeroOneClass.{u3} S (Semiring.toMonoidWithZero.{u3} S (CommSemiring.toSemiring.{u3} S _inst_3))))) (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (MulActionWithZero.toSMulWithZero.{u3, u1} S R (Semiring.toMonoidWithZero.{u3} S (CommSemiring.toSemiring.{u3} S _inst_3)) (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (Module.toMulActionWithZero.{u3, u1} S R (CommSemiring.toSemiring.{u3} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (Algebra.toModule.{u3, u1} S R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_1) _inst_6)))) (SMulWithZero.toSmulZeroClass.{u1, u1} R R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (MulZeroClass.toSMulWithZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))) (IsScalarTower.right.{u3, u1} S R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_1) _inst_6)))) g
-but is expected to have type
-  forall {R : Type.{u4}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u4} R] {S : Type.{u2}} {A : Type.{u3}} [_inst_3 : CommSemiring.{u2} S] [_inst_4 : CommSemiring.{u3} A] [_inst_6 : Algebra.{u2, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1)] [_inst_7 : Algebra.{u2, u3} S A _inst_3 (CommSemiring.toSemiring.{u3} A _inst_4)] (g : AlgHom.{u2, u4, u3} S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7) (y : σ -> A), Eq.{max (succ u4) (succ u3)} (AlgHom.{u2, u4, u3} S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7) (AlgHom.comp.{u2, u4, max u4 u1, u3} S R (MvPolynomial.{u1, u4} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 (MvPolynomial.algebra.{u2, u4, u1} S R σ _inst_3 _inst_1 _inst_6) _inst_7 (MvPolynomial.aevalTower.{u4, u1, u2, u3} R σ _inst_1 S A _inst_3 _inst_4 _inst_6 _inst_7 g y) (IsScalarTower.toAlgHom.{u2, u4, max u4 u1} S R (MvPolynomial.{u1, u4} σ R _inst_1) _inst_3 _inst_1 (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u1} R σ _inst_1)) _inst_6 (MvPolynomial.algebra.{u4, u4, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u4} R _inst_1)) (MvPolynomial.algebra.{u2, u4, u1} S R σ _inst_3 _inst_1 _inst_6) (MvPolynomial.isScalarTower.{u2, u4, u4, u1} S R R σ _inst_1 (Algebra.toSMul.{u2, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) _inst_6) (SMulWithZero.toSMulZeroClass.{u2, u4} S R (CommMonoidWithZero.toZero.{u2} S (CommSemiring.toCommMonoidWithZero.{u2} S _inst_3)) (MonoidWithZero.toZero.{u4} R (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (MulActionWithZero.toSMulWithZero.{u2, u4} S R (Semiring.toMonoidWithZero.{u2} S (CommSemiring.toSemiring.{u2} S _inst_3)) (MonoidWithZero.toZero.{u4} R (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (Module.toMulActionWithZero.{u2, u4} S R (CommSemiring.toSemiring.{u2} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (Algebra.toModule.{u2, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) _inst_6)))) (SMulWithZero.toSMulZeroClass.{u4, u4} R R (CommMonoidWithZero.toZero.{u4} R (CommSemiring.toCommMonoidWithZero.{u4} R _inst_1)) (MonoidWithZero.toZero.{u4} R (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (MulActionWithZero.toSMulWithZero.{u4, u4} R R (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (MonoidWithZero.toZero.{u4} R (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (Module.toMulActionWithZero.{u4, u4} R R (CommSemiring.toSemiring.{u4} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (Algebra.toModule.{u4, u4} R R _inst_1 (CommSemiring.toSemiring.{u4} R _inst_1) (Algebra.id.{u4} R _inst_1))))) (IsScalarTower.right.{u2, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) _inst_6)))) g
+<too large>
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.aeval_tower_comp_to_alg_hom MvPolynomial.aevalTower_comp_toAlgHomₓ'. -/
 @[simp]
 theorem aevalTower_comp_toAlgHom :
@@ -2949,10 +2664,7 @@ section EvalMem
 variable {S subS : Type _} [CommSemiring S] [SetLike subS S] [SubsemiringClass subS S]
 
 /- warning: mv_polynomial.eval₂_mem -> MvPolynomial.eval₂_mem is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {S : Type.{u3}} {subS : Type.{u4}} [_inst_3 : CommSemiring.{u3} S] [_inst_4 : SetLike.{u4, u3} subS S] [_inst_5 : SubsemiringClass.{u3, u4} subS S (Semiring.toNonAssocSemiring.{u3} S (CommSemiring.toSemiring.{u3} S _inst_3)) _inst_4] {f : RingHom.{u1, u3} R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S (CommSemiring.toSemiring.{u3} S _inst_3))} {p : MvPolynomial.{u2, u1} σ R _inst_1} {s : subS}, (forall (i : Finsupp.{u2, 0} σ Nat Nat.hasZero), (Membership.Mem.{u2, u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finset.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (Finset.hasMem.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) i (MvPolynomial.support.{u1, u2} R σ _inst_1 p)) -> (Membership.Mem.{u3, u4} S subS (SetLike.hasMem.{u4, u3} subS S _inst_4) (coeFn.{max (succ u1) (succ u3), max (succ u1) (succ u3)} (RingHom.{u1, u3} R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S (CommSemiring.toSemiring.{u3} S _inst_3))) (fun (_x : RingHom.{u1, u3} R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S (CommSemiring.toSemiring.{u3} S _inst_3))) => R -> S) (RingHom.hasCoeToFun.{u1, u3} R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S (CommSemiring.toSemiring.{u3} S _inst_3))) f (MvPolynomial.coeff.{u1, u2} R σ _inst_1 i p)) s)) -> (forall {v : σ -> S}, (forall (i : σ), Membership.Mem.{u3, u4} S subS (SetLike.hasMem.{u4, u3} subS S _inst_4) (v i) s) -> (Membership.Mem.{u3, u4} S subS (SetLike.hasMem.{u4, u3} subS S _inst_4) (MvPolynomial.eval₂.{u1, u3, u2} R S σ _inst_1 _inst_3 f v p) s))
-but is expected to have type
-  forall {R : Type.{u4}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u4} R] {S : Type.{u3}} {subS : Type.{u1}} [_inst_3 : CommSemiring.{u3} S] [_inst_4 : SetLike.{u1, u3} subS S] [_inst_5 : SubsemiringClass.{u3, u1} subS S (Semiring.toNonAssocSemiring.{u3} S (CommSemiring.toSemiring.{u3} S _inst_3)) _inst_4] {f : RingHom.{u4, u3} R S (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S (CommSemiring.toSemiring.{u3} S _inst_3))} {p : MvPolynomial.{u2, u4} σ R _inst_1} {s : subS}, (forall (i : Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)), (Membership.mem.{u2, u2} (Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finset.{u2} (Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (Finset.instMembershipFinset.{u2} (Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) i (MvPolynomial.support.{u4, u2} R σ _inst_1 p)) -> (Membership.mem.{u3, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S) (MvPolynomial.coeff.{u4, u2} R σ _inst_1 i p)) subS (SetLike.instMembership.{u1, u3} subS S _inst_4) (FunLike.coe.{max (succ u4) (succ u3), succ u4, succ u3} (RingHom.{u4, u3} R S (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S (CommSemiring.toSemiring.{u3} S _inst_3))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S) _x) (MulHomClass.toFunLike.{max u4 u3, u4, u3} (RingHom.{u4, u3} R S (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S (CommSemiring.toSemiring.{u3} S _inst_3))) R S (NonUnitalNonAssocSemiring.toMul.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S (Semiring.toNonAssocSemiring.{u3} S (CommSemiring.toSemiring.{u3} S _inst_3)))) (NonUnitalRingHomClass.toMulHomClass.{max u4 u3, u4, u3} (RingHom.{u4, u3} R S (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S (CommSemiring.toSemiring.{u3} S _inst_3))) R S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S (Semiring.toNonAssocSemiring.{u3} S (CommSemiring.toSemiring.{u3} S _inst_3))) (RingHomClass.toNonUnitalRingHomClass.{max u4 u3, u4, u3} (RingHom.{u4, u3} R S (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S (CommSemiring.toSemiring.{u3} S _inst_3))) R S (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S (CommSemiring.toSemiring.{u3} S _inst_3)) (RingHom.instRingHomClassRingHom.{u4, u3} R S (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S (CommSemiring.toSemiring.{u3} S _inst_3)))))) f (MvPolynomial.coeff.{u4, u2} R σ _inst_1 i p)) s)) -> (forall {v : σ -> S}, (forall (i : σ), Membership.mem.{u3, u1} S subS (SetLike.instMembership.{u1, u3} subS S _inst_4) (v i) s) -> (Membership.mem.{u3, u1} S subS (SetLike.instMembership.{u1, u3} subS S _inst_4) (MvPolynomial.eval₂.{u4, u3, u2} R S σ _inst_1 _inst_3 f v p) s))
+<too large>
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval₂_mem MvPolynomial.eval₂_memₓ'. -/
 theorem eval₂_mem {f : R →+* S} {p : MvPolynomial σ R} {s : subS}
     (hs : ∀ i ∈ p.support, f (p.coeff i) ∈ s) {v : σ → S} (hv : ∀ i, v i ∈ s) :
@@ -2981,10 +2693,7 @@ theorem eval₂_mem {f : R →+* S} {p : MvPolynomial σ R} {s : subS}
 #align mv_polynomial.eval₂_mem MvPolynomial.eval₂_mem
 
 /- warning: mv_polynomial.eval_mem -> MvPolynomial.eval_mem is a dubious translation:
-lean 3 declaration is
-  forall {σ : Type.{u1}} {S : Type.{u2}} {subS : Type.{u3}} [_inst_3 : CommSemiring.{u2} S] [_inst_4 : SetLike.{u3, u2} subS S] [_inst_5 : SubsemiringClass.{u2, u3} subS S (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_3)) _inst_4] {p : MvPolynomial.{u1, u2} σ S _inst_3} {s : subS}, (forall (i : Finsupp.{u1, 0} σ Nat Nat.hasZero), (Membership.Mem.{u1, u1} (Finsupp.{u1, 0} σ Nat Nat.hasZero) (Finset.{u1} (Finsupp.{u1, 0} σ Nat Nat.hasZero)) (Finset.hasMem.{u1} (Finsupp.{u1, 0} σ Nat Nat.hasZero)) i (MvPolynomial.support.{u2, u1} S σ _inst_3 p)) -> (Membership.Mem.{u2, u3} S subS (SetLike.hasMem.{u3, u2} subS S _inst_4) (MvPolynomial.coeff.{u2, u1} S σ _inst_3 i p) s)) -> (forall {v : σ -> S}, (forall (i : σ), Membership.Mem.{u2, u3} S subS (SetLike.hasMem.{u3, u2} subS S _inst_4) (v i) s) -> (Membership.Mem.{u2, u3} S subS (SetLike.hasMem.{u3, u2} subS S _inst_4) (coeFn.{max (succ (max u1 u2)) (succ u2), max (succ (max u1 u2)) (succ u2)} (RingHom.{max u1 u2, u2} (MvPolynomial.{u1, u2} σ S _inst_3) S (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ S _inst_3) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ S _inst_3) (MvPolynomial.commSemiring.{u2, u1} S σ _inst_3))) (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_3))) (fun (_x : RingHom.{max u1 u2, u2} (MvPolynomial.{u1, u2} σ S _inst_3) S (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ S _inst_3) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ S _inst_3) (MvPolynomial.commSemiring.{u2, u1} S σ _inst_3))) (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_3))) => (MvPolynomial.{u1, u2} σ S _inst_3) -> S) (RingHom.hasCoeToFun.{max u1 u2, u2} (MvPolynomial.{u1, u2} σ S _inst_3) S (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ S _inst_3) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ S _inst_3) (MvPolynomial.commSemiring.{u2, u1} S σ _inst_3))) (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_3))) (MvPolynomial.eval.{u2, u1} S σ _inst_3 v) p) s))
-but is expected to have type
-  forall {σ : Type.{u3}} {S : Type.{u2}} {subS : Type.{u1}} [_inst_3 : CommSemiring.{u2} S] [_inst_4 : SetLike.{u1, u2} subS S] [_inst_5 : SubsemiringClass.{u2, u1} subS S (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_3)) _inst_4] {p : MvPolynomial.{u3, u2} σ S _inst_3} {s : subS}, (forall (i : Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)), (Membership.mem.{u3, u3} (Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finset.{u3} (Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (Finset.instMembershipFinset.{u3} (Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) i (MvPolynomial.support.{u2, u3} S σ _inst_3 p)) -> (Membership.mem.{u2, u1} S subS (SetLike.instMembership.{u1, u2} subS S _inst_4) (MvPolynomial.coeff.{u2, u3} S σ _inst_3 i p) s)) -> (forall {v : σ -> S}, (forall (i : σ), Membership.mem.{u2, u1} S subS (SetLike.instMembership.{u1, u2} subS S _inst_4) (v i) s) -> (Membership.mem.{u2, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u3, u2} σ S _inst_3) => S) p) subS (SetLike.instMembership.{u1, u2} subS S _inst_4) (FunLike.coe.{max (succ u3) (succ u2), max (succ u3) (succ u2), succ u2} (RingHom.{max u2 u3, u2} (MvPolynomial.{u3, u2} σ S _inst_3) S (Semiring.toNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} σ S _inst_3) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u3, u2} σ S _inst_3) (MvPolynomial.commSemiring.{u2, u3} S σ _inst_3))) (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_3))) (MvPolynomial.{u3, u2} σ S _inst_3) (fun (_x : MvPolynomial.{u3, u2} σ S _inst_3) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u3, u2} σ S _inst_3) => S) _x) (MulHomClass.toFunLike.{max u3 u2, max u3 u2, u2} (RingHom.{max u2 u3, u2} (MvPolynomial.{u3, u2} σ S _inst_3) S (Semiring.toNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} σ S _inst_3) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u3, u2} σ S _inst_3) (MvPolynomial.commSemiring.{u2, u3} S σ _inst_3))) (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_3))) (MvPolynomial.{u3, u2} σ S _inst_3) S (NonUnitalNonAssocSemiring.toMul.{max u3 u2} (MvPolynomial.{u3, u2} σ S _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S _inst_3) (Semiring.toNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} σ S _inst_3) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u3, u2} σ S _inst_3) (MvPolynomial.commSemiring.{u2, u3} S σ _inst_3))))) (NonUnitalNonAssocSemiring.toMul.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_3)))) (NonUnitalRingHomClass.toMulHomClass.{max u3 u2, max u3 u2, u2} (RingHom.{max u2 u3, u2} (MvPolynomial.{u3, u2} σ S _inst_3) S (Semiring.toNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} σ S _inst_3) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u3, u2} σ S _inst_3) (MvPolynomial.commSemiring.{u2, u3} S σ _inst_3))) (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_3))) (MvPolynomial.{u3, u2} σ S _inst_3) S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S _inst_3) (Semiring.toNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} σ S _inst_3) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u3, u2} σ S _inst_3) (MvPolynomial.commSemiring.{u2, u3} S σ _inst_3)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_3))) (RingHomClass.toNonUnitalRingHomClass.{max u3 u2, max u3 u2, u2} (RingHom.{max u2 u3, u2} (MvPolynomial.{u3, u2} σ S _inst_3) S (Semiring.toNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} σ S _inst_3) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u3, u2} σ S _inst_3) (MvPolynomial.commSemiring.{u2, u3} S σ _inst_3))) (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_3))) (MvPolynomial.{u3, u2} σ S _inst_3) S (Semiring.toNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} σ S _inst_3) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u3, u2} σ S _inst_3) (MvPolynomial.commSemiring.{u2, u3} S σ _inst_3))) (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_3)) (RingHom.instRingHomClassRingHom.{max u3 u2, u2} (MvPolynomial.{u3, u2} σ S _inst_3) S (Semiring.toNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} σ S _inst_3) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u3, u2} σ S _inst_3) (MvPolynomial.commSemiring.{u2, u3} S σ _inst_3))) (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_3)))))) (MvPolynomial.eval.{u2, u3} S σ _inst_3 v) p) s))
+<too large>
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval_mem MvPolynomial.eval_memₓ'. -/
 theorem eval_mem {p : MvPolynomial σ S} {s : subS} (hs : ∀ i ∈ p.support, p.coeff i ∈ s) {v : σ → S}
     (hv : ∀ i, v i ∈ s) : MvPolynomial.eval v p ∈ s :=

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

@@ -179,7 +179,7 @@ def monomial (s : σ →₀ ℕ) : R →ₗ[R] MvPolynomial σ R :=
 lean 3 declaration is
   forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] (s : Finsupp.{u2, 0} σ Nat Nat.hasZero) (a : R), Eq.{max (succ u2) (succ u1)} (Finsupp.{u2, u1} (Finsupp.{u2, 0} σ Nat Nat.hasZero) R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))) (Finsupp.single.{u2, u1} (Finsupp.{u2, 0} σ Nat Nat.hasZero) R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) s a) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 s) a)
 but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] (s : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (a : R), Eq.{max (succ u2) (succ u1)} (Finsupp.{u1, u2} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))) (Finsupp.single.{u1, u2} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1)) s a) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s) a)
+  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] (s : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (a : R), Eq.{max (succ u2) (succ u1)} (Finsupp.{u1, u2} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))) (Finsupp.single.{u1, u2} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1)) s a) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s) a)
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.single_eq_monomial MvPolynomial.single_eq_monomialₓ'. -/
 theorem single_eq_monomial (s : σ →₀ ℕ) (a : R) : single s a = monomial s a :=
   rfl
@@ -189,7 +189,7 @@ theorem single_eq_monomial (s : σ →₀ ℕ) (a : R) : single s a = monomial s
 lean 3 declaration is
   forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {p : MvPolynomial.{u2, u1} σ R _inst_1} {q : MvPolynomial.{u2, u1} σ R _inst_1}, Eq.{succ (max u2 u1)} (MvPolynomial.{u2, u1} σ R _inst_1) (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Distrib.toHasMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))) p q) (Finsupp.sum.{u2, u1, max u2 u1} (Finsupp.{u2, 0} σ Nat Nat.hasZero) R (MvPolynomial.{u2, u1} σ R _inst_1) (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) p (fun (m : Finsupp.{u2, 0} σ Nat Nat.hasZero) (a : R) => Finsupp.sum.{u2, u1, max u2 u1} (Finsupp.{u2, 0} σ Nat Nat.hasZero) R (MvPolynomial.{u2, u1} σ R _inst_1) (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) q (fun (n : Finsupp.{u2, 0} σ Nat Nat.hasZero) (b : R) => coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 (HAdd.hAdd.{u2, u2, u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.{u2, 0} σ Nat Nat.hasZero) (instHAdd.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.add.{u2, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid))) m n)) (HMul.hMul.{u1, u1, u1} R R R (instHMul.{u1} R (Distrib.toHasMul.{u1} R (NonUnitalNonAssocSemiring.toDistrib.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))) a b))))
 but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] {p : MvPolynomial.{u1, u2} σ R _inst_1} {q : MvPolynomial.{u1, u2} σ R _inst_1}, Eq.{max (succ u2) (succ u1)} (MvPolynomial.{u1, u2} σ R _inst_1) (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) p q) (Finsupp.sum.{u1, u2, max u2 u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (MvPolynomial.{u1, u2} σ R _inst_1) (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) p (fun (m : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (a : R) => Finsupp.sum.{u1, u2, max u2 u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (MvPolynomial.{u1, u2} σ R _inst_1) (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) q (fun (n : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (b : R) => FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 (HAdd.hAdd.{u1, u1, u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (instHAdd.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.add.{u1, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid))) m n)) (HMul.hMul.{u2, u2, u2} R R R (instHMul.{u2} R (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) a b))))
+  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] {p : MvPolynomial.{u1, u2} σ R _inst_1} {q : MvPolynomial.{u1, u2} σ R _inst_1}, Eq.{max (succ u2) (succ u1)} (MvPolynomial.{u1, u2} σ R _inst_1) (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) p q) (Finsupp.sum.{u1, u2, max u2 u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (MvPolynomial.{u1, u2} σ R _inst_1) (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) p (fun (m : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (a : R) => Finsupp.sum.{u1, u2, max u2 u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (MvPolynomial.{u1, u2} σ R _inst_1) (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) q (fun (n : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (b : R) => FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 (HAdd.hAdd.{u1, u1, u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (instHAdd.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.add.{u1, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid))) m n)) (HMul.hMul.{u2, u2, u2} R R R (instHMul.{u2} R (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) a b))))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.mul_def MvPolynomial.mul_defₓ'. -/
 theorem mul_def : p * q = p.Sum fun m a => q.Sum fun n b => monomial (m + n) (a * b) :=
   rfl
@@ -227,7 +227,7 @@ def X (n : σ) : MvPolynomial σ R :=
 lean 3 declaration is
   forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {r : R}, (Ne.{succ u1} R r (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))))))) -> (Function.Injective.{succ u2, max (succ u2) (succ u1)} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (MvPolynomial.{u2, u1} σ R _inst_1) (fun (s : Finsupp.{u2, 0} σ Nat Nat.hasZero) => coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 s) r))
 but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] {r : R}, (Ne.{succ u2} R r (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))))) -> (Function.Injective.{succ u1, max (succ u2) (succ u1)} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) r) (fun (s : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s) r))
+  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] {r : R}, (Ne.{succ u2} R r (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))))) -> (Function.Injective.{succ u1, max (succ u2) (succ u1)} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) r) (fun (s : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s) r))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.monomial_left_injective MvPolynomial.monomial_left_injectiveₓ'. -/
 theorem monomial_left_injective {r : R} (hr : r ≠ 0) :
     Function.Injective fun s : σ →₀ ℕ => monomial s r :=
@@ -238,7 +238,7 @@ theorem monomial_left_injective {r : R} (hr : r ≠ 0) :
 lean 3 declaration is
   forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {s : Finsupp.{u2, 0} σ Nat Nat.hasZero} {t : Finsupp.{u2, 0} σ Nat Nat.hasZero} {r : R}, (Ne.{succ u1} R r (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))))))) -> (Iff (Eq.{max (succ u2) (succ u1)} (MvPolynomial.{u2, u1} σ R _inst_1) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 s) r) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 t) r)) (Eq.{succ u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) s t))
 but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] {s : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)} {t : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)} {r : R}, (Ne.{succ u2} R r (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))))) -> (Iff (Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) r) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s) r) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 t) r)) (Eq.{succ u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) s t))
+  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] {s : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)} {t : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)} {r : R}, (Ne.{succ u2} R r (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))))) -> (Iff (Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) r) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s) r) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 t) r)) (Eq.{succ u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) s t))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.monomial_left_inj MvPolynomial.monomial_left_injₓ'. -/
 @[simp]
 theorem monomial_left_inj {s t : σ →₀ ℕ} {r : R} (hr : r ≠ 0) :
@@ -250,7 +250,7 @@ theorem monomial_left_inj {s t : σ →₀ ℕ} {r : R} (hr : r ≠ 0) :
 lean 3 declaration is
   forall {R : Type.{u1}} {σ : Type.{u2}} {a : R} [_inst_1 : CommSemiring.{u1} R], Eq.{max (succ u2) (succ u1)} (MvPolynomial.{u2, u1} σ R _inst_1) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (fun (_x : RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (MvPolynomial.C.{u1, u2} R σ _inst_1) a) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 (OfNat.ofNat.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) 0 (OfNat.mk.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) 0 (Zero.zero.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.zero.{u2, 0} σ Nat Nat.hasZero))))) a)
 but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} {a : R} [_inst_1 : CommSemiring.{u2} R], Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) a) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 (OfNat.ofNat.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) 0 (Zero.toOfNat0.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.zero.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))))) a)
+  forall {R : Type.{u2}} {σ : Type.{u1}} {a : R} [_inst_1 : CommSemiring.{u2} R], Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) a) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 (OfNat.ofNat.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) 0 (Zero.toOfNat0.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.zero.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))))) a)
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.C_apply MvPolynomial.C_applyₓ'. -/
 theorem C_apply : (C a : MvPolynomial σ R) = monomial 0 a :=
   rfl
@@ -281,7 +281,7 @@ theorem C_1 : C 1 = (1 : MvPolynomial σ R) :=
 lean 3 declaration is
   forall {R : Type.{u1}} {σ : Type.{u2}} {a : R} {a' : R} {s : Finsupp.{u2, 0} σ Nat Nat.hasZero} [_inst_1 : CommSemiring.{u1} R], Eq.{succ (max u2 u1)} (MvPolynomial.{u2, u1} σ R _inst_1) (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Distrib.toHasMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (fun (_x : RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (MvPolynomial.C.{u1, u2} R σ _inst_1) a) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 s) a')) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 s) (HMul.hMul.{u1, u1, u1} R R R (instHMul.{u1} R (Distrib.toHasMul.{u1} R (NonUnitalNonAssocSemiring.toDistrib.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))) a a'))
 but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} {a : R} {a' : R} {s : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)} [_inst_1 : CommSemiring.{u2} R], Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) (HMul.hMul.{u2, u2, u2} R R R (instHMul.{u2} R (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) a a')) (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a') ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) (HMul.hMul.{u2, u2, u2} R R R (instHMul.{u2} R (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) a a')) (instHMul.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (Semiring.toNonAssocSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (CommSemiring.toSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) a) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s) a')) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s) (HMul.hMul.{u2, u2, u2} R R R (instHMul.{u2} R (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) a a'))
+  forall {R : Type.{u2}} {σ : Type.{u1}} {a : R} {a' : R} {s : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)} [_inst_1 : CommSemiring.{u2} R], Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) (HMul.hMul.{u2, u2, u2} R R R (instHMul.{u2} R (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) a a')) (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a') ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) (HMul.hMul.{u2, u2, u2} R R R (instHMul.{u2} R (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) a a')) (instHMul.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (Semiring.toNonAssocSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (CommSemiring.toSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) a) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s) a')) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s) (HMul.hMul.{u2, u2, u2} R R R (instHMul.{u2} R (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) a a'))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.C_mul_monomial MvPolynomial.C_mul_monomialₓ'. -/
 theorem C_mul_monomial : C a * monomial s a' = monomial s (a * a') := by
   simp [C_apply, monomial, single_mul_single]
@@ -414,7 +414,7 @@ theorem C_eq_smul_one : (C a : MvPolynomial σ R) = a • 1 := by rw [← C_mul'
 lean 3 declaration is
   forall {R : Type.{u1}} {σ : Type.{u2}} {a : R} {s : Finsupp.{u2, 0} σ Nat Nat.hasZero} [_inst_1 : CommSemiring.{u1} R] {S₁ : Type.{u3}} [_inst_3 : SMulZeroClass.{u3, u1} S₁ R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))] (r : S₁), Eq.{succ (max u2 u1)} (MvPolynomial.{u2, u1} σ R _inst_1) (SMul.smul.{u3, max u2 u1} S₁ (MvPolynomial.{u2, u1} σ R _inst_1) (SMulZeroClass.toHasSmul.{u3, max u2 u1} S₁ (MvPolynomial.{u2, u1} σ R _inst_1) (MulZeroClass.toHasZero.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toMulZeroClass.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))))) (MvPolynomial.smulZeroClass.{u3, u1, u2} S₁ R σ _inst_1 _inst_3)) r (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 s) a)) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 s) (SMul.smul.{u3, u1} S₁ R (SMulZeroClass.toHasSmul.{u3, u1} S₁ R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) _inst_3) r a))
 but is expected to have type
-  forall {R : Type.{u3}} {σ : Type.{u1}} {a : R} {s : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)} [_inst_1 : CommSemiring.{u3} R] {S₁ : Type.{u2}} [_inst_3 : SMulZeroClass.{u2, u3} S₁ R (CommMonoidWithZero.toZero.{u3} R (CommSemiring.toCommMonoidWithZero.{u3} R _inst_1))] (r : S₁), Eq.{max (succ u3) (succ u1)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u3} σ R _inst_1) a) (HSMul.hSMul.{u2, max u3 u1, max u3 u1} S₁ ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u3} σ R _inst_1) a) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u3} σ R _inst_1) a) (instHSMul.{u2, max u3 u1} S₁ ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u3} σ R _inst_1) a) (SMulZeroClass.toSMul.{u2, max u3 u1} S₁ ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u3} σ R _inst_1) a) (CommMonoidWithZero.toZero.{max u3 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u3} σ R _inst_1) a) (CommSemiring.toCommMonoidWithZero.{max u3 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u3} σ R _inst_1) a) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (MvPolynomial.smulZeroClass.{u2, u3, u1} S₁ R σ _inst_1 _inst_3))) r (FunLike.coe.{max (succ u1) (succ u3), succ u3, max (succ u1) (succ u3)} (LinearMap.{u3, u3, u3, max u3 u1} R R (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) R (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (MvPolynomial.module.{u3, u3, u1} R R σ (CommSemiring.toSemiring.{u3} R _inst_1) _inst_1 (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u3} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u3, u3, u3, max u1 u3} R R R (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (MvPolynomial.module.{u3, u3, u1} R R σ (CommSemiring.toSemiring.{u3} R _inst_1) _inst_1 (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (MvPolynomial.monomial.{u3, u1} R σ _inst_1 s) a)) (FunLike.coe.{max (succ u1) (succ u3), succ u3, max (succ u1) (succ u3)} (LinearMap.{u3, u3, u3, max u3 u1} R R (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) R (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (MvPolynomial.module.{u3, u3, u1} R R σ (CommSemiring.toSemiring.{u3} R _inst_1) _inst_1 (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u3} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u3, u3, u3, max u1 u3} R R R (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (MvPolynomial.module.{u3, u3, u1} R R σ (CommSemiring.toSemiring.{u3} R _inst_1) _inst_1 (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (MvPolynomial.monomial.{u3, u1} R σ _inst_1 s) (HSMul.hSMul.{u2, u3, u3} S₁ R R (instHSMul.{u2, u3} S₁ R (SMulZeroClass.toSMul.{u2, u3} S₁ R (CommMonoidWithZero.toZero.{u3} R (CommSemiring.toCommMonoidWithZero.{u3} R _inst_1)) _inst_3)) r a))
+  forall {R : Type.{u3}} {σ : Type.{u1}} {a : R} {s : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)} [_inst_1 : CommSemiring.{u3} R] {S₁ : Type.{u2}} [_inst_3 : SMulZeroClass.{u2, u3} S₁ R (CommMonoidWithZero.toZero.{u3} R (CommSemiring.toCommMonoidWithZero.{u3} R _inst_1))] (r : S₁), Eq.{max (succ u3) (succ u1)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u3} σ R _inst_1) a) (HSMul.hSMul.{u2, max u3 u1, max u3 u1} S₁ ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u3} σ R _inst_1) a) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u3} σ R _inst_1) a) (instHSMul.{u2, max u3 u1} S₁ ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u3} σ R _inst_1) a) (SMulZeroClass.toSMul.{u2, max u3 u1} S₁ ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u3} σ R _inst_1) a) (CommMonoidWithZero.toZero.{max u3 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u3} σ R _inst_1) a) (CommSemiring.toCommMonoidWithZero.{max u3 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u3} σ R _inst_1) a) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (MvPolynomial.smulZeroClass.{u2, u3, u1} S₁ R σ _inst_1 _inst_3))) r (FunLike.coe.{max (succ u1) (succ u3), succ u3, max (succ u1) (succ u3)} (LinearMap.{u3, u3, u3, max u3 u1} R R (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) R (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (MvPolynomial.module.{u3, u3, u1} R R σ (CommSemiring.toSemiring.{u3} R _inst_1) _inst_1 (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u3} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u3, u3, u3, max u1 u3} R R R (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (MvPolynomial.module.{u3, u3, u1} R R σ (CommSemiring.toSemiring.{u3} R _inst_1) _inst_1 (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (MvPolynomial.monomial.{u3, u1} R σ _inst_1 s) a)) (FunLike.coe.{max (succ u1) (succ u3), succ u3, max (succ u1) (succ u3)} (LinearMap.{u3, u3, u3, max u3 u1} R R (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) R (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (MvPolynomial.module.{u3, u3, u1} R R σ (CommSemiring.toSemiring.{u3} R _inst_1) _inst_1 (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u3} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u3, u3, u3, max u1 u3} R R R (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (MvPolynomial.module.{u3, u3, u1} R R σ (CommSemiring.toSemiring.{u3} R _inst_1) _inst_1 (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (MvPolynomial.monomial.{u3, u1} R σ _inst_1 s) (HSMul.hSMul.{u2, u3, u3} S₁ R R (instHSMul.{u2, u3} S₁ R (SMulZeroClass.toSMul.{u2, u3} S₁ R (CommMonoidWithZero.toZero.{u3} R (CommSemiring.toCommMonoidWithZero.{u3} R _inst_1)) _inst_3)) r a))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.smul_monomial MvPolynomial.smul_monomialₓ'. -/
 theorem smul_monomial {S₁ : Type _} [SMulZeroClass S₁ R] (r : S₁) :
     r • monomial s a = monomial s (r • a) :=
@@ -446,7 +446,7 @@ theorem X_inj [Nontrivial R] (m n : σ) : X m = (X n : MvPolynomial σ R) ↔ m
 lean 3 declaration is
   forall {R : Type.{u1}} {σ : Type.{u2}} {a : R} {e : Nat} {s : Finsupp.{u2, 0} σ Nat Nat.hasZero} [_inst_1 : CommSemiring.{u1} R], Eq.{succ (max u2 u1)} (MvPolynomial.{u2, u1} σ R _inst_1) (HPow.hPow.{max u2 u1, 0, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) Nat (MvPolynomial.{u2, u1} σ R _inst_1) (instHPow.{max u2 u1, 0} (MvPolynomial.{u2, u1} σ R _inst_1) Nat (Monoid.Pow.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MonoidWithZero.toMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toMonoidWithZero.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))))) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 s) a) e) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 (SMul.smul.{0, u2} Nat (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.hasNatScalar.{u2, 0} σ Nat Nat.addMonoid) e s)) (HPow.hPow.{u1, 0, u1} R Nat R (instHPow.{u1, 0} R Nat (Monoid.Pow.{u1} R (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) a e))
 but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} {a : R} {e : Nat} {s : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)} [_inst_1 : CommSemiring.{u2} R], Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (HPow.hPow.{max u2 u1, 0, max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) Nat ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (instHPow.{max u2 u1, 0} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) Nat (Monoid.Pow.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (MonoidWithZero.toMonoid.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (Semiring.toMonoidWithZero.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (CommSemiring.toSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s) a) e) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 (HSMul.hSMul.{0, u1, u1} Nat (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (instHSMul.{0, u1} Nat (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.hasNatScalar.{u1, 0} σ Nat Nat.addMonoid)) e s)) (HPow.hPow.{u2, 0, u2} R Nat R (instHPow.{u2, 0} R Nat (Monoid.Pow.{u2} R (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) a e))
+  forall {R : Type.{u2}} {σ : Type.{u1}} {a : R} {e : Nat} {s : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)} [_inst_1 : CommSemiring.{u2} R], Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (HPow.hPow.{max u2 u1, 0, max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) Nat ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (instHPow.{max u2 u1, 0} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) Nat (Monoid.Pow.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (MonoidWithZero.toMonoid.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (Semiring.toMonoidWithZero.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (CommSemiring.toSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s) a) e) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 (HSMul.hSMul.{0, u1, u1} Nat (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (instHSMul.{0, u1} Nat (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.hasNatScalar.{u1, 0} σ Nat Nat.addMonoid)) e s)) (HPow.hPow.{u2, 0, u2} R Nat R (instHPow.{u2, 0} R Nat (Monoid.Pow.{u2} R (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) a e))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.monomial_pow MvPolynomial.monomial_powₓ'. -/
 theorem monomial_pow : monomial s a ^ e = monomial (e • s) (a ^ e) :=
   AddMonoidAlgebra.single_pow e
@@ -456,7 +456,7 @@ theorem monomial_pow : monomial s a ^ e = monomial (e • s) (a ^ e) :=
 lean 3 declaration is
   forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {s : Finsupp.{u2, 0} σ Nat Nat.hasZero} {s' : Finsupp.{u2, 0} σ Nat Nat.hasZero} {a : R} {b : R}, Eq.{succ (max u2 u1)} (MvPolynomial.{u2, u1} σ R _inst_1) (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Distrib.toHasMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 s) a) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 s') b)) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 (HAdd.hAdd.{u2, u2, u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.{u2, 0} σ Nat Nat.hasZero) (instHAdd.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.add.{u2, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid))) s s')) (HMul.hMul.{u1, u1, u1} R R R (instHMul.{u1} R (Distrib.toHasMul.{u1} R (NonUnitalNonAssocSemiring.toDistrib.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))) a b))
 but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] {s : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)} {s' : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)} {a : R} {b : R}, Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) b) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (instHMul.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (Semiring.toNonAssocSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (CommSemiring.toSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s) a) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s') b)) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 (HAdd.hAdd.{u1, u1, u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (instHAdd.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.add.{u1, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid))) s s')) (HMul.hMul.{u2, u2, u2} R R R (instHMul.{u2} R (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) a b))
+  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] {s : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)} {s' : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)} {a : R} {b : R}, Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) b) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (instHMul.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (Semiring.toNonAssocSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (CommSemiring.toSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s) a) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s') b)) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 (HAdd.hAdd.{u1, u1, u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (instHAdd.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.add.{u1, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid))) s s')) (HMul.hMul.{u2, u2, u2} R R R (instHMul.{u2} R (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) a b))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.monomial_mul MvPolynomial.monomial_mulₓ'. -/
 @[simp]
 theorem monomial_mul {s s' : σ →₀ ℕ} {a b : R} :
@@ -479,7 +479,7 @@ variable {σ R}
 lean 3 declaration is
   forall {R : Type.{u1}} {σ : Type.{u2}} {s : Finsupp.{u2, 0} σ Nat Nat.hasZero} [_inst_1 : CommSemiring.{u1} R], Eq.{max (succ u2) (succ u1)} (MvPolynomial.{u2, u1} σ R _inst_1) (coeFn.{max (succ (max u2 u1)) (succ u2), max (succ u2) (succ (max u2 u1))} (MonoidHom.{u2, max u2 u1} (Multiplicative.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (MvPolynomial.{u2, u1} σ R _inst_1) (Multiplicative.mulOneClass.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.addZeroClass.{u2, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid))) (MulZeroOneClass.toMulOneClass.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toMulZeroOneClass.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))))) (fun (_x : MonoidHom.{u2, max u2 u1} (Multiplicative.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (MvPolynomial.{u2, u1} σ R _inst_1) (Multiplicative.mulOneClass.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.addZeroClass.{u2, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid))) (MulZeroOneClass.toMulOneClass.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toMulZeroOneClass.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))))) => (Multiplicative.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) -> (MvPolynomial.{u2, u1} σ R _inst_1)) (MonoidHom.hasCoeToFun.{u2, max u2 u1} (Multiplicative.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (MvPolynomial.{u2, u1} σ R _inst_1) (Multiplicative.mulOneClass.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.addZeroClass.{u2, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid))) (MulZeroOneClass.toMulOneClass.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toMulZeroOneClass.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))))) (MvPolynomial.monomialOneHom.{u1, u2} R σ _inst_1) s) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 s) (OfNat.ofNat.{u1} R 1 (OfNat.mk.{u1} R 1 (One.one.{u1} R (AddMonoidWithOne.toOne.{u1} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} R (NonAssocSemiring.toAddCommMonoidWithOne.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))))))
 but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} {s : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)} [_inst_1 : CommSemiring.{u2} R], Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : Multiplicative.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) => MvPolynomial.{u1, u2} σ R _inst_1) s) (FunLike.coe.{max (succ u2) (succ u1), succ u1, max (succ u2) (succ u1)} (MonoidHom.{u1, max u2 u1} (Multiplicative.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (MvPolynomial.{u1, u2} σ R _inst_1) (Multiplicative.mulOneClass.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.addZeroClass.{u1, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid))) (MulZeroOneClass.toMulOneClass.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toMulZeroOneClass.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (Multiplicative.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (fun (_x : Multiplicative.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : Multiplicative.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u2 u1, u1, max u2 u1} (MonoidHom.{u1, max u2 u1} (Multiplicative.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (MvPolynomial.{u1, u2} σ R _inst_1) (Multiplicative.mulOneClass.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.addZeroClass.{u1, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid))) (MulZeroOneClass.toMulOneClass.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toMulZeroOneClass.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (Multiplicative.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (MvPolynomial.{u1, u2} σ R _inst_1) (MulOneClass.toMul.{u1} (Multiplicative.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (Multiplicative.mulOneClass.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.addZeroClass.{u1, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)))) (MulOneClass.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MulZeroOneClass.toMulOneClass.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toMulZeroOneClass.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (MonoidHomClass.toMulHomClass.{max u2 u1, u1, max u2 u1} (MonoidHom.{u1, max u2 u1} (Multiplicative.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (MvPolynomial.{u1, u2} σ R _inst_1) (Multiplicative.mulOneClass.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.addZeroClass.{u1, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid))) (MulZeroOneClass.toMulOneClass.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toMulZeroOneClass.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (Multiplicative.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (MvPolynomial.{u1, u2} σ R _inst_1) (Multiplicative.mulOneClass.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.addZeroClass.{u1, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid))) (MulZeroOneClass.toMulOneClass.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toMulZeroOneClass.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (MonoidHom.monoidHomClass.{u1, max u2 u1} (Multiplicative.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (MvPolynomial.{u1, u2} σ R _inst_1) (Multiplicative.mulOneClass.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.addZeroClass.{u1, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid))) (MulZeroOneClass.toMulOneClass.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toMulZeroOneClass.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))))) (MvPolynomial.monomialOneHom.{u2, u1} R σ _inst_1) s) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s) (OfNat.ofNat.{u2} R 1 (One.toOfNat1.{u2} R (Semiring.toOne.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))))
+  forall {R : Type.{u2}} {σ : Type.{u1}} {s : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)} [_inst_1 : CommSemiring.{u2} R], Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : Multiplicative.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) => MvPolynomial.{u1, u2} σ R _inst_1) s) (FunLike.coe.{max (succ u2) (succ u1), succ u1, max (succ u2) (succ u1)} (MonoidHom.{u1, max u2 u1} (Multiplicative.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (MvPolynomial.{u1, u2} σ R _inst_1) (Multiplicative.mulOneClass.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.addZeroClass.{u1, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid))) (MulZeroOneClass.toMulOneClass.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toMulZeroOneClass.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (Multiplicative.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (fun (_x : Multiplicative.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : Multiplicative.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u2 u1, u1, max u2 u1} (MonoidHom.{u1, max u2 u1} (Multiplicative.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (MvPolynomial.{u1, u2} σ R _inst_1) (Multiplicative.mulOneClass.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.addZeroClass.{u1, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid))) (MulZeroOneClass.toMulOneClass.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toMulZeroOneClass.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (Multiplicative.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (MvPolynomial.{u1, u2} σ R _inst_1) (MulOneClass.toMul.{u1} (Multiplicative.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (Multiplicative.mulOneClass.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.addZeroClass.{u1, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)))) (MulOneClass.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MulZeroOneClass.toMulOneClass.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toMulZeroOneClass.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (MonoidHomClass.toMulHomClass.{max u2 u1, u1, max u2 u1} (MonoidHom.{u1, max u2 u1} (Multiplicative.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (MvPolynomial.{u1, u2} σ R _inst_1) (Multiplicative.mulOneClass.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.addZeroClass.{u1, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid))) (MulZeroOneClass.toMulOneClass.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toMulZeroOneClass.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (Multiplicative.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (MvPolynomial.{u1, u2} σ R _inst_1) (Multiplicative.mulOneClass.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.addZeroClass.{u1, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid))) (MulZeroOneClass.toMulOneClass.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toMulZeroOneClass.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (MonoidHom.monoidHomClass.{u1, max u2 u1} (Multiplicative.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (MvPolynomial.{u1, u2} σ R _inst_1) (Multiplicative.mulOneClass.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.addZeroClass.{u1, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid))) (MulZeroOneClass.toMulOneClass.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toMulZeroOneClass.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))))) (MvPolynomial.monomialOneHom.{u2, u1} R σ _inst_1) s) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s) (OfNat.ofNat.{u2} R 1 (One.toOfNat1.{u2} R (Semiring.toOne.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.monomial_one_hom_apply MvPolynomial.monomialOneHom_applyₓ'. -/
 @[simp]
 theorem monomialOneHom_apply : monomialOneHom R σ s = (monomial s 1 : MvPolynomial σ R) :=
@@ -490,7 +490,7 @@ theorem monomialOneHom_apply : monomialOneHom R σ s = (monomial s 1 : MvPolynom
 lean 3 declaration is
   forall {R : Type.{u1}} {σ : Type.{u2}} {e : Nat} {n : σ} [_inst_1 : CommSemiring.{u1} R], Eq.{succ (max u2 u1)} (MvPolynomial.{u2, u1} σ R _inst_1) (HPow.hPow.{max u2 u1, 0, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) Nat (MvPolynomial.{u2, u1} σ R _inst_1) (instHPow.{max u2 u1, 0} (MvPolynomial.{u2, u1} σ R _inst_1) Nat (Monoid.Pow.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MonoidWithZero.toMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toMonoidWithZero.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))))) (MvPolynomial.X.{u1, u2} R σ _inst_1 n) e) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 (Finsupp.single.{u2, 0} σ Nat Nat.hasZero n e)) (OfNat.ofNat.{u1} R 1 (OfNat.mk.{u1} R 1 (One.one.{u1} R (AddMonoidWithOne.toOne.{u1} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} R (NonAssocSemiring.toAddCommMonoidWithOne.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))))))
 but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} {e : Nat} {n : σ} [_inst_1 : CommSemiring.{u2} R], Eq.{max (succ u2) (succ u1)} (MvPolynomial.{u1, u2} σ R _inst_1) (HPow.hPow.{max u1 u2, 0, max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) Nat (MvPolynomial.{u1, u2} σ R _inst_1) (instHPow.{max u1 u2, 0} (MvPolynomial.{u1, u2} σ R _inst_1) Nat (Monoid.Pow.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MonoidWithZero.toMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toMonoidWithZero.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (MvPolynomial.X.{u2, u1} R σ _inst_1 n) e) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 (Finsupp.single.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) n e)) (OfNat.ofNat.{u2} R 1 (One.toOfNat1.{u2} R (Semiring.toOne.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))))
+  forall {R : Type.{u2}} {σ : Type.{u1}} {e : Nat} {n : σ} [_inst_1 : CommSemiring.{u2} R], Eq.{max (succ u2) (succ u1)} (MvPolynomial.{u1, u2} σ R _inst_1) (HPow.hPow.{max u1 u2, 0, max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) Nat (MvPolynomial.{u1, u2} σ R _inst_1) (instHPow.{max u1 u2, 0} (MvPolynomial.{u1, u2} σ R _inst_1) Nat (Monoid.Pow.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MonoidWithZero.toMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toMonoidWithZero.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (MvPolynomial.X.{u2, u1} R σ _inst_1 n) e) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 (Finsupp.single.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) n e)) (OfNat.ofNat.{u2} R 1 (One.toOfNat1.{u2} R (Semiring.toOne.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.X_pow_eq_monomial MvPolynomial.X_pow_eq_monomialₓ'. -/
 theorem X_pow_eq_monomial : X n ^ e = monomial (single n e) (1 : R) := by simp [X, monomial_pow]
 #align mv_polynomial.X_pow_eq_monomial MvPolynomial.X_pow_eq_monomial
@@ -499,7 +499,7 @@ theorem X_pow_eq_monomial : X n ^ e = monomial (single n e) (1 : R) := by simp [
 lean 3 declaration is
   forall {R : Type.{u1}} {σ : Type.{u2}} {a : R} {e : Nat} {n : σ} {s : Finsupp.{u2, 0} σ Nat Nat.hasZero} [_inst_1 : CommSemiring.{u1} R], Eq.{max (succ u2) (succ u1)} (MvPolynomial.{u2, u1} σ R _inst_1) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 (HAdd.hAdd.{u2, u2, u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.{u2, 0} σ Nat Nat.hasZero) (instHAdd.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.add.{u2, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid))) s (Finsupp.single.{u2, 0} σ Nat Nat.hasZero n e))) a) (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Distrib.toHasMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 s) a) (HPow.hPow.{max u2 u1, 0, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) Nat (MvPolynomial.{u2, u1} σ R _inst_1) (instHPow.{max u2 u1, 0} (MvPolynomial.{u2, u1} σ R _inst_1) Nat (Monoid.Pow.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MonoidWithZero.toMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toMonoidWithZero.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))))) (MvPolynomial.X.{u1, u2} R σ _inst_1 n) e))
 but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} {a : R} {e : Nat} {n : σ} {s : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)} [_inst_1 : CommSemiring.{u2} R], Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 (HAdd.hAdd.{u1, u1, u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (instHAdd.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.add.{u1, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid))) s (Finsupp.single.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) n e))) a) (HMul.hMul.{max u2 u1, max u1 u2, max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (MvPolynomial.{u1, u2} σ R _inst_1) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (instHMul.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (Semiring.toNonAssocSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (CommSemiring.toSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s) a) (HPow.hPow.{max u1 u2, 0, max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) Nat (MvPolynomial.{u1, u2} σ R _inst_1) (instHPow.{max u1 u2, 0} (MvPolynomial.{u1, u2} σ R _inst_1) Nat (Monoid.Pow.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MonoidWithZero.toMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toMonoidWithZero.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (MvPolynomial.X.{u2, u1} R σ _inst_1 n) e))
+  forall {R : Type.{u2}} {σ : Type.{u1}} {a : R} {e : Nat} {n : σ} {s : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)} [_inst_1 : CommSemiring.{u2} R], Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 (HAdd.hAdd.{u1, u1, u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (instHAdd.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.add.{u1, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid))) s (Finsupp.single.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) n e))) a) (HMul.hMul.{max u2 u1, max u1 u2, max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (MvPolynomial.{u1, u2} σ R _inst_1) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (instHMul.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (Semiring.toNonAssocSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (CommSemiring.toSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s) a) (HPow.hPow.{max u1 u2, 0, max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) Nat (MvPolynomial.{u1, u2} σ R _inst_1) (instHPow.{max u1 u2, 0} (MvPolynomial.{u1, u2} σ R _inst_1) Nat (Monoid.Pow.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MonoidWithZero.toMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toMonoidWithZero.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (MvPolynomial.X.{u2, u1} R σ _inst_1 n) e))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.monomial_add_single MvPolynomial.monomial_add_singleₓ'. -/
 theorem monomial_add_single : monomial (s + single n e) a = monomial s a * X n ^ e := by
   rw [X_pow_eq_monomial, monomial_mul, mul_one]
@@ -509,7 +509,7 @@ theorem monomial_add_single : monomial (s + single n e) a = monomial s a * X n ^
 lean 3 declaration is
   forall {R : Type.{u1}} {σ : Type.{u2}} {a : R} {e : Nat} {n : σ} {s : Finsupp.{u2, 0} σ Nat Nat.hasZero} [_inst_1 : CommSemiring.{u1} R], Eq.{max (succ u2) (succ u1)} (MvPolynomial.{u2, u1} σ R _inst_1) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 (HAdd.hAdd.{u2, u2, u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.{u2, 0} σ Nat Nat.hasZero) (instHAdd.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.add.{u2, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid))) (Finsupp.single.{u2, 0} σ Nat Nat.hasZero n e) s)) a) (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Distrib.toHasMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))) (HPow.hPow.{max u2 u1, 0, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) Nat (MvPolynomial.{u2, u1} σ R _inst_1) (instHPow.{max u2 u1, 0} (MvPolynomial.{u2, u1} σ R _inst_1) Nat (Monoid.Pow.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MonoidWithZero.toMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toMonoidWithZero.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))))) (MvPolynomial.X.{u1, u2} R σ _inst_1 n) e) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 s) a))
 but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} {a : R} {e : Nat} {n : σ} {s : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)} [_inst_1 : CommSemiring.{u2} R], Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 (HAdd.hAdd.{u1, u1, u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (instHAdd.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.add.{u1, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid))) (Finsupp.single.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) n e) s)) a) (HMul.hMul.{max u1 u2, max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (instHMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (HPow.hPow.{max u1 u2, 0, max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) Nat (MvPolynomial.{u1, u2} σ R _inst_1) (instHPow.{max u1 u2, 0} (MvPolynomial.{u1, u2} σ R _inst_1) Nat (Monoid.Pow.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MonoidWithZero.toMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toMonoidWithZero.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (MvPolynomial.X.{u2, u1} R σ _inst_1 n) e) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s) a))
+  forall {R : Type.{u2}} {σ : Type.{u1}} {a : R} {e : Nat} {n : σ} {s : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)} [_inst_1 : CommSemiring.{u2} R], Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 (HAdd.hAdd.{u1, u1, u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (instHAdd.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.add.{u1, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid))) (Finsupp.single.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) n e) s)) a) (HMul.hMul.{max u1 u2, max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (instHMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (HPow.hPow.{max u1 u2, 0, max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) Nat (MvPolynomial.{u1, u2} σ R _inst_1) (instHPow.{max u1 u2, 0} (MvPolynomial.{u1, u2} σ R _inst_1) Nat (Monoid.Pow.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MonoidWithZero.toMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toMonoidWithZero.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (MvPolynomial.X.{u2, u1} R σ _inst_1 n) e) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s) a))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.monomial_single_add MvPolynomial.monomial_single_addₓ'. -/
 theorem monomial_single_add : monomial (single n e + s) a = X n ^ e * monomial s a := by
   rw [X_pow_eq_monomial, monomial_mul, one_mul]
@@ -519,7 +519,7 @@ theorem monomial_single_add : monomial (single n e + s) a = X n ^ e * monomial s
 lean 3 declaration is
   forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {s : σ} {a : R} {n : Nat}, Eq.{succ (max u2 u1)} (MvPolynomial.{u2, u1} σ R _inst_1) (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Distrib.toHasMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (fun (_x : RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (MvPolynomial.C.{u1, u2} R σ _inst_1) a) (HPow.hPow.{max u2 u1, 0, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) Nat (MvPolynomial.{u2, u1} σ R _inst_1) (instHPow.{max u2 u1, 0} (MvPolynomial.{u2, u1} σ R _inst_1) Nat (Monoid.Pow.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MonoidWithZero.toMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toMonoidWithZero.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))))) (MvPolynomial.X.{u1, u2} R σ _inst_1 s) n)) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 (Finsupp.single.{u2, 0} σ Nat Nat.hasZero s n)) a)
 but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] {s : σ} {a : R} {n : Nat}, Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (HMul.hMul.{max u2 u1, max u1 u2, max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (MvPolynomial.{u1, u2} σ R _inst_1) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (instHMul.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (Semiring.toNonAssocSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (CommSemiring.toSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) a) (HPow.hPow.{max u1 u2, 0, max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) Nat (MvPolynomial.{u1, u2} σ R _inst_1) (instHPow.{max u1 u2, 0} (MvPolynomial.{u1, u2} σ R _inst_1) Nat (Monoid.Pow.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MonoidWithZero.toMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toMonoidWithZero.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (MvPolynomial.X.{u2, u1} R σ _inst_1 s) n)) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 (Finsupp.single.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) s n)) a)
+  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] {s : σ} {a : R} {n : Nat}, Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (HMul.hMul.{max u2 u1, max u1 u2, max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (MvPolynomial.{u1, u2} σ R _inst_1) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (instHMul.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (Semiring.toNonAssocSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (CommSemiring.toSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) a) (HPow.hPow.{max u1 u2, 0, max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) Nat (MvPolynomial.{u1, u2} σ R _inst_1) (instHPow.{max u1 u2, 0} (MvPolynomial.{u1, u2} σ R _inst_1) Nat (Monoid.Pow.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MonoidWithZero.toMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toMonoidWithZero.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (MvPolynomial.X.{u2, u1} R σ _inst_1 s) n)) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 (Finsupp.single.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) s n)) a)
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.C_mul_X_pow_eq_monomial MvPolynomial.C_mul_X_pow_eq_monomialₓ'. -/
 theorem C_mul_X_pow_eq_monomial {s : σ} {a : R} {n : ℕ} : C a * X s ^ n = monomial (single s n) a :=
   by rw [← zero_add (single s n), monomial_add_single, C_apply]
@@ -529,7 +529,7 @@ theorem C_mul_X_pow_eq_monomial {s : σ} {a : R} {n : ℕ} : C a * X s ^ n = mon
 lean 3 declaration is
   forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {s : σ} {a : R}, Eq.{succ (max u2 u1)} (MvPolynomial.{u2, u1} σ R _inst_1) (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Distrib.toHasMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (fun (_x : RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (MvPolynomial.C.{u1, u2} R σ _inst_1) a) (MvPolynomial.X.{u1, u2} R σ _inst_1 s)) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 (Finsupp.single.{u2, 0} σ Nat Nat.hasZero s (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) a)
 but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] {s : σ} {a : R}, Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (HMul.hMul.{max u2 u1, max u1 u2, max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (MvPolynomial.{u1, u2} σ R _inst_1) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (instHMul.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (Semiring.toNonAssocSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (CommSemiring.toSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) a) (MvPolynomial.X.{u2, u1} R σ _inst_1 s)) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 (Finsupp.single.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) s (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) a)
+  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] {s : σ} {a : R}, Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (HMul.hMul.{max u2 u1, max u1 u2, max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (MvPolynomial.{u1, u2} σ R _inst_1) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (instHMul.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (Semiring.toNonAssocSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (CommSemiring.toSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) a) (MvPolynomial.X.{u2, u1} R σ _inst_1 s)) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 (Finsupp.single.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) s (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) a)
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.C_mul_X_eq_monomial MvPolynomial.C_mul_X_eq_monomialₓ'. -/
 theorem C_mul_X_eq_monomial {s : σ} {a : R} : C a * X s = monomial (single s 1) a := by
   rw [← C_mul_X_pow_eq_monomial, pow_one]
@@ -539,7 +539,7 @@ theorem C_mul_X_eq_monomial {s : σ} {a : R} : C a * X s = monomial (single s 1)
 lean 3 declaration is
   forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {s : Finsupp.{u2, 0} σ Nat Nat.hasZero}, Eq.{max (succ u2) (succ u1)} (MvPolynomial.{u2, u1} σ R _inst_1) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 s) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))))))) (OfNat.ofNat.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) 0 (OfNat.mk.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) 0 (Zero.zero.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MulZeroClass.toHasZero.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toMulZeroClass.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))))))))
 but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] {s : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)}, Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))))) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))))) (OfNat.ofNat.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))))) 0 (Zero.toOfNat0.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))))) (CommMonoidWithZero.toZero.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))))) (CommSemiring.toCommMonoidWithZero.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))))) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))
+  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] {s : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)}, Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))))) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))))) (OfNat.ofNat.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))))) 0 (Zero.toOfNat0.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))))) (CommMonoidWithZero.toZero.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))))) (CommSemiring.toCommMonoidWithZero.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))))) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.monomial_zero MvPolynomial.monomial_zeroₓ'. -/
 @[simp]
 theorem monomial_zero {s : σ →₀ ℕ} : monomial s (0 : R) = 0 :=
@@ -550,7 +550,7 @@ theorem monomial_zero {s : σ →₀ ℕ} : monomial s (0 : R) = 0 :=
 lean 3 declaration is
   forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R], Eq.{max (succ u2) (succ u1)} ((fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 (OfNat.ofNat.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) 0 (OfNat.mk.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) 0 (Zero.zero.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.zero.{u2, 0} σ Nat Nat.hasZero)))))) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 (OfNat.ofNat.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) 0 (OfNat.mk.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) 0 (Zero.zero.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.zero.{u2, 0} σ Nat Nat.hasZero)))))) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (fun (_x : RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (MvPolynomial.C.{u1, u2} R σ _inst_1))
 but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R], Eq.{max (succ u2) (succ u1)} (forall (a : R), (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 (OfNat.ofNat.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) 0 (Zero.toOfNat0.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.zero.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)))))) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1))
+  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R], Eq.{max (succ u2) (succ u1)} (forall (a : R), (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 (OfNat.ofNat.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) 0 (Zero.toOfNat0.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.zero.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)))))) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.monomial_zero' MvPolynomial.monomial_zero'ₓ'. -/
 @[simp]
 theorem monomial_zero' : (monomial (0 : σ →₀ ℕ) : R → MvPolynomial σ R) = C :=
@@ -561,7 +561,7 @@ theorem monomial_zero' : (monomial (0 : σ →₀ ℕ) : R → MvPolynomial σ R
 lean 3 declaration is
   forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {s : Finsupp.{u2, 0} σ Nat Nat.hasZero} {b : R}, Iff (Eq.{max (succ u2) (succ u1)} (MvPolynomial.{u2, u1} σ R _inst_1) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 s) b) (OfNat.ofNat.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) 0 (OfNat.mk.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) 0 (Zero.zero.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MulZeroClass.toHasZero.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toMulZeroClass.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))))))))) (Eq.{succ u1} R b (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))))))
 but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] {s : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)} {b : R}, Iff (Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) b) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s) b) (OfNat.ofNat.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) b) 0 (Zero.toOfNat0.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) b) (CommMonoidWithZero.toZero.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) b) (CommSemiring.toCommMonoidWithZero.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) b) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (Eq.{succ u2} R b (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1)))))
+  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] {s : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)} {b : R}, Iff (Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) b) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s) b) (OfNat.ofNat.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) b) 0 (Zero.toOfNat0.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) b) (CommMonoidWithZero.toZero.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) b) (CommSemiring.toCommMonoidWithZero.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) b) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (Eq.{succ u2} R b (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1)))))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.monomial_eq_zero MvPolynomial.monomial_eq_zeroₓ'. -/
 @[simp]
 theorem monomial_eq_zero {s : σ →₀ ℕ} {b : R} : monomial s b = 0 ↔ b = 0 :=
@@ -572,7 +572,7 @@ theorem monomial_eq_zero {s : σ →₀ ℕ} {b : R} : monomial s b = 0 ↔ b =
 lean 3 declaration is
   forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {A : Type.{u3}} [_inst_3 : AddCommMonoid.{u3} A] {u : Finsupp.{u2, 0} σ Nat Nat.hasZero} {r : R} {b : (Finsupp.{u2, 0} σ Nat Nat.hasZero) -> R -> A}, (Eq.{succ u3} A (b u (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))))))) (OfNat.ofNat.{u3} A 0 (OfNat.mk.{u3} A 0 (Zero.zero.{u3} A (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A _inst_3))))))) -> (Eq.{succ u3} A (Finsupp.sum.{u2, u1, u3} (Finsupp.{u2, 0} σ Nat Nat.hasZero) R A (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) _inst_3 (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 u) r) b) (b u r))
 but is expected to have type
-  forall {R : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u3} R] {A : Type.{u2}} [_inst_3 : AddCommMonoid.{u2} A] {u : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)} {r : R} {b : (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) -> R -> A}, (Eq.{succ u2} A (b u (OfNat.ofNat.{u3} R 0 (Zero.toOfNat0.{u3} R (CommMonoidWithZero.toZero.{u3} R (CommSemiring.toCommMonoidWithZero.{u3} R _inst_1))))) (OfNat.ofNat.{u2} A 0 (Zero.toOfNat0.{u2} A (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A _inst_3))))) -> (Eq.{succ u2} A (Finsupp.sum.{u1, u3, u2} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R A (MonoidWithZero.toZero.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) _inst_3 (FunLike.coe.{max (succ u1) (succ u3), succ u3, max (succ u1) (succ u3)} (LinearMap.{u3, u3, u3, max u3 u1} R R (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) R (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (MvPolynomial.module.{u3, u3, u1} R R σ (CommSemiring.toSemiring.{u3} R _inst_1) _inst_1 (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u3} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u3, u3, u3, max u1 u3} R R R (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (MvPolynomial.module.{u3, u3, u1} R R σ (CommSemiring.toSemiring.{u3} R _inst_1) _inst_1 (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (MvPolynomial.monomial.{u3, u1} R σ _inst_1 u) r) b) (b u r))
+  forall {R : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u3} R] {A : Type.{u2}} [_inst_3 : AddCommMonoid.{u2} A] {u : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)} {r : R} {b : (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) -> R -> A}, (Eq.{succ u2} A (b u (OfNat.ofNat.{u3} R 0 (Zero.toOfNat0.{u3} R (CommMonoidWithZero.toZero.{u3} R (CommSemiring.toCommMonoidWithZero.{u3} R _inst_1))))) (OfNat.ofNat.{u2} A 0 (Zero.toOfNat0.{u2} A (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A _inst_3))))) -> (Eq.{succ u2} A (Finsupp.sum.{u1, u3, u2} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R A (MonoidWithZero.toZero.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) _inst_3 (FunLike.coe.{max (succ u1) (succ u3), succ u3, max (succ u1) (succ u3)} (LinearMap.{u3, u3, u3, max u3 u1} R R (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) R (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (MvPolynomial.module.{u3, u3, u1} R R σ (CommSemiring.toSemiring.{u3} R _inst_1) _inst_1 (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u3} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u3, u3, u3, max u1 u3} R R R (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (MvPolynomial.module.{u3, u3, u1} R R σ (CommSemiring.toSemiring.{u3} R _inst_1) _inst_1 (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (MvPolynomial.monomial.{u3, u1} R σ _inst_1 u) r) b) (b u r))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.sum_monomial_eq MvPolynomial.sum_monomial_eqₓ'. -/
 @[simp]
 theorem sum_monomial_eq {A : Type _} [AddCommMonoid A] {u : σ →₀ ℕ} {r : R} {b : (σ →₀ ℕ) → R → A}
@@ -596,7 +596,7 @@ theorem sum_C {A : Type _} [AddCommMonoid A] {b : (σ →₀ ℕ) → R → A} (
 lean 3 declaration is
   forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {α : Type.{u3}} (s : Finset.{u3} α) (f : α -> (Finsupp.{u2, 0} σ Nat Nat.hasZero)), Eq.{max (succ u2) (succ u1)} (MvPolynomial.{u2, u1} σ R _inst_1) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 (Finset.sum.{u2, u3} (Finsupp.{u2, 0} σ Nat Nat.hasZero) α (Finsupp.addCommMonoid.{u2, 0} σ Nat Nat.addCommMonoid) s (fun (i : α) => f i))) (OfNat.ofNat.{u1} R 1 (OfNat.mk.{u1} R 1 (One.one.{u1} R (AddMonoidWithOne.toOne.{u1} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} R (NonAssocSemiring.toAddCommMonoidWithOne.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))))))) (Finset.prod.{max u2 u1, u3} (MvPolynomial.{u2, u1} σ R _inst_1) α (CommSemiring.toCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) s (fun (i : α) => coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 (f i)) (OfNat.ofNat.{u1} R 1 (OfNat.mk.{u1} R 1 (One.one.{u1} R (AddMonoidWithOne.toOne.{u1} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} R (NonAssocSemiring.toAddCommMonoidWithOne.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))))))))
 but is expected to have type
-  forall {R : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u3} R] {α : Type.{u2}} (s : Finset.{u2} α) (f : α -> (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))), Eq.{max (succ u3) (succ u1)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u3} σ R _inst_1) (OfNat.ofNat.{u3} R 1 (One.toOfNat1.{u3} R (Semiring.toOne.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))))) (FunLike.coe.{max (succ u1) (succ u3), succ u3, max (succ u1) (succ u3)} (LinearMap.{u3, u3, u3, max u3 u1} R R (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) R (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (MvPolynomial.module.{u3, u3, u1} R R σ (CommSemiring.toSemiring.{u3} R _inst_1) _inst_1 (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u3} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u3, u3, u3, max u1 u3} R R R (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (MvPolynomial.module.{u3, u3, u1} R R σ (CommSemiring.toSemiring.{u3} R _inst_1) _inst_1 (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (MvPolynomial.monomial.{u3, u1} R σ _inst_1 (Finset.sum.{u1, u2} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) α (Finsupp.addCommMonoid.{u1, 0} σ Nat Nat.addCommMonoid) s (fun (i : α) => f i))) (OfNat.ofNat.{u3} R 1 (One.toOfNat1.{u3} R (Semiring.toOne.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))))) (Finset.prod.{max u1 u3, u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u3} σ R _inst_1) (OfNat.ofNat.{u3} R 1 (One.toOfNat1.{u3} R (Semiring.toOne.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))))) α (CommSemiring.toCommMonoid.{max u1 u3} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u3} σ R _inst_1) (OfNat.ofNat.{u3} R 1 (One.toOfNat1.{u3} R (Semiring.toOne.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))))) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) s (fun (i : α) => FunLike.coe.{max (succ u1) (succ u3), succ u3, max (succ u1) (succ u3)} (LinearMap.{u3, u3, u3, max u3 u1} R R (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) R (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (MvPolynomial.module.{u3, u3, u1} R R σ (CommSemiring.toSemiring.{u3} R _inst_1) _inst_1 (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u3} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u3, u3, u3, max u1 u3} R R R (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (MvPolynomial.module.{u3, u3, u1} R R σ (CommSemiring.toSemiring.{u3} R _inst_1) _inst_1 (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (MvPolynomial.monomial.{u3, u1} R σ _inst_1 (f i)) (OfNat.ofNat.{u3} R 1 (One.toOfNat1.{u3} R (Semiring.toOne.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))))))
+  forall {R : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u3} R] {α : Type.{u2}} (s : Finset.{u2} α) (f : α -> (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))), Eq.{max (succ u3) (succ u1)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u3} σ R _inst_1) (OfNat.ofNat.{u3} R 1 (One.toOfNat1.{u3} R (Semiring.toOne.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))))) (FunLike.coe.{max (succ u1) (succ u3), succ u3, max (succ u1) (succ u3)} (LinearMap.{u3, u3, u3, max u3 u1} R R (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) R (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (MvPolynomial.module.{u3, u3, u1} R R σ (CommSemiring.toSemiring.{u3} R _inst_1) _inst_1 (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u3} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u3, u3, u3, max u1 u3} R R R (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (MvPolynomial.module.{u3, u3, u1} R R σ (CommSemiring.toSemiring.{u3} R _inst_1) _inst_1 (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (MvPolynomial.monomial.{u3, u1} R σ _inst_1 (Finset.sum.{u1, u2} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) α (Finsupp.addCommMonoid.{u1, 0} σ Nat Nat.addCommMonoid) s (fun (i : α) => f i))) (OfNat.ofNat.{u3} R 1 (One.toOfNat1.{u3} R (Semiring.toOne.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))))) (Finset.prod.{max u1 u3, u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u3} σ R _inst_1) (OfNat.ofNat.{u3} R 1 (One.toOfNat1.{u3} R (Semiring.toOne.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))))) α (CommSemiring.toCommMonoid.{max u1 u3} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u3} σ R _inst_1) (OfNat.ofNat.{u3} R 1 (One.toOfNat1.{u3} R (Semiring.toOne.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))))) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) s (fun (i : α) => FunLike.coe.{max (succ u1) (succ u3), succ u3, max (succ u1) (succ u3)} (LinearMap.{u3, u3, u3, max u3 u1} R R (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) R (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (MvPolynomial.module.{u3, u3, u1} R R σ (CommSemiring.toSemiring.{u3} R _inst_1) _inst_1 (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u3} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u3, u3, u3, max u1 u3} R R R (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (MvPolynomial.module.{u3, u3, u1} R R σ (CommSemiring.toSemiring.{u3} R _inst_1) _inst_1 (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (MvPolynomial.monomial.{u3, u1} R σ _inst_1 (f i)) (OfNat.ofNat.{u3} R 1 (One.toOfNat1.{u3} R (Semiring.toOne.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))))))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.monomial_sum_one MvPolynomial.monomial_sum_oneₓ'. -/
 theorem monomial_sum_one {α : Type _} (s : Finset α) (f : α → σ →₀ ℕ) :
     (monomial (∑ i in s, f i) 1 : MvPolynomial σ R) = ∏ i in s, monomial (f i) 1 :=
@@ -607,7 +607,7 @@ theorem monomial_sum_one {α : Type _} (s : Finset α) (f : α → σ →₀ ℕ
 lean 3 declaration is
   forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {α : Type.{u3}} (s : Finset.{u3} α) (f : α -> (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (a : R), Eq.{max (succ u2) (succ u1)} (MvPolynomial.{u2, u1} σ R _inst_1) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 (Finset.sum.{u2, u3} (Finsupp.{u2, 0} σ Nat Nat.hasZero) α (Finsupp.addCommMonoid.{u2, 0} σ Nat Nat.addCommMonoid) s (fun (i : α) => f i))) a) (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Distrib.toHasMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (fun (_x : RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (MvPolynomial.C.{u1, u2} R σ _inst_1) a) (Finset.prod.{max u2 u1, u3} (MvPolynomial.{u2, u1} σ R _inst_1) α (CommSemiring.toCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) s (fun (i : α) => coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 (f i)) (OfNat.ofNat.{u1} R 1 (OfNat.mk.{u1} R 1 (One.one.{u1} R (AddMonoidWithOne.toOne.{u1} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} R (NonAssocSemiring.toAddCommMonoidWithOne.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))))))))
 but is expected to have type
-  forall {R : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u3} R] {α : Type.{u2}} (s : Finset.{u2} α) (f : α -> (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (a : R), Eq.{max (succ u3) (succ u1)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u3} σ R _inst_1) a) (FunLike.coe.{max (succ u1) (succ u3), succ u3, max (succ u1) (succ u3)} (LinearMap.{u3, u3, u3, max u3 u1} R R (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) R (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (MvPolynomial.module.{u3, u3, u1} R R σ (CommSemiring.toSemiring.{u3} R _inst_1) _inst_1 (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u3} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u3, u3, u3, max u1 u3} R R R (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (MvPolynomial.module.{u3, u3, u1} R R σ (CommSemiring.toSemiring.{u3} R _inst_1) _inst_1 (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (MvPolynomial.monomial.{u3, u1} R σ _inst_1 (Finset.sum.{u1, u2} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) α (Finsupp.addCommMonoid.{u1, 0} σ Nat Nat.addCommMonoid) s (fun (i : α) => f i))) a) (HMul.hMul.{max u3 u1, max u1 u3, max u3 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u3} σ R _inst_1) a) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u3} σ R _inst_1) (OfNat.ofNat.{u3} R 1 (One.toOfNat1.{u3} R (Semiring.toOne.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))))) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u3} σ R _inst_1) a) (instHMul.{max u3 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u3} σ R _inst_1) a) (NonUnitalNonAssocSemiring.toMul.{max u3 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u3} σ R _inst_1) a) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u3} σ R _inst_1) a) (Semiring.toNonAssocSemiring.{max u3 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u3} σ R _inst_1) a) (CommSemiring.toSemiring.{max u3 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u3} σ R _inst_1) a) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))))) (FunLike.coe.{max (succ u1) (succ u3), succ u3, max (succ u1) (succ u3)} (RingHom.{u3, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u3} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u3, u3, max u1 u3} (RingHom.{u3, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u3, u3, max u1 u3} (RingHom.{u3, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u3, u3, max u1 u3} (RingHom.{u3, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))))) (MvPolynomial.C.{u3, u1} R σ _inst_1) a) (Finset.prod.{max u1 u3, u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u3} σ R _inst_1) (OfNat.ofNat.{u3} R 1 (One.toOfNat1.{u3} R (Semiring.toOne.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))))) α (CommSemiring.toCommMonoid.{max u1 u3} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u3} σ R _inst_1) (OfNat.ofNat.{u3} R 1 (One.toOfNat1.{u3} R (Semiring.toOne.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))))) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) s (fun (i : α) => FunLike.coe.{max (succ u1) (succ u3), succ u3, max (succ u1) (succ u3)} (LinearMap.{u3, u3, u3, max u3 u1} R R (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) R (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (MvPolynomial.module.{u3, u3, u1} R R σ (CommSemiring.toSemiring.{u3} R _inst_1) _inst_1 (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u3} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u3, u3, u3, max u1 u3} R R R (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (MvPolynomial.module.{u3, u3, u1} R R σ (CommSemiring.toSemiring.{u3} R _inst_1) _inst_1 (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (MvPolynomial.monomial.{u3, u1} R σ _inst_1 (f i)) (OfNat.ofNat.{u3} R 1 (One.toOfNat1.{u3} R (Semiring.toOne.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))))))
+  forall {R : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u3} R] {α : Type.{u2}} (s : Finset.{u2} α) (f : α -> (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (a : R), Eq.{max (succ u3) (succ u1)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u3} σ R _inst_1) a) (FunLike.coe.{max (succ u1) (succ u3), succ u3, max (succ u1) (succ u3)} (LinearMap.{u3, u3, u3, max u3 u1} R R (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) R (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (MvPolynomial.module.{u3, u3, u1} R R σ (CommSemiring.toSemiring.{u3} R _inst_1) _inst_1 (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u3} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u3, u3, u3, max u1 u3} R R R (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (MvPolynomial.module.{u3, u3, u1} R R σ (CommSemiring.toSemiring.{u3} R _inst_1) _inst_1 (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (MvPolynomial.monomial.{u3, u1} R σ _inst_1 (Finset.sum.{u1, u2} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) α (Finsupp.addCommMonoid.{u1, 0} σ Nat Nat.addCommMonoid) s (fun (i : α) => f i))) a) (HMul.hMul.{max u3 u1, max u1 u3, max u3 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u3} σ R _inst_1) a) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u3} σ R _inst_1) (OfNat.ofNat.{u3} R 1 (One.toOfNat1.{u3} R (Semiring.toOne.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))))) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u3} σ R _inst_1) a) (instHMul.{max u3 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u3} σ R _inst_1) a) (NonUnitalNonAssocSemiring.toMul.{max u3 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u3} σ R _inst_1) a) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u3} σ R _inst_1) a) (Semiring.toNonAssocSemiring.{max u3 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u3} σ R _inst_1) a) (CommSemiring.toSemiring.{max u3 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u3} σ R _inst_1) a) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))))) (FunLike.coe.{max (succ u1) (succ u3), succ u3, max (succ u1) (succ u3)} (RingHom.{u3, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u3} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u3, u3, max u1 u3} (RingHom.{u3, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u3, u3, max u1 u3} (RingHom.{u3, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u3, u3, max u1 u3} (RingHom.{u3, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))))) (MvPolynomial.C.{u3, u1} R σ _inst_1) a) (Finset.prod.{max u1 u3, u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u3} σ R _inst_1) (OfNat.ofNat.{u3} R 1 (One.toOfNat1.{u3} R (Semiring.toOne.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))))) α (CommSemiring.toCommMonoid.{max u1 u3} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u3} σ R _inst_1) (OfNat.ofNat.{u3} R 1 (One.toOfNat1.{u3} R (Semiring.toOne.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))))) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) s (fun (i : α) => FunLike.coe.{max (succ u1) (succ u3), succ u3, max (succ u1) (succ u3)} (LinearMap.{u3, u3, u3, max u3 u1} R R (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) R (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (MvPolynomial.module.{u3, u3, u1} R R σ (CommSemiring.toSemiring.{u3} R _inst_1) _inst_1 (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u3} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u3, u3, u3, max u1 u3} R R R (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (MvPolynomial.module.{u3, u3, u1} R R σ (CommSemiring.toSemiring.{u3} R _inst_1) _inst_1 (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (MvPolynomial.monomial.{u3, u1} R σ _inst_1 (f i)) (OfNat.ofNat.{u3} R 1 (One.toOfNat1.{u3} R (Semiring.toOne.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))))))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.monomial_sum_index MvPolynomial.monomial_sum_indexₓ'. -/
 theorem monomial_sum_index {α : Type _} (s : Finset α) (f : α → σ →₀ ℕ) (a : R) :
     monomial (∑ i in s, f i) a = C a * ∏ i in s, monomial (f i) 1 := by
@@ -618,7 +618,7 @@ theorem monomial_sum_index {α : Type _} (s : Finset α) (f : α → σ →₀ 
 lean 3 declaration is
   forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {α : Type.{u3}} {β : Type.{u4}} [_inst_3 : Zero.{u4} β] (f : Finsupp.{u3, u4} α β _inst_3) (g : α -> β -> (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (a : R), Eq.{max (succ u2) (succ u1)} (MvPolynomial.{u2, u1} σ R _inst_1) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 (Finsupp.sum.{u3, u4, u2} α β (Finsupp.{u2, 0} σ Nat Nat.hasZero) _inst_3 (Finsupp.addCommMonoid.{u2, 0} σ Nat Nat.addCommMonoid) f g)) a) (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Distrib.toHasMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (fun (_x : RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (MvPolynomial.C.{u1, u2} R σ _inst_1) a) (Finsupp.prod.{u3, u4, max u2 u1} α β (MvPolynomial.{u2, u1} σ R _inst_1) _inst_3 (CommSemiring.toCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) f (fun (a : α) (b : β) => coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 (g a b)) (OfNat.ofNat.{u1} R 1 (OfNat.mk.{u1} R 1 (One.one.{u1} R (AddMonoidWithOne.toOne.{u1} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} R (NonAssocSemiring.toAddCommMonoidWithOne.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))))))))
 but is expected to have type
-  forall {R : Type.{u4}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u4} R] {α : Type.{u3}} {β : Type.{u2}} [_inst_3 : Zero.{u2} β] (f : Finsupp.{u3, u2} α β _inst_3) (g : α -> β -> (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (a : R), Eq.{max (succ u4) (succ u1)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u4} σ R _inst_1) a) (FunLike.coe.{max (succ u1) (succ u4), succ u4, max (succ u1) (succ u4)} (LinearMap.{u4, u4, u4, max u4 u1} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) R (MvPolynomial.{u1, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u1} R σ _inst_1))))) (Semiring.toModule.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (MvPolynomial.module.{u4, u4, u1} R R σ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_1 (Semiring.toModule.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u4} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u4, u4, u4, max u1 u4} R R R (MvPolynomial.{u1, u4} σ R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u1} R σ _inst_1))))) (Semiring.toModule.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (MvPolynomial.module.{u4, u4, u1} R R σ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_1 (Semiring.toModule.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (MvPolynomial.monomial.{u4, u1} R σ _inst_1 (Finsupp.sum.{u3, u2, u1} α β (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) _inst_3 (Finsupp.addCommMonoid.{u1, 0} σ Nat Nat.addCommMonoid) f g)) a) (HMul.hMul.{max u4 u1, max u1 u4, max u4 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u4} σ R _inst_1) a) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u4} σ R _inst_1) (OfNat.ofNat.{u4} R 1 (One.toOfNat1.{u4} R (Semiring.toOne.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))))) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u4} σ R _inst_1) a) (instHMul.{max u4 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u4} σ R _inst_1) a) (NonUnitalNonAssocSemiring.toMul.{max u4 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u4} σ R _inst_1) a) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u4} σ R _inst_1) a) (Semiring.toNonAssocSemiring.{max u4 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u4} σ R _inst_1) a) (CommSemiring.toSemiring.{max u4 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u4} σ R _inst_1) a) (MvPolynomial.commSemiring.{u4, u1} R σ _inst_1)))))) (FunLike.coe.{max (succ u1) (succ u4), succ u4, max (succ u1) (succ u4)} (RingHom.{u4, max u4 u1} R (MvPolynomial.{u1, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u4} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u4, u4, max u1 u4} (RingHom.{u4, max u4 u1} R (MvPolynomial.{u1, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u4} (MvPolynomial.{u1, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u4} (MvPolynomial.{u1, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u4, u4, max u1 u4} (RingHom.{u4, max u4 u1} R (MvPolynomial.{u1, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u4} (MvPolynomial.{u1, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u4, u4, max u1 u4} (RingHom.{u4, max u4 u1} R (MvPolynomial.{u1, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u4, max u1 u4} R (MvPolynomial.{u1, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u1} R σ _inst_1))))))) (MvPolynomial.C.{u4, u1} R σ _inst_1) a) (Finsupp.prod.{u3, u2, max u1 u4} α β ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u4} σ R _inst_1) (OfNat.ofNat.{u4} R 1 (One.toOfNat1.{u4} R (Semiring.toOne.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))))) _inst_3 (CommSemiring.toCommMonoid.{max u1 u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u4} σ R _inst_1) (OfNat.ofNat.{u4} R 1 (One.toOfNat1.{u4} R (Semiring.toOne.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))))) (MvPolynomial.commSemiring.{u4, u1} R σ _inst_1)) f (fun (a : α) (b : β) => FunLike.coe.{max (succ u1) (succ u4), succ u4, max (succ u1) (succ u4)} (LinearMap.{u4, u4, u4, max u4 u1} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) R (MvPolynomial.{u1, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u1} R σ _inst_1))))) (Semiring.toModule.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (MvPolynomial.module.{u4, u4, u1} R R σ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_1 (Semiring.toModule.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u4} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u4, u4, u4, max u1 u4} R R R (MvPolynomial.{u1, u4} σ R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u1} R σ _inst_1))))) (Semiring.toModule.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (MvPolynomial.module.{u4, u4, u1} R R σ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_1 (Semiring.toModule.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (MvPolynomial.monomial.{u4, u1} R σ _inst_1 (g a b)) (OfNat.ofNat.{u4} R 1 (One.toOfNat1.{u4} R (Semiring.toOne.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))))))
+  forall {R : Type.{u4}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u4} R] {α : Type.{u3}} {β : Type.{u2}} [_inst_3 : Zero.{u2} β] (f : Finsupp.{u3, u2} α β _inst_3) (g : α -> β -> (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (a : R), Eq.{max (succ u4) (succ u1)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u4} σ R _inst_1) a) (FunLike.coe.{max (succ u1) (succ u4), succ u4, max (succ u1) (succ u4)} (LinearMap.{u4, u4, u4, max u4 u1} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) R (MvPolynomial.{u1, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u1} R σ _inst_1))))) (Semiring.toModule.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (MvPolynomial.module.{u4, u4, u1} R R σ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_1 (Semiring.toModule.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u4} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u4, u4, u4, max u1 u4} R R R (MvPolynomial.{u1, u4} σ R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u1} R σ _inst_1))))) (Semiring.toModule.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (MvPolynomial.module.{u4, u4, u1} R R σ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_1 (Semiring.toModule.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (MvPolynomial.monomial.{u4, u1} R σ _inst_1 (Finsupp.sum.{u3, u2, u1} α β (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) _inst_3 (Finsupp.addCommMonoid.{u1, 0} σ Nat Nat.addCommMonoid) f g)) a) (HMul.hMul.{max u4 u1, max u1 u4, max u4 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u4} σ R _inst_1) a) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u4} σ R _inst_1) (OfNat.ofNat.{u4} R 1 (One.toOfNat1.{u4} R (Semiring.toOne.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))))) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u4} σ R _inst_1) a) (instHMul.{max u4 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u4} σ R _inst_1) a) (NonUnitalNonAssocSemiring.toMul.{max u4 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u4} σ R _inst_1) a) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u4} σ R _inst_1) a) (Semiring.toNonAssocSemiring.{max u4 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u4} σ R _inst_1) a) (CommSemiring.toSemiring.{max u4 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u4} σ R _inst_1) a) (MvPolynomial.commSemiring.{u4, u1} R σ _inst_1)))))) (FunLike.coe.{max (succ u1) (succ u4), succ u4, max (succ u1) (succ u4)} (RingHom.{u4, max u4 u1} R (MvPolynomial.{u1, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u4} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u4, u4, max u1 u4} (RingHom.{u4, max u4 u1} R (MvPolynomial.{u1, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u4} (MvPolynomial.{u1, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u4} (MvPolynomial.{u1, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u4, u4, max u1 u4} (RingHom.{u4, max u4 u1} R (MvPolynomial.{u1, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u4} (MvPolynomial.{u1, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u4, u4, max u1 u4} (RingHom.{u4, max u4 u1} R (MvPolynomial.{u1, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u4, max u1 u4} R (MvPolynomial.{u1, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u1} R σ _inst_1))))))) (MvPolynomial.C.{u4, u1} R σ _inst_1) a) (Finsupp.prod.{u3, u2, max u1 u4} α β ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u4} σ R _inst_1) (OfNat.ofNat.{u4} R 1 (One.toOfNat1.{u4} R (Semiring.toOne.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))))) _inst_3 (CommSemiring.toCommMonoid.{max u1 u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u4} σ R _inst_1) (OfNat.ofNat.{u4} R 1 (One.toOfNat1.{u4} R (Semiring.toOne.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))))) (MvPolynomial.commSemiring.{u4, u1} R σ _inst_1)) f (fun (a : α) (b : β) => FunLike.coe.{max (succ u1) (succ u4), succ u4, max (succ u1) (succ u4)} (LinearMap.{u4, u4, u4, max u4 u1} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) R (MvPolynomial.{u1, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u1} R σ _inst_1))))) (Semiring.toModule.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (MvPolynomial.module.{u4, u4, u1} R R σ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_1 (Semiring.toModule.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u4} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u4, u4, u4, max u1 u4} R R R (MvPolynomial.{u1, u4} σ R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u1} R σ _inst_1))))) (Semiring.toModule.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (MvPolynomial.module.{u4, u4, u1} R R σ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_1 (Semiring.toModule.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (MvPolynomial.monomial.{u4, u1} R σ _inst_1 (g a b)) (OfNat.ofNat.{u4} R 1 (One.toOfNat1.{u4} R (Semiring.toOne.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))))))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.monomial_finsupp_sum_index MvPolynomial.monomial_finsupp_sum_indexₓ'. -/
 theorem monomial_finsupp_sum_index {α β : Type _} [Zero β] (f : α →₀ β) (g : α → β → σ →₀ ℕ)
     (a : R) : monomial (f.Sum g) a = C a * f.Prod fun a b => monomial (g a b) 1 :=
@@ -629,7 +629,7 @@ theorem monomial_finsupp_sum_index {α β : Type _} [Zero β] (f : α →₀ β)
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : CommSemiring.{u1} R] {α : Type.{u2}} (a₁ : Finsupp.{u2, 0} α Nat Nat.hasZero) (a₂ : Finsupp.{u2, 0} α Nat Nat.hasZero) (b₁ : R) (b₂ : R), Iff (Eq.{max (succ u2) (succ u1)} (MvPolynomial.{u2, u1} α R _inst_1) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} α R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} α R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} α R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} α R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} α R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R α _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R α (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} α R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} α R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} α R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} α R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} α R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R α _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R α (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} α R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} α R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} α R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} α R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} α R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} α R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R α _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R α (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R α _inst_1 a₁) b₁) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} α R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} α R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} α R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} α R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} α R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R α _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R α (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} α R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} α R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} α R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} α R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} α R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R α _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R α (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} α R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} α R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} α R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} α R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} α R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} α R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R α _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R α (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R α _inst_1 a₂) b₂)) (Or (And (Eq.{succ u2} (Finsupp.{u2, 0} α Nat Nat.hasZero) a₁ a₂) (Eq.{succ u1} R b₁ b₂)) (And (Eq.{succ u1} R b₁ (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))))))) (Eq.{succ u1} R b₂ (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))))))))
 but is expected to have type
-  forall {R : Type.{u2}} [_inst_1 : CommSemiring.{u2} R] {α : Type.{u1}} (a₁ : Finsupp.{u1, 0} α Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (a₂ : Finsupp.{u1, 0} α Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (b₁ : R) (b₂ : R), Iff (Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} α R _inst_1) b₁) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} α R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} α R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} α R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} α R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} α R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R α _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R α (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} α R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} α R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} α R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} α R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} α R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} α R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R α _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R α (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R α _inst_1 a₁) b₁) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} α R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} α R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} α R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} α R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} α R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R α _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R α (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} α R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} α R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} α R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} α R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} α R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} α R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R α _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R α (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R α _inst_1 a₂) b₂)) (Or (And (Eq.{succ u1} (Finsupp.{u1, 0} α Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) a₁ a₂) (Eq.{succ u2} R b₁ b₂)) (And (Eq.{succ u2} R b₁ (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))))) (Eq.{succ u2} R b₂ (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1)))))))
+  forall {R : Type.{u2}} [_inst_1 : CommSemiring.{u2} R] {α : Type.{u1}} (a₁ : Finsupp.{u1, 0} α Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (a₂ : Finsupp.{u1, 0} α Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (b₁ : R) (b₂ : R), Iff (Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} α R _inst_1) b₁) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} α R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} α R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} α R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} α R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} α R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R α _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R α (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} α R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} α R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} α R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} α R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} α R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} α R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R α _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R α (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R α _inst_1 a₁) b₁) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} α R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} α R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} α R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} α R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} α R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R α _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R α (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} α R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} α R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} α R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} α R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} α R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} α R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R α _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R α (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R α _inst_1 a₂) b₂)) (Or (And (Eq.{succ u1} (Finsupp.{u1, 0} α Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) a₁ a₂) (Eq.{succ u2} R b₁ b₂)) (And (Eq.{succ u2} R b₁ (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))))) (Eq.{succ u2} R b₂ (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1)))))))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.monomial_eq_monomial_iff MvPolynomial.monomial_eq_monomial_iffₓ'. -/
 theorem monomial_eq_monomial_iff {α : Type _} (a₁ a₂ : α →₀ ℕ) (b₁ b₂ : R) :
     monomial a₁ b₁ = monomial a₂ b₂ ↔ a₁ = a₂ ∧ b₁ = b₂ ∨ b₁ = 0 ∧ b₂ = 0 :=
@@ -640,7 +640,7 @@ theorem monomial_eq_monomial_iff {α : Type _} (a₁ a₂ : α →₀ ℕ) (b₁
 lean 3 declaration is
   forall {R : Type.{u1}} {σ : Type.{u2}} {a : R} {s : Finsupp.{u2, 0} σ Nat Nat.hasZero} [_inst_1 : CommSemiring.{u1} R], Eq.{max (succ u2) (succ u1)} (MvPolynomial.{u2, u1} σ R _inst_1) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 s) a) (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Distrib.toHasMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (fun (_x : RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (MvPolynomial.C.{u1, u2} R σ _inst_1) a) (Finsupp.prod.{u2, 0, max u2 u1} σ Nat (MvPolynomial.{u2, u1} σ R _inst_1) Nat.hasZero (CommSemiring.toCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) s (fun (n : σ) (e : Nat) => HPow.hPow.{max u2 u1, 0, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) Nat (MvPolynomial.{u2, u1} σ R _inst_1) (instHPow.{max u2 u1, 0} (MvPolynomial.{u2, u1} σ R _inst_1) Nat (Monoid.Pow.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MonoidWithZero.toMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toMonoidWithZero.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))))) (MvPolynomial.X.{u1, u2} R σ _inst_1 n) e)))
 but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} {a : R} {s : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)} [_inst_1 : CommSemiring.{u2} R], Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s) a) (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (MvPolynomial.{u1, u2} σ R _inst_1) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (instHMul.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (Semiring.toNonAssocSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (CommSemiring.toSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) a) (Finsupp.prod.{u1, 0, max u2 u1} σ Nat (MvPolynomial.{u1, u2} σ R _inst_1) (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) (CommSemiring.toCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) s (fun (n : σ) (e : Nat) => HPow.hPow.{max u1 u2, 0, max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) Nat (MvPolynomial.{u1, u2} σ R _inst_1) (instHPow.{max u1 u2, 0} (MvPolynomial.{u1, u2} σ R _inst_1) Nat (Monoid.Pow.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MonoidWithZero.toMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toMonoidWithZero.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (MvPolynomial.X.{u2, u1} R σ _inst_1 n) e)))
+  forall {R : Type.{u2}} {σ : Type.{u1}} {a : R} {s : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)} [_inst_1 : CommSemiring.{u2} R], Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s) a) (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (MvPolynomial.{u1, u2} σ R _inst_1) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (instHMul.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (Semiring.toNonAssocSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (CommSemiring.toSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) a) (Finsupp.prod.{u1, 0, max u2 u1} σ Nat (MvPolynomial.{u1, u2} σ R _inst_1) (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) (CommSemiring.toCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) s (fun (n : σ) (e : Nat) => HPow.hPow.{max u1 u2, 0, max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) Nat (MvPolynomial.{u1, u2} σ R _inst_1) (instHPow.{max u1 u2, 0} (MvPolynomial.{u1, u2} σ R _inst_1) Nat (Monoid.Pow.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MonoidWithZero.toMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toMonoidWithZero.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (MvPolynomial.X.{u2, u1} R σ _inst_1 n) e)))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.monomial_eq MvPolynomial.monomial_eqₓ'. -/
 theorem monomial_eq : monomial s a = C a * (s.Prod fun n e => X n ^ e : MvPolynomial σ R) := by
   simp only [X_pow_eq_monomial, ← monomial_finsupp_sum_index, Finsupp.sum_single]
@@ -650,7 +650,7 @@ theorem monomial_eq : monomial s a = C a * (s.Prod fun n e => X n ^ e : MvPolyno
 lean 3 declaration is
   forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {M : (MvPolynomial.{u2, u1} σ R _inst_1) -> Prop}, (forall (a : R), M (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (fun (_x : RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (MvPolynomial.C.{u1, u2} R σ _inst_1) a)) -> (forall (p : MvPolynomial.{u2, u1} σ R _inst_1) (n : σ), (M p) -> (M (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Distrib.toHasMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))) p (MvPolynomial.X.{u1, u2} R σ _inst_1 n)))) -> (forall (s : Finsupp.{u2, 0} σ Nat Nat.hasZero) (a : R), M (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 s) a))
 but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] {M : (MvPolynomial.{u1, u2} σ R _inst_1) -> Prop}, (forall (a : R), M (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) a)) -> (forall (p : MvPolynomial.{u1, u2} σ R _inst_1) (n : σ), (M p) -> (M (HMul.hMul.{max u2 u1, max u1 u2, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) p (MvPolynomial.X.{u2, u1} R σ _inst_1 n)))) -> (forall (s : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (a : R), M (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s) a))
+  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] {M : (MvPolynomial.{u1, u2} σ R _inst_1) -> Prop}, (forall (a : R), M (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) a)) -> (forall (p : MvPolynomial.{u1, u2} σ R _inst_1) (n : σ), (M p) -> (M (HMul.hMul.{max u2 u1, max u1 u2, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) p (MvPolynomial.X.{u2, u1} R σ _inst_1 n)))) -> (forall (s : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (a : R), M (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s) a))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.induction_on_monomial MvPolynomial.induction_on_monomialₓ'. -/
 theorem induction_on_monomial {M : MvPolynomial σ R → Prop} (h_C : ∀ a, M (C a))
     (h_X : ∀ p n, M p → M (p * X n)) : ∀ s a, M (monomial s a) :=
@@ -673,7 +673,7 @@ theorem induction_on_monomial {M : MvPolynomial σ R → Prop} (h_C : ∀ a, M (
 lean 3 declaration is
   forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {P : (MvPolynomial.{u2, u1} σ R _inst_1) -> Prop} (p : MvPolynomial.{u2, u1} σ R _inst_1), (forall (u : Finsupp.{u2, 0} σ Nat Nat.hasZero) (a : R), P (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 u) a)) -> (forall (p : MvPolynomial.{u2, u1} σ R _inst_1) (q : MvPolynomial.{u2, u1} σ R _inst_1), (P p) -> (P q) -> (P (HAdd.hAdd.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (instHAdd.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Distrib.toHasAdd.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))) p q))) -> (P p)
 but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] {P : (MvPolynomial.{u1, u2} σ R _inst_1) -> Prop} (p : MvPolynomial.{u1, u2} σ R _inst_1), (forall (u : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (a : R), P (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 u) a)) -> (forall (p : MvPolynomial.{u1, u2} σ R _inst_1) (q : MvPolynomial.{u1, u2} σ R _inst_1), (P p) -> (P q) -> (P (HAdd.hAdd.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (instHAdd.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Distrib.toAdd.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) p q))) -> (P p)
+  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] {P : (MvPolynomial.{u1, u2} σ R _inst_1) -> Prop} (p : MvPolynomial.{u1, u2} σ R _inst_1), (forall (u : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (a : R), P (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 u) a)) -> (forall (p : MvPolynomial.{u1, u2} σ R _inst_1) (q : MvPolynomial.{u1, u2} σ R _inst_1), (P p) -> (P q) -> (P (HAdd.hAdd.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (instHAdd.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Distrib.toAdd.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) p q))) -> (P p)
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.induction_on' MvPolynomial.induction_on'ₓ'. -/
 /-- Analog of `polynomial.induction_on'`.
 To prove something about mv_polynomials,
@@ -693,7 +693,7 @@ theorem induction_on' {P : MvPolynomial σ R → Prop} (p : MvPolynomial σ R)
 lean 3 declaration is
   forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {M : (MvPolynomial.{u2, u1} σ R _inst_1) -> Prop} (p : MvPolynomial.{u2, u1} σ R _inst_1), (forall (a : R), M (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (fun (_x : RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (MvPolynomial.C.{u1, u2} R σ _inst_1) a)) -> (forall (a : Finsupp.{u2, 0} σ Nat Nat.hasZero) (b : R) (f : Finsupp.{u2, u1} (Finsupp.{u2, 0} σ Nat Nat.hasZero) R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))), (Not (Membership.Mem.{u2, u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finset.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (Finset.hasMem.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) a (Finsupp.support.{u2, u1} (Finsupp.{u2, 0} σ Nat Nat.hasZero) R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) f))) -> (Ne.{succ u1} R b (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))))))) -> (M f) -> (M (HAdd.hAdd.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (instHAdd.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Distrib.toHasAdd.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 a) b) f))) -> (M p)
 but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] {M : (MvPolynomial.{u1, u2} σ R _inst_1) -> Prop} (p : MvPolynomial.{u1, u2} σ R _inst_1), (forall (a : R), M (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) a)) -> (forall (a : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (b : R) (f : Finsupp.{u1, u2} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))), (Not (Membership.mem.{u1, u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (Finset.instMembershipFinset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) a (Finsupp.support.{u1, u2} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1)) f))) -> (Ne.{succ u2} R b (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))))) -> (M f) -> (M (HAdd.hAdd.{max u2 u1, max u2 u1, max u2 u1} (Finsupp.{u1, u2} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))) (Finsupp.{u1, u2} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))) (Finsupp.{u1, u2} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))) (instHAdd.{max u2 u1} (Finsupp.{u1, u2} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))) (Finsupp.add.{u1, u2} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (AddMonoid.toAddZeroClass.{u2} R (AddMonoidWithOne.toAddMonoid.{u2} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u2} R (NonAssocSemiring.toAddCommMonoidWithOne.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))))))) ([mdata let_fun:1 (fun (this : Finsupp.{u1, u2} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))) => this) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (a : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 a) b)]) f))) -> (M p)
+  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] {M : (MvPolynomial.{u1, u2} σ R _inst_1) -> Prop} (p : MvPolynomial.{u1, u2} σ R _inst_1), (forall (a : R), M (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) a)) -> (forall (a : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (b : R) (f : Finsupp.{u1, u2} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))), (Not (Membership.mem.{u1, u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (Finset.instMembershipFinset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) a (Finsupp.support.{u1, u2} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1)) f))) -> (Ne.{succ u2} R b (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))))) -> (M f) -> (M (HAdd.hAdd.{max u2 u1, max u2 u1, max u2 u1} (Finsupp.{u1, u2} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))) (Finsupp.{u1, u2} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))) (Finsupp.{u1, u2} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))) (instHAdd.{max u2 u1} (Finsupp.{u1, u2} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))) (Finsupp.add.{u1, u2} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (AddMonoid.toAddZeroClass.{u2} R (AddMonoidWithOne.toAddMonoid.{u2} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u2} R (NonAssocSemiring.toAddCommMonoidWithOne.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))))))) ([mdata let_fun:1 (fun (this : Finsupp.{u1, u2} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))) => this) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (a : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 a) b)]) f))) -> (M p)
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.induction_on''' MvPolynomial.induction_on'''ₓ'. -/
 /-- Similar to `mv_polynomial.induction_on` but only a weak form of `h_add` is required.-/
 theorem induction_on''' {M : MvPolynomial σ R → Prop} (p : MvPolynomial σ R) (h_C : ∀ a, M (C a))
@@ -708,7 +708,7 @@ theorem induction_on''' {M : MvPolynomial σ R → Prop} (p : MvPolynomial σ R)
 lean 3 declaration is
   forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {M : (MvPolynomial.{u2, u1} σ R _inst_1) -> Prop} (p : MvPolynomial.{u2, u1} σ R _inst_1), (forall (a : R), M (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (fun (_x : RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (MvPolynomial.C.{u1, u2} R σ _inst_1) a)) -> (forall (a : Finsupp.{u2, 0} σ Nat Nat.hasZero) (b : R) (f : Finsupp.{u2, u1} (Finsupp.{u2, 0} σ Nat Nat.hasZero) R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))), (Not (Membership.Mem.{u2, u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finset.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (Finset.hasMem.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) a (Finsupp.support.{u2, u1} (Finsupp.{u2, 0} σ Nat Nat.hasZero) R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) f))) -> (Ne.{succ u1} R b (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))))))) -> (M f) -> (M (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 a) b)) -> (M (HAdd.hAdd.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (instHAdd.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Distrib.toHasAdd.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 a) b) f))) -> (forall (p : MvPolynomial.{u2, u1} σ R _inst_1) (n : σ), (M p) -> (M (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Distrib.toHasMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))) p (MvPolynomial.X.{u1, u2} R σ _inst_1 n)))) -> (M p)
 but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] {M : (MvPolynomial.{u1, u2} σ R _inst_1) -> Prop} (p : MvPolynomial.{u1, u2} σ R _inst_1), (forall (a : R), M (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) a)) -> (forall (a : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (b : R) (f : Finsupp.{u1, u2} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))), (Not (Membership.mem.{u1, u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (Finset.instMembershipFinset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) a (Finsupp.support.{u1, u2} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1)) f))) -> (Ne.{succ u2} R b (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))))) -> (M f) -> (M (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 a) b)) -> (M (HAdd.hAdd.{max u2 u1, max u2 u1, max u2 u1} (Finsupp.{u1, u2} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))) (Finsupp.{u1, u2} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))) (Finsupp.{u1, u2} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))) (instHAdd.{max u2 u1} (Finsupp.{u1, u2} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))) (Finsupp.add.{u1, u2} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (AddMonoid.toAddZeroClass.{u2} R (AddMonoidWithOne.toAddMonoid.{u2} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u2} R (NonAssocSemiring.toAddCommMonoidWithOne.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))))))) ([mdata let_fun:1 (fun (this : Finsupp.{u1, u2} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))) => this) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (a : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 a) b)]) f))) -> (forall (p : MvPolynomial.{u1, u2} σ R _inst_1) (n : σ), (M p) -> (M (HMul.hMul.{max u2 u1, max u1 u2, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) p (MvPolynomial.X.{u2, u1} R σ _inst_1 n)))) -> (M p)
+  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] {M : (MvPolynomial.{u1, u2} σ R _inst_1) -> Prop} (p : MvPolynomial.{u1, u2} σ R _inst_1), (forall (a : R), M (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) a)) -> (forall (a : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (b : R) (f : Finsupp.{u1, u2} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))), (Not (Membership.mem.{u1, u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (Finset.instMembershipFinset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) a (Finsupp.support.{u1, u2} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1)) f))) -> (Ne.{succ u2} R b (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))))) -> (M f) -> (M (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 a) b)) -> (M (HAdd.hAdd.{max u2 u1, max u2 u1, max u2 u1} (Finsupp.{u1, u2} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))) (Finsupp.{u1, u2} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))) (Finsupp.{u1, u2} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))) (instHAdd.{max u2 u1} (Finsupp.{u1, u2} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))) (Finsupp.add.{u1, u2} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (AddMonoid.toAddZeroClass.{u2} R (AddMonoidWithOne.toAddMonoid.{u2} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u2} R (NonAssocSemiring.toAddCommMonoidWithOne.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))))))) ([mdata let_fun:1 (fun (this : Finsupp.{u1, u2} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))) => this) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (a : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 a) b)]) f))) -> (forall (p : MvPolynomial.{u1, u2} σ R _inst_1) (n : σ), (M p) -> (M (HMul.hMul.{max u2 u1, max u1 u2, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) p (MvPolynomial.X.{u2, u1} R σ _inst_1 n)))) -> (M p)
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.induction_on'' MvPolynomial.induction_on''ₓ'. -/
 /-- Similar to `mv_polynomial.induction_on` but only a yet weaker form of `h_add` is required.-/
 theorem induction_on'' {M : MvPolynomial σ R → Prop} (p : MvPolynomial σ R) (h_C : ∀ a, M (C a))
@@ -785,7 +785,7 @@ theorem is_id (f : MvPolynomial σ R →+* MvPolynomial σ R) (hC : f.comp C = C
 lean 3 declaration is
   forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {A : Type.{u3}} {B : Type.{u4}} [_inst_3 : CommSemiring.{u3} A] [_inst_4 : CommSemiring.{u4} B] [_inst_5 : Algebra.{u1, u3} R A _inst_1 (CommSemiring.toSemiring.{u3} A _inst_3)] [_inst_6 : Algebra.{u1, u4} R B _inst_1 (CommSemiring.toSemiring.{u4} B _inst_4)] {f : AlgHom.{u1, max u2 u3, u4} R (MvPolynomial.{u2, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u2} A σ _inst_3)) (CommSemiring.toSemiring.{u4} B _inst_4) (MvPolynomial.algebra.{u1, u3, u2} R A σ _inst_1 _inst_3 _inst_5) _inst_6} {g : AlgHom.{u1, max u2 u3, u4} R (MvPolynomial.{u2, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u2} A σ _inst_3)) (CommSemiring.toSemiring.{u4} B _inst_4) (MvPolynomial.algebra.{u1, u3, u2} R A σ _inst_1 _inst_3 _inst_5) _inst_6}, (Eq.{max (succ u3) (succ u4)} (AlgHom.{u1, u3, u4} R A B _inst_1 (CommSemiring.toSemiring.{u3} A _inst_3) (CommSemiring.toSemiring.{u4} B _inst_4) _inst_5 _inst_6) (AlgHom.comp.{u1, u3, max u2 u3, u4} R A (MvPolynomial.{u2, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{u3} A _inst_3) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u2} A σ _inst_3)) (CommSemiring.toSemiring.{u4} B _inst_4) _inst_5 (MvPolynomial.algebra.{u1, u3, u2} R A σ _inst_1 _inst_3 _inst_5) _inst_6 f (IsScalarTower.toAlgHom.{u1, u3, max u2 u3} R A (MvPolynomial.{u2, u3} σ A _inst_3) _inst_1 _inst_3 (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u2} A σ _inst_3)) _inst_5 (MvPolynomial.algebra.{u3, u3, u2} A A σ _inst_3 _inst_3 (Algebra.id.{u3} A _inst_3)) (MvPolynomial.algebra.{u1, u3, u2} R A σ _inst_1 _inst_3 _inst_5) (MvPolynomial.isScalarTower.{u1, u3, u3, u2} R A A σ _inst_3 (SMulZeroClass.toHasSmul.{u1, u3} R A (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3))))))) (SMulWithZero.toSmulZeroClass.{u1, u3} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3))))))) (MulActionWithZero.toSMulWithZero.{u1, u3} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3))))))) (Module.toMulActionWithZero.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3)))) (Algebra.toModule.{u1, u3} R A _inst_1 (CommSemiring.toSemiring.{u3} A _inst_3) _inst_5))))) (SMulWithZero.toSmulZeroClass.{u1, u3} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (MulZeroClass.toHasZero.{u3} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u3} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toHasZero.{u3} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3))))) (Module.toMulActionWithZero.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3)))) (Algebra.toModule.{u1, u3} R A _inst_1 (CommSemiring.toSemiring.{u3} A _inst_3) _inst_5)))) (SMulWithZero.toSmulZeroClass.{u3, u3} A A (MulZeroClass.toHasZero.{u3} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3))))) (MulZeroClass.toHasZero.{u3} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3))))) (MulZeroClass.toSMulWithZero.{u3} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3)))))) (IsScalarTower.right.{u1, u3} R A _inst_1 (CommSemiring.toSemiring.{u3} A _inst_3) _inst_5)))) (AlgHom.comp.{u1, u3, max u2 u3, u4} R A (MvPolynomial.{u2, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{u3} A _inst_3) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u2} A σ _inst_3)) (CommSemiring.toSemiring.{u4} B _inst_4) _inst_5 (MvPolynomial.algebra.{u1, u3, u2} R A σ _inst_1 _inst_3 _inst_5) _inst_6 g (IsScalarTower.toAlgHom.{u1, u3, max u2 u3} R A (MvPolynomial.{u2, u3} σ A _inst_3) _inst_1 _inst_3 (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u2} A σ _inst_3)) _inst_5 (MvPolynomial.algebra.{u3, u3, u2} A A σ _inst_3 _inst_3 (Algebra.id.{u3} A _inst_3)) (MvPolynomial.algebra.{u1, u3, u2} R A σ _inst_1 _inst_3 _inst_5) (MvPolynomial.isScalarTower.{u1, u3, u3, u2} R A A σ _inst_3 (SMulZeroClass.toHasSmul.{u1, u3} R A (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3))))))) (SMulWithZero.toSmulZeroClass.{u1, u3} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3))))))) (MulActionWithZero.toSMulWithZero.{u1, u3} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3))))))) (Module.toMulActionWithZero.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3)))) (Algebra.toModule.{u1, u3} R A _inst_1 (CommSemiring.toSemiring.{u3} A _inst_3) _inst_5))))) (SMulWithZero.toSmulZeroClass.{u1, u3} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (MulZeroClass.toHasZero.{u3} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u3} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toHasZero.{u3} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3))))) (Module.toMulActionWithZero.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3)))) (Algebra.toModule.{u1, u3} R A _inst_1 (CommSemiring.toSemiring.{u3} A _inst_3) _inst_5)))) (SMulWithZero.toSmulZeroClass.{u3, u3} A A (MulZeroClass.toHasZero.{u3} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3))))) (MulZeroClass.toHasZero.{u3} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3))))) (MulZeroClass.toSMulWithZero.{u3} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3)))))) (IsScalarTower.right.{u1, u3} R A _inst_1 (CommSemiring.toSemiring.{u3} A _inst_3) _inst_5))))) -> (forall (i : σ), Eq.{succ u4} B (coeFn.{max (succ (max u2 u3)) (succ u4), max (succ (max u2 u3)) (succ u4)} (AlgHom.{u1, max u2 u3, u4} R (MvPolynomial.{u2, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u2} A σ _inst_3)) (CommSemiring.toSemiring.{u4} B _inst_4) (MvPolynomial.algebra.{u1, u3, u2} R A σ _inst_1 _inst_3 _inst_5) _inst_6) (fun (_x : AlgHom.{u1, max u2 u3, u4} R (MvPolynomial.{u2, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u2} A σ _inst_3)) (CommSemiring.toSemiring.{u4} B _inst_4) (MvPolynomial.algebra.{u1, u3, u2} R A σ _inst_1 _inst_3 _inst_5) _inst_6) => (MvPolynomial.{u2, u3} σ A _inst_3) -> B) ([anonymous].{u1, max u2 u3, u4} R (MvPolynomial.{u2, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u2} A σ _inst_3)) (CommSemiring.toSemiring.{u4} B _inst_4) (MvPolynomial.algebra.{u1, u3, u2} R A σ _inst_1 _inst_3 _inst_5) _inst_6) f (MvPolynomial.X.{u3, u2} A σ _inst_3 i)) (coeFn.{max (succ (max u2 u3)) (succ u4), max (succ (max u2 u3)) (succ u4)} (AlgHom.{u1, max u2 u3, u4} R (MvPolynomial.{u2, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u2} A σ _inst_3)) (CommSemiring.toSemiring.{u4} B _inst_4) (MvPolynomial.algebra.{u1, u3, u2} R A σ _inst_1 _inst_3 _inst_5) _inst_6) (fun (_x : AlgHom.{u1, max u2 u3, u4} R (MvPolynomial.{u2, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u2} A σ _inst_3)) (CommSemiring.toSemiring.{u4} B _inst_4) (MvPolynomial.algebra.{u1, u3, u2} R A σ _inst_1 _inst_3 _inst_5) _inst_6) => (MvPolynomial.{u2, u3} σ A _inst_3) -> B) ([anonymous].{u1, max u2 u3, u4} R (MvPolynomial.{u2, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u2} A σ _inst_3)) (CommSemiring.toSemiring.{u4} B _inst_4) (MvPolynomial.algebra.{u1, u3, u2} R A σ _inst_1 _inst_3 _inst_5) _inst_6) g (MvPolynomial.X.{u3, u2} A σ _inst_3 i))) -> (Eq.{max (succ (max u2 u3)) (succ u4)} (AlgHom.{u1, max u2 u3, u4} R (MvPolynomial.{u2, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u2} A σ _inst_3)) (CommSemiring.toSemiring.{u4} B _inst_4) (MvPolynomial.algebra.{u1, u3, u2} R A σ _inst_1 _inst_3 _inst_5) _inst_6) f g)
 but is expected to have type
-  forall {R : Type.{u4}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u4} R] {A : Type.{u3}} {B : Type.{u2}} [_inst_3 : CommSemiring.{u3} A] [_inst_4 : CommSemiring.{u2} B] [_inst_5 : Algebra.{u4, u3} R A _inst_1 (CommSemiring.toSemiring.{u3} A _inst_3)] [_inst_6 : Algebra.{u4, u2} R B _inst_1 (CommSemiring.toSemiring.{u2} B _inst_4)] {f : AlgHom.{u4, max u3 u1, u2} R (MvPolynomial.{u1, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) (CommSemiring.toSemiring.{u2} B _inst_4) (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5) _inst_6} {g : AlgHom.{u4, max u3 u1, u2} R (MvPolynomial.{u1, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) (CommSemiring.toSemiring.{u2} B _inst_4) (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5) _inst_6}, (Eq.{max (succ u3) (succ u2)} (AlgHom.{u4, u3, u2} R A B _inst_1 (CommSemiring.toSemiring.{u3} A _inst_3) (CommSemiring.toSemiring.{u2} B _inst_4) _inst_5 _inst_6) (AlgHom.comp.{u4, u3, max u1 u3, u2} R A (MvPolynomial.{u1, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{u3} A _inst_3) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) (CommSemiring.toSemiring.{u2} B _inst_4) _inst_5 (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5) _inst_6 f (IsScalarTower.toAlgHom.{u4, u3, max u3 u1} R A (MvPolynomial.{u1, u3} σ A _inst_3) _inst_1 _inst_3 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) _inst_5 (MvPolynomial.algebra.{u3, u3, u1} A A σ _inst_3 _inst_3 (Algebra.id.{u3} A _inst_3)) (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5) (MvPolynomial.isScalarTower.{u4, u3, u3, u1} R A A σ _inst_3 (Algebra.toSMul.{u4, u3} R A _inst_1 (CommSemiring.toSemiring.{u3} A _inst_3) _inst_5) (SMulWithZero.toSMulZeroClass.{u4, u3} R A (CommMonoidWithZero.toZero.{u4} R (CommSemiring.toCommMonoidWithZero.{u4} R _inst_1)) (MonoidWithZero.toZero.{u3} A (Semiring.toMonoidWithZero.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3))) (MulActionWithZero.toSMulWithZero.{u4, u3} R A (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (MonoidWithZero.toZero.{u3} A (Semiring.toMonoidWithZero.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3))) (Module.toMulActionWithZero.{u4, u3} R A (CommSemiring.toSemiring.{u4} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3)))) (Algebra.toModule.{u4, u3} R A _inst_1 (CommSemiring.toSemiring.{u3} A _inst_3) _inst_5)))) (SMulWithZero.toSMulZeroClass.{u3, u3} A A (CommMonoidWithZero.toZero.{u3} A (CommSemiring.toCommMonoidWithZero.{u3} A _inst_3)) (MonoidWithZero.toZero.{u3} A (Semiring.toMonoidWithZero.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3))) (MulActionWithZero.toSMulWithZero.{u3, u3} A A (Semiring.toMonoidWithZero.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3)) (MonoidWithZero.toZero.{u3} A (Semiring.toMonoidWithZero.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3))) (Module.toMulActionWithZero.{u3, u3} A A (CommSemiring.toSemiring.{u3} A _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3)))) (Algebra.toModule.{u3, u3} A A _inst_3 (CommSemiring.toSemiring.{u3} A _inst_3) (Algebra.id.{u3} A _inst_3))))) (IsScalarTower.right.{u4, u3} R A _inst_1 (CommSemiring.toSemiring.{u3} A _inst_3) _inst_5)))) (AlgHom.comp.{u4, u3, max u1 u3, u2} R A (MvPolynomial.{u1, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{u3} A _inst_3) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) (CommSemiring.toSemiring.{u2} B _inst_4) _inst_5 (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5) _inst_6 g (IsScalarTower.toAlgHom.{u4, u3, max u3 u1} R A (MvPolynomial.{u1, u3} σ A _inst_3) _inst_1 _inst_3 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) _inst_5 (MvPolynomial.algebra.{u3, u3, u1} A A σ _inst_3 _inst_3 (Algebra.id.{u3} A _inst_3)) (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5) (MvPolynomial.isScalarTower.{u4, u3, u3, u1} R A A σ _inst_3 (Algebra.toSMul.{u4, u3} R A _inst_1 (CommSemiring.toSemiring.{u3} A _inst_3) _inst_5) (SMulWithZero.toSMulZeroClass.{u4, u3} R A (CommMonoidWithZero.toZero.{u4} R (CommSemiring.toCommMonoidWithZero.{u4} R _inst_1)) (MonoidWithZero.toZero.{u3} A (Semiring.toMonoidWithZero.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3))) (MulActionWithZero.toSMulWithZero.{u4, u3} R A (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (MonoidWithZero.toZero.{u3} A (Semiring.toMonoidWithZero.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3))) (Module.toMulActionWithZero.{u4, u3} R A (CommSemiring.toSemiring.{u4} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3)))) (Algebra.toModule.{u4, u3} R A _inst_1 (CommSemiring.toSemiring.{u3} A _inst_3) _inst_5)))) (SMulWithZero.toSMulZeroClass.{u3, u3} A A (CommMonoidWithZero.toZero.{u3} A (CommSemiring.toCommMonoidWithZero.{u3} A _inst_3)) (MonoidWithZero.toZero.{u3} A (Semiring.toMonoidWithZero.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3))) (MulActionWithZero.toSMulWithZero.{u3, u3} A A (Semiring.toMonoidWithZero.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3)) (MonoidWithZero.toZero.{u3} A (Semiring.toMonoidWithZero.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3))) (Module.toMulActionWithZero.{u3, u3} A A (CommSemiring.toSemiring.{u3} A _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3)))) (Algebra.toModule.{u3, u3} A A _inst_3 (CommSemiring.toSemiring.{u3} A _inst_3) (Algebra.id.{u3} A _inst_3))))) (IsScalarTower.right.{u4, u3} R A _inst_1 (CommSemiring.toSemiring.{u3} A _inst_3) _inst_5))))) -> (forall (i : σ), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u1, u3} σ A _inst_3) => B) (MvPolynomial.X.{u3, u1} A σ _inst_3 i)) (FunLike.coe.{max (max (succ u1) (succ u3)) (succ u2), max (succ u1) (succ u3), succ u2} (AlgHom.{u4, max u3 u1, u2} R (MvPolynomial.{u1, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) (CommSemiring.toSemiring.{u2} B _inst_4) (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5) _inst_6) (MvPolynomial.{u1, u3} σ A _inst_3) (fun (_x : MvPolynomial.{u1, u3} σ A _inst_3) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u1, u3} σ A _inst_3) => B) _x) (SMulHomClass.toFunLike.{max (max u1 u3) u2, u4, max u1 u3, u2} (AlgHom.{u4, max u3 u1, u2} R (MvPolynomial.{u1, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) (CommSemiring.toSemiring.{u2} B _inst_4) (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5) _inst_6) R (MvPolynomial.{u1, u3} σ A _inst_3) B (SMulZeroClass.toSMul.{u4, max u1 u3} R (MvPolynomial.{u1, u3} σ A _inst_3) (AddMonoid.toZero.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (AddCommMonoid.toAddMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3))))))) (DistribSMul.toSMulZeroClass.{u4, max u1 u3} R (MvPolynomial.{u1, u3} σ A _inst_3) (AddMonoid.toAddZeroClass.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (AddCommMonoid.toAddMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3))))))) (DistribMulAction.toDistribSMul.{u4, max u1 u3} R (MvPolynomial.{u1, u3} σ A _inst_3) (MonoidWithZero.toMonoid.{u4} R (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)))))) (Module.toDistribMulAction.{u4, max u1 u3} R (MvPolynomial.{u1, u3} σ A _inst_3) (CommSemiring.toSemiring.{u4} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3))))) (Algebra.toModule.{u4, max u1 u3} R (MvPolynomial.{u1, u3} σ A _inst_3) _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5)))))) (SMulZeroClass.toSMul.{u4, u2} R B (AddMonoid.toZero.{u2} B (AddCommMonoid.toAddMonoid.{u2} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_4)))))) (DistribSMul.toSMulZeroClass.{u4, u2} R B (AddMonoid.toAddZeroClass.{u2} B (AddCommMonoid.toAddMonoid.{u2} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_4)))))) (DistribMulAction.toDistribSMul.{u4, u2} R B (MonoidWithZero.toMonoid.{u4} R (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (AddCommMonoid.toAddMonoid.{u2} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_4))))) (Module.toDistribMulAction.{u4, u2} R B (CommSemiring.toSemiring.{u4} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_4)))) (Algebra.toModule.{u4, u2} R B _inst_1 (CommSemiring.toSemiring.{u2} B _inst_4) _inst_6))))) (DistribMulActionHomClass.toSMulHomClass.{max (max u1 u3) u2, u4, max u1 u3, u2} (AlgHom.{u4, max u3 u1, u2} R (MvPolynomial.{u1, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) (CommSemiring.toSemiring.{u2} B _inst_4) (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5) _inst_6) R (MvPolynomial.{u1, u3} σ A _inst_3) B (MonoidWithZero.toMonoid.{u4} R (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)))))) (AddCommMonoid.toAddMonoid.{u2} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_4))))) (Module.toDistribMulAction.{u4, max u1 u3} R (MvPolynomial.{u1, u3} σ A _inst_3) (CommSemiring.toSemiring.{u4} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3))))) (Algebra.toModule.{u4, max u1 u3} R (MvPolynomial.{u1, u3} σ A _inst_3) _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5))) (Module.toDistribMulAction.{u4, u2} R B (CommSemiring.toSemiring.{u4} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_4)))) (Algebra.toModule.{u4, u2} R B _inst_1 (CommSemiring.toSemiring.{u2} B _inst_4) _inst_6)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max (max u1 u3) u2, u4, max u1 u3, u2} (AlgHom.{u4, max u3 u1, u2} R (MvPolynomial.{u1, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) (CommSemiring.toSemiring.{u2} B _inst_4) (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5) _inst_6) R (MvPolynomial.{u1, u3} σ A _inst_3) B (MonoidWithZero.toMonoid.{u4} R (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_4))) (Module.toDistribMulAction.{u4, max u1 u3} R (MvPolynomial.{u1, u3} σ A _inst_3) (CommSemiring.toSemiring.{u4} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3))))) (Algebra.toModule.{u4, max u1 u3} R (MvPolynomial.{u1, u3} σ A _inst_3) _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5))) (Module.toDistribMulAction.{u4, u2} R B (CommSemiring.toSemiring.{u4} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_4)))) (Algebra.toModule.{u4, u2} R B _inst_1 (CommSemiring.toSemiring.{u2} B _inst_4) _inst_6)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u4, max u1 u3, u2, max (max u1 u3) u2} R (MvPolynomial.{u1, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) (CommSemiring.toSemiring.{u2} B _inst_4) (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5) _inst_6 (AlgHom.{u4, max u3 u1, u2} R (MvPolynomial.{u1, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) (CommSemiring.toSemiring.{u2} B _inst_4) (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5) _inst_6) (AlgHom.algHomClass.{u4, max u1 u3, u2} R (MvPolynomial.{u1, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) (CommSemiring.toSemiring.{u2} B _inst_4) (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5) _inst_6))))) f (MvPolynomial.X.{u3, u1} A σ _inst_3 i)) (FunLike.coe.{max (max (succ u1) (succ u3)) (succ u2), max (succ u1) (succ u3), succ u2} (AlgHom.{u4, max u3 u1, u2} R (MvPolynomial.{u1, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) (CommSemiring.toSemiring.{u2} B _inst_4) (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5) _inst_6) (MvPolynomial.{u1, u3} σ A _inst_3) (fun (_x : MvPolynomial.{u1, u3} σ A _inst_3) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u1, u3} σ A _inst_3) => B) _x) (SMulHomClass.toFunLike.{max (max u1 u3) u2, u4, max u1 u3, u2} (AlgHom.{u4, max u3 u1, u2} R (MvPolynomial.{u1, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) (CommSemiring.toSemiring.{u2} B _inst_4) (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5) _inst_6) R (MvPolynomial.{u1, u3} σ A _inst_3) B (SMulZeroClass.toSMul.{u4, max u1 u3} R (MvPolynomial.{u1, u3} σ A _inst_3) (AddMonoid.toZero.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (AddCommMonoid.toAddMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3))))))) (DistribSMul.toSMulZeroClass.{u4, max u1 u3} R (MvPolynomial.{u1, u3} σ A _inst_3) (AddMonoid.toAddZeroClass.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (AddCommMonoid.toAddMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3))))))) (DistribMulAction.toDistribSMul.{u4, max u1 u3} R (MvPolynomial.{u1, u3} σ A _inst_3) (MonoidWithZero.toMonoid.{u4} R (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)))))) (Module.toDistribMulAction.{u4, max u1 u3} R (MvPolynomial.{u1, u3} σ A _inst_3) (CommSemiring.toSemiring.{u4} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3))))) (Algebra.toModule.{u4, max u1 u3} R (MvPolynomial.{u1, u3} σ A _inst_3) _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5)))))) (SMulZeroClass.toSMul.{u4, u2} R B (AddMonoid.toZero.{u2} B (AddCommMonoid.toAddMonoid.{u2} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_4)))))) (DistribSMul.toSMulZeroClass.{u4, u2} R B (AddMonoid.toAddZeroClass.{u2} B (AddCommMonoid.toAddMonoid.{u2} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_4)))))) (DistribMulAction.toDistribSMul.{u4, u2} R B (MonoidWithZero.toMonoid.{u4} R (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (AddCommMonoid.toAddMonoid.{u2} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_4))))) (Module.toDistribMulAction.{u4, u2} R B (CommSemiring.toSemiring.{u4} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_4)))) (Algebra.toModule.{u4, u2} R B _inst_1 (CommSemiring.toSemiring.{u2} B _inst_4) _inst_6))))) (DistribMulActionHomClass.toSMulHomClass.{max (max u1 u3) u2, u4, max u1 u3, u2} (AlgHom.{u4, max u3 u1, u2} R (MvPolynomial.{u1, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) (CommSemiring.toSemiring.{u2} B _inst_4) (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5) _inst_6) R (MvPolynomial.{u1, u3} σ A _inst_3) B (MonoidWithZero.toMonoid.{u4} R (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)))))) (AddCommMonoid.toAddMonoid.{u2} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_4))))) (Module.toDistribMulAction.{u4, max u1 u3} R (MvPolynomial.{u1, u3} σ A _inst_3) (CommSemiring.toSemiring.{u4} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3))))) (Algebra.toModule.{u4, max u1 u3} R (MvPolynomial.{u1, u3} σ A _inst_3) _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5))) (Module.toDistribMulAction.{u4, u2} R B (CommSemiring.toSemiring.{u4} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_4)))) (Algebra.toModule.{u4, u2} R B _inst_1 (CommSemiring.toSemiring.{u2} B _inst_4) _inst_6)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max (max u1 u3) u2, u4, max u1 u3, u2} (AlgHom.{u4, max u3 u1, u2} R (MvPolynomial.{u1, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) (CommSemiring.toSemiring.{u2} B _inst_4) (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5) _inst_6) R (MvPolynomial.{u1, u3} σ A _inst_3) B (MonoidWithZero.toMonoid.{u4} R (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_4))) (Module.toDistribMulAction.{u4, max u1 u3} R (MvPolynomial.{u1, u3} σ A _inst_3) (CommSemiring.toSemiring.{u4} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3))))) (Algebra.toModule.{u4, max u1 u3} R (MvPolynomial.{u1, u3} σ A _inst_3) _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5))) (Module.toDistribMulAction.{u4, u2} R B (CommSemiring.toSemiring.{u4} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_4)))) (Algebra.toModule.{u4, u2} R B _inst_1 (CommSemiring.toSemiring.{u2} B _inst_4) _inst_6)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u4, max u1 u3, u2, max (max u1 u3) u2} R (MvPolynomial.{u1, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) (CommSemiring.toSemiring.{u2} B _inst_4) (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5) _inst_6 (AlgHom.{u4, max u3 u1, u2} R (MvPolynomial.{u1, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) (CommSemiring.toSemiring.{u2} B _inst_4) (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5) _inst_6) (AlgHom.algHomClass.{u4, max u1 u3, u2} R (MvPolynomial.{u1, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) (CommSemiring.toSemiring.{u2} B _inst_4) (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5) _inst_6))))) g (MvPolynomial.X.{u3, u1} A σ _inst_3 i))) -> (Eq.{max (max (succ u1) (succ u3)) (succ u2)} (AlgHom.{u4, max u3 u1, u2} R (MvPolynomial.{u1, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) (CommSemiring.toSemiring.{u2} B _inst_4) (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5) _inst_6) f g)
+  forall {R : Type.{u4}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u4} R] {A : Type.{u3}} {B : Type.{u2}} [_inst_3 : CommSemiring.{u3} A] [_inst_4 : CommSemiring.{u2} B] [_inst_5 : Algebra.{u4, u3} R A _inst_1 (CommSemiring.toSemiring.{u3} A _inst_3)] [_inst_6 : Algebra.{u4, u2} R B _inst_1 (CommSemiring.toSemiring.{u2} B _inst_4)] {f : AlgHom.{u4, max u3 u1, u2} R (MvPolynomial.{u1, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) (CommSemiring.toSemiring.{u2} B _inst_4) (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5) _inst_6} {g : AlgHom.{u4, max u3 u1, u2} R (MvPolynomial.{u1, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) (CommSemiring.toSemiring.{u2} B _inst_4) (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5) _inst_6}, (Eq.{max (succ u3) (succ u2)} (AlgHom.{u4, u3, u2} R A B _inst_1 (CommSemiring.toSemiring.{u3} A _inst_3) (CommSemiring.toSemiring.{u2} B _inst_4) _inst_5 _inst_6) (AlgHom.comp.{u4, u3, max u1 u3, u2} R A (MvPolynomial.{u1, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{u3} A _inst_3) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) (CommSemiring.toSemiring.{u2} B _inst_4) _inst_5 (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5) _inst_6 f (IsScalarTower.toAlgHom.{u4, u3, max u3 u1} R A (MvPolynomial.{u1, u3} σ A _inst_3) _inst_1 _inst_3 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) _inst_5 (MvPolynomial.algebra.{u3, u3, u1} A A σ _inst_3 _inst_3 (Algebra.id.{u3} A _inst_3)) (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5) (MvPolynomial.isScalarTower.{u4, u3, u3, u1} R A A σ _inst_3 (Algebra.toSMul.{u4, u3} R A _inst_1 (CommSemiring.toSemiring.{u3} A _inst_3) _inst_5) (SMulWithZero.toSMulZeroClass.{u4, u3} R A (CommMonoidWithZero.toZero.{u4} R (CommSemiring.toCommMonoidWithZero.{u4} R _inst_1)) (MonoidWithZero.toZero.{u3} A (Semiring.toMonoidWithZero.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3))) (MulActionWithZero.toSMulWithZero.{u4, u3} R A (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (MonoidWithZero.toZero.{u3} A (Semiring.toMonoidWithZero.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3))) (Module.toMulActionWithZero.{u4, u3} R A (CommSemiring.toSemiring.{u4} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3)))) (Algebra.toModule.{u4, u3} R A _inst_1 (CommSemiring.toSemiring.{u3} A _inst_3) _inst_5)))) (SMulWithZero.toSMulZeroClass.{u3, u3} A A (CommMonoidWithZero.toZero.{u3} A (CommSemiring.toCommMonoidWithZero.{u3} A _inst_3)) (MonoidWithZero.toZero.{u3} A (Semiring.toMonoidWithZero.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3))) (MulActionWithZero.toSMulWithZero.{u3, u3} A A (Semiring.toMonoidWithZero.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3)) (MonoidWithZero.toZero.{u3} A (Semiring.toMonoidWithZero.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3))) (Module.toMulActionWithZero.{u3, u3} A A (CommSemiring.toSemiring.{u3} A _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3)))) (Algebra.toModule.{u3, u3} A A _inst_3 (CommSemiring.toSemiring.{u3} A _inst_3) (Algebra.id.{u3} A _inst_3))))) (IsScalarTower.right.{u4, u3} R A _inst_1 (CommSemiring.toSemiring.{u3} A _inst_3) _inst_5)))) (AlgHom.comp.{u4, u3, max u1 u3, u2} R A (MvPolynomial.{u1, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{u3} A _inst_3) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) (CommSemiring.toSemiring.{u2} B _inst_4) _inst_5 (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5) _inst_6 g (IsScalarTower.toAlgHom.{u4, u3, max u3 u1} R A (MvPolynomial.{u1, u3} σ A _inst_3) _inst_1 _inst_3 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) _inst_5 (MvPolynomial.algebra.{u3, u3, u1} A A σ _inst_3 _inst_3 (Algebra.id.{u3} A _inst_3)) (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5) (MvPolynomial.isScalarTower.{u4, u3, u3, u1} R A A σ _inst_3 (Algebra.toSMul.{u4, u3} R A _inst_1 (CommSemiring.toSemiring.{u3} A _inst_3) _inst_5) (SMulWithZero.toSMulZeroClass.{u4, u3} R A (CommMonoidWithZero.toZero.{u4} R (CommSemiring.toCommMonoidWithZero.{u4} R _inst_1)) (MonoidWithZero.toZero.{u3} A (Semiring.toMonoidWithZero.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3))) (MulActionWithZero.toSMulWithZero.{u4, u3} R A (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (MonoidWithZero.toZero.{u3} A (Semiring.toMonoidWithZero.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3))) (Module.toMulActionWithZero.{u4, u3} R A (CommSemiring.toSemiring.{u4} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3)))) (Algebra.toModule.{u4, u3} R A _inst_1 (CommSemiring.toSemiring.{u3} A _inst_3) _inst_5)))) (SMulWithZero.toSMulZeroClass.{u3, u3} A A (CommMonoidWithZero.toZero.{u3} A (CommSemiring.toCommMonoidWithZero.{u3} A _inst_3)) (MonoidWithZero.toZero.{u3} A (Semiring.toMonoidWithZero.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3))) (MulActionWithZero.toSMulWithZero.{u3, u3} A A (Semiring.toMonoidWithZero.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3)) (MonoidWithZero.toZero.{u3} A (Semiring.toMonoidWithZero.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3))) (Module.toMulActionWithZero.{u3, u3} A A (CommSemiring.toSemiring.{u3} A _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3)))) (Algebra.toModule.{u3, u3} A A _inst_3 (CommSemiring.toSemiring.{u3} A _inst_3) (Algebra.id.{u3} A _inst_3))))) (IsScalarTower.right.{u4, u3} R A _inst_1 (CommSemiring.toSemiring.{u3} A _inst_3) _inst_5))))) -> (forall (i : σ), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : MvPolynomial.{u1, u3} σ A _inst_3) => B) (MvPolynomial.X.{u3, u1} A σ _inst_3 i)) (FunLike.coe.{max (max (succ u1) (succ u3)) (succ u2), max (succ u1) (succ u3), succ u2} (AlgHom.{u4, max u3 u1, u2} R (MvPolynomial.{u1, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) (CommSemiring.toSemiring.{u2} B _inst_4) (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5) _inst_6) (MvPolynomial.{u1, u3} σ A _inst_3) (fun (_x : MvPolynomial.{u1, u3} σ A _inst_3) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : MvPolynomial.{u1, u3} σ A _inst_3) => B) _x) (SMulHomClass.toFunLike.{max (max u1 u3) u2, u4, max u1 u3, u2} (AlgHom.{u4, max u3 u1, u2} R (MvPolynomial.{u1, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) (CommSemiring.toSemiring.{u2} B _inst_4) (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5) _inst_6) R (MvPolynomial.{u1, u3} σ A _inst_3) B (SMulZeroClass.toSMul.{u4, max u1 u3} R (MvPolynomial.{u1, u3} σ A _inst_3) (AddMonoid.toZero.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (AddCommMonoid.toAddMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3))))))) (DistribSMul.toSMulZeroClass.{u4, max u1 u3} R (MvPolynomial.{u1, u3} σ A _inst_3) (AddMonoid.toAddZeroClass.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (AddCommMonoid.toAddMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3))))))) (DistribMulAction.toDistribSMul.{u4, max u1 u3} R (MvPolynomial.{u1, u3} σ A _inst_3) (MonoidWithZero.toMonoid.{u4} R (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)))))) (Module.toDistribMulAction.{u4, max u1 u3} R (MvPolynomial.{u1, u3} σ A _inst_3) (CommSemiring.toSemiring.{u4} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3))))) (Algebra.toModule.{u4, max u1 u3} R (MvPolynomial.{u1, u3} σ A _inst_3) _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5)))))) (SMulZeroClass.toSMul.{u4, u2} R B (AddMonoid.toZero.{u2} B (AddCommMonoid.toAddMonoid.{u2} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_4)))))) (DistribSMul.toSMulZeroClass.{u4, u2} R B (AddMonoid.toAddZeroClass.{u2} B (AddCommMonoid.toAddMonoid.{u2} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_4)))))) (DistribMulAction.toDistribSMul.{u4, u2} R B (MonoidWithZero.toMonoid.{u4} R (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (AddCommMonoid.toAddMonoid.{u2} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_4))))) (Module.toDistribMulAction.{u4, u2} R B (CommSemiring.toSemiring.{u4} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_4)))) (Algebra.toModule.{u4, u2} R B _inst_1 (CommSemiring.toSemiring.{u2} B _inst_4) _inst_6))))) (DistribMulActionHomClass.toSMulHomClass.{max (max u1 u3) u2, u4, max u1 u3, u2} (AlgHom.{u4, max u3 u1, u2} R (MvPolynomial.{u1, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) (CommSemiring.toSemiring.{u2} B _inst_4) (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5) _inst_6) R (MvPolynomial.{u1, u3} σ A _inst_3) B (MonoidWithZero.toMonoid.{u4} R (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)))))) (AddCommMonoid.toAddMonoid.{u2} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_4))))) (Module.toDistribMulAction.{u4, max u1 u3} R (MvPolynomial.{u1, u3} σ A _inst_3) (CommSemiring.toSemiring.{u4} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3))))) (Algebra.toModule.{u4, max u1 u3} R (MvPolynomial.{u1, u3} σ A _inst_3) _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5))) (Module.toDistribMulAction.{u4, u2} R B (CommSemiring.toSemiring.{u4} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_4)))) (Algebra.toModule.{u4, u2} R B _inst_1 (CommSemiring.toSemiring.{u2} B _inst_4) _inst_6)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max (max u1 u3) u2, u4, max u1 u3, u2} (AlgHom.{u4, max u3 u1, u2} R (MvPolynomial.{u1, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) (CommSemiring.toSemiring.{u2} B _inst_4) (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5) _inst_6) R (MvPolynomial.{u1, u3} σ A _inst_3) B (MonoidWithZero.toMonoid.{u4} R (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_4))) (Module.toDistribMulAction.{u4, max u1 u3} R (MvPolynomial.{u1, u3} σ A _inst_3) (CommSemiring.toSemiring.{u4} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3))))) (Algebra.toModule.{u4, max u1 u3} R (MvPolynomial.{u1, u3} σ A _inst_3) _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5))) (Module.toDistribMulAction.{u4, u2} R B (CommSemiring.toSemiring.{u4} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_4)))) (Algebra.toModule.{u4, u2} R B _inst_1 (CommSemiring.toSemiring.{u2} B _inst_4) _inst_6)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u4, max u1 u3, u2, max (max u1 u3) u2} R (MvPolynomial.{u1, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) (CommSemiring.toSemiring.{u2} B _inst_4) (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5) _inst_6 (AlgHom.{u4, max u3 u1, u2} R (MvPolynomial.{u1, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) (CommSemiring.toSemiring.{u2} B _inst_4) (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5) _inst_6) (AlgHom.algHomClass.{u4, max u1 u3, u2} R (MvPolynomial.{u1, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) (CommSemiring.toSemiring.{u2} B _inst_4) (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5) _inst_6))))) f (MvPolynomial.X.{u3, u1} A σ _inst_3 i)) (FunLike.coe.{max (max (succ u1) (succ u3)) (succ u2), max (succ u1) (succ u3), succ u2} (AlgHom.{u4, max u3 u1, u2} R (MvPolynomial.{u1, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) (CommSemiring.toSemiring.{u2} B _inst_4) (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5) _inst_6) (MvPolynomial.{u1, u3} σ A _inst_3) (fun (_x : MvPolynomial.{u1, u3} σ A _inst_3) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : MvPolynomial.{u1, u3} σ A _inst_3) => B) _x) (SMulHomClass.toFunLike.{max (max u1 u3) u2, u4, max u1 u3, u2} (AlgHom.{u4, max u3 u1, u2} R (MvPolynomial.{u1, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) (CommSemiring.toSemiring.{u2} B _inst_4) (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5) _inst_6) R (MvPolynomial.{u1, u3} σ A _inst_3) B (SMulZeroClass.toSMul.{u4, max u1 u3} R (MvPolynomial.{u1, u3} σ A _inst_3) (AddMonoid.toZero.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (AddCommMonoid.toAddMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3))))))) (DistribSMul.toSMulZeroClass.{u4, max u1 u3} R (MvPolynomial.{u1, u3} σ A _inst_3) (AddMonoid.toAddZeroClass.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (AddCommMonoid.toAddMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3))))))) (DistribMulAction.toDistribSMul.{u4, max u1 u3} R (MvPolynomial.{u1, u3} σ A _inst_3) (MonoidWithZero.toMonoid.{u4} R (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)))))) (Module.toDistribMulAction.{u4, max u1 u3} R (MvPolynomial.{u1, u3} σ A _inst_3) (CommSemiring.toSemiring.{u4} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3))))) (Algebra.toModule.{u4, max u1 u3} R (MvPolynomial.{u1, u3} σ A _inst_3) _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5)))))) (SMulZeroClass.toSMul.{u4, u2} R B (AddMonoid.toZero.{u2} B (AddCommMonoid.toAddMonoid.{u2} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_4)))))) (DistribSMul.toSMulZeroClass.{u4, u2} R B (AddMonoid.toAddZeroClass.{u2} B (AddCommMonoid.toAddMonoid.{u2} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_4)))))) (DistribMulAction.toDistribSMul.{u4, u2} R B (MonoidWithZero.toMonoid.{u4} R (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (AddCommMonoid.toAddMonoid.{u2} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_4))))) (Module.toDistribMulAction.{u4, u2} R B (CommSemiring.toSemiring.{u4} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_4)))) (Algebra.toModule.{u4, u2} R B _inst_1 (CommSemiring.toSemiring.{u2} B _inst_4) _inst_6))))) (DistribMulActionHomClass.toSMulHomClass.{max (max u1 u3) u2, u4, max u1 u3, u2} (AlgHom.{u4, max u3 u1, u2} R (MvPolynomial.{u1, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) (CommSemiring.toSemiring.{u2} B _inst_4) (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5) _inst_6) R (MvPolynomial.{u1, u3} σ A _inst_3) B (MonoidWithZero.toMonoid.{u4} R (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)))))) (AddCommMonoid.toAddMonoid.{u2} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_4))))) (Module.toDistribMulAction.{u4, max u1 u3} R (MvPolynomial.{u1, u3} σ A _inst_3) (CommSemiring.toSemiring.{u4} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3))))) (Algebra.toModule.{u4, max u1 u3} R (MvPolynomial.{u1, u3} σ A _inst_3) _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5))) (Module.toDistribMulAction.{u4, u2} R B (CommSemiring.toSemiring.{u4} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_4)))) (Algebra.toModule.{u4, u2} R B _inst_1 (CommSemiring.toSemiring.{u2} B _inst_4) _inst_6)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max (max u1 u3) u2, u4, max u1 u3, u2} (AlgHom.{u4, max u3 u1, u2} R (MvPolynomial.{u1, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) (CommSemiring.toSemiring.{u2} B _inst_4) (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5) _inst_6) R (MvPolynomial.{u1, u3} σ A _inst_3) B (MonoidWithZero.toMonoid.{u4} R (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_4))) (Module.toDistribMulAction.{u4, max u1 u3} R (MvPolynomial.{u1, u3} σ A _inst_3) (CommSemiring.toSemiring.{u4} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3))))) (Algebra.toModule.{u4, max u1 u3} R (MvPolynomial.{u1, u3} σ A _inst_3) _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5))) (Module.toDistribMulAction.{u4, u2} R B (CommSemiring.toSemiring.{u4} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_4)))) (Algebra.toModule.{u4, u2} R B _inst_1 (CommSemiring.toSemiring.{u2} B _inst_4) _inst_6)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u4, max u1 u3, u2, max (max u1 u3) u2} R (MvPolynomial.{u1, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) (CommSemiring.toSemiring.{u2} B _inst_4) (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5) _inst_6 (AlgHom.{u4, max u3 u1, u2} R (MvPolynomial.{u1, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) (CommSemiring.toSemiring.{u2} B _inst_4) (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5) _inst_6) (AlgHom.algHomClass.{u4, max u1 u3, u2} R (MvPolynomial.{u1, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) (CommSemiring.toSemiring.{u2} B _inst_4) (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5) _inst_6))))) g (MvPolynomial.X.{u3, u1} A σ _inst_3 i))) -> (Eq.{max (max (succ u1) (succ u3)) (succ u2)} (AlgHom.{u4, max u3 u1, u2} R (MvPolynomial.{u1, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) (CommSemiring.toSemiring.{u2} B _inst_4) (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5) _inst_6) f g)
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.alg_hom_ext' MvPolynomial.algHom_ext'ₓ'. -/
 @[ext]
 theorem algHom_ext' {A B : Type _} [CommSemiring A] [CommSemiring B] [Algebra R A] [Algebra R B]
@@ -801,7 +801,7 @@ theorem algHom_ext' {A B : Type _} [CommSemiring A] [CommSemiring B] [Algebra R
 lean 3 declaration is
   forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {A : Type.{u3}} [_inst_3 : Semiring.{u3} A] [_inst_4 : Algebra.{u1, u3} R A _inst_1 _inst_3] {f : AlgHom.{u1, max u2 u1, u3} R (MvPolynomial.{u2, u1} σ R _inst_1) A _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) _inst_3 (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_4} {g : AlgHom.{u1, max u2 u1, u3} R (MvPolynomial.{u2, u1} σ R _inst_1) A _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) _inst_3 (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_4}, (forall (i : σ), Eq.{succ u3} A (coeFn.{max (succ (max u2 u1)) (succ u3), max (succ (max u2 u1)) (succ u3)} (AlgHom.{u1, max u2 u1, u3} R (MvPolynomial.{u2, u1} σ R _inst_1) A _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) _inst_3 (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_4) (fun (_x : AlgHom.{u1, max u2 u1, u3} R (MvPolynomial.{u2, u1} σ R _inst_1) A _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) _inst_3 (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_4) => (MvPolynomial.{u2, u1} σ R _inst_1) -> A) ([anonymous].{u1, max u2 u1, u3} R (MvPolynomial.{u2, u1} σ R _inst_1) A _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) _inst_3 (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_4) f (MvPolynomial.X.{u1, u2} R σ _inst_1 i)) (coeFn.{max (succ (max u2 u1)) (succ u3), max (succ (max u2 u1)) (succ u3)} (AlgHom.{u1, max u2 u1, u3} R (MvPolynomial.{u2, u1} σ R _inst_1) A _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) _inst_3 (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_4) (fun (_x : AlgHom.{u1, max u2 u1, u3} R (MvPolynomial.{u2, u1} σ R _inst_1) A _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) _inst_3 (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_4) => (MvPolynomial.{u2, u1} σ R _inst_1) -> A) ([anonymous].{u1, max u2 u1, u3} R (MvPolynomial.{u2, u1} σ R _inst_1) A _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) _inst_3 (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_4) g (MvPolynomial.X.{u1, u2} R σ _inst_1 i))) -> (Eq.{max (succ (max u2 u1)) (succ u3)} (AlgHom.{u1, max u2 u1, u3} R (MvPolynomial.{u2, u1} σ R _inst_1) A _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) _inst_3 (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_4) f g)
 but is expected to have type
-  forall {R : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u3} R] {A : Type.{u2}} [_inst_3 : Semiring.{u2} A] [_inst_4 : Algebra.{u3, u2} R A _inst_1 _inst_3] {f : AlgHom.{u3, max u3 u1, u2} R (MvPolynomial.{u1, u3} σ R _inst_1) A _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) _inst_3 (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_4} {g : AlgHom.{u3, max u3 u1, u2} R (MvPolynomial.{u1, u3} σ R _inst_1) A _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) _inst_3 (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_4}, (forall (i : σ), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u1, u3} σ R _inst_1) => A) (MvPolynomial.X.{u3, u1} R σ _inst_1 i)) (FunLike.coe.{max (max (succ u3) (succ u1)) (succ u2), max (succ u3) (succ u1), succ u2} (AlgHom.{u3, max u3 u1, u2} R (MvPolynomial.{u1, u3} σ R _inst_1) A _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) _inst_3 (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_4) (MvPolynomial.{u1, u3} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u3} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u1, u3} σ R _inst_1) => A) _x) (SMulHomClass.toFunLike.{max (max u3 u1) u2, u3, max u3 u1, u2} (AlgHom.{u3, max u3 u1, u2} R (MvPolynomial.{u1, u3} σ R _inst_1) A _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) _inst_3 (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_4) R (MvPolynomial.{u1, u3} σ R _inst_1) A (SMulZeroClass.toSMul.{u3, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) (AddMonoid.toZero.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))))) (DistribSMul.toSMulZeroClass.{u3, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))))) (DistribMulAction.toDistribSMul.{u3, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))))) (Module.toDistribMulAction.{u3, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Algebra.toModule.{u3, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1))))))) (SMulZeroClass.toSMul.{u3, u2} R A (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))))) (DistribSMul.toSMulZeroClass.{u3, u2} R A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))))) (DistribMulAction.toDistribSMul.{u3, u2} R A (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)))) (Module.toDistribMulAction.{u3, u2} R A (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (Algebra.toModule.{u3, u2} R A _inst_1 _inst_3 _inst_4))))) (DistribMulActionHomClass.toSMulHomClass.{max (max u3 u1) u2, u3, max u3 u1, u2} (AlgHom.{u3, max u3 u1, u2} R (MvPolynomial.{u1, u3} σ R _inst_1) A _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) _inst_3 (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_4) R (MvPolynomial.{u1, u3} σ R _inst_1) A (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))))) (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)))) (Module.toDistribMulAction.{u3, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Algebra.toModule.{u3, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)))) (Module.toDistribMulAction.{u3, u2} R A (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (Algebra.toModule.{u3, u2} R A _inst_1 _inst_3 _inst_4)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max (max u3 u1) u2, u3, max u3 u1, u2} (AlgHom.{u3, max u3 u1, u2} R (MvPolynomial.{u1, u3} σ R _inst_1) A _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) _inst_3 (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_4) R (MvPolynomial.{u1, u3} σ R _inst_1) A (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (Module.toDistribMulAction.{u3, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Algebra.toModule.{u3, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)))) (Module.toDistribMulAction.{u3, u2} R A (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (Algebra.toModule.{u3, u2} R A _inst_1 _inst_3 _inst_4)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u3, max u3 u1, u2, max (max u3 u1) u2} R (MvPolynomial.{u1, u3} σ R _inst_1) A _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) _inst_3 (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_4 (AlgHom.{u3, max u3 u1, u2} R (MvPolynomial.{u1, u3} σ R _inst_1) A _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) _inst_3 (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_4) (AlgHom.algHomClass.{u3, max u3 u1, u2} R (MvPolynomial.{u1, u3} σ R _inst_1) A _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) _inst_3 (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_4))))) f (MvPolynomial.X.{u3, u1} R σ _inst_1 i)) (FunLike.coe.{max (max (succ u3) (succ u1)) (succ u2), max (succ u3) (succ u1), succ u2} (AlgHom.{u3, max u3 u1, u2} R (MvPolynomial.{u1, u3} σ R _inst_1) A _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) _inst_3 (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_4) (MvPolynomial.{u1, u3} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u3} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u1, u3} σ R _inst_1) => A) _x) (SMulHomClass.toFunLike.{max (max u3 u1) u2, u3, max u3 u1, u2} (AlgHom.{u3, max u3 u1, u2} R (MvPolynomial.{u1, u3} σ R _inst_1) A _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) _inst_3 (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_4) R (MvPolynomial.{u1, u3} σ R _inst_1) A (SMulZeroClass.toSMul.{u3, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) (AddMonoid.toZero.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))))) (DistribSMul.toSMulZeroClass.{u3, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))))) (DistribMulAction.toDistribSMul.{u3, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))))) (Module.toDistribMulAction.{u3, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Algebra.toModule.{u3, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1))))))) (SMulZeroClass.toSMul.{u3, u2} R A (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))))) (DistribSMul.toSMulZeroClass.{u3, u2} R A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))))) (DistribMulAction.toDistribSMul.{u3, u2} R A (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)))) (Module.toDistribMulAction.{u3, u2} R A (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (Algebra.toModule.{u3, u2} R A _inst_1 _inst_3 _inst_4))))) (DistribMulActionHomClass.toSMulHomClass.{max (max u3 u1) u2, u3, max u3 u1, u2} (AlgHom.{u3, max u3 u1, u2} R (MvPolynomial.{u1, u3} σ R _inst_1) A _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) _inst_3 (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_4) R (MvPolynomial.{u1, u3} σ R _inst_1) A (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))))) (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)))) (Module.toDistribMulAction.{u3, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Algebra.toModule.{u3, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)))) (Module.toDistribMulAction.{u3, u2} R A (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (Algebra.toModule.{u3, u2} R A _inst_1 _inst_3 _inst_4)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max (max u3 u1) u2, u3, max u3 u1, u2} (AlgHom.{u3, max u3 u1, u2} R (MvPolynomial.{u1, u3} σ R _inst_1) A _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) _inst_3 (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_4) R (MvPolynomial.{u1, u3} σ R _inst_1) A (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (Module.toDistribMulAction.{u3, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Algebra.toModule.{u3, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)))) (Module.toDistribMulAction.{u3, u2} R A (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (Algebra.toModule.{u3, u2} R A _inst_1 _inst_3 _inst_4)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u3, max u3 u1, u2, max (max u3 u1) u2} R (MvPolynomial.{u1, u3} σ R _inst_1) A _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) _inst_3 (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_4 (AlgHom.{u3, max u3 u1, u2} R (MvPolynomial.{u1, u3} σ R _inst_1) A _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) _inst_3 (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_4) (AlgHom.algHomClass.{u3, max u3 u1, u2} R (MvPolynomial.{u1, u3} σ R _inst_1) A _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) _inst_3 (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_4))))) g (MvPolynomial.X.{u3, u1} R σ _inst_1 i))) -> (Eq.{max (max (succ u3) (succ u1)) (succ u2)} (AlgHom.{u3, max u3 u1, u2} R (MvPolynomial.{u1, u3} σ R _inst_1) A _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) _inst_3 (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_4) f g)
+  forall {R : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u3} R] {A : Type.{u2}} [_inst_3 : Semiring.{u2} A] [_inst_4 : Algebra.{u3, u2} R A _inst_1 _inst_3] {f : AlgHom.{u3, max u3 u1, u2} R (MvPolynomial.{u1, u3} σ R _inst_1) A _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) _inst_3 (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_4} {g : AlgHom.{u3, max u3 u1, u2} R (MvPolynomial.{u1, u3} σ R _inst_1) A _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) _inst_3 (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_4}, (forall (i : σ), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : MvPolynomial.{u1, u3} σ R _inst_1) => A) (MvPolynomial.X.{u3, u1} R σ _inst_1 i)) (FunLike.coe.{max (max (succ u3) (succ u1)) (succ u2), max (succ u3) (succ u1), succ u2} (AlgHom.{u3, max u3 u1, u2} R (MvPolynomial.{u1, u3} σ R _inst_1) A _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) _inst_3 (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_4) (MvPolynomial.{u1, u3} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u3} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : MvPolynomial.{u1, u3} σ R _inst_1) => A) _x) (SMulHomClass.toFunLike.{max (max u3 u1) u2, u3, max u3 u1, u2} (AlgHom.{u3, max u3 u1, u2} R (MvPolynomial.{u1, u3} σ R _inst_1) A _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) _inst_3 (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_4) R (MvPolynomial.{u1, u3} σ R _inst_1) A (SMulZeroClass.toSMul.{u3, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) (AddMonoid.toZero.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))))) (DistribSMul.toSMulZeroClass.{u3, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))))) (DistribMulAction.toDistribSMul.{u3, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))))) (Module.toDistribMulAction.{u3, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Algebra.toModule.{u3, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1))))))) (SMulZeroClass.toSMul.{u3, u2} R A (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))))) (DistribSMul.toSMulZeroClass.{u3, u2} R A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))))) (DistribMulAction.toDistribSMul.{u3, u2} R A (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)))) (Module.toDistribMulAction.{u3, u2} R A (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (Algebra.toModule.{u3, u2} R A _inst_1 _inst_3 _inst_4))))) (DistribMulActionHomClass.toSMulHomClass.{max (max u3 u1) u2, u3, max u3 u1, u2} (AlgHom.{u3, max u3 u1, u2} R (MvPolynomial.{u1, u3} σ R _inst_1) A _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) _inst_3 (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_4) R (MvPolynomial.{u1, u3} σ R _inst_1) A (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))))) (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)))) (Module.toDistribMulAction.{u3, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Algebra.toModule.{u3, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)))) (Module.toDistribMulAction.{u3, u2} R A (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (Algebra.toModule.{u3, u2} R A _inst_1 _inst_3 _inst_4)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max (max u3 u1) u2, u3, max u3 u1, u2} (AlgHom.{u3, max u3 u1, u2} R (MvPolynomial.{u1, u3} σ R _inst_1) A _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) _inst_3 (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_4) R (MvPolynomial.{u1, u3} σ R _inst_1) A (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (Module.toDistribMulAction.{u3, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Algebra.toModule.{u3, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)))) (Module.toDistribMulAction.{u3, u2} R A (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (Algebra.toModule.{u3, u2} R A _inst_1 _inst_3 _inst_4)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u3, max u3 u1, u2, max (max u3 u1) u2} R (MvPolynomial.{u1, u3} σ R _inst_1) A _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) _inst_3 (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_4 (AlgHom.{u3, max u3 u1, u2} R (MvPolynomial.{u1, u3} σ R _inst_1) A _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) _inst_3 (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_4) (AlgHom.algHomClass.{u3, max u3 u1, u2} R (MvPolynomial.{u1, u3} σ R _inst_1) A _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) _inst_3 (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_4))))) f (MvPolynomial.X.{u3, u1} R σ _inst_1 i)) (FunLike.coe.{max (max (succ u3) (succ u1)) (succ u2), max (succ u3) (succ u1), succ u2} (AlgHom.{u3, max u3 u1, u2} R (MvPolynomial.{u1, u3} σ R _inst_1) A _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) _inst_3 (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_4) (MvPolynomial.{u1, u3} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u3} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : MvPolynomial.{u1, u3} σ R _inst_1) => A) _x) (SMulHomClass.toFunLike.{max (max u3 u1) u2, u3, max u3 u1, u2} (AlgHom.{u3, max u3 u1, u2} R (MvPolynomial.{u1, u3} σ R _inst_1) A _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) _inst_3 (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_4) R (MvPolynomial.{u1, u3} σ R _inst_1) A (SMulZeroClass.toSMul.{u3, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) (AddMonoid.toZero.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))))) (DistribSMul.toSMulZeroClass.{u3, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))))) (DistribMulAction.toDistribSMul.{u3, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))))) (Module.toDistribMulAction.{u3, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Algebra.toModule.{u3, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1))))))) (SMulZeroClass.toSMul.{u3, u2} R A (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))))) (DistribSMul.toSMulZeroClass.{u3, u2} R A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))))) (DistribMulAction.toDistribSMul.{u3, u2} R A (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)))) (Module.toDistribMulAction.{u3, u2} R A (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (Algebra.toModule.{u3, u2} R A _inst_1 _inst_3 _inst_4))))) (DistribMulActionHomClass.toSMulHomClass.{max (max u3 u1) u2, u3, max u3 u1, u2} (AlgHom.{u3, max u3 u1, u2} R (MvPolynomial.{u1, u3} σ R _inst_1) A _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) _inst_3 (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_4) R (MvPolynomial.{u1, u3} σ R _inst_1) A (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))))) (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)))) (Module.toDistribMulAction.{u3, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Algebra.toModule.{u3, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)))) (Module.toDistribMulAction.{u3, u2} R A (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (Algebra.toModule.{u3, u2} R A _inst_1 _inst_3 _inst_4)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max (max u3 u1) u2, u3, max u3 u1, u2} (AlgHom.{u3, max u3 u1, u2} R (MvPolynomial.{u1, u3} σ R _inst_1) A _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) _inst_3 (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_4) R (MvPolynomial.{u1, u3} σ R _inst_1) A (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (Module.toDistribMulAction.{u3, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Algebra.toModule.{u3, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)))) (Module.toDistribMulAction.{u3, u2} R A (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (Algebra.toModule.{u3, u2} R A _inst_1 _inst_3 _inst_4)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u3, max u3 u1, u2, max (max u3 u1) u2} R (MvPolynomial.{u1, u3} σ R _inst_1) A _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) _inst_3 (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_4 (AlgHom.{u3, max u3 u1, u2} R (MvPolynomial.{u1, u3} σ R _inst_1) A _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) _inst_3 (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_4) (AlgHom.algHomClass.{u3, max u3 u1, u2} R (MvPolynomial.{u1, u3} σ R _inst_1) A _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) _inst_3 (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_4))))) g (MvPolynomial.X.{u3, u1} R σ _inst_1 i))) -> (Eq.{max (max (succ u3) (succ u1)) (succ u2)} (AlgHom.{u3, max u3 u1, u2} R (MvPolynomial.{u1, u3} σ R _inst_1) A _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) _inst_3 (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_4) f g)
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.alg_hom_ext MvPolynomial.algHom_extₓ'. -/
 @[ext]
 theorem algHom_ext {A : Type _} [Semiring A] [Algebra R A] {f g : MvPolynomial σ R →ₐ[R] A}
@@ -813,7 +813,7 @@ theorem algHom_ext {A : Type _} [Semiring A] [Algebra R A] {f g : MvPolynomial 
 lean 3 declaration is
   forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] (f : AlgHom.{u1, max u2 u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1))) (r : R), Eq.{max (succ u2) (succ u1)} (MvPolynomial.{u2, u1} σ R _inst_1) (coeFn.{succ (max u2 u1), succ (max u2 u1)} (AlgHom.{u1, max u2 u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1))) (fun (_x : AlgHom.{u1, max u2 u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1))) => (MvPolynomial.{u2, u1} σ R _inst_1) -> (MvPolynomial.{u2, u1} σ R _inst_1)) ([anonymous].{u1, max u2 u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1))) f (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (fun (_x : RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (MvPolynomial.C.{u1, u2} R σ _inst_1) r)) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (fun (_x : RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (MvPolynomial.C.{u1, u2} R σ _inst_1) r)
 but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] (f : AlgHom.{u2, max u2 u1, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) (r : R), Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u2} σ R _inst_1) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (a : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) r)) (FunLike.coe.{max (succ u2) (succ u1), max (succ u2) (succ u1), max (succ u2) (succ u1)} (AlgHom.{u2, max u2 u1, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (SMulHomClass.toFunLike.{max u2 u1, u2, max u2 u1, max u2 u1} (AlgHom.{u2, max u2 u1, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (SMulZeroClass.toSMul.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (AddMonoid.toZero.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (DistribSMul.toSMulZeroClass.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (DistribMulAction.toDistribSMul.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (Module.toDistribMulAction.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))))))) (SMulZeroClass.toSMul.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (AddMonoid.toZero.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (DistribSMul.toSMulZeroClass.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (DistribMulAction.toDistribSMul.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (Module.toDistribMulAction.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))))))) (DistribMulActionHomClass.toSMulHomClass.{max u2 u1, u2, max u2 u1, max u2 u1} (AlgHom.{u2, max u2 u1, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (AddCommMonoid.toAddMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (Module.toDistribMulAction.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (Module.toDistribMulAction.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max u2 u1, u2, max u2 u1, max u2 u1} (AlgHom.{u2, max u2 u1, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (Module.toDistribMulAction.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (Module.toDistribMulAction.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u2, max u2 u1, max u2 u1, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (AlgHom.{u2, max u2 u1, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) (AlgHom.algHomClass.{u2, max u2 u1, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))))))) f (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) r)) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) r)
+  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] (f : AlgHom.{u2, max u2 u1, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) (r : R), Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u2} σ R _inst_1) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (a : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) r)) (FunLike.coe.{max (succ u2) (succ u1), max (succ u2) (succ u1), max (succ u2) (succ u1)} (AlgHom.{u2, max u2 u1, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (SMulHomClass.toFunLike.{max u2 u1, u2, max u2 u1, max u2 u1} (AlgHom.{u2, max u2 u1, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (SMulZeroClass.toSMul.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (AddMonoid.toZero.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (DistribSMul.toSMulZeroClass.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (DistribMulAction.toDistribSMul.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (Module.toDistribMulAction.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))))))) (SMulZeroClass.toSMul.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (AddMonoid.toZero.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (DistribSMul.toSMulZeroClass.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (DistribMulAction.toDistribSMul.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (Module.toDistribMulAction.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))))))) (DistribMulActionHomClass.toSMulHomClass.{max u2 u1, u2, max u2 u1, max u2 u1} (AlgHom.{u2, max u2 u1, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (AddCommMonoid.toAddMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (Module.toDistribMulAction.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (Module.toDistribMulAction.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max u2 u1, u2, max u2 u1, max u2 u1} (AlgHom.{u2, max u2 u1, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (Module.toDistribMulAction.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (Module.toDistribMulAction.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u2, max u2 u1, max u2 u1, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (AlgHom.{u2, max u2 u1, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) (AlgHom.algHomClass.{u2, max u2 u1, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))))))) f (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) r)) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) r)
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.alg_hom_C MvPolynomial.algHom_Cₓ'. -/
 @[simp]
 theorem algHom_C (f : MvPolynomial σ R →ₐ[R] MvPolynomial σ R) (r : R) : f (C r) = C r :=
@@ -873,7 +873,7 @@ theorem finsupp_support_eq_support (p : MvPolynomial σ R) : Finsupp.support p =
 lean 3 declaration is
   forall {R : Type.{u1}} {σ : Type.{u2}} {a : R} {s : Finsupp.{u2, 0} σ Nat Nat.hasZero} [_inst_1 : CommSemiring.{u1} R] [_inst_3 : Decidable (Eq.{succ u1} R a (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))))))], Eq.{succ u2} (Finset.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (MvPolynomial.support.{u1, u2} R σ _inst_1 (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 s) a)) (ite.{succ u2} (Finset.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (Eq.{succ u1} R a (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))))))) _inst_3 (EmptyCollection.emptyCollection.{u2} (Finset.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (Finset.hasEmptyc.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero))) (Singleton.singleton.{u2, u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finset.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (Finset.hasSingleton.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) s))
 but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} {a : R} {s : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)} [_inst_1 : CommSemiring.{u2} R] [_inst_3 : Decidable (Eq.{succ u2} R a (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1)))))], Eq.{succ u1} (Finset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (MvPolynomial.support.{u2, u1} R σ _inst_1 (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s) a)) (ite.{succ u1} (Finset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (Eq.{succ u2} R a (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))))) _inst_3 (EmptyCollection.emptyCollection.{u1} (Finset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (Finset.instEmptyCollectionFinset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)))) (Singleton.singleton.{u1, u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (Finset.instSingletonFinset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) s))
+  forall {R : Type.{u2}} {σ : Type.{u1}} {a : R} {s : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)} [_inst_1 : CommSemiring.{u2} R] [_inst_3 : Decidable (Eq.{succ u2} R a (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1)))))], Eq.{succ u1} (Finset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (MvPolynomial.support.{u2, u1} R σ _inst_1 (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s) a)) (ite.{succ u1} (Finset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (Eq.{succ u2} R a (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))))) _inst_3 (EmptyCollection.emptyCollection.{u1} (Finset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (Finset.instEmptyCollectionFinset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)))) (Singleton.singleton.{u1, u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (Finset.instSingletonFinset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) s))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.support_monomial MvPolynomial.support_monomialₓ'. -/
 theorem support_monomial [Decidable (a = 0)] : (monomial s a).support = if a = 0 then ∅ else {s} :=
   by convert rfl
@@ -883,7 +883,7 @@ theorem support_monomial [Decidable (a = 0)] : (monomial s a).support = if a = 0
 lean 3 declaration is
   forall {R : Type.{u1}} {σ : Type.{u2}} {a : R} {s : Finsupp.{u2, 0} σ Nat Nat.hasZero} [_inst_1 : CommSemiring.{u1} R], HasSubset.Subset.{u2} (Finset.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (Finset.hasSubset.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (MvPolynomial.support.{u1, u2} R σ _inst_1 (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 s) a)) (Singleton.singleton.{u2, u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finset.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (Finset.hasSingleton.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) s)
 but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} {a : R} {s : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)} [_inst_1 : CommSemiring.{u2} R], HasSubset.Subset.{u1} (Finset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (Finset.instHasSubsetFinset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (MvPolynomial.support.{u2, u1} R σ _inst_1 (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s) a)) (Singleton.singleton.{u1, u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (Finset.instSingletonFinset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) s)
+  forall {R : Type.{u2}} {σ : Type.{u1}} {a : R} {s : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)} [_inst_1 : CommSemiring.{u2} R], HasSubset.Subset.{u1} (Finset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (Finset.instHasSubsetFinset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (MvPolynomial.support.{u2, u1} R σ _inst_1 (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s) a)) (Singleton.singleton.{u1, u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (Finset.instSingletonFinset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) s)
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.support_monomial_subset MvPolynomial.support_monomial_subsetₓ'. -/
 theorem support_monomial_subset : (monomial s a).support ⊆ {s} :=
   support_single_subset
@@ -1098,7 +1098,7 @@ theorem coeff_sum {X : Type _} (s : Finset X) (f : X → MvPolynomial σ R) (m :
 lean 3 declaration is
   forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] (m : Finsupp.{u2, 0} σ Nat Nat.hasZero), Eq.{max (succ u2) (succ u1)} (MvPolynomial.{u2, u1} σ R _inst_1) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 m) (OfNat.ofNat.{u1} R 1 (OfNat.mk.{u1} R 1 (One.one.{u1} R (AddMonoidWithOne.toOne.{u1} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} R (NonAssocSemiring.toAddCommMonoidWithOne.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))))))) (Finsupp.prod.{u2, 0, max u2 u1} σ Nat (MvPolynomial.{u2, u1} σ R _inst_1) Nat.hasZero (CommSemiring.toCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) m (fun (n : σ) (e : Nat) => HPow.hPow.{max u2 u1, 0, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) Nat (MvPolynomial.{u2, u1} σ R _inst_1) (instHPow.{max u2 u1, 0} (MvPolynomial.{u2, u1} σ R _inst_1) Nat (Monoid.Pow.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MonoidWithZero.toMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toMonoidWithZero.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))))) (MvPolynomial.X.{u1, u2} R σ _inst_1 n) e))
 but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] (m : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)), Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) (OfNat.ofNat.{u2} R 1 (One.toOfNat1.{u2} R (Semiring.toOne.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 m) (OfNat.ofNat.{u2} R 1 (One.toOfNat1.{u2} R (Semiring.toOne.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) (Finsupp.prod.{u1, 0, max u2 u1} σ Nat (MvPolynomial.{u1, u2} σ R _inst_1) (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) (CommSemiring.toCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) m (fun (n : σ) (e : Nat) => HPow.hPow.{max u1 u2, 0, max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) Nat (MvPolynomial.{u1, u2} σ R _inst_1) (instHPow.{max u1 u2, 0} (MvPolynomial.{u1, u2} σ R _inst_1) Nat (Monoid.Pow.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MonoidWithZero.toMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toMonoidWithZero.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (MvPolynomial.X.{u2, u1} R σ _inst_1 n) e))
+  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] (m : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)), Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) (OfNat.ofNat.{u2} R 1 (One.toOfNat1.{u2} R (Semiring.toOne.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 m) (OfNat.ofNat.{u2} R 1 (One.toOfNat1.{u2} R (Semiring.toOne.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) (Finsupp.prod.{u1, 0, max u2 u1} σ Nat (MvPolynomial.{u1, u2} σ R _inst_1) (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) (CommSemiring.toCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) m (fun (n : σ) (e : Nat) => HPow.hPow.{max u1 u2, 0, max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) Nat (MvPolynomial.{u1, u2} σ R _inst_1) (instHPow.{max u1 u2, 0} (MvPolynomial.{u1, u2} σ R _inst_1) Nat (Monoid.Pow.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MonoidWithZero.toMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toMonoidWithZero.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (MvPolynomial.X.{u2, u1} R σ _inst_1 n) e))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.monic_monomial_eq MvPolynomial.monic_monomial_eqₓ'. -/
 theorem monic_monomial_eq (m) :
     monomial m (1 : R) = (m.Prod fun n e => X n ^ e : MvPolynomial σ R) := by simp [monomial_eq]
@@ -1108,7 +1108,7 @@ theorem monic_monomial_eq (m) :
 lean 3 declaration is
   forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_3 : DecidableEq.{succ u2} σ] (m : Finsupp.{u2, 0} σ Nat Nat.hasZero) (n : Finsupp.{u2, 0} σ Nat Nat.hasZero) (a : R), Eq.{succ u1} R (MvPolynomial.coeff.{u1, u2} R σ _inst_1 m (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 n) a)) (ite.{succ u1} R (Eq.{succ u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) n m) (Finsupp.decidableEq.{u2, 0} σ Nat Nat.hasZero (fun (a : σ) (b : σ) => _inst_3 a b) (fun (a : Nat) (b : Nat) => Nat.decidableEq a b) n m) a (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))))))
 but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_3 : DecidableEq.{succ u1} σ] (m : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (n : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (a : R), Eq.{succ u2} R (MvPolynomial.coeff.{u2, u1} R σ _inst_1 m (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 n) a)) (ite.{succ u2} R (Eq.{succ u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) n m) (Finsupp.decidableEq.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) (fun (a : σ) (b : σ) => _inst_3 a b) (fun (a : Nat) (b : Nat) => instDecidableEqNat a b) n m) a (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1)))))
+  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_3 : DecidableEq.{succ u1} σ] (m : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (n : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (a : R), Eq.{succ u2} R (MvPolynomial.coeff.{u2, u1} R σ _inst_1 m (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 n) a)) (ite.{succ u2} R (Eq.{succ u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) n m) (Finsupp.decidableEq.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) (fun (a : σ) (b : σ) => _inst_3 a b) (fun (a : Nat) (b : Nat) => instDecidableEqNat a b) n m) a (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1)))))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.coeff_monomial MvPolynomial.coeff_monomialₓ'. -/
 @[simp]
 theorem coeff_monomial [DecidableEq σ] (m n) (a) :
@@ -1226,7 +1226,7 @@ theorem coeff_mul (p q : MvPolynomial σ R) (n : σ →₀ ℕ) :
 lean 3 declaration is
   forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] (m : Finsupp.{u2, 0} σ Nat Nat.hasZero) (s : Finsupp.{u2, 0} σ Nat Nat.hasZero) (r : R) (p : MvPolynomial.{u2, u1} σ R _inst_1), Eq.{succ u1} R (MvPolynomial.coeff.{u1, u2} R σ _inst_1 (HAdd.hAdd.{u2, u2, u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.{u2, 0} σ Nat Nat.hasZero) (instHAdd.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.add.{u2, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid))) m s) (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Distrib.toHasMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))) p (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 s) r))) (HMul.hMul.{u1, u1, u1} R R R (instHMul.{u1} R (Distrib.toHasMul.{u1} R (NonUnitalNonAssocSemiring.toDistrib.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))) (MvPolynomial.coeff.{u1, u2} R σ _inst_1 m p) r)
 but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] (m : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (s : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (r : R) (p : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{succ u2} R (MvPolynomial.coeff.{u2, u1} R σ _inst_1 (HAdd.hAdd.{u1, u1, u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (instHAdd.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.add.{u1, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid))) m s) (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) r) (MvPolynomial.{u1, u2} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) p (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s) r))) (HMul.hMul.{u2, u2, u2} R R R (instHMul.{u2} R (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) (MvPolynomial.coeff.{u2, u1} R σ _inst_1 m p) r)
+  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] (m : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (s : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (r : R) (p : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{succ u2} R (MvPolynomial.coeff.{u2, u1} R σ _inst_1 (HAdd.hAdd.{u1, u1, u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (instHAdd.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.add.{u1, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid))) m s) (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) r) (MvPolynomial.{u1, u2} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) p (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s) r))) (HMul.hMul.{u2, u2, u2} R R R (instHMul.{u2} R (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) (MvPolynomial.coeff.{u2, u1} R σ _inst_1 m p) r)
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.coeff_mul_monomial MvPolynomial.coeff_mul_monomialₓ'. -/
 @[simp]
 theorem coeff_mul_monomial (m) (s : σ →₀ ℕ) (r : R) (p : MvPolynomial σ R) :
@@ -1238,7 +1238,7 @@ theorem coeff_mul_monomial (m) (s : σ →₀ ℕ) (r : R) (p : MvPolynomial σ
 lean 3 declaration is
   forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] (m : Finsupp.{u2, 0} σ Nat Nat.hasZero) (s : Finsupp.{u2, 0} σ Nat Nat.hasZero) (r : R) (p : MvPolynomial.{u2, u1} σ R _inst_1), Eq.{succ u1} R (MvPolynomial.coeff.{u1, u2} R σ _inst_1 (HAdd.hAdd.{u2, u2, u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.{u2, 0} σ Nat Nat.hasZero) (instHAdd.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.add.{u2, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid))) s m) (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Distrib.toHasMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 s) r) p)) (HMul.hMul.{u1, u1, u1} R R R (instHMul.{u1} R (Distrib.toHasMul.{u1} R (NonUnitalNonAssocSemiring.toDistrib.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))) r (MvPolynomial.coeff.{u1, u2} R σ _inst_1 m p))
 but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] (m : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (s : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (r : R) (p : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{succ u2} R (MvPolynomial.coeff.{u2, u1} R σ _inst_1 (HAdd.hAdd.{u1, u1, u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (instHAdd.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.add.{u1, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid))) s m) (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) r) (MvPolynomial.{u1, u2} σ R _inst_1) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) r) (instHMul.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) r) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) r) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) r) (Semiring.toNonAssocSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) r) (CommSemiring.toSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) r) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s) r) p)) (HMul.hMul.{u2, u2, u2} R R R (instHMul.{u2} R (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) r (MvPolynomial.coeff.{u2, u1} R σ _inst_1 m p))
+  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] (m : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (s : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (r : R) (p : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{succ u2} R (MvPolynomial.coeff.{u2, u1} R σ _inst_1 (HAdd.hAdd.{u1, u1, u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (instHAdd.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.add.{u1, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid))) s m) (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) r) (MvPolynomial.{u1, u2} σ R _inst_1) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) r) (instHMul.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) r) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) r) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) r) (Semiring.toNonAssocSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) r) (CommSemiring.toSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) r) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s) r) p)) (HMul.hMul.{u2, u2, u2} R R R (instHMul.{u2} R (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) r (MvPolynomial.coeff.{u2, u1} R σ _inst_1 m p))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.coeff_monomial_mul MvPolynomial.coeff_monomial_mulₓ'. -/
 @[simp]
 theorem coeff_monomial_mul (m) (s : σ →₀ ℕ) (r : R) (p : MvPolynomial σ R) :
@@ -1340,7 +1340,7 @@ theorem support_symmDiff_support_subset_support_add [DecidableEq σ] (p q : MvPo
 lean 3 declaration is
   forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] (m : Finsupp.{u2, 0} σ Nat Nat.hasZero) (s : Finsupp.{u2, 0} σ Nat Nat.hasZero) (r : R) (p : MvPolynomial.{u2, u1} σ R _inst_1), Eq.{succ u1} R (MvPolynomial.coeff.{u1, u2} R σ _inst_1 m (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Distrib.toHasMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))) p (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 s) r))) (ite.{succ u1} R (LE.le.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.hasLe.{u2, 0} σ Nat Nat.hasZero Nat.hasLe) s m) (Finsupp.decidableLE.{u2, 0} σ Nat (CanonicallyOrderedCommSemiring.toCanonicallyOrderedAddMonoid.{0} Nat Nat.canonicallyOrderedCommSemiring) (fun (a : Nat) (b : Nat) => Nat.decidableLe a b) s m) (HMul.hMul.{u1, u1, u1} R R R (instHMul.{u1} R (Distrib.toHasMul.{u1} R (NonUnitalNonAssocSemiring.toDistrib.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))) (MvPolynomial.coeff.{u1, u2} R σ _inst_1 (HSub.hSub.{u2, u2, u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.{u2, 0} σ Nat Nat.hasZero) (instHSub.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.tsub.{u2, 0} σ Nat (CanonicallyOrderedCommSemiring.toCanonicallyOrderedAddMonoid.{0} Nat Nat.canonicallyOrderedCommSemiring) Nat.hasSub Nat.orderedSub)) m s) p) r) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))))))
 but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] (m : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (s : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (r : R) (p : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{succ u2} R (MvPolynomial.coeff.{u2, u1} R σ _inst_1 m (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) r) (MvPolynomial.{u1, u2} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) p (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s) r))) (ite.{succ u2} R (LE.le.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.instLEFinsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) instLENat) s m) (Finsupp.decidableLE.{u1, 0} σ Nat (CanonicallyOrderedCommSemiring.toCanonicallyOrderedAddMonoid.{0} Nat Nat.canonicallyOrderedCommSemiring) (fun (a : Nat) (b : Nat) => Nat.decLe a b) s m) (HMul.hMul.{u2, u2, u2} R R R (instHMul.{u2} R (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) (MvPolynomial.coeff.{u2, u1} R σ _inst_1 (HSub.hSub.{u1, u1, u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (instHSub.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.tsub.{u1, 0} σ Nat (CanonicallyOrderedCommSemiring.toCanonicallyOrderedAddMonoid.{0} Nat Nat.canonicallyOrderedCommSemiring) instSubNat Nat.instOrderedSubNatInstLENatInstAddNatInstSubNat)) m s) p) r) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1)))))
+  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] (m : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (s : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (r : R) (p : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{succ u2} R (MvPolynomial.coeff.{u2, u1} R σ _inst_1 m (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) r) (MvPolynomial.{u1, u2} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) p (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s) r))) (ite.{succ u2} R (LE.le.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.instLEFinsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) instLENat) s m) (Finsupp.decidableLE.{u1, 0} σ Nat (CanonicallyOrderedCommSemiring.toCanonicallyOrderedAddMonoid.{0} Nat Nat.canonicallyOrderedCommSemiring) (fun (a : Nat) (b : Nat) => Nat.decLe a b) s m) (HMul.hMul.{u2, u2, u2} R R R (instHMul.{u2} R (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) (MvPolynomial.coeff.{u2, u1} R σ _inst_1 (HSub.hSub.{u1, u1, u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (instHSub.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.tsub.{u1, 0} σ Nat (CanonicallyOrderedCommSemiring.toCanonicallyOrderedAddMonoid.{0} Nat Nat.canonicallyOrderedCommSemiring) instSubNat Nat.instOrderedSubNatInstLENatInstAddNatInstSubNat)) m s) p) r) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1)))))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.coeff_mul_monomial' MvPolynomial.coeff_mul_monomial'ₓ'. -/
 theorem coeff_mul_monomial' (m) (s : σ →₀ ℕ) (r : R) (p : MvPolynomial σ R) :
     coeff m (p * monomial s r) = if s ≤ m then coeff (m - s) p * r else 0 := by
@@ -1369,7 +1369,7 @@ theorem coeff_mul_monomial' (m) (s : σ →₀ ℕ) (r : R) (p : MvPolynomial σ
 lean 3 declaration is
   forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] (m : Finsupp.{u2, 0} σ Nat Nat.hasZero) (s : Finsupp.{u2, 0} σ Nat Nat.hasZero) (r : R) (p : MvPolynomial.{u2, u1} σ R _inst_1), Eq.{succ u1} R (MvPolynomial.coeff.{u1, u2} R σ _inst_1 m (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Distrib.toHasMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 s) r) p)) (ite.{succ u1} R (LE.le.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.hasLe.{u2, 0} σ Nat Nat.hasZero Nat.hasLe) s m) (Finsupp.decidableLE.{u2, 0} σ Nat (CanonicallyOrderedCommSemiring.toCanonicallyOrderedAddMonoid.{0} Nat Nat.canonicallyOrderedCommSemiring) (fun (a : Nat) (b : Nat) => Nat.decidableLe a b) s m) (HMul.hMul.{u1, u1, u1} R R R (instHMul.{u1} R (Distrib.toHasMul.{u1} R (NonUnitalNonAssocSemiring.toDistrib.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))) r (MvPolynomial.coeff.{u1, u2} R σ _inst_1 (HSub.hSub.{u2, u2, u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.{u2, 0} σ Nat Nat.hasZero) (instHSub.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.tsub.{u2, 0} σ Nat (CanonicallyOrderedCommSemiring.toCanonicallyOrderedAddMonoid.{0} Nat Nat.canonicallyOrderedCommSemiring) Nat.hasSub Nat.orderedSub)) m s) p)) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))))))
 but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] (m : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (s : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (r : R) (p : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{succ u2} R (MvPolynomial.coeff.{u2, u1} R σ _inst_1 m (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) r) (MvPolynomial.{u1, u2} σ R _inst_1) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) r) (instHMul.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) r) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) r) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) r) (Semiring.toNonAssocSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) r) (CommSemiring.toSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) r) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s) r) p)) (ite.{succ u2} R (LE.le.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.instLEFinsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) instLENat) s m) (Finsupp.decidableLE.{u1, 0} σ Nat (CanonicallyOrderedCommSemiring.toCanonicallyOrderedAddMonoid.{0} Nat Nat.canonicallyOrderedCommSemiring) (fun (a : Nat) (b : Nat) => Nat.decLe a b) s m) (HMul.hMul.{u2, u2, u2} R R R (instHMul.{u2} R (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) r (MvPolynomial.coeff.{u2, u1} R σ _inst_1 (HSub.hSub.{u1, u1, u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (instHSub.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.tsub.{u1, 0} σ Nat (CanonicallyOrderedCommSemiring.toCanonicallyOrderedAddMonoid.{0} Nat Nat.canonicallyOrderedCommSemiring) instSubNat Nat.instOrderedSubNatInstLENatInstAddNatInstSubNat)) m s) p)) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1)))))
+  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] (m : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (s : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (r : R) (p : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{succ u2} R (MvPolynomial.coeff.{u2, u1} R σ _inst_1 m (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) r) (MvPolynomial.{u1, u2} σ R _inst_1) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) r) (instHMul.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) r) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) r) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) r) (Semiring.toNonAssocSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) r) (CommSemiring.toSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) r) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s) r) p)) (ite.{succ u2} R (LE.le.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.instLEFinsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) instLENat) s m) (Finsupp.decidableLE.{u1, 0} σ Nat (CanonicallyOrderedCommSemiring.toCanonicallyOrderedAddMonoid.{0} Nat Nat.canonicallyOrderedCommSemiring) (fun (a : Nat) (b : Nat) => Nat.decLe a b) s m) (HMul.hMul.{u2, u2, u2} R R R (instHMul.{u2} R (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) r (MvPolynomial.coeff.{u2, u1} R σ _inst_1 (HSub.hSub.{u1, u1, u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (instHSub.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.tsub.{u1, 0} σ Nat (CanonicallyOrderedCommSemiring.toCanonicallyOrderedAddMonoid.{0} Nat Nat.canonicallyOrderedCommSemiring) instSubNat Nat.instOrderedSubNatInstLENatInstAddNatInstSubNat)) m s) p)) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1)))))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.coeff_monomial_mul' MvPolynomial.coeff_monomial_mul'ₓ'. -/
 theorem coeff_monomial_mul' (m) (s : σ →₀ ℕ) (r : R) (p : MvPolynomial σ R) :
     coeff m (monomial s r * p) = if s ≤ m then r * coeff (m - s) p else 0 :=
@@ -1553,7 +1553,7 @@ theorem constantCoeff_smul {R : Type _} [SMulZeroClass R S₁] (a : R) (f : MvPo
 lean 3 declaration is
   forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_3 : DecidableEq.{succ u2} σ] (d : Finsupp.{u2, 0} σ Nat Nat.hasZero) (r : R), Eq.{succ u1} R (coeFn.{max (succ (max u2 u1)) (succ u1), max (succ (max u2 u1)) (succ u1)} (RingHom.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (fun (_x : RingHom.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) => (MvPolynomial.{u2, u1} σ R _inst_1) -> R) (RingHom.hasCoeToFun.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.constantCoeff.{u1, u2} R σ _inst_1) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 d) r)) (ite.{succ u1} R (Eq.{succ u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) d (OfNat.ofNat.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) 0 (OfNat.mk.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) 0 (Zero.zero.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.zero.{u2, 0} σ Nat Nat.hasZero))))) (Finsupp.decidableEq.{u2, 0} σ Nat Nat.hasZero (fun (a : σ) (b : σ) => _inst_3 a b) (fun (a : Nat) (b : Nat) => Nat.decidableEq a b) d (OfNat.ofNat.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) 0 (OfNat.mk.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) 0 (Zero.zero.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.zero.{u2, 0} σ Nat Nat.hasZero))))) r (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))))))
 but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_3 : DecidableEq.{succ u1} σ] (d : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (r : R), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (a : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 d) r)) (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), succ u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) _x) (MulHomClass.toFunLike.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (RingHom.instRingHomClassRingHom.{max u1 u2, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))))) (MvPolynomial.constantCoeff.{u2, u1} R σ _inst_1) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 d) r)) (ite.{succ u2} R (Eq.{succ u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) d (OfNat.ofNat.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) 0 (Zero.toOfNat0.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.zero.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))))) (Finsupp.decidableEq.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) (fun (a : σ) (b : σ) => _inst_3 a b) (fun (a : Nat) (b : Nat) => instDecidableEqNat a b) d (OfNat.ofNat.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) 0 (Zero.toOfNat0.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.zero.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))))) r (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1)))))
+  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_3 : DecidableEq.{succ u1} σ] (d : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (r : R), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (a : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 d) r)) (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), succ u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) _x) (MulHomClass.toFunLike.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (RingHom.instRingHomClassRingHom.{max u1 u2, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))))) (MvPolynomial.constantCoeff.{u2, u1} R σ _inst_1) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 d) r)) (ite.{succ u2} R (Eq.{succ u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) d (OfNat.ofNat.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) 0 (Zero.toOfNat0.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.zero.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))))) (Finsupp.decidableEq.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) (fun (a : σ) (b : σ) => _inst_3 a b) (fun (a : Nat) (b : Nat) => instDecidableEqNat a b) d (OfNat.ofNat.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) 0 (Zero.toOfNat0.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.zero.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))))) r (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1)))))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.constant_coeff_monomial MvPolynomial.constantCoeff_monomialₓ'. -/
 theorem constantCoeff_monomial [DecidableEq σ] (d : σ →₀ ℕ) (r : R) :
     constantCoeff (monomial d r) = if d = 0 then r else 0 := by
@@ -1595,7 +1595,7 @@ section AsSum
 lean 3 declaration is
   forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] (p : MvPolynomial.{u2, u1} σ R _inst_1), Eq.{succ (max u2 u1)} (MvPolynomial.{u2, u1} σ R _inst_1) (Finset.sum.{max u2 u1, u2} (MvPolynomial.{u2, u1} σ R _inst_1) (Finsupp.{u2, 0} σ Nat Nat.hasZero) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (MvPolynomial.support.{u1, u2} R σ _inst_1 p) (fun (v : Finsupp.{u2, 0} σ Nat Nat.hasZero) => coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 v) (MvPolynomial.coeff.{u1, u2} R σ _inst_1 v p))) p
 but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] (p : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{max (succ u2) (succ u1)} (MvPolynomial.{u1, u2} σ R _inst_1) (Finset.sum.{max u2 u1, u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (MvPolynomial.support.{u2, u1} R σ _inst_1 p) (fun (v : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 v) (MvPolynomial.coeff.{u2, u1} R σ _inst_1 v p))) p
+  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] (p : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{max (succ u2) (succ u1)} (MvPolynomial.{u1, u2} σ R _inst_1) (Finset.sum.{max u2 u1, u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (MvPolynomial.support.{u2, u1} R σ _inst_1 p) (fun (v : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 v) (MvPolynomial.coeff.{u2, u1} R σ _inst_1 v p))) p
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.support_sum_monomial_coeff MvPolynomial.support_sum_monomial_coeffₓ'. -/
 @[simp]
 theorem support_sum_monomial_coeff (p : MvPolynomial σ R) :
@@ -1607,7 +1607,7 @@ theorem support_sum_monomial_coeff (p : MvPolynomial σ R) :
 lean 3 declaration is
   forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] (p : MvPolynomial.{u2, u1} σ R _inst_1), Eq.{max (succ u2) (succ u1)} (MvPolynomial.{u2, u1} σ R _inst_1) p (Finset.sum.{max u2 u1, u2} (MvPolynomial.{u2, u1} σ R _inst_1) (Finsupp.{u2, 0} σ Nat Nat.hasZero) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (MvPolynomial.support.{u1, u2} R σ _inst_1 p) (fun (v : Finsupp.{u2, 0} σ Nat Nat.hasZero) => coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 v) (MvPolynomial.coeff.{u1, u2} R σ _inst_1 v p)))
 but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] (p : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{max (succ u2) (succ u1)} (MvPolynomial.{u1, u2} σ R _inst_1) p (Finset.sum.{max u2 u1, u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (MvPolynomial.support.{u2, u1} R σ _inst_1 p) (fun (v : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 v) (MvPolynomial.coeff.{u2, u1} R σ _inst_1 v p)))
+  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] (p : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{max (succ u2) (succ u1)} (MvPolynomial.{u1, u2} σ R _inst_1) p (Finset.sum.{max u2 u1, u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (MvPolynomial.support.{u2, u1} R σ _inst_1 p) (fun (v : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 v) (MvPolynomial.coeff.{u2, u1} R σ _inst_1 v p)))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.as_sum MvPolynomial.as_sumₓ'. -/
 theorem as_sum (p : MvPolynomial σ R) : p = ∑ v in p.support, monomial v (coeff v p) :=
   (support_sum_monomial_coeff p).symm
@@ -1679,7 +1679,7 @@ theorem eval₂_add : (p + q).eval₂ f g = p.eval₂ f g + q.eval₂ f g := by
 lean 3 declaration is
   forall {R : Type.{u1}} {S₁ : Type.{u2}} {σ : Type.{u3}} {a : R} {s : Finsupp.{u3, 0} σ Nat Nat.hasZero} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] (f : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (g : σ -> S₁), Eq.{succ u2} S₁ (MvPolynomial.eval₂.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 f g (coeFn.{max (succ u1) (succ (max u3 u1)), max (succ u1) (succ (max u3 u1))} (LinearMap.{u1, u1, u1, max u3 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u3, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u3 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u3, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u3, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u3 u1} R R R (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u3} R σ _inst_1 s) a)) (HMul.hMul.{u2, u2, u2} S₁ S₁ S₁ (instHMul.{u2} S₁ (Distrib.toHasMul.{u2} S₁ (NonUnitalNonAssocSemiring.toDistrib.{u2} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S₁ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)))))) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (fun (_x : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) => R -> S₁) (RingHom.hasCoeToFun.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) f a) (Finsupp.prod.{u3, 0, u2} σ Nat S₁ Nat.hasZero (CommSemiring.toCommMonoid.{u2} S₁ _inst_2) s (fun (n : σ) (e : Nat) => HPow.hPow.{u2, 0, u2} S₁ Nat S₁ (instHPow.{u2, 0} S₁ Nat (Monoid.Pow.{u2} S₁ (MonoidWithZero.toMonoid.{u2} S₁ (Semiring.toMonoidWithZero.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))))) (g n) e)))
 but is expected to have type
-  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} {a : R} {s : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] (f : RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (g : σ -> S₁), Eq.{succ u3} S₁ (MvPolynomial.eval₂.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f g (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s) a)) (HMul.hMul.{u3, u3, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) S₁ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) (instHMul.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) (NonUnitalNonAssocSemiring.toMul.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) (Semiring.toNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) _inst_2))))) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) _x) (MulHomClass.toFunLike.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) f a) (Finsupp.prod.{u1, 0, u3} σ Nat S₁ (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) (CommSemiring.toCommMonoid.{u3} S₁ _inst_2) s (fun (n : σ) (e : Nat) => HPow.hPow.{u3, 0, u3} S₁ Nat S₁ (instHPow.{u3, 0} S₁ Nat (Monoid.Pow.{u3} S₁ (MonoidWithZero.toMonoid.{u3} S₁ (Semiring.toMonoidWithZero.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))))) (g n) e)))
+  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} {a : R} {s : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] (f : RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (g : σ -> S₁), Eq.{succ u3} S₁ (MvPolynomial.eval₂.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f g (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s) a)) (HMul.hMul.{u3, u3, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) S₁ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) (instHMul.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) (NonUnitalNonAssocSemiring.toMul.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) (Semiring.toNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) _inst_2))))) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) _x) (MulHomClass.toFunLike.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) f a) (Finsupp.prod.{u1, 0, u3} σ Nat S₁ (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) (CommSemiring.toCommMonoid.{u3} S₁ _inst_2) s (fun (n : σ) (e : Nat) => HPow.hPow.{u3, 0, u3} S₁ Nat S₁ (instHPow.{u3, 0} S₁ Nat (Monoid.Pow.{u3} S₁ (MonoidWithZero.toMonoid.{u3} S₁ (Semiring.toMonoidWithZero.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))))) (g n) e)))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval₂_monomial MvPolynomial.eval₂_monomialₓ'. -/
 @[simp]
 theorem eval₂_monomial : (monomial s a).eval₂ f g = f a * s.Prod fun n e => g n ^ e :=
@@ -1723,7 +1723,7 @@ theorem eval₂_X (n) : (X n).eval₂ f g = g n := by
 lean 3 declaration is
   forall {R : Type.{u1}} {S₁ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] {p : MvPolynomial.{u3, u1} σ R _inst_1} (f : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (g : σ -> S₁) {s : Finsupp.{u3, 0} σ Nat Nat.hasZero} {a : R}, Eq.{succ u2} S₁ (MvPolynomial.eval₂.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 f g (HMul.hMul.{max u3 u1, max u3 u1, max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u1} σ R _inst_1) (instHMul.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Distrib.toHasMul.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))))) p (coeFn.{max (succ u1) (succ (max u3 u1)), max (succ u1) (succ (max u3 u1))} (LinearMap.{u1, u1, u1, max u3 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u3, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u3 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u3, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u3, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u3 u1} R R R (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u3} R σ _inst_1 s) a))) (HMul.hMul.{u2, u2, u2} S₁ S₁ S₁ (instHMul.{u2} S₁ (Distrib.toHasMul.{u2} S₁ (NonUnitalNonAssocSemiring.toDistrib.{u2} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S₁ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)))))) (HMul.hMul.{u2, u2, u2} S₁ S₁ S₁ (instHMul.{u2} S₁ (Distrib.toHasMul.{u2} S₁ (NonUnitalNonAssocSemiring.toDistrib.{u2} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S₁ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)))))) (MvPolynomial.eval₂.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 f g p) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (fun (_x : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) => R -> S₁) (RingHom.hasCoeToFun.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) f a)) (Finsupp.prod.{u3, 0, u2} σ Nat S₁ Nat.hasZero (CommSemiring.toCommMonoid.{u2} S₁ _inst_2) s (fun (n : σ) (e : Nat) => HPow.hPow.{u2, 0, u2} S₁ Nat S₁ (instHPow.{u2, 0} S₁ Nat (Monoid.Pow.{u2} S₁ (MonoidWithZero.toMonoid.{u2} S₁ (Semiring.toMonoidWithZero.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))))) (g n) e)))
 but is expected to have type
-  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] {p : MvPolynomial.{u1, u2} σ R _inst_1} (f : RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (g : σ -> S₁) {s : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)} {a : R}, Eq.{succ u3} S₁ (MvPolynomial.eval₂.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f g (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (MvPolynomial.{u1, u2} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) p (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s) a))) (HMul.hMul.{u3, u3, u3} S₁ S₁ S₁ (instHMul.{u3} S₁ (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))))) (HMul.hMul.{u3, u3, u3} S₁ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) S₁ (instHMul.{u3} S₁ (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))))) (MvPolynomial.eval₂.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f g p) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) _x) (MulHomClass.toFunLike.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) f a)) (Finsupp.prod.{u1, 0, u3} σ Nat S₁ (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) (CommSemiring.toCommMonoid.{u3} S₁ _inst_2) s (fun (n : σ) (e : Nat) => HPow.hPow.{u3, 0, u3} S₁ Nat S₁ (instHPow.{u3, 0} S₁ Nat (Monoid.Pow.{u3} S₁ (MonoidWithZero.toMonoid.{u3} S₁ (Semiring.toMonoidWithZero.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))))) (g n) e)))
+  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] {p : MvPolynomial.{u1, u2} σ R _inst_1} (f : RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (g : σ -> S₁) {s : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)} {a : R}, Eq.{succ u3} S₁ (MvPolynomial.eval₂.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f g (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (MvPolynomial.{u1, u2} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) p (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s) a))) (HMul.hMul.{u3, u3, u3} S₁ S₁ S₁ (instHMul.{u3} S₁ (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))))) (HMul.hMul.{u3, u3, u3} S₁ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) S₁ (instHMul.{u3} S₁ (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))))) (MvPolynomial.eval₂.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f g p) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) _x) (MulHomClass.toFunLike.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) f a)) (Finsupp.prod.{u1, 0, u3} σ Nat S₁ (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) (CommSemiring.toCommMonoid.{u3} S₁ _inst_2) s (fun (n : σ) (e : Nat) => HPow.hPow.{u3, 0, u3} S₁ Nat S₁ (instHPow.{u3, 0} S₁ Nat (Monoid.Pow.{u3} S₁ (MonoidWithZero.toMonoid.{u3} S₁ (Semiring.toMonoidWithZero.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))))) (g n) e)))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval₂_mul_monomial MvPolynomial.eval₂_mul_monomialₓ'. -/
 theorem eval₂_mul_monomial :
     ∀ {s a}, (p * monomial s a).eval₂ f g = p.eval₂ f g * f a * s.Prod fun n e => g n ^ e := by
@@ -1875,7 +1875,7 @@ theorem map_eval₂Hom [CommSemiring S₂] (f : R →+* S₁) (g : σ → S₁)
 lean 3 declaration is
   forall {R : Type.{u1}} {S₁ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] (f : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (g : σ -> S₁) (d : Finsupp.{u3, 0} σ Nat Nat.hasZero) (r : R), Eq.{succ u2} S₁ (coeFn.{max (succ (max u3 u1)) (succ u2), max (succ (max u3 u1)) (succ u2)} (RingHom.{max u3 u1, u2} (MvPolynomial.{u3, u1} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (fun (_x : RingHom.{max u3 u1, u2} (MvPolynomial.{u3, u1} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) => (MvPolynomial.{u3, u1} σ R _inst_1) -> S₁) (RingHom.hasCoeToFun.{max u3 u1, u2} (MvPolynomial.{u3, u1} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (MvPolynomial.eval₂Hom.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 f g) (coeFn.{max (succ u1) (succ (max u3 u1)), max (succ u1) (succ (max u3 u1))} (LinearMap.{u1, u1, u1, max u3 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u3, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u3 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u3, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u3, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u3 u1} R R R (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u3} R σ _inst_1 d) r)) (HMul.hMul.{u2, u2, u2} S₁ S₁ S₁ (instHMul.{u2} S₁ (Distrib.toHasMul.{u2} S₁ (NonUnitalNonAssocSemiring.toDistrib.{u2} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S₁ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)))))) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (fun (_x : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) => R -> S₁) (RingHom.hasCoeToFun.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) f r) (Finsupp.prod.{u3, 0, u2} σ Nat S₁ Nat.hasZero (CommSemiring.toCommMonoid.{u2} S₁ _inst_2) d (fun (i : σ) (k : Nat) => HPow.hPow.{u2, 0, u2} S₁ Nat S₁ (instHPow.{u2, 0} S₁ Nat (Monoid.Pow.{u2} S₁ (MonoidWithZero.toMonoid.{u2} S₁ (Semiring.toMonoidWithZero.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))))) (g i) k)))
 but is expected to have type
-  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] (f : RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (g : σ -> S₁) (d : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (r : R), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => S₁) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (a : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 d) r)) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u2) (succ u1), succ u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => S₁) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (MvPolynomial.eval₂Hom.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f g) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 d) r)) (HMul.hMul.{u3, u3, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) S₁ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) (instHMul.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) (NonUnitalNonAssocSemiring.toMul.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) (Semiring.toNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) _inst_2))))) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) _x) (MulHomClass.toFunLike.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) f r) (Finsupp.prod.{u1, 0, u3} σ Nat S₁ (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) (CommSemiring.toCommMonoid.{u3} S₁ _inst_2) d (fun (i : σ) (k : Nat) => HPow.hPow.{u3, 0, u3} S₁ Nat S₁ (instHPow.{u3, 0} S₁ Nat (Monoid.Pow.{u3} S₁ (MonoidWithZero.toMonoid.{u3} S₁ (Semiring.toMonoidWithZero.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))))) (g i) k)))
+  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] (f : RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (g : σ -> S₁) (d : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (r : R), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => S₁) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (a : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 d) r)) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u2) (succ u1), succ u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => S₁) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (MvPolynomial.eval₂Hom.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f g) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 d) r)) (HMul.hMul.{u3, u3, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) S₁ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) (instHMul.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) (NonUnitalNonAssocSemiring.toMul.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) (Semiring.toNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) _inst_2))))) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) _x) (MulHomClass.toFunLike.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) f r) (Finsupp.prod.{u1, 0, u3} σ Nat S₁ (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) (CommSemiring.toCommMonoid.{u3} S₁ _inst_2) d (fun (i : σ) (k : Nat) => HPow.hPow.{u3, 0, u3} S₁ Nat S₁ (instHPow.{u3, 0} S₁ Nat (Monoid.Pow.{u3} S₁ (MonoidWithZero.toMonoid.{u3} S₁ (Semiring.toMonoidWithZero.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))))) (g i) k)))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval₂_hom_monomial MvPolynomial.eval₂Hom_monomialₓ'. -/
 theorem eval₂Hom_monomial (f : R →+* S₁) (g : σ → S₁) (d : σ →₀ ℕ) (r : R) :
     eval₂Hom f g (monomial d r) = f r * d.Prod fun i k => g i ^ k := by
@@ -2006,7 +2006,7 @@ theorem eval_eq' [Fintype σ] (x : σ → R) (f : MvPolynomial σ R) :
 lean 3 declaration is
   forall {R : Type.{u1}} {σ : Type.{u2}} {a : R} {s : Finsupp.{u2, 0} σ Nat Nat.hasZero} [_inst_1 : CommSemiring.{u1} R] {f : σ -> R}, Eq.{succ u1} R (coeFn.{max (succ (max u2 u1)) (succ u1), max (succ (max u2 u1)) (succ u1)} (RingHom.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (fun (_x : RingHom.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) => (MvPolynomial.{u2, u1} σ R _inst_1) -> R) (RingHom.hasCoeToFun.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.eval.{u1, u2} R σ _inst_1 f) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 s) a)) (HMul.hMul.{u1, u1, u1} R R R (instHMul.{u1} R (Distrib.toHasMul.{u1} R (NonUnitalNonAssocSemiring.toDistrib.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))) a (Finsupp.prod.{u2, 0, u1} σ Nat R Nat.hasZero (CommSemiring.toCommMonoid.{u1} R _inst_1) s (fun (n : σ) (e : Nat) => HPow.hPow.{u1, 0, u1} R Nat R (instHPow.{u1, 0} R Nat (Monoid.Pow.{u1} R (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (f n) e)))
 but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} {a : R} {s : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)} [_inst_1 : CommSemiring.{u2} R] {f : σ -> R}, Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (a : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s) a)) (FunLike.coe.{max (succ u2) (succ u1), max (succ u2) (succ u1), succ u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) _x) (MulHomClass.toFunLike.{max u2 u1, max u2 u1, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, max u2 u1, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, max u2 u1, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (RingHom.instRingHomClassRingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))))) (MvPolynomial.eval.{u2, u1} R σ _inst_1 f) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s) a)) (HMul.hMul.{u2, u2, u2} R R R (instHMul.{u2} R (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) a (Finsupp.prod.{u1, 0, u2} σ Nat R (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) (CommSemiring.toCommMonoid.{u2} R _inst_1) s (fun (n : σ) (e : Nat) => HPow.hPow.{u2, 0, u2} R Nat R (instHPow.{u2, 0} R Nat (Monoid.Pow.{u2} R (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) (f n) e)))
+  forall {R : Type.{u2}} {σ : Type.{u1}} {a : R} {s : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)} [_inst_1 : CommSemiring.{u2} R] {f : σ -> R}, Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (a : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s) a)) (FunLike.coe.{max (succ u2) (succ u1), max (succ u2) (succ u1), succ u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) _x) (MulHomClass.toFunLike.{max u2 u1, max u2 u1, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, max u2 u1, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, max u2 u1, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (RingHom.instRingHomClassRingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))))) (MvPolynomial.eval.{u2, u1} R σ _inst_1 f) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s) a)) (HMul.hMul.{u2, u2, u2} R R R (instHMul.{u2} R (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) a (Finsupp.prod.{u1, 0, u2} σ Nat R (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) (CommSemiring.toCommMonoid.{u2} R _inst_1) s (fun (n : σ) (e : Nat) => HPow.hPow.{u2, 0, u2} R Nat R (instHPow.{u2, 0} R Nat (Monoid.Pow.{u2} R (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) (f n) e)))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval_monomial MvPolynomial.eval_monomialₓ'. -/
 theorem eval_monomial : eval f (monomial s a) = a * s.Prod fun n e => f n ^ e :=
   eval₂_monomial _ _
@@ -2129,7 +2129,7 @@ def map : MvPolynomial σ R →+* MvPolynomial σ S₁ :=
 lean 3 declaration is
   forall {R : Type.{u1}} {S₁ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] (f : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (s : Finsupp.{u3, 0} σ Nat Nat.hasZero) (a : R), Eq.{max (succ u3) (succ u2)} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (coeFn.{max (succ (max u3 u1)) (succ (max u3 u2)), max (succ (max u3 u1)) (succ (max u3 u2))} (RingHom.{max u3 u1, max u3 u2} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))) (fun (_x : RingHom.{max u3 u1, max u3 u2} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))) => (MvPolynomial.{u3, u1} σ R _inst_1) -> (MvPolynomial.{u3, u2} σ S₁ _inst_2)) (RingHom.hasCoeToFun.{max u3 u1, max u3 u2} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))) (MvPolynomial.map.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 f) (coeFn.{max (succ u1) (succ (max u3 u1)), max (succ u1) (succ (max u3 u1))} (LinearMap.{u1, u1, u1, max u3 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u3, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u3 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u3, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u3, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u3 u1} R R R (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u3} R σ _inst_1 s) a)) (coeFn.{max (succ u2) (succ (max u3 u2)), max (succ u2) (succ (max u3 u2))} (LinearMap.{u2, u2, u2, max u3 u2} S₁ S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2) (CommSemiring.toSemiring.{u2} S₁ _inst_2) (RingHom.id.{u2} S₁ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) S₁ (MvPolynomial.{u3, u2} σ S₁ _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S₁ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2))))) (Semiring.toModule.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (MvPolynomial.module.{u2, u2, u3} S₁ S₁ σ (CommSemiring.toSemiring.{u2} S₁ _inst_2) _inst_2 (Semiring.toModule.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)))) (fun (_x : LinearMap.{u2, u2, u2, max u3 u2} S₁ S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2) (CommSemiring.toSemiring.{u2} S₁ _inst_2) (RingHom.id.{u2} S₁ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) S₁ (MvPolynomial.{u3, u2} σ S₁ _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S₁ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2))))) (Semiring.toModule.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (MvPolynomial.module.{u2, u2, u3} S₁ S₁ σ (CommSemiring.toSemiring.{u2} S₁ _inst_2) _inst_2 (Semiring.toModule.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)))) => S₁ -> (MvPolynomial.{u3, u2} σ S₁ _inst_2)) (LinearMap.hasCoeToFun.{u2, u2, u2, max u3 u2} S₁ S₁ S₁ (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{u2} S₁ _inst_2) (CommSemiring.toSemiring.{u2} S₁ _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S₁ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2))))) (Semiring.toModule.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (MvPolynomial.module.{u2, u2, u3} S₁ S₁ σ (CommSemiring.toSemiring.{u2} S₁ _inst_2) _inst_2 (Semiring.toModule.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (RingHom.id.{u2} S₁ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)))) (MvPolynomial.monomial.{u2, u3} S₁ σ _inst_2 s) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (fun (_x : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) => R -> S₁) (RingHom.hasCoeToFun.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) f a))
 but is expected to have type
-  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] (f : RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (s : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (a : R), Eq.{max (succ u3) (succ u1)} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u3} σ S₁ _inst_2) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (a : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s) a)) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u2) (succ u1), max (succ u3) (succ u1)} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u3} σ S₁ _inst_2) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (RingHom.instRingHomClassRingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))))) (MvPolynomial.map.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s) a)) (FunLike.coe.{max (succ u1) (succ u3), succ u3, max (succ u1) (succ u3)} (LinearMap.{u3, u3, u3, max u3 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) _inst_2) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) _inst_2) (RingHom.id.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) (Semiring.toNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) _inst_2))) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) (Semiring.toNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) _inst_2) (MvPolynomial.commSemiring.{u3, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) σ _inst_2))))) (Semiring.toModule.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) _inst_2)) (MvPolynomial.module.{u3, u3, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) σ (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) _inst_2) _inst_2 (Semiring.toModule.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) _inst_2)))) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) (fun (_x : (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) => MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) _inst_2) _x) (LinearMap.instFunLikeLinearMap.{u3, u3, u3, max u1 u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) _inst_2) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) _inst_2) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) (Semiring.toNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) _inst_2) (MvPolynomial.commSemiring.{u3, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) σ _inst_2))))) (Semiring.toModule.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) _inst_2)) (MvPolynomial.module.{u3, u3, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) σ (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) _inst_2) _inst_2 (Semiring.toModule.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) _inst_2))) (RingHom.id.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) (Semiring.toNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) _inst_2)))) (MvPolynomial.monomial.{u3, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) σ _inst_2 s) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) _x) (MulHomClass.toFunLike.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) f a))
+  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] (f : RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (s : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (a : R), Eq.{max (succ u3) (succ u1)} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u3} σ S₁ _inst_2) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (a : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s) a)) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u2) (succ u1), max (succ u3) (succ u1)} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u3} σ S₁ _inst_2) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (RingHom.instRingHomClassRingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))))) (MvPolynomial.map.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s) a)) (FunLike.coe.{max (succ u1) (succ u3), succ u3, max (succ u1) (succ u3)} (LinearMap.{u3, u3, u3, max u3 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) _inst_2) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) _inst_2) (RingHom.id.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) (Semiring.toNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) _inst_2))) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) (Semiring.toNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) _inst_2) (MvPolynomial.commSemiring.{u3, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) σ _inst_2))))) (Semiring.toModule.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) _inst_2)) (MvPolynomial.module.{u3, u3, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) σ (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) _inst_2) _inst_2 (Semiring.toModule.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) _inst_2)))) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) (fun (_x : (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) => MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) _inst_2) _x) (LinearMap.instFunLikeLinearMap.{u3, u3, u3, max u1 u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) _inst_2) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) _inst_2) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) (Semiring.toNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) _inst_2) (MvPolynomial.commSemiring.{u3, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) σ _inst_2))))) (Semiring.toModule.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) _inst_2)) (MvPolynomial.module.{u3, u3, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) σ (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) _inst_2) _inst_2 (Semiring.toModule.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) _inst_2))) (RingHom.id.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) (Semiring.toNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) _inst_2)))) (MvPolynomial.monomial.{u3, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) σ _inst_2 s) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) _x) (MulHomClass.toFunLike.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) f a))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.map_monomial MvPolynomial.map_monomialₓ'. -/
 @[simp]
 theorem map_monomial (s : σ →₀ ℕ) (a : R) : map f (monomial s a) = monomial s (f a) :=
@@ -2521,7 +2521,7 @@ def aeval : MvPolynomial σ R →ₐ[R] S₁ :=
 lean 3 declaration is
   forall {R : Type.{u1}} {S₁ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] [_inst_3 : Algebra.{u1, u2} R S₁ _inst_1 (CommSemiring.toSemiring.{u2} S₁ _inst_2)] (f : σ -> S₁) (p : MvPolynomial.{u3, u1} σ R _inst_1), Eq.{succ u2} S₁ (coeFn.{max (succ (max u3 u1)) (succ u2), max (succ (max u3 u1)) (succ u2)} (AlgHom.{u1, max u3 u1, u2} R (MvPolynomial.{u3, u1} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (CommSemiring.toSemiring.{u2} S₁ _inst_2) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_3) (fun (_x : AlgHom.{u1, max u3 u1, u2} R (MvPolynomial.{u3, u1} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (CommSemiring.toSemiring.{u2} S₁ _inst_2) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_3) => (MvPolynomial.{u3, u1} σ R _inst_1) -> S₁) ([anonymous].{u1, max u3 u1, u2} R (MvPolynomial.{u3, u1} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (CommSemiring.toSemiring.{u2} S₁ _inst_2) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_3) (MvPolynomial.aeval.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 _inst_3 f) p) (MvPolynomial.eval₂.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 (algebraMap.{u1, u2} R S₁ _inst_1 (CommSemiring.toSemiring.{u2} S₁ _inst_2) _inst_3) f p)
 but is expected to have type
-  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] [_inst_3 : Algebra.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2)] (f : σ -> S₁) (p : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u1, u2} σ R _inst_1) => S₁) p) (FunLike.coe.{max (max (succ u3) (succ u1)) (succ u2), max (succ u1) (succ u2), succ u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u1, u2} σ R _inst_1) => S₁) _x) (SMulHomClass.toFunLike.{max (max u3 u1) u2, u2, max u1 u2, u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (SMulZeroClass.toSMul.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (AddMonoid.toZero.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (DistribSMul.toSMulZeroClass.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (DistribMulAction.toDistribSMul.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))))))) (SMulZeroClass.toSMul.{u2, u3} R S₁ (AddMonoid.toZero.{u3} S₁ (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (DistribSMul.toSMulZeroClass.{u2, u3} R S₁ (AddMonoid.toAddZeroClass.{u3} S₁ (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (DistribMulAction.toDistribSMul.{u2, u3} R S₁ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))))) (Module.toDistribMulAction.{u2, u3} R S₁ (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (Algebra.toModule.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3))))) (DistribMulActionHomClass.toSMulHomClass.{max (max u3 u1) u2, u2, max u1 u2, u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (Module.toDistribMulAction.{u2, u3} R S₁ (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (Algebra.toModule.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max (max u3 u1) u2, u2, max u1 u2, u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (Module.toDistribMulAction.{u2, u3} R S₁ (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (Algebra.toModule.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u2, max u1 u2, u3, max (max u3 u1) u2} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3 (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) (AlgHom.algHomClass.{u2, max u1 u2, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3))))) (MvPolynomial.aeval.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 _inst_3 f) p) (MvPolynomial.eval₂.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 (algebraMap.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3) f p)
+  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] [_inst_3 : Algebra.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2)] (f : σ -> S₁) (p : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : MvPolynomial.{u1, u2} σ R _inst_1) => S₁) p) (FunLike.coe.{max (max (succ u3) (succ u1)) (succ u2), max (succ u1) (succ u2), succ u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : MvPolynomial.{u1, u2} σ R _inst_1) => S₁) _x) (SMulHomClass.toFunLike.{max (max u3 u1) u2, u2, max u1 u2, u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (SMulZeroClass.toSMul.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (AddMonoid.toZero.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (DistribSMul.toSMulZeroClass.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (DistribMulAction.toDistribSMul.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))))))) (SMulZeroClass.toSMul.{u2, u3} R S₁ (AddMonoid.toZero.{u3} S₁ (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (DistribSMul.toSMulZeroClass.{u2, u3} R S₁ (AddMonoid.toAddZeroClass.{u3} S₁ (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (DistribMulAction.toDistribSMul.{u2, u3} R S₁ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))))) (Module.toDistribMulAction.{u2, u3} R S₁ (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (Algebra.toModule.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3))))) (DistribMulActionHomClass.toSMulHomClass.{max (max u3 u1) u2, u2, max u1 u2, u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (Module.toDistribMulAction.{u2, u3} R S₁ (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (Algebra.toModule.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max (max u3 u1) u2, u2, max u1 u2, u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (Module.toDistribMulAction.{u2, u3} R S₁ (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (Algebra.toModule.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u2, max u1 u2, u3, max (max u3 u1) u2} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3 (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) (AlgHom.algHomClass.{u2, max u1 u2, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3))))) (MvPolynomial.aeval.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 _inst_3 f) p) (MvPolynomial.eval₂.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 (algebraMap.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3) f p)
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.aeval_def MvPolynomial.aeval_defₓ'. -/
 theorem aeval_def (p : MvPolynomial σ R) : aeval f p = eval₂ (algebraMap R S₁) f p :=
   rfl
@@ -2531,7 +2531,7 @@ theorem aeval_def (p : MvPolynomial σ R) : aeval f p = eval₂ (algebraMap R S
 lean 3 declaration is
   forall {R : Type.{u1}} {S₁ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] [_inst_3 : Algebra.{u1, u2} R S₁ _inst_1 (CommSemiring.toSemiring.{u2} S₁ _inst_2)] (f : σ -> S₁) (p : MvPolynomial.{u3, u1} σ R _inst_1), Eq.{succ u2} S₁ (coeFn.{max (succ (max u3 u1)) (succ u2), max (succ (max u3 u1)) (succ u2)} (AlgHom.{u1, max u3 u1, u2} R (MvPolynomial.{u3, u1} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (CommSemiring.toSemiring.{u2} S₁ _inst_2) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_3) (fun (_x : AlgHom.{u1, max u3 u1, u2} R (MvPolynomial.{u3, u1} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (CommSemiring.toSemiring.{u2} S₁ _inst_2) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_3) => (MvPolynomial.{u3, u1} σ R _inst_1) -> S₁) ([anonymous].{u1, max u3 u1, u2} R (MvPolynomial.{u3, u1} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (CommSemiring.toSemiring.{u2} S₁ _inst_2) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_3) (MvPolynomial.aeval.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 _inst_3 f) p) (coeFn.{max (succ (max u3 u1)) (succ u2), max (succ (max u3 u1)) (succ u2)} (RingHom.{max u3 u1, u2} (MvPolynomial.{u3, u1} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (fun (_x : RingHom.{max u3 u1, u2} (MvPolynomial.{u3, u1} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) => (MvPolynomial.{u3, u1} σ R _inst_1) -> S₁) (RingHom.hasCoeToFun.{max u3 u1, u2} (MvPolynomial.{u3, u1} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (MvPolynomial.eval₂Hom.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 (algebraMap.{u1, u2} R S₁ _inst_1 (CommSemiring.toSemiring.{u2} S₁ _inst_2) _inst_3) f) p)
 but is expected to have type
-  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] [_inst_3 : Algebra.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2)] (f : σ -> S₁) (p : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u1, u2} σ R _inst_1) => S₁) p) (FunLike.coe.{max (max (succ u3) (succ u1)) (succ u2), max (succ u1) (succ u2), succ u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u1, u2} σ R _inst_1) => S₁) _x) (SMulHomClass.toFunLike.{max (max u3 u1) u2, u2, max u1 u2, u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (SMulZeroClass.toSMul.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (AddMonoid.toZero.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (DistribSMul.toSMulZeroClass.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (DistribMulAction.toDistribSMul.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))))))) (SMulZeroClass.toSMul.{u2, u3} R S₁ (AddMonoid.toZero.{u3} S₁ (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (DistribSMul.toSMulZeroClass.{u2, u3} R S₁ (AddMonoid.toAddZeroClass.{u3} S₁ (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (DistribMulAction.toDistribSMul.{u2, u3} R S₁ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))))) (Module.toDistribMulAction.{u2, u3} R S₁ (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (Algebra.toModule.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3))))) (DistribMulActionHomClass.toSMulHomClass.{max (max u3 u1) u2, u2, max u1 u2, u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (Module.toDistribMulAction.{u2, u3} R S₁ (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (Algebra.toModule.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max (max u3 u1) u2, u2, max u1 u2, u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (Module.toDistribMulAction.{u2, u3} R S₁ (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (Algebra.toModule.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u2, max u1 u2, u3, max (max u3 u1) u2} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3 (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) (AlgHom.algHomClass.{u2, max u1 u2, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3))))) (MvPolynomial.aeval.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 _inst_3 f) p) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u2) (succ u1), succ u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => S₁) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (MvPolynomial.eval₂Hom.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 (algebraMap.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3) f) p)
+  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] [_inst_3 : Algebra.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2)] (f : σ -> S₁) (p : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : MvPolynomial.{u1, u2} σ R _inst_1) => S₁) p) (FunLike.coe.{max (max (succ u3) (succ u1)) (succ u2), max (succ u1) (succ u2), succ u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : MvPolynomial.{u1, u2} σ R _inst_1) => S₁) _x) (SMulHomClass.toFunLike.{max (max u3 u1) u2, u2, max u1 u2, u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (SMulZeroClass.toSMul.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (AddMonoid.toZero.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (DistribSMul.toSMulZeroClass.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (DistribMulAction.toDistribSMul.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))))))) (SMulZeroClass.toSMul.{u2, u3} R S₁ (AddMonoid.toZero.{u3} S₁ (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (DistribSMul.toSMulZeroClass.{u2, u3} R S₁ (AddMonoid.toAddZeroClass.{u3} S₁ (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (DistribMulAction.toDistribSMul.{u2, u3} R S₁ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))))) (Module.toDistribMulAction.{u2, u3} R S₁ (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (Algebra.toModule.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3))))) (DistribMulActionHomClass.toSMulHomClass.{max (max u3 u1) u2, u2, max u1 u2, u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (Module.toDistribMulAction.{u2, u3} R S₁ (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (Algebra.toModule.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max (max u3 u1) u2, u2, max u1 u2, u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (Module.toDistribMulAction.{u2, u3} R S₁ (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (Algebra.toModule.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u2, max u1 u2, u3, max (max u3 u1) u2} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3 (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) (AlgHom.algHomClass.{u2, max u1 u2, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3))))) (MvPolynomial.aeval.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 _inst_3 f) p) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u2) (succ u1), succ u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => S₁) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (MvPolynomial.eval₂Hom.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 (algebraMap.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3) f) p)
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.aeval_eq_eval₂_hom MvPolynomial.aeval_eq_eval₂Homₓ'. -/
 theorem aeval_eq_eval₂Hom (p : MvPolynomial σ R) : aeval f p = eval₂Hom (algebraMap R S₁) f p :=
   rfl
@@ -2541,7 +2541,7 @@ theorem aeval_eq_eval₂Hom (p : MvPolynomial σ R) : aeval f p = eval₂Hom (al
 lean 3 declaration is
   forall {R : Type.{u1}} {S₁ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] [_inst_3 : Algebra.{u1, u2} R S₁ _inst_1 (CommSemiring.toSemiring.{u2} S₁ _inst_2)] (f : σ -> S₁) (s : σ), Eq.{succ u2} S₁ (coeFn.{max (succ (max u3 u1)) (succ u2), max (succ (max u3 u1)) (succ u2)} (AlgHom.{u1, max u3 u1, u2} R (MvPolynomial.{u3, u1} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (CommSemiring.toSemiring.{u2} S₁ _inst_2) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_3) (fun (_x : AlgHom.{u1, max u3 u1, u2} R (MvPolynomial.{u3, u1} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (CommSemiring.toSemiring.{u2} S₁ _inst_2) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_3) => (MvPolynomial.{u3, u1} σ R _inst_1) -> S₁) ([anonymous].{u1, max u3 u1, u2} R (MvPolynomial.{u3, u1} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (CommSemiring.toSemiring.{u2} S₁ _inst_2) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_3) (MvPolynomial.aeval.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 _inst_3 f) (MvPolynomial.X.{u1, u3} R σ _inst_1 s)) (f s)
 but is expected to have type
-  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] [_inst_3 : Algebra.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2)] (f : σ -> S₁) (s : σ), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u1, u2} σ R _inst_1) => S₁) (MvPolynomial.X.{u2, u1} R σ _inst_1 s)) (FunLike.coe.{max (max (succ u3) (succ u1)) (succ u2), max (succ u1) (succ u2), succ u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u1, u2} σ R _inst_1) => S₁) _x) (SMulHomClass.toFunLike.{max (max u3 u1) u2, u2, max u1 u2, u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (SMulZeroClass.toSMul.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (AddMonoid.toZero.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (DistribSMul.toSMulZeroClass.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (DistribMulAction.toDistribSMul.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))))))) (SMulZeroClass.toSMul.{u2, u3} R S₁ (AddMonoid.toZero.{u3} S₁ (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (DistribSMul.toSMulZeroClass.{u2, u3} R S₁ (AddMonoid.toAddZeroClass.{u3} S₁ (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (DistribMulAction.toDistribSMul.{u2, u3} R S₁ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))))) (Module.toDistribMulAction.{u2, u3} R S₁ (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (Algebra.toModule.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3))))) (DistribMulActionHomClass.toSMulHomClass.{max (max u3 u1) u2, u2, max u1 u2, u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (Module.toDistribMulAction.{u2, u3} R S₁ (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (Algebra.toModule.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max (max u3 u1) u2, u2, max u1 u2, u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (Module.toDistribMulAction.{u2, u3} R S₁ (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (Algebra.toModule.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u2, max u1 u2, u3, max (max u3 u1) u2} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3 (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) (AlgHom.algHomClass.{u2, max u1 u2, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3))))) (MvPolynomial.aeval.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 _inst_3 f) (MvPolynomial.X.{u2, u1} R σ _inst_1 s)) (f s)
+  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] [_inst_3 : Algebra.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2)] (f : σ -> S₁) (s : σ), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : MvPolynomial.{u1, u2} σ R _inst_1) => S₁) (MvPolynomial.X.{u2, u1} R σ _inst_1 s)) (FunLike.coe.{max (max (succ u3) (succ u1)) (succ u2), max (succ u1) (succ u2), succ u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : MvPolynomial.{u1, u2} σ R _inst_1) => S₁) _x) (SMulHomClass.toFunLike.{max (max u3 u1) u2, u2, max u1 u2, u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (SMulZeroClass.toSMul.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (AddMonoid.toZero.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (DistribSMul.toSMulZeroClass.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (DistribMulAction.toDistribSMul.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))))))) (SMulZeroClass.toSMul.{u2, u3} R S₁ (AddMonoid.toZero.{u3} S₁ (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (DistribSMul.toSMulZeroClass.{u2, u3} R S₁ (AddMonoid.toAddZeroClass.{u3} S₁ (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (DistribMulAction.toDistribSMul.{u2, u3} R S₁ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))))) (Module.toDistribMulAction.{u2, u3} R S₁ (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (Algebra.toModule.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3))))) (DistribMulActionHomClass.toSMulHomClass.{max (max u3 u1) u2, u2, max u1 u2, u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (Module.toDistribMulAction.{u2, u3} R S₁ (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (Algebra.toModule.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max (max u3 u1) u2, u2, max u1 u2, u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (Module.toDistribMulAction.{u2, u3} R S₁ (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (Algebra.toModule.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u2, max u1 u2, u3, max (max u3 u1) u2} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3 (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) (AlgHom.algHomClass.{u2, max u1 u2, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3))))) (MvPolynomial.aeval.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 _inst_3 f) (MvPolynomial.X.{u2, u1} R σ _inst_1 s)) (f s)
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.aeval_X MvPolynomial.aeval_Xₓ'. -/
 @[simp]
 theorem aeval_X (s : σ) : aeval f (X s : MvPolynomial _ R) = f s :=
@@ -2552,7 +2552,7 @@ theorem aeval_X (s : σ) : aeval f (X s : MvPolynomial _ R) = f s :=
 lean 3 declaration is
   forall {R : Type.{u1}} {S₁ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] [_inst_3 : Algebra.{u1, u2} R S₁ _inst_1 (CommSemiring.toSemiring.{u2} S₁ _inst_2)] (f : σ -> S₁) (r : R), Eq.{succ u2} S₁ (coeFn.{max (succ (max u3 u1)) (succ u2), max (succ (max u3 u1)) (succ u2)} (AlgHom.{u1, max u3 u1, u2} R (MvPolynomial.{u3, u1} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (CommSemiring.toSemiring.{u2} S₁ _inst_2) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_3) (fun (_x : AlgHom.{u1, max u3 u1, u2} R (MvPolynomial.{u3, u1} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (CommSemiring.toSemiring.{u2} S₁ _inst_2) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_3) => (MvPolynomial.{u3, u1} σ R _inst_1) -> S₁) ([anonymous].{u1, max u3 u1, u2} R (MvPolynomial.{u3, u1} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (CommSemiring.toSemiring.{u2} S₁ _inst_2) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_3) (MvPolynomial.aeval.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 _inst_3 f) (coeFn.{max (succ u1) (succ (max u3 u1)), max (succ u1) (succ (max u3 u1))} (RingHom.{u1, max u3 u1} R (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)))) (fun (_x : RingHom.{u1, max u3 u1} R (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)))) => R -> (MvPolynomial.{u3, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{u1, max u3 u1} R (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)))) (MvPolynomial.C.{u1, u3} R σ _inst_1) r)) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (fun (_x : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) => R -> S₁) (RingHom.hasCoeToFun.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (algebraMap.{u1, u2} R S₁ _inst_1 (CommSemiring.toSemiring.{u2} S₁ _inst_2) _inst_3) r)
 but is expected to have type
-  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] [_inst_3 : Algebra.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2)] (f : σ -> S₁) (r : R), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u1, u2} σ R _inst_1) => S₁) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (a : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) r)) (FunLike.coe.{max (max (succ u3) (succ u1)) (succ u2), max (succ u1) (succ u2), succ u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u1, u2} σ R _inst_1) => S₁) _x) (SMulHomClass.toFunLike.{max (max u3 u1) u2, u2, max u1 u2, u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (SMulZeroClass.toSMul.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (AddMonoid.toZero.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (DistribSMul.toSMulZeroClass.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (DistribMulAction.toDistribSMul.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))))))) (SMulZeroClass.toSMul.{u2, u3} R S₁ (AddMonoid.toZero.{u3} S₁ (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (DistribSMul.toSMulZeroClass.{u2, u3} R S₁ (AddMonoid.toAddZeroClass.{u3} S₁ (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (DistribMulAction.toDistribSMul.{u2, u3} R S₁ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))))) (Module.toDistribMulAction.{u2, u3} R S₁ (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (Algebra.toModule.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3))))) (DistribMulActionHomClass.toSMulHomClass.{max (max u3 u1) u2, u2, max u1 u2, u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (Module.toDistribMulAction.{u2, u3} R S₁ (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (Algebra.toModule.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max (max u3 u1) u2, u2, max u1 u2, u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (Module.toDistribMulAction.{u2, u3} R S₁ (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (Algebra.toModule.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u2, max u1 u2, u3, max (max u3 u1) u2} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3 (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) (AlgHom.algHomClass.{u2, max u1 u2, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3))))) (MvPolynomial.aeval.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 _inst_3 f) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) r)) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) _x) (MulHomClass.toFunLike.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (algebraMap.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3) r)
+  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] [_inst_3 : Algebra.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2)] (f : σ -> S₁) (r : R), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : MvPolynomial.{u1, u2} σ R _inst_1) => S₁) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (a : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) r)) (FunLike.coe.{max (max (succ u3) (succ u1)) (succ u2), max (succ u1) (succ u2), succ u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : MvPolynomial.{u1, u2} σ R _inst_1) => S₁) _x) (SMulHomClass.toFunLike.{max (max u3 u1) u2, u2, max u1 u2, u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (SMulZeroClass.toSMul.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (AddMonoid.toZero.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (DistribSMul.toSMulZeroClass.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (DistribMulAction.toDistribSMul.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))))))) (SMulZeroClass.toSMul.{u2, u3} R S₁ (AddMonoid.toZero.{u3} S₁ (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (DistribSMul.toSMulZeroClass.{u2, u3} R S₁ (AddMonoid.toAddZeroClass.{u3} S₁ (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (DistribMulAction.toDistribSMul.{u2, u3} R S₁ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))))) (Module.toDistribMulAction.{u2, u3} R S₁ (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (Algebra.toModule.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3))))) (DistribMulActionHomClass.toSMulHomClass.{max (max u3 u1) u2, u2, max u1 u2, u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (Module.toDistribMulAction.{u2, u3} R S₁ (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (Algebra.toModule.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max (max u3 u1) u2, u2, max u1 u2, u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (Module.toDistribMulAction.{u2, u3} R S₁ (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (Algebra.toModule.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u2, max u1 u2, u3, max (max u3 u1) u2} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3 (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) (AlgHom.algHomClass.{u2, max u1 u2, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3))))) (MvPolynomial.aeval.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 _inst_3 f) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) r)) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) _x) (MulHomClass.toFunLike.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (algebraMap.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3) r)
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.aeval_C MvPolynomial.aeval_Cₓ'. -/
 @[simp]
 theorem aeval_C (r : R) : aeval f (C r) = algebraMap R S₁ r :=
@@ -2563,7 +2563,7 @@ theorem aeval_C (r : R) : aeval f (C r) = algebraMap R S₁ r :=
 lean 3 declaration is
   forall {R : Type.{u1}} {S₁ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] [_inst_3 : Algebra.{u1, u2} R S₁ _inst_1 (CommSemiring.toSemiring.{u2} S₁ _inst_2)] (φ : AlgHom.{u1, max u3 u1, u2} R (MvPolynomial.{u3, u1} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (CommSemiring.toSemiring.{u2} S₁ _inst_2) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_3), Eq.{max (succ (max u3 u1)) (succ u2)} (AlgHom.{u1, max u3 u1, u2} R (MvPolynomial.{u3, u1} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (CommSemiring.toSemiring.{u2} S₁ _inst_2) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_3) φ (MvPolynomial.aeval.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 _inst_3 (Function.comp.{succ u3, max (succ u3) (succ u1), succ u2} σ (MvPolynomial.{u3, u1} σ R _inst_1) S₁ (coeFn.{max (succ (max u3 u1)) (succ u2), max (succ (max u3 u1)) (succ u2)} (AlgHom.{u1, max u3 u1, u2} R (MvPolynomial.{u3, u1} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (CommSemiring.toSemiring.{u2} S₁ _inst_2) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_3) (fun (_x : AlgHom.{u1, max u3 u1, u2} R (MvPolynomial.{u3, u1} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (CommSemiring.toSemiring.{u2} S₁ _inst_2) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_3) => (MvPolynomial.{u3, u1} σ R _inst_1) -> S₁) ([anonymous].{u1, max u3 u1, u2} R (MvPolynomial.{u3, u1} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (CommSemiring.toSemiring.{u2} S₁ _inst_2) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_3) φ) (MvPolynomial.X.{u1, u3} R σ _inst_1)))
 but is expected to have type
-  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] [_inst_3 : Algebra.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2)] (φ : AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3), Eq.{max (max (succ u2) (succ u3)) (succ u1)} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) φ (MvPolynomial.aeval.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 _inst_3 (Function.comp.{succ u1, max (succ u2) (succ u1), succ u3} σ (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u2) (succ u1), succ u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u1, u2} σ R _inst_1) => S₁) _x) (SMulHomClass.toFunLike.{max (max u2 u3) u1, u2, max u2 u1, u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (SMulZeroClass.toSMul.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (AddMonoid.toZero.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (DistribSMul.toSMulZeroClass.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (DistribMulAction.toDistribSMul.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (Module.toDistribMulAction.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))))))) (SMulZeroClass.toSMul.{u2, u3} R S₁ (AddMonoid.toZero.{u3} S₁ (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (DistribSMul.toSMulZeroClass.{u2, u3} R S₁ (AddMonoid.toAddZeroClass.{u3} S₁ (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (DistribMulAction.toDistribSMul.{u2, u3} R S₁ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))))) (Module.toDistribMulAction.{u2, u3} R S₁ (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (Algebra.toModule.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3))))) (DistribMulActionHomClass.toSMulHomClass.{max (max u2 u3) u1, u2, max u2 u1, u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))))) (Module.toDistribMulAction.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (Module.toDistribMulAction.{u2, u3} R S₁ (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (Algebra.toModule.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max (max u2 u3) u1, u2, max u2 u1, u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (Module.toDistribMulAction.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (Module.toDistribMulAction.{u2, u3} R S₁ (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (Algebra.toModule.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u2, max u2 u1, u3, max (max u2 u3) u1} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3 (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) (AlgHom.algHomClass.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3))))) φ) (MvPolynomial.X.{u2, u1} R σ _inst_1)))
+  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] [_inst_3 : Algebra.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2)] (φ : AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3), Eq.{max (max (succ u2) (succ u3)) (succ u1)} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) φ (MvPolynomial.aeval.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 _inst_3 (Function.comp.{succ u1, max (succ u2) (succ u1), succ u3} σ (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u2) (succ u1), succ u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : MvPolynomial.{u1, u2} σ R _inst_1) => S₁) _x) (SMulHomClass.toFunLike.{max (max u2 u3) u1, u2, max u2 u1, u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (SMulZeroClass.toSMul.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (AddMonoid.toZero.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (DistribSMul.toSMulZeroClass.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (DistribMulAction.toDistribSMul.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (Module.toDistribMulAction.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))))))) (SMulZeroClass.toSMul.{u2, u3} R S₁ (AddMonoid.toZero.{u3} S₁ (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (DistribSMul.toSMulZeroClass.{u2, u3} R S₁ (AddMonoid.toAddZeroClass.{u3} S₁ (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (DistribMulAction.toDistribSMul.{u2, u3} R S₁ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))))) (Module.toDistribMulAction.{u2, u3} R S₁ (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (Algebra.toModule.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3))))) (DistribMulActionHomClass.toSMulHomClass.{max (max u2 u3) u1, u2, max u2 u1, u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))))) (Module.toDistribMulAction.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (Module.toDistribMulAction.{u2, u3} R S₁ (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (Algebra.toModule.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max (max u2 u3) u1, u2, max u2 u1, u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (Module.toDistribMulAction.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (Module.toDistribMulAction.{u2, u3} R S₁ (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (Algebra.toModule.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u2, max u2 u1, u3, max (max u2 u3) u1} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3 (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) (AlgHom.algHomClass.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3))))) φ) (MvPolynomial.X.{u2, u1} R σ _inst_1)))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.aeval_unique MvPolynomial.aeval_uniqueₓ'. -/
 theorem aeval_unique (φ : MvPolynomial σ R →ₐ[R] S₁) : φ = aeval (φ ∘ X) :=
   by
@@ -2585,7 +2585,7 @@ theorem aeval_X_left : aeval X = AlgHom.id R (MvPolynomial σ R) :=
 lean 3 declaration is
   forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] (p : MvPolynomial.{u2, u1} σ R _inst_1), Eq.{max (succ u2) (succ u1)} (MvPolynomial.{u2, u1} σ R _inst_1) (coeFn.{succ (max u2 u1), succ (max u2 u1)} (AlgHom.{u1, max u2 u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1))) (fun (_x : AlgHom.{u1, max u2 u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1))) => (MvPolynomial.{u2, u1} σ R _inst_1) -> (MvPolynomial.{u2, u1} σ R _inst_1)) ([anonymous].{u1, max u2 u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1))) (MvPolynomial.aeval.{u1, max u2 u1, u2} R (MvPolynomial.{u2, u1} σ R _inst_1) σ _inst_1 (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) (MvPolynomial.X.{u1, u2} R σ _inst_1)) p) p
 but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] (p : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u2} σ R _inst_1) p) (FunLike.coe.{max (succ u2) (succ u1), max (succ u2) (succ u1), max (succ u1) (succ u2)} (AlgHom.{u2, max u2 u1, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (SMulHomClass.toFunLike.{max u2 u1, u2, max u2 u1, max u1 u2} (AlgHom.{u2, max u2 u1, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (SMulZeroClass.toSMul.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (AddMonoid.toZero.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (DistribSMul.toSMulZeroClass.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (DistribMulAction.toDistribSMul.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (Module.toDistribMulAction.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))))))) (SMulZeroClass.toSMul.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (AddMonoid.toZero.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (DistribSMul.toSMulZeroClass.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (DistribMulAction.toDistribSMul.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))))))) (DistribMulActionHomClass.toSMulHomClass.{max u2 u1, u2, max u2 u1, max u1 u2} (AlgHom.{u2, max u2 u1, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (Module.toDistribMulAction.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max u2 u1, u2, max u2 u1, max u1 u2} (AlgHom.{u2, max u2 u1, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (Module.toDistribMulAction.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u2, max u2 u1, max u1 u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (AlgHom.{u2, max u2 u1, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) (AlgHom.algHomClass.{u2, max u2 u1, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))))))) (MvPolynomial.aeval.{u2, max u1 u2, u1} R (MvPolynomial.{u1, u2} σ R _inst_1) σ _inst_1 (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.X.{u2, u1} R σ _inst_1)) p) p
+  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] (p : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u2} σ R _inst_1) p) (FunLike.coe.{max (succ u2) (succ u1), max (succ u2) (succ u1), max (succ u1) (succ u2)} (AlgHom.{u2, max u2 u1, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (SMulHomClass.toFunLike.{max u2 u1, u2, max u2 u1, max u1 u2} (AlgHom.{u2, max u2 u1, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (SMulZeroClass.toSMul.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (AddMonoid.toZero.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (DistribSMul.toSMulZeroClass.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (DistribMulAction.toDistribSMul.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (Module.toDistribMulAction.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))))))) (SMulZeroClass.toSMul.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (AddMonoid.toZero.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (DistribSMul.toSMulZeroClass.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (DistribMulAction.toDistribSMul.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))))))) (DistribMulActionHomClass.toSMulHomClass.{max u2 u1, u2, max u2 u1, max u1 u2} (AlgHom.{u2, max u2 u1, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (Module.toDistribMulAction.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max u2 u1, u2, max u2 u1, max u1 u2} (AlgHom.{u2, max u2 u1, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (Module.toDistribMulAction.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u2, max u2 u1, max u1 u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (AlgHom.{u2, max u2 u1, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) (AlgHom.algHomClass.{u2, max u2 u1, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))))))) (MvPolynomial.aeval.{u2, max u1 u2, u1} R (MvPolynomial.{u1, u2} σ R _inst_1) σ _inst_1 (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.X.{u2, u1} R σ _inst_1)) p) p
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.aeval_X_left_apply MvPolynomial.aeval_X_left_applyₓ'. -/
 theorem aeval_X_left_apply (p : MvPolynomial σ R) : aeval X p = p :=
   AlgHom.congr_fun aeval_X_left p
@@ -2595,7 +2595,7 @@ theorem aeval_X_left_apply (p : MvPolynomial σ R) : aeval X p = p :=
 lean 3 declaration is
   forall {R : Type.{u1}} {S₁ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] [_inst_3 : Algebra.{u1, u2} R S₁ _inst_1 (CommSemiring.toSemiring.{u2} S₁ _inst_2)] (f : σ -> S₁) {B : Type.{u4}} [_inst_5 : CommSemiring.{u4} B] [_inst_6 : Algebra.{u1, u4} R B _inst_1 (CommSemiring.toSemiring.{u4} B _inst_5)] (φ : AlgHom.{u1, u2, u4} R S₁ B _inst_1 (CommSemiring.toSemiring.{u2} S₁ _inst_2) (CommSemiring.toSemiring.{u4} B _inst_5) _inst_3 _inst_6), Eq.{max (succ (max u3 u1)) (succ u4)} (AlgHom.{u1, max u3 u1, u4} R (MvPolynomial.{u3, u1} σ R _inst_1) B _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (CommSemiring.toSemiring.{u4} B _inst_5) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_6) (AlgHom.comp.{u1, max u3 u1, u2, u4} R (MvPolynomial.{u3, u1} σ R _inst_1) S₁ B _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (CommSemiring.toSemiring.{u2} S₁ _inst_2) (CommSemiring.toSemiring.{u4} B _inst_5) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_3 _inst_6 φ (MvPolynomial.aeval.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 _inst_3 f)) (MvPolynomial.aeval.{u1, u4, u3} R B σ _inst_1 _inst_5 _inst_6 (fun (i : σ) => coeFn.{max (succ u2) (succ u4), max (succ u2) (succ u4)} (AlgHom.{u1, u2, u4} R S₁ B _inst_1 (CommSemiring.toSemiring.{u2} S₁ _inst_2) (CommSemiring.toSemiring.{u4} B _inst_5) _inst_3 _inst_6) (fun (_x : AlgHom.{u1, u2, u4} R S₁ B _inst_1 (CommSemiring.toSemiring.{u2} S₁ _inst_2) (CommSemiring.toSemiring.{u4} B _inst_5) _inst_3 _inst_6) => S₁ -> B) ([anonymous].{u1, u2, u4} R S₁ B _inst_1 (CommSemiring.toSemiring.{u2} S₁ _inst_2) (CommSemiring.toSemiring.{u4} B _inst_5) _inst_3 _inst_6) φ (f i)))
 but is expected to have type
-  forall {R : Type.{u3}} {S₁ : Type.{u4}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u3} R] [_inst_2 : CommSemiring.{u4} S₁] [_inst_3 : Algebra.{u3, u4} R S₁ _inst_1 (CommSemiring.toSemiring.{u4} S₁ _inst_2)] (f : σ -> S₁) {B : Type.{u2}} [_inst_5 : CommSemiring.{u2} B] [_inst_6 : Algebra.{u3, u2} R B _inst_1 (CommSemiring.toSemiring.{u2} B _inst_5)] (φ : AlgHom.{u3, u4, u2} R S₁ B _inst_1 (CommSemiring.toSemiring.{u4} S₁ _inst_2) (CommSemiring.toSemiring.{u2} B _inst_5) _inst_3 _inst_6), Eq.{max (max (succ u3) (succ u1)) (succ u2)} (AlgHom.{u3, max u3 u1, u2} R (MvPolynomial.{u1, u3} σ R _inst_1) B _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u2} B _inst_5) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_6) (AlgHom.comp.{u3, max u3 u1, u4, u2} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ B _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (CommSemiring.toSemiring.{u2} B _inst_5) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3 _inst_6 φ (MvPolynomial.aeval.{u3, u4, u1} R S₁ σ _inst_1 _inst_2 _inst_3 f)) (MvPolynomial.aeval.{u3, u2, u1} R B σ _inst_1 _inst_5 _inst_6 (fun (i : σ) => FunLike.coe.{max (succ u4) (succ u2), succ u4, succ u2} (AlgHom.{u3, u4, u2} R S₁ B _inst_1 (CommSemiring.toSemiring.{u4} S₁ _inst_2) (CommSemiring.toSemiring.{u2} B _inst_5) _inst_3 _inst_6) S₁ (fun (_x : S₁) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : S₁) => B) _x) (SMulHomClass.toFunLike.{max u4 u2, u3, u4, u2} (AlgHom.{u3, u4, u2} R S₁ B _inst_1 (CommSemiring.toSemiring.{u4} S₁ _inst_2) (CommSemiring.toSemiring.{u2} B _inst_5) _inst_3 _inst_6) R S₁ B (SMulZeroClass.toSMul.{u3, u4} R S₁ (AddMonoid.toZero.{u4} S₁ (AddCommMonoid.toAddMonoid.{u4} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))))) (DistribSMul.toSMulZeroClass.{u3, u4} R S₁ (AddMonoid.toAddZeroClass.{u4} S₁ (AddCommMonoid.toAddMonoid.{u4} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))))) (DistribMulAction.toDistribSMul.{u3, u4} R S₁ (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (AddCommMonoid.toAddMonoid.{u4} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2))))) (Module.toDistribMulAction.{u3, u4} R S₁ (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))) (Algebra.toModule.{u3, u4} R S₁ _inst_1 (CommSemiring.toSemiring.{u4} S₁ _inst_2) _inst_3))))) (SMulZeroClass.toSMul.{u3, u2} R B (AddMonoid.toZero.{u2} B (AddCommMonoid.toAddMonoid.{u2} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5)))))) (DistribSMul.toSMulZeroClass.{u3, u2} R B (AddMonoid.toAddZeroClass.{u2} B (AddCommMonoid.toAddMonoid.{u2} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5)))))) (DistribMulAction.toDistribSMul.{u3, u2} R B (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (AddCommMonoid.toAddMonoid.{u2} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5))))) (Module.toDistribMulAction.{u3, u2} R B (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5)))) (Algebra.toModule.{u3, u2} R B _inst_1 (CommSemiring.toSemiring.{u2} B _inst_5) _inst_6))))) (DistribMulActionHomClass.toSMulHomClass.{max u4 u2, u3, u4, u2} (AlgHom.{u3, u4, u2} R S₁ B _inst_1 (CommSemiring.toSemiring.{u4} S₁ _inst_2) (CommSemiring.toSemiring.{u2} B _inst_5) _inst_3 _inst_6) R S₁ B (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (AddCommMonoid.toAddMonoid.{u4} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2))))) (AddCommMonoid.toAddMonoid.{u2} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5))))) (Module.toDistribMulAction.{u3, u4} R S₁ (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))) (Algebra.toModule.{u3, u4} R S₁ _inst_1 (CommSemiring.toSemiring.{u4} S₁ _inst_2) _inst_3)) (Module.toDistribMulAction.{u3, u2} R B (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5)))) (Algebra.toModule.{u3, u2} R B _inst_1 (CommSemiring.toSemiring.{u2} B _inst_5) _inst_6)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max u4 u2, u3, u4, u2} (AlgHom.{u3, u4, u2} R S₁ B _inst_1 (CommSemiring.toSemiring.{u4} S₁ _inst_2) (CommSemiring.toSemiring.{u2} B _inst_5) _inst_3 _inst_6) R S₁ B (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5))) (Module.toDistribMulAction.{u3, u4} R S₁ (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))) (Algebra.toModule.{u3, u4} R S₁ _inst_1 (CommSemiring.toSemiring.{u4} S₁ _inst_2) _inst_3)) (Module.toDistribMulAction.{u3, u2} R B (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5)))) (Algebra.toModule.{u3, u2} R B _inst_1 (CommSemiring.toSemiring.{u2} B _inst_5) _inst_6)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u3, u4, u2, max u4 u2} R S₁ B _inst_1 (CommSemiring.toSemiring.{u4} S₁ _inst_2) (CommSemiring.toSemiring.{u2} B _inst_5) _inst_3 _inst_6 (AlgHom.{u3, u4, u2} R S₁ B _inst_1 (CommSemiring.toSemiring.{u4} S₁ _inst_2) (CommSemiring.toSemiring.{u2} B _inst_5) _inst_3 _inst_6) (AlgHom.algHomClass.{u3, u4, u2} R S₁ B _inst_1 (CommSemiring.toSemiring.{u4} S₁ _inst_2) (CommSemiring.toSemiring.{u2} B _inst_5) _inst_3 _inst_6))))) φ (f i)))
+  forall {R : Type.{u3}} {S₁ : Type.{u4}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u3} R] [_inst_2 : CommSemiring.{u4} S₁] [_inst_3 : Algebra.{u3, u4} R S₁ _inst_1 (CommSemiring.toSemiring.{u4} S₁ _inst_2)] (f : σ -> S₁) {B : Type.{u2}} [_inst_5 : CommSemiring.{u2} B] [_inst_6 : Algebra.{u3, u2} R B _inst_1 (CommSemiring.toSemiring.{u2} B _inst_5)] (φ : AlgHom.{u3, u4, u2} R S₁ B _inst_1 (CommSemiring.toSemiring.{u4} S₁ _inst_2) (CommSemiring.toSemiring.{u2} B _inst_5) _inst_3 _inst_6), Eq.{max (max (succ u3) (succ u1)) (succ u2)} (AlgHom.{u3, max u3 u1, u2} R (MvPolynomial.{u1, u3} σ R _inst_1) B _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u2} B _inst_5) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_6) (AlgHom.comp.{u3, max u3 u1, u4, u2} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ B _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (CommSemiring.toSemiring.{u2} B _inst_5) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3 _inst_6 φ (MvPolynomial.aeval.{u3, u4, u1} R S₁ σ _inst_1 _inst_2 _inst_3 f)) (MvPolynomial.aeval.{u3, u2, u1} R B σ _inst_1 _inst_5 _inst_6 (fun (i : σ) => FunLike.coe.{max (succ u4) (succ u2), succ u4, succ u2} (AlgHom.{u3, u4, u2} R S₁ B _inst_1 (CommSemiring.toSemiring.{u4} S₁ _inst_2) (CommSemiring.toSemiring.{u2} B _inst_5) _inst_3 _inst_6) S₁ (fun (_x : S₁) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : S₁) => B) _x) (SMulHomClass.toFunLike.{max u4 u2, u3, u4, u2} (AlgHom.{u3, u4, u2} R S₁ B _inst_1 (CommSemiring.toSemiring.{u4} S₁ _inst_2) (CommSemiring.toSemiring.{u2} B _inst_5) _inst_3 _inst_6) R S₁ B (SMulZeroClass.toSMul.{u3, u4} R S₁ (AddMonoid.toZero.{u4} S₁ (AddCommMonoid.toAddMonoid.{u4} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))))) (DistribSMul.toSMulZeroClass.{u3, u4} R S₁ (AddMonoid.toAddZeroClass.{u4} S₁ (AddCommMonoid.toAddMonoid.{u4} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))))) (DistribMulAction.toDistribSMul.{u3, u4} R S₁ (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (AddCommMonoid.toAddMonoid.{u4} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2))))) (Module.toDistribMulAction.{u3, u4} R S₁ (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))) (Algebra.toModule.{u3, u4} R S₁ _inst_1 (CommSemiring.toSemiring.{u4} S₁ _inst_2) _inst_3))))) (SMulZeroClass.toSMul.{u3, u2} R B (AddMonoid.toZero.{u2} B (AddCommMonoid.toAddMonoid.{u2} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5)))))) (DistribSMul.toSMulZeroClass.{u3, u2} R B (AddMonoid.toAddZeroClass.{u2} B (AddCommMonoid.toAddMonoid.{u2} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5)))))) (DistribMulAction.toDistribSMul.{u3, u2} R B (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (AddCommMonoid.toAddMonoid.{u2} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5))))) (Module.toDistribMulAction.{u3, u2} R B (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5)))) (Algebra.toModule.{u3, u2} R B _inst_1 (CommSemiring.toSemiring.{u2} B _inst_5) _inst_6))))) (DistribMulActionHomClass.toSMulHomClass.{max u4 u2, u3, u4, u2} (AlgHom.{u3, u4, u2} R S₁ B _inst_1 (CommSemiring.toSemiring.{u4} S₁ _inst_2) (CommSemiring.toSemiring.{u2} B _inst_5) _inst_3 _inst_6) R S₁ B (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (AddCommMonoid.toAddMonoid.{u4} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2))))) (AddCommMonoid.toAddMonoid.{u2} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5))))) (Module.toDistribMulAction.{u3, u4} R S₁ (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))) (Algebra.toModule.{u3, u4} R S₁ _inst_1 (CommSemiring.toSemiring.{u4} S₁ _inst_2) _inst_3)) (Module.toDistribMulAction.{u3, u2} R B (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5)))) (Algebra.toModule.{u3, u2} R B _inst_1 (CommSemiring.toSemiring.{u2} B _inst_5) _inst_6)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max u4 u2, u3, u4, u2} (AlgHom.{u3, u4, u2} R S₁ B _inst_1 (CommSemiring.toSemiring.{u4} S₁ _inst_2) (CommSemiring.toSemiring.{u2} B _inst_5) _inst_3 _inst_6) R S₁ B (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5))) (Module.toDistribMulAction.{u3, u4} R S₁ (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))) (Algebra.toModule.{u3, u4} R S₁ _inst_1 (CommSemiring.toSemiring.{u4} S₁ _inst_2) _inst_3)) (Module.toDistribMulAction.{u3, u2} R B (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5)))) (Algebra.toModule.{u3, u2} R B _inst_1 (CommSemiring.toSemiring.{u2} B _inst_5) _inst_6)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u3, u4, u2, max u4 u2} R S₁ B _inst_1 (CommSemiring.toSemiring.{u4} S₁ _inst_2) (CommSemiring.toSemiring.{u2} B _inst_5) _inst_3 _inst_6 (AlgHom.{u3, u4, u2} R S₁ B _inst_1 (CommSemiring.toSemiring.{u4} S₁ _inst_2) (CommSemiring.toSemiring.{u2} B _inst_5) _inst_3 _inst_6) (AlgHom.algHomClass.{u3, u4, u2} R S₁ B _inst_1 (CommSemiring.toSemiring.{u4} S₁ _inst_2) (CommSemiring.toSemiring.{u2} B _inst_5) _inst_3 _inst_6))))) φ (f i)))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.comp_aeval MvPolynomial.comp_aevalₓ'. -/
 theorem comp_aeval {B : Type _} [CommSemiring B] [Algebra R B] (φ : S₁ →ₐ[R] B) :
     φ.comp (aeval f) = aeval fun i => φ (f i) :=
@@ -2608,7 +2608,7 @@ theorem comp_aeval {B : Type _} [CommSemiring B] [Algebra R B] (φ : S₁ →ₐ
 lean 3 declaration is
   forall {R : Type.{u1}} {S₁ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] [_inst_3 : Algebra.{u1, u2} R S₁ _inst_1 (CommSemiring.toSemiring.{u2} S₁ _inst_2)] {B : Type.{u4}} [_inst_5 : CommSemiring.{u4} B] (g : σ -> S₁) (φ : RingHom.{u2, u4} S₁ B (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} B (CommSemiring.toSemiring.{u4} B _inst_5))) (p : MvPolynomial.{u3, u1} σ R _inst_1), Eq.{succ u4} B (coeFn.{max (succ u2) (succ u4), max (succ u2) (succ u4)} (RingHom.{u2, u4} S₁ B (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} B (CommSemiring.toSemiring.{u4} B _inst_5))) (fun (_x : RingHom.{u2, u4} S₁ B (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} B (CommSemiring.toSemiring.{u4} B _inst_5))) => S₁ -> B) (RingHom.hasCoeToFun.{u2, u4} S₁ B (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} B (CommSemiring.toSemiring.{u4} B _inst_5))) φ (coeFn.{max (succ (max u3 u1)) (succ u2), max (succ (max u3 u1)) (succ u2)} (AlgHom.{u1, max u3 u1, u2} R (MvPolynomial.{u3, u1} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (CommSemiring.toSemiring.{u2} S₁ _inst_2) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_3) (fun (_x : AlgHom.{u1, max u3 u1, u2} R (MvPolynomial.{u3, u1} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (CommSemiring.toSemiring.{u2} S₁ _inst_2) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_3) => (MvPolynomial.{u3, u1} σ R _inst_1) -> S₁) ([anonymous].{u1, max u3 u1, u2} R (MvPolynomial.{u3, u1} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (CommSemiring.toSemiring.{u2} S₁ _inst_2) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_3) (MvPolynomial.aeval.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 _inst_3 g) p)) (coeFn.{max (succ (max u3 u1)) (succ u4), max (succ (max u3 u1)) (succ u4)} (RingHom.{max u3 u1, u4} (MvPolynomial.{u3, u1} σ R _inst_1) B (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u4} B (CommSemiring.toSemiring.{u4} B _inst_5))) (fun (_x : RingHom.{max u3 u1, u4} (MvPolynomial.{u3, u1} σ R _inst_1) B (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u4} B (CommSemiring.toSemiring.{u4} B _inst_5))) => (MvPolynomial.{u3, u1} σ R _inst_1) -> B) (RingHom.hasCoeToFun.{max u3 u1, u4} (MvPolynomial.{u3, u1} σ R _inst_1) B (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u4} B (CommSemiring.toSemiring.{u4} B _inst_5))) (MvPolynomial.eval₂Hom.{u1, u4, u3} R B σ _inst_1 _inst_5 (RingHom.comp.{u1, u2, u4} R S₁ B (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} B (CommSemiring.toSemiring.{u4} B _inst_5)) φ (algebraMap.{u1, u2} R S₁ _inst_1 (CommSemiring.toSemiring.{u2} S₁ _inst_2) _inst_3)) (fun (i : σ) => coeFn.{max (succ u2) (succ u4), max (succ u2) (succ u4)} (RingHom.{u2, u4} S₁ B (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} B (CommSemiring.toSemiring.{u4} B _inst_5))) (fun (_x : RingHom.{u2, u4} S₁ B (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} B (CommSemiring.toSemiring.{u4} B _inst_5))) => S₁ -> B) (RingHom.hasCoeToFun.{u2, u4} S₁ B (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} B (CommSemiring.toSemiring.{u4} B _inst_5))) φ (g i))) p)
 but is expected to have type
-  forall {R : Type.{u3}} {S₁ : Type.{u4}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u3} R] [_inst_2 : CommSemiring.{u4} S₁] [_inst_3 : Algebra.{u3, u4} R S₁ _inst_1 (CommSemiring.toSemiring.{u4} S₁ _inst_2)] {B : Type.{u2}} [_inst_5 : CommSemiring.{u2} B] (g : σ -> S₁) (φ : RingHom.{u4, u2} S₁ B (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5))) (p : MvPolynomial.{u1, u3} σ R _inst_1), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : S₁) => B) (FunLike.coe.{max (max (succ u4) (succ u1)) (succ u3), max (succ u1) (succ u3), succ u4} (AlgHom.{u3, max u3 u1, u4} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3) (MvPolynomial.{u1, u3} σ R _inst_1) (fun (a : MvPolynomial.{u1, u3} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u1, u3} σ R _inst_1) => S₁) a) (SMulHomClass.toFunLike.{max (max u4 u1) u3, u3, max u1 u3, u4} (AlgHom.{u3, max u3 u1, u4} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ (SMulZeroClass.toSMul.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (AddMonoid.toZero.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))))) (DistribSMul.toSMulZeroClass.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))))) (DistribMulAction.toDistribSMul.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))))) (Module.toDistribMulAction.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Algebra.toModule.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1))))))) (SMulZeroClass.toSMul.{u3, u4} R S₁ (AddMonoid.toZero.{u4} S₁ (AddCommMonoid.toAddMonoid.{u4} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))))) (DistribSMul.toSMulZeroClass.{u3, u4} R S₁ (AddMonoid.toAddZeroClass.{u4} S₁ (AddCommMonoid.toAddMonoid.{u4} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))))) (DistribMulAction.toDistribSMul.{u3, u4} R S₁ (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (AddCommMonoid.toAddMonoid.{u4} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2))))) (Module.toDistribMulAction.{u3, u4} R S₁ (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))) (Algebra.toModule.{u3, u4} R S₁ _inst_1 (CommSemiring.toSemiring.{u4} S₁ _inst_2) _inst_3))))) (DistribMulActionHomClass.toSMulHomClass.{max (max u4 u1) u3, u3, max u1 u3, u4} (AlgHom.{u3, max u3 u1, u4} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))))) (AddCommMonoid.toAddMonoid.{u4} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2))))) (Module.toDistribMulAction.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Algebra.toModule.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)))) (Module.toDistribMulAction.{u3, u4} R S₁ (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))) (Algebra.toModule.{u3, u4} R S₁ _inst_1 (CommSemiring.toSemiring.{u4} S₁ _inst_2) _inst_3)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max (max u4 u1) u3, u3, max u1 u3, u4} (AlgHom.{u3, max u3 u1, u4} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2))) (Module.toDistribMulAction.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Algebra.toModule.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)))) (Module.toDistribMulAction.{u3, u4} R S₁ (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))) (Algebra.toModule.{u3, u4} R S₁ _inst_1 (CommSemiring.toSemiring.{u4} S₁ _inst_2) _inst_3)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u3, max u1 u3, u4, max (max u4 u1) u3} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3 (AlgHom.{u3, max u3 u1, u4} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3) (AlgHom.algHomClass.{u3, max u1 u3, u4} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3))))) (MvPolynomial.aeval.{u3, u4, u1} R S₁ σ _inst_1 _inst_2 _inst_3 g) p)) (FunLike.coe.{max (succ u4) (succ u2), succ u4, succ u2} (RingHom.{u4, u2} S₁ B (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5))) S₁ (fun (_x : S₁) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : S₁) => B) _x) (MulHomClass.toFunLike.{max u4 u2, u4, u2} (RingHom.{u4, u2} S₁ B (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5))) S₁ B (NonUnitalNonAssocSemiring.toMul.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))) (NonUnitalNonAssocSemiring.toMul.{u2} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5)))) (NonUnitalRingHomClass.toMulHomClass.{max u4 u2, u4, u2} (RingHom.{u4, u2} S₁ B (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5))) S₁ B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5))) (RingHomClass.toNonUnitalRingHomClass.{max u4 u2, u4, u2} (RingHom.{u4, u2} S₁ B (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5))) S₁ B (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5)) (RingHom.instRingHomClassRingHom.{u4, u2} S₁ B (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5)))))) φ (FunLike.coe.{max (max (succ u4) (succ u1)) (succ u3), max (succ u1) (succ u3), succ u4} (AlgHom.{u3, max u3 u1, u4} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3) (MvPolynomial.{u1, u3} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u3} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u1, u3} σ R _inst_1) => S₁) _x) (SMulHomClass.toFunLike.{max (max u4 u1) u3, u3, max u1 u3, u4} (AlgHom.{u3, max u3 u1, u4} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ (SMulZeroClass.toSMul.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (AddMonoid.toZero.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))))) (DistribSMul.toSMulZeroClass.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))))) (DistribMulAction.toDistribSMul.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))))) (Module.toDistribMulAction.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Algebra.toModule.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1))))))) (SMulZeroClass.toSMul.{u3, u4} R S₁ (AddMonoid.toZero.{u4} S₁ (AddCommMonoid.toAddMonoid.{u4} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))))) (DistribSMul.toSMulZeroClass.{u3, u4} R S₁ (AddMonoid.toAddZeroClass.{u4} S₁ (AddCommMonoid.toAddMonoid.{u4} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))))) (DistribMulAction.toDistribSMul.{u3, u4} R S₁ (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (AddCommMonoid.toAddMonoid.{u4} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2))))) (Module.toDistribMulAction.{u3, u4} R S₁ (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))) (Algebra.toModule.{u3, u4} R S₁ _inst_1 (CommSemiring.toSemiring.{u4} S₁ _inst_2) _inst_3))))) (DistribMulActionHomClass.toSMulHomClass.{max (max u4 u1) u3, u3, max u1 u3, u4} (AlgHom.{u3, max u3 u1, u4} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))))) (AddCommMonoid.toAddMonoid.{u4} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2))))) (Module.toDistribMulAction.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Algebra.toModule.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)))) (Module.toDistribMulAction.{u3, u4} R S₁ (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))) (Algebra.toModule.{u3, u4} R S₁ _inst_1 (CommSemiring.toSemiring.{u4} S₁ _inst_2) _inst_3)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max (max u4 u1) u3, u3, max u1 u3, u4} (AlgHom.{u3, max u3 u1, u4} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2))) (Module.toDistribMulAction.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Algebra.toModule.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)))) (Module.toDistribMulAction.{u3, u4} R S₁ (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))) (Algebra.toModule.{u3, u4} R S₁ _inst_1 (CommSemiring.toSemiring.{u4} S₁ _inst_2) _inst_3)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u3, max u1 u3, u4, max (max u4 u1) u3} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3 (AlgHom.{u3, max u3 u1, u4} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3) (AlgHom.algHomClass.{u3, max u1 u3, u4} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3))))) (MvPolynomial.aeval.{u3, u4, u1} R S₁ σ _inst_1 _inst_2 _inst_3 g) p)) (FunLike.coe.{max (max (succ u3) (succ u1)) (succ u2), max (succ u3) (succ u1), succ u2} (RingHom.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) B (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5))) (MvPolynomial.{u1, u3} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u3} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u3} σ R _inst_1) => B) _x) (MulHomClass.toFunLike.{max (max u3 u1) u2, max u3 u1, u2} (RingHom.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) B (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5))) (MvPolynomial.{u1, u3} σ R _inst_1) B (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u2} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5)))) (NonUnitalRingHomClass.toMulHomClass.{max (max u3 u1) u2, max u3 u1, u2} (RingHom.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) B (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5))) (MvPolynomial.{u1, u3} σ R _inst_1) B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5))) (RingHomClass.toNonUnitalRingHomClass.{max (max u3 u1) u2, max u3 u1, u2} (RingHom.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) B (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5))) (MvPolynomial.{u1, u3} σ R _inst_1) B (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5)) (RingHom.instRingHomClassRingHom.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) B (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5)))))) (MvPolynomial.eval₂Hom.{u3, u2, u1} R B σ _inst_1 _inst_5 (RingHom.comp.{u3, u4, u2} R S₁ B (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5)) φ (algebraMap.{u3, u4} R S₁ _inst_1 (CommSemiring.toSemiring.{u4} S₁ _inst_2) _inst_3)) (fun (i : σ) => FunLike.coe.{max (succ u4) (succ u2), succ u4, succ u2} (RingHom.{u4, u2} S₁ B (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5))) S₁ (fun (_x : S₁) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : S₁) => B) _x) (MulHomClass.toFunLike.{max u4 u2, u4, u2} (RingHom.{u4, u2} S₁ B (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5))) S₁ B (NonUnitalNonAssocSemiring.toMul.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))) (NonUnitalNonAssocSemiring.toMul.{u2} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5)))) (NonUnitalRingHomClass.toMulHomClass.{max u4 u2, u4, u2} (RingHom.{u4, u2} S₁ B (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5))) S₁ B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5))) (RingHomClass.toNonUnitalRingHomClass.{max u4 u2, u4, u2} (RingHom.{u4, u2} S₁ B (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5))) S₁ B (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5)) (RingHom.instRingHomClassRingHom.{u4, u2} S₁ B (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5)))))) φ (g i))) p)
+  forall {R : Type.{u3}} {S₁ : Type.{u4}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u3} R] [_inst_2 : CommSemiring.{u4} S₁] [_inst_3 : Algebra.{u3, u4} R S₁ _inst_1 (CommSemiring.toSemiring.{u4} S₁ _inst_2)] {B : Type.{u2}} [_inst_5 : CommSemiring.{u2} B] (g : σ -> S₁) (φ : RingHom.{u4, u2} S₁ B (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5))) (p : MvPolynomial.{u1, u3} σ R _inst_1), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : S₁) => B) (FunLike.coe.{max (max (succ u4) (succ u1)) (succ u3), max (succ u1) (succ u3), succ u4} (AlgHom.{u3, max u3 u1, u4} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3) (MvPolynomial.{u1, u3} σ R _inst_1) (fun (a : MvPolynomial.{u1, u3} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : MvPolynomial.{u1, u3} σ R _inst_1) => S₁) a) (SMulHomClass.toFunLike.{max (max u4 u1) u3, u3, max u1 u3, u4} (AlgHom.{u3, max u3 u1, u4} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ (SMulZeroClass.toSMul.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (AddMonoid.toZero.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))))) (DistribSMul.toSMulZeroClass.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))))) (DistribMulAction.toDistribSMul.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))))) (Module.toDistribMulAction.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Algebra.toModule.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1))))))) (SMulZeroClass.toSMul.{u3, u4} R S₁ (AddMonoid.toZero.{u4} S₁ (AddCommMonoid.toAddMonoid.{u4} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))))) (DistribSMul.toSMulZeroClass.{u3, u4} R S₁ (AddMonoid.toAddZeroClass.{u4} S₁ (AddCommMonoid.toAddMonoid.{u4} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))))) (DistribMulAction.toDistribSMul.{u3, u4} R S₁ (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (AddCommMonoid.toAddMonoid.{u4} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2))))) (Module.toDistribMulAction.{u3, u4} R S₁ (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))) (Algebra.toModule.{u3, u4} R S₁ _inst_1 (CommSemiring.toSemiring.{u4} S₁ _inst_2) _inst_3))))) (DistribMulActionHomClass.toSMulHomClass.{max (max u4 u1) u3, u3, max u1 u3, u4} (AlgHom.{u3, max u3 u1, u4} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))))) (AddCommMonoid.toAddMonoid.{u4} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2))))) (Module.toDistribMulAction.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Algebra.toModule.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)))) (Module.toDistribMulAction.{u3, u4} R S₁ (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))) (Algebra.toModule.{u3, u4} R S₁ _inst_1 (CommSemiring.toSemiring.{u4} S₁ _inst_2) _inst_3)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max (max u4 u1) u3, u3, max u1 u3, u4} (AlgHom.{u3, max u3 u1, u4} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2))) (Module.toDistribMulAction.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Algebra.toModule.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)))) (Module.toDistribMulAction.{u3, u4} R S₁ (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))) (Algebra.toModule.{u3, u4} R S₁ _inst_1 (CommSemiring.toSemiring.{u4} S₁ _inst_2) _inst_3)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u3, max u1 u3, u4, max (max u4 u1) u3} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3 (AlgHom.{u3, max u3 u1, u4} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3) (AlgHom.algHomClass.{u3, max u1 u3, u4} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3))))) (MvPolynomial.aeval.{u3, u4, u1} R S₁ σ _inst_1 _inst_2 _inst_3 g) p)) (FunLike.coe.{max (succ u4) (succ u2), succ u4, succ u2} (RingHom.{u4, u2} S₁ B (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5))) S₁ (fun (_x : S₁) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : S₁) => B) _x) (MulHomClass.toFunLike.{max u4 u2, u4, u2} (RingHom.{u4, u2} S₁ B (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5))) S₁ B (NonUnitalNonAssocSemiring.toMul.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))) (NonUnitalNonAssocSemiring.toMul.{u2} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5)))) (NonUnitalRingHomClass.toMulHomClass.{max u4 u2, u4, u2} (RingHom.{u4, u2} S₁ B (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5))) S₁ B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5))) (RingHomClass.toNonUnitalRingHomClass.{max u4 u2, u4, u2} (RingHom.{u4, u2} S₁ B (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5))) S₁ B (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5)) (RingHom.instRingHomClassRingHom.{u4, u2} S₁ B (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5)))))) φ (FunLike.coe.{max (max (succ u4) (succ u1)) (succ u3), max (succ u1) (succ u3), succ u4} (AlgHom.{u3, max u3 u1, u4} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3) (MvPolynomial.{u1, u3} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u3} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : MvPolynomial.{u1, u3} σ R _inst_1) => S₁) _x) (SMulHomClass.toFunLike.{max (max u4 u1) u3, u3, max u1 u3, u4} (AlgHom.{u3, max u3 u1, u4} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ (SMulZeroClass.toSMul.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (AddMonoid.toZero.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))))) (DistribSMul.toSMulZeroClass.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))))) (DistribMulAction.toDistribSMul.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))))) (Module.toDistribMulAction.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Algebra.toModule.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1))))))) (SMulZeroClass.toSMul.{u3, u4} R S₁ (AddMonoid.toZero.{u4} S₁ (AddCommMonoid.toAddMonoid.{u4} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))))) (DistribSMul.toSMulZeroClass.{u3, u4} R S₁ (AddMonoid.toAddZeroClass.{u4} S₁ (AddCommMonoid.toAddMonoid.{u4} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))))) (DistribMulAction.toDistribSMul.{u3, u4} R S₁ (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (AddCommMonoid.toAddMonoid.{u4} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2))))) (Module.toDistribMulAction.{u3, u4} R S₁ (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))) (Algebra.toModule.{u3, u4} R S₁ _inst_1 (CommSemiring.toSemiring.{u4} S₁ _inst_2) _inst_3))))) (DistribMulActionHomClass.toSMulHomClass.{max (max u4 u1) u3, u3, max u1 u3, u4} (AlgHom.{u3, max u3 u1, u4} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))))) (AddCommMonoid.toAddMonoid.{u4} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2))))) (Module.toDistribMulAction.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Algebra.toModule.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)))) (Module.toDistribMulAction.{u3, u4} R S₁ (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))) (Algebra.toModule.{u3, u4} R S₁ _inst_1 (CommSemiring.toSemiring.{u4} S₁ _inst_2) _inst_3)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max (max u4 u1) u3, u3, max u1 u3, u4} (AlgHom.{u3, max u3 u1, u4} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2))) (Module.toDistribMulAction.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Algebra.toModule.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)))) (Module.toDistribMulAction.{u3, u4} R S₁ (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))) (Algebra.toModule.{u3, u4} R S₁ _inst_1 (CommSemiring.toSemiring.{u4} S₁ _inst_2) _inst_3)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u3, max u1 u3, u4, max (max u4 u1) u3} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3 (AlgHom.{u3, max u3 u1, u4} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3) (AlgHom.algHomClass.{u3, max u1 u3, u4} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3))))) (MvPolynomial.aeval.{u3, u4, u1} R S₁ σ _inst_1 _inst_2 _inst_3 g) p)) (FunLike.coe.{max (max (succ u3) (succ u1)) (succ u2), max (succ u3) (succ u1), succ u2} (RingHom.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) B (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5))) (MvPolynomial.{u1, u3} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u3} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u3} σ R _inst_1) => B) _x) (MulHomClass.toFunLike.{max (max u3 u1) u2, max u3 u1, u2} (RingHom.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) B (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5))) (MvPolynomial.{u1, u3} σ R _inst_1) B (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u2} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5)))) (NonUnitalRingHomClass.toMulHomClass.{max (max u3 u1) u2, max u3 u1, u2} (RingHom.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) B (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5))) (MvPolynomial.{u1, u3} σ R _inst_1) B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5))) (RingHomClass.toNonUnitalRingHomClass.{max (max u3 u1) u2, max u3 u1, u2} (RingHom.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) B (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5))) (MvPolynomial.{u1, u3} σ R _inst_1) B (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5)) (RingHom.instRingHomClassRingHom.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) B (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5)))))) (MvPolynomial.eval₂Hom.{u3, u2, u1} R B σ _inst_1 _inst_5 (RingHom.comp.{u3, u4, u2} R S₁ B (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5)) φ (algebraMap.{u3, u4} R S₁ _inst_1 (CommSemiring.toSemiring.{u4} S₁ _inst_2) _inst_3)) (fun (i : σ) => FunLike.coe.{max (succ u4) (succ u2), succ u4, succ u2} (RingHom.{u4, u2} S₁ B (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5))) S₁ (fun (_x : S₁) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : S₁) => B) _x) (MulHomClass.toFunLike.{max u4 u2, u4, u2} (RingHom.{u4, u2} S₁ B (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5))) S₁ B (NonUnitalNonAssocSemiring.toMul.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))) (NonUnitalNonAssocSemiring.toMul.{u2} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5)))) (NonUnitalRingHomClass.toMulHomClass.{max u4 u2, u4, u2} (RingHom.{u4, u2} S₁ B (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5))) S₁ B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5))) (RingHomClass.toNonUnitalRingHomClass.{max u4 u2, u4, u2} (RingHom.{u4, u2} S₁ B (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5))) S₁ B (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5)) (RingHom.instRingHomClassRingHom.{u4, u2} S₁ B (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5)))))) φ (g i))) p)
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.map_aeval MvPolynomial.map_aevalₓ'. -/
 @[simp]
 theorem map_aeval {B : Type _} [CommSemiring B] (g : σ → S₁) (φ : S₁ →+* B) (p : MvPolynomial σ R) :
@@ -2690,7 +2690,7 @@ theorem eval₂_zero'_apply (f : R →+* S₂) (p : MvPolynomial σ R) :
 lean 3 declaration is
   forall {R : Type.{u1}} {S₁ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] [_inst_3 : Algebra.{u1, u2} R S₁ _inst_1 (CommSemiring.toSemiring.{u2} S₁ _inst_2)] (p : MvPolynomial.{u3, u1} σ R _inst_1), Eq.{succ u2} S₁ (coeFn.{max (succ (max u3 u1)) (succ u2), max (succ (max u3 u1)) (succ u2)} (AlgHom.{u1, max u3 u1, u2} R (MvPolynomial.{u3, u1} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (CommSemiring.toSemiring.{u2} S₁ _inst_2) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_3) (fun (_x : AlgHom.{u1, max u3 u1, u2} R (MvPolynomial.{u3, u1} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (CommSemiring.toSemiring.{u2} S₁ _inst_2) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_3) => (MvPolynomial.{u3, u1} σ R _inst_1) -> S₁) ([anonymous].{u1, max u3 u1, u2} R (MvPolynomial.{u3, u1} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (CommSemiring.toSemiring.{u2} S₁ _inst_2) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_3) (MvPolynomial.aeval.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 _inst_3 (OfNat.ofNat.{max u3 u2} (σ -> S₁) 0 (OfNat.mk.{max u3 u2} (σ -> S₁) 0 (Zero.zero.{max u3 u2} (σ -> S₁) (Pi.instZero.{u3, u2} σ (fun (ᾰ : σ) => S₁) (fun (i : σ) => MulZeroClass.toHasZero.{u2} S₁ (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S₁ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)))))))))) p) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (fun (_x : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) => R -> S₁) (RingHom.hasCoeToFun.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (algebraMap.{u1, u2} R S₁ _inst_1 (CommSemiring.toSemiring.{u2} S₁ _inst_2) _inst_3) (coeFn.{max (succ (max u3 u1)) (succ u1), max (succ (max u3 u1)) (succ u1)} (RingHom.{max u3 u1, u1} (MvPolynomial.{u3, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (fun (_x : RingHom.{max u3 u1, u1} (MvPolynomial.{u3, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) => (MvPolynomial.{u3, u1} σ R _inst_1) -> R) (RingHom.hasCoeToFun.{max u3 u1, u1} (MvPolynomial.{u3, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.constantCoeff.{u1, u3} R σ _inst_1) p))
 but is expected to have type
-  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] [_inst_3 : Algebra.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2)] (p : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u1, u2} σ R _inst_1) => S₁) p) (FunLike.coe.{max (max (succ u3) (succ u1)) (succ u2), max (succ u1) (succ u2), succ u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u1, u2} σ R _inst_1) => S₁) _x) (SMulHomClass.toFunLike.{max (max u3 u1) u2, u2, max u1 u2, u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (SMulZeroClass.toSMul.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (AddMonoid.toZero.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (DistribSMul.toSMulZeroClass.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (DistribMulAction.toDistribSMul.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))))))) (SMulZeroClass.toSMul.{u2, u3} R S₁ (AddMonoid.toZero.{u3} S₁ (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (DistribSMul.toSMulZeroClass.{u2, u3} R S₁ (AddMonoid.toAddZeroClass.{u3} S₁ (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (DistribMulAction.toDistribSMul.{u2, u3} R S₁ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))))) (Module.toDistribMulAction.{u2, u3} R S₁ (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (Algebra.toModule.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3))))) (DistribMulActionHomClass.toSMulHomClass.{max (max u3 u1) u2, u2, max u1 u2, u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (Module.toDistribMulAction.{u2, u3} R S₁ (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (Algebra.toModule.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max (max u3 u1) u2, u2, max u1 u2, u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (Module.toDistribMulAction.{u2, u3} R S₁ (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (Algebra.toModule.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u2, max u1 u2, u3, max (max u3 u1) u2} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3 (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) (AlgHom.algHomClass.{u2, max u1 u2, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3))))) (MvPolynomial.aeval.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 _inst_3 (OfNat.ofNat.{max u3 u1} (σ -> S₁) 0 (Zero.toOfNat0.{max u3 u1} (σ -> S₁) (Pi.instZero.{u1, u3} σ (fun (a._@.Mathlib.Data.MvPolynomial.Basic._hyg.21001 : σ) => S₁) (fun (i : σ) => CommMonoidWithZero.toZero.{u3} S₁ (CommSemiring.toCommMonoidWithZero.{u3} S₁ _inst_2)))))) p) (FunLike.coe.{max (succ u3) (succ u2), succ u2, succ u3} (RingHom.{u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (fun (_x : (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) => S₁) _x) (MulHomClass.toFunLike.{max u3 u2, u2, u3} (RingHom.{u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (NonUnitalNonAssocSemiring.toMul.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u3 u2, u2, u3} (RingHom.{u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u3 u2, u2, u3} (RingHom.{u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (algebraMap.{u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3) (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), succ u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) _x) (MulHomClass.toFunLike.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (RingHom.instRingHomClassRingHom.{max u1 u2, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))))) (MvPolynomial.constantCoeff.{u2, u1} R σ _inst_1) p))
+  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] [_inst_3 : Algebra.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2)] (p : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : MvPolynomial.{u1, u2} σ R _inst_1) => S₁) p) (FunLike.coe.{max (max (succ u3) (succ u1)) (succ u2), max (succ u1) (succ u2), succ u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : MvPolynomial.{u1, u2} σ R _inst_1) => S₁) _x) (SMulHomClass.toFunLike.{max (max u3 u1) u2, u2, max u1 u2, u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (SMulZeroClass.toSMul.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (AddMonoid.toZero.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (DistribSMul.toSMulZeroClass.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (DistribMulAction.toDistribSMul.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))))))) (SMulZeroClass.toSMul.{u2, u3} R S₁ (AddMonoid.toZero.{u3} S₁ (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (DistribSMul.toSMulZeroClass.{u2, u3} R S₁ (AddMonoid.toAddZeroClass.{u3} S₁ (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (DistribMulAction.toDistribSMul.{u2, u3} R S₁ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))))) (Module.toDistribMulAction.{u2, u3} R S₁ (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (Algebra.toModule.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3))))) (DistribMulActionHomClass.toSMulHomClass.{max (max u3 u1) u2, u2, max u1 u2, u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (Module.toDistribMulAction.{u2, u3} R S₁ (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (Algebra.toModule.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max (max u3 u1) u2, u2, max u1 u2, u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (Module.toDistribMulAction.{u2, u3} R S₁ (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (Algebra.toModule.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u2, max u1 u2, u3, max (max u3 u1) u2} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3 (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) (AlgHom.algHomClass.{u2, max u1 u2, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3))))) (MvPolynomial.aeval.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 _inst_3 (OfNat.ofNat.{max u3 u1} (σ -> S₁) 0 (Zero.toOfNat0.{max u3 u1} (σ -> S₁) (Pi.instZero.{u1, u3} σ (fun (a._@.Mathlib.Data.MvPolynomial.Basic._hyg.21001 : σ) => S₁) (fun (i : σ) => CommMonoidWithZero.toZero.{u3} S₁ (CommSemiring.toCommMonoidWithZero.{u3} S₁ _inst_2)))))) p) (FunLike.coe.{max (succ u3) (succ u2), succ u2, succ u3} (RingHom.{u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (fun (_x : (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) => S₁) _x) (MulHomClass.toFunLike.{max u3 u2, u2, u3} (RingHom.{u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (NonUnitalNonAssocSemiring.toMul.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u3 u2, u2, u3} (RingHom.{u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u3 u2, u2, u3} (RingHom.{u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (algebraMap.{u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3) (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), succ u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) _x) (MulHomClass.toFunLike.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (RingHom.instRingHomClassRingHom.{max u1 u2, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))))) (MvPolynomial.constantCoeff.{u2, u1} R σ _inst_1) p))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.aeval_zero MvPolynomial.aeval_zeroₓ'. -/
 @[simp]
 theorem aeval_zero (p : MvPolynomial σ R) :
@@ -2702,7 +2702,7 @@ theorem aeval_zero (p : MvPolynomial σ R) :
 lean 3 declaration is
   forall {R : Type.{u1}} {S₁ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] [_inst_3 : Algebra.{u1, u2} R S₁ _inst_1 (CommSemiring.toSemiring.{u2} S₁ _inst_2)] (p : MvPolynomial.{u3, u1} σ R _inst_1), Eq.{succ u2} S₁ (coeFn.{max (succ (max u3 u1)) (succ u2), max (succ (max u3 u1)) (succ u2)} (AlgHom.{u1, max u3 u1, u2} R (MvPolynomial.{u3, u1} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (CommSemiring.toSemiring.{u2} S₁ _inst_2) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_3) (fun (_x : AlgHom.{u1, max u3 u1, u2} R (MvPolynomial.{u3, u1} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (CommSemiring.toSemiring.{u2} S₁ _inst_2) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_3) => (MvPolynomial.{u3, u1} σ R _inst_1) -> S₁) ([anonymous].{u1, max u3 u1, u2} R (MvPolynomial.{u3, u1} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (CommSemiring.toSemiring.{u2} S₁ _inst_2) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_3) (MvPolynomial.aeval.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 _inst_3 (fun (_x : σ) => OfNat.ofNat.{u2} S₁ 0 (OfNat.mk.{u2} S₁ 0 (Zero.zero.{u2} S₁ (MulZeroClass.toHasZero.{u2} S₁ (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S₁ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))))))))) p) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (fun (_x : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) => R -> S₁) (RingHom.hasCoeToFun.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (algebraMap.{u1, u2} R S₁ _inst_1 (CommSemiring.toSemiring.{u2} S₁ _inst_2) _inst_3) (coeFn.{max (succ (max u3 u1)) (succ u1), max (succ (max u3 u1)) (succ u1)} (RingHom.{max u3 u1, u1} (MvPolynomial.{u3, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (fun (_x : RingHom.{max u3 u1, u1} (MvPolynomial.{u3, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) => (MvPolynomial.{u3, u1} σ R _inst_1) -> R) (RingHom.hasCoeToFun.{max u3 u1, u1} (MvPolynomial.{u3, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.constantCoeff.{u1, u3} R σ _inst_1) p))
 but is expected to have type
-  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] [_inst_3 : Algebra.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2)] (p : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u1, u2} σ R _inst_1) => S₁) p) (FunLike.coe.{max (max (succ u3) (succ u1)) (succ u2), max (succ u1) (succ u2), succ u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u1, u2} σ R _inst_1) => S₁) _x) (SMulHomClass.toFunLike.{max (max u3 u1) u2, u2, max u1 u2, u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (SMulZeroClass.toSMul.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (AddMonoid.toZero.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (DistribSMul.toSMulZeroClass.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (DistribMulAction.toDistribSMul.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))))))) (SMulZeroClass.toSMul.{u2, u3} R S₁ (AddMonoid.toZero.{u3} S₁ (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (DistribSMul.toSMulZeroClass.{u2, u3} R S₁ (AddMonoid.toAddZeroClass.{u3} S₁ (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (DistribMulAction.toDistribSMul.{u2, u3} R S₁ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))))) (Module.toDistribMulAction.{u2, u3} R S₁ (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (Algebra.toModule.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3))))) (DistribMulActionHomClass.toSMulHomClass.{max (max u3 u1) u2, u2, max u1 u2, u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (Module.toDistribMulAction.{u2, u3} R S₁ (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (Algebra.toModule.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max (max u3 u1) u2, u2, max u1 u2, u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (Module.toDistribMulAction.{u2, u3} R S₁ (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (Algebra.toModule.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u2, max u1 u2, u3, max (max u3 u1) u2} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3 (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) (AlgHom.algHomClass.{u2, max u1 u2, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3))))) (MvPolynomial.aeval.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 _inst_3 (fun (_x : σ) => OfNat.ofNat.{u3} S₁ 0 (Zero.toOfNat0.{u3} S₁ (CommMonoidWithZero.toZero.{u3} S₁ (CommSemiring.toCommMonoidWithZero.{u3} S₁ _inst_2))))) p) (FunLike.coe.{max (succ u3) (succ u2), succ u2, succ u3} (RingHom.{u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (fun (_x : (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) => S₁) _x) (MulHomClass.toFunLike.{max u3 u2, u2, u3} (RingHom.{u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (NonUnitalNonAssocSemiring.toMul.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u3 u2, u2, u3} (RingHom.{u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u3 u2, u2, u3} (RingHom.{u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (algebraMap.{u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3) (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), succ u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) _x) (MulHomClass.toFunLike.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (RingHom.instRingHomClassRingHom.{max u1 u2, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))))) (MvPolynomial.constantCoeff.{u2, u1} R σ _inst_1) p))
+  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] [_inst_3 : Algebra.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2)] (p : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : MvPolynomial.{u1, u2} σ R _inst_1) => S₁) p) (FunLike.coe.{max (max (succ u3) (succ u1)) (succ u2), max (succ u1) (succ u2), succ u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : MvPolynomial.{u1, u2} σ R _inst_1) => S₁) _x) (SMulHomClass.toFunLike.{max (max u3 u1) u2, u2, max u1 u2, u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (SMulZeroClass.toSMul.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (AddMonoid.toZero.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (DistribSMul.toSMulZeroClass.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (DistribMulAction.toDistribSMul.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))))))) (SMulZeroClass.toSMul.{u2, u3} R S₁ (AddMonoid.toZero.{u3} S₁ (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (DistribSMul.toSMulZeroClass.{u2, u3} R S₁ (AddMonoid.toAddZeroClass.{u3} S₁ (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (DistribMulAction.toDistribSMul.{u2, u3} R S₁ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))))) (Module.toDistribMulAction.{u2, u3} R S₁ (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (Algebra.toModule.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3))))) (DistribMulActionHomClass.toSMulHomClass.{max (max u3 u1) u2, u2, max u1 u2, u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (Module.toDistribMulAction.{u2, u3} R S₁ (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (Algebra.toModule.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max (max u3 u1) u2, u2, max u1 u2, u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (Module.toDistribMulAction.{u2, u3} R S₁ (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (Algebra.toModule.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u2, max u1 u2, u3, max (max u3 u1) u2} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3 (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) (AlgHom.algHomClass.{u2, max u1 u2, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3))))) (MvPolynomial.aeval.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 _inst_3 (fun (_x : σ) => OfNat.ofNat.{u3} S₁ 0 (Zero.toOfNat0.{u3} S₁ (CommMonoidWithZero.toZero.{u3} S₁ (CommSemiring.toCommMonoidWithZero.{u3} S₁ _inst_2))))) p) (FunLike.coe.{max (succ u3) (succ u2), succ u2, succ u3} (RingHom.{u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (fun (_x : (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) => S₁) _x) (MulHomClass.toFunLike.{max u3 u2, u2, u3} (RingHom.{u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (NonUnitalNonAssocSemiring.toMul.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u3 u2, u2, u3} (RingHom.{u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u3 u2, u2, u3} (RingHom.{u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (algebraMap.{u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3) (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), succ u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) _x) (MulHomClass.toFunLike.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (RingHom.instRingHomClassRingHom.{max u1 u2, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))))) (MvPolynomial.constantCoeff.{u2, u1} R σ _inst_1) p))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.aeval_zero' MvPolynomial.aeval_zero'ₓ'. -/
 @[simp]
 theorem aeval_zero' (p : MvPolynomial σ R) :
@@ -2736,7 +2736,7 @@ theorem eval_zero' : eval (fun _ => 0 : σ → R) = constantCoeff :=
 lean 3 declaration is
   forall {R : Type.{u1}} {S₁ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] [_inst_3 : Algebra.{u1, u2} R S₁ _inst_1 (CommSemiring.toSemiring.{u2} S₁ _inst_2)] (g : σ -> S₁) (d : Finsupp.{u3, 0} σ Nat Nat.hasZero) (r : R), Eq.{succ u2} S₁ (coeFn.{max (succ (max u3 u1)) (succ u2), max (succ (max u3 u1)) (succ u2)} (AlgHom.{u1, max u3 u1, u2} R (MvPolynomial.{u3, u1} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (CommSemiring.toSemiring.{u2} S₁ _inst_2) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_3) (fun (_x : AlgHom.{u1, max u3 u1, u2} R (MvPolynomial.{u3, u1} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (CommSemiring.toSemiring.{u2} S₁ _inst_2) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_3) => (MvPolynomial.{u3, u1} σ R _inst_1) -> S₁) ([anonymous].{u1, max u3 u1, u2} R (MvPolynomial.{u3, u1} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (CommSemiring.toSemiring.{u2} S₁ _inst_2) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_3) (MvPolynomial.aeval.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 _inst_3 g) (coeFn.{max (succ u1) (succ (max u3 u1)), max (succ u1) (succ (max u3 u1))} (LinearMap.{u1, u1, u1, max u3 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u3, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u3 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u3, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u3, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u3 u1} R R R (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u3} R σ _inst_1 d) r)) (HMul.hMul.{u2, u2, u2} S₁ S₁ S₁ (instHMul.{u2} S₁ (Distrib.toHasMul.{u2} S₁ (NonUnitalNonAssocSemiring.toDistrib.{u2} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S₁ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)))))) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (fun (_x : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) => R -> S₁) (RingHom.hasCoeToFun.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (algebraMap.{u1, u2} R S₁ _inst_1 (CommSemiring.toSemiring.{u2} S₁ _inst_2) _inst_3) r) (Finsupp.prod.{u3, 0, u2} σ Nat S₁ Nat.hasZero (CommSemiring.toCommMonoid.{u2} S₁ _inst_2) d (fun (i : σ) (k : Nat) => HPow.hPow.{u2, 0, u2} S₁ Nat S₁ (instHPow.{u2, 0} S₁ Nat (Monoid.Pow.{u2} S₁ (MonoidWithZero.toMonoid.{u2} S₁ (Semiring.toMonoidWithZero.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))))) (g i) k)))
 but is expected to have type
-  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] [_inst_3 : Algebra.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2)] (g : σ -> S₁) (d : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (r : R), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u1, u2} σ R _inst_1) => S₁) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (a : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 d) r)) (FunLike.coe.{max (max (succ u3) (succ u1)) (succ u2), max (succ u1) (succ u2), succ u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u1, u2} σ R _inst_1) => S₁) _x) (SMulHomClass.toFunLike.{max (max u3 u1) u2, u2, max u1 u2, u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (SMulZeroClass.toSMul.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (AddMonoid.toZero.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (DistribSMul.toSMulZeroClass.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (DistribMulAction.toDistribSMul.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))))))) (SMulZeroClass.toSMul.{u2, u3} R S₁ (AddMonoid.toZero.{u3} S₁ (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (DistribSMul.toSMulZeroClass.{u2, u3} R S₁ (AddMonoid.toAddZeroClass.{u3} S₁ (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (DistribMulAction.toDistribSMul.{u2, u3} R S₁ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))))) (Module.toDistribMulAction.{u2, u3} R S₁ (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (Algebra.toModule.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3))))) (DistribMulActionHomClass.toSMulHomClass.{max (max u3 u1) u2, u2, max u1 u2, u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (Module.toDistribMulAction.{u2, u3} R S₁ (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (Algebra.toModule.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max (max u3 u1) u2, u2, max u1 u2, u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (Module.toDistribMulAction.{u2, u3} R S₁ (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (Algebra.toModule.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u2, max u1 u2, u3, max (max u3 u1) u2} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3 (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) (AlgHom.algHomClass.{u2, max u1 u2, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3))))) (MvPolynomial.aeval.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 _inst_3 g) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 d) r)) (HMul.hMul.{u3, u3, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) S₁ ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u1, u2} σ R _inst_1) => S₁) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (a : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 d) r)) (instHMul.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) (NonUnitalNonAssocSemiring.toMul.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) (Semiring.toNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) _inst_2))))) (FunLike.coe.{max (succ u3) (succ u2), succ u2, succ u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) _x) (MulHomClass.toFunLike.{max u3 u2, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u3 u2, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u3 u2, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (algebraMap.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3) r) (Finsupp.prod.{u1, 0, u3} σ Nat S₁ (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) (CommSemiring.toCommMonoid.{u3} S₁ _inst_2) d (fun (i : σ) (k : Nat) => HPow.hPow.{u3, 0, u3} S₁ Nat S₁ (instHPow.{u3, 0} S₁ Nat (Monoid.Pow.{u3} S₁ (MonoidWithZero.toMonoid.{u3} S₁ (Semiring.toMonoidWithZero.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))))) (g i) k)))
+  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] [_inst_3 : Algebra.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2)] (g : σ -> S₁) (d : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (r : R), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : MvPolynomial.{u1, u2} σ R _inst_1) => S₁) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (a : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 d) r)) (FunLike.coe.{max (max (succ u3) (succ u1)) (succ u2), max (succ u1) (succ u2), succ u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : MvPolynomial.{u1, u2} σ R _inst_1) => S₁) _x) (SMulHomClass.toFunLike.{max (max u3 u1) u2, u2, max u1 u2, u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (SMulZeroClass.toSMul.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (AddMonoid.toZero.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (DistribSMul.toSMulZeroClass.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (DistribMulAction.toDistribSMul.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))))))) (SMulZeroClass.toSMul.{u2, u3} R S₁ (AddMonoid.toZero.{u3} S₁ (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (DistribSMul.toSMulZeroClass.{u2, u3} R S₁ (AddMonoid.toAddZeroClass.{u3} S₁ (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (DistribMulAction.toDistribSMul.{u2, u3} R S₁ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))))) (Module.toDistribMulAction.{u2, u3} R S₁ (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (Algebra.toModule.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3))))) (DistribMulActionHomClass.toSMulHomClass.{max (max u3 u1) u2, u2, max u1 u2, u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (Module.toDistribMulAction.{u2, u3} R S₁ (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (Algebra.toModule.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max (max u3 u1) u2, u2, max u1 u2, u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (Module.toDistribMulAction.{u2, u3} R S₁ (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (Algebra.toModule.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u2, max u1 u2, u3, max (max u3 u1) u2} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3 (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) (AlgHom.algHomClass.{u2, max u1 u2, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3))))) (MvPolynomial.aeval.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 _inst_3 g) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 d) r)) (HMul.hMul.{u3, u3, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) S₁ ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : MvPolynomial.{u1, u2} σ R _inst_1) => S₁) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (a : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 d) r)) (instHMul.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) (NonUnitalNonAssocSemiring.toMul.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) (Semiring.toNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) _inst_2))))) (FunLike.coe.{max (succ u3) (succ u2), succ u2, succ u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) _x) (MulHomClass.toFunLike.{max u3 u2, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u3 u2, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u3 u2, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (algebraMap.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3) r) (Finsupp.prod.{u1, 0, u3} σ Nat S₁ (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) (CommSemiring.toCommMonoid.{u3} S₁ _inst_2) d (fun (i : σ) (k : Nat) => HPow.hPow.{u3, 0, u3} S₁ Nat S₁ (instHPow.{u3, 0} S₁ Nat (Monoid.Pow.{u3} S₁ (MonoidWithZero.toMonoid.{u3} S₁ (Semiring.toMonoidWithZero.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))))) (g i) k)))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.aeval_monomial MvPolynomial.aeval_monomialₓ'. -/
 theorem aeval_monomial (g : σ → S₁) (d : σ →₀ ℕ) (r : R) :
     aeval g (monomial d r) = algebraMap _ _ r * d.Prod fun i k => g i ^ k :=
@@ -2764,7 +2764,7 @@ theorem eval₂Hom_eq_zero (f : R →+* S₂) (g : σ → S₂) (φ : MvPolynomi
 lean 3 declaration is
   forall {R : Type.{u1}} {S₂ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_4 : CommSemiring.{u2} S₂] [_inst_5 : Algebra.{u1, u2} R S₂ _inst_1 (CommSemiring.toSemiring.{u2} S₂ _inst_4)] (f : σ -> S₂) (φ : MvPolynomial.{u3, u1} σ R _inst_1), (forall (d : Finsupp.{u3, 0} σ Nat Nat.hasZero), (Ne.{succ u1} R (MvPolynomial.coeff.{u1, u3} R σ _inst_1 d φ) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))))))) -> (Exists.{succ u3} σ (fun (i : σ) => Exists.{0} (Membership.Mem.{u3, u3} σ (Finset.{u3} σ) (Finset.hasMem.{u3} σ) i (Finsupp.support.{u3, 0} σ Nat Nat.hasZero d)) (fun (H : Membership.Mem.{u3, u3} σ (Finset.{u3} σ) (Finset.hasMem.{u3} σ) i (Finsupp.support.{u3, 0} σ Nat Nat.hasZero d)) => Eq.{succ u2} S₂ (f i) (OfNat.ofNat.{u2} S₂ 0 (OfNat.mk.{u2} S₂ 0 (Zero.zero.{u2} S₂ (MulZeroClass.toHasZero.{u2} S₂ (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S₂ (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4)))))))))))) -> (Eq.{succ u2} S₂ (coeFn.{max (succ (max u3 u1)) (succ u2), max (succ (max u3 u1)) (succ u2)} (AlgHom.{u1, max u3 u1, u2} R (MvPolynomial.{u3, u1} σ R _inst_1) S₂ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (CommSemiring.toSemiring.{u2} S₂ _inst_4) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_5) (fun (_x : AlgHom.{u1, max u3 u1, u2} R (MvPolynomial.{u3, u1} σ R _inst_1) S₂ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (CommSemiring.toSemiring.{u2} S₂ _inst_4) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_5) => (MvPolynomial.{u3, u1} σ R _inst_1) -> S₂) ([anonymous].{u1, max u3 u1, u2} R (MvPolynomial.{u3, u1} σ R _inst_1) S₂ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (CommSemiring.toSemiring.{u2} S₂ _inst_4) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_5) (MvPolynomial.aeval.{u1, u2, u3} R S₂ σ _inst_1 _inst_4 _inst_5 f) φ) (OfNat.ofNat.{u2} S₂ 0 (OfNat.mk.{u2} S₂ 0 (Zero.zero.{u2} S₂ (MulZeroClass.toHasZero.{u2} S₂ (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S₂ (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4)))))))))
 but is expected to have type
-  forall {R : Type.{u2}} {S₂ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_4 : CommSemiring.{u3} S₂] [_inst_5 : Algebra.{u2, u3} R S₂ _inst_1 (CommSemiring.toSemiring.{u3} S₂ _inst_4)] (f : σ -> S₂) (φ : MvPolynomial.{u1, u2} σ R _inst_1), (forall (d : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)), (Ne.{succ u2} R (MvPolynomial.coeff.{u2, u1} R σ _inst_1 d φ) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))))) -> (Exists.{succ u1} σ (fun (i : σ) => And (Membership.mem.{u1, u1} σ (Finset.{u1} σ) (Finset.instMembershipFinset.{u1} σ) i (Finsupp.support.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) d)) (Eq.{succ u3} S₂ (f i) (OfNat.ofNat.{u3} S₂ 0 (Zero.toOfNat0.{u3} S₂ (CommMonoidWithZero.toZero.{u3} S₂ (CommSemiring.toCommMonoidWithZero.{u3} S₂ _inst_4)))))))) -> (Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u1, u2} σ R _inst_1) => S₂) φ) (FunLike.coe.{max (max (succ u3) (succ u1)) (succ u2), max (succ u1) (succ u2), succ u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₂ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₂ _inst_4) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_5) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u1, u2} σ R _inst_1) => S₂) _x) (SMulHomClass.toFunLike.{max (max u3 u1) u2, u2, max u1 u2, u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₂ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₂ _inst_4) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_5) R (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (SMulZeroClass.toSMul.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (AddMonoid.toZero.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (DistribSMul.toSMulZeroClass.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (DistribMulAction.toDistribSMul.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))))))) (SMulZeroClass.toSMul.{u2, u3} R S₂ (AddMonoid.toZero.{u3} S₂ (AddCommMonoid.toAddMonoid.{u3} S₂ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)))))) (DistribSMul.toSMulZeroClass.{u2, u3} R S₂ (AddMonoid.toAddZeroClass.{u3} S₂ (AddCommMonoid.toAddMonoid.{u3} S₂ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)))))) (DistribMulAction.toDistribSMul.{u2, u3} R S₂ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{u3} S₂ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))))) (Module.toDistribMulAction.{u2, u3} R S₂ (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)))) (Algebra.toModule.{u2, u3} R S₂ _inst_1 (CommSemiring.toSemiring.{u3} S₂ _inst_4) _inst_5))))) (DistribMulActionHomClass.toSMulHomClass.{max (max u3 u1) u2, u2, max u1 u2, u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₂ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₂ _inst_4) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_5) R (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (AddCommMonoid.toAddMonoid.{u3} S₂ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (Module.toDistribMulAction.{u2, u3} R S₂ (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)))) (Algebra.toModule.{u2, u3} R S₂ _inst_1 (CommSemiring.toSemiring.{u3} S₂ _inst_4) _inst_5)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max (max u3 u1) u2, u2, max u1 u2, u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₂ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₂ _inst_4) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_5) R (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (Module.toDistribMulAction.{u2, u3} R S₂ (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)))) (Algebra.toModule.{u2, u3} R S₂ _inst_1 (CommSemiring.toSemiring.{u3} S₂ _inst_4) _inst_5)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u2, max u1 u2, u3, max (max u3 u1) u2} R (MvPolynomial.{u1, u2} σ R _inst_1) S₂ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₂ _inst_4) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_5 (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₂ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₂ _inst_4) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_5) (AlgHom.algHomClass.{u2, max u1 u2, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₂ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₂ _inst_4) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_5))))) (MvPolynomial.aeval.{u2, u3, u1} R S₂ σ _inst_1 _inst_4 _inst_5 f) φ) (OfNat.ofNat.{u3} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u1, u2} σ R _inst_1) => S₂) φ) 0 (Zero.toOfNat0.{u3} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u1, u2} σ R _inst_1) => S₂) φ) (CommMonoidWithZero.toZero.{u3} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u1, u2} σ R _inst_1) => S₂) φ) (CommSemiring.toCommMonoidWithZero.{u3} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u1, u2} σ R _inst_1) => S₂) φ) _inst_4)))))
+  forall {R : Type.{u2}} {S₂ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_4 : CommSemiring.{u3} S₂] [_inst_5 : Algebra.{u2, u3} R S₂ _inst_1 (CommSemiring.toSemiring.{u3} S₂ _inst_4)] (f : σ -> S₂) (φ : MvPolynomial.{u1, u2} σ R _inst_1), (forall (d : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)), (Ne.{succ u2} R (MvPolynomial.coeff.{u2, u1} R σ _inst_1 d φ) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))))) -> (Exists.{succ u1} σ (fun (i : σ) => And (Membership.mem.{u1, u1} σ (Finset.{u1} σ) (Finset.instMembershipFinset.{u1} σ) i (Finsupp.support.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) d)) (Eq.{succ u3} S₂ (f i) (OfNat.ofNat.{u3} S₂ 0 (Zero.toOfNat0.{u3} S₂ (CommMonoidWithZero.toZero.{u3} S₂ (CommSemiring.toCommMonoidWithZero.{u3} S₂ _inst_4)))))))) -> (Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : MvPolynomial.{u1, u2} σ R _inst_1) => S₂) φ) (FunLike.coe.{max (max (succ u3) (succ u1)) (succ u2), max (succ u1) (succ u2), succ u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₂ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₂ _inst_4) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_5) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : MvPolynomial.{u1, u2} σ R _inst_1) => S₂) _x) (SMulHomClass.toFunLike.{max (max u3 u1) u2, u2, max u1 u2, u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₂ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₂ _inst_4) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_5) R (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (SMulZeroClass.toSMul.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (AddMonoid.toZero.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (DistribSMul.toSMulZeroClass.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (DistribMulAction.toDistribSMul.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))))))) (SMulZeroClass.toSMul.{u2, u3} R S₂ (AddMonoid.toZero.{u3} S₂ (AddCommMonoid.toAddMonoid.{u3} S₂ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)))))) (DistribSMul.toSMulZeroClass.{u2, u3} R S₂ (AddMonoid.toAddZeroClass.{u3} S₂ (AddCommMonoid.toAddMonoid.{u3} S₂ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)))))) (DistribMulAction.toDistribSMul.{u2, u3} R S₂ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{u3} S₂ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))))) (Module.toDistribMulAction.{u2, u3} R S₂ (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)))) (Algebra.toModule.{u2, u3} R S₂ _inst_1 (CommSemiring.toSemiring.{u3} S₂ _inst_4) _inst_5))))) (DistribMulActionHomClass.toSMulHomClass.{max (max u3 u1) u2, u2, max u1 u2, u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₂ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₂ _inst_4) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_5) R (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (AddCommMonoid.toAddMonoid.{u3} S₂ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (Module.toDistribMulAction.{u2, u3} R S₂ (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)))) (Algebra.toModule.{u2, u3} R S₂ _inst_1 (CommSemiring.toSemiring.{u3} S₂ _inst_4) _inst_5)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max (max u3 u1) u2, u2, max u1 u2, u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₂ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₂ _inst_4) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_5) R (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (Module.toDistribMulAction.{u2, u3} R S₂ (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)))) (Algebra.toModule.{u2, u3} R S₂ _inst_1 (CommSemiring.toSemiring.{u3} S₂ _inst_4) _inst_5)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u2, max u1 u2, u3, max (max u3 u1) u2} R (MvPolynomial.{u1, u2} σ R _inst_1) S₂ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₂ _inst_4) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_5 (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₂ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₂ _inst_4) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_5) (AlgHom.algHomClass.{u2, max u1 u2, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₂ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₂ _inst_4) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_5))))) (MvPolynomial.aeval.{u2, u3, u1} R S₂ σ _inst_1 _inst_4 _inst_5 f) φ) (OfNat.ofNat.{u3} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : MvPolynomial.{u1, u2} σ R _inst_1) => S₂) φ) 0 (Zero.toOfNat0.{u3} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : MvPolynomial.{u1, u2} σ R _inst_1) => S₂) φ) (CommMonoidWithZero.toZero.{u3} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : MvPolynomial.{u1, u2} σ R _inst_1) => S₂) φ) (CommSemiring.toCommMonoidWithZero.{u3} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : MvPolynomial.{u1, u2} σ R _inst_1) => S₂) φ) _inst_4)))))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.aeval_eq_zero MvPolynomial.aeval_eq_zeroₓ'. -/
 theorem aeval_eq_zero [Algebra R S₂] (f : σ → S₂) (φ : MvPolynomial σ R)
     (h : ∀ d, φ.coeff d ≠ 0 → ∃ i ∈ d.support, f i = 0) : aeval f φ = 0 :=
@@ -2775,7 +2775,7 @@ theorem aeval_eq_zero [Algebra R S₂] (f : σ → S₂) (φ : MvPolynomial σ R
 lean 3 declaration is
   forall {R : Type.{u1}} {S₁ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] [_inst_3 : Algebra.{u1, u2} R S₁ _inst_1 (CommSemiring.toSemiring.{u2} S₁ _inst_2)] (f : σ -> S₁) {ι : Type.{u4}} (s : Finset.{u4} ι) (φ : ι -> (MvPolynomial.{u3, u1} σ R _inst_1)), Eq.{succ u2} S₁ (coeFn.{max (succ (max u3 u1)) (succ u2), max (succ (max u3 u1)) (succ u2)} (AlgHom.{u1, max u3 u1, u2} R (MvPolynomial.{u3, u1} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (CommSemiring.toSemiring.{u2} S₁ _inst_2) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_3) (fun (_x : AlgHom.{u1, max u3 u1, u2} R (MvPolynomial.{u3, u1} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (CommSemiring.toSemiring.{u2} S₁ _inst_2) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_3) => (MvPolynomial.{u3, u1} σ R _inst_1) -> S₁) ([anonymous].{u1, max u3 u1, u2} R (MvPolynomial.{u3, u1} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (CommSemiring.toSemiring.{u2} S₁ _inst_2) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_3) (MvPolynomial.aeval.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 _inst_3 f) (Finset.sum.{max u3 u1, u4} (MvPolynomial.{u3, u1} σ R _inst_1) ι (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) s (fun (i : ι) => φ i))) (Finset.sum.{u2, u4} S₁ ι (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S₁ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)))) s (fun (i : ι) => coeFn.{max (succ (max u3 u1)) (succ u2), max (succ (max u3 u1)) (succ u2)} (AlgHom.{u1, max u3 u1, u2} R (MvPolynomial.{u3, u1} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (CommSemiring.toSemiring.{u2} S₁ _inst_2) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_3) (fun (_x : AlgHom.{u1, max u3 u1, u2} R (MvPolynomial.{u3, u1} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (CommSemiring.toSemiring.{u2} S₁ _inst_2) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_3) => (MvPolynomial.{u3, u1} σ R _inst_1) -> S₁) ([anonymous].{u1, max u3 u1, u2} R (MvPolynomial.{u3, u1} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (CommSemiring.toSemiring.{u2} S₁ _inst_2) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_3) (MvPolynomial.aeval.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 _inst_3 f) (φ i)))
 but is expected to have type
-  forall {R : Type.{u3}} {S₁ : Type.{u4}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u3} R] [_inst_2 : CommSemiring.{u4} S₁] [_inst_3 : Algebra.{u3, u4} R S₁ _inst_1 (CommSemiring.toSemiring.{u4} S₁ _inst_2)] (f : σ -> S₁) {ι : Type.{u2}} (s : Finset.{u2} ι) (φ : ι -> (MvPolynomial.{u1, u3} σ R _inst_1)), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u1, u3} σ R _inst_1) => S₁) (Finset.sum.{max u1 u3, u2} (MvPolynomial.{u1, u3} σ R _inst_1) ι (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) s (fun (i : ι) => φ i))) (FunLike.coe.{max (max (succ u4) (succ u1)) (succ u3), max (succ u1) (succ u3), succ u4} (AlgHom.{u3, max u3 u1, u4} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3) (MvPolynomial.{u1, u3} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u3} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u1, u3} σ R _inst_1) => S₁) _x) (SMulHomClass.toFunLike.{max (max u4 u1) u3, u3, max u1 u3, u4} (AlgHom.{u3, max u3 u1, u4} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ (SMulZeroClass.toSMul.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (AddMonoid.toZero.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))))) (DistribSMul.toSMulZeroClass.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))))) (DistribMulAction.toDistribSMul.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))))) (Module.toDistribMulAction.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Algebra.toModule.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1))))))) (SMulZeroClass.toSMul.{u3, u4} R S₁ (AddMonoid.toZero.{u4} S₁ (AddCommMonoid.toAddMonoid.{u4} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))))) (DistribSMul.toSMulZeroClass.{u3, u4} R S₁ (AddMonoid.toAddZeroClass.{u4} S₁ (AddCommMonoid.toAddMonoid.{u4} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))))) (DistribMulAction.toDistribSMul.{u3, u4} R S₁ (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (AddCommMonoid.toAddMonoid.{u4} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2))))) (Module.toDistribMulAction.{u3, u4} R S₁ (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))) (Algebra.toModule.{u3, u4} R S₁ _inst_1 (CommSemiring.toSemiring.{u4} S₁ _inst_2) _inst_3))))) (DistribMulActionHomClass.toSMulHomClass.{max (max u4 u1) u3, u3, max u1 u3, u4} (AlgHom.{u3, max u3 u1, u4} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))))) (AddCommMonoid.toAddMonoid.{u4} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2))))) (Module.toDistribMulAction.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Algebra.toModule.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)))) (Module.toDistribMulAction.{u3, u4} R S₁ (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))) (Algebra.toModule.{u3, u4} R S₁ _inst_1 (CommSemiring.toSemiring.{u4} S₁ _inst_2) _inst_3)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max (max u4 u1) u3, u3, max u1 u3, u4} (AlgHom.{u3, max u3 u1, u4} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2))) (Module.toDistribMulAction.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Algebra.toModule.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)))) (Module.toDistribMulAction.{u3, u4} R S₁ (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))) (Algebra.toModule.{u3, u4} R S₁ _inst_1 (CommSemiring.toSemiring.{u4} S₁ _inst_2) _inst_3)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u3, max u1 u3, u4, max (max u4 u1) u3} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3 (AlgHom.{u3, max u3 u1, u4} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3) (AlgHom.algHomClass.{u3, max u1 u3, u4} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3))))) (MvPolynomial.aeval.{u3, u4, u1} R S₁ σ _inst_1 _inst_2 _inst_3 f) (Finset.sum.{max u1 u3, u2} (MvPolynomial.{u1, u3} σ R _inst_1) ι (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) s (fun (i : ι) => φ i))) (Finset.sum.{u4, u2} S₁ ι (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))) s (fun (i : ι) => FunLike.coe.{max (max (succ u4) (succ u1)) (succ u3), max (succ u1) (succ u3), succ u4} (AlgHom.{u3, max u3 u1, u4} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3) (MvPolynomial.{u1, u3} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u3} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u1, u3} σ R _inst_1) => S₁) _x) (SMulHomClass.toFunLike.{max (max u4 u1) u3, u3, max u1 u3, u4} (AlgHom.{u3, max u3 u1, u4} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ (SMulZeroClass.toSMul.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (AddMonoid.toZero.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))))) (DistribSMul.toSMulZeroClass.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))))) (DistribMulAction.toDistribSMul.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))))) (Module.toDistribMulAction.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Algebra.toModule.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1))))))) (SMulZeroClass.toSMul.{u3, u4} R S₁ (AddMonoid.toZero.{u4} S₁ (AddCommMonoid.toAddMonoid.{u4} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))))) (DistribSMul.toSMulZeroClass.{u3, u4} R S₁ (AddMonoid.toAddZeroClass.{u4} S₁ (AddCommMonoid.toAddMonoid.{u4} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))))) (DistribMulAction.toDistribSMul.{u3, u4} R S₁ (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (AddCommMonoid.toAddMonoid.{u4} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2))))) (Module.toDistribMulAction.{u3, u4} R S₁ (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))) (Algebra.toModule.{u3, u4} R S₁ _inst_1 (CommSemiring.toSemiring.{u4} S₁ _inst_2) _inst_3))))) (DistribMulActionHomClass.toSMulHomClass.{max (max u4 u1) u3, u3, max u1 u3, u4} (AlgHom.{u3, max u3 u1, u4} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))))) (AddCommMonoid.toAddMonoid.{u4} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2))))) (Module.toDistribMulAction.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Algebra.toModule.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)))) (Module.toDistribMulAction.{u3, u4} R S₁ (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))) (Algebra.toModule.{u3, u4} R S₁ _inst_1 (CommSemiring.toSemiring.{u4} S₁ _inst_2) _inst_3)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max (max u4 u1) u3, u3, max u1 u3, u4} (AlgHom.{u3, max u3 u1, u4} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2))) (Module.toDistribMulAction.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Algebra.toModule.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)))) (Module.toDistribMulAction.{u3, u4} R S₁ (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))) (Algebra.toModule.{u3, u4} R S₁ _inst_1 (CommSemiring.toSemiring.{u4} S₁ _inst_2) _inst_3)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u3, max u1 u3, u4, max (max u4 u1) u3} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3 (AlgHom.{u3, max u3 u1, u4} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3) (AlgHom.algHomClass.{u3, max u1 u3, u4} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3))))) (MvPolynomial.aeval.{u3, u4, u1} R S₁ σ _inst_1 _inst_2 _inst_3 f) (φ i)))
+  forall {R : Type.{u3}} {S₁ : Type.{u4}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u3} R] [_inst_2 : CommSemiring.{u4} S₁] [_inst_3 : Algebra.{u3, u4} R S₁ _inst_1 (CommSemiring.toSemiring.{u4} S₁ _inst_2)] (f : σ -> S₁) {ι : Type.{u2}} (s : Finset.{u2} ι) (φ : ι -> (MvPolynomial.{u1, u3} σ R _inst_1)), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : MvPolynomial.{u1, u3} σ R _inst_1) => S₁) (Finset.sum.{max u1 u3, u2} (MvPolynomial.{u1, u3} σ R _inst_1) ι (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) s (fun (i : ι) => φ i))) (FunLike.coe.{max (max (succ u4) (succ u1)) (succ u3), max (succ u1) (succ u3), succ u4} (AlgHom.{u3, max u3 u1, u4} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3) (MvPolynomial.{u1, u3} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u3} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : MvPolynomial.{u1, u3} σ R _inst_1) => S₁) _x) (SMulHomClass.toFunLike.{max (max u4 u1) u3, u3, max u1 u3, u4} (AlgHom.{u3, max u3 u1, u4} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ (SMulZeroClass.toSMul.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (AddMonoid.toZero.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))))) (DistribSMul.toSMulZeroClass.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))))) (DistribMulAction.toDistribSMul.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))))) (Module.toDistribMulAction.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Algebra.toModule.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1))))))) (SMulZeroClass.toSMul.{u3, u4} R S₁ (AddMonoid.toZero.{u4} S₁ (AddCommMonoid.toAddMonoid.{u4} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))))) (DistribSMul.toSMulZeroClass.{u3, u4} R S₁ (AddMonoid.toAddZeroClass.{u4} S₁ (AddCommMonoid.toAddMonoid.{u4} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))))) (DistribMulAction.toDistribSMul.{u3, u4} R S₁ (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (AddCommMonoid.toAddMonoid.{u4} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2))))) (Module.toDistribMulAction.{u3, u4} R S₁ (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))) (Algebra.toModule.{u3, u4} R S₁ _inst_1 (CommSemiring.toSemiring.{u4} S₁ _inst_2) _inst_3))))) (DistribMulActionHomClass.toSMulHomClass.{max (max u4 u1) u3, u3, max u1 u3, u4} (AlgHom.{u3, max u3 u1, u4} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))))) (AddCommMonoid.toAddMonoid.{u4} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2))))) (Module.toDistribMulAction.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Algebra.toModule.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)))) (Module.toDistribMulAction.{u3, u4} R S₁ (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))) (Algebra.toModule.{u3, u4} R S₁ _inst_1 (CommSemiring.toSemiring.{u4} S₁ _inst_2) _inst_3)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max (max u4 u1) u3, u3, max u1 u3, u4} (AlgHom.{u3, max u3 u1, u4} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2))) (Module.toDistribMulAction.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Algebra.toModule.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)))) (Module.toDistribMulAction.{u3, u4} R S₁ (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))) (Algebra.toModule.{u3, u4} R S₁ _inst_1 (CommSemiring.toSemiring.{u4} S₁ _inst_2) _inst_3)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u3, max u1 u3, u4, max (max u4 u1) u3} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3 (AlgHom.{u3, max u3 u1, u4} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3) (AlgHom.algHomClass.{u3, max u1 u3, u4} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3))))) (MvPolynomial.aeval.{u3, u4, u1} R S₁ σ _inst_1 _inst_2 _inst_3 f) (Finset.sum.{max u1 u3, u2} (MvPolynomial.{u1, u3} σ R _inst_1) ι (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) s (fun (i : ι) => φ i))) (Finset.sum.{u4, u2} S₁ ι (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))) s (fun (i : ι) => FunLike.coe.{max (max (succ u4) (succ u1)) (succ u3), max (succ u1) (succ u3), succ u4} (AlgHom.{u3, max u3 u1, u4} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3) (MvPolynomial.{u1, u3} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u3} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : MvPolynomial.{u1, u3} σ R _inst_1) => S₁) _x) (SMulHomClass.toFunLike.{max (max u4 u1) u3, u3, max u1 u3, u4} (AlgHom.{u3, max u3 u1, u4} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ (SMulZeroClass.toSMul.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (AddMonoid.toZero.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))))) (DistribSMul.toSMulZeroClass.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))))) (DistribMulAction.toDistribSMul.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))))) (Module.toDistribMulAction.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Algebra.toModule.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1))))))) (SMulZeroClass.toSMul.{u3, u4} R S₁ (AddMonoid.toZero.{u4} S₁ (AddCommMonoid.toAddMonoid.{u4} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))))) (DistribSMul.toSMulZeroClass.{u3, u4} R S₁ (AddMonoid.toAddZeroClass.{u4} S₁ (AddCommMonoid.toAddMonoid.{u4} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))))) (DistribMulAction.toDistribSMul.{u3, u4} R S₁ (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (AddCommMonoid.toAddMonoid.{u4} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2))))) (Module.toDistribMulAction.{u3, u4} R S₁ (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))) (Algebra.toModule.{u3, u4} R S₁ _inst_1 (CommSemiring.toSemiring.{u4} S₁ _inst_2) _inst_3))))) (DistribMulActionHomClass.toSMulHomClass.{max (max u4 u1) u3, u3, max u1 u3, u4} (AlgHom.{u3, max u3 u1, u4} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))))) (AddCommMonoid.toAddMonoid.{u4} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2))))) (Module.toDistribMulAction.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Algebra.toModule.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)))) (Module.toDistribMulAction.{u3, u4} R S₁ (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))) (Algebra.toModule.{u3, u4} R S₁ _inst_1 (CommSemiring.toSemiring.{u4} S₁ _inst_2) _inst_3)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max (max u4 u1) u3, u3, max u1 u3, u4} (AlgHom.{u3, max u3 u1, u4} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2))) (Module.toDistribMulAction.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Algebra.toModule.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)))) (Module.toDistribMulAction.{u3, u4} R S₁ (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))) (Algebra.toModule.{u3, u4} R S₁ _inst_1 (CommSemiring.toSemiring.{u4} S₁ _inst_2) _inst_3)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u3, max u1 u3, u4, max (max u4 u1) u3} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3 (AlgHom.{u3, max u3 u1, u4} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3) (AlgHom.algHomClass.{u3, max u1 u3, u4} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3))))) (MvPolynomial.aeval.{u3, u4, u1} R S₁ σ _inst_1 _inst_2 _inst_3 f) (φ i)))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.aeval_sum MvPolynomial.aeval_sumₓ'. -/
 theorem aeval_sum {ι : Type _} (s : Finset ι) (φ : ι → MvPolynomial σ R) :
     aeval f (∑ i in s, φ i) = ∑ i in s, aeval f (φ i) :=
@@ -2786,7 +2786,7 @@ theorem aeval_sum {ι : Type _} (s : Finset ι) (φ : ι → MvPolynomial σ R)
 lean 3 declaration is
   forall {R : Type.{u1}} {S₁ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] [_inst_3 : Algebra.{u1, u2} R S₁ _inst_1 (CommSemiring.toSemiring.{u2} S₁ _inst_2)] (f : σ -> S₁) {ι : Type.{u4}} (s : Finset.{u4} ι) (φ : ι -> (MvPolynomial.{u3, u1} σ R _inst_1)), Eq.{succ u2} S₁ (coeFn.{max (succ (max u3 u1)) (succ u2), max (succ (max u3 u1)) (succ u2)} (AlgHom.{u1, max u3 u1, u2} R (MvPolynomial.{u3, u1} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (CommSemiring.toSemiring.{u2} S₁ _inst_2) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_3) (fun (_x : AlgHom.{u1, max u3 u1, u2} R (MvPolynomial.{u3, u1} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (CommSemiring.toSemiring.{u2} S₁ _inst_2) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_3) => (MvPolynomial.{u3, u1} σ R _inst_1) -> S₁) ([anonymous].{u1, max u3 u1, u2} R (MvPolynomial.{u3, u1} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (CommSemiring.toSemiring.{u2} S₁ _inst_2) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_3) (MvPolynomial.aeval.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 _inst_3 f) (Finset.prod.{max u3 u1, u4} (MvPolynomial.{u3, u1} σ R _inst_1) ι (CommSemiring.toCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) s (fun (i : ι) => φ i))) (Finset.prod.{u2, u4} S₁ ι (CommSemiring.toCommMonoid.{u2} S₁ _inst_2) s (fun (i : ι) => coeFn.{max (succ (max u3 u1)) (succ u2), max (succ (max u3 u1)) (succ u2)} (AlgHom.{u1, max u3 u1, u2} R (MvPolynomial.{u3, u1} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (CommSemiring.toSemiring.{u2} S₁ _inst_2) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_3) (fun (_x : AlgHom.{u1, max u3 u1, u2} R (MvPolynomial.{u3, u1} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (CommSemiring.toSemiring.{u2} S₁ _inst_2) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_3) => (MvPolynomial.{u3, u1} σ R _inst_1) -> S₁) ([anonymous].{u1, max u3 u1, u2} R (MvPolynomial.{u3, u1} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (CommSemiring.toSemiring.{u2} S₁ _inst_2) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_3) (MvPolynomial.aeval.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 _inst_3 f) (φ i)))
 but is expected to have type
-  forall {R : Type.{u3}} {S₁ : Type.{u4}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u3} R] [_inst_2 : CommSemiring.{u4} S₁] [_inst_3 : Algebra.{u3, u4} R S₁ _inst_1 (CommSemiring.toSemiring.{u4} S₁ _inst_2)] (f : σ -> S₁) {ι : Type.{u2}} (s : Finset.{u2} ι) (φ : ι -> (MvPolynomial.{u1, u3} σ R _inst_1)), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u1, u3} σ R _inst_1) => S₁) (Finset.prod.{max u1 u3, u2} (MvPolynomial.{u1, u3} σ R _inst_1) ι (CommSemiring.toCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) s (fun (i : ι) => φ i))) (FunLike.coe.{max (max (succ u4) (succ u1)) (succ u3), max (succ u1) (succ u3), succ u4} (AlgHom.{u3, max u3 u1, u4} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3) (MvPolynomial.{u1, u3} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u3} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u1, u3} σ R _inst_1) => S₁) _x) (SMulHomClass.toFunLike.{max (max u4 u1) u3, u3, max u1 u3, u4} (AlgHom.{u3, max u3 u1, u4} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ (SMulZeroClass.toSMul.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (AddMonoid.toZero.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))))) (DistribSMul.toSMulZeroClass.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))))) (DistribMulAction.toDistribSMul.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))))) (Module.toDistribMulAction.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Algebra.toModule.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1))))))) (SMulZeroClass.toSMul.{u3, u4} R S₁ (AddMonoid.toZero.{u4} S₁ (AddCommMonoid.toAddMonoid.{u4} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))))) (DistribSMul.toSMulZeroClass.{u3, u4} R S₁ (AddMonoid.toAddZeroClass.{u4} S₁ (AddCommMonoid.toAddMonoid.{u4} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))))) (DistribMulAction.toDistribSMul.{u3, u4} R S₁ (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (AddCommMonoid.toAddMonoid.{u4} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2))))) (Module.toDistribMulAction.{u3, u4} R S₁ (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))) (Algebra.toModule.{u3, u4} R S₁ _inst_1 (CommSemiring.toSemiring.{u4} S₁ _inst_2) _inst_3))))) (DistribMulActionHomClass.toSMulHomClass.{max (max u4 u1) u3, u3, max u1 u3, u4} (AlgHom.{u3, max u3 u1, u4} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))))) (AddCommMonoid.toAddMonoid.{u4} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2))))) (Module.toDistribMulAction.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Algebra.toModule.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)))) (Module.toDistribMulAction.{u3, u4} R S₁ (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))) (Algebra.toModule.{u3, u4} R S₁ _inst_1 (CommSemiring.toSemiring.{u4} S₁ _inst_2) _inst_3)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max (max u4 u1) u3, u3, max u1 u3, u4} (AlgHom.{u3, max u3 u1, u4} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2))) (Module.toDistribMulAction.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Algebra.toModule.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)))) (Module.toDistribMulAction.{u3, u4} R S₁ (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))) (Algebra.toModule.{u3, u4} R S₁ _inst_1 (CommSemiring.toSemiring.{u4} S₁ _inst_2) _inst_3)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u3, max u1 u3, u4, max (max u4 u1) u3} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3 (AlgHom.{u3, max u3 u1, u4} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3) (AlgHom.algHomClass.{u3, max u1 u3, u4} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3))))) (MvPolynomial.aeval.{u3, u4, u1} R S₁ σ _inst_1 _inst_2 _inst_3 f) (Finset.prod.{max u1 u3, u2} (MvPolynomial.{u1, u3} σ R _inst_1) ι (CommSemiring.toCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) s (fun (i : ι) => φ i))) (Finset.prod.{u4, u2} S₁ ι (CommSemiring.toCommMonoid.{u4} S₁ _inst_2) s (fun (i : ι) => FunLike.coe.{max (max (succ u4) (succ u1)) (succ u3), max (succ u1) (succ u3), succ u4} (AlgHom.{u3, max u3 u1, u4} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3) (MvPolynomial.{u1, u3} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u3} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u1, u3} σ R _inst_1) => S₁) _x) (SMulHomClass.toFunLike.{max (max u4 u1) u3, u3, max u1 u3, u4} (AlgHom.{u3, max u3 u1, u4} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ (SMulZeroClass.toSMul.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (AddMonoid.toZero.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))))) (DistribSMul.toSMulZeroClass.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))))) (DistribMulAction.toDistribSMul.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))))) (Module.toDistribMulAction.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Algebra.toModule.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1))))))) (SMulZeroClass.toSMul.{u3, u4} R S₁ (AddMonoid.toZero.{u4} S₁ (AddCommMonoid.toAddMonoid.{u4} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))))) (DistribSMul.toSMulZeroClass.{u3, u4} R S₁ (AddMonoid.toAddZeroClass.{u4} S₁ (AddCommMonoid.toAddMonoid.{u4} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))))) (DistribMulAction.toDistribSMul.{u3, u4} R S₁ (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (AddCommMonoid.toAddMonoid.{u4} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2))))) (Module.toDistribMulAction.{u3, u4} R S₁ (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))) (Algebra.toModule.{u3, u4} R S₁ _inst_1 (CommSemiring.toSemiring.{u4} S₁ _inst_2) _inst_3))))) (DistribMulActionHomClass.toSMulHomClass.{max (max u4 u1) u3, u3, max u1 u3, u4} (AlgHom.{u3, max u3 u1, u4} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))))) (AddCommMonoid.toAddMonoid.{u4} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2))))) (Module.toDistribMulAction.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Algebra.toModule.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)))) (Module.toDistribMulAction.{u3, u4} R S₁ (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))) (Algebra.toModule.{u3, u4} R S₁ _inst_1 (CommSemiring.toSemiring.{u4} S₁ _inst_2) _inst_3)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max (max u4 u1) u3, u3, max u1 u3, u4} (AlgHom.{u3, max u3 u1, u4} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2))) (Module.toDistribMulAction.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Algebra.toModule.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)))) (Module.toDistribMulAction.{u3, u4} R S₁ (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))) (Algebra.toModule.{u3, u4} R S₁ _inst_1 (CommSemiring.toSemiring.{u4} S₁ _inst_2) _inst_3)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u3, max u1 u3, u4, max (max u4 u1) u3} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3 (AlgHom.{u3, max u3 u1, u4} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3) (AlgHom.algHomClass.{u3, max u1 u3, u4} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3))))) (MvPolynomial.aeval.{u3, u4, u1} R S₁ σ _inst_1 _inst_2 _inst_3 f) (φ i)))
+  forall {R : Type.{u3}} {S₁ : Type.{u4}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u3} R] [_inst_2 : CommSemiring.{u4} S₁] [_inst_3 : Algebra.{u3, u4} R S₁ _inst_1 (CommSemiring.toSemiring.{u4} S₁ _inst_2)] (f : σ -> S₁) {ι : Type.{u2}} (s : Finset.{u2} ι) (φ : ι -> (MvPolynomial.{u1, u3} σ R _inst_1)), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : MvPolynomial.{u1, u3} σ R _inst_1) => S₁) (Finset.prod.{max u1 u3, u2} (MvPolynomial.{u1, u3} σ R _inst_1) ι (CommSemiring.toCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) s (fun (i : ι) => φ i))) (FunLike.coe.{max (max (succ u4) (succ u1)) (succ u3), max (succ u1) (succ u3), succ u4} (AlgHom.{u3, max u3 u1, u4} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3) (MvPolynomial.{u1, u3} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u3} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : MvPolynomial.{u1, u3} σ R _inst_1) => S₁) _x) (SMulHomClass.toFunLike.{max (max u4 u1) u3, u3, max u1 u3, u4} (AlgHom.{u3, max u3 u1, u4} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ (SMulZeroClass.toSMul.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (AddMonoid.toZero.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))))) (DistribSMul.toSMulZeroClass.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))))) (DistribMulAction.toDistribSMul.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))))) (Module.toDistribMulAction.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Algebra.toModule.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1))))))) (SMulZeroClass.toSMul.{u3, u4} R S₁ (AddMonoid.toZero.{u4} S₁ (AddCommMonoid.toAddMonoid.{u4} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))))) (DistribSMul.toSMulZeroClass.{u3, u4} R S₁ (AddMonoid.toAddZeroClass.{u4} S₁ (AddCommMonoid.toAddMonoid.{u4} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))))) (DistribMulAction.toDistribSMul.{u3, u4} R S₁ (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (AddCommMonoid.toAddMonoid.{u4} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2))))) (Module.toDistribMulAction.{u3, u4} R S₁ (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))) (Algebra.toModule.{u3, u4} R S₁ _inst_1 (CommSemiring.toSemiring.{u4} S₁ _inst_2) _inst_3))))) (DistribMulActionHomClass.toSMulHomClass.{max (max u4 u1) u3, u3, max u1 u3, u4} (AlgHom.{u3, max u3 u1, u4} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))))) (AddCommMonoid.toAddMonoid.{u4} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2))))) (Module.toDistribMulAction.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Algebra.toModule.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)))) (Module.toDistribMulAction.{u3, u4} R S₁ (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))) (Algebra.toModule.{u3, u4} R S₁ _inst_1 (CommSemiring.toSemiring.{u4} S₁ _inst_2) _inst_3)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max (max u4 u1) u3, u3, max u1 u3, u4} (AlgHom.{u3, max u3 u1, u4} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2))) (Module.toDistribMulAction.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Algebra.toModule.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)))) (Module.toDistribMulAction.{u3, u4} R S₁ (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))) (Algebra.toModule.{u3, u4} R S₁ _inst_1 (CommSemiring.toSemiring.{u4} S₁ _inst_2) _inst_3)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u3, max u1 u3, u4, max (max u4 u1) u3} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3 (AlgHom.{u3, max u3 u1, u4} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3) (AlgHom.algHomClass.{u3, max u1 u3, u4} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3))))) (MvPolynomial.aeval.{u3, u4, u1} R S₁ σ _inst_1 _inst_2 _inst_3 f) (Finset.prod.{max u1 u3, u2} (MvPolynomial.{u1, u3} σ R _inst_1) ι (CommSemiring.toCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) s (fun (i : ι) => φ i))) (Finset.prod.{u4, u2} S₁ ι (CommSemiring.toCommMonoid.{u4} S₁ _inst_2) s (fun (i : ι) => FunLike.coe.{max (max (succ u4) (succ u1)) (succ u3), max (succ u1) (succ u3), succ u4} (AlgHom.{u3, max u3 u1, u4} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3) (MvPolynomial.{u1, u3} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u3} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : MvPolynomial.{u1, u3} σ R _inst_1) => S₁) _x) (SMulHomClass.toFunLike.{max (max u4 u1) u3, u3, max u1 u3, u4} (AlgHom.{u3, max u3 u1, u4} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ (SMulZeroClass.toSMul.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (AddMonoid.toZero.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))))) (DistribSMul.toSMulZeroClass.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))))) (DistribMulAction.toDistribSMul.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))))) (Module.toDistribMulAction.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Algebra.toModule.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1))))))) (SMulZeroClass.toSMul.{u3, u4} R S₁ (AddMonoid.toZero.{u4} S₁ (AddCommMonoid.toAddMonoid.{u4} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))))) (DistribSMul.toSMulZeroClass.{u3, u4} R S₁ (AddMonoid.toAddZeroClass.{u4} S₁ (AddCommMonoid.toAddMonoid.{u4} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))))) (DistribMulAction.toDistribSMul.{u3, u4} R S₁ (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (AddCommMonoid.toAddMonoid.{u4} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2))))) (Module.toDistribMulAction.{u3, u4} R S₁ (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))) (Algebra.toModule.{u3, u4} R S₁ _inst_1 (CommSemiring.toSemiring.{u4} S₁ _inst_2) _inst_3))))) (DistribMulActionHomClass.toSMulHomClass.{max (max u4 u1) u3, u3, max u1 u3, u4} (AlgHom.{u3, max u3 u1, u4} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))))) (AddCommMonoid.toAddMonoid.{u4} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2))))) (Module.toDistribMulAction.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Algebra.toModule.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)))) (Module.toDistribMulAction.{u3, u4} R S₁ (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))) (Algebra.toModule.{u3, u4} R S₁ _inst_1 (CommSemiring.toSemiring.{u4} S₁ _inst_2) _inst_3)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max (max u4 u1) u3, u3, max u1 u3, u4} (AlgHom.{u3, max u3 u1, u4} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2))) (Module.toDistribMulAction.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Algebra.toModule.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)))) (Module.toDistribMulAction.{u3, u4} R S₁ (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))) (Algebra.toModule.{u3, u4} R S₁ _inst_1 (CommSemiring.toSemiring.{u4} S₁ _inst_2) _inst_3)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u3, max u1 u3, u4, max (max u4 u1) u3} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3 (AlgHom.{u3, max u3 u1, u4} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3) (AlgHom.algHomClass.{u3, max u1 u3, u4} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3))))) (MvPolynomial.aeval.{u3, u4, u1} R S₁ σ _inst_1 _inst_2 _inst_3 f) (φ i)))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.aeval_prod MvPolynomial.aeval_prodₓ'. -/
 @[to_additive]
 theorem aeval_prod {ι : Type _} (s : Finset ι) (φ : ι → MvPolynomial σ R) :
@@ -2840,7 +2840,7 @@ variable (g : R →ₐ[S] A) (y : σ → A)
 lean 3 declaration is
   forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {S : Type.{u3}} {A : Type.{u4}} [_inst_3 : CommSemiring.{u3} S] [_inst_4 : CommSemiring.{u4} A] [_inst_6 : Algebra.{u3, u1} S R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_1)] [_inst_7 : Algebra.{u3, u4} S A _inst_3 (CommSemiring.toSemiring.{u4} A _inst_4)] (g : AlgHom.{u3, u1, u4} S R A _inst_3 (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u4} A _inst_4) _inst_6 _inst_7) (y : σ -> A) (i : σ), Eq.{succ u4} A (coeFn.{max (succ (max u2 u1)) (succ u4), max (succ (max u2 u1)) (succ u4)} (AlgHom.{u3, max u2 u1, u4} S (MvPolynomial.{u2, u1} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u4} A _inst_4) (MvPolynomial.algebra.{u3, u1, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) (fun (_x : AlgHom.{u3, max u2 u1, u4} S (MvPolynomial.{u2, u1} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u4} A _inst_4) (MvPolynomial.algebra.{u3, u1, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) => (MvPolynomial.{u2, u1} σ R _inst_1) -> A) ([anonymous].{u3, max u2 u1, u4} S (MvPolynomial.{u2, u1} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u4} A _inst_4) (MvPolynomial.algebra.{u3, u1, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) (MvPolynomial.aevalTower.{u1, u2, u3, u4} R σ _inst_1 S A _inst_3 _inst_4 _inst_6 _inst_7 g y) (MvPolynomial.X.{u1, u2} R σ _inst_1 i)) (y i)
 but is expected to have type
-  forall {R : Type.{u4}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u4} R] {S : Type.{u1}} {A : Type.{u3}} [_inst_3 : CommSemiring.{u1} S] [_inst_4 : CommSemiring.{u3} A] [_inst_6 : Algebra.{u1, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1)] [_inst_7 : Algebra.{u1, u3} S A _inst_3 (CommSemiring.toSemiring.{u3} A _inst_4)] (g : AlgHom.{u1, u4, u3} S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7) (y : σ -> A) (i : σ), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u2, u4} σ R _inst_1) => A) (MvPolynomial.X.{u4, u2} R σ _inst_1 i)) (FunLike.coe.{max (max (succ u4) (succ u2)) (succ u3), max (succ u4) (succ u2), succ u3} (AlgHom.{u1, max u4 u2, u3} S (MvPolynomial.{u2, u4} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u3} A _inst_4) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) (MvPolynomial.{u2, u4} σ R _inst_1) (fun (_x : MvPolynomial.{u2, u4} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u2, u4} σ R _inst_1) => A) _x) (SMulHomClass.toFunLike.{max (max u4 u2) u3, u1, max u4 u2, u3} (AlgHom.{u1, max u4 u2, u3} S (MvPolynomial.{u2, u4} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u3} A _inst_4) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) S (MvPolynomial.{u2, u4} σ R _inst_1) A (SMulZeroClass.toSMul.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (AddMonoid.toZero.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))))) (DistribSMul.toSMulZeroClass.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))))) (DistribMulAction.toDistribSMul.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (AddCommMonoid.toAddMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))))) (Module.toDistribMulAction.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))) (Algebra.toModule.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6)))))) (SMulZeroClass.toSMul.{u1, u3} S A (AddMonoid.toZero.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))))) (DistribSMul.toSMulZeroClass.{u1, u3} S A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))))) (DistribMulAction.toDistribSMul.{u1, u3} S A (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4))))) (Module.toDistribMulAction.{u1, u3} S A (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))) (Algebra.toModule.{u1, u3} S A _inst_3 (CommSemiring.toSemiring.{u3} A _inst_4) _inst_7))))) (DistribMulActionHomClass.toSMulHomClass.{max (max u4 u2) u3, u1, max u4 u2, u3} (AlgHom.{u1, max u4 u2, u3} S (MvPolynomial.{u2, u4} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u3} A _inst_4) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) S (MvPolynomial.{u2, u4} σ R _inst_1) A (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (AddCommMonoid.toAddMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))))) (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4))))) (Module.toDistribMulAction.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))) (Algebra.toModule.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6))) (Module.toDistribMulAction.{u1, u3} S A (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))) (Algebra.toModule.{u1, u3} S A _inst_3 (CommSemiring.toSemiring.{u3} A _inst_4) _inst_7)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max (max u4 u2) u3, u1, max u4 u2, u3} (AlgHom.{u1, max u4 u2, u3} S (MvPolynomial.{u2, u4} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u3} A _inst_4) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) S (MvPolynomial.{u2, u4} σ R _inst_1) A (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4))) (Module.toDistribMulAction.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))) (Algebra.toModule.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6))) (Module.toDistribMulAction.{u1, u3} S A (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))) (Algebra.toModule.{u1, u3} S A _inst_3 (CommSemiring.toSemiring.{u3} A _inst_4) _inst_7)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u1, max u4 u2, u3, max (max u4 u2) u3} S (MvPolynomial.{u2, u4} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u3} A _inst_4) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7 (AlgHom.{u1, max u4 u2, u3} S (MvPolynomial.{u2, u4} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u3} A _inst_4) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) (AlgHom.algHomClass.{u1, max u4 u2, u3} S (MvPolynomial.{u2, u4} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u3} A _inst_4) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7))))) (MvPolynomial.aevalTower.{u4, u2, u1, u3} R σ _inst_1 S A _inst_3 _inst_4 _inst_6 _inst_7 g y) (MvPolynomial.X.{u4, u2} R σ _inst_1 i)) (y i)
+  forall {R : Type.{u4}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u4} R] {S : Type.{u1}} {A : Type.{u3}} [_inst_3 : CommSemiring.{u1} S] [_inst_4 : CommSemiring.{u3} A] [_inst_6 : Algebra.{u1, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1)] [_inst_7 : Algebra.{u1, u3} S A _inst_3 (CommSemiring.toSemiring.{u3} A _inst_4)] (g : AlgHom.{u1, u4, u3} S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7) (y : σ -> A) (i : σ), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : MvPolynomial.{u2, u4} σ R _inst_1) => A) (MvPolynomial.X.{u4, u2} R σ _inst_1 i)) (FunLike.coe.{max (max (succ u4) (succ u2)) (succ u3), max (succ u4) (succ u2), succ u3} (AlgHom.{u1, max u4 u2, u3} S (MvPolynomial.{u2, u4} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u3} A _inst_4) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) (MvPolynomial.{u2, u4} σ R _inst_1) (fun (_x : MvPolynomial.{u2, u4} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : MvPolynomial.{u2, u4} σ R _inst_1) => A) _x) (SMulHomClass.toFunLike.{max (max u4 u2) u3, u1, max u4 u2, u3} (AlgHom.{u1, max u4 u2, u3} S (MvPolynomial.{u2, u4} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u3} A _inst_4) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) S (MvPolynomial.{u2, u4} σ R _inst_1) A (SMulZeroClass.toSMul.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (AddMonoid.toZero.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))))) (DistribSMul.toSMulZeroClass.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))))) (DistribMulAction.toDistribSMul.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (AddCommMonoid.toAddMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))))) (Module.toDistribMulAction.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))) (Algebra.toModule.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6)))))) (SMulZeroClass.toSMul.{u1, u3} S A (AddMonoid.toZero.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))))) (DistribSMul.toSMulZeroClass.{u1, u3} S A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))))) (DistribMulAction.toDistribSMul.{u1, u3} S A (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4))))) (Module.toDistribMulAction.{u1, u3} S A (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))) (Algebra.toModule.{u1, u3} S A _inst_3 (CommSemiring.toSemiring.{u3} A _inst_4) _inst_7))))) (DistribMulActionHomClass.toSMulHomClass.{max (max u4 u2) u3, u1, max u4 u2, u3} (AlgHom.{u1, max u4 u2, u3} S (MvPolynomial.{u2, u4} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u3} A _inst_4) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) S (MvPolynomial.{u2, u4} σ R _inst_1) A (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (AddCommMonoid.toAddMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))))) (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4))))) (Module.toDistribMulAction.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))) (Algebra.toModule.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6))) (Module.toDistribMulAction.{u1, u3} S A (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))) (Algebra.toModule.{u1, u3} S A _inst_3 (CommSemiring.toSemiring.{u3} A _inst_4) _inst_7)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max (max u4 u2) u3, u1, max u4 u2, u3} (AlgHom.{u1, max u4 u2, u3} S (MvPolynomial.{u2, u4} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u3} A _inst_4) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) S (MvPolynomial.{u2, u4} σ R _inst_1) A (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4))) (Module.toDistribMulAction.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))) (Algebra.toModule.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6))) (Module.toDistribMulAction.{u1, u3} S A (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))) (Algebra.toModule.{u1, u3} S A _inst_3 (CommSemiring.toSemiring.{u3} A _inst_4) _inst_7)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u1, max u4 u2, u3, max (max u4 u2) u3} S (MvPolynomial.{u2, u4} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u3} A _inst_4) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7 (AlgHom.{u1, max u4 u2, u3} S (MvPolynomial.{u2, u4} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u3} A _inst_4) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) (AlgHom.algHomClass.{u1, max u4 u2, u3} S (MvPolynomial.{u2, u4} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u3} A _inst_4) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7))))) (MvPolynomial.aevalTower.{u4, u2, u1, u3} R σ _inst_1 S A _inst_3 _inst_4 _inst_6 _inst_7 g y) (MvPolynomial.X.{u4, u2} R σ _inst_1 i)) (y i)
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.aeval_tower_X MvPolynomial.aevalTower_Xₓ'. -/
 @[simp]
 theorem aevalTower_X (i : σ) : aevalTower g y (X i) = y i :=
@@ -2851,7 +2851,7 @@ theorem aevalTower_X (i : σ) : aevalTower g y (X i) = y i :=
 lean 3 declaration is
   forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {S : Type.{u3}} {A : Type.{u4}} [_inst_3 : CommSemiring.{u3} S] [_inst_4 : CommSemiring.{u4} A] [_inst_6 : Algebra.{u3, u1} S R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_1)] [_inst_7 : Algebra.{u3, u4} S A _inst_3 (CommSemiring.toSemiring.{u4} A _inst_4)] (g : AlgHom.{u3, u1, u4} S R A _inst_3 (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u4} A _inst_4) _inst_6 _inst_7) (y : σ -> A) (x : R), Eq.{succ u4} A (coeFn.{max (succ (max u2 u1)) (succ u4), max (succ (max u2 u1)) (succ u4)} (AlgHom.{u3, max u2 u1, u4} S (MvPolynomial.{u2, u1} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u4} A _inst_4) (MvPolynomial.algebra.{u3, u1, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) (fun (_x : AlgHom.{u3, max u2 u1, u4} S (MvPolynomial.{u2, u1} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u4} A _inst_4) (MvPolynomial.algebra.{u3, u1, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) => (MvPolynomial.{u2, u1} σ R _inst_1) -> A) ([anonymous].{u3, max u2 u1, u4} S (MvPolynomial.{u2, u1} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u4} A _inst_4) (MvPolynomial.algebra.{u3, u1, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) (MvPolynomial.aevalTower.{u1, u2, u3, u4} R σ _inst_1 S A _inst_3 _inst_4 _inst_6 _inst_7 g y) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (fun (_x : RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (MvPolynomial.C.{u1, u2} R σ _inst_1) x)) (coeFn.{max (succ u1) (succ u4), max (succ u1) (succ u4)} (AlgHom.{u3, u1, u4} S R A _inst_3 (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u4} A _inst_4) _inst_6 _inst_7) (fun (_x : AlgHom.{u3, u1, u4} S R A _inst_3 (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u4} A _inst_4) _inst_6 _inst_7) => R -> A) ([anonymous].{u3, u1, u4} S R A _inst_3 (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u4} A _inst_4) _inst_6 _inst_7) g x)
 but is expected to have type
-  forall {R : Type.{u4}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u4} R] {S : Type.{u1}} {A : Type.{u3}} [_inst_3 : CommSemiring.{u1} S] [_inst_4 : CommSemiring.{u3} A] [_inst_6 : Algebra.{u1, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1)] [_inst_7 : Algebra.{u1, u3} S A _inst_3 (CommSemiring.toSemiring.{u3} A _inst_4)] (g : AlgHom.{u1, u4, u3} S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7) (y : σ -> A) (x : R), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u2, u4} σ R _inst_1) => A) (FunLike.coe.{max (succ u2) (succ u4), succ u4, max (succ u2) (succ u4)} (RingHom.{u4, max u4 u2} R (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))) R (fun (a : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u2, u4} σ R _inst_1) a) (MulHomClass.toFunLike.{max u2 u4, u4, max u2 u4} (RingHom.{u4, max u4 u2} R (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))) R (MvPolynomial.{u2, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u2 u4} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u4} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u4, u4, max u2 u4} (RingHom.{u4, max u4 u2} R (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))) R (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u4} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u4, u4, max u2 u4} (RingHom.{u4, max u4 u2} R (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))) R (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u4, max u2 u4} R (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))))) (MvPolynomial.C.{u4, u2} R σ _inst_1) x)) (FunLike.coe.{max (max (succ u4) (succ u2)) (succ u3), max (succ u4) (succ u2), succ u3} (AlgHom.{u1, max u4 u2, u3} S (MvPolynomial.{u2, u4} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u3} A _inst_4) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) (MvPolynomial.{u2, u4} σ R _inst_1) (fun (_x : MvPolynomial.{u2, u4} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u2, u4} σ R _inst_1) => A) _x) (SMulHomClass.toFunLike.{max (max u4 u2) u3, u1, max u4 u2, u3} (AlgHom.{u1, max u4 u2, u3} S (MvPolynomial.{u2, u4} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u3} A _inst_4) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) S (MvPolynomial.{u2, u4} σ R _inst_1) A (SMulZeroClass.toSMul.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (AddMonoid.toZero.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))))) (DistribSMul.toSMulZeroClass.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))))) (DistribMulAction.toDistribSMul.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (AddCommMonoid.toAddMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))))) (Module.toDistribMulAction.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))) (Algebra.toModule.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6)))))) (SMulZeroClass.toSMul.{u1, u3} S A (AddMonoid.toZero.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))))) (DistribSMul.toSMulZeroClass.{u1, u3} S A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))))) (DistribMulAction.toDistribSMul.{u1, u3} S A (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4))))) (Module.toDistribMulAction.{u1, u3} S A (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))) (Algebra.toModule.{u1, u3} S A _inst_3 (CommSemiring.toSemiring.{u3} A _inst_4) _inst_7))))) (DistribMulActionHomClass.toSMulHomClass.{max (max u4 u2) u3, u1, max u4 u2, u3} (AlgHom.{u1, max u4 u2, u3} S (MvPolynomial.{u2, u4} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u3} A _inst_4) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) S (MvPolynomial.{u2, u4} σ R _inst_1) A (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (AddCommMonoid.toAddMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))))) (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4))))) (Module.toDistribMulAction.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))) (Algebra.toModule.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6))) (Module.toDistribMulAction.{u1, u3} S A (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))) (Algebra.toModule.{u1, u3} S A _inst_3 (CommSemiring.toSemiring.{u3} A _inst_4) _inst_7)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max (max u4 u2) u3, u1, max u4 u2, u3} (AlgHom.{u1, max u4 u2, u3} S (MvPolynomial.{u2, u4} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u3} A _inst_4) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) S (MvPolynomial.{u2, u4} σ R _inst_1) A (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4))) (Module.toDistribMulAction.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))) (Algebra.toModule.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6))) (Module.toDistribMulAction.{u1, u3} S A (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))) (Algebra.toModule.{u1, u3} S A _inst_3 (CommSemiring.toSemiring.{u3} A _inst_4) _inst_7)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u1, max u4 u2, u3, max (max u4 u2) u3} S (MvPolynomial.{u2, u4} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u3} A _inst_4) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7 (AlgHom.{u1, max u4 u2, u3} S (MvPolynomial.{u2, u4} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u3} A _inst_4) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) (AlgHom.algHomClass.{u1, max u4 u2, u3} S (MvPolynomial.{u2, u4} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u3} A _inst_4) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7))))) (MvPolynomial.aevalTower.{u4, u2, u1, u3} R σ _inst_1 S A _inst_3 _inst_4 _inst_6 _inst_7 g y) (FunLike.coe.{max (succ u2) (succ u4), succ u4, max (succ u2) (succ u4)} (RingHom.{u4, max u4 u2} R (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u2, u4} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u2 u4, u4, max u2 u4} (RingHom.{u4, max u4 u2} R (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))) R (MvPolynomial.{u2, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u2 u4} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u4} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u4, u4, max u2 u4} (RingHom.{u4, max u4 u2} R (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))) R (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u4} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u4, u4, max u2 u4} (RingHom.{u4, max u4 u2} R (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))) R (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u4, max u2 u4} R (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))))) (MvPolynomial.C.{u4, u2} R σ _inst_1) x)) (FunLike.coe.{max (succ u4) (succ u3), succ u4, succ u3} (AlgHom.{u1, u4, u3} S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : R) => A) _x) (SMulHomClass.toFunLike.{max u4 u3, u1, u4, u3} (AlgHom.{u1, u4, u3} S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7) S R A (SMulZeroClass.toSMul.{u1, u4} S R (AddMonoid.toZero.{u4} R (AddCommMonoid.toAddMonoid.{u4} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))))) (DistribSMul.toSMulZeroClass.{u1, u4} S R (AddMonoid.toAddZeroClass.{u4} R (AddCommMonoid.toAddMonoid.{u4} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))))) (DistribMulAction.toDistribSMul.{u1, u4} S R (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (AddCommMonoid.toAddMonoid.{u4} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))))) (Module.toDistribMulAction.{u1, u4} S R (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (Algebra.toModule.{u1, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) _inst_6))))) (SMulZeroClass.toSMul.{u1, u3} S A (AddMonoid.toZero.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))))) (DistribSMul.toSMulZeroClass.{u1, u3} S A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))))) (DistribMulAction.toDistribSMul.{u1, u3} S A (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4))))) (Module.toDistribMulAction.{u1, u3} S A (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))) (Algebra.toModule.{u1, u3} S A _inst_3 (CommSemiring.toSemiring.{u3} A _inst_4) _inst_7))))) (DistribMulActionHomClass.toSMulHomClass.{max u4 u3, u1, u4, u3} (AlgHom.{u1, u4, u3} S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7) S R A (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (AddCommMonoid.toAddMonoid.{u4} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))))) (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4))))) (Module.toDistribMulAction.{u1, u4} S R (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (Algebra.toModule.{u1, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) _inst_6)) (Module.toDistribMulAction.{u1, u3} S A (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))) (Algebra.toModule.{u1, u3} S A _inst_3 (CommSemiring.toSemiring.{u3} A _inst_4) _inst_7)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max u4 u3, u1, u4, u3} (AlgHom.{u1, u4, u3} S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7) S R A (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4))) (Module.toDistribMulAction.{u1, u4} S R (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (Algebra.toModule.{u1, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) _inst_6)) (Module.toDistribMulAction.{u1, u3} S A (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))) (Algebra.toModule.{u1, u3} S A _inst_3 (CommSemiring.toSemiring.{u3} A _inst_4) _inst_7)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u1, u4, u3, max u4 u3} S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7 (AlgHom.{u1, u4, u3} S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7) (AlgHom.algHomClass.{u1, u4, u3} S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7))))) g x)
+  forall {R : Type.{u4}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u4} R] {S : Type.{u1}} {A : Type.{u3}} [_inst_3 : CommSemiring.{u1} S] [_inst_4 : CommSemiring.{u3} A] [_inst_6 : Algebra.{u1, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1)] [_inst_7 : Algebra.{u1, u3} S A _inst_3 (CommSemiring.toSemiring.{u3} A _inst_4)] (g : AlgHom.{u1, u4, u3} S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7) (y : σ -> A) (x : R), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : MvPolynomial.{u2, u4} σ R _inst_1) => A) (FunLike.coe.{max (succ u2) (succ u4), succ u4, max (succ u2) (succ u4)} (RingHom.{u4, max u4 u2} R (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))) R (fun (a : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u2, u4} σ R _inst_1) a) (MulHomClass.toFunLike.{max u2 u4, u4, max u2 u4} (RingHom.{u4, max u4 u2} R (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))) R (MvPolynomial.{u2, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u2 u4} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u4} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u4, u4, max u2 u4} (RingHom.{u4, max u4 u2} R (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))) R (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u4} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u4, u4, max u2 u4} (RingHom.{u4, max u4 u2} R (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))) R (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u4, max u2 u4} R (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))))) (MvPolynomial.C.{u4, u2} R σ _inst_1) x)) (FunLike.coe.{max (max (succ u4) (succ u2)) (succ u3), max (succ u4) (succ u2), succ u3} (AlgHom.{u1, max u4 u2, u3} S (MvPolynomial.{u2, u4} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u3} A _inst_4) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) (MvPolynomial.{u2, u4} σ R _inst_1) (fun (_x : MvPolynomial.{u2, u4} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : MvPolynomial.{u2, u4} σ R _inst_1) => A) _x) (SMulHomClass.toFunLike.{max (max u4 u2) u3, u1, max u4 u2, u3} (AlgHom.{u1, max u4 u2, u3} S (MvPolynomial.{u2, u4} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u3} A _inst_4) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) S (MvPolynomial.{u2, u4} σ R _inst_1) A (SMulZeroClass.toSMul.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (AddMonoid.toZero.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))))) (DistribSMul.toSMulZeroClass.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))))) (DistribMulAction.toDistribSMul.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (AddCommMonoid.toAddMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))))) (Module.toDistribMulAction.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))) (Algebra.toModule.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6)))))) (SMulZeroClass.toSMul.{u1, u3} S A (AddMonoid.toZero.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))))) (DistribSMul.toSMulZeroClass.{u1, u3} S A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))))) (DistribMulAction.toDistribSMul.{u1, u3} S A (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4))))) (Module.toDistribMulAction.{u1, u3} S A (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))) (Algebra.toModule.{u1, u3} S A _inst_3 (CommSemiring.toSemiring.{u3} A _inst_4) _inst_7))))) (DistribMulActionHomClass.toSMulHomClass.{max (max u4 u2) u3, u1, max u4 u2, u3} (AlgHom.{u1, max u4 u2, u3} S (MvPolynomial.{u2, u4} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u3} A _inst_4) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) S (MvPolynomial.{u2, u4} σ R _inst_1) A (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (AddCommMonoid.toAddMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))))) (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4))))) (Module.toDistribMulAction.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))) (Algebra.toModule.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6))) (Module.toDistribMulAction.{u1, u3} S A (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))) (Algebra.toModule.{u1, u3} S A _inst_3 (CommSemiring.toSemiring.{u3} A _inst_4) _inst_7)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max (max u4 u2) u3, u1, max u4 u2, u3} (AlgHom.{u1, max u4 u2, u3} S (MvPolynomial.{u2, u4} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u3} A _inst_4) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) S (MvPolynomial.{u2, u4} σ R _inst_1) A (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4))) (Module.toDistribMulAction.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))) (Algebra.toModule.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6))) (Module.toDistribMulAction.{u1, u3} S A (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))) (Algebra.toModule.{u1, u3} S A _inst_3 (CommSemiring.toSemiring.{u3} A _inst_4) _inst_7)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u1, max u4 u2, u3, max (max u4 u2) u3} S (MvPolynomial.{u2, u4} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u3} A _inst_4) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7 (AlgHom.{u1, max u4 u2, u3} S (MvPolynomial.{u2, u4} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u3} A _inst_4) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) (AlgHom.algHomClass.{u1, max u4 u2, u3} S (MvPolynomial.{u2, u4} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u3} A _inst_4) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7))))) (MvPolynomial.aevalTower.{u4, u2, u1, u3} R σ _inst_1 S A _inst_3 _inst_4 _inst_6 _inst_7 g y) (FunLike.coe.{max (succ u2) (succ u4), succ u4, max (succ u2) (succ u4)} (RingHom.{u4, max u4 u2} R (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u2, u4} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u2 u4, u4, max u2 u4} (RingHom.{u4, max u4 u2} R (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))) R (MvPolynomial.{u2, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u2 u4} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u4} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u4, u4, max u2 u4} (RingHom.{u4, max u4 u2} R (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))) R (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u4} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u4, u4, max u2 u4} (RingHom.{u4, max u4 u2} R (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))) R (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u4, max u2 u4} R (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))))) (MvPolynomial.C.{u4, u2} R σ _inst_1) x)) (FunLike.coe.{max (succ u4) (succ u3), succ u4, succ u3} (AlgHom.{u1, u4, u3} S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : R) => A) _x) (SMulHomClass.toFunLike.{max u4 u3, u1, u4, u3} (AlgHom.{u1, u4, u3} S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7) S R A (SMulZeroClass.toSMul.{u1, u4} S R (AddMonoid.toZero.{u4} R (AddCommMonoid.toAddMonoid.{u4} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))))) (DistribSMul.toSMulZeroClass.{u1, u4} S R (AddMonoid.toAddZeroClass.{u4} R (AddCommMonoid.toAddMonoid.{u4} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))))) (DistribMulAction.toDistribSMul.{u1, u4} S R (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (AddCommMonoid.toAddMonoid.{u4} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))))) (Module.toDistribMulAction.{u1, u4} S R (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (Algebra.toModule.{u1, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) _inst_6))))) (SMulZeroClass.toSMul.{u1, u3} S A (AddMonoid.toZero.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))))) (DistribSMul.toSMulZeroClass.{u1, u3} S A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))))) (DistribMulAction.toDistribSMul.{u1, u3} S A (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4))))) (Module.toDistribMulAction.{u1, u3} S A (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))) (Algebra.toModule.{u1, u3} S A _inst_3 (CommSemiring.toSemiring.{u3} A _inst_4) _inst_7))))) (DistribMulActionHomClass.toSMulHomClass.{max u4 u3, u1, u4, u3} (AlgHom.{u1, u4, u3} S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7) S R A (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (AddCommMonoid.toAddMonoid.{u4} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))))) (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4))))) (Module.toDistribMulAction.{u1, u4} S R (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (Algebra.toModule.{u1, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) _inst_6)) (Module.toDistribMulAction.{u1, u3} S A (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))) (Algebra.toModule.{u1, u3} S A _inst_3 (CommSemiring.toSemiring.{u3} A _inst_4) _inst_7)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max u4 u3, u1, u4, u3} (AlgHom.{u1, u4, u3} S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7) S R A (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4))) (Module.toDistribMulAction.{u1, u4} S R (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (Algebra.toModule.{u1, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) _inst_6)) (Module.toDistribMulAction.{u1, u3} S A (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))) (Algebra.toModule.{u1, u3} S A _inst_3 (CommSemiring.toSemiring.{u3} A _inst_4) _inst_7)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u1, u4, u3, max u4 u3} S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7 (AlgHom.{u1, u4, u3} S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7) (AlgHom.algHomClass.{u1, u4, u3} S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7))))) g x)
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.aeval_tower_C MvPolynomial.aevalTower_Cₓ'. -/
 @[simp]
 theorem aevalTower_C (x : R) : aevalTower g y (C x) = g x :=
@@ -2873,7 +2873,7 @@ theorem aevalTower_comp_C : (aevalTower g y : MvPolynomial σ R →+* A).comp C
 lean 3 declaration is
   forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {S : Type.{u3}} {A : Type.{u4}} [_inst_3 : CommSemiring.{u3} S] [_inst_4 : CommSemiring.{u4} A] [_inst_6 : Algebra.{u3, u1} S R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_1)] [_inst_7 : Algebra.{u3, u4} S A _inst_3 (CommSemiring.toSemiring.{u4} A _inst_4)] (g : AlgHom.{u3, u1, u4} S R A _inst_3 (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u4} A _inst_4) _inst_6 _inst_7) (y : σ -> A) (x : R), Eq.{succ u4} A (coeFn.{max (succ (max u2 u1)) (succ u4), max (succ (max u2 u1)) (succ u4)} (AlgHom.{u3, max u2 u1, u4} S (MvPolynomial.{u2, u1} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u4} A _inst_4) (MvPolynomial.algebra.{u3, u1, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) (fun (_x : AlgHom.{u3, max u2 u1, u4} S (MvPolynomial.{u2, u1} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u4} A _inst_4) (MvPolynomial.algebra.{u3, u1, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) => (MvPolynomial.{u2, u1} σ R _inst_1) -> A) ([anonymous].{u3, max u2 u1, u4} S (MvPolynomial.{u2, u1} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u4} A _inst_4) (MvPolynomial.algebra.{u3, u1, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) (MvPolynomial.aevalTower.{u1, u2, u3, u4} R σ _inst_1 S A _inst_3 _inst_4 _inst_6 _inst_7 g y) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (fun (_x : RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (algebraMap.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1))) x)) (coeFn.{max (succ u1) (succ u4), max (succ u1) (succ u4)} (AlgHom.{u3, u1, u4} S R A _inst_3 (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u4} A _inst_4) _inst_6 _inst_7) (fun (_x : AlgHom.{u3, u1, u4} S R A _inst_3 (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u4} A _inst_4) _inst_6 _inst_7) => R -> A) ([anonymous].{u3, u1, u4} S R A _inst_3 (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u4} A _inst_4) _inst_6 _inst_7) g x)
 but is expected to have type
-  forall {R : Type.{u4}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u4} R] {S : Type.{u1}} {A : Type.{u3}} [_inst_3 : CommSemiring.{u1} S] [_inst_4 : CommSemiring.{u3} A] [_inst_6 : Algebra.{u1, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1)] [_inst_7 : Algebra.{u1, u3} S A _inst_3 (CommSemiring.toSemiring.{u3} A _inst_4)] (g : AlgHom.{u1, u4, u3} S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7) (y : σ -> A) (x : R), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u2, u4} σ R _inst_1) => A) (FunLike.coe.{max (succ u4) (succ u2), succ u4, max (succ u4) (succ u2)} (RingHom.{u4, max u4 u2} R (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))) R (fun (a : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u2, u4} σ R _inst_1) a) (MulHomClass.toFunLike.{max u4 u2, u4, max u4 u2} (RingHom.{u4, max u4 u2} R (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))) R (MvPolynomial.{u2, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u4 u2, u4, max u4 u2} (RingHom.{u4, max u4 u2} R (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))) R (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u4 u2, u4, max u4 u2} (RingHom.{u4, max u4 u2} R (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))) R (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u4, max u4 u2} R (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))))) (algebraMap.{u4, max u4 u2} R (MvPolynomial.{u2, u4} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (MvPolynomial.algebra.{u4, u4, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u4} R _inst_1))) x)) (FunLike.coe.{max (max (succ u4) (succ u2)) (succ u3), max (succ u4) (succ u2), succ u3} (AlgHom.{u1, max u4 u2, u3} S (MvPolynomial.{u2, u4} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u3} A _inst_4) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) (MvPolynomial.{u2, u4} σ R _inst_1) (fun (_x : MvPolynomial.{u2, u4} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u2, u4} σ R _inst_1) => A) _x) (SMulHomClass.toFunLike.{max (max u4 u2) u3, u1, max u4 u2, u3} (AlgHom.{u1, max u4 u2, u3} S (MvPolynomial.{u2, u4} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u3} A _inst_4) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) S (MvPolynomial.{u2, u4} σ R _inst_1) A (SMulZeroClass.toSMul.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (AddMonoid.toZero.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))))) (DistribSMul.toSMulZeroClass.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))))) (DistribMulAction.toDistribSMul.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (AddCommMonoid.toAddMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))))) (Module.toDistribMulAction.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))) (Algebra.toModule.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6)))))) (SMulZeroClass.toSMul.{u1, u3} S A (AddMonoid.toZero.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))))) (DistribSMul.toSMulZeroClass.{u1, u3} S A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))))) (DistribMulAction.toDistribSMul.{u1, u3} S A (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4))))) (Module.toDistribMulAction.{u1, u3} S A (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))) (Algebra.toModule.{u1, u3} S A _inst_3 (CommSemiring.toSemiring.{u3} A _inst_4) _inst_7))))) (DistribMulActionHomClass.toSMulHomClass.{max (max u4 u2) u3, u1, max u4 u2, u3} (AlgHom.{u1, max u4 u2, u3} S (MvPolynomial.{u2, u4} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u3} A _inst_4) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) S (MvPolynomial.{u2, u4} σ R _inst_1) A (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (AddCommMonoid.toAddMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))))) (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4))))) (Module.toDistribMulAction.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))) (Algebra.toModule.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6))) (Module.toDistribMulAction.{u1, u3} S A (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))) (Algebra.toModule.{u1, u3} S A _inst_3 (CommSemiring.toSemiring.{u3} A _inst_4) _inst_7)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max (max u4 u2) u3, u1, max u4 u2, u3} (AlgHom.{u1, max u4 u2, u3} S (MvPolynomial.{u2, u4} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u3} A _inst_4) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) S (MvPolynomial.{u2, u4} σ R _inst_1) A (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4))) (Module.toDistribMulAction.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))) (Algebra.toModule.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6))) (Module.toDistribMulAction.{u1, u3} S A (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))) (Algebra.toModule.{u1, u3} S A _inst_3 (CommSemiring.toSemiring.{u3} A _inst_4) _inst_7)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u1, max u4 u2, u3, max (max u4 u2) u3} S (MvPolynomial.{u2, u4} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u3} A _inst_4) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7 (AlgHom.{u1, max u4 u2, u3} S (MvPolynomial.{u2, u4} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u3} A _inst_4) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) (AlgHom.algHomClass.{u1, max u4 u2, u3} S (MvPolynomial.{u2, u4} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u3} A _inst_4) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7))))) (MvPolynomial.aevalTower.{u4, u2, u1, u3} R σ _inst_1 S A _inst_3 _inst_4 _inst_6 _inst_7 g y) (FunLike.coe.{max (succ u4) (succ u2), succ u4, max (succ u4) (succ u2)} (RingHom.{u4, max u4 u2} R (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u2, u4} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u4 u2, u4, max u4 u2} (RingHom.{u4, max u4 u2} R (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))) R (MvPolynomial.{u2, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u4 u2, u4, max u4 u2} (RingHom.{u4, max u4 u2} R (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))) R (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u4 u2, u4, max u4 u2} (RingHom.{u4, max u4 u2} R (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))) R (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u4, max u4 u2} R (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))))) (algebraMap.{u4, max u4 u2} R (MvPolynomial.{u2, u4} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (MvPolynomial.algebra.{u4, u4, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u4} R _inst_1))) x)) (FunLike.coe.{max (succ u4) (succ u3), succ u4, succ u3} (AlgHom.{u1, u4, u3} S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : R) => A) _x) (SMulHomClass.toFunLike.{max u4 u3, u1, u4, u3} (AlgHom.{u1, u4, u3} S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7) S R A (SMulZeroClass.toSMul.{u1, u4} S R (AddMonoid.toZero.{u4} R (AddCommMonoid.toAddMonoid.{u4} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))))) (DistribSMul.toSMulZeroClass.{u1, u4} S R (AddMonoid.toAddZeroClass.{u4} R (AddCommMonoid.toAddMonoid.{u4} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))))) (DistribMulAction.toDistribSMul.{u1, u4} S R (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (AddCommMonoid.toAddMonoid.{u4} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))))) (Module.toDistribMulAction.{u1, u4} S R (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (Algebra.toModule.{u1, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) _inst_6))))) (SMulZeroClass.toSMul.{u1, u3} S A (AddMonoid.toZero.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))))) (DistribSMul.toSMulZeroClass.{u1, u3} S A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))))) (DistribMulAction.toDistribSMul.{u1, u3} S A (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4))))) (Module.toDistribMulAction.{u1, u3} S A (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))) (Algebra.toModule.{u1, u3} S A _inst_3 (CommSemiring.toSemiring.{u3} A _inst_4) _inst_7))))) (DistribMulActionHomClass.toSMulHomClass.{max u4 u3, u1, u4, u3} (AlgHom.{u1, u4, u3} S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7) S R A (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (AddCommMonoid.toAddMonoid.{u4} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))))) (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4))))) (Module.toDistribMulAction.{u1, u4} S R (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (Algebra.toModule.{u1, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) _inst_6)) (Module.toDistribMulAction.{u1, u3} S A (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))) (Algebra.toModule.{u1, u3} S A _inst_3 (CommSemiring.toSemiring.{u3} A _inst_4) _inst_7)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max u4 u3, u1, u4, u3} (AlgHom.{u1, u4, u3} S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7) S R A (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4))) (Module.toDistribMulAction.{u1, u4} S R (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (Algebra.toModule.{u1, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) _inst_6)) (Module.toDistribMulAction.{u1, u3} S A (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))) (Algebra.toModule.{u1, u3} S A _inst_3 (CommSemiring.toSemiring.{u3} A _inst_4) _inst_7)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u1, u4, u3, max u4 u3} S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7 (AlgHom.{u1, u4, u3} S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7) (AlgHom.algHomClass.{u1, u4, u3} S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7))))) g x)
+  forall {R : Type.{u4}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u4} R] {S : Type.{u1}} {A : Type.{u3}} [_inst_3 : CommSemiring.{u1} S] [_inst_4 : CommSemiring.{u3} A] [_inst_6 : Algebra.{u1, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1)] [_inst_7 : Algebra.{u1, u3} S A _inst_3 (CommSemiring.toSemiring.{u3} A _inst_4)] (g : AlgHom.{u1, u4, u3} S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7) (y : σ -> A) (x : R), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : MvPolynomial.{u2, u4} σ R _inst_1) => A) (FunLike.coe.{max (succ u4) (succ u2), succ u4, max (succ u4) (succ u2)} (RingHom.{u4, max u4 u2} R (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))) R (fun (a : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u2, u4} σ R _inst_1) a) (MulHomClass.toFunLike.{max u4 u2, u4, max u4 u2} (RingHom.{u4, max u4 u2} R (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))) R (MvPolynomial.{u2, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u4 u2, u4, max u4 u2} (RingHom.{u4, max u4 u2} R (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))) R (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u4 u2, u4, max u4 u2} (RingHom.{u4, max u4 u2} R (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))) R (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u4, max u4 u2} R (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))))) (algebraMap.{u4, max u4 u2} R (MvPolynomial.{u2, u4} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (MvPolynomial.algebra.{u4, u4, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u4} R _inst_1))) x)) (FunLike.coe.{max (max (succ u4) (succ u2)) (succ u3), max (succ u4) (succ u2), succ u3} (AlgHom.{u1, max u4 u2, u3} S (MvPolynomial.{u2, u4} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u3} A _inst_4) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) (MvPolynomial.{u2, u4} σ R _inst_1) (fun (_x : MvPolynomial.{u2, u4} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : MvPolynomial.{u2, u4} σ R _inst_1) => A) _x) (SMulHomClass.toFunLike.{max (max u4 u2) u3, u1, max u4 u2, u3} (AlgHom.{u1, max u4 u2, u3} S (MvPolynomial.{u2, u4} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u3} A _inst_4) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) S (MvPolynomial.{u2, u4} σ R _inst_1) A (SMulZeroClass.toSMul.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (AddMonoid.toZero.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))))) (DistribSMul.toSMulZeroClass.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))))) (DistribMulAction.toDistribSMul.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (AddCommMonoid.toAddMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))))) (Module.toDistribMulAction.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))) (Algebra.toModule.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6)))))) (SMulZeroClass.toSMul.{u1, u3} S A (AddMonoid.toZero.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))))) (DistribSMul.toSMulZeroClass.{u1, u3} S A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))))) (DistribMulAction.toDistribSMul.{u1, u3} S A (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4))))) (Module.toDistribMulAction.{u1, u3} S A (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))) (Algebra.toModule.{u1, u3} S A _inst_3 (CommSemiring.toSemiring.{u3} A _inst_4) _inst_7))))) (DistribMulActionHomClass.toSMulHomClass.{max (max u4 u2) u3, u1, max u4 u2, u3} (AlgHom.{u1, max u4 u2, u3} S (MvPolynomial.{u2, u4} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u3} A _inst_4) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) S (MvPolynomial.{u2, u4} σ R _inst_1) A (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (AddCommMonoid.toAddMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))))) (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4))))) (Module.toDistribMulAction.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))) (Algebra.toModule.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6))) (Module.toDistribMulAction.{u1, u3} S A (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))) (Algebra.toModule.{u1, u3} S A _inst_3 (CommSemiring.toSemiring.{u3} A _inst_4) _inst_7)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max (max u4 u2) u3, u1, max u4 u2, u3} (AlgHom.{u1, max u4 u2, u3} S (MvPolynomial.{u2, u4} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u3} A _inst_4) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) S (MvPolynomial.{u2, u4} σ R _inst_1) A (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4))) (Module.toDistribMulAction.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))) (Algebra.toModule.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6))) (Module.toDistribMulAction.{u1, u3} S A (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))) (Algebra.toModule.{u1, u3} S A _inst_3 (CommSemiring.toSemiring.{u3} A _inst_4) _inst_7)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u1, max u4 u2, u3, max (max u4 u2) u3} S (MvPolynomial.{u2, u4} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u3} A _inst_4) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7 (AlgHom.{u1, max u4 u2, u3} S (MvPolynomial.{u2, u4} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u3} A _inst_4) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) (AlgHom.algHomClass.{u1, max u4 u2, u3} S (MvPolynomial.{u2, u4} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u3} A _inst_4) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7))))) (MvPolynomial.aevalTower.{u4, u2, u1, u3} R σ _inst_1 S A _inst_3 _inst_4 _inst_6 _inst_7 g y) (FunLike.coe.{max (succ u4) (succ u2), succ u4, max (succ u4) (succ u2)} (RingHom.{u4, max u4 u2} R (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u2, u4} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u4 u2, u4, max u4 u2} (RingHom.{u4, max u4 u2} R (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))) R (MvPolynomial.{u2, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u4 u2, u4, max u4 u2} (RingHom.{u4, max u4 u2} R (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))) R (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u4 u2, u4, max u4 u2} (RingHom.{u4, max u4 u2} R (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))) R (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u4, max u4 u2} R (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))))) (algebraMap.{u4, max u4 u2} R (MvPolynomial.{u2, u4} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (MvPolynomial.algebra.{u4, u4, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u4} R _inst_1))) x)) (FunLike.coe.{max (succ u4) (succ u3), succ u4, succ u3} (AlgHom.{u1, u4, u3} S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : R) => A) _x) (SMulHomClass.toFunLike.{max u4 u3, u1, u4, u3} (AlgHom.{u1, u4, u3} S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7) S R A (SMulZeroClass.toSMul.{u1, u4} S R (AddMonoid.toZero.{u4} R (AddCommMonoid.toAddMonoid.{u4} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))))) (DistribSMul.toSMulZeroClass.{u1, u4} S R (AddMonoid.toAddZeroClass.{u4} R (AddCommMonoid.toAddMonoid.{u4} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))))) (DistribMulAction.toDistribSMul.{u1, u4} S R (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (AddCommMonoid.toAddMonoid.{u4} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))))) (Module.toDistribMulAction.{u1, u4} S R (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (Algebra.toModule.{u1, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) _inst_6))))) (SMulZeroClass.toSMul.{u1, u3} S A (AddMonoid.toZero.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))))) (DistribSMul.toSMulZeroClass.{u1, u3} S A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))))) (DistribMulAction.toDistribSMul.{u1, u3} S A (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4))))) (Module.toDistribMulAction.{u1, u3} S A (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))) (Algebra.toModule.{u1, u3} S A _inst_3 (CommSemiring.toSemiring.{u3} A _inst_4) _inst_7))))) (DistribMulActionHomClass.toSMulHomClass.{max u4 u3, u1, u4, u3} (AlgHom.{u1, u4, u3} S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7) S R A (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (AddCommMonoid.toAddMonoid.{u4} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))))) (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4))))) (Module.toDistribMulAction.{u1, u4} S R (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (Algebra.toModule.{u1, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) _inst_6)) (Module.toDistribMulAction.{u1, u3} S A (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))) (Algebra.toModule.{u1, u3} S A _inst_3 (CommSemiring.toSemiring.{u3} A _inst_4) _inst_7)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max u4 u3, u1, u4, u3} (AlgHom.{u1, u4, u3} S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7) S R A (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4))) (Module.toDistribMulAction.{u1, u4} S R (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (Algebra.toModule.{u1, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) _inst_6)) (Module.toDistribMulAction.{u1, u3} S A (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))) (Algebra.toModule.{u1, u3} S A _inst_3 (CommSemiring.toSemiring.{u3} A _inst_4) _inst_7)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u1, u4, u3, max u4 u3} S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7 (AlgHom.{u1, u4, u3} S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7) (AlgHom.algHomClass.{u1, u4, u3} S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7))))) g x)
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.aeval_tower_algebra_map MvPolynomial.aevalTower_algebraMapₓ'. -/
 @[simp]
 theorem aevalTower_algebraMap (x : R) : aevalTower g y (algebraMap R (MvPolynomial σ R) x) = g x :=
@@ -2896,7 +2896,7 @@ theorem aevalTower_comp_algebraMap :
 lean 3 declaration is
   forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {S : Type.{u3}} {A : Type.{u4}} [_inst_3 : CommSemiring.{u3} S] [_inst_4 : CommSemiring.{u4} A] [_inst_6 : Algebra.{u3, u1} S R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_1)] [_inst_7 : Algebra.{u3, u4} S A _inst_3 (CommSemiring.toSemiring.{u4} A _inst_4)] (g : AlgHom.{u3, u1, u4} S R A _inst_3 (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u4} A _inst_4) _inst_6 _inst_7) (y : σ -> A) (x : R), Eq.{succ u4} A (coeFn.{max (succ (max u2 u1)) (succ u4), max (succ (max u2 u1)) (succ u4)} (AlgHom.{u3, max u2 u1, u4} S (MvPolynomial.{u2, u1} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u4} A _inst_4) (MvPolynomial.algebra.{u3, u1, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) (fun (_x : AlgHom.{u3, max u2 u1, u4} S (MvPolynomial.{u2, u1} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u4} A _inst_4) (MvPolynomial.algebra.{u3, u1, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) => (MvPolynomial.{u2, u1} σ R _inst_1) -> A) ([anonymous].{u3, max u2 u1, u4} S (MvPolynomial.{u2, u1} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u4} A _inst_4) (MvPolynomial.algebra.{u3, u1, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) (MvPolynomial.aevalTower.{u1, u2, u3, u4} R σ _inst_1 S A _inst_3 _inst_4 _inst_6 _inst_7 g y) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (AlgHom.{u3, u1, max u2 u1} S R (MvPolynomial.{u2, u1} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) _inst_6 (MvPolynomial.algebra.{u3, u1, u2} S R σ _inst_3 _inst_1 _inst_6)) (fun (_x : AlgHom.{u3, u1, max u2 u1} S R (MvPolynomial.{u2, u1} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) _inst_6 (MvPolynomial.algebra.{u3, u1, u2} S R σ _inst_3 _inst_1 _inst_6)) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) ([anonymous].{u3, u1, max u2 u1} S R (MvPolynomial.{u2, u1} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) _inst_6 (MvPolynomial.algebra.{u3, u1, u2} S R σ _inst_3 _inst_1 _inst_6)) (IsScalarTower.toAlgHom.{u3, u1, max u2 u1} S R (MvPolynomial.{u2, u1} σ R _inst_1) _inst_3 _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) _inst_6 (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) (MvPolynomial.algebra.{u3, u1, u2} S R σ _inst_3 _inst_1 _inst_6) (MvPolynomial.isScalarTower.{u3, u1, u1, u2} S R R σ _inst_1 (SMulZeroClass.toHasSmul.{u3, u1} S R (AddZeroClass.toHasZero.{u1} R (AddMonoid.toAddZeroClass.{u1} R (AddCommMonoid.toAddMonoid.{u1} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))))) (SMulWithZero.toSmulZeroClass.{u3, u1} S R (MulZeroClass.toHasZero.{u3} S (MulZeroOneClass.toMulZeroClass.{u3} S (MonoidWithZero.toMulZeroOneClass.{u3} S (Semiring.toMonoidWithZero.{u3} S (CommSemiring.toSemiring.{u3} S _inst_3))))) (AddZeroClass.toHasZero.{u1} R (AddMonoid.toAddZeroClass.{u1} R (AddCommMonoid.toAddMonoid.{u1} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))))) (MulActionWithZero.toSMulWithZero.{u3, u1} S R (Semiring.toMonoidWithZero.{u3} S (CommSemiring.toSemiring.{u3} S _inst_3)) (AddZeroClass.toHasZero.{u1} R (AddMonoid.toAddZeroClass.{u1} R (AddCommMonoid.toAddMonoid.{u1} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))))) (Module.toMulActionWithZero.{u3, u1} S R (CommSemiring.toSemiring.{u3} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (Algebra.toModule.{u3, u1} S R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_1) _inst_6))))) (SMulWithZero.toSmulZeroClass.{u3, u1} S R (MulZeroClass.toHasZero.{u3} S (MulZeroOneClass.toMulZeroClass.{u3} S (MonoidWithZero.toMulZeroOneClass.{u3} S (Semiring.toMonoidWithZero.{u3} S (CommSemiring.toSemiring.{u3} S _inst_3))))) (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (MulActionWithZero.toSMulWithZero.{u3, u1} S R (Semiring.toMonoidWithZero.{u3} S (CommSemiring.toSemiring.{u3} S _inst_3)) (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (Module.toMulActionWithZero.{u3, u1} S R (CommSemiring.toSemiring.{u3} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (Algebra.toModule.{u3, u1} S R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_1) _inst_6)))) (SMulWithZero.toSmulZeroClass.{u1, u1} R R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (MulZeroClass.toSMulWithZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))) (IsScalarTower.right.{u3, u1} S R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_1) _inst_6))) x)) (coeFn.{max (succ u1) (succ u4), max (succ u1) (succ u4)} (AlgHom.{u3, u1, u4} S R A _inst_3 (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u4} A _inst_4) _inst_6 _inst_7) (fun (_x : AlgHom.{u3, u1, u4} S R A _inst_3 (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u4} A _inst_4) _inst_6 _inst_7) => R -> A) ([anonymous].{u3, u1, u4} S R A _inst_3 (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u4} A _inst_4) _inst_6 _inst_7) g x)
 but is expected to have type
-  forall {R : Type.{u4}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u4} R] {S : Type.{u1}} {A : Type.{u3}} [_inst_3 : CommSemiring.{u1} S] [_inst_4 : CommSemiring.{u3} A] [_inst_6 : Algebra.{u1, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1)] [_inst_7 : Algebra.{u1, u3} S A _inst_3 (CommSemiring.toSemiring.{u3} A _inst_4)] (g : AlgHom.{u1, u4, u3} S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7) (y : σ -> A) (x : R), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u2, u4} σ R _inst_1) => A) (FunLike.coe.{max (succ u4) (succ u2), succ u4, max (succ u4) (succ u2)} (AlgHom.{u1, u4, max u4 u2} S R (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) _inst_6 (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6)) R (fun (a : R) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : R) => MvPolynomial.{u2, u4} σ R _inst_1) a) (SMulHomClass.toFunLike.{max u4 u2, u1, u4, max u4 u2} (AlgHom.{u1, u4, max u4 u2} S R (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) _inst_6 (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6)) S R (MvPolynomial.{u2, u4} σ R _inst_1) (SMulZeroClass.toSMul.{u1, u4} S R (AddMonoid.toZero.{u4} R (AddCommMonoid.toAddMonoid.{u4} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))))) (DistribSMul.toSMulZeroClass.{u1, u4} S R (AddMonoid.toAddZeroClass.{u4} R (AddCommMonoid.toAddMonoid.{u4} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))))) (DistribMulAction.toDistribSMul.{u1, u4} S R (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (AddCommMonoid.toAddMonoid.{u4} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))))) (Module.toDistribMulAction.{u1, u4} S R (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (Algebra.toModule.{u1, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) _inst_6))))) (SMulZeroClass.toSMul.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (AddMonoid.toZero.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))))) (DistribSMul.toSMulZeroClass.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))))) (DistribMulAction.toDistribSMul.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (AddCommMonoid.toAddMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))))) (Module.toDistribMulAction.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))) (Algebra.toModule.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6)))))) (DistribMulActionHomClass.toSMulHomClass.{max u4 u2, u1, u4, max u4 u2} (AlgHom.{u1, u4, max u4 u2} S R (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) _inst_6 (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6)) S R (MvPolynomial.{u2, u4} σ R _inst_1) (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (AddCommMonoid.toAddMonoid.{u4} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))))) (AddCommMonoid.toAddMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))))) (Module.toDistribMulAction.{u1, u4} S R (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (Algebra.toModule.{u1, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) _inst_6)) (Module.toDistribMulAction.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))) (Algebra.toModule.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6))) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max u4 u2, u1, u4, max u4 u2} (AlgHom.{u1, u4, max u4 u2} S R (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) _inst_6 (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6)) S R (MvPolynomial.{u2, u4} σ R _inst_1) (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))) (Module.toDistribMulAction.{u1, u4} S R (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (Algebra.toModule.{u1, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) _inst_6)) (Module.toDistribMulAction.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))) (Algebra.toModule.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6))) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u1, u4, max u4 u2, max u4 u2} S R (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) _inst_6 (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) (AlgHom.{u1, u4, max u4 u2} S R (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) _inst_6 (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6)) (AlgHom.algHomClass.{u1, u4, max u4 u2} S R (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) _inst_6 (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6)))))) (IsScalarTower.toAlgHom.{u1, u4, max u4 u2} S R (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 _inst_1 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) _inst_6 (MvPolynomial.algebra.{u4, u4, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u4} R _inst_1)) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) (MvPolynomial.isScalarTower.{u1, u4, u4, u2} S R R σ _inst_1 (Algebra.toSMul.{u1, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) _inst_6) (SMulWithZero.toSMulZeroClass.{u1, u4} S R (CommMonoidWithZero.toZero.{u1} S (CommSemiring.toCommMonoidWithZero.{u1} S _inst_3)) (MonoidWithZero.toZero.{u4} R (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (MulActionWithZero.toSMulWithZero.{u1, u4} S R (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3)) (MonoidWithZero.toZero.{u4} R (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (Module.toMulActionWithZero.{u1, u4} S R (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (Algebra.toModule.{u1, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) _inst_6)))) (SMulWithZero.toSMulZeroClass.{u4, u4} R R (CommMonoidWithZero.toZero.{u4} R (CommSemiring.toCommMonoidWithZero.{u4} R _inst_1)) (MonoidWithZero.toZero.{u4} R (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (MulActionWithZero.toSMulWithZero.{u4, u4} R R (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (MonoidWithZero.toZero.{u4} R (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (Module.toMulActionWithZero.{u4, u4} R R (CommSemiring.toSemiring.{u4} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (Algebra.toModule.{u4, u4} R R _inst_1 (CommSemiring.toSemiring.{u4} R _inst_1) (Algebra.id.{u4} R _inst_1))))) (IsScalarTower.right.{u1, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) _inst_6))) x)) (FunLike.coe.{max (max (succ u4) (succ u2)) (succ u3), max (succ u4) (succ u2), succ u3} (AlgHom.{u1, max u4 u2, u3} S (MvPolynomial.{u2, u4} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u3} A _inst_4) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) (MvPolynomial.{u2, u4} σ R _inst_1) (fun (_x : MvPolynomial.{u2, u4} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u2, u4} σ R _inst_1) => A) _x) (SMulHomClass.toFunLike.{max (max u4 u2) u3, u1, max u4 u2, u3} (AlgHom.{u1, max u4 u2, u3} S (MvPolynomial.{u2, u4} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u3} A _inst_4) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) S (MvPolynomial.{u2, u4} σ R _inst_1) A (SMulZeroClass.toSMul.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (AddMonoid.toZero.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))))) (DistribSMul.toSMulZeroClass.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))))) (DistribMulAction.toDistribSMul.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (AddCommMonoid.toAddMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))))) (Module.toDistribMulAction.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))) (Algebra.toModule.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6)))))) (SMulZeroClass.toSMul.{u1, u3} S A (AddMonoid.toZero.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))))) (DistribSMul.toSMulZeroClass.{u1, u3} S A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))))) (DistribMulAction.toDistribSMul.{u1, u3} S A (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4))))) (Module.toDistribMulAction.{u1, u3} S A (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))) (Algebra.toModule.{u1, u3} S A _inst_3 (CommSemiring.toSemiring.{u3} A _inst_4) _inst_7))))) (DistribMulActionHomClass.toSMulHomClass.{max (max u4 u2) u3, u1, max u4 u2, u3} (AlgHom.{u1, max u4 u2, u3} S (MvPolynomial.{u2, u4} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u3} A _inst_4) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) S (MvPolynomial.{u2, u4} σ R _inst_1) A (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (AddCommMonoid.toAddMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))))) (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4))))) (Module.toDistribMulAction.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))) (Algebra.toModule.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6))) (Module.toDistribMulAction.{u1, u3} S A (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))) (Algebra.toModule.{u1, u3} S A _inst_3 (CommSemiring.toSemiring.{u3} A _inst_4) _inst_7)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max (max u4 u2) u3, u1, max u4 u2, u3} (AlgHom.{u1, max u4 u2, u3} S (MvPolynomial.{u2, u4} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u3} A _inst_4) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) S (MvPolynomial.{u2, u4} σ R _inst_1) A (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4))) (Module.toDistribMulAction.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))) (Algebra.toModule.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6))) (Module.toDistribMulAction.{u1, u3} S A (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))) (Algebra.toModule.{u1, u3} S A _inst_3 (CommSemiring.toSemiring.{u3} A _inst_4) _inst_7)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u1, max u4 u2, u3, max (max u4 u2) u3} S (MvPolynomial.{u2, u4} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u3} A _inst_4) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7 (AlgHom.{u1, max u4 u2, u3} S (MvPolynomial.{u2, u4} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u3} A _inst_4) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) (AlgHom.algHomClass.{u1, max u4 u2, u3} S (MvPolynomial.{u2, u4} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u3} A _inst_4) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7))))) (MvPolynomial.aevalTower.{u4, u2, u1, u3} R σ _inst_1 S A _inst_3 _inst_4 _inst_6 _inst_7 g y) (FunLike.coe.{max (succ u4) (succ u2), succ u4, max (succ u4) (succ u2)} (AlgHom.{u1, u4, max u4 u2} S R (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) _inst_6 (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : R) => MvPolynomial.{u2, u4} σ R _inst_1) _x) (SMulHomClass.toFunLike.{max u4 u2, u1, u4, max u4 u2} (AlgHom.{u1, u4, max u4 u2} S R (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) _inst_6 (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6)) S R (MvPolynomial.{u2, u4} σ R _inst_1) (SMulZeroClass.toSMul.{u1, u4} S R (AddMonoid.toZero.{u4} R (AddCommMonoid.toAddMonoid.{u4} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))))) (DistribSMul.toSMulZeroClass.{u1, u4} S R (AddMonoid.toAddZeroClass.{u4} R (AddCommMonoid.toAddMonoid.{u4} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))))) (DistribMulAction.toDistribSMul.{u1, u4} S R (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (AddCommMonoid.toAddMonoid.{u4} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))))) (Module.toDistribMulAction.{u1, u4} S R (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (Algebra.toModule.{u1, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) _inst_6))))) (SMulZeroClass.toSMul.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (AddMonoid.toZero.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))))) (DistribSMul.toSMulZeroClass.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))))) (DistribMulAction.toDistribSMul.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (AddCommMonoid.toAddMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))))) (Module.toDistribMulAction.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))) (Algebra.toModule.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6)))))) (DistribMulActionHomClass.toSMulHomClass.{max u4 u2, u1, u4, max u4 u2} (AlgHom.{u1, u4, max u4 u2} S R (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) _inst_6 (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6)) S R (MvPolynomial.{u2, u4} σ R _inst_1) (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (AddCommMonoid.toAddMonoid.{u4} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))))) (AddCommMonoid.toAddMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))))) (Module.toDistribMulAction.{u1, u4} S R (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (Algebra.toModule.{u1, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) _inst_6)) (Module.toDistribMulAction.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))) (Algebra.toModule.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6))) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max u4 u2, u1, u4, max u4 u2} (AlgHom.{u1, u4, max u4 u2} S R (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) _inst_6 (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6)) S R (MvPolynomial.{u2, u4} σ R _inst_1) (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))) (Module.toDistribMulAction.{u1, u4} S R (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (Algebra.toModule.{u1, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) _inst_6)) (Module.toDistribMulAction.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))) (Algebra.toModule.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6))) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u1, u4, max u4 u2, max u4 u2} S R (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) _inst_6 (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) (AlgHom.{u1, u4, max u4 u2} S R (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) _inst_6 (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6)) (AlgHom.algHomClass.{u1, u4, max u4 u2} S R (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) _inst_6 (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6)))))) (IsScalarTower.toAlgHom.{u1, u4, max u4 u2} S R (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 _inst_1 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) _inst_6 (MvPolynomial.algebra.{u4, u4, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u4} R _inst_1)) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) (MvPolynomial.isScalarTower.{u1, u4, u4, u2} S R R σ _inst_1 (Algebra.toSMul.{u1, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) _inst_6) (SMulWithZero.toSMulZeroClass.{u1, u4} S R (CommMonoidWithZero.toZero.{u1} S (CommSemiring.toCommMonoidWithZero.{u1} S _inst_3)) (MonoidWithZero.toZero.{u4} R (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (MulActionWithZero.toSMulWithZero.{u1, u4} S R (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3)) (MonoidWithZero.toZero.{u4} R (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (Module.toMulActionWithZero.{u1, u4} S R (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (Algebra.toModule.{u1, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) _inst_6)))) (SMulWithZero.toSMulZeroClass.{u4, u4} R R (CommMonoidWithZero.toZero.{u4} R (CommSemiring.toCommMonoidWithZero.{u4} R _inst_1)) (MonoidWithZero.toZero.{u4} R (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (MulActionWithZero.toSMulWithZero.{u4, u4} R R (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (MonoidWithZero.toZero.{u4} R (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (Module.toMulActionWithZero.{u4, u4} R R (CommSemiring.toSemiring.{u4} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (Algebra.toModule.{u4, u4} R R _inst_1 (CommSemiring.toSemiring.{u4} R _inst_1) (Algebra.id.{u4} R _inst_1))))) (IsScalarTower.right.{u1, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) _inst_6))) x)) (FunLike.coe.{max (succ u4) (succ u3), succ u4, succ u3} (AlgHom.{u1, u4, u3} S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : R) => A) _x) (SMulHomClass.toFunLike.{max u4 u3, u1, u4, u3} (AlgHom.{u1, u4, u3} S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7) S R A (SMulZeroClass.toSMul.{u1, u4} S R (AddMonoid.toZero.{u4} R (AddCommMonoid.toAddMonoid.{u4} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))))) (DistribSMul.toSMulZeroClass.{u1, u4} S R (AddMonoid.toAddZeroClass.{u4} R (AddCommMonoid.toAddMonoid.{u4} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))))) (DistribMulAction.toDistribSMul.{u1, u4} S R (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (AddCommMonoid.toAddMonoid.{u4} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))))) (Module.toDistribMulAction.{u1, u4} S R (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (Algebra.toModule.{u1, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) _inst_6))))) (SMulZeroClass.toSMul.{u1, u3} S A (AddMonoid.toZero.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))))) (DistribSMul.toSMulZeroClass.{u1, u3} S A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))))) (DistribMulAction.toDistribSMul.{u1, u3} S A (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4))))) (Module.toDistribMulAction.{u1, u3} S A (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))) (Algebra.toModule.{u1, u3} S A _inst_3 (CommSemiring.toSemiring.{u3} A _inst_4) _inst_7))))) (DistribMulActionHomClass.toSMulHomClass.{max u4 u3, u1, u4, u3} (AlgHom.{u1, u4, u3} S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7) S R A (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (AddCommMonoid.toAddMonoid.{u4} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))))) (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4))))) (Module.toDistribMulAction.{u1, u4} S R (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (Algebra.toModule.{u1, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) _inst_6)) (Module.toDistribMulAction.{u1, u3} S A (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))) (Algebra.toModule.{u1, u3} S A _inst_3 (CommSemiring.toSemiring.{u3} A _inst_4) _inst_7)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max u4 u3, u1, u4, u3} (AlgHom.{u1, u4, u3} S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7) S R A (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4))) (Module.toDistribMulAction.{u1, u4} S R (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (Algebra.toModule.{u1, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) _inst_6)) (Module.toDistribMulAction.{u1, u3} S A (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))) (Algebra.toModule.{u1, u3} S A _inst_3 (CommSemiring.toSemiring.{u3} A _inst_4) _inst_7)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u1, u4, u3, max u4 u3} S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7 (AlgHom.{u1, u4, u3} S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7) (AlgHom.algHomClass.{u1, u4, u3} S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7))))) g x)
+  forall {R : Type.{u4}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u4} R] {S : Type.{u1}} {A : Type.{u3}} [_inst_3 : CommSemiring.{u1} S] [_inst_4 : CommSemiring.{u3} A] [_inst_6 : Algebra.{u1, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1)] [_inst_7 : Algebra.{u1, u3} S A _inst_3 (CommSemiring.toSemiring.{u3} A _inst_4)] (g : AlgHom.{u1, u4, u3} S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7) (y : σ -> A) (x : R), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : MvPolynomial.{u2, u4} σ R _inst_1) => A) (FunLike.coe.{max (succ u4) (succ u2), succ u4, max (succ u4) (succ u2)} (AlgHom.{u1, u4, max u4 u2} S R (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) _inst_6 (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6)) R (fun (a : R) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : R) => MvPolynomial.{u2, u4} σ R _inst_1) a) (SMulHomClass.toFunLike.{max u4 u2, u1, u4, max u4 u2} (AlgHom.{u1, u4, max u4 u2} S R (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) _inst_6 (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6)) S R (MvPolynomial.{u2, u4} σ R _inst_1) (SMulZeroClass.toSMul.{u1, u4} S R (AddMonoid.toZero.{u4} R (AddCommMonoid.toAddMonoid.{u4} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))))) (DistribSMul.toSMulZeroClass.{u1, u4} S R (AddMonoid.toAddZeroClass.{u4} R (AddCommMonoid.toAddMonoid.{u4} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))))) (DistribMulAction.toDistribSMul.{u1, u4} S R (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (AddCommMonoid.toAddMonoid.{u4} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))))) (Module.toDistribMulAction.{u1, u4} S R (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (Algebra.toModule.{u1, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) _inst_6))))) (SMulZeroClass.toSMul.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (AddMonoid.toZero.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))))) (DistribSMul.toSMulZeroClass.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))))) (DistribMulAction.toDistribSMul.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (AddCommMonoid.toAddMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))))) (Module.toDistribMulAction.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))) (Algebra.toModule.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6)))))) (DistribMulActionHomClass.toSMulHomClass.{max u4 u2, u1, u4, max u4 u2} (AlgHom.{u1, u4, max u4 u2} S R (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) _inst_6 (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6)) S R (MvPolynomial.{u2, u4} σ R _inst_1) (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (AddCommMonoid.toAddMonoid.{u4} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))))) (AddCommMonoid.toAddMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))))) (Module.toDistribMulAction.{u1, u4} S R (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (Algebra.toModule.{u1, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) _inst_6)) (Module.toDistribMulAction.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))) (Algebra.toModule.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6))) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max u4 u2, u1, u4, max u4 u2} (AlgHom.{u1, u4, max u4 u2} S R (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) _inst_6 (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6)) S R (MvPolynomial.{u2, u4} σ R _inst_1) (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))) (Module.toDistribMulAction.{u1, u4} S R (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (Algebra.toModule.{u1, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) _inst_6)) (Module.toDistribMulAction.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))) (Algebra.toModule.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6))) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u1, u4, max u4 u2, max u4 u2} S R (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) _inst_6 (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) (AlgHom.{u1, u4, max u4 u2} S R (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) _inst_6 (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6)) (AlgHom.algHomClass.{u1, u4, max u4 u2} S R (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) _inst_6 (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6)))))) (IsScalarTower.toAlgHom.{u1, u4, max u4 u2} S R (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 _inst_1 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) _inst_6 (MvPolynomial.algebra.{u4, u4, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u4} R _inst_1)) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) (MvPolynomial.isScalarTower.{u1, u4, u4, u2} S R R σ _inst_1 (Algebra.toSMul.{u1, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) _inst_6) (SMulWithZero.toSMulZeroClass.{u1, u4} S R (CommMonoidWithZero.toZero.{u1} S (CommSemiring.toCommMonoidWithZero.{u1} S _inst_3)) (MonoidWithZero.toZero.{u4} R (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (MulActionWithZero.toSMulWithZero.{u1, u4} S R (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3)) (MonoidWithZero.toZero.{u4} R (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (Module.toMulActionWithZero.{u1, u4} S R (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (Algebra.toModule.{u1, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) _inst_6)))) (SMulWithZero.toSMulZeroClass.{u4, u4} R R (CommMonoidWithZero.toZero.{u4} R (CommSemiring.toCommMonoidWithZero.{u4} R _inst_1)) (MonoidWithZero.toZero.{u4} R (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (MulActionWithZero.toSMulWithZero.{u4, u4} R R (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (MonoidWithZero.toZero.{u4} R (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (Module.toMulActionWithZero.{u4, u4} R R (CommSemiring.toSemiring.{u4} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (Algebra.toModule.{u4, u4} R R _inst_1 (CommSemiring.toSemiring.{u4} R _inst_1) (Algebra.id.{u4} R _inst_1))))) (IsScalarTower.right.{u1, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) _inst_6))) x)) (FunLike.coe.{max (max (succ u4) (succ u2)) (succ u3), max (succ u4) (succ u2), succ u3} (AlgHom.{u1, max u4 u2, u3} S (MvPolynomial.{u2, u4} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u3} A _inst_4) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) (MvPolynomial.{u2, u4} σ R _inst_1) (fun (_x : MvPolynomial.{u2, u4} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : MvPolynomial.{u2, u4} σ R _inst_1) => A) _x) (SMulHomClass.toFunLike.{max (max u4 u2) u3, u1, max u4 u2, u3} (AlgHom.{u1, max u4 u2, u3} S (MvPolynomial.{u2, u4} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u3} A _inst_4) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) S (MvPolynomial.{u2, u4} σ R _inst_1) A (SMulZeroClass.toSMul.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (AddMonoid.toZero.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))))) (DistribSMul.toSMulZeroClass.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))))) (DistribMulAction.toDistribSMul.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (AddCommMonoid.toAddMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))))) (Module.toDistribMulAction.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))) (Algebra.toModule.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6)))))) (SMulZeroClass.toSMul.{u1, u3} S A (AddMonoid.toZero.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))))) (DistribSMul.toSMulZeroClass.{u1, u3} S A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))))) (DistribMulAction.toDistribSMul.{u1, u3} S A (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4))))) (Module.toDistribMulAction.{u1, u3} S A (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))) (Algebra.toModule.{u1, u3} S A _inst_3 (CommSemiring.toSemiring.{u3} A _inst_4) _inst_7))))) (DistribMulActionHomClass.toSMulHomClass.{max (max u4 u2) u3, u1, max u4 u2, u3} (AlgHom.{u1, max u4 u2, u3} S (MvPolynomial.{u2, u4} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u3} A _inst_4) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) S (MvPolynomial.{u2, u4} σ R _inst_1) A (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (AddCommMonoid.toAddMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))))) (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4))))) (Module.toDistribMulAction.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))) (Algebra.toModule.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6))) (Module.toDistribMulAction.{u1, u3} S A (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))) (Algebra.toModule.{u1, u3} S A _inst_3 (CommSemiring.toSemiring.{u3} A _inst_4) _inst_7)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max (max u4 u2) u3, u1, max u4 u2, u3} (AlgHom.{u1, max u4 u2, u3} S (MvPolynomial.{u2, u4} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u3} A _inst_4) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) S (MvPolynomial.{u2, u4} σ R _inst_1) A (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4))) (Module.toDistribMulAction.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))) (Algebra.toModule.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6))) (Module.toDistribMulAction.{u1, u3} S A (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))) (Algebra.toModule.{u1, u3} S A _inst_3 (CommSemiring.toSemiring.{u3} A _inst_4) _inst_7)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u1, max u4 u2, u3, max (max u4 u2) u3} S (MvPolynomial.{u2, u4} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u3} A _inst_4) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7 (AlgHom.{u1, max u4 u2, u3} S (MvPolynomial.{u2, u4} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u3} A _inst_4) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) (AlgHom.algHomClass.{u1, max u4 u2, u3} S (MvPolynomial.{u2, u4} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u3} A _inst_4) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7))))) (MvPolynomial.aevalTower.{u4, u2, u1, u3} R σ _inst_1 S A _inst_3 _inst_4 _inst_6 _inst_7 g y) (FunLike.coe.{max (succ u4) (succ u2), succ u4, max (succ u4) (succ u2)} (AlgHom.{u1, u4, max u4 u2} S R (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) _inst_6 (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : R) => MvPolynomial.{u2, u4} σ R _inst_1) _x) (SMulHomClass.toFunLike.{max u4 u2, u1, u4, max u4 u2} (AlgHom.{u1, u4, max u4 u2} S R (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) _inst_6 (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6)) S R (MvPolynomial.{u2, u4} σ R _inst_1) (SMulZeroClass.toSMul.{u1, u4} S R (AddMonoid.toZero.{u4} R (AddCommMonoid.toAddMonoid.{u4} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))))) (DistribSMul.toSMulZeroClass.{u1, u4} S R (AddMonoid.toAddZeroClass.{u4} R (AddCommMonoid.toAddMonoid.{u4} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))))) (DistribMulAction.toDistribSMul.{u1, u4} S R (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (AddCommMonoid.toAddMonoid.{u4} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))))) (Module.toDistribMulAction.{u1, u4} S R (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (Algebra.toModule.{u1, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) _inst_6))))) (SMulZeroClass.toSMul.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (AddMonoid.toZero.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))))) (DistribSMul.toSMulZeroClass.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))))) (DistribMulAction.toDistribSMul.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (AddCommMonoid.toAddMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))))) (Module.toDistribMulAction.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))) (Algebra.toModule.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6)))))) (DistribMulActionHomClass.toSMulHomClass.{max u4 u2, u1, u4, max u4 u2} (AlgHom.{u1, u4, max u4 u2} S R (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) _inst_6 (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6)) S R (MvPolynomial.{u2, u4} σ R _inst_1) (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (AddCommMonoid.toAddMonoid.{u4} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))))) (AddCommMonoid.toAddMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))))) (Module.toDistribMulAction.{u1, u4} S R (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (Algebra.toModule.{u1, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) _inst_6)) (Module.toDistribMulAction.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))) (Algebra.toModule.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6))) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max u4 u2, u1, u4, max u4 u2} (AlgHom.{u1, u4, max u4 u2} S R (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) _inst_6 (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6)) S R (MvPolynomial.{u2, u4} σ R _inst_1) (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))) (Module.toDistribMulAction.{u1, u4} S R (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (Algebra.toModule.{u1, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) _inst_6)) (Module.toDistribMulAction.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))) (Algebra.toModule.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6))) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u1, u4, max u4 u2, max u4 u2} S R (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) _inst_6 (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) (AlgHom.{u1, u4, max u4 u2} S R (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) _inst_6 (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6)) (AlgHom.algHomClass.{u1, u4, max u4 u2} S R (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) _inst_6 (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6)))))) (IsScalarTower.toAlgHom.{u1, u4, max u4 u2} S R (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 _inst_1 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) _inst_6 (MvPolynomial.algebra.{u4, u4, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u4} R _inst_1)) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) (MvPolynomial.isScalarTower.{u1, u4, u4, u2} S R R σ _inst_1 (Algebra.toSMul.{u1, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) _inst_6) (SMulWithZero.toSMulZeroClass.{u1, u4} S R (CommMonoidWithZero.toZero.{u1} S (CommSemiring.toCommMonoidWithZero.{u1} S _inst_3)) (MonoidWithZero.toZero.{u4} R (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (MulActionWithZero.toSMulWithZero.{u1, u4} S R (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3)) (MonoidWithZero.toZero.{u4} R (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (Module.toMulActionWithZero.{u1, u4} S R (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (Algebra.toModule.{u1, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) _inst_6)))) (SMulWithZero.toSMulZeroClass.{u4, u4} R R (CommMonoidWithZero.toZero.{u4} R (CommSemiring.toCommMonoidWithZero.{u4} R _inst_1)) (MonoidWithZero.toZero.{u4} R (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (MulActionWithZero.toSMulWithZero.{u4, u4} R R (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (MonoidWithZero.toZero.{u4} R (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (Module.toMulActionWithZero.{u4, u4} R R (CommSemiring.toSemiring.{u4} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (Algebra.toModule.{u4, u4} R R _inst_1 (CommSemiring.toSemiring.{u4} R _inst_1) (Algebra.id.{u4} R _inst_1))))) (IsScalarTower.right.{u1, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) _inst_6))) x)) (FunLike.coe.{max (succ u4) (succ u3), succ u4, succ u3} (AlgHom.{u1, u4, u3} S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : R) => A) _x) (SMulHomClass.toFunLike.{max u4 u3, u1, u4, u3} (AlgHom.{u1, u4, u3} S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7) S R A (SMulZeroClass.toSMul.{u1, u4} S R (AddMonoid.toZero.{u4} R (AddCommMonoid.toAddMonoid.{u4} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))))) (DistribSMul.toSMulZeroClass.{u1, u4} S R (AddMonoid.toAddZeroClass.{u4} R (AddCommMonoid.toAddMonoid.{u4} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))))) (DistribMulAction.toDistribSMul.{u1, u4} S R (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (AddCommMonoid.toAddMonoid.{u4} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))))) (Module.toDistribMulAction.{u1, u4} S R (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (Algebra.toModule.{u1, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) _inst_6))))) (SMulZeroClass.toSMul.{u1, u3} S A (AddMonoid.toZero.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))))) (DistribSMul.toSMulZeroClass.{u1, u3} S A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))))) (DistribMulAction.toDistribSMul.{u1, u3} S A (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4))))) (Module.toDistribMulAction.{u1, u3} S A (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))) (Algebra.toModule.{u1, u3} S A _inst_3 (CommSemiring.toSemiring.{u3} A _inst_4) _inst_7))))) (DistribMulActionHomClass.toSMulHomClass.{max u4 u3, u1, u4, u3} (AlgHom.{u1, u4, u3} S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7) S R A (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (AddCommMonoid.toAddMonoid.{u4} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))))) (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4))))) (Module.toDistribMulAction.{u1, u4} S R (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (Algebra.toModule.{u1, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) _inst_6)) (Module.toDistribMulAction.{u1, u3} S A (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))) (Algebra.toModule.{u1, u3} S A _inst_3 (CommSemiring.toSemiring.{u3} A _inst_4) _inst_7)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max u4 u3, u1, u4, u3} (AlgHom.{u1, u4, u3} S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7) S R A (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4))) (Module.toDistribMulAction.{u1, u4} S R (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (Algebra.toModule.{u1, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) _inst_6)) (Module.toDistribMulAction.{u1, u3} S A (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))) (Algebra.toModule.{u1, u3} S A _inst_3 (CommSemiring.toSemiring.{u3} A _inst_4) _inst_7)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u1, u4, u3, max u4 u3} S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7 (AlgHom.{u1, u4, u3} S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7) (AlgHom.algHomClass.{u1, u4, u3} S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7))))) g x)
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.aeval_tower_to_alg_hom MvPolynomial.aevalTower_toAlgHomₓ'. -/
 theorem aevalTower_toAlgHom (x : R) :
     aevalTower g y (IsScalarTower.toAlgHom S R (MvPolynomial σ R) x) = g x :=

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

@@ -893,7 +893,7 @@ theorem support_monomial_subset : (monomial s a).support ⊆ {s} :=
 lean 3 declaration is
   forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {p : MvPolynomial.{u2, u1} σ R _inst_1} {q : MvPolynomial.{u2, u1} σ R _inst_1} [_inst_3 : DecidableEq.{succ u2} σ], HasSubset.Subset.{u2} (Finset.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (Finset.hasSubset.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (MvPolynomial.support.{u1, u2} R σ _inst_1 (HAdd.hAdd.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (instHAdd.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Distrib.toHasAdd.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))) p q)) (Union.union.{u2} (Finset.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (Finset.hasUnion.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (fun (a : Finsupp.{u2, 0} σ Nat Nat.hasZero) (b : Finsupp.{u2, 0} σ Nat Nat.hasZero) => Finsupp.decidableEq.{u2, 0} σ Nat Nat.hasZero (fun (a : σ) (b : σ) => _inst_3 a b) (fun (a : Nat) (b : Nat) => Nat.decidableEq a b) a b)) (MvPolynomial.support.{u1, u2} R σ _inst_1 p) (MvPolynomial.support.{u1, u2} R σ _inst_1 q))
 but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] {p : MvPolynomial.{u1, u2} σ R _inst_1} {q : MvPolynomial.{u1, u2} σ R _inst_1}, HasSubset.Subset.{u1} (Finset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (Finset.instHasSubsetFinset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (MvPolynomial.support.{u2, u1} R σ _inst_1 (HAdd.hAdd.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (instHAdd.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Distrib.toAdd.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) p q)) (Union.union.{u1} (Finset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (Finset.instUnionFinset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (fun (a : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (b : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => Finsupp.decidableEq.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) (fun (a : σ) (b : σ) => Classical.propDecidable (Eq.{succ u1} σ a b)) (fun (a : Nat) (b : Nat) => instDecidableEqNat a b) a b)) (MvPolynomial.support.{u2, u1} R σ _inst_1 p) (MvPolynomial.support.{u2, u1} R σ _inst_1 q))
+  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] {p : MvPolynomial.{u1, u2} σ R _inst_1} {q : MvPolynomial.{u1, u2} σ R _inst_1} [_inst_3 : DecidableEq.{succ u1} σ], HasSubset.Subset.{u1} (Finset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (Finset.instHasSubsetFinset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (MvPolynomial.support.{u2, u1} R σ _inst_1 (HAdd.hAdd.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (instHAdd.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Distrib.toAdd.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) p q)) (Union.union.{u1} (Finset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (Finset.instUnionFinset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (fun (a : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (b : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => Finsupp.decidableEq.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) (fun (a : σ) (b : σ) => _inst_3 a b) (fun (a : Nat) (b : Nat) => instDecidableEqNat a b) a b)) (MvPolynomial.support.{u2, u1} R σ _inst_1 p) (MvPolynomial.support.{u2, u1} R σ _inst_1 q))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.support_add MvPolynomial.support_addₓ'. -/
 theorem support_add [DecidableEq σ] : (p + q).support ⊆ p.support ∪ q.support :=
   Finsupp.support_add
@@ -946,7 +946,7 @@ theorem support_smul {S₁ : Type _} [SMulZeroClass S₁ R] {a : S₁} {f : MvPo
 lean 3 declaration is
   forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {α : Type.{u3}} [_inst_3 : DecidableEq.{succ u2} σ] {s : Finset.{u3} α} {f : α -> (MvPolynomial.{u2, u1} σ R _inst_1)}, HasSubset.Subset.{u2} (Finset.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (Finset.hasSubset.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (MvPolynomial.support.{u1, u2} R σ _inst_1 (Finset.sum.{max u2 u1, u3} (MvPolynomial.{u2, u1} σ R _inst_1) α (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) s (fun (x : α) => f x))) (Finset.biUnion.{u3, u2} α (Finsupp.{u2, 0} σ Nat Nat.hasZero) (fun (a : Finsupp.{u2, 0} σ Nat Nat.hasZero) (b : Finsupp.{u2, 0} σ Nat Nat.hasZero) => Finsupp.decidableEq.{u2, 0} σ Nat Nat.hasZero (fun (a : σ) (b : σ) => _inst_3 a b) (fun (a : Nat) (b : Nat) => Nat.decidableEq a b) a b) s (fun (x : α) => MvPolynomial.support.{u1, u2} R σ _inst_1 (f x)))
 but is expected to have type
-  forall {R : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u3} R] {α : Type.{u2}} {_inst_3 : Finset.{u2} α} {s : α -> (MvPolynomial.{u1, u3} σ R _inst_1)}, HasSubset.Subset.{u1} (Finset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (Finset.instHasSubsetFinset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (MvPolynomial.support.{u3, u1} R σ _inst_1 (Finset.sum.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) α (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) _inst_3 (fun (x : α) => s x))) (Finset.biUnion.{u2, u1} α (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (fun (a : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (b : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => Finsupp.decidableEq.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) (fun (a : σ) (b : σ) => Classical.propDecidable (Eq.{succ u1} σ a b)) (fun (a : Nat) (b : Nat) => instDecidableEqNat a b) a b) _inst_3 (fun (x : α) => MvPolynomial.support.{u3, u1} R σ _inst_1 (s x)))
+  forall {R : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u3} R] {α : Type.{u2}} [_inst_3 : DecidableEq.{succ u1} σ] {s : Finset.{u2} α} {f : α -> (MvPolynomial.{u1, u3} σ R _inst_1)}, HasSubset.Subset.{u1} (Finset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (Finset.instHasSubsetFinset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (MvPolynomial.support.{u3, u1} R σ _inst_1 (Finset.sum.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) α (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) s (fun (x : α) => f x))) (Finset.biUnion.{u2, u1} α (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (fun (a : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (b : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => Finsupp.decidableEq.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) (fun (a : σ) (b : σ) => _inst_3 a b) (fun (a : Nat) (b : Nat) => instDecidableEqNat a b) a b) s (fun (x : α) => MvPolynomial.support.{u3, u1} R σ _inst_1 (f x)))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.support_sum MvPolynomial.support_sumₓ'. -/
 theorem support_sum {α : Type _} [DecidableEq σ] {s : Finset α} {f : α → MvPolynomial σ R} :
     (∑ x in s, f x).support ⊆ s.biUnion fun x => (f x).support :=
@@ -999,7 +999,7 @@ theorem sum_def {A} [AddCommMonoid A] {p : MvPolynomial σ R} {b : (σ →₀ 
 lean 3 declaration is
   forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_3 : DecidableEq.{succ u2} σ] (p : MvPolynomial.{u2, u1} σ R _inst_1) (q : MvPolynomial.{u2, u1} σ R _inst_1), HasSubset.Subset.{u2} (Finset.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (Finset.hasSubset.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (MvPolynomial.support.{u1, u2} R σ _inst_1 (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Distrib.toHasMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))) p q)) (Finset.biUnion.{u2, u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.{u2, 0} σ Nat Nat.hasZero) (fun (a : Finsupp.{u2, 0} σ Nat Nat.hasZero) (b : Finsupp.{u2, 0} σ Nat Nat.hasZero) => Finsupp.decidableEq.{u2, 0} σ Nat Nat.hasZero (fun (a : σ) (b : σ) => _inst_3 a b) (fun (a : Nat) (b : Nat) => Nat.decidableEq a b) a b) (MvPolynomial.support.{u1, u2} R σ _inst_1 p) (fun (a : Finsupp.{u2, 0} σ Nat Nat.hasZero) => Finset.biUnion.{u2, u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.{u2, 0} σ Nat Nat.hasZero) (fun (a : Finsupp.{u2, 0} σ Nat Nat.hasZero) (b : Finsupp.{u2, 0} σ Nat Nat.hasZero) => Finsupp.decidableEq.{u2, 0} σ Nat Nat.hasZero (fun (a : σ) (b : σ) => _inst_3 a b) (fun (a : Nat) (b : Nat) => Nat.decidableEq a b) a b) (MvPolynomial.support.{u1, u2} R σ _inst_1 q) (fun (b : Finsupp.{u2, 0} σ Nat Nat.hasZero) => Singleton.singleton.{u2, u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finset.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (Finset.hasSingleton.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (HAdd.hAdd.{u2, u2, u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.{u2, 0} σ Nat Nat.hasZero) (instHAdd.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.add.{u2, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid))) a b))))
 but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] (_inst_3 : MvPolynomial.{u1, u2} σ R _inst_1) (p : MvPolynomial.{u1, u2} σ R _inst_1), HasSubset.Subset.{u1} (Finset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (Finset.instHasSubsetFinset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (MvPolynomial.support.{u2, u1} R σ _inst_1 (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) _inst_3 p)) (Finset.biUnion.{u1, u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (fun (a : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (b : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => Finsupp.decidableEq.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) (fun (a : σ) (b : σ) => Classical.propDecidable (Eq.{succ u1} σ a b)) (fun (a : Nat) (b : Nat) => instDecidableEqNat a b) a b) (MvPolynomial.support.{u2, u1} R σ _inst_1 _inst_3) (fun (a : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => Finset.biUnion.{u1, u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (fun (a : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (b : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => Finsupp.decidableEq.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) (fun (a : σ) (b : σ) => Classical.propDecidable (Eq.{succ u1} σ a b)) (fun (a : Nat) (b : Nat) => instDecidableEqNat a b) a b) (MvPolynomial.support.{u2, u1} R σ _inst_1 p) (fun (b : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => Singleton.singleton.{u1, u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (Finset.instSingletonFinset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (HAdd.hAdd.{u1, u1, u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (instHAdd.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.add.{u1, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid))) a b))))
+  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_3 : DecidableEq.{succ u1} σ] (p : MvPolynomial.{u1, u2} σ R _inst_1) (q : MvPolynomial.{u1, u2} σ R _inst_1), HasSubset.Subset.{u1} (Finset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (Finset.instHasSubsetFinset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (MvPolynomial.support.{u2, u1} R σ _inst_1 (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) p q)) (Finset.biUnion.{u1, u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (fun (a : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (b : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => Finsupp.decidableEq.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) (fun (a : σ) (b : σ) => _inst_3 a b) (fun (a : Nat) (b : Nat) => instDecidableEqNat a b) a b) (MvPolynomial.support.{u2, u1} R σ _inst_1 p) (fun (a : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => Finset.biUnion.{u1, u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (fun (a : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (b : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => Finsupp.decidableEq.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) (fun (a : σ) (b : σ) => _inst_3 a b) (fun (a : Nat) (b : Nat) => instDecidableEqNat a b) a b) (MvPolynomial.support.{u2, u1} R σ _inst_1 q) (fun (b : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => Singleton.singleton.{u1, u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (Finset.instSingletonFinset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (HAdd.hAdd.{u1, u1, u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (instHAdd.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.add.{u1, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid))) a b))))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.support_mul MvPolynomial.support_mulₓ'. -/
 theorem support_mul [DecidableEq σ] (p q : MvPolynomial σ R) :
     (p * q).support ⊆ p.support.biUnion fun a => q.support.biUnion fun b => {a + b} := by
@@ -2622,7 +2622,7 @@ theorem map_aeval {B : Type _} [CommSemiring B] (g : σ → S₁) (φ : S₁ →
 lean 3 declaration is
   forall {R : Type.{u1}} {S₂ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_4 : CommSemiring.{u2} S₂] (f : RingHom.{u1, u2} R S₂ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4))), Eq.{max (succ (max u3 u1)) (succ u2)} (RingHom.{max u3 u1, u2} (MvPolynomial.{u3, u1} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4))) (MvPolynomial.eval₂Hom.{u1, u2, u3} R S₂ σ _inst_1 _inst_4 f (OfNat.ofNat.{max u3 u2} (σ -> S₂) 0 (OfNat.mk.{max u3 u2} (σ -> S₂) 0 (Zero.zero.{max u3 u2} (σ -> S₂) (Pi.instZero.{u3, u2} σ (fun (ᾰ : σ) => S₂) (fun (i : σ) => MulZeroClass.toHasZero.{u2} S₂ (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S₂ (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4)))))))))) (RingHom.comp.{max u3 u1, u1, u2} (MvPolynomial.{u3, u1} σ R _inst_1) R S₂ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4)) f (MvPolynomial.constantCoeff.{u1, u3} R σ _inst_1))
 but is expected to have type
-  forall {R : Type.{u2}} {S₂ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_4 : CommSemiring.{u3} S₂] (f : RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))), Eq.{max (max (succ u2) (succ u3)) (succ u1)} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (MvPolynomial.eval₂Hom.{u2, u3, u1} R S₂ σ _inst_1 _inst_4 f (OfNat.ofNat.{max u3 u1} (σ -> S₂) 0 (Zero.toOfNat0.{max u3 u1} (σ -> S₂) (Pi.instZero.{u1, u3} σ (fun (a._@.Mathlib.Data.MvPolynomial.Basic._hyg.20500 : σ) => S₂) (fun (i : σ) => CommMonoidWithZero.toZero.{u3} S₂ (CommSemiring.toCommMonoidWithZero.{u3} S₂ _inst_4)))))) (RingHom.comp.{max u1 u2, u2, u3} (MvPolynomial.{u1, u2} σ R _inst_1) R S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)) f (MvPolynomial.constantCoeff.{u2, u1} R σ _inst_1))
+  forall {R : Type.{u2}} {S₂ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_4 : CommSemiring.{u3} S₂] (f : RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))), Eq.{max (max (succ u2) (succ u3)) (succ u1)} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (MvPolynomial.eval₂Hom.{u2, u3, u1} R S₂ σ _inst_1 _inst_4 f (OfNat.ofNat.{max u3 u1} (σ -> S₂) 0 (Zero.toOfNat0.{max u3 u1} (σ -> S₂) (Pi.instZero.{u1, u3} σ (fun (a._@.Mathlib.Data.MvPolynomial.Basic._hyg.20540 : σ) => S₂) (fun (i : σ) => CommMonoidWithZero.toZero.{u3} S₂ (CommSemiring.toCommMonoidWithZero.{u3} S₂ _inst_4)))))) (RingHom.comp.{max u1 u2, u2, u3} (MvPolynomial.{u1, u2} σ R _inst_1) R S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)) f (MvPolynomial.constantCoeff.{u2, u1} R σ _inst_1))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval₂_hom_zero MvPolynomial.eval₂Hom_zeroₓ'. -/
 @[simp]
 theorem eval₂Hom_zero (f : R →+* S₂) : eval₂Hom f (0 : σ → S₂) = f.comp constantCoeff := by
@@ -2644,7 +2644,7 @@ theorem eval₂Hom_zero' (f : R →+* S₂) : eval₂Hom f (fun _ => 0 : σ →
 lean 3 declaration is
   forall {R : Type.{u1}} {S₂ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_4 : CommSemiring.{u2} S₂] (f : RingHom.{u1, u2} R S₂ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4))) (p : MvPolynomial.{u3, u1} σ R _inst_1), Eq.{succ u2} S₂ (coeFn.{max (succ (max u3 u1)) (succ u2), max (succ (max u3 u1)) (succ u2)} (RingHom.{max u3 u1, u2} (MvPolynomial.{u3, u1} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4))) (fun (_x : RingHom.{max u3 u1, u2} (MvPolynomial.{u3, u1} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4))) => (MvPolynomial.{u3, u1} σ R _inst_1) -> S₂) (RingHom.hasCoeToFun.{max u3 u1, u2} (MvPolynomial.{u3, u1} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4))) (MvPolynomial.eval₂Hom.{u1, u2, u3} R S₂ σ _inst_1 _inst_4 f (OfNat.ofNat.{max u3 u2} (σ -> S₂) 0 (OfNat.mk.{max u3 u2} (σ -> S₂) 0 (Zero.zero.{max u3 u2} (σ -> S₂) (Pi.instZero.{u3, u2} σ (fun (ᾰ : σ) => S₂) (fun (i : σ) => MulZeroClass.toHasZero.{u2} S₂ (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S₂ (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4)))))))))) p) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R S₂ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4))) (fun (_x : RingHom.{u1, u2} R S₂ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4))) => R -> S₂) (RingHom.hasCoeToFun.{u1, u2} R S₂ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4))) f (coeFn.{max (succ (max u3 u1)) (succ u1), max (succ (max u3 u1)) (succ u1)} (RingHom.{max u3 u1, u1} (MvPolynomial.{u3, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (fun (_x : RingHom.{max u3 u1, u1} (MvPolynomial.{u3, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) => (MvPolynomial.{u3, u1} σ R _inst_1) -> R) (RingHom.hasCoeToFun.{max u3 u1, u1} (MvPolynomial.{u3, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.constantCoeff.{u1, u3} R σ _inst_1) p))
 but is expected to have type
-  forall {R : Type.{u2}} {S₂ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_4 : CommSemiring.{u3} S₂] (f : RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (p : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => S₂) p) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u2) (succ u1), succ u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => S₂) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u3} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)) (RingHom.instRingHomClassRingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)))))) (MvPolynomial.eval₂Hom.{u2, u3, u1} R S₂ σ _inst_1 _inst_4 f (OfNat.ofNat.{max u3 u1} (σ -> S₂) 0 (Zero.toOfNat0.{max u3 u1} (σ -> S₂) (Pi.instZero.{u1, u3} σ (fun (a._@.Mathlib.Data.MvPolynomial.Basic._hyg.20654 : σ) => S₂) (fun (i : σ) => CommMonoidWithZero.toZero.{u3} S₂ (CommSemiring.toCommMonoidWithZero.{u3} S₂ _inst_4)))))) p) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₂) _x) (MulHomClass.toFunLike.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) R S₂ (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) R S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)) (RingHom.instRingHomClassRingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)))))) f (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), succ u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) _x) (MulHomClass.toFunLike.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (RingHom.instRingHomClassRingHom.{max u1 u2, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))))) (MvPolynomial.constantCoeff.{u2, u1} R σ _inst_1) p))
+  forall {R : Type.{u2}} {S₂ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_4 : CommSemiring.{u3} S₂] (f : RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (p : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => S₂) p) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u2) (succ u1), succ u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => S₂) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u3} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)) (RingHom.instRingHomClassRingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)))))) (MvPolynomial.eval₂Hom.{u2, u3, u1} R S₂ σ _inst_1 _inst_4 f (OfNat.ofNat.{max u3 u1} (σ -> S₂) 0 (Zero.toOfNat0.{max u3 u1} (σ -> S₂) (Pi.instZero.{u1, u3} σ (fun (a._@.Mathlib.Data.MvPolynomial.Basic._hyg.20694 : σ) => S₂) (fun (i : σ) => CommMonoidWithZero.toZero.{u3} S₂ (CommSemiring.toCommMonoidWithZero.{u3} S₂ _inst_4)))))) p) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₂) _x) (MulHomClass.toFunLike.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) R S₂ (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) R S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)) (RingHom.instRingHomClassRingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)))))) f (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), succ u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) _x) (MulHomClass.toFunLike.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (RingHom.instRingHomClassRingHom.{max u1 u2, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))))) (MvPolynomial.constantCoeff.{u2, u1} R σ _inst_1) p))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval₂_hom_zero_apply MvPolynomial.eval₂Hom_zero_applyₓ'. -/
 theorem eval₂Hom_zero_apply (f : R →+* S₂) (p : MvPolynomial σ R) :
     eval₂Hom f (0 : σ → S₂) p = f (constantCoeff p) :=
@@ -2666,7 +2666,7 @@ theorem eval₂Hom_zero'_apply (f : R →+* S₂) (p : MvPolynomial σ R) :
 lean 3 declaration is
   forall {R : Type.{u1}} {S₂ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_4 : CommSemiring.{u2} S₂] (f : RingHom.{u1, u2} R S₂ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4))) (p : MvPolynomial.{u3, u1} σ R _inst_1), Eq.{succ u2} S₂ (MvPolynomial.eval₂.{u1, u2, u3} R S₂ σ _inst_1 _inst_4 f (OfNat.ofNat.{max u3 u2} (σ -> S₂) 0 (OfNat.mk.{max u3 u2} (σ -> S₂) 0 (Zero.zero.{max u3 u2} (σ -> S₂) (Pi.instZero.{u3, u2} σ (fun (ᾰ : σ) => S₂) (fun (i : σ) => MulZeroClass.toHasZero.{u2} S₂ (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S₂ (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4))))))))) p) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R S₂ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4))) (fun (_x : RingHom.{u1, u2} R S₂ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4))) => R -> S₂) (RingHom.hasCoeToFun.{u1, u2} R S₂ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4))) f (coeFn.{max (succ (max u3 u1)) (succ u1), max (succ (max u3 u1)) (succ u1)} (RingHom.{max u3 u1, u1} (MvPolynomial.{u3, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (fun (_x : RingHom.{max u3 u1, u1} (MvPolynomial.{u3, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) => (MvPolynomial.{u3, u1} σ R _inst_1) -> R) (RingHom.hasCoeToFun.{max u3 u1, u1} (MvPolynomial.{u3, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.constantCoeff.{u1, u3} R σ _inst_1) p))
 but is expected to have type
-  forall {R : Type.{u2}} {S₂ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_4 : CommSemiring.{u3} S₂] (f : RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (p : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{succ u3} S₂ (MvPolynomial.eval₂.{u2, u3, u1} R S₂ σ _inst_1 _inst_4 f (OfNat.ofNat.{max u3 u1} (σ -> S₂) 0 (Zero.toOfNat0.{max u3 u1} (σ -> S₂) (Pi.instZero.{u1, u3} σ (fun (a._@.Mathlib.Data.MvPolynomial.Basic._hyg.20813 : σ) => S₂) (fun (i : σ) => CommMonoidWithZero.toZero.{u3} S₂ (CommSemiring.toCommMonoidWithZero.{u3} S₂ _inst_4))))) p) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₂) _x) (MulHomClass.toFunLike.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) R S₂ (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) R S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)) (RingHom.instRingHomClassRingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)))))) f (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), succ u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) _x) (MulHomClass.toFunLike.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (RingHom.instRingHomClassRingHom.{max u1 u2, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))))) (MvPolynomial.constantCoeff.{u2, u1} R σ _inst_1) p))
+  forall {R : Type.{u2}} {S₂ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_4 : CommSemiring.{u3} S₂] (f : RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (p : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{succ u3} S₂ (MvPolynomial.eval₂.{u2, u3, u1} R S₂ σ _inst_1 _inst_4 f (OfNat.ofNat.{max u3 u1} (σ -> S₂) 0 (Zero.toOfNat0.{max u3 u1} (σ -> S₂) (Pi.instZero.{u1, u3} σ (fun (a._@.Mathlib.Data.MvPolynomial.Basic._hyg.20853 : σ) => S₂) (fun (i : σ) => CommMonoidWithZero.toZero.{u3} S₂ (CommSemiring.toCommMonoidWithZero.{u3} S₂ _inst_4))))) p) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₂) _x) (MulHomClass.toFunLike.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) R S₂ (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) R S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)) (RingHom.instRingHomClassRingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)))))) f (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), succ u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) _x) (MulHomClass.toFunLike.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (RingHom.instRingHomClassRingHom.{max u1 u2, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))))) (MvPolynomial.constantCoeff.{u2, u1} R σ _inst_1) p))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval₂_zero_apply MvPolynomial.eval₂_zero_applyₓ'. -/
 @[simp]
 theorem eval₂_zero_apply (f : R →+* S₂) (p : MvPolynomial σ R) :
@@ -2690,7 +2690,7 @@ theorem eval₂_zero'_apply (f : R →+* S₂) (p : MvPolynomial σ R) :
 lean 3 declaration is
   forall {R : Type.{u1}} {S₁ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] [_inst_3 : Algebra.{u1, u2} R S₁ _inst_1 (CommSemiring.toSemiring.{u2} S₁ _inst_2)] (p : MvPolynomial.{u3, u1} σ R _inst_1), Eq.{succ u2} S₁ (coeFn.{max (succ (max u3 u1)) (succ u2), max (succ (max u3 u1)) (succ u2)} (AlgHom.{u1, max u3 u1, u2} R (MvPolynomial.{u3, u1} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (CommSemiring.toSemiring.{u2} S₁ _inst_2) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_3) (fun (_x : AlgHom.{u1, max u3 u1, u2} R (MvPolynomial.{u3, u1} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (CommSemiring.toSemiring.{u2} S₁ _inst_2) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_3) => (MvPolynomial.{u3, u1} σ R _inst_1) -> S₁) ([anonymous].{u1, max u3 u1, u2} R (MvPolynomial.{u3, u1} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (CommSemiring.toSemiring.{u2} S₁ _inst_2) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_3) (MvPolynomial.aeval.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 _inst_3 (OfNat.ofNat.{max u3 u2} (σ -> S₁) 0 (OfNat.mk.{max u3 u2} (σ -> S₁) 0 (Zero.zero.{max u3 u2} (σ -> S₁) (Pi.instZero.{u3, u2} σ (fun (ᾰ : σ) => S₁) (fun (i : σ) => MulZeroClass.toHasZero.{u2} S₁ (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S₁ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)))))))))) p) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (fun (_x : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) => R -> S₁) (RingHom.hasCoeToFun.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (algebraMap.{u1, u2} R S₁ _inst_1 (CommSemiring.toSemiring.{u2} S₁ _inst_2) _inst_3) (coeFn.{max (succ (max u3 u1)) (succ u1), max (succ (max u3 u1)) (succ u1)} (RingHom.{max u3 u1, u1} (MvPolynomial.{u3, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (fun (_x : RingHom.{max u3 u1, u1} (MvPolynomial.{u3, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) => (MvPolynomial.{u3, u1} σ R _inst_1) -> R) (RingHom.hasCoeToFun.{max u3 u1, u1} (MvPolynomial.{u3, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.constantCoeff.{u1, u3} R σ _inst_1) p))
 but is expected to have type
-  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] [_inst_3 : Algebra.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2)] (p : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u1, u2} σ R _inst_1) => S₁) p) (FunLike.coe.{max (max (succ u3) (succ u1)) (succ u2), max (succ u1) (succ u2), succ u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u1, u2} σ R _inst_1) => S₁) _x) (SMulHomClass.toFunLike.{max (max u3 u1) u2, u2, max u1 u2, u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (SMulZeroClass.toSMul.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (AddMonoid.toZero.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (DistribSMul.toSMulZeroClass.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (DistribMulAction.toDistribSMul.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))))))) (SMulZeroClass.toSMul.{u2, u3} R S₁ (AddMonoid.toZero.{u3} S₁ (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (DistribSMul.toSMulZeroClass.{u2, u3} R S₁ (AddMonoid.toAddZeroClass.{u3} S₁ (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (DistribMulAction.toDistribSMul.{u2, u3} R S₁ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))))) (Module.toDistribMulAction.{u2, u3} R S₁ (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (Algebra.toModule.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3))))) (DistribMulActionHomClass.toSMulHomClass.{max (max u3 u1) u2, u2, max u1 u2, u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (Module.toDistribMulAction.{u2, u3} R S₁ (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (Algebra.toModule.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max (max u3 u1) u2, u2, max u1 u2, u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (Module.toDistribMulAction.{u2, u3} R S₁ (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (Algebra.toModule.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u2, max u1 u2, u3, max (max u3 u1) u2} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3 (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) (AlgHom.algHomClass.{u2, max u1 u2, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3))))) (MvPolynomial.aeval.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 _inst_3 (OfNat.ofNat.{max u3 u1} (σ -> S₁) 0 (Zero.toOfNat0.{max u3 u1} (σ -> S₁) (Pi.instZero.{u1, u3} σ (fun (a._@.Mathlib.Data.MvPolynomial.Basic._hyg.20961 : σ) => S₁) (fun (i : σ) => CommMonoidWithZero.toZero.{u3} S₁ (CommSemiring.toCommMonoidWithZero.{u3} S₁ _inst_2)))))) p) (FunLike.coe.{max (succ u3) (succ u2), succ u2, succ u3} (RingHom.{u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (fun (_x : (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) => S₁) _x) (MulHomClass.toFunLike.{max u3 u2, u2, u3} (RingHom.{u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (NonUnitalNonAssocSemiring.toMul.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u3 u2, u2, u3} (RingHom.{u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u3 u2, u2, u3} (RingHom.{u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (algebraMap.{u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3) (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), succ u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) _x) (MulHomClass.toFunLike.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (RingHom.instRingHomClassRingHom.{max u1 u2, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))))) (MvPolynomial.constantCoeff.{u2, u1} R σ _inst_1) p))
+  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] [_inst_3 : Algebra.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2)] (p : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u1, u2} σ R _inst_1) => S₁) p) (FunLike.coe.{max (max (succ u3) (succ u1)) (succ u2), max (succ u1) (succ u2), succ u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u1, u2} σ R _inst_1) => S₁) _x) (SMulHomClass.toFunLike.{max (max u3 u1) u2, u2, max u1 u2, u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (SMulZeroClass.toSMul.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (AddMonoid.toZero.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (DistribSMul.toSMulZeroClass.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (DistribMulAction.toDistribSMul.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))))))) (SMulZeroClass.toSMul.{u2, u3} R S₁ (AddMonoid.toZero.{u3} S₁ (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (DistribSMul.toSMulZeroClass.{u2, u3} R S₁ (AddMonoid.toAddZeroClass.{u3} S₁ (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (DistribMulAction.toDistribSMul.{u2, u3} R S₁ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))))) (Module.toDistribMulAction.{u2, u3} R S₁ (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (Algebra.toModule.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3))))) (DistribMulActionHomClass.toSMulHomClass.{max (max u3 u1) u2, u2, max u1 u2, u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (Module.toDistribMulAction.{u2, u3} R S₁ (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (Algebra.toModule.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max (max u3 u1) u2, u2, max u1 u2, u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (Module.toDistribMulAction.{u2, u3} R S₁ (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (Algebra.toModule.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u2, max u1 u2, u3, max (max u3 u1) u2} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3 (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) (AlgHom.algHomClass.{u2, max u1 u2, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3))))) (MvPolynomial.aeval.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 _inst_3 (OfNat.ofNat.{max u3 u1} (σ -> S₁) 0 (Zero.toOfNat0.{max u3 u1} (σ -> S₁) (Pi.instZero.{u1, u3} σ (fun (a._@.Mathlib.Data.MvPolynomial.Basic._hyg.21001 : σ) => S₁) (fun (i : σ) => CommMonoidWithZero.toZero.{u3} S₁ (CommSemiring.toCommMonoidWithZero.{u3} S₁ _inst_2)))))) p) (FunLike.coe.{max (succ u3) (succ u2), succ u2, succ u3} (RingHom.{u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (fun (_x : (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) => S₁) _x) (MulHomClass.toFunLike.{max u3 u2, u2, u3} (RingHom.{u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (NonUnitalNonAssocSemiring.toMul.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u3 u2, u2, u3} (RingHom.{u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u3 u2, u2, u3} (RingHom.{u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (algebraMap.{u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3) (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), succ u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) _x) (MulHomClass.toFunLike.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (RingHom.instRingHomClassRingHom.{max u1 u2, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))))) (MvPolynomial.constantCoeff.{u2, u1} R σ _inst_1) p))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.aeval_zero MvPolynomial.aeval_zeroₓ'. -/
 @[simp]
 theorem aeval_zero (p : MvPolynomial σ R) :
@@ -2714,7 +2714,7 @@ theorem aeval_zero' (p : MvPolynomial σ R) :
 lean 3 declaration is
   forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R], Eq.{max (succ (max u2 u1)) (succ u1)} (RingHom.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.eval.{u1, u2} R σ _inst_1 (OfNat.ofNat.{max u2 u1} (σ -> R) 0 (OfNat.mk.{max u2 u1} (σ -> R) 0 (Zero.zero.{max u2 u1} (σ -> R) (Pi.instZero.{u2, u1} σ (fun (ᾰ : σ) => R) (fun (i : σ) => MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))))))) (MvPolynomial.constantCoeff.{u1, u2} R σ _inst_1)
 but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R], Eq.{max (succ u2) (succ u1)} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.eval.{u2, u1} R σ _inst_1 (OfNat.ofNat.{max u2 u1} (σ -> R) 0 (Zero.toOfNat0.{max u2 u1} (σ -> R) (Pi.instZero.{u1, u2} σ (fun (a._@.Mathlib.Data.MvPolynomial.Basic._hyg.21109 : σ) => R) (fun (i : σ) => CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1)))))) (MvPolynomial.constantCoeff.{u2, u1} R σ _inst_1)
+  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R], Eq.{max (succ u2) (succ u1)} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.eval.{u2, u1} R σ _inst_1 (OfNat.ofNat.{max u2 u1} (σ -> R) 0 (Zero.toOfNat0.{max u2 u1} (σ -> R) (Pi.instZero.{u1, u2} σ (fun (a._@.Mathlib.Data.MvPolynomial.Basic._hyg.21149 : σ) => R) (fun (i : σ) => CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1)))))) (MvPolynomial.constantCoeff.{u2, u1} R σ _inst_1)
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval_zero MvPolynomial.eval_zeroₓ'. -/
 @[simp]
 theorem eval_zero : eval (0 : σ → R) = constantCoeff :=

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

@@ -250,7 +250,7 @@ theorem monomial_left_inj {s t : σ →₀ ℕ} {r : R} (hr : r ≠ 0) :
 lean 3 declaration is
   forall {R : Type.{u1}} {σ : Type.{u2}} {a : R} [_inst_1 : CommSemiring.{u1} R], Eq.{max (succ u2) (succ u1)} (MvPolynomial.{u2, u1} σ R _inst_1) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (fun (_x : RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (MvPolynomial.C.{u1, u2} R σ _inst_1) a) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 (OfNat.ofNat.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) 0 (OfNat.mk.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) 0 (Zero.zero.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.zero.{u2, 0} σ Nat Nat.hasZero))))) a)
 but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} {a : R} [_inst_1 : CommSemiring.{u2} R], Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) a) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 (OfNat.ofNat.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) 0 (Zero.toOfNat0.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.zero.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))))) a)
+  forall {R : Type.{u2}} {σ : Type.{u1}} {a : R} [_inst_1 : CommSemiring.{u2} R], Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) a) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 (OfNat.ofNat.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) 0 (Zero.toOfNat0.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.zero.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))))) a)
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.C_apply MvPolynomial.C_applyₓ'. -/
 theorem C_apply : (C a : MvPolynomial σ R) = monomial 0 a :=
   rfl
@@ -260,7 +260,7 @@ theorem C_apply : (C a : MvPolynomial σ R) = monomial 0 a :=
 lean 3 declaration is
   forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R], Eq.{max (succ u2) (succ u1)} (MvPolynomial.{u2, u1} σ R _inst_1) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (fun (_x : RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (MvPolynomial.C.{u1, u2} R σ _inst_1) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))))))) (OfNat.ofNat.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) 0 (OfNat.mk.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) 0 (Zero.zero.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MulZeroClass.toHasZero.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toMulZeroClass.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))))))))
 but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R], Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))))) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))))) (OfNat.ofNat.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) 0 (Zero.toOfNat0.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommMonoidWithZero.toZero.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toCommMonoidWithZero.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))
+  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R], Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))))) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))))) (OfNat.ofNat.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) 0 (Zero.toOfNat0.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommMonoidWithZero.toZero.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toCommMonoidWithZero.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.C_0 MvPolynomial.C_0ₓ'. -/
 @[simp]
 theorem C_0 : C 0 = (0 : MvPolynomial σ R) := by simp [C_apply, monomial]
@@ -270,7 +270,7 @@ theorem C_0 : C 0 = (0 : MvPolynomial σ R) := by simp [C_apply, monomial]
 lean 3 declaration is
   forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R], Eq.{max (succ u2) (succ u1)} (MvPolynomial.{u2, u1} σ R _inst_1) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (fun (_x : RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (MvPolynomial.C.{u1, u2} R σ _inst_1) (OfNat.ofNat.{u1} R 1 (OfNat.mk.{u1} R 1 (One.one.{u1} R (AddMonoidWithOne.toOne.{u1} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} R (NonAssocSemiring.toAddCommMonoidWithOne.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))))))) (OfNat.ofNat.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) 1 (OfNat.mk.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) 1 (One.one.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (AddMonoidWithOne.toOne.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (AddCommMonoidWithOne.toAddMonoidWithOne.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toAddCommMonoidWithOne.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))))))))
 but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R], Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) (OfNat.ofNat.{u2} R 1 (One.toOfNat1.{u2} R (Semiring.toOne.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) (OfNat.ofNat.{u2} R 1 (One.toOfNat1.{u2} R (Semiring.toOne.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) (OfNat.ofNat.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) 1 (One.toOfNat1.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toOne.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))
+  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R], Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) (OfNat.ofNat.{u2} R 1 (One.toOfNat1.{u2} R (Semiring.toOne.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) (OfNat.ofNat.{u2} R 1 (One.toOfNat1.{u2} R (Semiring.toOne.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) (OfNat.ofNat.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) 1 (One.toOfNat1.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toOne.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.C_1 MvPolynomial.C_1ₓ'. -/
 @[simp]
 theorem C_1 : C 1 = (1 : MvPolynomial σ R) :=
@@ -281,7 +281,7 @@ theorem C_1 : C 1 = (1 : MvPolynomial σ R) :=
 lean 3 declaration is
   forall {R : Type.{u1}} {σ : Type.{u2}} {a : R} {a' : R} {s : Finsupp.{u2, 0} σ Nat Nat.hasZero} [_inst_1 : CommSemiring.{u1} R], Eq.{succ (max u2 u1)} (MvPolynomial.{u2, u1} σ R _inst_1) (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Distrib.toHasMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (fun (_x : RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (MvPolynomial.C.{u1, u2} R σ _inst_1) a) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 s) a')) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 s) (HMul.hMul.{u1, u1, u1} R R R (instHMul.{u1} R (Distrib.toHasMul.{u1} R (NonUnitalNonAssocSemiring.toDistrib.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))) a a'))
 but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} {a : R} {a' : R} {s : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)} [_inst_1 : CommSemiring.{u2} R], Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) (HMul.hMul.{u2, u2, u2} R R R (instHMul.{u2} R (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) a a')) (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a') ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) (HMul.hMul.{u2, u2, u2} R R R (instHMul.{u2} R (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) a a')) (instHMul.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (Semiring.toNonAssocSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (CommSemiring.toSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) a) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s) a')) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s) (HMul.hMul.{u2, u2, u2} R R R (instHMul.{u2} R (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) a a'))
+  forall {R : Type.{u2}} {σ : Type.{u1}} {a : R} {a' : R} {s : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)} [_inst_1 : CommSemiring.{u2} R], Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) (HMul.hMul.{u2, u2, u2} R R R (instHMul.{u2} R (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) a a')) (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a') ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) (HMul.hMul.{u2, u2, u2} R R R (instHMul.{u2} R (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) a a')) (instHMul.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (Semiring.toNonAssocSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (CommSemiring.toSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) a) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s) a')) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s) (HMul.hMul.{u2, u2, u2} R R R (instHMul.{u2} R (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) a a'))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.C_mul_monomial MvPolynomial.C_mul_monomialₓ'. -/
 theorem C_mul_monomial : C a * monomial s a' = monomial s (a * a') := by
   simp [C_apply, monomial, single_mul_single]
@@ -291,7 +291,7 @@ theorem C_mul_monomial : C a * monomial s a' = monomial s (a * a') := by
 lean 3 declaration is
   forall {R : Type.{u1}} {σ : Type.{u2}} {a : R} {a' : R} [_inst_1 : CommSemiring.{u1} R], Eq.{max (succ u2) (succ u1)} (MvPolynomial.{u2, u1} σ R _inst_1) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (fun (_x : RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (MvPolynomial.C.{u1, u2} R σ _inst_1) (HAdd.hAdd.{u1, u1, u1} R R R (instHAdd.{u1} R (Distrib.toHasAdd.{u1} R (NonUnitalNonAssocSemiring.toDistrib.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))) a a')) (HAdd.hAdd.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (instHAdd.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Distrib.toHasAdd.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (fun (_x : RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (MvPolynomial.C.{u1, u2} R σ _inst_1) a) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (fun (_x : RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (MvPolynomial.C.{u1, u2} R σ _inst_1) a'))
 but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} {a : R} {a' : R} [_inst_1 : CommSemiring.{u2} R], Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) (HAdd.hAdd.{u2, u2, u2} R R R (instHAdd.{u2} R (Distrib.toAdd.{u2} R (NonUnitalNonAssocSemiring.toDistrib.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))))) a a')) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) (HAdd.hAdd.{u2, u2, u2} R R R (instHAdd.{u2} R (Distrib.toAdd.{u2} R (NonUnitalNonAssocSemiring.toDistrib.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))))) a a')) (HAdd.hAdd.{max u2 u1, max u2 u1, max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a') ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) (HAdd.hAdd.{u2, u2, u2} R R R (instHAdd.{u2} R (Distrib.toAdd.{u2} R (NonUnitalNonAssocSemiring.toDistrib.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))))) a a')) (instHAdd.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (Distrib.toAdd.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (NonUnitalNonAssocSemiring.toDistrib.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (Semiring.toNonAssocSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (CommSemiring.toSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) a) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) a'))
+  forall {R : Type.{u2}} {σ : Type.{u1}} {a : R} {a' : R} [_inst_1 : CommSemiring.{u2} R], Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) (HAdd.hAdd.{u2, u2, u2} R R R (instHAdd.{u2} R (Distrib.toAdd.{u2} R (NonUnitalNonAssocSemiring.toDistrib.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))))) a a')) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) (HAdd.hAdd.{u2, u2, u2} R R R (instHAdd.{u2} R (Distrib.toAdd.{u2} R (NonUnitalNonAssocSemiring.toDistrib.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))))) a a')) (HAdd.hAdd.{max u2 u1, max u2 u1, max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a') ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) (HAdd.hAdd.{u2, u2, u2} R R R (instHAdd.{u2} R (Distrib.toAdd.{u2} R (NonUnitalNonAssocSemiring.toDistrib.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))))) a a')) (instHAdd.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (Distrib.toAdd.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (NonUnitalNonAssocSemiring.toDistrib.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (Semiring.toNonAssocSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (CommSemiring.toSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) a) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) a'))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.C_add MvPolynomial.C_addₓ'. -/
 @[simp]
 theorem C_add : (C (a + a') : MvPolynomial σ R) = C a + C a' :=
@@ -302,7 +302,7 @@ theorem C_add : (C (a + a') : MvPolynomial σ R) = C a + C a' :=
 lean 3 declaration is
   forall {R : Type.{u1}} {σ : Type.{u2}} {a : R} {a' : R} [_inst_1 : CommSemiring.{u1} R], Eq.{max (succ u2) (succ u1)} (MvPolynomial.{u2, u1} σ R _inst_1) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (fun (_x : RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (MvPolynomial.C.{u1, u2} R σ _inst_1) (HMul.hMul.{u1, u1, u1} R R R (instHMul.{u1} R (Distrib.toHasMul.{u1} R (NonUnitalNonAssocSemiring.toDistrib.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))) a a')) (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Distrib.toHasMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (fun (_x : RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (MvPolynomial.C.{u1, u2} R σ _inst_1) a) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (fun (_x : RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (MvPolynomial.C.{u1, u2} R σ _inst_1) a'))
 but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} {a : R} {a' : R} [_inst_1 : CommSemiring.{u2} R], Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) (HMul.hMul.{u2, u2, u2} R R R (instHMul.{u2} R (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) a a')) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) (HMul.hMul.{u2, u2, u2} R R R (instHMul.{u2} R (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) a a')) (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a') ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) (HMul.hMul.{u2, u2, u2} R R R (instHMul.{u2} R (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) a a')) (instHMul.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (Semiring.toNonAssocSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (CommSemiring.toSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) a) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) a'))
+  forall {R : Type.{u2}} {σ : Type.{u1}} {a : R} {a' : R} [_inst_1 : CommSemiring.{u2} R], Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) (HMul.hMul.{u2, u2, u2} R R R (instHMul.{u2} R (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) a a')) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) (HMul.hMul.{u2, u2, u2} R R R (instHMul.{u2} R (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) a a')) (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a') ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) (HMul.hMul.{u2, u2, u2} R R R (instHMul.{u2} R (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) a a')) (instHMul.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (Semiring.toNonAssocSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (CommSemiring.toSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) a) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) a'))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.C_mul MvPolynomial.C_mulₓ'. -/
 @[simp]
 theorem C_mul : (C (a * a') : MvPolynomial σ R) = C a * C a' :=
@@ -313,7 +313,7 @@ theorem C_mul : (C (a * a') : MvPolynomial σ R) = C a * C a' :=
 lean 3 declaration is
   forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] (a : R) (n : Nat), Eq.{max (succ u2) (succ u1)} (MvPolynomial.{u2, u1} σ R _inst_1) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (fun (_x : RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (MvPolynomial.C.{u1, u2} R σ _inst_1) (HPow.hPow.{u1, 0, u1} R Nat R (instHPow.{u1, 0} R Nat (Monoid.Pow.{u1} R (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) a n)) (HPow.hPow.{max u2 u1, 0, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) Nat (MvPolynomial.{u2, u1} σ R _inst_1) (instHPow.{max u2 u1, 0} (MvPolynomial.{u2, u1} σ R _inst_1) Nat (Monoid.Pow.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MonoidWithZero.toMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toMonoidWithZero.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))))) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (fun (_x : RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (MvPolynomial.C.{u1, u2} R σ _inst_1) a) n)
 but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] (a : R) (n : Nat), Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) (HPow.hPow.{u2, 0, u2} R Nat R (instHPow.{u2, 0} R Nat (Monoid.Pow.{u2} R (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) a n)) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) (HPow.hPow.{u2, 0, u2} R Nat R (instHPow.{u2, 0} R Nat (Monoid.Pow.{u2} R (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) a n)) (HPow.hPow.{max u2 u1, 0, max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) Nat ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (instHPow.{max u2 u1, 0} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) Nat (Monoid.Pow.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (MonoidWithZero.toMonoid.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (Semiring.toMonoidWithZero.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (CommSemiring.toSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) a) n)
+  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] (a : R) (n : Nat), Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) (HPow.hPow.{u2, 0, u2} R Nat R (instHPow.{u2, 0} R Nat (Monoid.Pow.{u2} R (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) a n)) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) (HPow.hPow.{u2, 0, u2} R Nat R (instHPow.{u2, 0} R Nat (Monoid.Pow.{u2} R (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) a n)) (HPow.hPow.{max u2 u1, 0, max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) Nat ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (instHPow.{max u2 u1, 0} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) Nat (Monoid.Pow.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (MonoidWithZero.toMonoid.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (Semiring.toMonoidWithZero.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (CommSemiring.toSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) a) n)
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.C_pow MvPolynomial.C_powₓ'. -/
 @[simp]
 theorem C_pow (a : R) (n : ℕ) : (C (a ^ n) : MvPolynomial σ R) = C a ^ n := by
@@ -324,7 +324,7 @@ theorem C_pow (a : R) (n : ℕ) : (C (a ^ n) : MvPolynomial σ R) = C a ^ n := b
 lean 3 declaration is
   forall (σ : Type.{u1}) (R : Type.{u2}) [_inst_3 : CommSemiring.{u2} R], Function.Injective.{succ u2, max (succ u1) (succ u2)} R (MvPolynomial.{u1, u2} σ R _inst_3) (coeFn.{max (succ u2) (succ (max u1 u2)), max (succ u2) (succ (max u1 u2))} (RingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_3) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_3) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_3) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_3)))) (fun (_x : RingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_3) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_3) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_3) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_3)))) => R -> (MvPolynomial.{u1, u2} σ R _inst_3)) (RingHom.hasCoeToFun.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_3) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_3) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_3) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_3)))) (MvPolynomial.C.{u2, u1} R σ _inst_3))
 but is expected to have type
-  forall (σ : Type.{u2}) (R : Type.{u1}) [_inst_3 : CommSemiring.{u1} R], Function.Injective.{succ u1, max (succ u2) (succ u1)} R (MvPolynomial.{u2, u1} σ R _inst_3) (FunLike.coe.{max (succ u2) (succ u1), succ u1, max (succ u2) (succ u1)} (RingHom.{u1, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_3)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u2, u1} σ R _inst_3) _x) (MulHomClass.toFunLike.{max u2 u1, u1, max u2 u1} (RingHom.{u1, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_3)))) R (MvPolynomial.{u2, u1} σ R _inst_3) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)))) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_3) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_3))))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u1, max u2 u1} (RingHom.{u1, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_3)))) R (MvPolynomial.{u2, u1} σ R _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_3) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_3)))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u1, max u2 u1} (RingHom.{u1, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_3)))) R (MvPolynomial.{u2, u1} σ R _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_3))) (RingHom.instRingHomClassRingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_3))))))) (MvPolynomial.C.{u1, u2} R σ _inst_3))
+  forall (σ : Type.{u2}) (R : Type.{u1}) [_inst_3 : CommSemiring.{u1} R], Function.Injective.{succ u1, max (succ u2) (succ u1)} R (MvPolynomial.{u2, u1} σ R _inst_3) (FunLike.coe.{max (succ u2) (succ u1), succ u1, max (succ u2) (succ u1)} (RingHom.{u1, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_3)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u2, u1} σ R _inst_3) _x) (MulHomClass.toFunLike.{max u2 u1, u1, max u2 u1} (RingHom.{u1, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_3)))) R (MvPolynomial.{u2, u1} σ R _inst_3) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)))) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_3) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_3))))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u1, max u2 u1} (RingHom.{u1, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_3)))) R (MvPolynomial.{u2, u1} σ R _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_3) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_3)))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u1, max u2 u1} (RingHom.{u1, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_3)))) R (MvPolynomial.{u2, u1} σ R _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_3))) (RingHom.instRingHomClassRingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_3))))))) (MvPolynomial.C.{u1, u2} R σ _inst_3))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.C_injective MvPolynomial.C_injectiveₓ'. -/
 theorem C_injective (σ : Type _) (R : Type _) [CommSemiring R] :
     Function.Injective (C : R → MvPolynomial σ R) :=
@@ -335,7 +335,7 @@ theorem C_injective (σ : Type _) (R : Type _) [CommSemiring R] :
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_3 : CommSemiring.{u1} R] (σ : Type.{u2}) [_inst_4 : IsEmpty.{succ u2} σ], Function.Surjective.{succ u1, max (succ u2) (succ u1)} R (MvPolynomial.{u2, u1} σ R _inst_3) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_3) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_3) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_3)))) (fun (_x : RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_3) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_3) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_3)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_3)) (RingHom.hasCoeToFun.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_3) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_3) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_3)))) (MvPolynomial.C.{u1, u2} R σ _inst_3))
 but is expected to have type
-  forall {R : Type.{u2}} [_inst_3 : CommSemiring.{u2} R] (σ : Type.{u1}) [_inst_4 : IsEmpty.{succ u1} σ], Function.Surjective.{succ u2, max (succ u2) (succ u1)} R (MvPolynomial.{u1, u2} σ R _inst_3) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_3) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_3) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_3) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_3)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_3) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_3) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_3) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_3) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_3)))) R (MvPolynomial.{u1, u2} σ R _inst_3) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_3) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_3) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_3) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_3))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_3) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_3) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_3) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_3)))) R (MvPolynomial.{u1, u2} σ R _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_3) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_3) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_3) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_3)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_3) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_3) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_3) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_3)))) R (MvPolynomial.{u1, u2} σ R _inst_3) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_3) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_3) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_3))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_3) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_3) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_3) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_3))))))) (MvPolynomial.C.{u2, u1} R σ _inst_3))
+  forall {R : Type.{u2}} [_inst_3 : CommSemiring.{u2} R] (σ : Type.{u1}) [_inst_4 : IsEmpty.{succ u1} σ], Function.Surjective.{succ u2, max (succ u2) (succ u1)} R (MvPolynomial.{u1, u2} σ R _inst_3) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_3) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_3) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_3) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_3)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_3) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_3) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_3) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_3) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_3)))) R (MvPolynomial.{u1, u2} σ R _inst_3) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_3) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_3) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_3) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_3))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_3) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_3) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_3) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_3)))) R (MvPolynomial.{u1, u2} σ R _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_3) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_3) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_3) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_3)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_3) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_3) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_3) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_3)))) R (MvPolynomial.{u1, u2} σ R _inst_3) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_3) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_3) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_3))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_3) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_3) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_3) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_3))))))) (MvPolynomial.C.{u2, u1} R σ _inst_3))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.C_surjective MvPolynomial.C_surjectiveₓ'. -/
 theorem C_surjective {R : Type _} [CommSemiring R] (σ : Type _) [IsEmpty σ] :
     Function.Surjective (C : R → MvPolynomial σ R) :=
@@ -348,7 +348,7 @@ theorem C_surjective {R : Type _} [CommSemiring R] (σ : Type _) [IsEmpty σ] :
 lean 3 declaration is
   forall {σ : Type.{u1}} (R : Type.{u2}) [_inst_3 : CommSemiring.{u2} R] (r : R) (s : R), Iff (Eq.{max (succ u1) (succ u2)} (MvPolynomial.{u1, u2} σ R _inst_3) (coeFn.{max (succ u2) (succ (max u1 u2)), max (succ u2) (succ (max u1 u2))} (RingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_3) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_3) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_3) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_3)))) (fun (_x : RingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_3) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_3) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_3) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_3)))) => R -> (MvPolynomial.{u1, u2} σ R _inst_3)) (RingHom.hasCoeToFun.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_3) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_3) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_3) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_3)))) (MvPolynomial.C.{u2, u1} R σ _inst_3) r) (coeFn.{max (succ u2) (succ (max u1 u2)), max (succ u2) (succ (max u1 u2))} (RingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_3) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_3) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_3) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_3)))) (fun (_x : RingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_3) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_3) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_3) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_3)))) => R -> (MvPolynomial.{u1, u2} σ R _inst_3)) (RingHom.hasCoeToFun.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_3) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_3) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_3) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_3)))) (MvPolynomial.C.{u2, u1} R σ _inst_3) s)) (Eq.{succ u2} R r s)
 but is expected to have type
-  forall {σ : Type.{u2}} (R : Type.{u1}) [_inst_3 : CommSemiring.{u1} R] (r : R) (s : R), Iff (Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u2, u1} σ R _inst_3) r) (FunLike.coe.{max (succ u2) (succ u1), succ u1, max (succ u2) (succ u1)} (RingHom.{u1, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_3)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u2, u1} σ R _inst_3) _x) (MulHomClass.toFunLike.{max u2 u1, u1, max u2 u1} (RingHom.{u1, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_3)))) R (MvPolynomial.{u2, u1} σ R _inst_3) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)))) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_3) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_3))))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u1, max u2 u1} (RingHom.{u1, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_3)))) R (MvPolynomial.{u2, u1} σ R _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_3) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_3)))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u1, max u2 u1} (RingHom.{u1, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_3)))) R (MvPolynomial.{u2, u1} σ R _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_3))) (RingHom.instRingHomClassRingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_3))))))) (MvPolynomial.C.{u1, u2} R σ _inst_3) r) (FunLike.coe.{max (succ u2) (succ u1), succ u1, max (succ u2) (succ u1)} (RingHom.{u1, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_3)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u2, u1} σ R _inst_3) _x) (MulHomClass.toFunLike.{max u2 u1, u1, max u2 u1} (RingHom.{u1, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_3)))) R (MvPolynomial.{u2, u1} σ R _inst_3) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)))) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_3) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_3))))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u1, max u2 u1} (RingHom.{u1, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_3)))) R (MvPolynomial.{u2, u1} σ R _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_3) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_3)))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u1, max u2 u1} (RingHom.{u1, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_3)))) R (MvPolynomial.{u2, u1} σ R _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_3))) (RingHom.instRingHomClassRingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_3))))))) (MvPolynomial.C.{u1, u2} R σ _inst_3) s)) (Eq.{succ u1} R r s)
+  forall {σ : Type.{u2}} (R : Type.{u1}) [_inst_3 : CommSemiring.{u1} R] (r : R) (s : R), Iff (Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u2, u1} σ R _inst_3) r) (FunLike.coe.{max (succ u2) (succ u1), succ u1, max (succ u2) (succ u1)} (RingHom.{u1, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_3)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u2, u1} σ R _inst_3) _x) (MulHomClass.toFunLike.{max u2 u1, u1, max u2 u1} (RingHom.{u1, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_3)))) R (MvPolynomial.{u2, u1} σ R _inst_3) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)))) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_3) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_3))))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u1, max u2 u1} (RingHom.{u1, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_3)))) R (MvPolynomial.{u2, u1} σ R _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_3) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_3)))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u1, max u2 u1} (RingHom.{u1, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_3)))) R (MvPolynomial.{u2, u1} σ R _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_3))) (RingHom.instRingHomClassRingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_3))))))) (MvPolynomial.C.{u1, u2} R σ _inst_3) r) (FunLike.coe.{max (succ u2) (succ u1), succ u1, max (succ u2) (succ u1)} (RingHom.{u1, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_3)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u2, u1} σ R _inst_3) _x) (MulHomClass.toFunLike.{max u2 u1, u1, max u2 u1} (RingHom.{u1, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_3)))) R (MvPolynomial.{u2, u1} σ R _inst_3) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)))) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_3) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_3))))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u1, max u2 u1} (RingHom.{u1, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_3)))) R (MvPolynomial.{u2, u1} σ R _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_3) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_3)))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u1, max u2 u1} (RingHom.{u1, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_3)))) R (MvPolynomial.{u2, u1} σ R _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_3))) (RingHom.instRingHomClassRingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_3))))))) (MvPolynomial.C.{u1, u2} R σ _inst_3) s)) (Eq.{succ u1} R r s)
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.C_inj MvPolynomial.C_injₓ'. -/
 @[simp]
 theorem C_inj {σ : Type _} (R : Type _) [CommSemiring R] (r s : R) :
@@ -375,7 +375,7 @@ instance infinite_of_nonempty (σ : Type _) (R : Type _) [Nonempty σ] [CommSemi
 lean 3 declaration is
   forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] (n : Nat), Eq.{max (succ u2) (succ u1)} (MvPolynomial.{u2, u1} σ R _inst_1) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (fun (_x : RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (MvPolynomial.C.{u1, u2} R σ _inst_1) ((fun (a : Type) (b : Type.{u1}) [self : HasLiftT.{1, succ u1} a b] => self.0) Nat R (HasLiftT.mk.{1, succ u1} Nat R (CoeTCₓ.coe.{1, succ u1} Nat R (Nat.castCoe.{u1} R (AddMonoidWithOne.toNatCast.{u1} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} R (NonAssocSemiring.toAddCommMonoidWithOne.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))))) n)) ((fun (a : Type) (b : Sort.{max (succ u2) (succ u1)}) [self : HasLiftT.{1, max (succ u2) (succ u1)} a b] => self.0) Nat (MvPolynomial.{u2, u1} σ R _inst_1) (HasLiftT.mk.{1, max (succ u2) (succ u1)} Nat (MvPolynomial.{u2, u1} σ R _inst_1) (CoeTCₓ.coe.{1, max (succ u2) (succ u1)} Nat (MvPolynomial.{u2, u1} σ R _inst_1) (Nat.castCoe.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (AddMonoidWithOne.toNatCast.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (AddCommMonoidWithOne.toAddMonoidWithOne.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toAddCommMonoidWithOne.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))))) n)
 but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] (n : Nat), Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) (Nat.cast.{u2} R (Semiring.toNatCast.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) n)) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) (Nat.cast.{u2} R (Semiring.toNatCast.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) n)) (Nat.cast.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) (Nat.cast.{u2} R (Semiring.toNatCast.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) n)) (Semiring.toNatCast.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) (Nat.cast.{u2} R (Semiring.toNatCast.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) n)) (CommSemiring.toSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) (Nat.cast.{u2} R (Semiring.toNatCast.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) n)) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) n)
+  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] (n : Nat), Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) (Nat.cast.{u2} R (Semiring.toNatCast.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) n)) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) (Nat.cast.{u2} R (Semiring.toNatCast.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) n)) (Nat.cast.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) (Nat.cast.{u2} R (Semiring.toNatCast.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) n)) (Semiring.toNatCast.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) (Nat.cast.{u2} R (Semiring.toNatCast.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) n)) (CommSemiring.toSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) (Nat.cast.{u2} R (Semiring.toNatCast.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) n)) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) n)
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.C_eq_coe_nat MvPolynomial.C_eq_coe_natₓ'. -/
 theorem C_eq_coe_nat (n : ℕ) : (C ↑n : MvPolynomial σ R) = n := by
   induction n <;> simp [Nat.succ_eq_add_one, *]
@@ -385,7 +385,7 @@ theorem C_eq_coe_nat (n : ℕ) : (C ↑n : MvPolynomial σ R) = n := by
 lean 3 declaration is
   forall {R : Type.{u1}} {σ : Type.{u2}} {a : R} [_inst_1 : CommSemiring.{u1} R] {p : MvPolynomial.{u2, u1} σ R _inst_1}, Eq.{succ (max u2 u1)} (MvPolynomial.{u2, u1} σ R _inst_1) (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Distrib.toHasMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (fun (_x : RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (MvPolynomial.C.{u1, u2} R σ _inst_1) a) p) (SMul.smul.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (SMulZeroClass.toHasSmul.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (MulZeroClass.toHasZero.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toMulZeroClass.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))))) (MvPolynomial.smulZeroClass.{u1, u1, u2} R R σ _inst_1 (SMulWithZero.toSmulZeroClass.{u1, u1} R R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (MulZeroClass.toSMulWithZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))))) a p)
 but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} {a : R} [_inst_1 : CommSemiring.{u2} R] {p : MvPolynomial.{u1, u2} σ R _inst_1}, Eq.{max (succ u2) (succ u1)} (MvPolynomial.{u1, u2} σ R _inst_1) (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (instHMul.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (Semiring.toNonAssocSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (CommSemiring.toSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) a) p) (HSMul.hSMul.{u2, max u2 u1, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (instHSMul.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Algebra.toSMul.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) a p)
+  forall {R : Type.{u2}} {σ : Type.{u1}} {a : R} [_inst_1 : CommSemiring.{u2} R] {p : MvPolynomial.{u1, u2} σ R _inst_1}, Eq.{max (succ u2) (succ u1)} (MvPolynomial.{u1, u2} σ R _inst_1) (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (instHMul.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (Semiring.toNonAssocSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (CommSemiring.toSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) a) p) (HSMul.hSMul.{u2, max u2 u1, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (instHSMul.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Algebra.toSMul.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) a p)
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.C_mul' MvPolynomial.C_mul'ₓ'. -/
 theorem C_mul' : MvPolynomial.C a * p = a • p :=
   (Algebra.smul_def a p).symm
@@ -395,7 +395,7 @@ theorem C_mul' : MvPolynomial.C a * p = a • p :=
 lean 3 declaration is
   forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] (p : MvPolynomial.{u2, u1} σ R _inst_1) (a : R), Eq.{succ (max u2 u1)} (MvPolynomial.{u2, u1} σ R _inst_1) (SMul.smul.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (SMulZeroClass.toHasSmul.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (MulZeroClass.toHasZero.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toMulZeroClass.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))))) (MvPolynomial.smulZeroClass.{u1, u1, u2} R R σ _inst_1 (SMulWithZero.toSmulZeroClass.{u1, u1} R R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (MulZeroClass.toSMulWithZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))))) a p) (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Distrib.toHasMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (fun (_x : RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (MvPolynomial.C.{u1, u2} R σ _inst_1) a) p)
 but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] (p : MvPolynomial.{u1, u2} σ R _inst_1) (a : R), Eq.{max (succ u2) (succ u1)} (MvPolynomial.{u1, u2} σ R _inst_1) (HSMul.hSMul.{u2, max u2 u1, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (instHSMul.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Algebra.toSMul.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) a p) (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (instHMul.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (Semiring.toNonAssocSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (CommSemiring.toSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) a) p)
+  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] (p : MvPolynomial.{u1, u2} σ R _inst_1) (a : R), Eq.{max (succ u2) (succ u1)} (MvPolynomial.{u1, u2} σ R _inst_1) (HSMul.hSMul.{u2, max u2 u1, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (instHSMul.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Algebra.toSMul.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) a p) (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (instHMul.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (Semiring.toNonAssocSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (CommSemiring.toSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) a) p)
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.smul_eq_C_mul MvPolynomial.smul_eq_C_mulₓ'. -/
 theorem smul_eq_C_mul (p : MvPolynomial σ R) (a : R) : a • p = C a * p :=
   C_mul'.symm
@@ -405,7 +405,7 @@ theorem smul_eq_C_mul (p : MvPolynomial σ R) (a : R) : a • p = C a * p :=
 lean 3 declaration is
   forall {R : Type.{u1}} {σ : Type.{u2}} {a : R} [_inst_1 : CommSemiring.{u1} R], Eq.{max (succ u2) (succ u1)} (MvPolynomial.{u2, u1} σ R _inst_1) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (fun (_x : RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (MvPolynomial.C.{u1, u2} R σ _inst_1) a) (SMul.smul.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (SMulZeroClass.toHasSmul.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (MulZeroClass.toHasZero.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toMulZeroClass.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))))) (MvPolynomial.smulZeroClass.{u1, u1, u2} R R σ _inst_1 (SMulWithZero.toSmulZeroClass.{u1, u1} R R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (MulZeroClass.toSMulWithZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))))) a (OfNat.ofNat.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) 1 (OfNat.mk.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) 1 (One.one.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (AddMonoidWithOne.toOne.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (AddCommMonoidWithOne.toAddMonoidWithOne.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toAddCommMonoidWithOne.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))))))
 but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} {a : R} [_inst_1 : CommSemiring.{u2} R], Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) a) (HSMul.hSMul.{u2, max u2 u1, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (instHSMul.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Algebra.toSMul.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) a (OfNat.ofNat.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) 1 (One.toOfNat1.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toOne.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))
+  forall {R : Type.{u2}} {σ : Type.{u1}} {a : R} [_inst_1 : CommSemiring.{u2} R], Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) a) (HSMul.hSMul.{u2, max u2 u1, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (instHSMul.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Algebra.toSMul.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) a (OfNat.ofNat.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) 1 (One.toOfNat1.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toOne.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.C_eq_smul_one MvPolynomial.C_eq_smul_oneₓ'. -/
 theorem C_eq_smul_one : (C a : MvPolynomial σ R) = a • 1 := by rw [← C_mul', mul_one]
 #align mv_polynomial.C_eq_smul_one MvPolynomial.C_eq_smul_one
@@ -479,7 +479,7 @@ variable {σ R}
 lean 3 declaration is
   forall {R : Type.{u1}} {σ : Type.{u2}} {s : Finsupp.{u2, 0} σ Nat Nat.hasZero} [_inst_1 : CommSemiring.{u1} R], Eq.{max (succ u2) (succ u1)} (MvPolynomial.{u2, u1} σ R _inst_1) (coeFn.{max (succ (max u2 u1)) (succ u2), max (succ u2) (succ (max u2 u1))} (MonoidHom.{u2, max u2 u1} (Multiplicative.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (MvPolynomial.{u2, u1} σ R _inst_1) (Multiplicative.mulOneClass.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.addZeroClass.{u2, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid))) (MulZeroOneClass.toMulOneClass.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toMulZeroOneClass.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))))) (fun (_x : MonoidHom.{u2, max u2 u1} (Multiplicative.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (MvPolynomial.{u2, u1} σ R _inst_1) (Multiplicative.mulOneClass.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.addZeroClass.{u2, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid))) (MulZeroOneClass.toMulOneClass.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toMulZeroOneClass.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))))) => (Multiplicative.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) -> (MvPolynomial.{u2, u1} σ R _inst_1)) (MonoidHom.hasCoeToFun.{u2, max u2 u1} (Multiplicative.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (MvPolynomial.{u2, u1} σ R _inst_1) (Multiplicative.mulOneClass.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.addZeroClass.{u2, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid))) (MulZeroOneClass.toMulOneClass.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toMulZeroOneClass.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))))) (MvPolynomial.monomialOneHom.{u1, u2} R σ _inst_1) s) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 s) (OfNat.ofNat.{u1} R 1 (OfNat.mk.{u1} R 1 (One.one.{u1} R (AddMonoidWithOne.toOne.{u1} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} R (NonAssocSemiring.toAddCommMonoidWithOne.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))))))
 but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} {s : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)} [_inst_1 : CommSemiring.{u2} R], Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : Multiplicative.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) => MvPolynomial.{u1, u2} σ R _inst_1) s) (FunLike.coe.{max (succ u2) (succ u1), succ u1, max (succ u2) (succ u1)} (MonoidHom.{u1, max u2 u1} (Multiplicative.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (MvPolynomial.{u1, u2} σ R _inst_1) (Multiplicative.mulOneClass.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.addZeroClass.{u1, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid))) (MulZeroOneClass.toMulOneClass.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toMulZeroOneClass.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (Multiplicative.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (fun (_x : Multiplicative.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : Multiplicative.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u2 u1, u1, max u2 u1} (MonoidHom.{u1, max u2 u1} (Multiplicative.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (MvPolynomial.{u1, u2} σ R _inst_1) (Multiplicative.mulOneClass.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.addZeroClass.{u1, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid))) (MulZeroOneClass.toMulOneClass.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toMulZeroOneClass.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (Multiplicative.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (MvPolynomial.{u1, u2} σ R _inst_1) (MulOneClass.toMul.{u1} (Multiplicative.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (Multiplicative.mulOneClass.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.addZeroClass.{u1, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)))) (MulOneClass.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MulZeroOneClass.toMulOneClass.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toMulZeroOneClass.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (MonoidHomClass.toMulHomClass.{max u2 u1, u1, max u2 u1} (MonoidHom.{u1, max u2 u1} (Multiplicative.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (MvPolynomial.{u1, u2} σ R _inst_1) (Multiplicative.mulOneClass.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.addZeroClass.{u1, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid))) (MulZeroOneClass.toMulOneClass.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toMulZeroOneClass.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (Multiplicative.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (MvPolynomial.{u1, u2} σ R _inst_1) (Multiplicative.mulOneClass.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.addZeroClass.{u1, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid))) (MulZeroOneClass.toMulOneClass.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toMulZeroOneClass.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (MonoidHom.monoidHomClass.{u1, max u2 u1} (Multiplicative.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (MvPolynomial.{u1, u2} σ R _inst_1) (Multiplicative.mulOneClass.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.addZeroClass.{u1, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid))) (MulZeroOneClass.toMulOneClass.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toMulZeroOneClass.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))))) (MvPolynomial.monomialOneHom.{u2, u1} R σ _inst_1) s) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s) (OfNat.ofNat.{u2} R 1 (One.toOfNat1.{u2} R (Semiring.toOne.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))))
+  forall {R : Type.{u2}} {σ : Type.{u1}} {s : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)} [_inst_1 : CommSemiring.{u2} R], Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : Multiplicative.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) => MvPolynomial.{u1, u2} σ R _inst_1) s) (FunLike.coe.{max (succ u2) (succ u1), succ u1, max (succ u2) (succ u1)} (MonoidHom.{u1, max u2 u1} (Multiplicative.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (MvPolynomial.{u1, u2} σ R _inst_1) (Multiplicative.mulOneClass.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.addZeroClass.{u1, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid))) (MulZeroOneClass.toMulOneClass.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toMulZeroOneClass.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (Multiplicative.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (fun (_x : Multiplicative.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : Multiplicative.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u2 u1, u1, max u2 u1} (MonoidHom.{u1, max u2 u1} (Multiplicative.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (MvPolynomial.{u1, u2} σ R _inst_1) (Multiplicative.mulOneClass.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.addZeroClass.{u1, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid))) (MulZeroOneClass.toMulOneClass.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toMulZeroOneClass.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (Multiplicative.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (MvPolynomial.{u1, u2} σ R _inst_1) (MulOneClass.toMul.{u1} (Multiplicative.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (Multiplicative.mulOneClass.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.addZeroClass.{u1, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)))) (MulOneClass.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MulZeroOneClass.toMulOneClass.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toMulZeroOneClass.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (MonoidHomClass.toMulHomClass.{max u2 u1, u1, max u2 u1} (MonoidHom.{u1, max u2 u1} (Multiplicative.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (MvPolynomial.{u1, u2} σ R _inst_1) (Multiplicative.mulOneClass.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.addZeroClass.{u1, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid))) (MulZeroOneClass.toMulOneClass.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toMulZeroOneClass.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (Multiplicative.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (MvPolynomial.{u1, u2} σ R _inst_1) (Multiplicative.mulOneClass.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.addZeroClass.{u1, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid))) (MulZeroOneClass.toMulOneClass.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toMulZeroOneClass.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (MonoidHom.monoidHomClass.{u1, max u2 u1} (Multiplicative.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (MvPolynomial.{u1, u2} σ R _inst_1) (Multiplicative.mulOneClass.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.addZeroClass.{u1, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid))) (MulZeroOneClass.toMulOneClass.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toMulZeroOneClass.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))))) (MvPolynomial.monomialOneHom.{u2, u1} R σ _inst_1) s) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s) (OfNat.ofNat.{u2} R 1 (One.toOfNat1.{u2} R (Semiring.toOne.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.monomial_one_hom_apply MvPolynomial.monomialOneHom_applyₓ'. -/
 @[simp]
 theorem monomialOneHom_apply : monomialOneHom R σ s = (monomial s 1 : MvPolynomial σ R) :=
@@ -519,7 +519,7 @@ theorem monomial_single_add : monomial (single n e + s) a = X n ^ e * monomial s
 lean 3 declaration is
   forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {s : σ} {a : R} {n : Nat}, Eq.{succ (max u2 u1)} (MvPolynomial.{u2, u1} σ R _inst_1) (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Distrib.toHasMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (fun (_x : RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (MvPolynomial.C.{u1, u2} R σ _inst_1) a) (HPow.hPow.{max u2 u1, 0, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) Nat (MvPolynomial.{u2, u1} σ R _inst_1) (instHPow.{max u2 u1, 0} (MvPolynomial.{u2, u1} σ R _inst_1) Nat (Monoid.Pow.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MonoidWithZero.toMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toMonoidWithZero.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))))) (MvPolynomial.X.{u1, u2} R σ _inst_1 s) n)) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 (Finsupp.single.{u2, 0} σ Nat Nat.hasZero s n)) a)
 but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] {s : σ} {a : R} {n : Nat}, Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (HMul.hMul.{max u2 u1, max u1 u2, max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (MvPolynomial.{u1, u2} σ R _inst_1) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (instHMul.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (Semiring.toNonAssocSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (CommSemiring.toSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) a) (HPow.hPow.{max u1 u2, 0, max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) Nat (MvPolynomial.{u1, u2} σ R _inst_1) (instHPow.{max u1 u2, 0} (MvPolynomial.{u1, u2} σ R _inst_1) Nat (Monoid.Pow.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MonoidWithZero.toMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toMonoidWithZero.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (MvPolynomial.X.{u2, u1} R σ _inst_1 s) n)) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 (Finsupp.single.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) s n)) a)
+  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] {s : σ} {a : R} {n : Nat}, Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (HMul.hMul.{max u2 u1, max u1 u2, max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (MvPolynomial.{u1, u2} σ R _inst_1) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (instHMul.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (Semiring.toNonAssocSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (CommSemiring.toSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) a) (HPow.hPow.{max u1 u2, 0, max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) Nat (MvPolynomial.{u1, u2} σ R _inst_1) (instHPow.{max u1 u2, 0} (MvPolynomial.{u1, u2} σ R _inst_1) Nat (Monoid.Pow.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MonoidWithZero.toMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toMonoidWithZero.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (MvPolynomial.X.{u2, u1} R σ _inst_1 s) n)) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 (Finsupp.single.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) s n)) a)
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.C_mul_X_pow_eq_monomial MvPolynomial.C_mul_X_pow_eq_monomialₓ'. -/
 theorem C_mul_X_pow_eq_monomial {s : σ} {a : R} {n : ℕ} : C a * X s ^ n = monomial (single s n) a :=
   by rw [← zero_add (single s n), monomial_add_single, C_apply]
@@ -529,7 +529,7 @@ theorem C_mul_X_pow_eq_monomial {s : σ} {a : R} {n : ℕ} : C a * X s ^ n = mon
 lean 3 declaration is
   forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {s : σ} {a : R}, Eq.{succ (max u2 u1)} (MvPolynomial.{u2, u1} σ R _inst_1) (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Distrib.toHasMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (fun (_x : RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (MvPolynomial.C.{u1, u2} R σ _inst_1) a) (MvPolynomial.X.{u1, u2} R σ _inst_1 s)) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 (Finsupp.single.{u2, 0} σ Nat Nat.hasZero s (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) a)
 but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] {s : σ} {a : R}, Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (HMul.hMul.{max u2 u1, max u1 u2, max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (MvPolynomial.{u1, u2} σ R _inst_1) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (instHMul.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (Semiring.toNonAssocSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (CommSemiring.toSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) a) (MvPolynomial.X.{u2, u1} R σ _inst_1 s)) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 (Finsupp.single.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) s (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) a)
+  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] {s : σ} {a : R}, Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (HMul.hMul.{max u2 u1, max u1 u2, max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (MvPolynomial.{u1, u2} σ R _inst_1) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (instHMul.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (Semiring.toNonAssocSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (CommSemiring.toSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) a) (MvPolynomial.X.{u2, u1} R σ _inst_1 s)) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 (Finsupp.single.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) s (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) a)
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.C_mul_X_eq_monomial MvPolynomial.C_mul_X_eq_monomialₓ'. -/
 theorem C_mul_X_eq_monomial {s : σ} {a : R} : C a * X s = monomial (single s 1) a := by
   rw [← C_mul_X_pow_eq_monomial, pow_one]
@@ -550,7 +550,7 @@ theorem monomial_zero {s : σ →₀ ℕ} : monomial s (0 : R) = 0 :=
 lean 3 declaration is
   forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R], Eq.{max (succ u2) (succ u1)} ((fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 (OfNat.ofNat.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) 0 (OfNat.mk.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) 0 (Zero.zero.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.zero.{u2, 0} σ Nat Nat.hasZero)))))) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 (OfNat.ofNat.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) 0 (OfNat.mk.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) 0 (Zero.zero.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.zero.{u2, 0} σ Nat Nat.hasZero)))))) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (fun (_x : RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (MvPolynomial.C.{u1, u2} R σ _inst_1))
 but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R], Eq.{max (succ u2) (succ u1)} (forall (a : R), (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 (OfNat.ofNat.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) 0 (Zero.toOfNat0.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.zero.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)))))) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1))
+  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R], Eq.{max (succ u2) (succ u1)} (forall (a : R), (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 (OfNat.ofNat.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) 0 (Zero.toOfNat0.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.zero.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)))))) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.monomial_zero' MvPolynomial.monomial_zero'ₓ'. -/
 @[simp]
 theorem monomial_zero' : (monomial (0 : σ →₀ ℕ) : R → MvPolynomial σ R) = C :=
@@ -584,7 +584,7 @@ theorem sum_monomial_eq {A : Type _} [AddCommMonoid A] {u : σ →₀ ℕ} {r :
 lean 3 declaration is
   forall {R : Type.{u1}} {σ : Type.{u2}} {a : R} [_inst_1 : CommSemiring.{u1} R] {A : Type.{u3}} [_inst_3 : AddCommMonoid.{u3} A] {b : (Finsupp.{u2, 0} σ Nat Nat.hasZero) -> R -> A}, (Eq.{succ u3} A (b (OfNat.ofNat.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) 0 (OfNat.mk.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) 0 (Zero.zero.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.zero.{u2, 0} σ Nat Nat.hasZero)))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))))))) (OfNat.ofNat.{u3} A 0 (OfNat.mk.{u3} A 0 (Zero.zero.{u3} A (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A _inst_3))))))) -> (Eq.{succ u3} A (Finsupp.sum.{u2, u1, u3} (Finsupp.{u2, 0} σ Nat Nat.hasZero) R A (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) _inst_3 (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (fun (_x : RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (MvPolynomial.C.{u1, u2} R σ _inst_1) a) b) (b (OfNat.ofNat.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) 0 (OfNat.mk.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) 0 (Zero.zero.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.zero.{u2, 0} σ Nat Nat.hasZero)))) a))
 but is expected to have type
-  forall {R : Type.{u3}} {σ : Type.{u1}} {a : R} [_inst_1 : CommSemiring.{u3} R] {A : Type.{u2}} [_inst_3 : AddCommMonoid.{u2} A] {b : (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) -> R -> A}, (Eq.{succ u2} A (b (OfNat.ofNat.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) 0 (Zero.toOfNat0.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.zero.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)))) (OfNat.ofNat.{u3} R 0 (Zero.toOfNat0.{u3} R (CommMonoidWithZero.toZero.{u3} R (CommSemiring.toCommMonoidWithZero.{u3} R _inst_1))))) (OfNat.ofNat.{u2} A 0 (Zero.toOfNat0.{u2} A (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A _inst_3))))) -> (Eq.{succ u2} A (Finsupp.sum.{u1, u3, u2} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R A (MonoidWithZero.toZero.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) _inst_3 (FunLike.coe.{max (succ u1) (succ u3), succ u3, max (succ u1) (succ u3)} (RingHom.{u3, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u3} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u3, u3, max u1 u3} (RingHom.{u3, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u3, u3, max u1 u3} (RingHom.{u3, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u3, u3, max u1 u3} (RingHom.{u3, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))))) (MvPolynomial.C.{u3, u1} R σ _inst_1) a) b) (b (OfNat.ofNat.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) 0 (Zero.toOfNat0.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.zero.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)))) a))
+  forall {R : Type.{u3}} {σ : Type.{u1}} {a : R} [_inst_1 : CommSemiring.{u3} R] {A : Type.{u2}} [_inst_3 : AddCommMonoid.{u2} A] {b : (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) -> R -> A}, (Eq.{succ u2} A (b (OfNat.ofNat.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) 0 (Zero.toOfNat0.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.zero.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)))) (OfNat.ofNat.{u3} R 0 (Zero.toOfNat0.{u3} R (CommMonoidWithZero.toZero.{u3} R (CommSemiring.toCommMonoidWithZero.{u3} R _inst_1))))) (OfNat.ofNat.{u2} A 0 (Zero.toOfNat0.{u2} A (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A _inst_3))))) -> (Eq.{succ u2} A (Finsupp.sum.{u1, u3, u2} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R A (MonoidWithZero.toZero.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) _inst_3 (FunLike.coe.{max (succ u1) (succ u3), succ u3, max (succ u1) (succ u3)} (RingHom.{u3, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u3} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u3, u3, max u1 u3} (RingHom.{u3, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u3, u3, max u1 u3} (RingHom.{u3, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u3, u3, max u1 u3} (RingHom.{u3, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))))) (MvPolynomial.C.{u3, u1} R σ _inst_1) a) b) (b (OfNat.ofNat.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) 0 (Zero.toOfNat0.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.zero.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)))) a))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.sum_C MvPolynomial.sum_Cₓ'. -/
 @[simp]
 theorem sum_C {A : Type _} [AddCommMonoid A] {b : (σ →₀ ℕ) → R → A} (w : b 0 0 = 0) :
@@ -607,7 +607,7 @@ theorem monomial_sum_one {α : Type _} (s : Finset α) (f : α → σ →₀ ℕ
 lean 3 declaration is
   forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {α : Type.{u3}} (s : Finset.{u3} α) (f : α -> (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (a : R), Eq.{max (succ u2) (succ u1)} (MvPolynomial.{u2, u1} σ R _inst_1) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 (Finset.sum.{u2, u3} (Finsupp.{u2, 0} σ Nat Nat.hasZero) α (Finsupp.addCommMonoid.{u2, 0} σ Nat Nat.addCommMonoid) s (fun (i : α) => f i))) a) (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Distrib.toHasMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (fun (_x : RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (MvPolynomial.C.{u1, u2} R σ _inst_1) a) (Finset.prod.{max u2 u1, u3} (MvPolynomial.{u2, u1} σ R _inst_1) α (CommSemiring.toCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) s (fun (i : α) => coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 (f i)) (OfNat.ofNat.{u1} R 1 (OfNat.mk.{u1} R 1 (One.one.{u1} R (AddMonoidWithOne.toOne.{u1} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} R (NonAssocSemiring.toAddCommMonoidWithOne.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))))))))
 but is expected to have type
-  forall {R : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u3} R] {α : Type.{u2}} (s : Finset.{u2} α) (f : α -> (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (a : R), Eq.{max (succ u3) (succ u1)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u3} σ R _inst_1) a) (FunLike.coe.{max (succ u1) (succ u3), succ u3, max (succ u1) (succ u3)} (LinearMap.{u3, u3, u3, max u3 u1} R R (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) R (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (MvPolynomial.module.{u3, u3, u1} R R σ (CommSemiring.toSemiring.{u3} R _inst_1) _inst_1 (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u3} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u3, u3, u3, max u1 u3} R R R (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (MvPolynomial.module.{u3, u3, u1} R R σ (CommSemiring.toSemiring.{u3} R _inst_1) _inst_1 (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (MvPolynomial.monomial.{u3, u1} R σ _inst_1 (Finset.sum.{u1, u2} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) α (Finsupp.addCommMonoid.{u1, 0} σ Nat Nat.addCommMonoid) s (fun (i : α) => f i))) a) (HMul.hMul.{max u3 u1, max u1 u3, max u3 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u3} σ R _inst_1) a) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u3} σ R _inst_1) (OfNat.ofNat.{u3} R 1 (One.toOfNat1.{u3} R (Semiring.toOne.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))))) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u3} σ R _inst_1) a) (instHMul.{max u3 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u3} σ R _inst_1) a) (NonUnitalNonAssocSemiring.toMul.{max u3 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u3} σ R _inst_1) a) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u3} σ R _inst_1) a) (Semiring.toNonAssocSemiring.{max u3 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u3} σ R _inst_1) a) (CommSemiring.toSemiring.{max u3 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u3} σ R _inst_1) a) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))))) (FunLike.coe.{max (succ u1) (succ u3), succ u3, max (succ u1) (succ u3)} (RingHom.{u3, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u3} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u3, u3, max u1 u3} (RingHom.{u3, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u3, u3, max u1 u3} (RingHom.{u3, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u3, u3, max u1 u3} (RingHom.{u3, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))))) (MvPolynomial.C.{u3, u1} R σ _inst_1) a) (Finset.prod.{max u1 u3, u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u3} σ R _inst_1) (OfNat.ofNat.{u3} R 1 (One.toOfNat1.{u3} R (Semiring.toOne.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))))) α (CommSemiring.toCommMonoid.{max u1 u3} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u3} σ R _inst_1) (OfNat.ofNat.{u3} R 1 (One.toOfNat1.{u3} R (Semiring.toOne.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))))) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) s (fun (i : α) => FunLike.coe.{max (succ u1) (succ u3), succ u3, max (succ u1) (succ u3)} (LinearMap.{u3, u3, u3, max u3 u1} R R (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) R (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (MvPolynomial.module.{u3, u3, u1} R R σ (CommSemiring.toSemiring.{u3} R _inst_1) _inst_1 (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u3} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u3, u3, u3, max u1 u3} R R R (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (MvPolynomial.module.{u3, u3, u1} R R σ (CommSemiring.toSemiring.{u3} R _inst_1) _inst_1 (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (MvPolynomial.monomial.{u3, u1} R σ _inst_1 (f i)) (OfNat.ofNat.{u3} R 1 (One.toOfNat1.{u3} R (Semiring.toOne.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))))))
+  forall {R : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u3} R] {α : Type.{u2}} (s : Finset.{u2} α) (f : α -> (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (a : R), Eq.{max (succ u3) (succ u1)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u3} σ R _inst_1) a) (FunLike.coe.{max (succ u1) (succ u3), succ u3, max (succ u1) (succ u3)} (LinearMap.{u3, u3, u3, max u3 u1} R R (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) R (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (MvPolynomial.module.{u3, u3, u1} R R σ (CommSemiring.toSemiring.{u3} R _inst_1) _inst_1 (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u3} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u3, u3, u3, max u1 u3} R R R (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (MvPolynomial.module.{u3, u3, u1} R R σ (CommSemiring.toSemiring.{u3} R _inst_1) _inst_1 (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (MvPolynomial.monomial.{u3, u1} R σ _inst_1 (Finset.sum.{u1, u2} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) α (Finsupp.addCommMonoid.{u1, 0} σ Nat Nat.addCommMonoid) s (fun (i : α) => f i))) a) (HMul.hMul.{max u3 u1, max u1 u3, max u3 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u3} σ R _inst_1) a) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u3} σ R _inst_1) (OfNat.ofNat.{u3} R 1 (One.toOfNat1.{u3} R (Semiring.toOne.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))))) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u3} σ R _inst_1) a) (instHMul.{max u3 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u3} σ R _inst_1) a) (NonUnitalNonAssocSemiring.toMul.{max u3 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u3} σ R _inst_1) a) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u3} σ R _inst_1) a) (Semiring.toNonAssocSemiring.{max u3 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u3} σ R _inst_1) a) (CommSemiring.toSemiring.{max u3 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u3} σ R _inst_1) a) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))))) (FunLike.coe.{max (succ u1) (succ u3), succ u3, max (succ u1) (succ u3)} (RingHom.{u3, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u3} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u3, u3, max u1 u3} (RingHom.{u3, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u3, u3, max u1 u3} (RingHom.{u3, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u3, u3, max u1 u3} (RingHom.{u3, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))))) (MvPolynomial.C.{u3, u1} R σ _inst_1) a) (Finset.prod.{max u1 u3, u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u3} σ R _inst_1) (OfNat.ofNat.{u3} R 1 (One.toOfNat1.{u3} R (Semiring.toOne.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))))) α (CommSemiring.toCommMonoid.{max u1 u3} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u3} σ R _inst_1) (OfNat.ofNat.{u3} R 1 (One.toOfNat1.{u3} R (Semiring.toOne.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))))) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) s (fun (i : α) => FunLike.coe.{max (succ u1) (succ u3), succ u3, max (succ u1) (succ u3)} (LinearMap.{u3, u3, u3, max u3 u1} R R (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) R (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (MvPolynomial.module.{u3, u3, u1} R R σ (CommSemiring.toSemiring.{u3} R _inst_1) _inst_1 (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u3} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u3, u3, u3, max u1 u3} R R R (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (MvPolynomial.module.{u3, u3, u1} R R σ (CommSemiring.toSemiring.{u3} R _inst_1) _inst_1 (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (MvPolynomial.monomial.{u3, u1} R σ _inst_1 (f i)) (OfNat.ofNat.{u3} R 1 (One.toOfNat1.{u3} R (Semiring.toOne.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))))))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.monomial_sum_index MvPolynomial.monomial_sum_indexₓ'. -/
 theorem monomial_sum_index {α : Type _} (s : Finset α) (f : α → σ →₀ ℕ) (a : R) :
     monomial (∑ i in s, f i) a = C a * ∏ i in s, monomial (f i) 1 := by
@@ -618,7 +618,7 @@ theorem monomial_sum_index {α : Type _} (s : Finset α) (f : α → σ →₀ 
 lean 3 declaration is
   forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {α : Type.{u3}} {β : Type.{u4}} [_inst_3 : Zero.{u4} β] (f : Finsupp.{u3, u4} α β _inst_3) (g : α -> β -> (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (a : R), Eq.{max (succ u2) (succ u1)} (MvPolynomial.{u2, u1} σ R _inst_1) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 (Finsupp.sum.{u3, u4, u2} α β (Finsupp.{u2, 0} σ Nat Nat.hasZero) _inst_3 (Finsupp.addCommMonoid.{u2, 0} σ Nat Nat.addCommMonoid) f g)) a) (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Distrib.toHasMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (fun (_x : RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (MvPolynomial.C.{u1, u2} R σ _inst_1) a) (Finsupp.prod.{u3, u4, max u2 u1} α β (MvPolynomial.{u2, u1} σ R _inst_1) _inst_3 (CommSemiring.toCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) f (fun (a : α) (b : β) => coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 (g a b)) (OfNat.ofNat.{u1} R 1 (OfNat.mk.{u1} R 1 (One.one.{u1} R (AddMonoidWithOne.toOne.{u1} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} R (NonAssocSemiring.toAddCommMonoidWithOne.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))))))))
 but is expected to have type
-  forall {R : Type.{u4}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u4} R] {α : Type.{u3}} {β : Type.{u2}} [_inst_3 : Zero.{u2} β] (f : Finsupp.{u3, u2} α β _inst_3) (g : α -> β -> (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (a : R), Eq.{max (succ u4) (succ u1)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u4} σ R _inst_1) a) (FunLike.coe.{max (succ u1) (succ u4), succ u4, max (succ u1) (succ u4)} (LinearMap.{u4, u4, u4, max u4 u1} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) R (MvPolynomial.{u1, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u1} R σ _inst_1))))) (Semiring.toModule.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (MvPolynomial.module.{u4, u4, u1} R R σ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_1 (Semiring.toModule.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u4} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u4, u4, u4, max u1 u4} R R R (MvPolynomial.{u1, u4} σ R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u1} R σ _inst_1))))) (Semiring.toModule.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (MvPolynomial.module.{u4, u4, u1} R R σ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_1 (Semiring.toModule.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (MvPolynomial.monomial.{u4, u1} R σ _inst_1 (Finsupp.sum.{u3, u2, u1} α β (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) _inst_3 (Finsupp.addCommMonoid.{u1, 0} σ Nat Nat.addCommMonoid) f g)) a) (HMul.hMul.{max u4 u1, max u1 u4, max u4 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u4} σ R _inst_1) a) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u4} σ R _inst_1) (OfNat.ofNat.{u4} R 1 (One.toOfNat1.{u4} R (Semiring.toOne.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))))) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u4} σ R _inst_1) a) (instHMul.{max u4 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u4} σ R _inst_1) a) (NonUnitalNonAssocSemiring.toMul.{max u4 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u4} σ R _inst_1) a) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u4} σ R _inst_1) a) (Semiring.toNonAssocSemiring.{max u4 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u4} σ R _inst_1) a) (CommSemiring.toSemiring.{max u4 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u4} σ R _inst_1) a) (MvPolynomial.commSemiring.{u4, u1} R σ _inst_1)))))) (FunLike.coe.{max (succ u1) (succ u4), succ u4, max (succ u1) (succ u4)} (RingHom.{u4, max u4 u1} R (MvPolynomial.{u1, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u4} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u4, u4, max u1 u4} (RingHom.{u4, max u4 u1} R (MvPolynomial.{u1, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u4} (MvPolynomial.{u1, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u4} (MvPolynomial.{u1, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u4, u4, max u1 u4} (RingHom.{u4, max u4 u1} R (MvPolynomial.{u1, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u4} (MvPolynomial.{u1, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u4, u4, max u1 u4} (RingHom.{u4, max u4 u1} R (MvPolynomial.{u1, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u4, max u1 u4} R (MvPolynomial.{u1, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u1} R σ _inst_1))))))) (MvPolynomial.C.{u4, u1} R σ _inst_1) a) (Finsupp.prod.{u3, u2, max u1 u4} α β ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u4} σ R _inst_1) (OfNat.ofNat.{u4} R 1 (One.toOfNat1.{u4} R (Semiring.toOne.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))))) _inst_3 (CommSemiring.toCommMonoid.{max u1 u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u4} σ R _inst_1) (OfNat.ofNat.{u4} R 1 (One.toOfNat1.{u4} R (Semiring.toOne.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))))) (MvPolynomial.commSemiring.{u4, u1} R σ _inst_1)) f (fun (a : α) (b : β) => FunLike.coe.{max (succ u1) (succ u4), succ u4, max (succ u1) (succ u4)} (LinearMap.{u4, u4, u4, max u4 u1} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) R (MvPolynomial.{u1, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u1} R σ _inst_1))))) (Semiring.toModule.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (MvPolynomial.module.{u4, u4, u1} R R σ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_1 (Semiring.toModule.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u4} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u4, u4, u4, max u1 u4} R R R (MvPolynomial.{u1, u4} σ R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u1} R σ _inst_1))))) (Semiring.toModule.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (MvPolynomial.module.{u4, u4, u1} R R σ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_1 (Semiring.toModule.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (MvPolynomial.monomial.{u4, u1} R σ _inst_1 (g a b)) (OfNat.ofNat.{u4} R 1 (One.toOfNat1.{u4} R (Semiring.toOne.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))))))
+  forall {R : Type.{u4}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u4} R] {α : Type.{u3}} {β : Type.{u2}} [_inst_3 : Zero.{u2} β] (f : Finsupp.{u3, u2} α β _inst_3) (g : α -> β -> (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (a : R), Eq.{max (succ u4) (succ u1)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u4} σ R _inst_1) a) (FunLike.coe.{max (succ u1) (succ u4), succ u4, max (succ u1) (succ u4)} (LinearMap.{u4, u4, u4, max u4 u1} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) R (MvPolynomial.{u1, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u1} R σ _inst_1))))) (Semiring.toModule.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (MvPolynomial.module.{u4, u4, u1} R R σ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_1 (Semiring.toModule.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u4} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u4, u4, u4, max u1 u4} R R R (MvPolynomial.{u1, u4} σ R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u1} R σ _inst_1))))) (Semiring.toModule.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (MvPolynomial.module.{u4, u4, u1} R R σ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_1 (Semiring.toModule.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (MvPolynomial.monomial.{u4, u1} R σ _inst_1 (Finsupp.sum.{u3, u2, u1} α β (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) _inst_3 (Finsupp.addCommMonoid.{u1, 0} σ Nat Nat.addCommMonoid) f g)) a) (HMul.hMul.{max u4 u1, max u1 u4, max u4 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u4} σ R _inst_1) a) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u4} σ R _inst_1) (OfNat.ofNat.{u4} R 1 (One.toOfNat1.{u4} R (Semiring.toOne.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))))) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u4} σ R _inst_1) a) (instHMul.{max u4 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u4} σ R _inst_1) a) (NonUnitalNonAssocSemiring.toMul.{max u4 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u4} σ R _inst_1) a) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u4} σ R _inst_1) a) (Semiring.toNonAssocSemiring.{max u4 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u4} σ R _inst_1) a) (CommSemiring.toSemiring.{max u4 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u4} σ R _inst_1) a) (MvPolynomial.commSemiring.{u4, u1} R σ _inst_1)))))) (FunLike.coe.{max (succ u1) (succ u4), succ u4, max (succ u1) (succ u4)} (RingHom.{u4, max u4 u1} R (MvPolynomial.{u1, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u4} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u4, u4, max u1 u4} (RingHom.{u4, max u4 u1} R (MvPolynomial.{u1, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u4} (MvPolynomial.{u1, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u4} (MvPolynomial.{u1, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u4, u4, max u1 u4} (RingHom.{u4, max u4 u1} R (MvPolynomial.{u1, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u4} (MvPolynomial.{u1, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u4, u4, max u1 u4} (RingHom.{u4, max u4 u1} R (MvPolynomial.{u1, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u4, max u1 u4} R (MvPolynomial.{u1, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u1} R σ _inst_1))))))) (MvPolynomial.C.{u4, u1} R σ _inst_1) a) (Finsupp.prod.{u3, u2, max u1 u4} α β ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u4} σ R _inst_1) (OfNat.ofNat.{u4} R 1 (One.toOfNat1.{u4} R (Semiring.toOne.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))))) _inst_3 (CommSemiring.toCommMonoid.{max u1 u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u4} σ R _inst_1) (OfNat.ofNat.{u4} R 1 (One.toOfNat1.{u4} R (Semiring.toOne.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))))) (MvPolynomial.commSemiring.{u4, u1} R σ _inst_1)) f (fun (a : α) (b : β) => FunLike.coe.{max (succ u1) (succ u4), succ u4, max (succ u1) (succ u4)} (LinearMap.{u4, u4, u4, max u4 u1} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) R (MvPolynomial.{u1, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u1} R σ _inst_1))))) (Semiring.toModule.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (MvPolynomial.module.{u4, u4, u1} R R σ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_1 (Semiring.toModule.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u4} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u4, u4, u4, max u1 u4} R R R (MvPolynomial.{u1, u4} σ R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u1} R σ _inst_1))))) (Semiring.toModule.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (MvPolynomial.module.{u4, u4, u1} R R σ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_1 (Semiring.toModule.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (MvPolynomial.monomial.{u4, u1} R σ _inst_1 (g a b)) (OfNat.ofNat.{u4} R 1 (One.toOfNat1.{u4} R (Semiring.toOne.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))))))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.monomial_finsupp_sum_index MvPolynomial.monomial_finsupp_sum_indexₓ'. -/
 theorem monomial_finsupp_sum_index {α β : Type _} [Zero β] (f : α →₀ β) (g : α → β → σ →₀ ℕ)
     (a : R) : monomial (f.Sum g) a = C a * f.Prod fun a b => monomial (g a b) 1 :=
@@ -640,7 +640,7 @@ theorem monomial_eq_monomial_iff {α : Type _} (a₁ a₂ : α →₀ ℕ) (b₁
 lean 3 declaration is
   forall {R : Type.{u1}} {σ : Type.{u2}} {a : R} {s : Finsupp.{u2, 0} σ Nat Nat.hasZero} [_inst_1 : CommSemiring.{u1} R], Eq.{max (succ u2) (succ u1)} (MvPolynomial.{u2, u1} σ R _inst_1) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 s) a) (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Distrib.toHasMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (fun (_x : RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (MvPolynomial.C.{u1, u2} R σ _inst_1) a) (Finsupp.prod.{u2, 0, max u2 u1} σ Nat (MvPolynomial.{u2, u1} σ R _inst_1) Nat.hasZero (CommSemiring.toCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) s (fun (n : σ) (e : Nat) => HPow.hPow.{max u2 u1, 0, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) Nat (MvPolynomial.{u2, u1} σ R _inst_1) (instHPow.{max u2 u1, 0} (MvPolynomial.{u2, u1} σ R _inst_1) Nat (Monoid.Pow.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MonoidWithZero.toMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toMonoidWithZero.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))))) (MvPolynomial.X.{u1, u2} R σ _inst_1 n) e)))
 but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} {a : R} {s : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)} [_inst_1 : CommSemiring.{u2} R], Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s) a) (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (MvPolynomial.{u1, u2} σ R _inst_1) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (instHMul.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (Semiring.toNonAssocSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (CommSemiring.toSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) a) (Finsupp.prod.{u1, 0, max u2 u1} σ Nat (MvPolynomial.{u1, u2} σ R _inst_1) (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) (CommSemiring.toCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) s (fun (n : σ) (e : Nat) => HPow.hPow.{max u1 u2, 0, max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) Nat (MvPolynomial.{u1, u2} σ R _inst_1) (instHPow.{max u1 u2, 0} (MvPolynomial.{u1, u2} σ R _inst_1) Nat (Monoid.Pow.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MonoidWithZero.toMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toMonoidWithZero.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (MvPolynomial.X.{u2, u1} R σ _inst_1 n) e)))
+  forall {R : Type.{u2}} {σ : Type.{u1}} {a : R} {s : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)} [_inst_1 : CommSemiring.{u2} R], Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s) a) (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (MvPolynomial.{u1, u2} σ R _inst_1) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (instHMul.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (Semiring.toNonAssocSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (CommSemiring.toSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) a) (Finsupp.prod.{u1, 0, max u2 u1} σ Nat (MvPolynomial.{u1, u2} σ R _inst_1) (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) (CommSemiring.toCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) s (fun (n : σ) (e : Nat) => HPow.hPow.{max u1 u2, 0, max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) Nat (MvPolynomial.{u1, u2} σ R _inst_1) (instHPow.{max u1 u2, 0} (MvPolynomial.{u1, u2} σ R _inst_1) Nat (Monoid.Pow.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MonoidWithZero.toMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toMonoidWithZero.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (MvPolynomial.X.{u2, u1} R σ _inst_1 n) e)))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.monomial_eq MvPolynomial.monomial_eqₓ'. -/
 theorem monomial_eq : monomial s a = C a * (s.Prod fun n e => X n ^ e : MvPolynomial σ R) := by
   simp only [X_pow_eq_monomial, ← monomial_finsupp_sum_index, Finsupp.sum_single]
@@ -650,7 +650,7 @@ theorem monomial_eq : monomial s a = C a * (s.Prod fun n e => X n ^ e : MvPolyno
 lean 3 declaration is
   forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {M : (MvPolynomial.{u2, u1} σ R _inst_1) -> Prop}, (forall (a : R), M (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (fun (_x : RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (MvPolynomial.C.{u1, u2} R σ _inst_1) a)) -> (forall (p : MvPolynomial.{u2, u1} σ R _inst_1) (n : σ), (M p) -> (M (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Distrib.toHasMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))) p (MvPolynomial.X.{u1, u2} R σ _inst_1 n)))) -> (forall (s : Finsupp.{u2, 0} σ Nat Nat.hasZero) (a : R), M (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 s) a))
 but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] {M : (MvPolynomial.{u1, u2} σ R _inst_1) -> Prop}, (forall (a : R), M (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) a)) -> (forall (p : MvPolynomial.{u1, u2} σ R _inst_1) (n : σ), (M p) -> (M (HMul.hMul.{max u2 u1, max u1 u2, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) p (MvPolynomial.X.{u2, u1} R σ _inst_1 n)))) -> (forall (s : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (a : R), M (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s) a))
+  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] {M : (MvPolynomial.{u1, u2} σ R _inst_1) -> Prop}, (forall (a : R), M (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) a)) -> (forall (p : MvPolynomial.{u1, u2} σ R _inst_1) (n : σ), (M p) -> (M (HMul.hMul.{max u2 u1, max u1 u2, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) p (MvPolynomial.X.{u2, u1} R σ _inst_1 n)))) -> (forall (s : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (a : R), M (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s) a))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.induction_on_monomial MvPolynomial.induction_on_monomialₓ'. -/
 theorem induction_on_monomial {M : MvPolynomial σ R → Prop} (h_C : ∀ a, M (C a))
     (h_X : ∀ p n, M p → M (p * X n)) : ∀ s a, M (monomial s a) :=
@@ -693,7 +693,7 @@ theorem induction_on' {P : MvPolynomial σ R → Prop} (p : MvPolynomial σ R)
 lean 3 declaration is
   forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {M : (MvPolynomial.{u2, u1} σ R _inst_1) -> Prop} (p : MvPolynomial.{u2, u1} σ R _inst_1), (forall (a : R), M (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (fun (_x : RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (MvPolynomial.C.{u1, u2} R σ _inst_1) a)) -> (forall (a : Finsupp.{u2, 0} σ Nat Nat.hasZero) (b : R) (f : Finsupp.{u2, u1} (Finsupp.{u2, 0} σ Nat Nat.hasZero) R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))), (Not (Membership.Mem.{u2, u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finset.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (Finset.hasMem.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) a (Finsupp.support.{u2, u1} (Finsupp.{u2, 0} σ Nat Nat.hasZero) R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) f))) -> (Ne.{succ u1} R b (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))))))) -> (M f) -> (M (HAdd.hAdd.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (instHAdd.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Distrib.toHasAdd.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 a) b) f))) -> (M p)
 but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] {M : (MvPolynomial.{u1, u2} σ R _inst_1) -> Prop} (p : MvPolynomial.{u1, u2} σ R _inst_1), (forall (a : R), M (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) a)) -> (forall (a : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (b : R) (f : Finsupp.{u1, u2} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))), (Not (Membership.mem.{u1, u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (Finset.instMembershipFinset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) a (Finsupp.support.{u1, u2} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1)) f))) -> (Ne.{succ u2} R b (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))))) -> (M f) -> (M (HAdd.hAdd.{max u2 u1, max u2 u1, max u2 u1} (Finsupp.{u1, u2} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))) (Finsupp.{u1, u2} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))) (Finsupp.{u1, u2} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))) (instHAdd.{max u2 u1} (Finsupp.{u1, u2} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))) (Finsupp.add.{u1, u2} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (AddMonoid.toAddZeroClass.{u2} R (AddMonoidWithOne.toAddMonoid.{u2} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u2} R (NonAssocSemiring.toAddCommMonoidWithOne.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))))))) ([mdata let_fun:1 (fun (this : Finsupp.{u1, u2} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))) => this) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (a : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 a) b)]) f))) -> (M p)
+  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] {M : (MvPolynomial.{u1, u2} σ R _inst_1) -> Prop} (p : MvPolynomial.{u1, u2} σ R _inst_1), (forall (a : R), M (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) a)) -> (forall (a : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (b : R) (f : Finsupp.{u1, u2} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))), (Not (Membership.mem.{u1, u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (Finset.instMembershipFinset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) a (Finsupp.support.{u1, u2} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1)) f))) -> (Ne.{succ u2} R b (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))))) -> (M f) -> (M (HAdd.hAdd.{max u2 u1, max u2 u1, max u2 u1} (Finsupp.{u1, u2} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))) (Finsupp.{u1, u2} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))) (Finsupp.{u1, u2} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))) (instHAdd.{max u2 u1} (Finsupp.{u1, u2} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))) (Finsupp.add.{u1, u2} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (AddMonoid.toAddZeroClass.{u2} R (AddMonoidWithOne.toAddMonoid.{u2} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u2} R (NonAssocSemiring.toAddCommMonoidWithOne.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))))))) ([mdata let_fun:1 (fun (this : Finsupp.{u1, u2} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))) => this) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (a : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 a) b)]) f))) -> (M p)
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.induction_on''' MvPolynomial.induction_on'''ₓ'. -/
 /-- Similar to `mv_polynomial.induction_on` but only a weak form of `h_add` is required.-/
 theorem induction_on''' {M : MvPolynomial σ R → Prop} (p : MvPolynomial σ R) (h_C : ∀ a, M (C a))
@@ -708,7 +708,7 @@ theorem induction_on''' {M : MvPolynomial σ R → Prop} (p : MvPolynomial σ R)
 lean 3 declaration is
   forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {M : (MvPolynomial.{u2, u1} σ R _inst_1) -> Prop} (p : MvPolynomial.{u2, u1} σ R _inst_1), (forall (a : R), M (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (fun (_x : RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (MvPolynomial.C.{u1, u2} R σ _inst_1) a)) -> (forall (a : Finsupp.{u2, 0} σ Nat Nat.hasZero) (b : R) (f : Finsupp.{u2, u1} (Finsupp.{u2, 0} σ Nat Nat.hasZero) R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))), (Not (Membership.Mem.{u2, u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finset.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (Finset.hasMem.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) a (Finsupp.support.{u2, u1} (Finsupp.{u2, 0} σ Nat Nat.hasZero) R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) f))) -> (Ne.{succ u1} R b (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))))))) -> (M f) -> (M (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 a) b)) -> (M (HAdd.hAdd.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (instHAdd.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Distrib.toHasAdd.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 a) b) f))) -> (forall (p : MvPolynomial.{u2, u1} σ R _inst_1) (n : σ), (M p) -> (M (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Distrib.toHasMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))) p (MvPolynomial.X.{u1, u2} R σ _inst_1 n)))) -> (M p)
 but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] {M : (MvPolynomial.{u1, u2} σ R _inst_1) -> Prop} (p : MvPolynomial.{u1, u2} σ R _inst_1), (forall (a : R), M (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) a)) -> (forall (a : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (b : R) (f : Finsupp.{u1, u2} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))), (Not (Membership.mem.{u1, u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (Finset.instMembershipFinset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) a (Finsupp.support.{u1, u2} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1)) f))) -> (Ne.{succ u2} R b (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))))) -> (M f) -> (M (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 a) b)) -> (M (HAdd.hAdd.{max u2 u1, max u2 u1, max u2 u1} (Finsupp.{u1, u2} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))) (Finsupp.{u1, u2} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))) (Finsupp.{u1, u2} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))) (instHAdd.{max u2 u1} (Finsupp.{u1, u2} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))) (Finsupp.add.{u1, u2} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (AddMonoid.toAddZeroClass.{u2} R (AddMonoidWithOne.toAddMonoid.{u2} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u2} R (NonAssocSemiring.toAddCommMonoidWithOne.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))))))) ([mdata let_fun:1 (fun (this : Finsupp.{u1, u2} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))) => this) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (a : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 a) b)]) f))) -> (forall (p : MvPolynomial.{u1, u2} σ R _inst_1) (n : σ), (M p) -> (M (HMul.hMul.{max u2 u1, max u1 u2, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) p (MvPolynomial.X.{u2, u1} R σ _inst_1 n)))) -> (M p)
+  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] {M : (MvPolynomial.{u1, u2} σ R _inst_1) -> Prop} (p : MvPolynomial.{u1, u2} σ R _inst_1), (forall (a : R), M (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) a)) -> (forall (a : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (b : R) (f : Finsupp.{u1, u2} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))), (Not (Membership.mem.{u1, u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (Finset.instMembershipFinset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) a (Finsupp.support.{u1, u2} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1)) f))) -> (Ne.{succ u2} R b (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))))) -> (M f) -> (M (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 a) b)) -> (M (HAdd.hAdd.{max u2 u1, max u2 u1, max u2 u1} (Finsupp.{u1, u2} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))) (Finsupp.{u1, u2} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))) (Finsupp.{u1, u2} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))) (instHAdd.{max u2 u1} (Finsupp.{u1, u2} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))) (Finsupp.add.{u1, u2} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (AddMonoid.toAddZeroClass.{u2} R (AddMonoidWithOne.toAddMonoid.{u2} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u2} R (NonAssocSemiring.toAddCommMonoidWithOne.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))))))) ([mdata let_fun:1 (fun (this : Finsupp.{u1, u2} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))) => this) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (a : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 a) b)]) f))) -> (forall (p : MvPolynomial.{u1, u2} σ R _inst_1) (n : σ), (M p) -> (M (HMul.hMul.{max u2 u1, max u1 u2, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) p (MvPolynomial.X.{u2, u1} R σ _inst_1 n)))) -> (M p)
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.induction_on'' MvPolynomial.induction_on''ₓ'. -/
 /-- Similar to `mv_polynomial.induction_on` but only a yet weaker form of `h_add` is required.-/
 theorem induction_on'' {M : MvPolynomial σ R → Prop} (p : MvPolynomial σ R) (h_C : ∀ a, M (C a))
@@ -724,7 +724,7 @@ theorem induction_on'' {M : MvPolynomial σ R → Prop} (p : MvPolynomial σ R)
 lean 3 declaration is
   forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {M : (MvPolynomial.{u2, u1} σ R _inst_1) -> Prop} (p : MvPolynomial.{u2, u1} σ R _inst_1), (forall (a : R), M (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (fun (_x : RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (MvPolynomial.C.{u1, u2} R σ _inst_1) a)) -> (forall (p : MvPolynomial.{u2, u1} σ R _inst_1) (q : MvPolynomial.{u2, u1} σ R _inst_1), (M p) -> (M q) -> (M (HAdd.hAdd.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (instHAdd.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Distrib.toHasAdd.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))) p q))) -> (forall (p : MvPolynomial.{u2, u1} σ R _inst_1) (n : σ), (M p) -> (M (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Distrib.toHasMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))) p (MvPolynomial.X.{u1, u2} R σ _inst_1 n)))) -> (M p)
 but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] {M : (MvPolynomial.{u1, u2} σ R _inst_1) -> Prop} (p : MvPolynomial.{u1, u2} σ R _inst_1), (forall (a : R), M (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) a)) -> (forall (p : MvPolynomial.{u1, u2} σ R _inst_1) (q : MvPolynomial.{u1, u2} σ R _inst_1), (M p) -> (M q) -> (M (HAdd.hAdd.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (instHAdd.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Distrib.toAdd.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) p q))) -> (forall (p : MvPolynomial.{u1, u2} σ R _inst_1) (n : σ), (M p) -> (M (HMul.hMul.{max u2 u1, max u1 u2, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) p (MvPolynomial.X.{u2, u1} R σ _inst_1 n)))) -> (M p)
+  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] {M : (MvPolynomial.{u1, u2} σ R _inst_1) -> Prop} (p : MvPolynomial.{u1, u2} σ R _inst_1), (forall (a : R), M (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) a)) -> (forall (p : MvPolynomial.{u1, u2} σ R _inst_1) (q : MvPolynomial.{u1, u2} σ R _inst_1), (M p) -> (M q) -> (M (HAdd.hAdd.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (instHAdd.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Distrib.toAdd.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) p q))) -> (forall (p : MvPolynomial.{u1, u2} σ R _inst_1) (n : σ), (M p) -> (M (HMul.hMul.{max u2 u1, max u1 u2, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) p (MvPolynomial.X.{u2, u1} R σ _inst_1 n)))) -> (M p)
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.induction_on MvPolynomial.induction_onₓ'. -/
 /-- Analog of `polynomial.induction_on`.-/
 @[recursor 5]
@@ -737,7 +737,7 @@ theorem induction_on {M : MvPolynomial σ R → Prop} (p : MvPolynomial σ R) (h
 lean 3 declaration is
   forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {A : Type.{u3}} [_inst_3 : Semiring.{u3} A] {f : RingHom.{max u2 u1, u3} (MvPolynomial.{u2, u1} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} A _inst_3)} {g : RingHom.{max u2 u1, u3} (MvPolynomial.{u2, u1} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} A _inst_3)}, (forall (r : R), Eq.{succ u3} A (coeFn.{max (succ (max u2 u1)) (succ u3), max (succ (max u2 u1)) (succ u3)} (RingHom.{max u2 u1, u3} (MvPolynomial.{u2, u1} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} A _inst_3)) (fun (_x : RingHom.{max u2 u1, u3} (MvPolynomial.{u2, u1} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} A _inst_3)) => (MvPolynomial.{u2, u1} σ R _inst_1) -> A) (RingHom.hasCoeToFun.{max u2 u1, u3} (MvPolynomial.{u2, u1} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} A _inst_3)) f (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (fun (_x : RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (MvPolynomial.C.{u1, u2} R σ _inst_1) r)) (coeFn.{max (succ (max u2 u1)) (succ u3), max (succ (max u2 u1)) (succ u3)} (RingHom.{max u2 u1, u3} (MvPolynomial.{u2, u1} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} A _inst_3)) (fun (_x : RingHom.{max u2 u1, u3} (MvPolynomial.{u2, u1} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} A _inst_3)) => (MvPolynomial.{u2, u1} σ R _inst_1) -> A) (RingHom.hasCoeToFun.{max u2 u1, u3} (MvPolynomial.{u2, u1} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} A _inst_3)) g (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (fun (_x : RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (MvPolynomial.C.{u1, u2} R σ _inst_1) r))) -> (forall (i : σ), Eq.{succ u3} A (coeFn.{max (succ (max u2 u1)) (succ u3), max (succ (max u2 u1)) (succ u3)} (RingHom.{max u2 u1, u3} (MvPolynomial.{u2, u1} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} A _inst_3)) (fun (_x : RingHom.{max u2 u1, u3} (MvPolynomial.{u2, u1} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} A _inst_3)) => (MvPolynomial.{u2, u1} σ R _inst_1) -> A) (RingHom.hasCoeToFun.{max u2 u1, u3} (MvPolynomial.{u2, u1} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} A _inst_3)) f (MvPolynomial.X.{u1, u2} R σ _inst_1 i)) (coeFn.{max (succ (max u2 u1)) (succ u3), max (succ (max u2 u1)) (succ u3)} (RingHom.{max u2 u1, u3} (MvPolynomial.{u2, u1} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} A _inst_3)) (fun (_x : RingHom.{max u2 u1, u3} (MvPolynomial.{u2, u1} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} A _inst_3)) => (MvPolynomial.{u2, u1} σ R _inst_1) -> A) (RingHom.hasCoeToFun.{max u2 u1, u3} (MvPolynomial.{u2, u1} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} A _inst_3)) g (MvPolynomial.X.{u1, u2} R σ _inst_1 i))) -> (Eq.{max (succ (max u2 u1)) (succ u3)} (RingHom.{max u2 u1, u3} (MvPolynomial.{u2, u1} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} A _inst_3)) f g)
 but is expected to have type
-  forall {R : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u3} R] {A : Type.{u2}} [_inst_3 : Semiring.{u2} A] {f : RingHom.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} A _inst_3)} {g : RingHom.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} A _inst_3)}, (forall (r : R), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u3} σ R _inst_1) => A) (FunLike.coe.{max (succ u1) (succ u3), succ u3, max (succ u1) (succ u3)} (RingHom.{u3, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) R (fun (a : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u3} σ R _inst_1) a) (MulHomClass.toFunLike.{max u1 u3, u3, max u1 u3} (RingHom.{u3, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u3, u3, max u1 u3} (RingHom.{u3, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u3, u3, max u1 u3} (RingHom.{u3, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))))) (MvPolynomial.C.{u3, u1} R σ _inst_1) r)) (FunLike.coe.{max (max (succ u3) (succ u1)) (succ u2), max (succ u3) (succ u1), succ u2} (RingHom.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (MvPolynomial.{u1, u3} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u3} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u3} σ R _inst_1) => A) _x) (MulHomClass.toFunLike.{max (max u3 u1) u2, max u3 u1, u2} (RingHom.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (MvPolynomial.{u1, u3} σ R _inst_1) A (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (NonUnitalRingHomClass.toMulHomClass.{max (max u3 u1) u2, max u3 u1, u2} (RingHom.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (MvPolynomial.{u1, u3} σ R _inst_1) A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (RingHomClass.toNonUnitalRingHomClass.{max (max u3 u1) u2, max u3 u1, u2} (RingHom.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (MvPolynomial.{u1, u3} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} A _inst_3) (RingHom.instRingHomClassRingHom.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} A _inst_3))))) f (FunLike.coe.{max (succ u1) (succ u3), succ u3, max (succ u1) (succ u3)} (RingHom.{u3, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u3} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u3, u3, max u1 u3} (RingHom.{u3, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u3, u3, max u1 u3} (RingHom.{u3, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u3, u3, max u1 u3} (RingHom.{u3, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))))) (MvPolynomial.C.{u3, u1} R σ _inst_1) r)) (FunLike.coe.{max (max (succ u3) (succ u1)) (succ u2), max (succ u3) (succ u1), succ u2} (RingHom.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (MvPolynomial.{u1, u3} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u3} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u3} σ R _inst_1) => A) _x) (MulHomClass.toFunLike.{max (max u3 u1) u2, max u3 u1, u2} (RingHom.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (MvPolynomial.{u1, u3} σ R _inst_1) A (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (NonUnitalRingHomClass.toMulHomClass.{max (max u3 u1) u2, max u3 u1, u2} (RingHom.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (MvPolynomial.{u1, u3} σ R _inst_1) A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (RingHomClass.toNonUnitalRingHomClass.{max (max u3 u1) u2, max u3 u1, u2} (RingHom.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (MvPolynomial.{u1, u3} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} A _inst_3) (RingHom.instRingHomClassRingHom.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} A _inst_3))))) g (FunLike.coe.{max (succ u1) (succ u3), succ u3, max (succ u1) (succ u3)} (RingHom.{u3, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u3} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u3, u3, max u1 u3} (RingHom.{u3, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u3, u3, max u1 u3} (RingHom.{u3, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u3, u3, max u1 u3} (RingHom.{u3, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))))) (MvPolynomial.C.{u3, u1} R σ _inst_1) r))) -> (forall (i : σ), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u3} σ R _inst_1) => A) (MvPolynomial.X.{u3, u1} R σ _inst_1 i)) (FunLike.coe.{max (max (succ u3) (succ u1)) (succ u2), max (succ u3) (succ u1), succ u2} (RingHom.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (MvPolynomial.{u1, u3} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u3} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u3} σ R _inst_1) => A) _x) (MulHomClass.toFunLike.{max (max u3 u1) u2, max u3 u1, u2} (RingHom.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (MvPolynomial.{u1, u3} σ R _inst_1) A (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (NonUnitalRingHomClass.toMulHomClass.{max (max u3 u1) u2, max u3 u1, u2} (RingHom.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (MvPolynomial.{u1, u3} σ R _inst_1) A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (RingHomClass.toNonUnitalRingHomClass.{max (max u3 u1) u2, max u3 u1, u2} (RingHom.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (MvPolynomial.{u1, u3} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} A _inst_3) (RingHom.instRingHomClassRingHom.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} A _inst_3))))) f (MvPolynomial.X.{u3, u1} R σ _inst_1 i)) (FunLike.coe.{max (max (succ u3) (succ u1)) (succ u2), max (succ u3) (succ u1), succ u2} (RingHom.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (MvPolynomial.{u1, u3} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u3} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u3} σ R _inst_1) => A) _x) (MulHomClass.toFunLike.{max (max u3 u1) u2, max u3 u1, u2} (RingHom.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (MvPolynomial.{u1, u3} σ R _inst_1) A (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (NonUnitalRingHomClass.toMulHomClass.{max (max u3 u1) u2, max u3 u1, u2} (RingHom.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (MvPolynomial.{u1, u3} σ R _inst_1) A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (RingHomClass.toNonUnitalRingHomClass.{max (max u3 u1) u2, max u3 u1, u2} (RingHom.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (MvPolynomial.{u1, u3} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} A _inst_3) (RingHom.instRingHomClassRingHom.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} A _inst_3))))) g (MvPolynomial.X.{u3, u1} R σ _inst_1 i))) -> (Eq.{max (max (succ u3) (succ u1)) (succ u2)} (RingHom.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) f g)
+  forall {R : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u3} R] {A : Type.{u2}} [_inst_3 : Semiring.{u2} A] {f : RingHom.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} A _inst_3)} {g : RingHom.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} A _inst_3)}, (forall (r : R), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u3} σ R _inst_1) => A) (FunLike.coe.{max (succ u1) (succ u3), succ u3, max (succ u1) (succ u3)} (RingHom.{u3, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) R (fun (a : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u3} σ R _inst_1) a) (MulHomClass.toFunLike.{max u1 u3, u3, max u1 u3} (RingHom.{u3, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u3, u3, max u1 u3} (RingHom.{u3, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u3, u3, max u1 u3} (RingHom.{u3, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))))) (MvPolynomial.C.{u3, u1} R σ _inst_1) r)) (FunLike.coe.{max (max (succ u3) (succ u1)) (succ u2), max (succ u3) (succ u1), succ u2} (RingHom.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (MvPolynomial.{u1, u3} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u3} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u3} σ R _inst_1) => A) _x) (MulHomClass.toFunLike.{max (max u3 u1) u2, max u3 u1, u2} (RingHom.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (MvPolynomial.{u1, u3} σ R _inst_1) A (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (NonUnitalRingHomClass.toMulHomClass.{max (max u3 u1) u2, max u3 u1, u2} (RingHom.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (MvPolynomial.{u1, u3} σ R _inst_1) A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (RingHomClass.toNonUnitalRingHomClass.{max (max u3 u1) u2, max u3 u1, u2} (RingHom.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (MvPolynomial.{u1, u3} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} A _inst_3) (RingHom.instRingHomClassRingHom.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} A _inst_3))))) f (FunLike.coe.{max (succ u1) (succ u3), succ u3, max (succ u1) (succ u3)} (RingHom.{u3, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u3} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u3, u3, max u1 u3} (RingHom.{u3, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u3, u3, max u1 u3} (RingHom.{u3, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u3, u3, max u1 u3} (RingHom.{u3, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))))) (MvPolynomial.C.{u3, u1} R σ _inst_1) r)) (FunLike.coe.{max (max (succ u3) (succ u1)) (succ u2), max (succ u3) (succ u1), succ u2} (RingHom.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (MvPolynomial.{u1, u3} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u3} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u3} σ R _inst_1) => A) _x) (MulHomClass.toFunLike.{max (max u3 u1) u2, max u3 u1, u2} (RingHom.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (MvPolynomial.{u1, u3} σ R _inst_1) A (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (NonUnitalRingHomClass.toMulHomClass.{max (max u3 u1) u2, max u3 u1, u2} (RingHom.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (MvPolynomial.{u1, u3} σ R _inst_1) A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (RingHomClass.toNonUnitalRingHomClass.{max (max u3 u1) u2, max u3 u1, u2} (RingHom.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (MvPolynomial.{u1, u3} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} A _inst_3) (RingHom.instRingHomClassRingHom.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} A _inst_3))))) g (FunLike.coe.{max (succ u1) (succ u3), succ u3, max (succ u1) (succ u3)} (RingHom.{u3, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u3} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u3, u3, max u1 u3} (RingHom.{u3, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u3, u3, max u1 u3} (RingHom.{u3, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u3, u3, max u1 u3} (RingHom.{u3, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))))) (MvPolynomial.C.{u3, u1} R σ _inst_1) r))) -> (forall (i : σ), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u3} σ R _inst_1) => A) (MvPolynomial.X.{u3, u1} R σ _inst_1 i)) (FunLike.coe.{max (max (succ u3) (succ u1)) (succ u2), max (succ u3) (succ u1), succ u2} (RingHom.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (MvPolynomial.{u1, u3} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u3} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u3} σ R _inst_1) => A) _x) (MulHomClass.toFunLike.{max (max u3 u1) u2, max u3 u1, u2} (RingHom.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (MvPolynomial.{u1, u3} σ R _inst_1) A (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (NonUnitalRingHomClass.toMulHomClass.{max (max u3 u1) u2, max u3 u1, u2} (RingHom.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (MvPolynomial.{u1, u3} σ R _inst_1) A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (RingHomClass.toNonUnitalRingHomClass.{max (max u3 u1) u2, max u3 u1, u2} (RingHom.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (MvPolynomial.{u1, u3} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} A _inst_3) (RingHom.instRingHomClassRingHom.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} A _inst_3))))) f (MvPolynomial.X.{u3, u1} R σ _inst_1 i)) (FunLike.coe.{max (max (succ u3) (succ u1)) (succ u2), max (succ u3) (succ u1), succ u2} (RingHom.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (MvPolynomial.{u1, u3} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u3} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u3} σ R _inst_1) => A) _x) (MulHomClass.toFunLike.{max (max u3 u1) u2, max u3 u1, u2} (RingHom.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (MvPolynomial.{u1, u3} σ R _inst_1) A (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (NonUnitalRingHomClass.toMulHomClass.{max (max u3 u1) u2, max u3 u1, u2} (RingHom.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (MvPolynomial.{u1, u3} σ R _inst_1) A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (RingHomClass.toNonUnitalRingHomClass.{max (max u3 u1) u2, max u3 u1, u2} (RingHom.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (MvPolynomial.{u1, u3} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} A _inst_3) (RingHom.instRingHomClassRingHom.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} A _inst_3))))) g (MvPolynomial.X.{u3, u1} R σ _inst_1 i))) -> (Eq.{max (max (succ u3) (succ u1)) (succ u2)} (RingHom.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) f g)
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.ring_hom_ext MvPolynomial.ringHom_extₓ'. -/
 theorem ringHom_ext {A : Type _} [Semiring A] {f g : MvPolynomial σ R →+* A}
     (hC : ∀ r, f (C r) = g (C r)) (hX : ∀ i, f (X i) = g (X i)) : f = g :=
@@ -750,7 +750,7 @@ theorem ringHom_ext {A : Type _} [Semiring A] {f g : MvPolynomial σ R →+* A}
 lean 3 declaration is
   forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {A : Type.{u3}} [_inst_3 : Semiring.{u3} A] {f : RingHom.{max u2 u1, u3} (MvPolynomial.{u2, u1} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} A _inst_3)} {g : RingHom.{max u2 u1, u3} (MvPolynomial.{u2, u1} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} A _inst_3)}, (Eq.{max (succ u1) (succ u3)} (RingHom.{u1, u3} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} A _inst_3)) (RingHom.comp.{u1, max u2 u1, u3} R (MvPolynomial.{u2, u1} σ R _inst_1) A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} A _inst_3) f (MvPolynomial.C.{u1, u2} R σ _inst_1)) (RingHom.comp.{u1, max u2 u1, u3} R (MvPolynomial.{u2, u1} σ R _inst_1) A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} A _inst_3) g (MvPolynomial.C.{u1, u2} R σ _inst_1))) -> (forall (i : σ), Eq.{succ u3} A (coeFn.{max (succ (max u2 u1)) (succ u3), max (succ (max u2 u1)) (succ u3)} (RingHom.{max u2 u1, u3} (MvPolynomial.{u2, u1} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} A _inst_3)) (fun (_x : RingHom.{max u2 u1, u3} (MvPolynomial.{u2, u1} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} A _inst_3)) => (MvPolynomial.{u2, u1} σ R _inst_1) -> A) (RingHom.hasCoeToFun.{max u2 u1, u3} (MvPolynomial.{u2, u1} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} A _inst_3)) f (MvPolynomial.X.{u1, u2} R σ _inst_1 i)) (coeFn.{max (succ (max u2 u1)) (succ u3), max (succ (max u2 u1)) (succ u3)} (RingHom.{max u2 u1, u3} (MvPolynomial.{u2, u1} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} A _inst_3)) (fun (_x : RingHom.{max u2 u1, u3} (MvPolynomial.{u2, u1} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} A _inst_3)) => (MvPolynomial.{u2, u1} σ R _inst_1) -> A) (RingHom.hasCoeToFun.{max u2 u1, u3} (MvPolynomial.{u2, u1} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} A _inst_3)) g (MvPolynomial.X.{u1, u2} R σ _inst_1 i))) -> (Eq.{max (succ (max u2 u1)) (succ u3)} (RingHom.{max u2 u1, u3} (MvPolynomial.{u2, u1} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} A _inst_3)) f g)
 but is expected to have type
-  forall {R : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u3} R] {A : Type.{u2}} [_inst_3 : Semiring.{u2} A] {f : RingHom.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} A _inst_3)} {g : RingHom.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} A _inst_3)}, (Eq.{max (succ u3) (succ u2)} (RingHom.{u3, u2} R A (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (RingHom.comp.{u3, max u3 u1, u2} R (MvPolynomial.{u1, u3} σ R _inst_1) A (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} A _inst_3) f (MvPolynomial.C.{u3, u1} R σ _inst_1)) (RingHom.comp.{u3, max u3 u1, u2} R (MvPolynomial.{u1, u3} σ R _inst_1) A (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} A _inst_3) g (MvPolynomial.C.{u3, u1} R σ _inst_1))) -> (forall (i : σ), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u3} σ R _inst_1) => A) (MvPolynomial.X.{u3, u1} R σ _inst_1 i)) (FunLike.coe.{max (max (succ u3) (succ u1)) (succ u2), max (succ u3) (succ u1), succ u2} (RingHom.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (MvPolynomial.{u1, u3} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u3} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u3} σ R _inst_1) => A) _x) (MulHomClass.toFunLike.{max (max u3 u1) u2, max u3 u1, u2} (RingHom.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (MvPolynomial.{u1, u3} σ R _inst_1) A (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (NonUnitalRingHomClass.toMulHomClass.{max (max u3 u1) u2, max u3 u1, u2} (RingHom.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (MvPolynomial.{u1, u3} σ R _inst_1) A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (RingHomClass.toNonUnitalRingHomClass.{max (max u3 u1) u2, max u3 u1, u2} (RingHom.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (MvPolynomial.{u1, u3} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} A _inst_3) (RingHom.instRingHomClassRingHom.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} A _inst_3))))) f (MvPolynomial.X.{u3, u1} R σ _inst_1 i)) (FunLike.coe.{max (max (succ u3) (succ u1)) (succ u2), max (succ u3) (succ u1), succ u2} (RingHom.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (MvPolynomial.{u1, u3} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u3} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u3} σ R _inst_1) => A) _x) (MulHomClass.toFunLike.{max (max u3 u1) u2, max u3 u1, u2} (RingHom.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (MvPolynomial.{u1, u3} σ R _inst_1) A (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (NonUnitalRingHomClass.toMulHomClass.{max (max u3 u1) u2, max u3 u1, u2} (RingHom.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (MvPolynomial.{u1, u3} σ R _inst_1) A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (RingHomClass.toNonUnitalRingHomClass.{max (max u3 u1) u2, max u3 u1, u2} (RingHom.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (MvPolynomial.{u1, u3} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} A _inst_3) (RingHom.instRingHomClassRingHom.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} A _inst_3))))) g (MvPolynomial.X.{u3, u1} R σ _inst_1 i))) -> (Eq.{max (max (succ u3) (succ u1)) (succ u2)} (RingHom.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) f g)
+  forall {R : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u3} R] {A : Type.{u2}} [_inst_3 : Semiring.{u2} A] {f : RingHom.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} A _inst_3)} {g : RingHom.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} A _inst_3)}, (Eq.{max (succ u3) (succ u2)} (RingHom.{u3, u2} R A (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (RingHom.comp.{u3, max u3 u1, u2} R (MvPolynomial.{u1, u3} σ R _inst_1) A (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} A _inst_3) f (MvPolynomial.C.{u3, u1} R σ _inst_1)) (RingHom.comp.{u3, max u3 u1, u2} R (MvPolynomial.{u1, u3} σ R _inst_1) A (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} A _inst_3) g (MvPolynomial.C.{u3, u1} R σ _inst_1))) -> (forall (i : σ), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u3} σ R _inst_1) => A) (MvPolynomial.X.{u3, u1} R σ _inst_1 i)) (FunLike.coe.{max (max (succ u3) (succ u1)) (succ u2), max (succ u3) (succ u1), succ u2} (RingHom.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (MvPolynomial.{u1, u3} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u3} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u3} σ R _inst_1) => A) _x) (MulHomClass.toFunLike.{max (max u3 u1) u2, max u3 u1, u2} (RingHom.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (MvPolynomial.{u1, u3} σ R _inst_1) A (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (NonUnitalRingHomClass.toMulHomClass.{max (max u3 u1) u2, max u3 u1, u2} (RingHom.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (MvPolynomial.{u1, u3} σ R _inst_1) A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (RingHomClass.toNonUnitalRingHomClass.{max (max u3 u1) u2, max u3 u1, u2} (RingHom.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (MvPolynomial.{u1, u3} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} A _inst_3) (RingHom.instRingHomClassRingHom.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} A _inst_3))))) f (MvPolynomial.X.{u3, u1} R σ _inst_1 i)) (FunLike.coe.{max (max (succ u3) (succ u1)) (succ u2), max (succ u3) (succ u1), succ u2} (RingHom.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (MvPolynomial.{u1, u3} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u3} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u3} σ R _inst_1) => A) _x) (MulHomClass.toFunLike.{max (max u3 u1) u2, max u3 u1, u2} (RingHom.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (MvPolynomial.{u1, u3} σ R _inst_1) A (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (NonUnitalRingHomClass.toMulHomClass.{max (max u3 u1) u2, max u3 u1, u2} (RingHom.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (MvPolynomial.{u1, u3} σ R _inst_1) A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (RingHomClass.toNonUnitalRingHomClass.{max (max u3 u1) u2, max u3 u1, u2} (RingHom.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (MvPolynomial.{u1, u3} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} A _inst_3) (RingHom.instRingHomClassRingHom.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} A _inst_3))))) g (MvPolynomial.X.{u3, u1} R σ _inst_1 i))) -> (Eq.{max (max (succ u3) (succ u1)) (succ u2)} (RingHom.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) f g)
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.ring_hom_ext' MvPolynomial.ringHom_ext'ₓ'. -/
 /-- See note [partially-applied ext lemmas]. -/
 @[ext]
@@ -763,7 +763,7 @@ theorem ringHom_ext' {A : Type _} [Semiring A] {f g : MvPolynomial σ R →+* A}
 lean 3 declaration is
   forall {R : Type.{u1}} {S₂ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_3 : Semiring.{u2} S₂] (f : RingHom.{max u3 u1, u2} (MvPolynomial.{u3, u1} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₂ _inst_3)) (g : RingHom.{max u3 u1, u2} (MvPolynomial.{u3, u1} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₂ _inst_3)), (Eq.{max (succ u1) (succ u2)} (RingHom.{u1, u2} R S₂ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₂ _inst_3)) (RingHom.comp.{u1, max u3 u1, u2} R (MvPolynomial.{u3, u1} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₂ _inst_3) f (MvPolynomial.C.{u1, u3} R σ _inst_1)) (RingHom.comp.{u1, max u3 u1, u2} R (MvPolynomial.{u3, u1} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₂ _inst_3) g (MvPolynomial.C.{u1, u3} R σ _inst_1))) -> (forall (n : σ), Eq.{succ u2} S₂ (coeFn.{max (succ (max u3 u1)) (succ u2), max (succ (max u3 u1)) (succ u2)} (RingHom.{max u3 u1, u2} (MvPolynomial.{u3, u1} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₂ _inst_3)) (fun (_x : RingHom.{max u3 u1, u2} (MvPolynomial.{u3, u1} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₂ _inst_3)) => (MvPolynomial.{u3, u1} σ R _inst_1) -> S₂) (RingHom.hasCoeToFun.{max u3 u1, u2} (MvPolynomial.{u3, u1} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₂ _inst_3)) f (MvPolynomial.X.{u1, u3} R σ _inst_1 n)) (coeFn.{max (succ (max u3 u1)) (succ u2), max (succ (max u3 u1)) (succ u2)} (RingHom.{max u3 u1, u2} (MvPolynomial.{u3, u1} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₂ _inst_3)) (fun (_x : RingHom.{max u3 u1, u2} (MvPolynomial.{u3, u1} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₂ _inst_3)) => (MvPolynomial.{u3, u1} σ R _inst_1) -> S₂) (RingHom.hasCoeToFun.{max u3 u1, u2} (MvPolynomial.{u3, u1} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₂ _inst_3)) g (MvPolynomial.X.{u1, u3} R σ _inst_1 n))) -> (forall (p : MvPolynomial.{u3, u1} σ R _inst_1), Eq.{succ u2} S₂ (coeFn.{max (succ (max u3 u1)) (succ u2), max (succ (max u3 u1)) (succ u2)} (RingHom.{max u3 u1, u2} (MvPolynomial.{u3, u1} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₂ _inst_3)) (fun (_x : RingHom.{max u3 u1, u2} (MvPolynomial.{u3, u1} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₂ _inst_3)) => (MvPolynomial.{u3, u1} σ R _inst_1) -> S₂) (RingHom.hasCoeToFun.{max u3 u1, u2} (MvPolynomial.{u3, u1} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₂ _inst_3)) f p) (coeFn.{max (succ (max u3 u1)) (succ u2), max (succ (max u3 u1)) (succ u2)} (RingHom.{max u3 u1, u2} (MvPolynomial.{u3, u1} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₂ _inst_3)) (fun (_x : RingHom.{max u3 u1, u2} (MvPolynomial.{u3, u1} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₂ _inst_3)) => (MvPolynomial.{u3, u1} σ R _inst_1) -> S₂) (RingHom.hasCoeToFun.{max u3 u1, u2} (MvPolynomial.{u3, u1} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₂ _inst_3)) g p))
 but is expected to have type
-  forall {R : Type.{u2}} {S₂ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_3 : Semiring.{u3} S₂] (f : RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ _inst_3)) (g : RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ _inst_3)), (Eq.{max (succ u2) (succ u3)} (RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ _inst_3)) (RingHom.comp.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ _inst_3) f (MvPolynomial.C.{u2, u1} R σ _inst_1)) (RingHom.comp.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ _inst_3) g (MvPolynomial.C.{u2, u1} R σ _inst_1))) -> (forall (n : σ), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => S₂) (MvPolynomial.X.{u2, u1} R σ _inst_1 n)) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u2) (succ u1), succ u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ _inst_3)) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => S₂) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ _inst_3)) (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u3} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ _inst_3))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ _inst_3)) (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ _inst_3)) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ _inst_3)) (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ _inst_3) (RingHom.instRingHomClassRingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ _inst_3))))) f (MvPolynomial.X.{u2, u1} R σ _inst_1 n)) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u2) (succ u1), succ u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ _inst_3)) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => S₂) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ _inst_3)) (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u3} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ _inst_3))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ _inst_3)) (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ _inst_3)) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ _inst_3)) (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ _inst_3) (RingHom.instRingHomClassRingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ _inst_3))))) g (MvPolynomial.X.{u2, u1} R σ _inst_1 n))) -> (forall (p : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => S₂) p) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u2) (succ u1), succ u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ _inst_3)) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => S₂) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ _inst_3)) (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u3} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ _inst_3))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ _inst_3)) (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ _inst_3)) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ _inst_3)) (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ _inst_3) (RingHom.instRingHomClassRingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ _inst_3))))) f p) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u2) (succ u1), succ u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ _inst_3)) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => S₂) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ _inst_3)) (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u3} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ _inst_3))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ _inst_3)) (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ _inst_3)) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ _inst_3)) (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ _inst_3) (RingHom.instRingHomClassRingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ _inst_3))))) g p))
+  forall {R : Type.{u2}} {S₂ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_3 : Semiring.{u3} S₂] (f : RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ _inst_3)) (g : RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ _inst_3)), (Eq.{max (succ u2) (succ u3)} (RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ _inst_3)) (RingHom.comp.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ _inst_3) f (MvPolynomial.C.{u2, u1} R σ _inst_1)) (RingHom.comp.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ _inst_3) g (MvPolynomial.C.{u2, u1} R σ _inst_1))) -> (forall (n : σ), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => S₂) (MvPolynomial.X.{u2, u1} R σ _inst_1 n)) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u2) (succ u1), succ u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ _inst_3)) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => S₂) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ _inst_3)) (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u3} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ _inst_3))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ _inst_3)) (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ _inst_3)) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ _inst_3)) (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ _inst_3) (RingHom.instRingHomClassRingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ _inst_3))))) f (MvPolynomial.X.{u2, u1} R σ _inst_1 n)) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u2) (succ u1), succ u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ _inst_3)) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => S₂) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ _inst_3)) (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u3} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ _inst_3))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ _inst_3)) (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ _inst_3)) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ _inst_3)) (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ _inst_3) (RingHom.instRingHomClassRingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ _inst_3))))) g (MvPolynomial.X.{u2, u1} R σ _inst_1 n))) -> (forall (p : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => S₂) p) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u2) (succ u1), succ u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ _inst_3)) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => S₂) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ _inst_3)) (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u3} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ _inst_3))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ _inst_3)) (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ _inst_3)) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ _inst_3)) (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ _inst_3) (RingHom.instRingHomClassRingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ _inst_3))))) f p) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u2) (succ u1), succ u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ _inst_3)) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => S₂) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ _inst_3)) (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u3} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ _inst_3))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ _inst_3)) (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ _inst_3)) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ _inst_3)) (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ _inst_3) (RingHom.instRingHomClassRingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ _inst_3))))) g p))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.hom_eq_hom MvPolynomial.hom_eq_homₓ'. -/
 theorem hom_eq_hom [Semiring S₂] (f g : MvPolynomial σ R →+* S₂) (hC : f.comp C = g.comp C)
     (hX : ∀ n : σ, f (X n) = g (X n)) (p : MvPolynomial σ R) : f p = g p :=
@@ -774,7 +774,7 @@ theorem hom_eq_hom [Semiring S₂] (f g : MvPolynomial σ R →+* S₂) (hC : f.
 lean 3 declaration is
   forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] (f : RingHom.{max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))), (Eq.{max (succ u1) (succ (max u2 u1))} (RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (RingHom.comp.{u1, max u2 u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) f (MvPolynomial.C.{u1, u2} R σ _inst_1)) (MvPolynomial.C.{u1, u2} R σ _inst_1)) -> (forall (n : σ), Eq.{max (succ u2) (succ u1)} (MvPolynomial.{u2, u1} σ R _inst_1) (coeFn.{succ (max u2 u1), succ (max u2 u1)} (RingHom.{max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (fun (_x : RingHom.{max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) => (MvPolynomial.{u2, u1} σ R _inst_1) -> (MvPolynomial.{u2, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) f (MvPolynomial.X.{u1, u2} R σ _inst_1 n)) (MvPolynomial.X.{u1, u2} R σ _inst_1 n)) -> (forall (p : MvPolynomial.{u2, u1} σ R _inst_1), Eq.{max (succ u2) (succ u1)} (MvPolynomial.{u2, u1} σ R _inst_1) (coeFn.{succ (max u2 u1), succ (max u2 u1)} (RingHom.{max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (fun (_x : RingHom.{max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) => (MvPolynomial.{u2, u1} σ R _inst_1) -> (MvPolynomial.{u2, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) f p) p)
 but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] (f : RingHom.{max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))), (Eq.{max (succ u2) (succ u1)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHom.comp.{u2, max u2 u1, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) f (MvPolynomial.C.{u2, u1} R σ _inst_1)) (MvPolynomial.C.{u2, u1} R σ _inst_1)) -> (forall (n : σ), Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.X.{u2, u1} R σ _inst_1 n)) (FunLike.coe.{max (succ u2) (succ u1), max (succ u2) (succ u1), max (succ u2) (succ u1)} (RingHom.{max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u2 u1, max u2 u1, max u2 u1} (RingHom.{max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, max u2 u1, max u2 u1} (RingHom.{max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, max u2 u1, max u2 u1} (RingHom.{max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) f (MvPolynomial.X.{u2, u1} R σ _inst_1 n)) (MvPolynomial.X.{u2, u1} R σ _inst_1 n)) -> (forall (p : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u2} σ R _inst_1) p) (FunLike.coe.{max (succ u2) (succ u1), max (succ u2) (succ u1), max (succ u2) (succ u1)} (RingHom.{max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u2 u1, max u2 u1, max u2 u1} (RingHom.{max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, max u2 u1, max u2 u1} (RingHom.{max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, max u2 u1, max u2 u1} (RingHom.{max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) f p) p)
+  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] (f : RingHom.{max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))), (Eq.{max (succ u2) (succ u1)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHom.comp.{u2, max u2 u1, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) f (MvPolynomial.C.{u2, u1} R σ _inst_1)) (MvPolynomial.C.{u2, u1} R σ _inst_1)) -> (forall (n : σ), Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.X.{u2, u1} R σ _inst_1 n)) (FunLike.coe.{max (succ u2) (succ u1), max (succ u2) (succ u1), max (succ u2) (succ u1)} (RingHom.{max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u2 u1, max u2 u1, max u2 u1} (RingHom.{max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, max u2 u1, max u2 u1} (RingHom.{max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, max u2 u1, max u2 u1} (RingHom.{max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) f (MvPolynomial.X.{u2, u1} R σ _inst_1 n)) (MvPolynomial.X.{u2, u1} R σ _inst_1 n)) -> (forall (p : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u2} σ R _inst_1) p) (FunLike.coe.{max (succ u2) (succ u1), max (succ u2) (succ u1), max (succ u2) (succ u1)} (RingHom.{max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u2 u1, max u2 u1, max u2 u1} (RingHom.{max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, max u2 u1, max u2 u1} (RingHom.{max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, max u2 u1, max u2 u1} (RingHom.{max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) f p) p)
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.is_id MvPolynomial.is_idₓ'. -/
 theorem is_id (f : MvPolynomial σ R →+* MvPolynomial σ R) (hC : f.comp C = C)
     (hX : ∀ n : σ, f (X n) = X n) (p : MvPolynomial σ R) : f p = p :=
@@ -813,7 +813,7 @@ theorem algHom_ext {A : Type _} [Semiring A] [Algebra R A] {f g : MvPolynomial 
 lean 3 declaration is
   forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] (f : AlgHom.{u1, max u2 u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1))) (r : R), Eq.{max (succ u2) (succ u1)} (MvPolynomial.{u2, u1} σ R _inst_1) (coeFn.{succ (max u2 u1), succ (max u2 u1)} (AlgHom.{u1, max u2 u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1))) (fun (_x : AlgHom.{u1, max u2 u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1))) => (MvPolynomial.{u2, u1} σ R _inst_1) -> (MvPolynomial.{u2, u1} σ R _inst_1)) ([anonymous].{u1, max u2 u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1))) f (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (fun (_x : RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (MvPolynomial.C.{u1, u2} R σ _inst_1) r)) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (fun (_x : RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (MvPolynomial.C.{u1, u2} R σ _inst_1) r)
 but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] (f : AlgHom.{u2, max u2 u1, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) (r : R), Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u2} σ R _inst_1) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (a : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) r)) (FunLike.coe.{max (succ u2) (succ u1), max (succ u2) (succ u1), max (succ u2) (succ u1)} (AlgHom.{u2, max u2 u1, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (SMulHomClass.toFunLike.{max u2 u1, u2, max u2 u1, max u2 u1} (AlgHom.{u2, max u2 u1, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (SMulZeroClass.toSMul.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (AddMonoid.toZero.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (DistribSMul.toSMulZeroClass.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (DistribMulAction.toDistribSMul.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (Module.toDistribMulAction.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))))))) (SMulZeroClass.toSMul.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (AddMonoid.toZero.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (DistribSMul.toSMulZeroClass.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (DistribMulAction.toDistribSMul.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (Module.toDistribMulAction.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))))))) (DistribMulActionHomClass.toSMulHomClass.{max u2 u1, u2, max u2 u1, max u2 u1} (AlgHom.{u2, max u2 u1, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (AddCommMonoid.toAddMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (Module.toDistribMulAction.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (Module.toDistribMulAction.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max u2 u1, u2, max u2 u1, max u2 u1} (AlgHom.{u2, max u2 u1, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (Module.toDistribMulAction.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (Module.toDistribMulAction.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u2, max u2 u1, max u2 u1, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (AlgHom.{u2, max u2 u1, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) (AlgHom.algHomClass.{u2, max u2 u1, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))))))) f (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) r)) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) r)
+  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] (f : AlgHom.{u2, max u2 u1, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) (r : R), Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u2} σ R _inst_1) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (a : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) r)) (FunLike.coe.{max (succ u2) (succ u1), max (succ u2) (succ u1), max (succ u2) (succ u1)} (AlgHom.{u2, max u2 u1, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (SMulHomClass.toFunLike.{max u2 u1, u2, max u2 u1, max u2 u1} (AlgHom.{u2, max u2 u1, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (SMulZeroClass.toSMul.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (AddMonoid.toZero.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (DistribSMul.toSMulZeroClass.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (DistribMulAction.toDistribSMul.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (Module.toDistribMulAction.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))))))) (SMulZeroClass.toSMul.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (AddMonoid.toZero.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (DistribSMul.toSMulZeroClass.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (DistribMulAction.toDistribSMul.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (Module.toDistribMulAction.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))))))) (DistribMulActionHomClass.toSMulHomClass.{max u2 u1, u2, max u2 u1, max u2 u1} (AlgHom.{u2, max u2 u1, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (AddCommMonoid.toAddMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (Module.toDistribMulAction.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (Module.toDistribMulAction.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max u2 u1, u2, max u2 u1, max u2 u1} (AlgHom.{u2, max u2 u1, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (Module.toDistribMulAction.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (Module.toDistribMulAction.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u2, max u2 u1, max u2 u1, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (AlgHom.{u2, max u2 u1, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) (AlgHom.algHomClass.{u2, max u2 u1, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))))))) f (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) r)) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) r)
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.alg_hom_C MvPolynomial.algHom_Cₓ'. -/
 @[simp]
 theorem algHom_C (f : MvPolynomial σ R →ₐ[R] MvPolynomial σ R) (r : R) : f (C r) = C r :=
@@ -1120,7 +1120,7 @@ theorem coeff_monomial [DecidableEq σ] (m n) (a) :
 lean 3 declaration is
   forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_3 : DecidableEq.{succ u2} σ] (m : Finsupp.{u2, 0} σ Nat Nat.hasZero) (a : R), Eq.{succ u1} R (MvPolynomial.coeff.{u1, u2} R σ _inst_1 m (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (fun (_x : RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (MvPolynomial.C.{u1, u2} R σ _inst_1) a)) (ite.{succ u1} R (Eq.{succ u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (OfNat.ofNat.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) 0 (OfNat.mk.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) 0 (Zero.zero.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.zero.{u2, 0} σ Nat Nat.hasZero)))) m) (Finsupp.decidableEq.{u2, 0} σ Nat Nat.hasZero (fun (a : σ) (b : σ) => _inst_3 a b) (fun (a : Nat) (b : Nat) => Nat.decidableEq a b) (OfNat.ofNat.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) 0 (OfNat.mk.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) 0 (Zero.zero.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.zero.{u2, 0} σ Nat Nat.hasZero)))) m) a (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))))))
 but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_3 : DecidableEq.{succ u1} σ] (m : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (a : R), Eq.{succ u2} R (MvPolynomial.coeff.{u2, u1} R σ _inst_1 m (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) a)) (ite.{succ u2} R (Eq.{succ u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (OfNat.ofNat.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) 0 (Zero.toOfNat0.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.zero.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)))) m) (Finsupp.decidableEq.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) (fun (a : σ) (b : σ) => _inst_3 a b) (fun (a : Nat) (b : Nat) => instDecidableEqNat a b) (OfNat.ofNat.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) 0 (Zero.toOfNat0.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.zero.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)))) m) a (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1)))))
+  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_3 : DecidableEq.{succ u1} σ] (m : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (a : R), Eq.{succ u2} R (MvPolynomial.coeff.{u2, u1} R σ _inst_1 m (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) a)) (ite.{succ u2} R (Eq.{succ u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (OfNat.ofNat.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) 0 (Zero.toOfNat0.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.zero.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)))) m) (Finsupp.decidableEq.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) (fun (a : σ) (b : σ) => _inst_3 a b) (fun (a : Nat) (b : Nat) => instDecidableEqNat a b) (OfNat.ofNat.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) 0 (Zero.toOfNat0.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.zero.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)))) m) a (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1)))))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.coeff_C MvPolynomial.coeff_Cₓ'. -/
 @[simp]
 theorem coeff_C [DecidableEq σ] (m) (a) :
@@ -1142,7 +1142,7 @@ theorem coeff_one [DecidableEq σ] (m) : coeff m (1 : MvPolynomial σ R) = if 0
 lean 3 declaration is
   forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] (a : R), Eq.{succ u1} R (MvPolynomial.coeff.{u1, u2} R σ _inst_1 (OfNat.ofNat.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) 0 (OfNat.mk.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) 0 (Zero.zero.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.zero.{u2, 0} σ Nat Nat.hasZero)))) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (fun (_x : RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (MvPolynomial.C.{u1, u2} R σ _inst_1) a)) a
 but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] (a : R), Eq.{succ u2} R (MvPolynomial.coeff.{u2, u1} R σ _inst_1 (OfNat.ofNat.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) 0 (Zero.toOfNat0.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.zero.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)))) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) a)) a
+  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] (a : R), Eq.{succ u2} R (MvPolynomial.coeff.{u2, u1} R σ _inst_1 (OfNat.ofNat.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) 0 (Zero.toOfNat0.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.zero.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)))) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) a)) a
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.coeff_zero_C MvPolynomial.coeff_zero_Cₓ'. -/
 @[simp]
 theorem coeff_zero_C (a) : coeff 0 (C a : MvPolynomial σ R) = a :=
@@ -1201,7 +1201,7 @@ theorem coeff_X (i : σ) : coeff (single i 1) (X i : MvPolynomial σ R) = 1 := b
 lean 3 declaration is
   forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] (m : Finsupp.{u2, 0} σ Nat Nat.hasZero) (a : R) (p : MvPolynomial.{u2, u1} σ R _inst_1), Eq.{succ u1} R (MvPolynomial.coeff.{u1, u2} R σ _inst_1 m (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Distrib.toHasMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (fun (_x : RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (MvPolynomial.C.{u1, u2} R σ _inst_1) a) p)) (HMul.hMul.{u1, u1, u1} R R R (instHMul.{u1} R (Distrib.toHasMul.{u1} R (NonUnitalNonAssocSemiring.toDistrib.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))) a (MvPolynomial.coeff.{u1, u2} R σ _inst_1 m p))
 but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] (m : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (a : R) (p : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{succ u2} R (MvPolynomial.coeff.{u2, u1} R σ _inst_1 m (HMul.hMul.{max u2 u1, max u2 u1, max u1 u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (instHMul.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (Semiring.toNonAssocSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (CommSemiring.toSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) a) p)) (HMul.hMul.{u2, u2, u2} R R R (instHMul.{u2} R (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) a (MvPolynomial.coeff.{u2, u1} R σ _inst_1 m p))
+  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] (m : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (a : R) (p : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{succ u2} R (MvPolynomial.coeff.{u2, u1} R σ _inst_1 m (HMul.hMul.{max u2 u1, max u2 u1, max u1 u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (instHMul.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (Semiring.toNonAssocSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (CommSemiring.toSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) a) p)) (HMul.hMul.{u2, u2, u2} R R R (instHMul.{u2} R (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) a (MvPolynomial.coeff.{u2, u1} R σ _inst_1 m p))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.coeff_C_mul MvPolynomial.coeff_C_mulₓ'. -/
 @[simp]
 theorem coeff_C_mul (m) (a : R) (p : MvPolynomial σ R) : coeff m (C a * p) = a * coeff m p := by
@@ -1456,7 +1456,7 @@ theorem exists_coeff_ne_zero {p : MvPolynomial σ R} (h : p ≠ 0) : ∃ d, coef
 lean 3 declaration is
   forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] (r : R) (φ : MvPolynomial.{u2, u1} σ R _inst_1), Iff (Dvd.Dvd.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (semigroupDvd.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (SemigroupWithZero.toSemigroup.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalSemiring.toSemigroupWithZero.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalCommSemiring.toNonUnitalSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toNonUnitalCommSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))))) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (fun (_x : RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (MvPolynomial.C.{u1, u2} R σ _inst_1) r) φ) (forall (i : Finsupp.{u2, 0} σ Nat Nat.hasZero), Dvd.Dvd.{u1} R (semigroupDvd.{u1} R (SemigroupWithZero.toSemigroup.{u1} R (NonUnitalSemiring.toSemigroupWithZero.{u1} R (NonUnitalCommSemiring.toNonUnitalSemiring.{u1} R (CommSemiring.toNonUnitalCommSemiring.{u1} R _inst_1))))) r (MvPolynomial.coeff.{u1, u2} R σ _inst_1 i φ))
 but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] (r : R) (φ : MvPolynomial.{u1, u2} σ R _inst_1), Iff (Dvd.dvd.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) r) (semigroupDvd.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) r) (SemigroupWithZero.toSemigroup.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) r) (NonUnitalSemiring.toSemigroupWithZero.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) r) (NonUnitalCommSemiring.toNonUnitalSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) r) (CommSemiring.toNonUnitalCommSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) r) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) r) φ) (forall (i : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)), Dvd.dvd.{u2} R (semigroupDvd.{u2} R (SemigroupWithZero.toSemigroup.{u2} R (NonUnitalSemiring.toSemigroupWithZero.{u2} R (NonUnitalCommSemiring.toNonUnitalSemiring.{u2} R (CommSemiring.toNonUnitalCommSemiring.{u2} R _inst_1))))) r (MvPolynomial.coeff.{u2, u1} R σ _inst_1 i φ))
+  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] (r : R) (φ : MvPolynomial.{u1, u2} σ R _inst_1), Iff (Dvd.dvd.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) r) (semigroupDvd.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) r) (SemigroupWithZero.toSemigroup.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) r) (NonUnitalSemiring.toSemigroupWithZero.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) r) (NonUnitalCommSemiring.toNonUnitalSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) r) (CommSemiring.toNonUnitalCommSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) r) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) r) φ) (forall (i : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)), Dvd.dvd.{u2} R (semigroupDvd.{u2} R (SemigroupWithZero.toSemigroup.{u2} R (NonUnitalSemiring.toSemigroupWithZero.{u2} R (NonUnitalCommSemiring.toNonUnitalSemiring.{u2} R (CommSemiring.toNonUnitalCommSemiring.{u2} R _inst_1))))) r (MvPolynomial.coeff.{u2, u1} R σ _inst_1 i φ))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.C_dvd_iff_dvd_coeff MvPolynomial.C_dvd_iff_dvd_coeffₓ'. -/
 theorem C_dvd_iff_dvd_coeff (r : R) (φ : MvPolynomial σ R) : C r ∣ φ ↔ ∀ i, r ∣ φ.coeff i :=
   by
@@ -1501,7 +1501,7 @@ def constantCoeff : MvPolynomial σ R →+* R
 lean 3 declaration is
   forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R], Eq.{max (succ u2) (succ u1)} ((fun (_x : RingHom.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) => (MvPolynomial.{u2, u1} σ R _inst_1) -> R) (MvPolynomial.constantCoeff.{u1, u2} R σ _inst_1)) (coeFn.{max (succ (max u2 u1)) (succ u1), max (succ (max u2 u1)) (succ u1)} (RingHom.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (fun (_x : RingHom.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) => (MvPolynomial.{u2, u1} σ R _inst_1) -> R) (RingHom.hasCoeToFun.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.constantCoeff.{u1, u2} R σ _inst_1)) (MvPolynomial.coeff.{u1, u2} R σ _inst_1 (OfNat.ofNat.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) 0 (OfNat.mk.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) 0 (Zero.zero.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.zero.{u2, 0} σ Nat Nat.hasZero)))))
 but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R], Eq.{max (succ u2) (succ u1)} (forall (a : MvPolynomial.{u1, u2} σ R _inst_1), (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) a) (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), succ u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) _x) (MulHomClass.toFunLike.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (RingHom.instRingHomClassRingHom.{max u1 u2, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))))) (MvPolynomial.constantCoeff.{u2, u1} R σ _inst_1)) (MvPolynomial.coeff.{u2, u1} R σ _inst_1 (OfNat.ofNat.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) 0 (Zero.toOfNat0.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.zero.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)))))
+  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R], Eq.{max (succ u2) (succ u1)} (forall (a : MvPolynomial.{u1, u2} σ R _inst_1), (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) a) (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), succ u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) _x) (MulHomClass.toFunLike.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (RingHom.instRingHomClassRingHom.{max u1 u2, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))))) (MvPolynomial.constantCoeff.{u2, u1} R σ _inst_1)) (MvPolynomial.coeff.{u2, u1} R σ _inst_1 (OfNat.ofNat.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) 0 (Zero.toOfNat0.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.zero.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)))))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.constant_coeff_eq MvPolynomial.constantCoeff_eqₓ'. -/
 theorem constantCoeff_eq : (constantCoeff : MvPolynomial σ R → R) = coeff 0 :=
   rfl
@@ -1513,7 +1513,7 @@ variable (σ)
 lean 3 declaration is
   forall {R : Type.{u1}} (σ : Type.{u2}) [_inst_1 : CommSemiring.{u1} R] (r : R), Eq.{succ u1} R (coeFn.{max (succ (max u2 u1)) (succ u1), max (succ (max u2 u1)) (succ u1)} (RingHom.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (fun (_x : RingHom.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) => (MvPolynomial.{u2, u1} σ R _inst_1) -> R) (RingHom.hasCoeToFun.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.constantCoeff.{u1, u2} R σ _inst_1) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (fun (_x : RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (MvPolynomial.C.{u1, u2} R σ _inst_1) r)) r
 but is expected to have type
-  forall {R : Type.{u2}} (σ : Type.{u1}) [_inst_1 : CommSemiring.{u2} R] (r : R), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (a : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) r)) (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), succ u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) _x) (MulHomClass.toFunLike.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (RingHom.instRingHomClassRingHom.{max u1 u2, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))))) (MvPolynomial.constantCoeff.{u2, u1} R σ _inst_1) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) r)) r
+  forall {R : Type.{u2}} (σ : Type.{u1}) [_inst_1 : CommSemiring.{u2} R] (r : R), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (a : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) r)) (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), succ u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) _x) (MulHomClass.toFunLike.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (RingHom.instRingHomClassRingHom.{max u1 u2, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))))) (MvPolynomial.constantCoeff.{u2, u1} R σ _inst_1) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) r)) r
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.constant_coeff_C MvPolynomial.constantCoeff_Cₓ'. -/
 @[simp]
 theorem constantCoeff_C (r : R) : constantCoeff (C r : MvPolynomial σ R) = r := by
@@ -1528,7 +1528,7 @@ variable (R)
 lean 3 declaration is
   forall (R : Type.{u1}) {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] (i : σ), Eq.{succ u1} R (coeFn.{max (succ (max u2 u1)) (succ u1), max (succ (max u2 u1)) (succ u1)} (RingHom.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (fun (_x : RingHom.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) => (MvPolynomial.{u2, u1} σ R _inst_1) -> R) (RingHom.hasCoeToFun.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.constantCoeff.{u1, u2} R σ _inst_1) (MvPolynomial.X.{u1, u2} R σ _inst_1 i)) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))))))
 but is expected to have type
-  forall (R : Type.{u2}) {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] (i : σ), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) (MvPolynomial.X.{u2, u1} R σ _inst_1 i)) (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), succ u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) _x) (MulHomClass.toFunLike.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (RingHom.instRingHomClassRingHom.{max u1 u2, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))))) (MvPolynomial.constantCoeff.{u2, u1} R σ _inst_1) (MvPolynomial.X.{u2, u1} R σ _inst_1 i)) (OfNat.ofNat.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) (MvPolynomial.X.{u2, u1} R σ _inst_1 i)) 0 (Zero.toOfNat0.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) (MvPolynomial.X.{u2, u1} R σ _inst_1 i)) (CommMonoidWithZero.toZero.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) (MvPolynomial.X.{u2, u1} R σ _inst_1 i)) (CommSemiring.toCommMonoidWithZero.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) (MvPolynomial.X.{u2, u1} R σ _inst_1 i)) _inst_1))))
+  forall (R : Type.{u2}) {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] (i : σ), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) (MvPolynomial.X.{u2, u1} R σ _inst_1 i)) (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), succ u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) _x) (MulHomClass.toFunLike.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (RingHom.instRingHomClassRingHom.{max u1 u2, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))))) (MvPolynomial.constantCoeff.{u2, u1} R σ _inst_1) (MvPolynomial.X.{u2, u1} R σ _inst_1 i)) (OfNat.ofNat.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) (MvPolynomial.X.{u2, u1} R σ _inst_1 i)) 0 (Zero.toOfNat0.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) (MvPolynomial.X.{u2, u1} R σ _inst_1 i)) (CommMonoidWithZero.toZero.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) (MvPolynomial.X.{u2, u1} R σ _inst_1 i)) (CommSemiring.toCommMonoidWithZero.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) (MvPolynomial.X.{u2, u1} R σ _inst_1 i)) _inst_1))))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.constant_coeff_X MvPolynomial.constantCoeff_Xₓ'. -/
 @[simp]
 theorem constantCoeff_X (i : σ) : constantCoeff (X i : MvPolynomial σ R) = 0 := by
@@ -1541,7 +1541,7 @@ variable {R}
 lean 3 declaration is
   forall {S₁ : Type.{u1}} {σ : Type.{u2}} [_inst_2 : CommSemiring.{u1} S₁] {R : Type.{u3}} [_inst_3 : SMulZeroClass.{u3, u1} R S₁ (MulZeroClass.toHasZero.{u1} S₁ (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} S₁ (Semiring.toNonAssocSemiring.{u1} S₁ (CommSemiring.toSemiring.{u1} S₁ _inst_2)))))] (a : R) (f : MvPolynomial.{u2, u1} σ S₁ _inst_2), Eq.{succ u1} S₁ (coeFn.{max (succ (max u2 u1)) (succ u1), max (succ (max u2 u1)) (succ u1)} (RingHom.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u1, u2} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u1} S₁ (CommSemiring.toSemiring.{u1} S₁ _inst_2))) (fun (_x : RingHom.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u1, u2} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u1} S₁ (CommSemiring.toSemiring.{u1} S₁ _inst_2))) => (MvPolynomial.{u2, u1} σ S₁ _inst_2) -> S₁) (RingHom.hasCoeToFun.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u1, u2} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u1} S₁ (CommSemiring.toSemiring.{u1} S₁ _inst_2))) (MvPolynomial.constantCoeff.{u1, u2} S₁ σ _inst_2) (SMul.smul.{u3, max u2 u1} R (MvPolynomial.{u2, u1} σ S₁ _inst_2) (SMulZeroClass.toHasSmul.{u3, max u2 u1} R (MvPolynomial.{u2, u1} σ S₁ _inst_2) (MulZeroClass.toHasZero.{max u2 u1} (MvPolynomial.{u2, u1} σ S₁ _inst_2) (NonUnitalNonAssocSemiring.toMulZeroClass.{max u2 u1} (MvPolynomial.{u2, u1} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u1, u2} S₁ σ _inst_2)))))) (MvPolynomial.smulZeroClass.{u3, u1, u2} R S₁ σ _inst_2 _inst_3)) a f)) (SMul.smul.{u3, u1} R S₁ (SMulZeroClass.toHasSmul.{u3, u1} R S₁ (MulZeroClass.toHasZero.{u1} S₁ (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} S₁ (Semiring.toNonAssocSemiring.{u1} S₁ (CommSemiring.toSemiring.{u1} S₁ _inst_2))))) _inst_3) a (coeFn.{max (succ (max u2 u1)) (succ u1), max (succ (max u2 u1)) (succ u1)} (RingHom.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u1, u2} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u1} S₁ (CommSemiring.toSemiring.{u1} S₁ _inst_2))) (fun (_x : RingHom.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u1, u2} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u1} S₁ (CommSemiring.toSemiring.{u1} S₁ _inst_2))) => (MvPolynomial.{u2, u1} σ S₁ _inst_2) -> S₁) (RingHom.hasCoeToFun.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u1, u2} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u1} S₁ (CommSemiring.toSemiring.{u1} S₁ _inst_2))) (MvPolynomial.constantCoeff.{u1, u2} S₁ σ _inst_2) f))
 but is expected to have type
-  forall {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_2 : CommSemiring.{u3} S₁] {R : Type.{u2}} [_inst_3 : SMulZeroClass.{u2, u3} R S₁ (CommMonoidWithZero.toZero.{u3} S₁ (CommSemiring.toCommMonoidWithZero.{u3} S₁ _inst_2))] (a : R) (f : MvPolynomial.{u1, u3} σ S₁ _inst_2), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u3} σ S₁ _inst_2) => S₁) (HSMul.hSMul.{u2, max u3 u1, max u3 u1} R (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (instHSMul.{u2, max u3 u1} R (MvPolynomial.{u1, u3} σ S₁ _inst_2) (SMulZeroClass.toSMul.{u2, max u3 u1} R (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommMonoidWithZero.toZero.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toCommMonoidWithZero.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (MvPolynomial.smulZeroClass.{u2, u3, u1} R S₁ σ _inst_2 _inst_3))) a f)) (FunLike.coe.{max (succ u1) (succ u3), max (succ u1) (succ u3), succ u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (fun (_x : MvPolynomial.{u1, u3} σ S₁ _inst_2) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u3} σ S₁ _inst_2) => S₁) _x) (MulHomClass.toFunLike.{max u1 u3, max u1 u3, u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (NonUnitalNonAssocSemiring.toMul.{max u1 u3} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u3, max u1 u3, u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u3, max u1 u3, u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{max u1 u3, u3} (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (MvPolynomial.constantCoeff.{u3, u1} S₁ σ _inst_2) (HSMul.hSMul.{u2, max u3 u1, max u3 u1} R (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (instHSMul.{u2, max u3 u1} R (MvPolynomial.{u1, u3} σ S₁ _inst_2) (SMulZeroClass.toSMul.{u2, max u3 u1} R (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommMonoidWithZero.toZero.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toCommMonoidWithZero.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (MvPolynomial.smulZeroClass.{u2, u3, u1} R S₁ σ _inst_2 _inst_3))) a f)) (HSMul.hSMul.{u2, u3, u3} R ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u3} σ S₁ _inst_2) => S₁) f) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u3} σ S₁ _inst_2) => S₁) f) (instHSMul.{u2, u3} R ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u3} σ S₁ _inst_2) => S₁) f) (SMulZeroClass.toSMul.{u2, u3} R ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u3} σ S₁ _inst_2) => S₁) f) (CommMonoidWithZero.toZero.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u3} σ S₁ _inst_2) => S₁) f) (CommSemiring.toCommMonoidWithZero.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u3} σ S₁ _inst_2) => S₁) f) _inst_2)) _inst_3)) a (FunLike.coe.{max (succ u1) (succ u3), max (succ u1) (succ u3), succ u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (fun (_x : MvPolynomial.{u1, u3} σ S₁ _inst_2) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u3} σ S₁ _inst_2) => S₁) _x) (MulHomClass.toFunLike.{max u1 u3, max u1 u3, u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (NonUnitalNonAssocSemiring.toMul.{max u1 u3} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u3, max u1 u3, u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u3, max u1 u3, u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{max u1 u3, u3} (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (MvPolynomial.constantCoeff.{u3, u1} S₁ σ _inst_2) f))
+  forall {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_2 : CommSemiring.{u3} S₁] {R : Type.{u2}} [_inst_3 : SMulZeroClass.{u2, u3} R S₁ (CommMonoidWithZero.toZero.{u3} S₁ (CommSemiring.toCommMonoidWithZero.{u3} S₁ _inst_2))] (a : R) (f : MvPolynomial.{u1, u3} σ S₁ _inst_2), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u3} σ S₁ _inst_2) => S₁) (HSMul.hSMul.{u2, max u3 u1, max u3 u1} R (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (instHSMul.{u2, max u3 u1} R (MvPolynomial.{u1, u3} σ S₁ _inst_2) (SMulZeroClass.toSMul.{u2, max u3 u1} R (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommMonoidWithZero.toZero.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toCommMonoidWithZero.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (MvPolynomial.smulZeroClass.{u2, u3, u1} R S₁ σ _inst_2 _inst_3))) a f)) (FunLike.coe.{max (succ u1) (succ u3), max (succ u1) (succ u3), succ u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (fun (_x : MvPolynomial.{u1, u3} σ S₁ _inst_2) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u3} σ S₁ _inst_2) => S₁) _x) (MulHomClass.toFunLike.{max u1 u3, max u1 u3, u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (NonUnitalNonAssocSemiring.toMul.{max u1 u3} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u3, max u1 u3, u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u3, max u1 u3, u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{max u1 u3, u3} (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (MvPolynomial.constantCoeff.{u3, u1} S₁ σ _inst_2) (HSMul.hSMul.{u2, max u3 u1, max u3 u1} R (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (instHSMul.{u2, max u3 u1} R (MvPolynomial.{u1, u3} σ S₁ _inst_2) (SMulZeroClass.toSMul.{u2, max u3 u1} R (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommMonoidWithZero.toZero.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toCommMonoidWithZero.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (MvPolynomial.smulZeroClass.{u2, u3, u1} R S₁ σ _inst_2 _inst_3))) a f)) (HSMul.hSMul.{u2, u3, u3} R ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u3} σ S₁ _inst_2) => S₁) f) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u3} σ S₁ _inst_2) => S₁) f) (instHSMul.{u2, u3} R ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u3} σ S₁ _inst_2) => S₁) f) (SMulZeroClass.toSMul.{u2, u3} R ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u3} σ S₁ _inst_2) => S₁) f) (CommMonoidWithZero.toZero.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u3} σ S₁ _inst_2) => S₁) f) (CommSemiring.toCommMonoidWithZero.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u3} σ S₁ _inst_2) => S₁) f) _inst_2)) _inst_3)) a (FunLike.coe.{max (succ u1) (succ u3), max (succ u1) (succ u3), succ u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (fun (_x : MvPolynomial.{u1, u3} σ S₁ _inst_2) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u3} σ S₁ _inst_2) => S₁) _x) (MulHomClass.toFunLike.{max u1 u3, max u1 u3, u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (NonUnitalNonAssocSemiring.toMul.{max u1 u3} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u3, max u1 u3, u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u3, max u1 u3, u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{max u1 u3, u3} (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (MvPolynomial.constantCoeff.{u3, u1} S₁ σ _inst_2) f))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.constant_coeff_smul MvPolynomial.constantCoeff_smulₓ'. -/
 @[simp]
 theorem constantCoeff_smul {R : Type _} [SMulZeroClass R S₁] (a : R) (f : MvPolynomial σ S₁) :
@@ -1553,7 +1553,7 @@ theorem constantCoeff_smul {R : Type _} [SMulZeroClass R S₁] (a : R) (f : MvPo
 lean 3 declaration is
   forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_3 : DecidableEq.{succ u2} σ] (d : Finsupp.{u2, 0} σ Nat Nat.hasZero) (r : R), Eq.{succ u1} R (coeFn.{max (succ (max u2 u1)) (succ u1), max (succ (max u2 u1)) (succ u1)} (RingHom.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (fun (_x : RingHom.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) => (MvPolynomial.{u2, u1} σ R _inst_1) -> R) (RingHom.hasCoeToFun.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.constantCoeff.{u1, u2} R σ _inst_1) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 d) r)) (ite.{succ u1} R (Eq.{succ u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) d (OfNat.ofNat.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) 0 (OfNat.mk.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) 0 (Zero.zero.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.zero.{u2, 0} σ Nat Nat.hasZero))))) (Finsupp.decidableEq.{u2, 0} σ Nat Nat.hasZero (fun (a : σ) (b : σ) => _inst_3 a b) (fun (a : Nat) (b : Nat) => Nat.decidableEq a b) d (OfNat.ofNat.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) 0 (OfNat.mk.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) 0 (Zero.zero.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.zero.{u2, 0} σ Nat Nat.hasZero))))) r (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))))))
 but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_3 : DecidableEq.{succ u1} σ] (d : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (r : R), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (a : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 d) r)) (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), succ u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) _x) (MulHomClass.toFunLike.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (RingHom.instRingHomClassRingHom.{max u1 u2, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))))) (MvPolynomial.constantCoeff.{u2, u1} R σ _inst_1) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 d) r)) (ite.{succ u2} R (Eq.{succ u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) d (OfNat.ofNat.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) 0 (Zero.toOfNat0.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.zero.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))))) (Finsupp.decidableEq.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) (fun (a : σ) (b : σ) => _inst_3 a b) (fun (a : Nat) (b : Nat) => instDecidableEqNat a b) d (OfNat.ofNat.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) 0 (Zero.toOfNat0.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.zero.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))))) r (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1)))))
+  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_3 : DecidableEq.{succ u1} σ] (d : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (r : R), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (a : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 d) r)) (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), succ u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) _x) (MulHomClass.toFunLike.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (RingHom.instRingHomClassRingHom.{max u1 u2, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))))) (MvPolynomial.constantCoeff.{u2, u1} R σ _inst_1) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 d) r)) (ite.{succ u2} R (Eq.{succ u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) d (OfNat.ofNat.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) 0 (Zero.toOfNat0.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.zero.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))))) (Finsupp.decidableEq.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) (fun (a : σ) (b : σ) => _inst_3 a b) (fun (a : Nat) (b : Nat) => instDecidableEqNat a b) d (OfNat.ofNat.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) 0 (Zero.toOfNat0.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.zero.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))))) r (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1)))))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.constant_coeff_monomial MvPolynomial.constantCoeff_monomialₓ'. -/
 theorem constantCoeff_monomial [DecidableEq σ] (d : σ →₀ ℕ) (r : R) :
     constantCoeff (monomial d r) = if d = 0 then r else 0 := by
@@ -1631,7 +1631,7 @@ def eval₂ (p : MvPolynomial σ R) : S₁ :=
 lean 3 declaration is
   forall {R : Type.{u1}} {S₁ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] (g : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (x : σ -> S₁) (f : MvPolynomial.{u3, u1} σ R _inst_1), Eq.{succ u2} S₁ (MvPolynomial.eval₂.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 g x f) (Finset.sum.{u2, u3} S₁ (Finsupp.{u3, 0} σ Nat Nat.hasZero) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S₁ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)))) (MvPolynomial.support.{u1, u3} R σ _inst_1 f) (fun (d : Finsupp.{u3, 0} σ Nat Nat.hasZero) => HMul.hMul.{u2, u2, u2} S₁ S₁ S₁ (instHMul.{u2} S₁ (Distrib.toHasMul.{u2} S₁ (NonUnitalNonAssocSemiring.toDistrib.{u2} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S₁ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)))))) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (fun (_x : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) => R -> S₁) (RingHom.hasCoeToFun.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) g (MvPolynomial.coeff.{u1, u3} R σ _inst_1 d f)) (Finset.prod.{u2, u3} S₁ σ (CommSemiring.toCommMonoid.{u2} S₁ _inst_2) (Finsupp.support.{u3, 0} σ Nat Nat.hasZero d) (fun (i : σ) => HPow.hPow.{u2, 0, u2} S₁ Nat S₁ (instHPow.{u2, 0} S₁ Nat (Monoid.Pow.{u2} S₁ (MonoidWithZero.toMonoid.{u2} S₁ (Semiring.toMonoidWithZero.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))))) (x i) (coeFn.{succ u3, succ u3} (Finsupp.{u3, 0} σ Nat Nat.hasZero) (fun (_x : Finsupp.{u3, 0} σ Nat Nat.hasZero) => σ -> Nat) (Finsupp.coeFun.{u3, 0} σ Nat Nat.hasZero) d i)))))
 but is expected to have type
-  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] (g : RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (x : σ -> S₁) (f : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{succ u3} S₁ (MvPolynomial.eval₂.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 g x f) (Finset.sum.{u3, u1} S₁ (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (MvPolynomial.support.{u2, u1} R σ _inst_1 f) (fun (d : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => HMul.hMul.{u3, u3, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) (MvPolynomial.coeff.{u2, u1} R σ _inst_1 d f)) S₁ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) (MvPolynomial.coeff.{u2, u1} R σ _inst_1 d f)) (instHMul.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) (MvPolynomial.coeff.{u2, u1} R σ _inst_1 d f)) (NonUnitalNonAssocSemiring.toMul.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) (MvPolynomial.coeff.{u2, u1} R σ _inst_1 d f)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) (MvPolynomial.coeff.{u2, u1} R σ _inst_1 d f)) (Semiring.toNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) (MvPolynomial.coeff.{u2, u1} R σ _inst_1 d f)) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) (MvPolynomial.coeff.{u2, u1} R σ _inst_1 d f)) _inst_2))))) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) _x) (MulHomClass.toFunLike.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) g (MvPolynomial.coeff.{u2, u1} R σ _inst_1 d f)) (Finset.prod.{u3, u1} S₁ σ (CommSemiring.toCommMonoid.{u3} S₁ _inst_2) (Finsupp.support.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) d) (fun (i : σ) => HPow.hPow.{u3, 0, u3} S₁ ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : σ) => Nat) i) S₁ (instHPow.{u3, 0} S₁ ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : σ) => Nat) i) (Monoid.Pow.{u3} S₁ (MonoidWithZero.toMonoid.{u3} S₁ (Semiring.toMonoidWithZero.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))))) (x i) (FunLike.coe.{succ u1, succ u1, 1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) σ (fun (_x : σ) => (fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : σ) => Nat) _x) (Finsupp.funLike.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) d i)))))
+  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] (g : RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (x : σ -> S₁) (f : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{succ u3} S₁ (MvPolynomial.eval₂.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 g x f) (Finset.sum.{u3, u1} S₁ (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (MvPolynomial.support.{u2, u1} R σ _inst_1 f) (fun (d : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => HMul.hMul.{u3, u3, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) (MvPolynomial.coeff.{u2, u1} R σ _inst_1 d f)) S₁ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) (MvPolynomial.coeff.{u2, u1} R σ _inst_1 d f)) (instHMul.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) (MvPolynomial.coeff.{u2, u1} R σ _inst_1 d f)) (NonUnitalNonAssocSemiring.toMul.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) (MvPolynomial.coeff.{u2, u1} R σ _inst_1 d f)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) (MvPolynomial.coeff.{u2, u1} R σ _inst_1 d f)) (Semiring.toNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) (MvPolynomial.coeff.{u2, u1} R σ _inst_1 d f)) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) (MvPolynomial.coeff.{u2, u1} R σ _inst_1 d f)) _inst_2))))) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) _x) (MulHomClass.toFunLike.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) g (MvPolynomial.coeff.{u2, u1} R σ _inst_1 d f)) (Finset.prod.{u3, u1} S₁ σ (CommSemiring.toCommMonoid.{u3} S₁ _inst_2) (Finsupp.support.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) d) (fun (i : σ) => HPow.hPow.{u3, 0, u3} S₁ ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : σ) => Nat) i) S₁ (instHPow.{u3, 0} S₁ ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : σ) => Nat) i) (Monoid.Pow.{u3} S₁ (MonoidWithZero.toMonoid.{u3} S₁ (Semiring.toMonoidWithZero.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))))) (x i) (FunLike.coe.{succ u1, succ u1, 1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) σ (fun (_x : σ) => (fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : σ) => Nat) _x) (Finsupp.funLike.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) d i)))))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval₂_eq MvPolynomial.eval₂_eqₓ'. -/
 theorem eval₂_eq (g : R →+* S₁) (x : σ → S₁) (f : MvPolynomial σ R) :
     f.eval₂ g x = ∑ d in f.support, g (f.coeff d) * ∏ i in d.support, x i ^ d i :=
@@ -1642,7 +1642,7 @@ theorem eval₂_eq (g : R →+* S₁) (x : σ → S₁) (f : MvPolynomial σ R)
 lean 3 declaration is
   forall {R : Type.{u1}} {S₁ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] [_inst_3 : Fintype.{u3} σ] (g : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (x : σ -> S₁) (f : MvPolynomial.{u3, u1} σ R _inst_1), Eq.{succ u2} S₁ (MvPolynomial.eval₂.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 g x f) (Finset.sum.{u2, u3} S₁ (Finsupp.{u3, 0} σ Nat Nat.hasZero) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S₁ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)))) (MvPolynomial.support.{u1, u3} R σ _inst_1 f) (fun (d : Finsupp.{u3, 0} σ Nat Nat.hasZero) => HMul.hMul.{u2, u2, u2} S₁ S₁ S₁ (instHMul.{u2} S₁ (Distrib.toHasMul.{u2} S₁ (NonUnitalNonAssocSemiring.toDistrib.{u2} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S₁ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)))))) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (fun (_x : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) => R -> S₁) (RingHom.hasCoeToFun.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) g (MvPolynomial.coeff.{u1, u3} R σ _inst_1 d f)) (Finset.prod.{u2, u3} S₁ σ (CommSemiring.toCommMonoid.{u2} S₁ _inst_2) (Finset.univ.{u3} σ _inst_3) (fun (i : σ) => HPow.hPow.{u2, 0, u2} S₁ Nat S₁ (instHPow.{u2, 0} S₁ Nat (Monoid.Pow.{u2} S₁ (MonoidWithZero.toMonoid.{u2} S₁ (Semiring.toMonoidWithZero.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))))) (x i) (coeFn.{succ u3, succ u3} (Finsupp.{u3, 0} σ Nat Nat.hasZero) (fun (_x : Finsupp.{u3, 0} σ Nat Nat.hasZero) => σ -> Nat) (Finsupp.coeFun.{u3, 0} σ Nat Nat.hasZero) d i)))))
 but is expected to have type
-  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] [_inst_3 : Fintype.{u1} σ] (g : RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (x : σ -> S₁) (f : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{succ u3} S₁ (MvPolynomial.eval₂.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 g x f) (Finset.sum.{u3, u1} S₁ (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (MvPolynomial.support.{u2, u1} R σ _inst_1 f) (fun (d : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => HMul.hMul.{u3, u3, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) (MvPolynomial.coeff.{u2, u1} R σ _inst_1 d f)) S₁ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) (MvPolynomial.coeff.{u2, u1} R σ _inst_1 d f)) (instHMul.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) (MvPolynomial.coeff.{u2, u1} R σ _inst_1 d f)) (NonUnitalNonAssocSemiring.toMul.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) (MvPolynomial.coeff.{u2, u1} R σ _inst_1 d f)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) (MvPolynomial.coeff.{u2, u1} R σ _inst_1 d f)) (Semiring.toNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) (MvPolynomial.coeff.{u2, u1} R σ _inst_1 d f)) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) (MvPolynomial.coeff.{u2, u1} R σ _inst_1 d f)) _inst_2))))) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) _x) (MulHomClass.toFunLike.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) g (MvPolynomial.coeff.{u2, u1} R σ _inst_1 d f)) (Finset.prod.{u3, u1} S₁ σ (CommSemiring.toCommMonoid.{u3} S₁ _inst_2) (Finset.univ.{u1} σ _inst_3) (fun (i : σ) => HPow.hPow.{u3, 0, u3} S₁ ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : σ) => Nat) i) S₁ (instHPow.{u3, 0} S₁ ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : σ) => Nat) i) (Monoid.Pow.{u3} S₁ (MonoidWithZero.toMonoid.{u3} S₁ (Semiring.toMonoidWithZero.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))))) (x i) (FunLike.coe.{succ u1, succ u1, 1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) σ (fun (_x : σ) => (fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : σ) => Nat) _x) (Finsupp.funLike.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) d i)))))
+  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] [_inst_3 : Fintype.{u1} σ] (g : RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (x : σ -> S₁) (f : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{succ u3} S₁ (MvPolynomial.eval₂.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 g x f) (Finset.sum.{u3, u1} S₁ (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (MvPolynomial.support.{u2, u1} R σ _inst_1 f) (fun (d : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => HMul.hMul.{u3, u3, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) (MvPolynomial.coeff.{u2, u1} R σ _inst_1 d f)) S₁ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) (MvPolynomial.coeff.{u2, u1} R σ _inst_1 d f)) (instHMul.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) (MvPolynomial.coeff.{u2, u1} R σ _inst_1 d f)) (NonUnitalNonAssocSemiring.toMul.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) (MvPolynomial.coeff.{u2, u1} R σ _inst_1 d f)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) (MvPolynomial.coeff.{u2, u1} R σ _inst_1 d f)) (Semiring.toNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) (MvPolynomial.coeff.{u2, u1} R σ _inst_1 d f)) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) (MvPolynomial.coeff.{u2, u1} R σ _inst_1 d f)) _inst_2))))) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) _x) (MulHomClass.toFunLike.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) g (MvPolynomial.coeff.{u2, u1} R σ _inst_1 d f)) (Finset.prod.{u3, u1} S₁ σ (CommSemiring.toCommMonoid.{u3} S₁ _inst_2) (Finset.univ.{u1} σ _inst_3) (fun (i : σ) => HPow.hPow.{u3, 0, u3} S₁ ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : σ) => Nat) i) S₁ (instHPow.{u3, 0} S₁ ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : σ) => Nat) i) (Monoid.Pow.{u3} S₁ (MonoidWithZero.toMonoid.{u3} S₁ (Semiring.toMonoidWithZero.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))))) (x i) (FunLike.coe.{succ u1, succ u1, 1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) σ (fun (_x : σ) => (fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : σ) => Nat) _x) (Finsupp.funLike.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) d i)))))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval₂_eq' MvPolynomial.eval₂_eq'ₓ'. -/
 theorem eval₂_eq' [Fintype σ] (g : R →+* S₁) (x : σ → S₁) (f : MvPolynomial σ R) :
     f.eval₂ g x = ∑ d in f.support, g (f.coeff d) * ∏ i, x i ^ d i :=
@@ -1679,7 +1679,7 @@ theorem eval₂_add : (p + q).eval₂ f g = p.eval₂ f g + q.eval₂ f g := by
 lean 3 declaration is
   forall {R : Type.{u1}} {S₁ : Type.{u2}} {σ : Type.{u3}} {a : R} {s : Finsupp.{u3, 0} σ Nat Nat.hasZero} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] (f : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (g : σ -> S₁), Eq.{succ u2} S₁ (MvPolynomial.eval₂.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 f g (coeFn.{max (succ u1) (succ (max u3 u1)), max (succ u1) (succ (max u3 u1))} (LinearMap.{u1, u1, u1, max u3 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u3, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u3 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u3, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u3, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u3 u1} R R R (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u3} R σ _inst_1 s) a)) (HMul.hMul.{u2, u2, u2} S₁ S₁ S₁ (instHMul.{u2} S₁ (Distrib.toHasMul.{u2} S₁ (NonUnitalNonAssocSemiring.toDistrib.{u2} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S₁ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)))))) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (fun (_x : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) => R -> S₁) (RingHom.hasCoeToFun.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) f a) (Finsupp.prod.{u3, 0, u2} σ Nat S₁ Nat.hasZero (CommSemiring.toCommMonoid.{u2} S₁ _inst_2) s (fun (n : σ) (e : Nat) => HPow.hPow.{u2, 0, u2} S₁ Nat S₁ (instHPow.{u2, 0} S₁ Nat (Monoid.Pow.{u2} S₁ (MonoidWithZero.toMonoid.{u2} S₁ (Semiring.toMonoidWithZero.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))))) (g n) e)))
 but is expected to have type
-  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} {a : R} {s : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] (f : RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (g : σ -> S₁), Eq.{succ u3} S₁ (MvPolynomial.eval₂.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f g (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s) a)) (HMul.hMul.{u3, u3, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) S₁ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) (instHMul.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) (NonUnitalNonAssocSemiring.toMul.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) (Semiring.toNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) _inst_2))))) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) _x) (MulHomClass.toFunLike.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) f a) (Finsupp.prod.{u1, 0, u3} σ Nat S₁ (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) (CommSemiring.toCommMonoid.{u3} S₁ _inst_2) s (fun (n : σ) (e : Nat) => HPow.hPow.{u3, 0, u3} S₁ Nat S₁ (instHPow.{u3, 0} S₁ Nat (Monoid.Pow.{u3} S₁ (MonoidWithZero.toMonoid.{u3} S₁ (Semiring.toMonoidWithZero.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))))) (g n) e)))
+  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} {a : R} {s : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] (f : RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (g : σ -> S₁), Eq.{succ u3} S₁ (MvPolynomial.eval₂.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f g (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s) a)) (HMul.hMul.{u3, u3, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) S₁ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) (instHMul.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) (NonUnitalNonAssocSemiring.toMul.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) (Semiring.toNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) _inst_2))))) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) _x) (MulHomClass.toFunLike.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) f a) (Finsupp.prod.{u1, 0, u3} σ Nat S₁ (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) (CommSemiring.toCommMonoid.{u3} S₁ _inst_2) s (fun (n : σ) (e : Nat) => HPow.hPow.{u3, 0, u3} S₁ Nat S₁ (instHPow.{u3, 0} S₁ Nat (Monoid.Pow.{u3} S₁ (MonoidWithZero.toMonoid.{u3} S₁ (Semiring.toMonoidWithZero.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))))) (g n) e)))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval₂_monomial MvPolynomial.eval₂_monomialₓ'. -/
 @[simp]
 theorem eval₂_monomial : (monomial s a).eval₂ f g = f a * s.Prod fun n e => g n ^ e :=
@@ -1690,7 +1690,7 @@ theorem eval₂_monomial : (monomial s a).eval₂ f g = f a * s.Prod fun n e =>
 lean 3 declaration is
   forall {R : Type.{u1}} {S₁ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] (f : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (g : σ -> S₁) (a : R), Eq.{succ u2} S₁ (MvPolynomial.eval₂.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 f g (coeFn.{max (succ u1) (succ (max u3 u1)), max (succ u1) (succ (max u3 u1))} (RingHom.{u1, max u3 u1} R (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)))) (fun (_x : RingHom.{u1, max u3 u1} R (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)))) => R -> (MvPolynomial.{u3, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{u1, max u3 u1} R (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)))) (MvPolynomial.C.{u1, u3} R σ _inst_1) a)) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (fun (_x : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) => R -> S₁) (RingHom.hasCoeToFun.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) f a)
 but is expected to have type
-  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] (f : RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (g : σ -> S₁) (a : R), Eq.{succ u3} S₁ (MvPolynomial.eval₂.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f g (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) a)) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) _x) (MulHomClass.toFunLike.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) f a)
+  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] (f : RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (g : σ -> S₁) (a : R), Eq.{succ u3} S₁ (MvPolynomial.eval₂.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f g (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) a)) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) _x) (MulHomClass.toFunLike.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) f a)
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval₂_C MvPolynomial.eval₂_Cₓ'. -/
 @[simp]
 theorem eval₂_C (a) : (C a).eval₂ f g = f a := by
@@ -1723,7 +1723,7 @@ theorem eval₂_X (n) : (X n).eval₂ f g = g n := by
 lean 3 declaration is
   forall {R : Type.{u1}} {S₁ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] {p : MvPolynomial.{u3, u1} σ R _inst_1} (f : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (g : σ -> S₁) {s : Finsupp.{u3, 0} σ Nat Nat.hasZero} {a : R}, Eq.{succ u2} S₁ (MvPolynomial.eval₂.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 f g (HMul.hMul.{max u3 u1, max u3 u1, max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u1} σ R _inst_1) (instHMul.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Distrib.toHasMul.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))))) p (coeFn.{max (succ u1) (succ (max u3 u1)), max (succ u1) (succ (max u3 u1))} (LinearMap.{u1, u1, u1, max u3 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u3, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u3 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u3, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u3, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u3 u1} R R R (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u3} R σ _inst_1 s) a))) (HMul.hMul.{u2, u2, u2} S₁ S₁ S₁ (instHMul.{u2} S₁ (Distrib.toHasMul.{u2} S₁ (NonUnitalNonAssocSemiring.toDistrib.{u2} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S₁ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)))))) (HMul.hMul.{u2, u2, u2} S₁ S₁ S₁ (instHMul.{u2} S₁ (Distrib.toHasMul.{u2} S₁ (NonUnitalNonAssocSemiring.toDistrib.{u2} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S₁ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)))))) (MvPolynomial.eval₂.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 f g p) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (fun (_x : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) => R -> S₁) (RingHom.hasCoeToFun.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) f a)) (Finsupp.prod.{u3, 0, u2} σ Nat S₁ Nat.hasZero (CommSemiring.toCommMonoid.{u2} S₁ _inst_2) s (fun (n : σ) (e : Nat) => HPow.hPow.{u2, 0, u2} S₁ Nat S₁ (instHPow.{u2, 0} S₁ Nat (Monoid.Pow.{u2} S₁ (MonoidWithZero.toMonoid.{u2} S₁ (Semiring.toMonoidWithZero.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))))) (g n) e)))
 but is expected to have type
-  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] {p : MvPolynomial.{u1, u2} σ R _inst_1} (f : RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (g : σ -> S₁) {s : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)} {a : R}, Eq.{succ u3} S₁ (MvPolynomial.eval₂.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f g (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (MvPolynomial.{u1, u2} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) p (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s) a))) (HMul.hMul.{u3, u3, u3} S₁ S₁ S₁ (instHMul.{u3} S₁ (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))))) (HMul.hMul.{u3, u3, u3} S₁ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) S₁ (instHMul.{u3} S₁ (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))))) (MvPolynomial.eval₂.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f g p) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) _x) (MulHomClass.toFunLike.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) f a)) (Finsupp.prod.{u1, 0, u3} σ Nat S₁ (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) (CommSemiring.toCommMonoid.{u3} S₁ _inst_2) s (fun (n : σ) (e : Nat) => HPow.hPow.{u3, 0, u3} S₁ Nat S₁ (instHPow.{u3, 0} S₁ Nat (Monoid.Pow.{u3} S₁ (MonoidWithZero.toMonoid.{u3} S₁ (Semiring.toMonoidWithZero.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))))) (g n) e)))
+  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] {p : MvPolynomial.{u1, u2} σ R _inst_1} (f : RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (g : σ -> S₁) {s : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)} {a : R}, Eq.{succ u3} S₁ (MvPolynomial.eval₂.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f g (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (MvPolynomial.{u1, u2} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) p (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s) a))) (HMul.hMul.{u3, u3, u3} S₁ S₁ S₁ (instHMul.{u3} S₁ (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))))) (HMul.hMul.{u3, u3, u3} S₁ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) S₁ (instHMul.{u3} S₁ (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))))) (MvPolynomial.eval₂.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f g p) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) _x) (MulHomClass.toFunLike.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) f a)) (Finsupp.prod.{u1, 0, u3} σ Nat S₁ (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) (CommSemiring.toCommMonoid.{u3} S₁ _inst_2) s (fun (n : σ) (e : Nat) => HPow.hPow.{u3, 0, u3} S₁ Nat S₁ (instHPow.{u3, 0} S₁ Nat (Monoid.Pow.{u3} S₁ (MonoidWithZero.toMonoid.{u3} S₁ (Semiring.toMonoidWithZero.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))))) (g n) e)))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval₂_mul_monomial MvPolynomial.eval₂_mul_monomialₓ'. -/
 theorem eval₂_mul_monomial :
     ∀ {s a}, (p * monomial s a).eval₂ f g = p.eval₂ f g * f a * s.Prod fun n e => g n ^ e := by
@@ -1748,7 +1748,7 @@ theorem eval₂_mul_monomial :
 lean 3 declaration is
   forall {R : Type.{u1}} {S₁ : Type.{u2}} {σ : Type.{u3}} {a : R} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] {p : MvPolynomial.{u3, u1} σ R _inst_1} (f : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (g : σ -> S₁), Eq.{succ u2} S₁ (MvPolynomial.eval₂.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 f g (HMul.hMul.{max u3 u1, max u3 u1, max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u1} σ R _inst_1) (instHMul.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Distrib.toHasMul.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))))) p (coeFn.{max (succ u1) (succ (max u3 u1)), max (succ u1) (succ (max u3 u1))} (RingHom.{u1, max u3 u1} R (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)))) (fun (_x : RingHom.{u1, max u3 u1} R (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)))) => R -> (MvPolynomial.{u3, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{u1, max u3 u1} R (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)))) (MvPolynomial.C.{u1, u3} R σ _inst_1) a))) (HMul.hMul.{u2, u2, u2} S₁ S₁ S₁ (instHMul.{u2} S₁ (Distrib.toHasMul.{u2} S₁ (NonUnitalNonAssocSemiring.toDistrib.{u2} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S₁ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)))))) (MvPolynomial.eval₂.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 f g p) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (fun (_x : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) => R -> S₁) (RingHom.hasCoeToFun.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) f a))
 but is expected to have type
-  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} {a : R} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] {p : MvPolynomial.{u1, u2} σ R _inst_1} (f : RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (g : σ -> S₁), Eq.{succ u3} S₁ (MvPolynomial.eval₂.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f g (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (MvPolynomial.{u1, u2} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) p (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) a))) (HMul.hMul.{u3, u3, u3} S₁ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) S₁ (instHMul.{u3} S₁ (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))))) (MvPolynomial.eval₂.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f g p) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) _x) (MulHomClass.toFunLike.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) f a))
+  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} {a : R} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] {p : MvPolynomial.{u1, u2} σ R _inst_1} (f : RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (g : σ -> S₁), Eq.{succ u3} S₁ (MvPolynomial.eval₂.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f g (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (MvPolynomial.{u1, u2} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) p (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) a))) (HMul.hMul.{u3, u3, u3} S₁ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) S₁ (instHMul.{u3} S₁ (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))))) (MvPolynomial.eval₂.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f g p) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) _x) (MulHomClass.toFunLike.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) f a))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval₂_mul_C MvPolynomial.eval₂_mul_Cₓ'. -/
 theorem eval₂_mul_C : (p * C a).eval₂ f g = p.eval₂ f g * f a :=
   (eval₂_mul_monomial _ _).trans <| by simp
@@ -1799,7 +1799,7 @@ def eval₂Hom (f : R →+* S₁) (g : σ → S₁) : MvPolynomial σ R →+* S
 lean 3 declaration is
   forall {R : Type.{u1}} {S₁ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] (f : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (g : σ -> S₁), Eq.{max (succ (max u3 u1)) (succ u2)} ((MvPolynomial.{u3, u1} σ R _inst_1) -> S₁) (coeFn.{max (succ (max u3 u1)) (succ u2), max (succ (max u3 u1)) (succ u2)} (RingHom.{max u3 u1, u2} (MvPolynomial.{u3, u1} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (fun (_x : RingHom.{max u3 u1, u2} (MvPolynomial.{u3, u1} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) => (MvPolynomial.{u3, u1} σ R _inst_1) -> S₁) (RingHom.hasCoeToFun.{max u3 u1, u2} (MvPolynomial.{u3, u1} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (MvPolynomial.eval₂Hom.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 f g)) (MvPolynomial.eval₂.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 f g)
 but is expected to have type
-  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] (f : RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (g : σ -> S₁), Eq.{max (max (succ u2) (succ u3)) (succ u1)} (forall (ᾰ : MvPolynomial.{u1, u2} σ R _inst_1), (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => S₁) ᾰ) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u2) (succ u1), succ u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => S₁) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (MvPolynomial.eval₂Hom.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f g)) (MvPolynomial.eval₂.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f g)
+  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] (f : RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (g : σ -> S₁), Eq.{max (max (succ u2) (succ u3)) (succ u1)} (forall (ᾰ : MvPolynomial.{u1, u2} σ R _inst_1), (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => S₁) ᾰ) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u2) (succ u1), succ u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => S₁) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (MvPolynomial.eval₂Hom.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f g)) (MvPolynomial.eval₂.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f g)
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.coe_eval₂_hom MvPolynomial.coe_eval₂Homₓ'. -/
 @[simp]
 theorem coe_eval₂Hom (f : R →+* S₁) (g : σ → S₁) : ⇑(eval₂Hom f g) = eval₂ f g :=
@@ -1810,7 +1810,7 @@ theorem coe_eval₂Hom (f : R →+* S₁) (g : σ → S₁) : ⇑(eval₂Hom f g
 lean 3 declaration is
   forall {R : Type.{u1}} {S₁ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] {f₁ : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))} {f₂ : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))} {g₁ : σ -> S₁} {g₂ : σ -> S₁} {p₁ : MvPolynomial.{u3, u1} σ R _inst_1} {p₂ : MvPolynomial.{u3, u1} σ R _inst_1}, (Eq.{max (succ u1) (succ u2)} (RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) f₁ f₂) -> (Eq.{max (succ u3) (succ u2)} (σ -> S₁) g₁ g₂) -> (Eq.{max (succ u3) (succ u1)} (MvPolynomial.{u3, u1} σ R _inst_1) p₁ p₂) -> (Eq.{succ u2} S₁ (coeFn.{max (succ (max u3 u1)) (succ u2), max (succ (max u3 u1)) (succ u2)} (RingHom.{max u3 u1, u2} (MvPolynomial.{u3, u1} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (fun (_x : RingHom.{max u3 u1, u2} (MvPolynomial.{u3, u1} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) => (MvPolynomial.{u3, u1} σ R _inst_1) -> S₁) (RingHom.hasCoeToFun.{max u3 u1, u2} (MvPolynomial.{u3, u1} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (MvPolynomial.eval₂Hom.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 f₁ g₁) p₁) (coeFn.{max (succ (max u3 u1)) (succ u2), max (succ (max u3 u1)) (succ u2)} (RingHom.{max u3 u1, u2} (MvPolynomial.{u3, u1} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (fun (_x : RingHom.{max u3 u1, u2} (MvPolynomial.{u3, u1} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) => (MvPolynomial.{u3, u1} σ R _inst_1) -> S₁) (RingHom.hasCoeToFun.{max u3 u1, u2} (MvPolynomial.{u3, u1} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (MvPolynomial.eval₂Hom.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 f₂ g₂) p₂))
 but is expected to have type
-  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] {f₁ : RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))} {f₂ : RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))} {g₁ : σ -> S₁} {g₂ : σ -> S₁} {p₁ : MvPolynomial.{u1, u2} σ R _inst_1} {p₂ : MvPolynomial.{u1, u2} σ R _inst_1}, (Eq.{max (succ u2) (succ u3)} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) f₁ f₂) -> (Eq.{max (succ u3) (succ u1)} (σ -> S₁) g₁ g₂) -> (Eq.{max (succ u2) (succ u1)} (MvPolynomial.{u1, u2} σ R _inst_1) p₁ p₂) -> (Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => S₁) p₁) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u2) (succ u1), succ u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => S₁) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (MvPolynomial.eval₂Hom.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f₁ g₁) p₁) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u2) (succ u1), succ u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => S₁) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (MvPolynomial.eval₂Hom.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f₂ g₂) p₂))
+  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] {f₁ : RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))} {f₂ : RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))} {g₁ : σ -> S₁} {g₂ : σ -> S₁} {p₁ : MvPolynomial.{u1, u2} σ R _inst_1} {p₂ : MvPolynomial.{u1, u2} σ R _inst_1}, (Eq.{max (succ u2) (succ u3)} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) f₁ f₂) -> (Eq.{max (succ u3) (succ u1)} (σ -> S₁) g₁ g₂) -> (Eq.{max (succ u2) (succ u1)} (MvPolynomial.{u1, u2} σ R _inst_1) p₁ p₂) -> (Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => S₁) p₁) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u2) (succ u1), succ u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => S₁) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (MvPolynomial.eval₂Hom.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f₁ g₁) p₁) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u2) (succ u1), succ u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => S₁) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (MvPolynomial.eval₂Hom.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f₂ g₂) p₂))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval₂_hom_congr MvPolynomial.eval₂Hom_congrₓ'. -/
 theorem eval₂Hom_congr {f₁ f₂ : R →+* S₁} {g₁ g₂ : σ → S₁} {p₁ p₂ : MvPolynomial σ R} :
     f₁ = f₂ → g₁ = g₂ → p₁ = p₂ → eval₂Hom f₁ g₁ p₁ = eval₂Hom f₂ g₂ p₂ := by
@@ -1823,7 +1823,7 @@ end
 lean 3 declaration is
   forall {R : Type.{u1}} {S₁ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] (f : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (g : σ -> S₁) (r : R), Eq.{succ u2} S₁ (coeFn.{max (succ (max u3 u1)) (succ u2), max (succ (max u3 u1)) (succ u2)} (RingHom.{max u3 u1, u2} (MvPolynomial.{u3, u1} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (fun (_x : RingHom.{max u3 u1, u2} (MvPolynomial.{u3, u1} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) => (MvPolynomial.{u3, u1} σ R _inst_1) -> S₁) (RingHom.hasCoeToFun.{max u3 u1, u2} (MvPolynomial.{u3, u1} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (MvPolynomial.eval₂Hom.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 f g) (coeFn.{max (succ u1) (succ (max u3 u1)), max (succ u1) (succ (max u3 u1))} (RingHom.{u1, max u3 u1} R (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)))) (fun (_x : RingHom.{u1, max u3 u1} R (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)))) => R -> (MvPolynomial.{u3, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{u1, max u3 u1} R (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)))) (MvPolynomial.C.{u1, u3} R σ _inst_1) r)) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (fun (_x : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) => R -> S₁) (RingHom.hasCoeToFun.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) f r)
 but is expected to have type
-  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] (f : RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (g : σ -> S₁) (r : R), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => S₁) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (a : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) r)) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u2) (succ u1), succ u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => S₁) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (MvPolynomial.eval₂Hom.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f g) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) r)) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) _x) (MulHomClass.toFunLike.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) f r)
+  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] (f : RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (g : σ -> S₁) (r : R), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => S₁) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (a : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) r)) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u2) (succ u1), succ u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => S₁) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (MvPolynomial.eval₂Hom.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f g) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) r)) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) _x) (MulHomClass.toFunLike.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) f r)
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval₂_hom_C MvPolynomial.eval₂Hom_Cₓ'. -/
 @[simp]
 theorem eval₂Hom_C (f : R →+* S₁) (g : σ → S₁) (r : R) : eval₂Hom f g (C r) = f r :=
@@ -1834,7 +1834,7 @@ theorem eval₂Hom_C (f : R →+* S₁) (g : σ → S₁) (r : R) : eval₂Hom f
 lean 3 declaration is
   forall {R : Type.{u1}} {S₁ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] (f : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (g : σ -> S₁) (i : σ), Eq.{succ u2} S₁ (coeFn.{max (succ (max u3 u1)) (succ u2), max (succ (max u3 u1)) (succ u2)} (RingHom.{max u3 u1, u2} (MvPolynomial.{u3, u1} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (fun (_x : RingHom.{max u3 u1, u2} (MvPolynomial.{u3, u1} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) => (MvPolynomial.{u3, u1} σ R _inst_1) -> S₁) (RingHom.hasCoeToFun.{max u3 u1, u2} (MvPolynomial.{u3, u1} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (MvPolynomial.eval₂Hom.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 f g) (MvPolynomial.X.{u1, u3} R σ _inst_1 i)) (g i)
 but is expected to have type
-  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] (f : RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (g : σ -> S₁) (i : σ), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => S₁) (MvPolynomial.X.{u2, u1} R σ _inst_1 i)) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u2) (succ u1), succ u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => S₁) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (MvPolynomial.eval₂Hom.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f g) (MvPolynomial.X.{u2, u1} R σ _inst_1 i)) (g i)
+  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] (f : RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (g : σ -> S₁) (i : σ), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => S₁) (MvPolynomial.X.{u2, u1} R σ _inst_1 i)) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u2) (succ u1), succ u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => S₁) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (MvPolynomial.eval₂Hom.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f g) (MvPolynomial.X.{u2, u1} R σ _inst_1 i)) (g i)
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval₂_hom_X' MvPolynomial.eval₂Hom_X'ₓ'. -/
 @[simp]
 theorem eval₂Hom_X' (f : R →+* S₁) (g : σ → S₁) (i : σ) : eval₂Hom f g (X i) = g i :=
@@ -1845,7 +1845,7 @@ theorem eval₂Hom_X' (f : R →+* S₁) (g : σ → S₁) (i : σ) : eval₂Hom
 lean 3 declaration is
   forall {R : Type.{u1}} {S₁ : Type.{u2}} {S₂ : Type.{u3}} {σ : Type.{u4}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] [_inst_3 : CommSemiring.{u3} S₂] (f : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (g : σ -> S₁) (φ : RingHom.{u2, u3} S₁ S₂ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_3))), Eq.{max (succ (max u4 u1)) (succ u3)} (RingHom.{max u4 u1, u3} (MvPolynomial.{u4, u1} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u4, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u4, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u4} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_3))) (RingHom.comp.{max u4 u1, u2, u3} (MvPolynomial.{u4, u1} σ R _inst_1) S₁ S₂ (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u4, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u4, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u4} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_3)) φ (MvPolynomial.eval₂Hom.{u1, u2, u4} R S₁ σ _inst_1 _inst_2 f g)) (MvPolynomial.eval₂Hom.{u1, u3, u4} R S₂ σ _inst_1 _inst_3 (RingHom.comp.{u1, u2, u3} R S₁ S₂ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_3)) φ f) (fun (i : σ) => coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (RingHom.{u2, u3} S₁ S₂ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_3))) (fun (_x : RingHom.{u2, u3} S₁ S₂ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_3))) => S₁ -> S₂) (RingHom.hasCoeToFun.{u2, u3} S₁ S₂ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_3))) φ (g i)))
 but is expected to have type
-  forall {R : Type.{u2}} {S₁ : Type.{u3}} {S₂ : Type.{u4}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] [_inst_3 : CommSemiring.{u4} S₂] (f : RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (g : σ -> S₁) (φ : RingHom.{u3, u4} S₁ S₂ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))), Eq.{max (max (succ u2) (succ u4)) (succ u1)} (RingHom.{max u1 u2, u4} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))) (RingHom.comp.{max u1 u2, u3, u4} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3)) φ (MvPolynomial.eval₂Hom.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f g)) (MvPolynomial.eval₂Hom.{u2, u4, u1} R S₂ σ _inst_1 _inst_3 (RingHom.comp.{u2, u3, u4} R S₁ S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3)) φ f) (fun (i : σ) => FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (RingHom.{u3, u4} S₁ S₂ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))) S₁ (fun (_x : S₁) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : S₁) => S₂) _x) (MulHomClass.toFunLike.{max u3 u4, u3, u4} (RingHom.{u3, u4} S₁ S₂ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))) S₁ S₂ (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalNonAssocSemiring.toMul.{u4} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₂ (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3)))) (NonUnitalRingHomClass.toMulHomClass.{max u3 u4, u3, u4} (RingHom.{u3, u4} S₁ S₂ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))) S₁ S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₂ (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))) (RingHomClass.toNonUnitalRingHomClass.{max u3 u4, u3, u4} (RingHom.{u3, u4} S₁ S₂ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))) S₁ S₂ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3)) (RingHom.instRingHomClassRingHom.{u3, u4} S₁ S₂ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3)))))) φ (g i)))
+  forall {R : Type.{u2}} {S₁ : Type.{u3}} {S₂ : Type.{u4}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] [_inst_3 : CommSemiring.{u4} S₂] (f : RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (g : σ -> S₁) (φ : RingHom.{u3, u4} S₁ S₂ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))), Eq.{max (max (succ u2) (succ u4)) (succ u1)} (RingHom.{max u1 u2, u4} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))) (RingHom.comp.{max u1 u2, u3, u4} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3)) φ (MvPolynomial.eval₂Hom.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f g)) (MvPolynomial.eval₂Hom.{u2, u4, u1} R S₂ σ _inst_1 _inst_3 (RingHom.comp.{u2, u3, u4} R S₁ S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3)) φ f) (fun (i : σ) => FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (RingHom.{u3, u4} S₁ S₂ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))) S₁ (fun (_x : S₁) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : S₁) => S₂) _x) (MulHomClass.toFunLike.{max u3 u4, u3, u4} (RingHom.{u3, u4} S₁ S₂ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))) S₁ S₂ (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalNonAssocSemiring.toMul.{u4} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₂ (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3)))) (NonUnitalRingHomClass.toMulHomClass.{max u3 u4, u3, u4} (RingHom.{u3, u4} S₁ S₂ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))) S₁ S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₂ (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))) (RingHomClass.toNonUnitalRingHomClass.{max u3 u4, u3, u4} (RingHom.{u3, u4} S₁ S₂ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))) S₁ S₂ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3)) (RingHom.instRingHomClassRingHom.{u3, u4} S₁ S₂ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3)))))) φ (g i)))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.comp_eval₂_hom MvPolynomial.comp_eval₂Homₓ'. -/
 @[simp]
 theorem comp_eval₂Hom [CommSemiring S₂] (f : R →+* S₁) (g : σ → S₁) (φ : S₁ →+* S₂) :
@@ -1862,7 +1862,7 @@ theorem comp_eval₂Hom [CommSemiring S₂] (f : R →+* S₁) (g : σ → S₁)
 lean 3 declaration is
   forall {R : Type.{u1}} {S₁ : Type.{u2}} {S₂ : Type.{u3}} {σ : Type.{u4}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] [_inst_3 : CommSemiring.{u3} S₂] (f : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (g : σ -> S₁) (φ : RingHom.{u2, u3} S₁ S₂ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_3))) (p : MvPolynomial.{u4, u1} σ R _inst_1), Eq.{succ u3} S₂ (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (RingHom.{u2, u3} S₁ S₂ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_3))) (fun (_x : RingHom.{u2, u3} S₁ S₂ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_3))) => S₁ -> S₂) (RingHom.hasCoeToFun.{u2, u3} S₁ S₂ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_3))) φ (coeFn.{max (succ (max u4 u1)) (succ u2), max (succ (max u4 u1)) (succ u2)} (RingHom.{max u4 u1, u2} (MvPolynomial.{u4, u1} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u4, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u4, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u4} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (fun (_x : RingHom.{max u4 u1, u2} (MvPolynomial.{u4, u1} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u4, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u4, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u4} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) => (MvPolynomial.{u4, u1} σ R _inst_1) -> S₁) (RingHom.hasCoeToFun.{max u4 u1, u2} (MvPolynomial.{u4, u1} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u4, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u4, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u4} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (MvPolynomial.eval₂Hom.{u1, u2, u4} R S₁ σ _inst_1 _inst_2 f g) p)) (coeFn.{max (succ (max u4 u1)) (succ u3), max (succ (max u4 u1)) (succ u3)} (RingHom.{max u4 u1, u3} (MvPolynomial.{u4, u1} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u4, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u4, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u4} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_3))) (fun (_x : RingHom.{max u4 u1, u3} (MvPolynomial.{u4, u1} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u4, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u4, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u4} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_3))) => (MvPolynomial.{u4, u1} σ R _inst_1) -> S₂) (RingHom.hasCoeToFun.{max u4 u1, u3} (MvPolynomial.{u4, u1} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u4, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u4, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u4} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_3))) (MvPolynomial.eval₂Hom.{u1, u3, u4} R S₂ σ _inst_1 _inst_3 (RingHom.comp.{u1, u2, u3} R S₁ S₂ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_3)) φ f) (fun (i : σ) => coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (RingHom.{u2, u3} S₁ S₂ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_3))) (fun (_x : RingHom.{u2, u3} S₁ S₂ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_3))) => S₁ -> S₂) (RingHom.hasCoeToFun.{u2, u3} S₁ S₂ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_3))) φ (g i))) p)
 but is expected to have type
-  forall {R : Type.{u2}} {S₁ : Type.{u3}} {S₂ : Type.{u4}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] [_inst_3 : CommSemiring.{u4} S₂] (f : RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (g : σ -> S₁) (φ : RingHom.{u3, u4} S₁ S₂ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))) (p : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : S₁) => S₂) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u2) (succ u1), succ u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (a : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => S₁) a) (MulHomClass.toFunLike.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (MvPolynomial.eval₂Hom.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f g) p)) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (RingHom.{u3, u4} S₁ S₂ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))) S₁ (fun (_x : S₁) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : S₁) => S₂) _x) (MulHomClass.toFunLike.{max u3 u4, u3, u4} (RingHom.{u3, u4} S₁ S₂ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))) S₁ S₂ (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalNonAssocSemiring.toMul.{u4} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₂ (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3)))) (NonUnitalRingHomClass.toMulHomClass.{max u3 u4, u3, u4} (RingHom.{u3, u4} S₁ S₂ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))) S₁ S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₂ (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))) (RingHomClass.toNonUnitalRingHomClass.{max u3 u4, u3, u4} (RingHom.{u3, u4} S₁ S₂ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))) S₁ S₂ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3)) (RingHom.instRingHomClassRingHom.{u3, u4} S₁ S₂ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3)))))) φ (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u2) (succ u1), succ u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => S₁) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (MvPolynomial.eval₂Hom.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f g) p)) (FunLike.coe.{max (max (succ u2) (succ u4)) (succ u1), max (succ u2) (succ u1), succ u4} (RingHom.{max u2 u1, u4} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => S₂) _x) (MulHomClass.toFunLike.{max (max u2 u4) u1, max u2 u1, u4} (RingHom.{max u2 u1, u4} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))) (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u4} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₂ (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3)))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u4) u1, max u2 u1, u4} (RingHom.{max u2 u1, u4} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))) (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₂ (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u4) u1, max u2 u1, u4} (RingHom.{max u2 u1, u4} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))) (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3)) (RingHom.instRingHomClassRingHom.{max u2 u1, u4} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3)))))) (MvPolynomial.eval₂Hom.{u2, u4, u1} R S₂ σ _inst_1 _inst_3 (RingHom.comp.{u2, u3, u4} R S₁ S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3)) φ f) (fun (i : σ) => FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (RingHom.{u3, u4} S₁ S₂ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))) S₁ (fun (_x : S₁) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : S₁) => S₂) _x) (MulHomClass.toFunLike.{max u3 u4, u3, u4} (RingHom.{u3, u4} S₁ S₂ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))) S₁ S₂ (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalNonAssocSemiring.toMul.{u4} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₂ (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3)))) (NonUnitalRingHomClass.toMulHomClass.{max u3 u4, u3, u4} (RingHom.{u3, u4} S₁ S₂ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))) S₁ S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₂ (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))) (RingHomClass.toNonUnitalRingHomClass.{max u3 u4, u3, u4} (RingHom.{u3, u4} S₁ S₂ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))) S₁ S₂ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3)) (RingHom.instRingHomClassRingHom.{u3, u4} S₁ S₂ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3)))))) φ (g i))) p)
+  forall {R : Type.{u2}} {S₁ : Type.{u3}} {S₂ : Type.{u4}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] [_inst_3 : CommSemiring.{u4} S₂] (f : RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (g : σ -> S₁) (φ : RingHom.{u3, u4} S₁ S₂ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))) (p : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : S₁) => S₂) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u2) (succ u1), succ u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (a : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => S₁) a) (MulHomClass.toFunLike.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (MvPolynomial.eval₂Hom.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f g) p)) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (RingHom.{u3, u4} S₁ S₂ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))) S₁ (fun (_x : S₁) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : S₁) => S₂) _x) (MulHomClass.toFunLike.{max u3 u4, u3, u4} (RingHom.{u3, u4} S₁ S₂ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))) S₁ S₂ (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalNonAssocSemiring.toMul.{u4} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₂ (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3)))) (NonUnitalRingHomClass.toMulHomClass.{max u3 u4, u3, u4} (RingHom.{u3, u4} S₁ S₂ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))) S₁ S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₂ (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))) (RingHomClass.toNonUnitalRingHomClass.{max u3 u4, u3, u4} (RingHom.{u3, u4} S₁ S₂ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))) S₁ S₂ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3)) (RingHom.instRingHomClassRingHom.{u3, u4} S₁ S₂ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3)))))) φ (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u2) (succ u1), succ u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => S₁) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (MvPolynomial.eval₂Hom.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f g) p)) (FunLike.coe.{max (max (succ u2) (succ u4)) (succ u1), max (succ u2) (succ u1), succ u4} (RingHom.{max u2 u1, u4} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => S₂) _x) (MulHomClass.toFunLike.{max (max u2 u4) u1, max u2 u1, u4} (RingHom.{max u2 u1, u4} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))) (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u4} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₂ (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3)))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u4) u1, max u2 u1, u4} (RingHom.{max u2 u1, u4} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))) (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₂ (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u4) u1, max u2 u1, u4} (RingHom.{max u2 u1, u4} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))) (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3)) (RingHom.instRingHomClassRingHom.{max u2 u1, u4} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3)))))) (MvPolynomial.eval₂Hom.{u2, u4, u1} R S₂ σ _inst_1 _inst_3 (RingHom.comp.{u2, u3, u4} R S₁ S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3)) φ f) (fun (i : σ) => FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (RingHom.{u3, u4} S₁ S₂ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))) S₁ (fun (_x : S₁) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : S₁) => S₂) _x) (MulHomClass.toFunLike.{max u3 u4, u3, u4} (RingHom.{u3, u4} S₁ S₂ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))) S₁ S₂ (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalNonAssocSemiring.toMul.{u4} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₂ (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3)))) (NonUnitalRingHomClass.toMulHomClass.{max u3 u4, u3, u4} (RingHom.{u3, u4} S₁ S₂ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))) S₁ S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₂ (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))) (RingHomClass.toNonUnitalRingHomClass.{max u3 u4, u3, u4} (RingHom.{u3, u4} S₁ S₂ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))) S₁ S₂ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3)) (RingHom.instRingHomClassRingHom.{u3, u4} S₁ S₂ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3)))))) φ (g i))) p)
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.map_eval₂_hom MvPolynomial.map_eval₂Homₓ'. -/
 theorem map_eval₂Hom [CommSemiring S₂] (f : R →+* S₁) (g : σ → S₁) (φ : S₁ →+* S₂)
     (p : MvPolynomial σ R) : φ (eval₂Hom f g p) = eval₂Hom (φ.comp f) (fun i => φ (g i)) p :=
@@ -1875,7 +1875,7 @@ theorem map_eval₂Hom [CommSemiring S₂] (f : R →+* S₁) (g : σ → S₁)
 lean 3 declaration is
   forall {R : Type.{u1}} {S₁ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] (f : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (g : σ -> S₁) (d : Finsupp.{u3, 0} σ Nat Nat.hasZero) (r : R), Eq.{succ u2} S₁ (coeFn.{max (succ (max u3 u1)) (succ u2), max (succ (max u3 u1)) (succ u2)} (RingHom.{max u3 u1, u2} (MvPolynomial.{u3, u1} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (fun (_x : RingHom.{max u3 u1, u2} (MvPolynomial.{u3, u1} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) => (MvPolynomial.{u3, u1} σ R _inst_1) -> S₁) (RingHom.hasCoeToFun.{max u3 u1, u2} (MvPolynomial.{u3, u1} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (MvPolynomial.eval₂Hom.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 f g) (coeFn.{max (succ u1) (succ (max u3 u1)), max (succ u1) (succ (max u3 u1))} (LinearMap.{u1, u1, u1, max u3 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u3, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u3 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u3, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u3, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u3 u1} R R R (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u3} R σ _inst_1 d) r)) (HMul.hMul.{u2, u2, u2} S₁ S₁ S₁ (instHMul.{u2} S₁ (Distrib.toHasMul.{u2} S₁ (NonUnitalNonAssocSemiring.toDistrib.{u2} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S₁ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)))))) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (fun (_x : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) => R -> S₁) (RingHom.hasCoeToFun.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) f r) (Finsupp.prod.{u3, 0, u2} σ Nat S₁ Nat.hasZero (CommSemiring.toCommMonoid.{u2} S₁ _inst_2) d (fun (i : σ) (k : Nat) => HPow.hPow.{u2, 0, u2} S₁ Nat S₁ (instHPow.{u2, 0} S₁ Nat (Monoid.Pow.{u2} S₁ (MonoidWithZero.toMonoid.{u2} S₁ (Semiring.toMonoidWithZero.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))))) (g i) k)))
 but is expected to have type
-  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] (f : RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (g : σ -> S₁) (d : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (r : R), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => S₁) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (a : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 d) r)) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u2) (succ u1), succ u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => S₁) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (MvPolynomial.eval₂Hom.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f g) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 d) r)) (HMul.hMul.{u3, u3, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) S₁ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) (instHMul.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) (NonUnitalNonAssocSemiring.toMul.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) (Semiring.toNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) _inst_2))))) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) _x) (MulHomClass.toFunLike.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) f r) (Finsupp.prod.{u1, 0, u3} σ Nat S₁ (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) (CommSemiring.toCommMonoid.{u3} S₁ _inst_2) d (fun (i : σ) (k : Nat) => HPow.hPow.{u3, 0, u3} S₁ Nat S₁ (instHPow.{u3, 0} S₁ Nat (Monoid.Pow.{u3} S₁ (MonoidWithZero.toMonoid.{u3} S₁ (Semiring.toMonoidWithZero.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))))) (g i) k)))
+  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] (f : RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (g : σ -> S₁) (d : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (r : R), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => S₁) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (a : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 d) r)) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u2) (succ u1), succ u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => S₁) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (MvPolynomial.eval₂Hom.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f g) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 d) r)) (HMul.hMul.{u3, u3, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) S₁ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) (instHMul.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) (NonUnitalNonAssocSemiring.toMul.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) (Semiring.toNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) _inst_2))))) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) _x) (MulHomClass.toFunLike.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) f r) (Finsupp.prod.{u1, 0, u3} σ Nat S₁ (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) (CommSemiring.toCommMonoid.{u3} S₁ _inst_2) d (fun (i : σ) (k : Nat) => HPow.hPow.{u3, 0, u3} S₁ Nat S₁ (instHPow.{u3, 0} S₁ Nat (Monoid.Pow.{u3} S₁ (MonoidWithZero.toMonoid.{u3} S₁ (Semiring.toMonoidWithZero.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))))) (g i) k)))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval₂_hom_monomial MvPolynomial.eval₂Hom_monomialₓ'. -/
 theorem eval₂Hom_monomial (f : R →+* S₁) (g : σ → S₁) (d : σ →₀ ℕ) (r : R) :
     eval₂Hom f g (monomial d r) = f r * d.Prod fun i k => g i ^ k := by
@@ -1889,7 +1889,7 @@ section
 lean 3 declaration is
   forall {R : Type.{u1}} {S₁ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] {S₂ : Type.{u4}} [_inst_3 : CommSemiring.{u4} S₂] (k : RingHom.{u2, u4} S₁ S₂ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))) (f : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (g : σ -> S₁) (p : MvPolynomial.{u3, u1} σ R _inst_1), Eq.{succ u4} S₂ (coeFn.{max (succ u2) (succ u4), max (succ u2) (succ u4)} (RingHom.{u2, u4} S₁ S₂ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))) (fun (_x : RingHom.{u2, u4} S₁ S₂ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))) => S₁ -> S₂) (RingHom.hasCoeToFun.{u2, u4} S₁ S₂ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))) k (MvPolynomial.eval₂.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 f g p)) (MvPolynomial.eval₂.{u1, u4, u3} R S₂ σ _inst_1 _inst_3 (RingHom.comp.{u1, u2, u4} R S₁ S₂ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3)) k f) (Function.comp.{succ u3, succ u2, succ u4} σ S₁ S₂ (coeFn.{max (succ u2) (succ u4), max (succ u2) (succ u4)} (RingHom.{u2, u4} S₁ S₂ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))) (fun (_x : RingHom.{u2, u4} S₁ S₂ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))) => S₁ -> S₂) (RingHom.hasCoeToFun.{u2, u4} S₁ S₂ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))) k) g) p)
 but is expected to have type
-  forall {R : Type.{u3}} {S₁ : Type.{u4}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u3} R] [_inst_2 : CommSemiring.{u4} S₁] {S₂ : Type.{u2}} [_inst_3 : CommSemiring.{u2} S₂] (k : RingHom.{u4, u2} S₁ S₂ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_3))) (f : RingHom.{u3, u4} R S₁ (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2))) (g : σ -> S₁) (p : MvPolynomial.{u1, u3} σ R _inst_1), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : S₁) => S₂) (MvPolynomial.eval₂.{u3, u4, u1} R S₁ σ _inst_1 _inst_2 f g p)) (FunLike.coe.{max (succ u4) (succ u2), succ u4, succ u2} (RingHom.{u4, u2} S₁ S₂ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_3))) S₁ (fun (_x : S₁) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : S₁) => S₂) _x) (MulHomClass.toFunLike.{max u4 u2, u4, u2} (RingHom.{u4, u2} S₁ S₂ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_3))) S₁ S₂ (NonUnitalNonAssocSemiring.toMul.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))) (NonUnitalNonAssocSemiring.toMul.{u2} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S₂ (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_3)))) (NonUnitalRingHomClass.toMulHomClass.{max u4 u2, u4, u2} (RingHom.{u4, u2} S₁ S₂ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_3))) S₁ S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S₂ (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_3))) (RingHomClass.toNonUnitalRingHomClass.{max u4 u2, u4, u2} (RingHom.{u4, u2} S₁ S₂ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_3))) S₁ S₂ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_3)) (RingHom.instRingHomClassRingHom.{u4, u2} S₁ S₂ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_3)))))) k (MvPolynomial.eval₂.{u3, u4, u1} R S₁ σ _inst_1 _inst_2 f g p)) (MvPolynomial.eval₂.{u3, u2, u1} R S₂ σ _inst_1 _inst_3 (RingHom.comp.{u3, u4, u2} R S₁ S₂ (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_3)) k f) (Function.comp.{succ u1, succ u4, succ u2} σ S₁ S₂ (FunLike.coe.{max (succ u4) (succ u2), succ u4, succ u2} (RingHom.{u4, u2} S₁ S₂ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_3))) S₁ (fun (_x : S₁) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : S₁) => S₂) _x) (MulHomClass.toFunLike.{max u4 u2, u4, u2} (RingHom.{u4, u2} S₁ S₂ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_3))) S₁ S₂ (NonUnitalNonAssocSemiring.toMul.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))) (NonUnitalNonAssocSemiring.toMul.{u2} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S₂ (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_3)))) (NonUnitalRingHomClass.toMulHomClass.{max u4 u2, u4, u2} (RingHom.{u4, u2} S₁ S₂ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_3))) S₁ S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S₂ (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_3))) (RingHomClass.toNonUnitalRingHomClass.{max u4 u2, u4, u2} (RingHom.{u4, u2} S₁ S₂ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_3))) S₁ S₂ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_3)) (RingHom.instRingHomClassRingHom.{u4, u2} S₁ S₂ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_3)))))) k) g) p)
+  forall {R : Type.{u3}} {S₁ : Type.{u4}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u3} R] [_inst_2 : CommSemiring.{u4} S₁] {S₂ : Type.{u2}} [_inst_3 : CommSemiring.{u2} S₂] (k : RingHom.{u4, u2} S₁ S₂ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_3))) (f : RingHom.{u3, u4} R S₁ (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2))) (g : σ -> S₁) (p : MvPolynomial.{u1, u3} σ R _inst_1), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : S₁) => S₂) (MvPolynomial.eval₂.{u3, u4, u1} R S₁ σ _inst_1 _inst_2 f g p)) (FunLike.coe.{max (succ u4) (succ u2), succ u4, succ u2} (RingHom.{u4, u2} S₁ S₂ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_3))) S₁ (fun (_x : S₁) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : S₁) => S₂) _x) (MulHomClass.toFunLike.{max u4 u2, u4, u2} (RingHom.{u4, u2} S₁ S₂ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_3))) S₁ S₂ (NonUnitalNonAssocSemiring.toMul.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))) (NonUnitalNonAssocSemiring.toMul.{u2} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S₂ (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_3)))) (NonUnitalRingHomClass.toMulHomClass.{max u4 u2, u4, u2} (RingHom.{u4, u2} S₁ S₂ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_3))) S₁ S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S₂ (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_3))) (RingHomClass.toNonUnitalRingHomClass.{max u4 u2, u4, u2} (RingHom.{u4, u2} S₁ S₂ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_3))) S₁ S₂ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_3)) (RingHom.instRingHomClassRingHom.{u4, u2} S₁ S₂ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_3)))))) k (MvPolynomial.eval₂.{u3, u4, u1} R S₁ σ _inst_1 _inst_2 f g p)) (MvPolynomial.eval₂.{u3, u2, u1} R S₂ σ _inst_1 _inst_3 (RingHom.comp.{u3, u4, u2} R S₁ S₂ (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_3)) k f) (Function.comp.{succ u1, succ u4, succ u2} σ S₁ S₂ (FunLike.coe.{max (succ u4) (succ u2), succ u4, succ u2} (RingHom.{u4, u2} S₁ S₂ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_3))) S₁ (fun (_x : S₁) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : S₁) => S₂) _x) (MulHomClass.toFunLike.{max u4 u2, u4, u2} (RingHom.{u4, u2} S₁ S₂ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_3))) S₁ S₂ (NonUnitalNonAssocSemiring.toMul.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))) (NonUnitalNonAssocSemiring.toMul.{u2} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S₂ (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_3)))) (NonUnitalRingHomClass.toMulHomClass.{max u4 u2, u4, u2} (RingHom.{u4, u2} S₁ S₂ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_3))) S₁ S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S₂ (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_3))) (RingHomClass.toNonUnitalRingHomClass.{max u4 u2, u4, u2} (RingHom.{u4, u2} S₁ S₂ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_3))) S₁ S₂ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_3)) (RingHom.instRingHomClassRingHom.{u4, u2} S₁ S₂ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_3)))))) k) g) p)
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval₂_comp_left MvPolynomial.eval₂_comp_leftₓ'. -/
 theorem eval₂_comp_left {S₂} [CommSemiring S₂] (k : S₁ →+* S₂) (f : R →+* S₁) (g : σ → S₁) (p) :
     k (eval₂ f g p) = eval₂ (k.comp f) (k ∘ g) p := by
@@ -1984,7 +1984,7 @@ def eval (f : σ → R) : MvPolynomial σ R →+* R :=
 lean 3 declaration is
   forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] (x : σ -> R) (f : MvPolynomial.{u2, u1} σ R _inst_1), Eq.{succ u1} R (coeFn.{max (succ (max u2 u1)) (succ u1), max (succ (max u2 u1)) (succ u1)} (RingHom.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (fun (_x : RingHom.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) => (MvPolynomial.{u2, u1} σ R _inst_1) -> R) (RingHom.hasCoeToFun.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.eval.{u1, u2} R σ _inst_1 x) f) (Finset.sum.{u1, u2} R (Finsupp.{u2, 0} σ Nat Nat.hasZero) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.support.{u1, u2} R σ _inst_1 f) (fun (d : Finsupp.{u2, 0} σ Nat Nat.hasZero) => HMul.hMul.{u1, u1, u1} R R R (instHMul.{u1} R (Distrib.toHasMul.{u1} R (NonUnitalNonAssocSemiring.toDistrib.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))) (MvPolynomial.coeff.{u1, u2} R σ _inst_1 d f) (Finset.prod.{u1, u2} R σ (CommSemiring.toCommMonoid.{u1} R _inst_1) (Finsupp.support.{u2, 0} σ Nat Nat.hasZero d) (fun (i : σ) => HPow.hPow.{u1, 0, u1} R Nat R (instHPow.{u1, 0} R Nat (Monoid.Pow.{u1} R (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (x i) (coeFn.{succ u2, succ u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (fun (_x : Finsupp.{u2, 0} σ Nat Nat.hasZero) => σ -> Nat) (Finsupp.coeFun.{u2, 0} σ Nat Nat.hasZero) d i)))))
 but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] (x : σ -> R) (f : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) f) (FunLike.coe.{max (succ u2) (succ u1), max (succ u2) (succ u1), succ u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) _x) (MulHomClass.toFunLike.{max u2 u1, max u2 u1, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, max u2 u1, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, max u2 u1, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (RingHom.instRingHomClassRingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))))) (MvPolynomial.eval.{u2, u1} R σ _inst_1 x) f) (Finset.sum.{u2, u1} R (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.support.{u2, u1} R σ _inst_1 f) (fun (d : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => HMul.hMul.{u2, u2, u2} R R R (instHMul.{u2} R (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) (MvPolynomial.coeff.{u2, u1} R σ _inst_1 d f) (Finset.prod.{u2, u1} R σ (CommSemiring.toCommMonoid.{u2} R _inst_1) (Finsupp.support.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) d) (fun (i : σ) => HPow.hPow.{u2, 0, u2} R ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : σ) => Nat) i) R (instHPow.{u2, 0} R ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : σ) => Nat) i) (Monoid.Pow.{u2} R (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) (x i) (FunLike.coe.{succ u1, succ u1, 1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) σ (fun (_x : σ) => (fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : σ) => Nat) _x) (Finsupp.funLike.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) d i)))))
+  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] (x : σ -> R) (f : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) f) (FunLike.coe.{max (succ u2) (succ u1), max (succ u2) (succ u1), succ u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) _x) (MulHomClass.toFunLike.{max u2 u1, max u2 u1, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, max u2 u1, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, max u2 u1, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (RingHom.instRingHomClassRingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))))) (MvPolynomial.eval.{u2, u1} R σ _inst_1 x) f) (Finset.sum.{u2, u1} R (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.support.{u2, u1} R σ _inst_1 f) (fun (d : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => HMul.hMul.{u2, u2, u2} R R R (instHMul.{u2} R (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) (MvPolynomial.coeff.{u2, u1} R σ _inst_1 d f) (Finset.prod.{u2, u1} R σ (CommSemiring.toCommMonoid.{u2} R _inst_1) (Finsupp.support.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) d) (fun (i : σ) => HPow.hPow.{u2, 0, u2} R ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : σ) => Nat) i) R (instHPow.{u2, 0} R ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : σ) => Nat) i) (Monoid.Pow.{u2} R (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) (x i) (FunLike.coe.{succ u1, succ u1, 1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) σ (fun (_x : σ) => (fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : σ) => Nat) _x) (Finsupp.funLike.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) d i)))))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval_eq MvPolynomial.eval_eqₓ'. -/
 theorem eval_eq (x : σ → R) (f : MvPolynomial σ R) :
     eval x f = ∑ d in f.support, f.coeff d * ∏ i in d.support, x i ^ d i :=
@@ -1995,7 +1995,7 @@ theorem eval_eq (x : σ → R) (f : MvPolynomial σ R) :
 lean 3 declaration is
   forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_3 : Fintype.{u2} σ] (x : σ -> R) (f : MvPolynomial.{u2, u1} σ R _inst_1), Eq.{succ u1} R (coeFn.{max (succ (max u2 u1)) (succ u1), max (succ (max u2 u1)) (succ u1)} (RingHom.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (fun (_x : RingHom.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) => (MvPolynomial.{u2, u1} σ R _inst_1) -> R) (RingHom.hasCoeToFun.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.eval.{u1, u2} R σ _inst_1 x) f) (Finset.sum.{u1, u2} R (Finsupp.{u2, 0} σ Nat Nat.hasZero) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.support.{u1, u2} R σ _inst_1 f) (fun (d : Finsupp.{u2, 0} σ Nat Nat.hasZero) => HMul.hMul.{u1, u1, u1} R R R (instHMul.{u1} R (Distrib.toHasMul.{u1} R (NonUnitalNonAssocSemiring.toDistrib.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))) (MvPolynomial.coeff.{u1, u2} R σ _inst_1 d f) (Finset.prod.{u1, u2} R σ (CommSemiring.toCommMonoid.{u1} R _inst_1) (Finset.univ.{u2} σ _inst_3) (fun (i : σ) => HPow.hPow.{u1, 0, u1} R Nat R (instHPow.{u1, 0} R Nat (Monoid.Pow.{u1} R (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (x i) (coeFn.{succ u2, succ u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (fun (_x : Finsupp.{u2, 0} σ Nat Nat.hasZero) => σ -> Nat) (Finsupp.coeFun.{u2, 0} σ Nat Nat.hasZero) d i)))))
 but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_3 : Fintype.{u1} σ] (x : σ -> R) (f : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) f) (FunLike.coe.{max (succ u2) (succ u1), max (succ u2) (succ u1), succ u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) _x) (MulHomClass.toFunLike.{max u2 u1, max u2 u1, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, max u2 u1, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, max u2 u1, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (RingHom.instRingHomClassRingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))))) (MvPolynomial.eval.{u2, u1} R σ _inst_1 x) f) (Finset.sum.{u2, u1} R (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.support.{u2, u1} R σ _inst_1 f) (fun (d : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => HMul.hMul.{u2, u2, u2} R R R (instHMul.{u2} R (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) (MvPolynomial.coeff.{u2, u1} R σ _inst_1 d f) (Finset.prod.{u2, u1} R σ (CommSemiring.toCommMonoid.{u2} R _inst_1) (Finset.univ.{u1} σ _inst_3) (fun (i : σ) => HPow.hPow.{u2, 0, u2} R ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : σ) => Nat) i) R (instHPow.{u2, 0} R ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : σ) => Nat) i) (Monoid.Pow.{u2} R (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) (x i) (FunLike.coe.{succ u1, succ u1, 1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) σ (fun (_x : σ) => (fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : σ) => Nat) _x) (Finsupp.funLike.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) d i)))))
+  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_3 : Fintype.{u1} σ] (x : σ -> R) (f : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) f) (FunLike.coe.{max (succ u2) (succ u1), max (succ u2) (succ u1), succ u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) _x) (MulHomClass.toFunLike.{max u2 u1, max u2 u1, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, max u2 u1, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, max u2 u1, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (RingHom.instRingHomClassRingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))))) (MvPolynomial.eval.{u2, u1} R σ _inst_1 x) f) (Finset.sum.{u2, u1} R (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.support.{u2, u1} R σ _inst_1 f) (fun (d : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => HMul.hMul.{u2, u2, u2} R R R (instHMul.{u2} R (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) (MvPolynomial.coeff.{u2, u1} R σ _inst_1 d f) (Finset.prod.{u2, u1} R σ (CommSemiring.toCommMonoid.{u2} R _inst_1) (Finset.univ.{u1} σ _inst_3) (fun (i : σ) => HPow.hPow.{u2, 0, u2} R ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : σ) => Nat) i) R (instHPow.{u2, 0} R ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : σ) => Nat) i) (Monoid.Pow.{u2} R (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) (x i) (FunLike.coe.{succ u1, succ u1, 1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) σ (fun (_x : σ) => (fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : σ) => Nat) _x) (Finsupp.funLike.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) d i)))))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval_eq' MvPolynomial.eval_eq'ₓ'. -/
 theorem eval_eq' [Fintype σ] (x : σ → R) (f : MvPolynomial σ R) :
     eval x f = ∑ d in f.support, f.coeff d * ∏ i, x i ^ d i :=
@@ -2006,7 +2006,7 @@ theorem eval_eq' [Fintype σ] (x : σ → R) (f : MvPolynomial σ R) :
 lean 3 declaration is
   forall {R : Type.{u1}} {σ : Type.{u2}} {a : R} {s : Finsupp.{u2, 0} σ Nat Nat.hasZero} [_inst_1 : CommSemiring.{u1} R] {f : σ -> R}, Eq.{succ u1} R (coeFn.{max (succ (max u2 u1)) (succ u1), max (succ (max u2 u1)) (succ u1)} (RingHom.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (fun (_x : RingHom.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) => (MvPolynomial.{u2, u1} σ R _inst_1) -> R) (RingHom.hasCoeToFun.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.eval.{u1, u2} R σ _inst_1 f) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 s) a)) (HMul.hMul.{u1, u1, u1} R R R (instHMul.{u1} R (Distrib.toHasMul.{u1} R (NonUnitalNonAssocSemiring.toDistrib.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))) a (Finsupp.prod.{u2, 0, u1} σ Nat R Nat.hasZero (CommSemiring.toCommMonoid.{u1} R _inst_1) s (fun (n : σ) (e : Nat) => HPow.hPow.{u1, 0, u1} R Nat R (instHPow.{u1, 0} R Nat (Monoid.Pow.{u1} R (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (f n) e)))
 but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} {a : R} {s : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)} [_inst_1 : CommSemiring.{u2} R] {f : σ -> R}, Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (a : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s) a)) (FunLike.coe.{max (succ u2) (succ u1), max (succ u2) (succ u1), succ u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) _x) (MulHomClass.toFunLike.{max u2 u1, max u2 u1, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, max u2 u1, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, max u2 u1, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (RingHom.instRingHomClassRingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))))) (MvPolynomial.eval.{u2, u1} R σ _inst_1 f) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s) a)) (HMul.hMul.{u2, u2, u2} R R R (instHMul.{u2} R (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) a (Finsupp.prod.{u1, 0, u2} σ Nat R (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) (CommSemiring.toCommMonoid.{u2} R _inst_1) s (fun (n : σ) (e : Nat) => HPow.hPow.{u2, 0, u2} R Nat R (instHPow.{u2, 0} R Nat (Monoid.Pow.{u2} R (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) (f n) e)))
+  forall {R : Type.{u2}} {σ : Type.{u1}} {a : R} {s : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)} [_inst_1 : CommSemiring.{u2} R] {f : σ -> R}, Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (a : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s) a)) (FunLike.coe.{max (succ u2) (succ u1), max (succ u2) (succ u1), succ u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) _x) (MulHomClass.toFunLike.{max u2 u1, max u2 u1, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, max u2 u1, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, max u2 u1, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (RingHom.instRingHomClassRingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))))) (MvPolynomial.eval.{u2, u1} R σ _inst_1 f) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s) a)) (HMul.hMul.{u2, u2, u2} R R R (instHMul.{u2} R (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) a (Finsupp.prod.{u1, 0, u2} σ Nat R (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) (CommSemiring.toCommMonoid.{u2} R _inst_1) s (fun (n : σ) (e : Nat) => HPow.hPow.{u2, 0, u2} R Nat R (instHPow.{u2, 0} R Nat (Monoid.Pow.{u2} R (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) (f n) e)))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval_monomial MvPolynomial.eval_monomialₓ'. -/
 theorem eval_monomial : eval f (monomial s a) = a * s.Prod fun n e => f n ^ e :=
   eval₂_monomial _ _
@@ -2016,7 +2016,7 @@ theorem eval_monomial : eval f (monomial s a) = a * s.Prod fun n e => f n ^ e :=
 lean 3 declaration is
   forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {f : σ -> R} (a : R), Eq.{succ u1} R (coeFn.{max (succ (max u2 u1)) (succ u1), max (succ (max u2 u1)) (succ u1)} (RingHom.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (fun (_x : RingHom.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) => (MvPolynomial.{u2, u1} σ R _inst_1) -> R) (RingHom.hasCoeToFun.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.eval.{u1, u2} R σ _inst_1 f) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (fun (_x : RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (MvPolynomial.C.{u1, u2} R σ _inst_1) a)) a
 but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] {f : σ -> R} (a : R), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (a : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) a)) (FunLike.coe.{max (succ u2) (succ u1), max (succ u2) (succ u1), succ u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) _x) (MulHomClass.toFunLike.{max u2 u1, max u2 u1, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, max u2 u1, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, max u2 u1, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (RingHom.instRingHomClassRingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))))) (MvPolynomial.eval.{u2, u1} R σ _inst_1 f) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) a)) a
+  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] {f : σ -> R} (a : R), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (a : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) a)) (FunLike.coe.{max (succ u2) (succ u1), max (succ u2) (succ u1), succ u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) _x) (MulHomClass.toFunLike.{max u2 u1, max u2 u1, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, max u2 u1, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, max u2 u1, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (RingHom.instRingHomClassRingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))))) (MvPolynomial.eval.{u2, u1} R σ _inst_1 f) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) a)) a
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval_C MvPolynomial.eval_Cₓ'. -/
 @[simp]
 theorem eval_C : ∀ a, eval f (C a) = a :=
@@ -2027,7 +2027,7 @@ theorem eval_C : ∀ a, eval f (C a) = a :=
 lean 3 declaration is
   forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {f : σ -> R} (n : σ), Eq.{succ u1} R (coeFn.{max (succ (max u2 u1)) (succ u1), max (succ (max u2 u1)) (succ u1)} (RingHom.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (fun (_x : RingHom.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) => (MvPolynomial.{u2, u1} σ R _inst_1) -> R) (RingHom.hasCoeToFun.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.eval.{u1, u2} R σ _inst_1 f) (MvPolynomial.X.{u1, u2} R σ _inst_1 n)) (f n)
 but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] {f : σ -> R} (n : σ), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) (MvPolynomial.X.{u2, u1} R σ _inst_1 n)) (FunLike.coe.{max (succ u2) (succ u1), max (succ u2) (succ u1), succ u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) _x) (MulHomClass.toFunLike.{max u2 u1, max u2 u1, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, max u2 u1, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, max u2 u1, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (RingHom.instRingHomClassRingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))))) (MvPolynomial.eval.{u2, u1} R σ _inst_1 f) (MvPolynomial.X.{u2, u1} R σ _inst_1 n)) (f n)
+  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] {f : σ -> R} (n : σ), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) (MvPolynomial.X.{u2, u1} R σ _inst_1 n)) (FunLike.coe.{max (succ u2) (succ u1), max (succ u2) (succ u1), succ u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) _x) (MulHomClass.toFunLike.{max u2 u1, max u2 u1, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, max u2 u1, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, max u2 u1, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (RingHom.instRingHomClassRingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))))) (MvPolynomial.eval.{u2, u1} R σ _inst_1 f) (MvPolynomial.X.{u2, u1} R σ _inst_1 n)) (f n)
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval_X MvPolynomial.eval_Xₓ'. -/
 @[simp]
 theorem eval_X : ∀ n, eval f (X n) = f n :=
@@ -2038,7 +2038,7 @@ theorem eval_X : ∀ n, eval f (X n) = f n :=
 lean 3 declaration is
   forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] (x : σ -> R) (p : MvPolynomial.{u2, u1} σ R _inst_1) (s : R), Eq.{succ u1} R (coeFn.{max (succ (max u2 u1)) (succ u1), max (succ (max u2 u1)) (succ u1)} (RingHom.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (fun (_x : RingHom.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) => (MvPolynomial.{u2, u1} σ R _inst_1) -> R) (RingHom.hasCoeToFun.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.eval.{u1, u2} R σ _inst_1 x) (SMul.smul.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (SMulZeroClass.toHasSmul.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (MulZeroClass.toHasZero.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toMulZeroClass.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))))) (MvPolynomial.smulZeroClass.{u1, u1, u2} R R σ _inst_1 (SMulWithZero.toSmulZeroClass.{u1, u1} R R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (MulZeroClass.toSMulWithZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))))) s p)) (HMul.hMul.{u1, u1, u1} R R R (instHMul.{u1} R (Distrib.toHasMul.{u1} R (NonUnitalNonAssocSemiring.toDistrib.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))) s (coeFn.{max (succ (max u2 u1)) (succ u1), max (succ (max u2 u1)) (succ u1)} (RingHom.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (fun (_x : RingHom.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) => (MvPolynomial.{u2, u1} σ R _inst_1) -> R) (RingHom.hasCoeToFun.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.eval.{u1, u2} R σ _inst_1 x) p))
 but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] (x : σ -> R) (p : MvPolynomial.{u1, u2} σ R _inst_1) (s : R), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) (HSMul.hSMul.{u2, max u2 u1, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (instHSMul.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Algebra.toSMul.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) s p)) (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), succ u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) _x) (MulHomClass.toFunLike.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (RingHom.instRingHomClassRingHom.{max u1 u2, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))))) (MvPolynomial.eval.{u2, u1} R σ _inst_1 x) (HSMul.hSMul.{u2, max u2 u1, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (instHSMul.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Algebra.toSMul.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) s p)) (HMul.hMul.{u2, u2, u2} R ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) R (instHMul.{u2} R (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) s (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), succ u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) _x) (MulHomClass.toFunLike.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (RingHom.instRingHomClassRingHom.{max u1 u2, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))))) (MvPolynomial.eval.{u2, u1} R σ _inst_1 x) p))
+  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] (x : σ -> R) (p : MvPolynomial.{u1, u2} σ R _inst_1) (s : R), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) (HSMul.hSMul.{u2, max u2 u1, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (instHSMul.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Algebra.toSMul.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) s p)) (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), succ u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) _x) (MulHomClass.toFunLike.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (RingHom.instRingHomClassRingHom.{max u1 u2, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))))) (MvPolynomial.eval.{u2, u1} R σ _inst_1 x) (HSMul.hSMul.{u2, max u2 u1, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (instHSMul.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Algebra.toSMul.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) s p)) (HMul.hMul.{u2, u2, u2} R ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) R (instHMul.{u2} R (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) s (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), succ u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) _x) (MulHomClass.toFunLike.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (RingHom.instRingHomClassRingHom.{max u1 u2, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))))) (MvPolynomial.eval.{u2, u1} R σ _inst_1 x) p))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.smul_eval MvPolynomial.smul_evalₓ'. -/
 @[simp]
 theorem smul_eval (x) (p : MvPolynomial σ R) (s) : eval x (s • p) = s * eval x p := by
@@ -2049,7 +2049,7 @@ theorem smul_eval (x) (p : MvPolynomial σ R) (s) : eval x (s • p) = s * eval
 lean 3 declaration is
   forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {ι : Type.{u3}} (s : Finset.{u3} ι) (f : ι -> (MvPolynomial.{u2, u1} σ R _inst_1)) (g : σ -> R), Eq.{succ u1} R (coeFn.{max (succ (max u2 u1)) (succ u1), max (succ (max u2 u1)) (succ u1)} (RingHom.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (fun (_x : RingHom.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) => (MvPolynomial.{u2, u1} σ R _inst_1) -> R) (RingHom.hasCoeToFun.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.eval.{u1, u2} R σ _inst_1 g) (Finset.sum.{max u2 u1, u3} (MvPolynomial.{u2, u1} σ R _inst_1) ι (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) s (fun (i : ι) => f i))) (Finset.sum.{u1, u3} R ι (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) s (fun (i : ι) => coeFn.{max (succ (max u2 u1)) (succ u1), max (succ (max u2 u1)) (succ u1)} (RingHom.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (fun (_x : RingHom.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) => (MvPolynomial.{u2, u1} σ R _inst_1) -> R) (RingHom.hasCoeToFun.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.eval.{u1, u2} R σ _inst_1 g) (f i)))
 but is expected to have type
-  forall {R : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u3} R] {ι : Type.{u2}} (s : Finset.{u2} ι) (f : ι -> (MvPolynomial.{u1, u3} σ R _inst_1)) (g : σ -> R), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u3} σ R _inst_1) => R) (Finset.sum.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) ι (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) s (fun (i : ι) => f i))) (FunLike.coe.{max (succ u3) (succ u1), max (succ u3) (succ u1), succ u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (MvPolynomial.{u1, u3} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u3} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u3} σ R _inst_1) => R) _x) (MulHomClass.toFunLike.{max u3 u1, max u3 u1, u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (MvPolynomial.{u1, u3} σ R _inst_1) R (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{max u3 u1, max u3 u1, u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (MvPolynomial.{u1, u3} σ R _inst_1) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{max u3 u1, max u3 u1, u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (MvPolynomial.{u1, u3} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (RingHom.instRingHomClassRingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))))) (MvPolynomial.eval.{u3, u1} R σ _inst_1 g) (Finset.sum.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) ι (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) s (fun (i : ι) => f i))) (Finset.sum.{u3, u2} R ι (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) s (fun (i : ι) => FunLike.coe.{max (succ u3) (succ u1), max (succ u3) (succ u1), succ u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (MvPolynomial.{u1, u3} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u3} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u3} σ R _inst_1) => R) _x) (MulHomClass.toFunLike.{max u3 u1, max u3 u1, u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (MvPolynomial.{u1, u3} σ R _inst_1) R (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{max u3 u1, max u3 u1, u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (MvPolynomial.{u1, u3} σ R _inst_1) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{max u3 u1, max u3 u1, u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (MvPolynomial.{u1, u3} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (RingHom.instRingHomClassRingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))))) (MvPolynomial.eval.{u3, u1} R σ _inst_1 g) (f i)))
+  forall {R : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u3} R] {ι : Type.{u2}} (s : Finset.{u2} ι) (f : ι -> (MvPolynomial.{u1, u3} σ R _inst_1)) (g : σ -> R), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u3} σ R _inst_1) => R) (Finset.sum.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) ι (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) s (fun (i : ι) => f i))) (FunLike.coe.{max (succ u3) (succ u1), max (succ u3) (succ u1), succ u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (MvPolynomial.{u1, u3} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u3} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u3} σ R _inst_1) => R) _x) (MulHomClass.toFunLike.{max u3 u1, max u3 u1, u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (MvPolynomial.{u1, u3} σ R _inst_1) R (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{max u3 u1, max u3 u1, u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (MvPolynomial.{u1, u3} σ R _inst_1) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{max u3 u1, max u3 u1, u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (MvPolynomial.{u1, u3} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (RingHom.instRingHomClassRingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))))) (MvPolynomial.eval.{u3, u1} R σ _inst_1 g) (Finset.sum.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) ι (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) s (fun (i : ι) => f i))) (Finset.sum.{u3, u2} R ι (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) s (fun (i : ι) => FunLike.coe.{max (succ u3) (succ u1), max (succ u3) (succ u1), succ u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (MvPolynomial.{u1, u3} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u3} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u3} σ R _inst_1) => R) _x) (MulHomClass.toFunLike.{max u3 u1, max u3 u1, u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (MvPolynomial.{u1, u3} σ R _inst_1) R (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{max u3 u1, max u3 u1, u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (MvPolynomial.{u1, u3} σ R _inst_1) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{max u3 u1, max u3 u1, u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (MvPolynomial.{u1, u3} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (RingHom.instRingHomClassRingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))))) (MvPolynomial.eval.{u3, u1} R σ _inst_1 g) (f i)))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval_sum MvPolynomial.eval_sumₓ'. -/
 theorem eval_sum {ι : Type _} (s : Finset ι) (f : ι → MvPolynomial σ R) (g : σ → R) :
     eval g (∑ i in s, f i) = ∑ i in s, eval g (f i) :=
@@ -2060,7 +2060,7 @@ theorem eval_sum {ι : Type _} (s : Finset ι) (f : ι → MvPolynomial σ R) (g
 lean 3 declaration is
   forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {ι : Type.{u3}} (s : Finset.{u3} ι) (f : ι -> (MvPolynomial.{u2, u1} σ R _inst_1)) (g : σ -> R), Eq.{succ u1} R (coeFn.{max (succ (max u2 u1)) (succ u1), max (succ (max u2 u1)) (succ u1)} (RingHom.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (fun (_x : RingHom.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) => (MvPolynomial.{u2, u1} σ R _inst_1) -> R) (RingHom.hasCoeToFun.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.eval.{u1, u2} R σ _inst_1 g) (Finset.prod.{max u2 u1, u3} (MvPolynomial.{u2, u1} σ R _inst_1) ι (CommSemiring.toCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) s (fun (i : ι) => f i))) (Finset.prod.{u1, u3} R ι (CommSemiring.toCommMonoid.{u1} R _inst_1) s (fun (i : ι) => coeFn.{max (succ (max u2 u1)) (succ u1), max (succ (max u2 u1)) (succ u1)} (RingHom.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (fun (_x : RingHom.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) => (MvPolynomial.{u2, u1} σ R _inst_1) -> R) (RingHom.hasCoeToFun.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.eval.{u1, u2} R σ _inst_1 g) (f i)))
 but is expected to have type
-  forall {R : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u3} R] {ι : Type.{u2}} (s : Finset.{u2} ι) (f : ι -> (MvPolynomial.{u1, u3} σ R _inst_1)) (g : σ -> R), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u3} σ R _inst_1) => R) (Finset.prod.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) ι (CommSemiring.toCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) s (fun (i : ι) => f i))) (FunLike.coe.{max (succ u3) (succ u1), max (succ u3) (succ u1), succ u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (MvPolynomial.{u1, u3} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u3} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u3} σ R _inst_1) => R) _x) (MulHomClass.toFunLike.{max u3 u1, max u3 u1, u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (MvPolynomial.{u1, u3} σ R _inst_1) R (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{max u3 u1, max u3 u1, u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (MvPolynomial.{u1, u3} σ R _inst_1) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{max u3 u1, max u3 u1, u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (MvPolynomial.{u1, u3} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (RingHom.instRingHomClassRingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))))) (MvPolynomial.eval.{u3, u1} R σ _inst_1 g) (Finset.prod.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) ι (CommSemiring.toCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) s (fun (i : ι) => f i))) (Finset.prod.{u3, u2} R ι (CommSemiring.toCommMonoid.{u3} R _inst_1) s (fun (i : ι) => FunLike.coe.{max (succ u3) (succ u1), max (succ u3) (succ u1), succ u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (MvPolynomial.{u1, u3} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u3} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u3} σ R _inst_1) => R) _x) (MulHomClass.toFunLike.{max u3 u1, max u3 u1, u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (MvPolynomial.{u1, u3} σ R _inst_1) R (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{max u3 u1, max u3 u1, u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (MvPolynomial.{u1, u3} σ R _inst_1) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{max u3 u1, max u3 u1, u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (MvPolynomial.{u1, u3} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (RingHom.instRingHomClassRingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))))) (MvPolynomial.eval.{u3, u1} R σ _inst_1 g) (f i)))
+  forall {R : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u3} R] {ι : Type.{u2}} (s : Finset.{u2} ι) (f : ι -> (MvPolynomial.{u1, u3} σ R _inst_1)) (g : σ -> R), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u3} σ R _inst_1) => R) (Finset.prod.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) ι (CommSemiring.toCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) s (fun (i : ι) => f i))) (FunLike.coe.{max (succ u3) (succ u1), max (succ u3) (succ u1), succ u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (MvPolynomial.{u1, u3} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u3} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u3} σ R _inst_1) => R) _x) (MulHomClass.toFunLike.{max u3 u1, max u3 u1, u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (MvPolynomial.{u1, u3} σ R _inst_1) R (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{max u3 u1, max u3 u1, u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (MvPolynomial.{u1, u3} σ R _inst_1) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{max u3 u1, max u3 u1, u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (MvPolynomial.{u1, u3} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (RingHom.instRingHomClassRingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))))) (MvPolynomial.eval.{u3, u1} R σ _inst_1 g) (Finset.prod.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) ι (CommSemiring.toCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) s (fun (i : ι) => f i))) (Finset.prod.{u3, u2} R ι (CommSemiring.toCommMonoid.{u3} R _inst_1) s (fun (i : ι) => FunLike.coe.{max (succ u3) (succ u1), max (succ u3) (succ u1), succ u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (MvPolynomial.{u1, u3} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u3} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u3} σ R _inst_1) => R) _x) (MulHomClass.toFunLike.{max u3 u1, max u3 u1, u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (MvPolynomial.{u1, u3} σ R _inst_1) R (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{max u3 u1, max u3 u1, u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (MvPolynomial.{u1, u3} σ R _inst_1) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{max u3 u1, max u3 u1, u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (MvPolynomial.{u1, u3} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (RingHom.instRingHomClassRingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))))) (MvPolynomial.eval.{u3, u1} R σ _inst_1 g) (f i)))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval_prod MvPolynomial.eval_prodₓ'. -/
 @[to_additive]
 theorem eval_prod {ι : Type _} (s : Finset ι) (f : ι → MvPolynomial σ R) (g : σ → R) :
@@ -2073,7 +2073,7 @@ theorem eval_prod {ι : Type _} (s : Finset ι) (f : ι → MvPolynomial σ R) (
 lean 3 declaration is
   forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {τ : Type.{u3}} (f : σ -> (MvPolynomial.{u3, u1} τ R _inst_1)) (g : τ -> R) (p : MvPolynomial.{u2, u1} σ R _inst_1), Eq.{succ u1} R (coeFn.{max (succ (max u2 u1)) (succ u1), max (succ (max u2 u1)) (succ u1)} (RingHom.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (fun (_x : RingHom.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) => (MvPolynomial.{u2, u1} σ R _inst_1) -> R) (RingHom.hasCoeToFun.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.eval.{u1, u2} R σ _inst_1 (Function.comp.{succ u2, max (succ u3) (succ u1), succ u1} σ (MvPolynomial.{u3, u1} τ R _inst_1) R (coeFn.{max (succ (max u3 u1)) (succ u1), max (succ (max u3 u1)) (succ u1)} (RingHom.{max u3 u1, u1} (MvPolynomial.{u3, u1} τ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} τ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} τ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R τ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (fun (_x : RingHom.{max u3 u1, u1} (MvPolynomial.{u3, u1} τ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} τ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} τ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R τ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) => (MvPolynomial.{u3, u1} τ R _inst_1) -> R) (RingHom.hasCoeToFun.{max u3 u1, u1} (MvPolynomial.{u3, u1} τ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} τ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} τ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R τ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.eval.{u1, u3} R τ _inst_1 g)) f)) p) (coeFn.{max (succ (max u3 u1)) (succ u1), max (succ (max u3 u1)) (succ u1)} (RingHom.{max u3 u1, u1} (MvPolynomial.{u3, u1} τ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} τ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} τ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R τ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (fun (_x : RingHom.{max u3 u1, u1} (MvPolynomial.{u3, u1} τ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} τ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} τ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R τ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) => (MvPolynomial.{u3, u1} τ R _inst_1) -> R) (RingHom.hasCoeToFun.{max u3 u1, u1} (MvPolynomial.{u3, u1} τ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} τ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} τ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R τ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.eval.{u1, u3} R τ _inst_1 g) (MvPolynomial.eval₂.{u1, max u3 u1, u2} R (MvPolynomial.{u3, u1} τ R _inst_1) σ _inst_1 (MvPolynomial.commSemiring.{u1, u3} R τ _inst_1) (MvPolynomial.C.{u1, u3} R τ _inst_1) f p))
 but is expected to have type
-  forall {R : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u3} R] {τ : Type.{u2}} (f : σ -> (MvPolynomial.{u2, u3} τ R _inst_1)) (g : τ -> R) (p : MvPolynomial.{u1, u3} σ R _inst_1), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u3} σ R _inst_1) => R) p) (FunLike.coe.{max (succ u3) (succ u1), max (succ u3) (succ u1), succ u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (MvPolynomial.{u1, u3} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u3} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u3} σ R _inst_1) => R) _x) (MulHomClass.toFunLike.{max u3 u1, max u3 u1, u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (MvPolynomial.{u1, u3} σ R _inst_1) R (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{max u3 u1, max u3 u1, u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (MvPolynomial.{u1, u3} σ R _inst_1) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{max u3 u1, max u3 u1, u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (MvPolynomial.{u1, u3} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (RingHom.instRingHomClassRingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))))) (MvPolynomial.eval.{u3, u1} R σ _inst_1 (Function.comp.{succ u1, max (succ u3) (succ u2), succ u3} σ (MvPolynomial.{u2, u3} τ R _inst_1) R (FunLike.coe.{max (succ u3) (succ u2), max (succ u3) (succ u2), succ u3} (RingHom.{max u3 u2, u3} (MvPolynomial.{u2, u3} τ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} τ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R τ _inst_1))) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (MvPolynomial.{u2, u3} τ R _inst_1) (fun (_x : MvPolynomial.{u2, u3} τ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u2, u3} τ R _inst_1) => R) _x) (MulHomClass.toFunLike.{max u3 u2, max u3 u2, u3} (RingHom.{max u3 u2, u3} (MvPolynomial.{u2, u3} τ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} τ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R τ _inst_1))) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (MvPolynomial.{u2, u3} τ R _inst_1) R (NonUnitalNonAssocSemiring.toMul.{max u3 u2} (MvPolynomial.{u2, u3} τ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} τ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} τ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R τ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{max u3 u2, max u3 u2, u3} (RingHom.{max u3 u2, u3} (MvPolynomial.{u2, u3} τ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} τ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R τ _inst_1))) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (MvPolynomial.{u2, u3} τ R _inst_1) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} τ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} τ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R τ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{max u3 u2, max u3 u2, u3} (RingHom.{max u3 u2, u3} (MvPolynomial.{u2, u3} τ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} τ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R τ _inst_1))) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (MvPolynomial.{u2, u3} τ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} τ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R τ _inst_1))) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (RingHom.instRingHomClassRingHom.{max u3 u2, u3} (MvPolynomial.{u2, u3} τ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} τ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R τ _inst_1))) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))))) (MvPolynomial.eval.{u3, u2} R τ _inst_1 g)) f)) p) (FunLike.coe.{max (succ u3) (succ u2), max (succ u3) (succ u2), succ u3} (RingHom.{max u3 u2, u3} (MvPolynomial.{u2, u3} τ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} τ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R τ _inst_1))) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (MvPolynomial.{u2, u3} τ R _inst_1) (fun (_x : MvPolynomial.{u2, u3} τ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u2, u3} τ R _inst_1) => R) _x) (MulHomClass.toFunLike.{max u3 u2, max u3 u2, u3} (RingHom.{max u3 u2, u3} (MvPolynomial.{u2, u3} τ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} τ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R τ _inst_1))) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (MvPolynomial.{u2, u3} τ R _inst_1) R (NonUnitalNonAssocSemiring.toMul.{max u3 u2} (MvPolynomial.{u2, u3} τ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} τ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} τ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R τ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{max u3 u2, max u3 u2, u3} (RingHom.{max u3 u2, u3} (MvPolynomial.{u2, u3} τ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} τ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R τ _inst_1))) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (MvPolynomial.{u2, u3} τ R _inst_1) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} τ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} τ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R τ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{max u3 u2, max u3 u2, u3} (RingHom.{max u3 u2, u3} (MvPolynomial.{u2, u3} τ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} τ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R τ _inst_1))) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (MvPolynomial.{u2, u3} τ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} τ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R τ _inst_1))) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (RingHom.instRingHomClassRingHom.{max u3 u2, u3} (MvPolynomial.{u2, u3} τ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} τ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R τ _inst_1))) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))))) (MvPolynomial.eval.{u3, u2} R τ _inst_1 g) (MvPolynomial.eval₂.{u3, max u3 u2, u1} R (MvPolynomial.{u2, u3} τ R _inst_1) σ _inst_1 (MvPolynomial.commSemiring.{u3, u2} R τ _inst_1) (MvPolynomial.C.{u3, u2} R τ _inst_1) f p))
+  forall {R : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u3} R] {τ : Type.{u2}} (f : σ -> (MvPolynomial.{u2, u3} τ R _inst_1)) (g : τ -> R) (p : MvPolynomial.{u1, u3} σ R _inst_1), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u3} σ R _inst_1) => R) p) (FunLike.coe.{max (succ u3) (succ u1), max (succ u3) (succ u1), succ u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (MvPolynomial.{u1, u3} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u3} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u3} σ R _inst_1) => R) _x) (MulHomClass.toFunLike.{max u3 u1, max u3 u1, u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (MvPolynomial.{u1, u3} σ R _inst_1) R (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{max u3 u1, max u3 u1, u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (MvPolynomial.{u1, u3} σ R _inst_1) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{max u3 u1, max u3 u1, u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (MvPolynomial.{u1, u3} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (RingHom.instRingHomClassRingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))))) (MvPolynomial.eval.{u3, u1} R σ _inst_1 (Function.comp.{succ u1, max (succ u3) (succ u2), succ u3} σ (MvPolynomial.{u2, u3} τ R _inst_1) R (FunLike.coe.{max (succ u3) (succ u2), max (succ u3) (succ u2), succ u3} (RingHom.{max u3 u2, u3} (MvPolynomial.{u2, u3} τ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} τ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R τ _inst_1))) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (MvPolynomial.{u2, u3} τ R _inst_1) (fun (_x : MvPolynomial.{u2, u3} τ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u2, u3} τ R _inst_1) => R) _x) (MulHomClass.toFunLike.{max u3 u2, max u3 u2, u3} (RingHom.{max u3 u2, u3} (MvPolynomial.{u2, u3} τ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} τ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R τ _inst_1))) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (MvPolynomial.{u2, u3} τ R _inst_1) R (NonUnitalNonAssocSemiring.toMul.{max u3 u2} (MvPolynomial.{u2, u3} τ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} τ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} τ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R τ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{max u3 u2, max u3 u2, u3} (RingHom.{max u3 u2, u3} (MvPolynomial.{u2, u3} τ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} τ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R τ _inst_1))) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (MvPolynomial.{u2, u3} τ R _inst_1) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} τ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} τ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R τ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{max u3 u2, max u3 u2, u3} (RingHom.{max u3 u2, u3} (MvPolynomial.{u2, u3} τ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} τ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R τ _inst_1))) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (MvPolynomial.{u2, u3} τ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} τ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R τ _inst_1))) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (RingHom.instRingHomClassRingHom.{max u3 u2, u3} (MvPolynomial.{u2, u3} τ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} τ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R τ _inst_1))) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))))) (MvPolynomial.eval.{u3, u2} R τ _inst_1 g)) f)) p) (FunLike.coe.{max (succ u3) (succ u2), max (succ u3) (succ u2), succ u3} (RingHom.{max u3 u2, u3} (MvPolynomial.{u2, u3} τ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} τ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R τ _inst_1))) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (MvPolynomial.{u2, u3} τ R _inst_1) (fun (_x : MvPolynomial.{u2, u3} τ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u2, u3} τ R _inst_1) => R) _x) (MulHomClass.toFunLike.{max u3 u2, max u3 u2, u3} (RingHom.{max u3 u2, u3} (MvPolynomial.{u2, u3} τ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} τ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R τ _inst_1))) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (MvPolynomial.{u2, u3} τ R _inst_1) R (NonUnitalNonAssocSemiring.toMul.{max u3 u2} (MvPolynomial.{u2, u3} τ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} τ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} τ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R τ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{max u3 u2, max u3 u2, u3} (RingHom.{max u3 u2, u3} (MvPolynomial.{u2, u3} τ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} τ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R τ _inst_1))) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (MvPolynomial.{u2, u3} τ R _inst_1) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} τ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} τ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R τ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{max u3 u2, max u3 u2, u3} (RingHom.{max u3 u2, u3} (MvPolynomial.{u2, u3} τ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} τ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R τ _inst_1))) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (MvPolynomial.{u2, u3} τ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} τ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R τ _inst_1))) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (RingHom.instRingHomClassRingHom.{max u3 u2, u3} (MvPolynomial.{u2, u3} τ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} τ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R τ _inst_1))) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))))) (MvPolynomial.eval.{u3, u2} R τ _inst_1 g) (MvPolynomial.eval₂.{u3, max u3 u2, u1} R (MvPolynomial.{u2, u3} τ R _inst_1) σ _inst_1 (MvPolynomial.commSemiring.{u3, u2} R τ _inst_1) (MvPolynomial.C.{u3, u2} R τ _inst_1) f p))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval_assoc MvPolynomial.eval_assocₓ'. -/
 theorem eval_assoc {τ} (f : σ → MvPolynomial τ R) (g : τ → R) (p : MvPolynomial σ R) :
     eval (eval g ∘ f) p = eval g (eval₂ C f p) :=
@@ -2087,7 +2087,7 @@ theorem eval_assoc {τ} (f : σ → MvPolynomial τ R) (g : τ → R) (p : MvPol
 lean 3 declaration is
   forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] (p : MvPolynomial.{u2, u1} σ R _inst_1) (g : σ -> R), Eq.{succ u1} R (MvPolynomial.eval₂.{u1, u1, u2} R R σ _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) g p) (coeFn.{max (succ (max u2 u1)) (succ u1), max (succ (max u2 u1)) (succ u1)} (RingHom.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (fun (_x : RingHom.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) => (MvPolynomial.{u2, u1} σ R _inst_1) -> R) (RingHom.hasCoeToFun.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.eval.{u1, u2} R σ _inst_1 g) p)
 but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] {p : σ -> R} (g : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{succ u2} R (MvPolynomial.eval₂.{u2, u2, u1} R R σ _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) p g) (FunLike.coe.{max (succ u2) (succ u1), max (succ u2) (succ u1), succ u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) _x) (MulHomClass.toFunLike.{max u2 u1, max u2 u1, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, max u2 u1, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, max u2 u1, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (RingHom.instRingHomClassRingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))))) (MvPolynomial.eval.{u2, u1} R σ _inst_1 p) g)
+  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] {p : σ -> R} (g : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{succ u2} R (MvPolynomial.eval₂.{u2, u2, u1} R R σ _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) p g) (FunLike.coe.{max (succ u2) (succ u1), max (succ u2) (succ u1), succ u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) _x) (MulHomClass.toFunLike.{max u2 u1, max u2 u1, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, max u2 u1, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, max u2 u1, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (RingHom.instRingHomClassRingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))))) (MvPolynomial.eval.{u2, u1} R σ _inst_1 p) g)
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval₂_id MvPolynomial.eval₂_idₓ'. -/
 @[simp]
 theorem eval₂_id (p : MvPolynomial σ R) (g : σ → R) : eval₂ (RingHom.id _) g p = eval g p :=
@@ -2098,7 +2098,7 @@ theorem eval₂_id (p : MvPolynomial σ R) (g : σ → R) : eval₂ (RingHom.id
 lean 3 declaration is
   forall {R : Type.{u1}} {S₁ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] {τ : Type.{u4}} (f : RingHom.{u1, max u4 u2} R (MvPolynomial.{u4, u2} τ S₁ _inst_2) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u4, u2} τ S₁ _inst_2) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u4, u2} τ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u4} S₁ τ _inst_2)))) (g : σ -> (MvPolynomial.{u4, u2} τ S₁ _inst_2)) (p : MvPolynomial.{u3, u1} σ R _inst_1) (x : τ -> S₁), Eq.{succ u2} S₁ (coeFn.{max (succ (max u4 u2)) (succ u2), max (succ (max u4 u2)) (succ u2)} (RingHom.{max u4 u2, u2} (MvPolynomial.{u4, u2} τ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u4, u2} τ S₁ _inst_2) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u4, u2} τ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u4} S₁ τ _inst_2))) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (fun (_x : RingHom.{max u4 u2, u2} (MvPolynomial.{u4, u2} τ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u4, u2} τ S₁ _inst_2) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u4, u2} τ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u4} S₁ τ _inst_2))) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) => (MvPolynomial.{u4, u2} τ S₁ _inst_2) -> S₁) (RingHom.hasCoeToFun.{max u4 u2, u2} (MvPolynomial.{u4, u2} τ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u4, u2} τ S₁ _inst_2) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u4, u2} τ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u4} S₁ τ _inst_2))) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (MvPolynomial.eval.{u2, u4} S₁ τ _inst_2 x) (MvPolynomial.eval₂.{u1, max u4 u2, u3} R (MvPolynomial.{u4, u2} τ S₁ _inst_2) σ _inst_1 (MvPolynomial.commSemiring.{u2, u4} S₁ τ _inst_2) f g p)) (MvPolynomial.eval₂.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 (RingHom.comp.{u1, max u4 u2, u2} R (MvPolynomial.{u4, u2} τ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u4, u2} τ S₁ _inst_2) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u4, u2} τ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u4} S₁ τ _inst_2))) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (MvPolynomial.eval.{u2, u4} S₁ τ _inst_2 x) f) (fun (s : σ) => coeFn.{max (succ (max u4 u2)) (succ u2), max (succ (max u4 u2)) (succ u2)} (RingHom.{max u4 u2, u2} (MvPolynomial.{u4, u2} τ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u4, u2} τ S₁ _inst_2) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u4, u2} τ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u4} S₁ τ _inst_2))) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (fun (_x : RingHom.{max u4 u2, u2} (MvPolynomial.{u4, u2} τ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u4, u2} τ S₁ _inst_2) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u4, u2} τ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u4} S₁ τ _inst_2))) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) => (MvPolynomial.{u4, u2} τ S₁ _inst_2) -> S₁) (RingHom.hasCoeToFun.{max u4 u2, u2} (MvPolynomial.{u4, u2} τ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u4, u2} τ S₁ _inst_2) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u4, u2} τ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u4} S₁ τ _inst_2))) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (MvPolynomial.eval.{u2, u4} S₁ τ _inst_2 x) (g s)) p)
 but is expected to have type
-  forall {R : Type.{u4}} {S₁ : Type.{u1}} {σ : Type.{u3}} {_inst_1 : Type.{u2}} {_inst_2 : _inst_1 -> σ} [τ : CommSemiring.{u4} R] [f : CommSemiring.{u3} σ] (g : RingHom.{u4, max u3 u2} R (MvPolynomial.{u2, u3} _inst_1 σ f) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R τ)) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} _inst_1 σ f) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} _inst_1 σ f) (MvPolynomial.commSemiring.{u3, u2} σ _inst_1 f)))) (p : S₁ -> (MvPolynomial.{u2, u3} _inst_1 σ f)) (x : MvPolynomial.{u1, u4} S₁ R τ), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u2, u3} _inst_1 σ f) => σ) (MvPolynomial.eval₂.{u4, max u2 u3, u1} R (MvPolynomial.{u2, u3} _inst_1 σ f) S₁ τ (MvPolynomial.commSemiring.{u3, u2} σ _inst_1 f) g p x)) (FunLike.coe.{max (succ u2) (succ u3), max (succ u2) (succ u3), succ u3} (RingHom.{max u3 u2, u3} (MvPolynomial.{u2, u3} _inst_1 σ f) σ (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} _inst_1 σ f) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} _inst_1 σ f) (MvPolynomial.commSemiring.{u3, u2} σ _inst_1 f))) (Semiring.toNonAssocSemiring.{u3} σ (CommSemiring.toSemiring.{u3} σ f))) (MvPolynomial.{u2, u3} _inst_1 σ f) (fun (_x : MvPolynomial.{u2, u3} _inst_1 σ f) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u2, u3} _inst_1 σ f) => σ) _x) (MulHomClass.toFunLike.{max u2 u3, max u2 u3, u3} (RingHom.{max u3 u2, u3} (MvPolynomial.{u2, u3} _inst_1 σ f) σ (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} _inst_1 σ f) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} _inst_1 σ f) (MvPolynomial.commSemiring.{u3, u2} σ _inst_1 f))) (Semiring.toNonAssocSemiring.{u3} σ (CommSemiring.toSemiring.{u3} σ f))) (MvPolynomial.{u2, u3} _inst_1 σ f) σ (NonUnitalNonAssocSemiring.toMul.{max u2 u3} (MvPolynomial.{u2, u3} _inst_1 σ f) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u3} (MvPolynomial.{u2, u3} _inst_1 σ f) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} _inst_1 σ f) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} _inst_1 σ f) (MvPolynomial.commSemiring.{u3, u2} σ _inst_1 f))))) (NonUnitalNonAssocSemiring.toMul.{u3} σ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} σ (Semiring.toNonAssocSemiring.{u3} σ (CommSemiring.toSemiring.{u3} σ f)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u3, max u2 u3, u3} (RingHom.{max u3 u2, u3} (MvPolynomial.{u2, u3} _inst_1 σ f) σ (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} _inst_1 σ f) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} _inst_1 σ f) (MvPolynomial.commSemiring.{u3, u2} σ _inst_1 f))) (Semiring.toNonAssocSemiring.{u3} σ (CommSemiring.toSemiring.{u3} σ f))) (MvPolynomial.{u2, u3} _inst_1 σ f) σ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u3} (MvPolynomial.{u2, u3} _inst_1 σ f) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} _inst_1 σ f) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} _inst_1 σ f) (MvPolynomial.commSemiring.{u3, u2} σ _inst_1 f)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} σ (Semiring.toNonAssocSemiring.{u3} σ (CommSemiring.toSemiring.{u3} σ f))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u3, max u2 u3, u3} (RingHom.{max u3 u2, u3} (MvPolynomial.{u2, u3} _inst_1 σ f) σ (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} _inst_1 σ f) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} _inst_1 σ f) (MvPolynomial.commSemiring.{u3, u2} σ _inst_1 f))) (Semiring.toNonAssocSemiring.{u3} σ (CommSemiring.toSemiring.{u3} σ f))) (MvPolynomial.{u2, u3} _inst_1 σ f) σ (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} _inst_1 σ f) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} _inst_1 σ f) (MvPolynomial.commSemiring.{u3, u2} σ _inst_1 f))) (Semiring.toNonAssocSemiring.{u3} σ (CommSemiring.toSemiring.{u3} σ f)) (RingHom.instRingHomClassRingHom.{max u2 u3, u3} (MvPolynomial.{u2, u3} _inst_1 σ f) σ (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} _inst_1 σ f) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} _inst_1 σ f) (MvPolynomial.commSemiring.{u3, u2} σ _inst_1 f))) (Semiring.toNonAssocSemiring.{u3} σ (CommSemiring.toSemiring.{u3} σ f)))))) (MvPolynomial.eval.{u3, u2} σ _inst_1 f _inst_2) (MvPolynomial.eval₂.{u4, max u2 u3, u1} R (MvPolynomial.{u2, u3} _inst_1 σ f) S₁ τ (MvPolynomial.commSemiring.{u3, u2} σ _inst_1 f) g p x)) (MvPolynomial.eval₂.{u4, u3, u1} R σ S₁ τ f (RingHom.comp.{u4, max u3 u2, u3} R (MvPolynomial.{u2, u3} _inst_1 σ f) σ (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R τ)) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} _inst_1 σ f) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} _inst_1 σ f) (MvPolynomial.commSemiring.{u3, u2} σ _inst_1 f))) (Semiring.toNonAssocSemiring.{u3} σ (CommSemiring.toSemiring.{u3} σ f)) (MvPolynomial.eval.{u3, u2} σ _inst_1 f _inst_2) g) (fun (s : S₁) => FunLike.coe.{max (succ u3) (succ u2), max (succ u3) (succ u2), succ u3} (RingHom.{max u3 u2, u3} (MvPolynomial.{u2, u3} _inst_1 σ f) σ (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} _inst_1 σ f) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} _inst_1 σ f) (MvPolynomial.commSemiring.{u3, u2} σ _inst_1 f))) (Semiring.toNonAssocSemiring.{u3} σ (CommSemiring.toSemiring.{u3} σ f))) (MvPolynomial.{u2, u3} _inst_1 σ f) (fun (_x : MvPolynomial.{u2, u3} _inst_1 σ f) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u2, u3} _inst_1 σ f) => σ) _x) (MulHomClass.toFunLike.{max u3 u2, max u3 u2, u3} (RingHom.{max u3 u2, u3} (MvPolynomial.{u2, u3} _inst_1 σ f) σ (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} _inst_1 σ f) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} _inst_1 σ f) (MvPolynomial.commSemiring.{u3, u2} σ _inst_1 f))) (Semiring.toNonAssocSemiring.{u3} σ (CommSemiring.toSemiring.{u3} σ f))) (MvPolynomial.{u2, u3} _inst_1 σ f) σ (NonUnitalNonAssocSemiring.toMul.{max u3 u2} (MvPolynomial.{u2, u3} _inst_1 σ f) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} _inst_1 σ f) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} _inst_1 σ f) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} _inst_1 σ f) (MvPolynomial.commSemiring.{u3, u2} σ _inst_1 f))))) (NonUnitalNonAssocSemiring.toMul.{u3} σ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} σ (Semiring.toNonAssocSemiring.{u3} σ (CommSemiring.toSemiring.{u3} σ f)))) (NonUnitalRingHomClass.toMulHomClass.{max u3 u2, max u3 u2, u3} (RingHom.{max u3 u2, u3} (MvPolynomial.{u2, u3} _inst_1 σ f) σ (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} _inst_1 σ f) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} _inst_1 σ f) (MvPolynomial.commSemiring.{u3, u2} σ _inst_1 f))) (Semiring.toNonAssocSemiring.{u3} σ (CommSemiring.toSemiring.{u3} σ f))) (MvPolynomial.{u2, u3} _inst_1 σ f) σ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} _inst_1 σ f) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} _inst_1 σ f) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} _inst_1 σ f) (MvPolynomial.commSemiring.{u3, u2} σ _inst_1 f)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} σ (Semiring.toNonAssocSemiring.{u3} σ (CommSemiring.toSemiring.{u3} σ f))) (RingHomClass.toNonUnitalRingHomClass.{max u3 u2, max u3 u2, u3} (RingHom.{max u3 u2, u3} (MvPolynomial.{u2, u3} _inst_1 σ f) σ (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} _inst_1 σ f) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} _inst_1 σ f) (MvPolynomial.commSemiring.{u3, u2} σ _inst_1 f))) (Semiring.toNonAssocSemiring.{u3} σ (CommSemiring.toSemiring.{u3} σ f))) (MvPolynomial.{u2, u3} _inst_1 σ f) σ (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} _inst_1 σ f) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} _inst_1 σ f) (MvPolynomial.commSemiring.{u3, u2} σ _inst_1 f))) (Semiring.toNonAssocSemiring.{u3} σ (CommSemiring.toSemiring.{u3} σ f)) (RingHom.instRingHomClassRingHom.{max u3 u2, u3} (MvPolynomial.{u2, u3} _inst_1 σ f) σ (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} _inst_1 σ f) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} _inst_1 σ f) (MvPolynomial.commSemiring.{u3, u2} σ _inst_1 f))) (Semiring.toNonAssocSemiring.{u3} σ (CommSemiring.toSemiring.{u3} σ f)))))) (MvPolynomial.eval.{u3, u2} σ _inst_1 f _inst_2) (p s)) x)
+  forall {R : Type.{u4}} {S₁ : Type.{u1}} {σ : Type.{u3}} {_inst_1 : Type.{u2}} {_inst_2 : _inst_1 -> σ} [τ : CommSemiring.{u4} R] [f : CommSemiring.{u3} σ] (g : RingHom.{u4, max u3 u2} R (MvPolynomial.{u2, u3} _inst_1 σ f) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R τ)) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} _inst_1 σ f) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} _inst_1 σ f) (MvPolynomial.commSemiring.{u3, u2} σ _inst_1 f)))) (p : S₁ -> (MvPolynomial.{u2, u3} _inst_1 σ f)) (x : MvPolynomial.{u1, u4} S₁ R τ), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u2, u3} _inst_1 σ f) => σ) (MvPolynomial.eval₂.{u4, max u2 u3, u1} R (MvPolynomial.{u2, u3} _inst_1 σ f) S₁ τ (MvPolynomial.commSemiring.{u3, u2} σ _inst_1 f) g p x)) (FunLike.coe.{max (succ u2) (succ u3), max (succ u2) (succ u3), succ u3} (RingHom.{max u3 u2, u3} (MvPolynomial.{u2, u3} _inst_1 σ f) σ (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} _inst_1 σ f) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} _inst_1 σ f) (MvPolynomial.commSemiring.{u3, u2} σ _inst_1 f))) (Semiring.toNonAssocSemiring.{u3} σ (CommSemiring.toSemiring.{u3} σ f))) (MvPolynomial.{u2, u3} _inst_1 σ f) (fun (_x : MvPolynomial.{u2, u3} _inst_1 σ f) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u2, u3} _inst_1 σ f) => σ) _x) (MulHomClass.toFunLike.{max u2 u3, max u2 u3, u3} (RingHom.{max u3 u2, u3} (MvPolynomial.{u2, u3} _inst_1 σ f) σ (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} _inst_1 σ f) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} _inst_1 σ f) (MvPolynomial.commSemiring.{u3, u2} σ _inst_1 f))) (Semiring.toNonAssocSemiring.{u3} σ (CommSemiring.toSemiring.{u3} σ f))) (MvPolynomial.{u2, u3} _inst_1 σ f) σ (NonUnitalNonAssocSemiring.toMul.{max u2 u3} (MvPolynomial.{u2, u3} _inst_1 σ f) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u3} (MvPolynomial.{u2, u3} _inst_1 σ f) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} _inst_1 σ f) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} _inst_1 σ f) (MvPolynomial.commSemiring.{u3, u2} σ _inst_1 f))))) (NonUnitalNonAssocSemiring.toMul.{u3} σ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} σ (Semiring.toNonAssocSemiring.{u3} σ (CommSemiring.toSemiring.{u3} σ f)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u3, max u2 u3, u3} (RingHom.{max u3 u2, u3} (MvPolynomial.{u2, u3} _inst_1 σ f) σ (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} _inst_1 σ f) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} _inst_1 σ f) (MvPolynomial.commSemiring.{u3, u2} σ _inst_1 f))) (Semiring.toNonAssocSemiring.{u3} σ (CommSemiring.toSemiring.{u3} σ f))) (MvPolynomial.{u2, u3} _inst_1 σ f) σ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u3} (MvPolynomial.{u2, u3} _inst_1 σ f) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} _inst_1 σ f) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} _inst_1 σ f) (MvPolynomial.commSemiring.{u3, u2} σ _inst_1 f)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} σ (Semiring.toNonAssocSemiring.{u3} σ (CommSemiring.toSemiring.{u3} σ f))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u3, max u2 u3, u3} (RingHom.{max u3 u2, u3} (MvPolynomial.{u2, u3} _inst_1 σ f) σ (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} _inst_1 σ f) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} _inst_1 σ f) (MvPolynomial.commSemiring.{u3, u2} σ _inst_1 f))) (Semiring.toNonAssocSemiring.{u3} σ (CommSemiring.toSemiring.{u3} σ f))) (MvPolynomial.{u2, u3} _inst_1 σ f) σ (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} _inst_1 σ f) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} _inst_1 σ f) (MvPolynomial.commSemiring.{u3, u2} σ _inst_1 f))) (Semiring.toNonAssocSemiring.{u3} σ (CommSemiring.toSemiring.{u3} σ f)) (RingHom.instRingHomClassRingHom.{max u2 u3, u3} (MvPolynomial.{u2, u3} _inst_1 σ f) σ (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} _inst_1 σ f) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} _inst_1 σ f) (MvPolynomial.commSemiring.{u3, u2} σ _inst_1 f))) (Semiring.toNonAssocSemiring.{u3} σ (CommSemiring.toSemiring.{u3} σ f)))))) (MvPolynomial.eval.{u3, u2} σ _inst_1 f _inst_2) (MvPolynomial.eval₂.{u4, max u2 u3, u1} R (MvPolynomial.{u2, u3} _inst_1 σ f) S₁ τ (MvPolynomial.commSemiring.{u3, u2} σ _inst_1 f) g p x)) (MvPolynomial.eval₂.{u4, u3, u1} R σ S₁ τ f (RingHom.comp.{u4, max u3 u2, u3} R (MvPolynomial.{u2, u3} _inst_1 σ f) σ (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R τ)) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} _inst_1 σ f) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} _inst_1 σ f) (MvPolynomial.commSemiring.{u3, u2} σ _inst_1 f))) (Semiring.toNonAssocSemiring.{u3} σ (CommSemiring.toSemiring.{u3} σ f)) (MvPolynomial.eval.{u3, u2} σ _inst_1 f _inst_2) g) (fun (s : S₁) => FunLike.coe.{max (succ u3) (succ u2), max (succ u3) (succ u2), succ u3} (RingHom.{max u3 u2, u3} (MvPolynomial.{u2, u3} _inst_1 σ f) σ (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} _inst_1 σ f) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} _inst_1 σ f) (MvPolynomial.commSemiring.{u3, u2} σ _inst_1 f))) (Semiring.toNonAssocSemiring.{u3} σ (CommSemiring.toSemiring.{u3} σ f))) (MvPolynomial.{u2, u3} _inst_1 σ f) (fun (_x : MvPolynomial.{u2, u3} _inst_1 σ f) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u2, u3} _inst_1 σ f) => σ) _x) (MulHomClass.toFunLike.{max u3 u2, max u3 u2, u3} (RingHom.{max u3 u2, u3} (MvPolynomial.{u2, u3} _inst_1 σ f) σ (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} _inst_1 σ f) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} _inst_1 σ f) (MvPolynomial.commSemiring.{u3, u2} σ _inst_1 f))) (Semiring.toNonAssocSemiring.{u3} σ (CommSemiring.toSemiring.{u3} σ f))) (MvPolynomial.{u2, u3} _inst_1 σ f) σ (NonUnitalNonAssocSemiring.toMul.{max u3 u2} (MvPolynomial.{u2, u3} _inst_1 σ f) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} _inst_1 σ f) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} _inst_1 σ f) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} _inst_1 σ f) (MvPolynomial.commSemiring.{u3, u2} σ _inst_1 f))))) (NonUnitalNonAssocSemiring.toMul.{u3} σ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} σ (Semiring.toNonAssocSemiring.{u3} σ (CommSemiring.toSemiring.{u3} σ f)))) (NonUnitalRingHomClass.toMulHomClass.{max u3 u2, max u3 u2, u3} (RingHom.{max u3 u2, u3} (MvPolynomial.{u2, u3} _inst_1 σ f) σ (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} _inst_1 σ f) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} _inst_1 σ f) (MvPolynomial.commSemiring.{u3, u2} σ _inst_1 f))) (Semiring.toNonAssocSemiring.{u3} σ (CommSemiring.toSemiring.{u3} σ f))) (MvPolynomial.{u2, u3} _inst_1 σ f) σ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} _inst_1 σ f) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} _inst_1 σ f) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} _inst_1 σ f) (MvPolynomial.commSemiring.{u3, u2} σ _inst_1 f)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} σ (Semiring.toNonAssocSemiring.{u3} σ (CommSemiring.toSemiring.{u3} σ f))) (RingHomClass.toNonUnitalRingHomClass.{max u3 u2, max u3 u2, u3} (RingHom.{max u3 u2, u3} (MvPolynomial.{u2, u3} _inst_1 σ f) σ (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} _inst_1 σ f) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} _inst_1 σ f) (MvPolynomial.commSemiring.{u3, u2} σ _inst_1 f))) (Semiring.toNonAssocSemiring.{u3} σ (CommSemiring.toSemiring.{u3} σ f))) (MvPolynomial.{u2, u3} _inst_1 σ f) σ (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} _inst_1 σ f) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} _inst_1 σ f) (MvPolynomial.commSemiring.{u3, u2} σ _inst_1 f))) (Semiring.toNonAssocSemiring.{u3} σ (CommSemiring.toSemiring.{u3} σ f)) (RingHom.instRingHomClassRingHom.{max u3 u2, u3} (MvPolynomial.{u2, u3} _inst_1 σ f) σ (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} _inst_1 σ f) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} _inst_1 σ f) (MvPolynomial.commSemiring.{u3, u2} σ _inst_1 f))) (Semiring.toNonAssocSemiring.{u3} σ (CommSemiring.toSemiring.{u3} σ f)))))) (MvPolynomial.eval.{u3, u2} σ _inst_1 f _inst_2) (p s)) x)
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval_eval₂ MvPolynomial.eval_eval₂ₓ'. -/
 theorem eval_eval₂ {τ : Type _} (f : R →+* MvPolynomial τ S₁) (g : σ → MvPolynomial τ S₁)
     (p : MvPolynomial σ R) (x : τ → S₁) :
@@ -2129,7 +2129,7 @@ def map : MvPolynomial σ R →+* MvPolynomial σ S₁ :=
 lean 3 declaration is
   forall {R : Type.{u1}} {S₁ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] (f : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (s : Finsupp.{u3, 0} σ Nat Nat.hasZero) (a : R), Eq.{max (succ u3) (succ u2)} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (coeFn.{max (succ (max u3 u1)) (succ (max u3 u2)), max (succ (max u3 u1)) (succ (max u3 u2))} (RingHom.{max u3 u1, max u3 u2} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))) (fun (_x : RingHom.{max u3 u1, max u3 u2} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))) => (MvPolynomial.{u3, u1} σ R _inst_1) -> (MvPolynomial.{u3, u2} σ S₁ _inst_2)) (RingHom.hasCoeToFun.{max u3 u1, max u3 u2} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))) (MvPolynomial.map.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 f) (coeFn.{max (succ u1) (succ (max u3 u1)), max (succ u1) (succ (max u3 u1))} (LinearMap.{u1, u1, u1, max u3 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u3, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u3 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u3, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u3, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u3 u1} R R R (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u3} R σ _inst_1 s) a)) (coeFn.{max (succ u2) (succ (max u3 u2)), max (succ u2) (succ (max u3 u2))} (LinearMap.{u2, u2, u2, max u3 u2} S₁ S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2) (CommSemiring.toSemiring.{u2} S₁ _inst_2) (RingHom.id.{u2} S₁ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) S₁ (MvPolynomial.{u3, u2} σ S₁ _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S₁ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2))))) (Semiring.toModule.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (MvPolynomial.module.{u2, u2, u3} S₁ S₁ σ (CommSemiring.toSemiring.{u2} S₁ _inst_2) _inst_2 (Semiring.toModule.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)))) (fun (_x : LinearMap.{u2, u2, u2, max u3 u2} S₁ S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2) (CommSemiring.toSemiring.{u2} S₁ _inst_2) (RingHom.id.{u2} S₁ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) S₁ (MvPolynomial.{u3, u2} σ S₁ _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S₁ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2))))) (Semiring.toModule.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (MvPolynomial.module.{u2, u2, u3} S₁ S₁ σ (CommSemiring.toSemiring.{u2} S₁ _inst_2) _inst_2 (Semiring.toModule.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)))) => S₁ -> (MvPolynomial.{u3, u2} σ S₁ _inst_2)) (LinearMap.hasCoeToFun.{u2, u2, u2, max u3 u2} S₁ S₁ S₁ (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{u2} S₁ _inst_2) (CommSemiring.toSemiring.{u2} S₁ _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S₁ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2))))) (Semiring.toModule.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (MvPolynomial.module.{u2, u2, u3} S₁ S₁ σ (CommSemiring.toSemiring.{u2} S₁ _inst_2) _inst_2 (Semiring.toModule.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (RingHom.id.{u2} S₁ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)))) (MvPolynomial.monomial.{u2, u3} S₁ σ _inst_2 s) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (fun (_x : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) => R -> S₁) (RingHom.hasCoeToFun.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) f a))
 but is expected to have type
-  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] (f : RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (s : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (a : R), Eq.{max (succ u3) (succ u1)} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u3} σ S₁ _inst_2) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (a : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s) a)) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u2) (succ u1), max (succ u3) (succ u1)} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u3} σ S₁ _inst_2) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (RingHom.instRingHomClassRingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))))) (MvPolynomial.map.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s) a)) (FunLike.coe.{max (succ u1) (succ u3), succ u3, max (succ u1) (succ u3)} (LinearMap.{u3, u3, u3, max u3 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) _inst_2) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) _inst_2) (RingHom.id.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) (Semiring.toNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) _inst_2))) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) (Semiring.toNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) _inst_2) (MvPolynomial.commSemiring.{u3, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) σ _inst_2))))) (Semiring.toModule.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) _inst_2)) (MvPolynomial.module.{u3, u3, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) σ (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) _inst_2) _inst_2 (Semiring.toModule.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) _inst_2)))) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) (fun (_x : (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) => MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) _inst_2) _x) (LinearMap.instFunLikeLinearMap.{u3, u3, u3, max u1 u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) _inst_2) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) _inst_2) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) (Semiring.toNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) _inst_2) (MvPolynomial.commSemiring.{u3, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) σ _inst_2))))) (Semiring.toModule.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) _inst_2)) (MvPolynomial.module.{u3, u3, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) σ (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) _inst_2) _inst_2 (Semiring.toModule.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) _inst_2))) (RingHom.id.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) (Semiring.toNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) _inst_2)))) (MvPolynomial.monomial.{u3, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) σ _inst_2 s) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) _x) (MulHomClass.toFunLike.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) f a))
+  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] (f : RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (s : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (a : R), Eq.{max (succ u3) (succ u1)} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u3} σ S₁ _inst_2) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (a : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s) a)) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u2) (succ u1), max (succ u3) (succ u1)} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u3} σ S₁ _inst_2) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (RingHom.instRingHomClassRingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))))) (MvPolynomial.map.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s) a)) (FunLike.coe.{max (succ u1) (succ u3), succ u3, max (succ u1) (succ u3)} (LinearMap.{u3, u3, u3, max u3 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) _inst_2) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) _inst_2) (RingHom.id.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) (Semiring.toNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) _inst_2))) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) (Semiring.toNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) _inst_2) (MvPolynomial.commSemiring.{u3, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) σ _inst_2))))) (Semiring.toModule.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) _inst_2)) (MvPolynomial.module.{u3, u3, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) σ (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) _inst_2) _inst_2 (Semiring.toModule.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) _inst_2)))) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) (fun (_x : (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) => MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) _inst_2) _x) (LinearMap.instFunLikeLinearMap.{u3, u3, u3, max u1 u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) _inst_2) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) _inst_2) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) (Semiring.toNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) _inst_2) (MvPolynomial.commSemiring.{u3, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) σ _inst_2))))) (Semiring.toModule.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) _inst_2)) (MvPolynomial.module.{u3, u3, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) σ (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) _inst_2) _inst_2 (Semiring.toModule.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) _inst_2))) (RingHom.id.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) (Semiring.toNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) _inst_2)))) (MvPolynomial.monomial.{u3, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) σ _inst_2 s) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) _x) (MulHomClass.toFunLike.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) f a))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.map_monomial MvPolynomial.map_monomialₓ'. -/
 @[simp]
 theorem map_monomial (s : σ →₀ ℕ) (a : R) : map f (monomial s a) = monomial s (f a) :=
@@ -2140,7 +2140,7 @@ theorem map_monomial (s : σ →₀ ℕ) (a : R) : map f (monomial s a) = monomi
 lean 3 declaration is
   forall {R : Type.{u1}} {S₁ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] (f : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (a : R), Eq.{max (succ u3) (succ u2)} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (coeFn.{max (succ (max u3 u1)) (succ (max u3 u2)), max (succ (max u3 u1)) (succ (max u3 u2))} (RingHom.{max u3 u1, max u3 u2} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))) (fun (_x : RingHom.{max u3 u1, max u3 u2} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))) => (MvPolynomial.{u3, u1} σ R _inst_1) -> (MvPolynomial.{u3, u2} σ S₁ _inst_2)) (RingHom.hasCoeToFun.{max u3 u1, max u3 u2} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))) (MvPolynomial.map.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 f) (coeFn.{max (succ u1) (succ (max u3 u1)), max (succ u1) (succ (max u3 u1))} (RingHom.{u1, max u3 u1} R (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)))) (fun (_x : RingHom.{u1, max u3 u1} R (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)))) => R -> (MvPolynomial.{u3, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{u1, max u3 u1} R (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)))) (MvPolynomial.C.{u1, u3} R σ _inst_1) a)) (coeFn.{max (succ u2) (succ (max u3 u2)), max (succ u2) (succ (max u3 u2))} (RingHom.{u2, max u3 u2} S₁ (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))) (fun (_x : RingHom.{u2, max u3 u2} S₁ (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))) => S₁ -> (MvPolynomial.{u3, u2} σ S₁ _inst_2)) (RingHom.hasCoeToFun.{u2, max u3 u2} S₁ (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))) (MvPolynomial.C.{u2, u3} S₁ σ _inst_2) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (fun (_x : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) => R -> S₁) (RingHom.hasCoeToFun.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) f a))
 but is expected to have type
-  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] (f : RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (a : R), Eq.{max (succ u3) (succ u1)} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u3} σ S₁ _inst_2) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (a : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) a)) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u2) (succ u1), max (succ u3) (succ u1)} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u3} σ S₁ _inst_2) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (RingHom.instRingHomClassRingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))))) (MvPolynomial.map.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) a)) (FunLike.coe.{max (succ u1) (succ u3), succ u3, max (succ u1) (succ u3)} (RingHom.{u3, max u3 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) _inst_2) (Semiring.toNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) _inst_2)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) _inst_2) (MvPolynomial.commSemiring.{u3, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) σ _inst_2)))) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) (fun (_x : (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) => MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) _inst_2) _x) (MulHomClass.toFunLike.{max u1 u3, u3, max u1 u3} (RingHom.{u3, max u3 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) _inst_2) (Semiring.toNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) _inst_2)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) _inst_2) (MvPolynomial.commSemiring.{u3, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) σ _inst_2)))) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) _inst_2) (NonUnitalNonAssocSemiring.toMul.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) (Semiring.toNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) _inst_2)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u3} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) _inst_2) (MvPolynomial.commSemiring.{u3, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) σ _inst_2))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u3, u3, max u1 u3} (RingHom.{u3, max u3 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) _inst_2) (Semiring.toNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) _inst_2)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) _inst_2) (MvPolynomial.commSemiring.{u3, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) σ _inst_2)))) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) (Semiring.toNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) _inst_2))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) _inst_2) (MvPolynomial.commSemiring.{u3, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) σ _inst_2)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u3, u3, max u1 u3} (RingHom.{u3, max u3 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) _inst_2) (Semiring.toNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) _inst_2)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) _inst_2) (MvPolynomial.commSemiring.{u3, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) σ _inst_2)))) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) _inst_2) (Semiring.toNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) _inst_2)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) _inst_2) (MvPolynomial.commSemiring.{u3, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) σ _inst_2))) (RingHom.instRingHomClassRingHom.{u3, max u1 u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) _inst_2) (Semiring.toNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) _inst_2)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) _inst_2) (MvPolynomial.commSemiring.{u3, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) σ _inst_2))))))) (MvPolynomial.C.{u3, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) σ _inst_2) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) _x) (MulHomClass.toFunLike.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) f a))
+  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] (f : RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (a : R), Eq.{max (succ u3) (succ u1)} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u3} σ S₁ _inst_2) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (a : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) a)) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u2) (succ u1), max (succ u3) (succ u1)} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u3} σ S₁ _inst_2) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (RingHom.instRingHomClassRingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))))) (MvPolynomial.map.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) a)) (FunLike.coe.{max (succ u1) (succ u3), succ u3, max (succ u1) (succ u3)} (RingHom.{u3, max u3 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) _inst_2) (Semiring.toNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) _inst_2)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) _inst_2) (MvPolynomial.commSemiring.{u3, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) σ _inst_2)))) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) (fun (_x : (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) => MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) _inst_2) _x) (MulHomClass.toFunLike.{max u1 u3, u3, max u1 u3} (RingHom.{u3, max u3 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) _inst_2) (Semiring.toNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) _inst_2)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) _inst_2) (MvPolynomial.commSemiring.{u3, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) σ _inst_2)))) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) _inst_2) (NonUnitalNonAssocSemiring.toMul.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) (Semiring.toNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) _inst_2)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u3} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) _inst_2) (MvPolynomial.commSemiring.{u3, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) σ _inst_2))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u3, u3, max u1 u3} (RingHom.{u3, max u3 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) _inst_2) (Semiring.toNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) _inst_2)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) _inst_2) (MvPolynomial.commSemiring.{u3, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) σ _inst_2)))) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) (Semiring.toNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) _inst_2))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) _inst_2) (MvPolynomial.commSemiring.{u3, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) σ _inst_2)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u3, u3, max u1 u3} (RingHom.{u3, max u3 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) _inst_2) (Semiring.toNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) _inst_2)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) _inst_2) (MvPolynomial.commSemiring.{u3, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) σ _inst_2)))) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) _inst_2) (Semiring.toNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) _inst_2)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) _inst_2) (MvPolynomial.commSemiring.{u3, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) σ _inst_2))) (RingHom.instRingHomClassRingHom.{u3, max u1 u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) _inst_2) (Semiring.toNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) _inst_2)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) _inst_2) (MvPolynomial.commSemiring.{u3, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) σ _inst_2))))))) (MvPolynomial.C.{u3, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) a) σ _inst_2) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) _x) (MulHomClass.toFunLike.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) f a))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.map_C MvPolynomial.map_Cₓ'. -/
 @[simp]
 theorem map_C : ∀ a : R, map f (C a : MvPolynomial σ R) = C (f a) :=
@@ -2151,7 +2151,7 @@ theorem map_C : ∀ a : R, map f (C a : MvPolynomial σ R) = C (f a) :=
 lean 3 declaration is
   forall {R : Type.{u1}} {S₁ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] (f : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (n : σ), Eq.{max (succ u3) (succ u2)} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (coeFn.{max (succ (max u3 u1)) (succ (max u3 u2)), max (succ (max u3 u1)) (succ (max u3 u2))} (RingHom.{max u3 u1, max u3 u2} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))) (fun (_x : RingHom.{max u3 u1, max u3 u2} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))) => (MvPolynomial.{u3, u1} σ R _inst_1) -> (MvPolynomial.{u3, u2} σ S₁ _inst_2)) (RingHom.hasCoeToFun.{max u3 u1, max u3 u2} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))) (MvPolynomial.map.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 f) (MvPolynomial.X.{u1, u3} R σ _inst_1 n)) (MvPolynomial.X.{u2, u3} S₁ σ _inst_2 n)
 but is expected to have type
-  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] (f : RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (n : σ), Eq.{max (succ u3) (succ u1)} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.X.{u2, u1} R σ _inst_1 n)) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u2) (succ u1), max (succ u3) (succ u1)} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u3} σ S₁ _inst_2) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (RingHom.instRingHomClassRingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))))) (MvPolynomial.map.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f) (MvPolynomial.X.{u2, u1} R σ _inst_1 n)) (MvPolynomial.X.{u3, u1} S₁ σ _inst_2 n)
+  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] (f : RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (n : σ), Eq.{max (succ u3) (succ u1)} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.X.{u2, u1} R σ _inst_1 n)) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u2) (succ u1), max (succ u3) (succ u1)} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u3} σ S₁ _inst_2) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (RingHom.instRingHomClassRingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))))) (MvPolynomial.map.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f) (MvPolynomial.X.{u2, u1} R σ _inst_1 n)) (MvPolynomial.X.{u3, u1} S₁ σ _inst_2 n)
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.map_X MvPolynomial.map_Xₓ'. -/
 @[simp]
 theorem map_X : ∀ n : σ, map f (X n : MvPolynomial σ R) = X n :=
@@ -2162,7 +2162,7 @@ theorem map_X : ∀ n : σ, map f (X n : MvPolynomial σ R) = X n :=
 lean 3 declaration is
   forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] (p : MvPolynomial.{u2, u1} σ R _inst_1), Eq.{max (succ u2) (succ u1)} (MvPolynomial.{u2, u1} σ R _inst_1) (coeFn.{succ (max u2 u1), succ (max u2 u1)} (RingHom.{max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (fun (_x : RingHom.{max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) => (MvPolynomial.{u2, u1} σ R _inst_1) -> (MvPolynomial.{u2, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (MvPolynomial.map.{u1, u1, u2} R R σ _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) p) p
 but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] (p : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u2} σ R _inst_1) p) (FunLike.coe.{max (succ u2) (succ u1), max (succ u2) (succ u1), max (succ u2) (succ u1)} (RingHom.{max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u2 u1, max u2 u1, max u2 u1} (RingHom.{max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, max u2 u1, max u2 u1} (RingHom.{max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, max u2 u1, max u2 u1} (RingHom.{max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.map.{u2, u2, u1} R R σ _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) p) p
+  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] (p : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u2} σ R _inst_1) p) (FunLike.coe.{max (succ u2) (succ u1), max (succ u2) (succ u1), max (succ u2) (succ u1)} (RingHom.{max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u2 u1, max u2 u1, max u2 u1} (RingHom.{max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, max u2 u1, max u2 u1} (RingHom.{max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, max u2 u1, max u2 u1} (RingHom.{max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.map.{u2, u2, u1} R R σ _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) p) p
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.map_id MvPolynomial.map_idₓ'. -/
 theorem map_id : ∀ p : MvPolynomial σ R, map (RingHom.id R) p = p :=
   eval₂_eta
@@ -2172,7 +2172,7 @@ theorem map_id : ∀ p : MvPolynomial σ R, map (RingHom.id R) p = p :=
 lean 3 declaration is
   forall {R : Type.{u1}} {S₁ : Type.{u2}} {S₂ : Type.{u3}} {σ : Type.{u4}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] (f : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) [_inst_3 : CommSemiring.{u3} S₂] (g : RingHom.{u2, u3} S₁ S₂ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_3))) (p : MvPolynomial.{u4, u1} σ R _inst_1), Eq.{max (succ u4) (succ u3)} (MvPolynomial.{u4, u3} σ S₂ _inst_3) (coeFn.{max (succ (max u4 u2)) (succ (max u4 u3)), max (succ (max u4 u2)) (succ (max u4 u3))} (RingHom.{max u4 u2, max u4 u3} (MvPolynomial.{u4, u2} σ S₁ _inst_2) (MvPolynomial.{u4, u3} σ S₂ _inst_3) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u4, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u4, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u4} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{max u4 u3} (MvPolynomial.{u4, u3} σ S₂ _inst_3) (CommSemiring.toSemiring.{max u4 u3} (MvPolynomial.{u4, u3} σ S₂ _inst_3) (MvPolynomial.commSemiring.{u3, u4} S₂ σ _inst_3)))) (fun (_x : RingHom.{max u4 u2, max u4 u3} (MvPolynomial.{u4, u2} σ S₁ _inst_2) (MvPolynomial.{u4, u3} σ S₂ _inst_3) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u4, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u4, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u4} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{max u4 u3} (MvPolynomial.{u4, u3} σ S₂ _inst_3) (CommSemiring.toSemiring.{max u4 u3} (MvPolynomial.{u4, u3} σ S₂ _inst_3) (MvPolynomial.commSemiring.{u3, u4} S₂ σ _inst_3)))) => (MvPolynomial.{u4, u2} σ S₁ _inst_2) -> (MvPolynomial.{u4, u3} σ S₂ _inst_3)) (RingHom.hasCoeToFun.{max u4 u2, max u4 u3} (MvPolynomial.{u4, u2} σ S₁ _inst_2) (MvPolynomial.{u4, u3} σ S₂ _inst_3) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u4, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u4, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u4} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{max u4 u3} (MvPolynomial.{u4, u3} σ S₂ _inst_3) (CommSemiring.toSemiring.{max u4 u3} (MvPolynomial.{u4, u3} σ S₂ _inst_3) (MvPolynomial.commSemiring.{u3, u4} S₂ σ _inst_3)))) (MvPolynomial.map.{u2, u3, u4} S₁ S₂ σ _inst_2 _inst_3 g) (coeFn.{max (succ (max u4 u1)) (succ (max u4 u2)), max (succ (max u4 u1)) (succ (max u4 u2))} (RingHom.{max u4 u1, max u4 u2} (MvPolynomial.{u4, u1} σ R _inst_1) (MvPolynomial.{u4, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u4, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u4, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u4} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u4, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u4, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u4} S₁ σ _inst_2)))) (fun (_x : RingHom.{max u4 u1, max u4 u2} (MvPolynomial.{u4, u1} σ R _inst_1) (MvPolynomial.{u4, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u4, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u4, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u4} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u4, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u4, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u4} S₁ σ _inst_2)))) => (MvPolynomial.{u4, u1} σ R _inst_1) -> (MvPolynomial.{u4, u2} σ S₁ _inst_2)) (RingHom.hasCoeToFun.{max u4 u1, max u4 u2} (MvPolynomial.{u4, u1} σ R _inst_1) (MvPolynomial.{u4, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u4, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u4, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u4} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u4, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u4, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u4} S₁ σ _inst_2)))) (MvPolynomial.map.{u1, u2, u4} R S₁ σ _inst_1 _inst_2 f) p)) (coeFn.{max (succ (max u4 u1)) (succ (max u4 u3)), max (succ (max u4 u1)) (succ (max u4 u3))} (RingHom.{max u4 u1, max u4 u3} (MvPolynomial.{u4, u1} σ R _inst_1) (MvPolynomial.{u4, u3} σ S₂ _inst_3) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u4, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u4, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u4} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u4 u3} (MvPolynomial.{u4, u3} σ S₂ _inst_3) (CommSemiring.toSemiring.{max u4 u3} (MvPolynomial.{u4, u3} σ S₂ _inst_3) (MvPolynomial.commSemiring.{u3, u4} S₂ σ _inst_3)))) (fun (_x : RingHom.{max u4 u1, max u4 u3} (MvPolynomial.{u4, u1} σ R _inst_1) (MvPolynomial.{u4, u3} σ S₂ _inst_3) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u4, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u4, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u4} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u4 u3} (MvPolynomial.{u4, u3} σ S₂ _inst_3) (CommSemiring.toSemiring.{max u4 u3} (MvPolynomial.{u4, u3} σ S₂ _inst_3) (MvPolynomial.commSemiring.{u3, u4} S₂ σ _inst_3)))) => (MvPolynomial.{u4, u1} σ R _inst_1) -> (MvPolynomial.{u4, u3} σ S₂ _inst_3)) (RingHom.hasCoeToFun.{max u4 u1, max u4 u3} (MvPolynomial.{u4, u1} σ R _inst_1) (MvPolynomial.{u4, u3} σ S₂ _inst_3) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u4, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u4, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u4} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u4 u3} (MvPolynomial.{u4, u3} σ S₂ _inst_3) (CommSemiring.toSemiring.{max u4 u3} (MvPolynomial.{u4, u3} σ S₂ _inst_3) (MvPolynomial.commSemiring.{u3, u4} S₂ σ _inst_3)))) (MvPolynomial.map.{u1, u3, u4} R S₂ σ _inst_1 _inst_3 (RingHom.comp.{u1, u2, u3} R S₁ S₂ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_3)) g f)) p)
 but is expected to have type
-  forall {R : Type.{u2}} {S₁ : Type.{u3}} {S₂ : Type.{u4}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] (f : RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) [_inst_3 : CommSemiring.{u4} S₂] (g : RingHom.{u3, u4} S₁ S₂ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))) (p : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{max (succ u4) (succ u1)} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u3} σ S₁ _inst_2) => MvPolynomial.{u1, u4} σ S₂ _inst_3) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u2) (succ u1), max (succ u3) (succ u1)} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (a : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u3} σ S₁ _inst_2) a) (MulHomClass.toFunLike.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (RingHom.instRingHomClassRingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))))) (MvPolynomial.map.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f) p)) (FunLike.coe.{max (max (succ u3) (succ u4)) (succ u1), max (succ u3) (succ u1), max (succ u4) (succ u1)} (RingHom.{max u3 u1, max u4 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.{u1, u4} σ S₂ _inst_3) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₂ _inst_3) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₂ _inst_3) (MvPolynomial.commSemiring.{u4, u1} S₂ σ _inst_3)))) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (fun (_x : MvPolynomial.{u1, u3} σ S₁ _inst_2) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u3} σ S₁ _inst_2) => MvPolynomial.{u1, u4} σ S₂ _inst_3) _x) (MulHomClass.toFunLike.{max (max u3 u4) u1, max u3 u1, max u4 u1} (RingHom.{max u3 u1, max u4 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.{u1, u4} σ S₂ _inst_3) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₂ _inst_3) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₂ _inst_3) (MvPolynomial.commSemiring.{u4, u1} S₂ σ _inst_3)))) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.{u1, u4} σ S₂ _inst_3) (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))) (NonUnitalNonAssocSemiring.toMul.{max u4 u1} (MvPolynomial.{u1, u4} σ S₂ _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₂ _inst_3) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₂ _inst_3) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₂ _inst_3) (MvPolynomial.commSemiring.{u4, u1} S₂ σ _inst_3))))) (NonUnitalRingHomClass.toMulHomClass.{max (max u3 u4) u1, max u3 u1, max u4 u1} (RingHom.{max u3 u1, max u4 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.{u1, u4} σ S₂ _inst_3) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₂ _inst_3) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₂ _inst_3) (MvPolynomial.commSemiring.{u4, u1} S₂ σ _inst_3)))) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.{u1, u4} σ S₂ _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₂ _inst_3) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₂ _inst_3) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₂ _inst_3) (MvPolynomial.commSemiring.{u4, u1} S₂ σ _inst_3)))) (RingHomClass.toNonUnitalRingHomClass.{max (max u3 u4) u1, max u3 u1, max u4 u1} (RingHom.{max u3 u1, max u4 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.{u1, u4} σ S₂ _inst_3) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₂ _inst_3) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₂ _inst_3) (MvPolynomial.commSemiring.{u4, u1} S₂ σ _inst_3)))) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.{u1, u4} σ S₂ _inst_3) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₂ _inst_3) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₂ _inst_3) (MvPolynomial.commSemiring.{u4, u1} S₂ σ _inst_3))) (RingHom.instRingHomClassRingHom.{max u3 u1, max u4 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.{u1, u4} σ S₂ _inst_3) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₂ _inst_3) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₂ _inst_3) (MvPolynomial.commSemiring.{u4, u1} S₂ σ _inst_3))))))) (MvPolynomial.map.{u3, u4, u1} S₁ S₂ σ _inst_2 _inst_3 g) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u2) (succ u1), max (succ u3) (succ u1)} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u3} σ S₁ _inst_2) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (RingHom.instRingHomClassRingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))))) (MvPolynomial.map.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f) p)) (FunLike.coe.{max (max (succ u2) (succ u4)) (succ u1), max (succ u2) (succ u1), max (succ u4) (succ u1)} (RingHom.{max u2 u1, max u4 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u4} σ S₂ _inst_3) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₂ _inst_3) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₂ _inst_3) (MvPolynomial.commSemiring.{u4, u1} S₂ σ _inst_3)))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u4} σ S₂ _inst_3) _x) (MulHomClass.toFunLike.{max (max u2 u4) u1, max u2 u1, max u4 u1} (RingHom.{max u2 u1, max u4 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u4} σ S₂ _inst_3) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₂ _inst_3) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₂ _inst_3) (MvPolynomial.commSemiring.{u4, u1} S₂ σ _inst_3)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u4} σ S₂ _inst_3) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{max u4 u1} (MvPolynomial.{u1, u4} σ S₂ _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₂ _inst_3) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₂ _inst_3) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₂ _inst_3) (MvPolynomial.commSemiring.{u4, u1} S₂ σ _inst_3))))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u4) u1, max u2 u1, max u4 u1} (RingHom.{max u2 u1, max u4 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u4} σ S₂ _inst_3) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₂ _inst_3) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₂ _inst_3) (MvPolynomial.commSemiring.{u4, u1} S₂ σ _inst_3)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u4} σ S₂ _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₂ _inst_3) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₂ _inst_3) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₂ _inst_3) (MvPolynomial.commSemiring.{u4, u1} S₂ σ _inst_3)))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u4) u1, max u2 u1, max u4 u1} (RingHom.{max u2 u1, max u4 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u4} σ S₂ _inst_3) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₂ _inst_3) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₂ _inst_3) (MvPolynomial.commSemiring.{u4, u1} S₂ σ _inst_3)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u4} σ S₂ _inst_3) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₂ _inst_3) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₂ _inst_3) (MvPolynomial.commSemiring.{u4, u1} S₂ σ _inst_3))) (RingHom.instRingHomClassRingHom.{max u2 u1, max u4 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u4} σ S₂ _inst_3) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₂ _inst_3) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₂ _inst_3) (MvPolynomial.commSemiring.{u4, u1} S₂ σ _inst_3))))))) (MvPolynomial.map.{u2, u4, u1} R S₂ σ _inst_1 _inst_3 (RingHom.comp.{u2, u3, u4} R S₁ S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3)) g f)) p)
+  forall {R : Type.{u2}} {S₁ : Type.{u3}} {S₂ : Type.{u4}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] (f : RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) [_inst_3 : CommSemiring.{u4} S₂] (g : RingHom.{u3, u4} S₁ S₂ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))) (p : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{max (succ u4) (succ u1)} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u3} σ S₁ _inst_2) => MvPolynomial.{u1, u4} σ S₂ _inst_3) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u2) (succ u1), max (succ u3) (succ u1)} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (a : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u3} σ S₁ _inst_2) a) (MulHomClass.toFunLike.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (RingHom.instRingHomClassRingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))))) (MvPolynomial.map.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f) p)) (FunLike.coe.{max (max (succ u3) (succ u4)) (succ u1), max (succ u3) (succ u1), max (succ u4) (succ u1)} (RingHom.{max u3 u1, max u4 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.{u1, u4} σ S₂ _inst_3) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₂ _inst_3) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₂ _inst_3) (MvPolynomial.commSemiring.{u4, u1} S₂ σ _inst_3)))) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (fun (_x : MvPolynomial.{u1, u3} σ S₁ _inst_2) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u3} σ S₁ _inst_2) => MvPolynomial.{u1, u4} σ S₂ _inst_3) _x) (MulHomClass.toFunLike.{max (max u3 u4) u1, max u3 u1, max u4 u1} (RingHom.{max u3 u1, max u4 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.{u1, u4} σ S₂ _inst_3) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₂ _inst_3) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₂ _inst_3) (MvPolynomial.commSemiring.{u4, u1} S₂ σ _inst_3)))) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.{u1, u4} σ S₂ _inst_3) (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))) (NonUnitalNonAssocSemiring.toMul.{max u4 u1} (MvPolynomial.{u1, u4} σ S₂ _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₂ _inst_3) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₂ _inst_3) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₂ _inst_3) (MvPolynomial.commSemiring.{u4, u1} S₂ σ _inst_3))))) (NonUnitalRingHomClass.toMulHomClass.{max (max u3 u4) u1, max u3 u1, max u4 u1} (RingHom.{max u3 u1, max u4 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.{u1, u4} σ S₂ _inst_3) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₂ _inst_3) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₂ _inst_3) (MvPolynomial.commSemiring.{u4, u1} S₂ σ _inst_3)))) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.{u1, u4} σ S₂ _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₂ _inst_3) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₂ _inst_3) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₂ _inst_3) (MvPolynomial.commSemiring.{u4, u1} S₂ σ _inst_3)))) (RingHomClass.toNonUnitalRingHomClass.{max (max u3 u4) u1, max u3 u1, max u4 u1} (RingHom.{max u3 u1, max u4 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.{u1, u4} σ S₂ _inst_3) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₂ _inst_3) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₂ _inst_3) (MvPolynomial.commSemiring.{u4, u1} S₂ σ _inst_3)))) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.{u1, u4} σ S₂ _inst_3) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₂ _inst_3) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₂ _inst_3) (MvPolynomial.commSemiring.{u4, u1} S₂ σ _inst_3))) (RingHom.instRingHomClassRingHom.{max u3 u1, max u4 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.{u1, u4} σ S₂ _inst_3) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₂ _inst_3) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₂ _inst_3) (MvPolynomial.commSemiring.{u4, u1} S₂ σ _inst_3))))))) (MvPolynomial.map.{u3, u4, u1} S₁ S₂ σ _inst_2 _inst_3 g) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u2) (succ u1), max (succ u3) (succ u1)} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u3} σ S₁ _inst_2) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (RingHom.instRingHomClassRingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))))) (MvPolynomial.map.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f) p)) (FunLike.coe.{max (max (succ u2) (succ u4)) (succ u1), max (succ u2) (succ u1), max (succ u4) (succ u1)} (RingHom.{max u2 u1, max u4 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u4} σ S₂ _inst_3) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₂ _inst_3) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₂ _inst_3) (MvPolynomial.commSemiring.{u4, u1} S₂ σ _inst_3)))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u4} σ S₂ _inst_3) _x) (MulHomClass.toFunLike.{max (max u2 u4) u1, max u2 u1, max u4 u1} (RingHom.{max u2 u1, max u4 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u4} σ S₂ _inst_3) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₂ _inst_3) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₂ _inst_3) (MvPolynomial.commSemiring.{u4, u1} S₂ σ _inst_3)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u4} σ S₂ _inst_3) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{max u4 u1} (MvPolynomial.{u1, u4} σ S₂ _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₂ _inst_3) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₂ _inst_3) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₂ _inst_3) (MvPolynomial.commSemiring.{u4, u1} S₂ σ _inst_3))))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u4) u1, max u2 u1, max u4 u1} (RingHom.{max u2 u1, max u4 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u4} σ S₂ _inst_3) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₂ _inst_3) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₂ _inst_3) (MvPolynomial.commSemiring.{u4, u1} S₂ σ _inst_3)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u4} σ S₂ _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₂ _inst_3) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₂ _inst_3) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₂ _inst_3) (MvPolynomial.commSemiring.{u4, u1} S₂ σ _inst_3)))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u4) u1, max u2 u1, max u4 u1} (RingHom.{max u2 u1, max u4 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u4} σ S₂ _inst_3) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₂ _inst_3) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₂ _inst_3) (MvPolynomial.commSemiring.{u4, u1} S₂ σ _inst_3)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u4} σ S₂ _inst_3) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₂ _inst_3) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₂ _inst_3) (MvPolynomial.commSemiring.{u4, u1} S₂ σ _inst_3))) (RingHom.instRingHomClassRingHom.{max u2 u1, max u4 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u4} σ S₂ _inst_3) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₂ _inst_3) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₂ _inst_3) (MvPolynomial.commSemiring.{u4, u1} S₂ σ _inst_3))))))) (MvPolynomial.map.{u2, u4, u1} R S₂ σ _inst_1 _inst_3 (RingHom.comp.{u2, u3, u4} R S₁ S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3)) g f)) p)
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.map_map MvPolynomial.map_mapₓ'. -/
 theorem map_map [CommSemiring S₂] (g : S₁ →+* S₂) (p : MvPolynomial σ R) :
     map g (map f p) = map (g.comp f) p :=
@@ -2189,7 +2189,7 @@ theorem map_map [CommSemiring S₂] (g : S₁ →+* S₂) (p : MvPolynomial σ R
 lean 3 declaration is
   forall {R : Type.{u1}} {S₁ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] (f : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (g : σ -> S₁) (p : MvPolynomial.{u3, u1} σ R _inst_1), Eq.{succ u2} S₁ (MvPolynomial.eval₂.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 f g p) (coeFn.{max (succ (max u3 u2)) (succ u2), max (succ (max u3 u2)) (succ u2)} (RingHom.{max u3 u2, u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (fun (_x : RingHom.{max u3 u2, u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) => (MvPolynomial.{u3, u2} σ S₁ _inst_2) -> S₁) (RingHom.hasCoeToFun.{max u3 u2, u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (MvPolynomial.eval.{u2, u3} S₁ σ _inst_2 g) (coeFn.{max (succ (max u3 u1)) (succ (max u3 u2)), max (succ (max u3 u1)) (succ (max u3 u2))} (RingHom.{max u3 u1, max u3 u2} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))) (fun (_x : RingHom.{max u3 u1, max u3 u2} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))) => (MvPolynomial.{u3, u1} σ R _inst_1) -> (MvPolynomial.{u3, u2} σ S₁ _inst_2)) (RingHom.hasCoeToFun.{max u3 u1, max u3 u2} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))) (MvPolynomial.map.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 f) p))
 but is expected to have type
-  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] (f : RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (g : σ -> S₁) (p : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{succ u3} S₁ (MvPolynomial.eval₂.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f g p) (FunLike.coe.{max (succ u3) (succ u1), max (succ u3) (succ u1), succ u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (fun (_x : MvPolynomial.{u1, u3} σ S₁ _inst_2) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u3} σ S₁ _inst_2) => S₁) _x) (MulHomClass.toFunLike.{max u3 u1, max u3 u1, u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u3 u1, max u3 u1, u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u3 u1, max u3 u1, u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (MvPolynomial.eval.{u3, u1} S₁ σ _inst_2 g) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u2) (succ u1), max (succ u3) (succ u1)} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u3} σ S₁ _inst_2) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (RingHom.instRingHomClassRingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))))) (MvPolynomial.map.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f) p))
+  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] (f : RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (g : σ -> S₁) (p : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{succ u3} S₁ (MvPolynomial.eval₂.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f g p) (FunLike.coe.{max (succ u3) (succ u1), max (succ u3) (succ u1), succ u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (fun (_x : MvPolynomial.{u1, u3} σ S₁ _inst_2) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u3} σ S₁ _inst_2) => S₁) _x) (MulHomClass.toFunLike.{max u3 u1, max u3 u1, u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u3 u1, max u3 u1, u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u3 u1, max u3 u1, u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (MvPolynomial.eval.{u3, u1} S₁ σ _inst_2 g) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u2) (succ u1), max (succ u3) (succ u1)} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u3} σ S₁ _inst_2) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (RingHom.instRingHomClassRingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))))) (MvPolynomial.map.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f) p))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval₂_eq_eval_map MvPolynomial.eval₂_eq_eval_mapₓ'. -/
 theorem eval₂_eq_eval_map (g : σ → S₁) (p : MvPolynomial σ R) : p.eval₂ f g = eval g (map f p) :=
   by
@@ -2208,7 +2208,7 @@ theorem eval₂_eq_eval_map (g : σ → S₁) (p : MvPolynomial σ R) : p.eval
 lean 3 declaration is
   forall {R : Type.{u1}} {S₁ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] {S₂ : Type.{u4}} [_inst_3 : CommSemiring.{u4} S₂] (k : RingHom.{u2, u4} S₁ S₂ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))) (f : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (g : σ -> S₁) (p : MvPolynomial.{u3, u1} σ R _inst_1), Eq.{succ u4} S₂ (coeFn.{max (succ u2) (succ u4), max (succ u2) (succ u4)} (RingHom.{u2, u4} S₁ S₂ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))) (fun (_x : RingHom.{u2, u4} S₁ S₂ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))) => S₁ -> S₂) (RingHom.hasCoeToFun.{u2, u4} S₁ S₂ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))) k (MvPolynomial.eval₂.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 f g p)) (MvPolynomial.eval₂.{u2, u4, u3} S₁ S₂ σ _inst_2 _inst_3 k (Function.comp.{succ u3, succ u2, succ u4} σ S₁ S₂ (coeFn.{max (succ u2) (succ u4), max (succ u2) (succ u4)} (RingHom.{u2, u4} S₁ S₂ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))) (fun (_x : RingHom.{u2, u4} S₁ S₂ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))) => S₁ -> S₂) (RingHom.hasCoeToFun.{u2, u4} S₁ S₂ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))) k) g) (coeFn.{max (succ (max u3 u1)) (succ (max u3 u2)), max (succ (max u3 u1)) (succ (max u3 u2))} (RingHom.{max u3 u1, max u3 u2} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))) (fun (_x : RingHom.{max u3 u1, max u3 u2} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))) => (MvPolynomial.{u3, u1} σ R _inst_1) -> (MvPolynomial.{u3, u2} σ S₁ _inst_2)) (RingHom.hasCoeToFun.{max u3 u1, max u3 u2} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))) (MvPolynomial.map.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 f) p))
 but is expected to have type
-  forall {R : Type.{u3}} {S₁ : Type.{u4}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u3} R] [_inst_2 : CommSemiring.{u4} S₁] {S₂ : Type.{u2}} [_inst_3 : CommSemiring.{u2} S₂] (k : RingHom.{u4, u2} S₁ S₂ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_3))) (f : RingHom.{u3, u4} R S₁ (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2))) (g : σ -> S₁) (p : MvPolynomial.{u1, u3} σ R _inst_1), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : S₁) => S₂) (MvPolynomial.eval₂.{u3, u4, u1} R S₁ σ _inst_1 _inst_2 f g p)) (FunLike.coe.{max (succ u4) (succ u2), succ u4, succ u2} (RingHom.{u4, u2} S₁ S₂ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_3))) S₁ (fun (_x : S₁) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : S₁) => S₂) _x) (MulHomClass.toFunLike.{max u4 u2, u4, u2} (RingHom.{u4, u2} S₁ S₂ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_3))) S₁ S₂ (NonUnitalNonAssocSemiring.toMul.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))) (NonUnitalNonAssocSemiring.toMul.{u2} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S₂ (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_3)))) (NonUnitalRingHomClass.toMulHomClass.{max u4 u2, u4, u2} (RingHom.{u4, u2} S₁ S₂ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_3))) S₁ S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S₂ (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_3))) (RingHomClass.toNonUnitalRingHomClass.{max u4 u2, u4, u2} (RingHom.{u4, u2} S₁ S₂ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_3))) S₁ S₂ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_3)) (RingHom.instRingHomClassRingHom.{u4, u2} S₁ S₂ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_3)))))) k (MvPolynomial.eval₂.{u3, u4, u1} R S₁ σ _inst_1 _inst_2 f g p)) (MvPolynomial.eval₂.{u4, u2, u1} S₁ S₂ σ _inst_2 _inst_3 k (Function.comp.{succ u1, succ u4, succ u2} σ S₁ S₂ (FunLike.coe.{max (succ u4) (succ u2), succ u4, succ u2} (RingHom.{u4, u2} S₁ S₂ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_3))) S₁ (fun (_x : S₁) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : S₁) => S₂) _x) (MulHomClass.toFunLike.{max u4 u2, u4, u2} (RingHom.{u4, u2} S₁ S₂ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_3))) S₁ S₂ (NonUnitalNonAssocSemiring.toMul.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))) (NonUnitalNonAssocSemiring.toMul.{u2} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S₂ (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_3)))) (NonUnitalRingHomClass.toMulHomClass.{max u4 u2, u4, u2} (RingHom.{u4, u2} S₁ S₂ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_3))) S₁ S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S₂ (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_3))) (RingHomClass.toNonUnitalRingHomClass.{max u4 u2, u4, u2} (RingHom.{u4, u2} S₁ S₂ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_3))) S₁ S₂ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_3)) (RingHom.instRingHomClassRingHom.{u4, u2} S₁ S₂ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_3)))))) k) g) (FunLike.coe.{max (max (succ u3) (succ u4)) (succ u1), max (succ u3) (succ u1), max (succ u4) (succ u1)} (RingHom.{max u3 u1, max u4 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.{u1, u4} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u4, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u3} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u3} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u3} σ R _inst_1) => MvPolynomial.{u1, u4} σ S₁ _inst_2) _x) (MulHomClass.toFunLike.{max (max u3 u4) u1, max u3 u1, max u4 u1} (RingHom.{max u3 u1, max u4 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.{u1, u4} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u4, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.{u1, u4} σ S₁ _inst_2) (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{max u4 u1} (MvPolynomial.{u1, u4} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u4, u1} S₁ σ _inst_2))))) (NonUnitalRingHomClass.toMulHomClass.{max (max u3 u4) u1, max u3 u1, max u4 u1} (RingHom.{max u3 u1, max u4 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.{u1, u4} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u4, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.{u1, u4} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u4, u1} S₁ σ _inst_2)))) (RingHomClass.toNonUnitalRingHomClass.{max (max u3 u4) u1, max u3 u1, max u4 u1} (RingHom.{max u3 u1, max u4 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.{u1, u4} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u4, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.{u1, u4} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u4, u1} S₁ σ _inst_2))) (RingHom.instRingHomClassRingHom.{max u3 u1, max u4 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.{u1, u4} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u4, u1} S₁ σ _inst_2))))))) (MvPolynomial.map.{u3, u4, u1} R S₁ σ _inst_1 _inst_2 f) p))
+  forall {R : Type.{u3}} {S₁ : Type.{u4}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u3} R] [_inst_2 : CommSemiring.{u4} S₁] {S₂ : Type.{u2}} [_inst_3 : CommSemiring.{u2} S₂] (k : RingHom.{u4, u2} S₁ S₂ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_3))) (f : RingHom.{u3, u4} R S₁ (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2))) (g : σ -> S₁) (p : MvPolynomial.{u1, u3} σ R _inst_1), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : S₁) => S₂) (MvPolynomial.eval₂.{u3, u4, u1} R S₁ σ _inst_1 _inst_2 f g p)) (FunLike.coe.{max (succ u4) (succ u2), succ u4, succ u2} (RingHom.{u4, u2} S₁ S₂ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_3))) S₁ (fun (_x : S₁) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : S₁) => S₂) _x) (MulHomClass.toFunLike.{max u4 u2, u4, u2} (RingHom.{u4, u2} S₁ S₂ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_3))) S₁ S₂ (NonUnitalNonAssocSemiring.toMul.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))) (NonUnitalNonAssocSemiring.toMul.{u2} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S₂ (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_3)))) (NonUnitalRingHomClass.toMulHomClass.{max u4 u2, u4, u2} (RingHom.{u4, u2} S₁ S₂ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_3))) S₁ S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S₂ (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_3))) (RingHomClass.toNonUnitalRingHomClass.{max u4 u2, u4, u2} (RingHom.{u4, u2} S₁ S₂ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_3))) S₁ S₂ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_3)) (RingHom.instRingHomClassRingHom.{u4, u2} S₁ S₂ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_3)))))) k (MvPolynomial.eval₂.{u3, u4, u1} R S₁ σ _inst_1 _inst_2 f g p)) (MvPolynomial.eval₂.{u4, u2, u1} S₁ S₂ σ _inst_2 _inst_3 k (Function.comp.{succ u1, succ u4, succ u2} σ S₁ S₂ (FunLike.coe.{max (succ u4) (succ u2), succ u4, succ u2} (RingHom.{u4, u2} S₁ S₂ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_3))) S₁ (fun (_x : S₁) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : S₁) => S₂) _x) (MulHomClass.toFunLike.{max u4 u2, u4, u2} (RingHom.{u4, u2} S₁ S₂ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_3))) S₁ S₂ (NonUnitalNonAssocSemiring.toMul.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))) (NonUnitalNonAssocSemiring.toMul.{u2} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S₂ (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_3)))) (NonUnitalRingHomClass.toMulHomClass.{max u4 u2, u4, u2} (RingHom.{u4, u2} S₁ S₂ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_3))) S₁ S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S₂ (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_3))) (RingHomClass.toNonUnitalRingHomClass.{max u4 u2, u4, u2} (RingHom.{u4, u2} S₁ S₂ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_3))) S₁ S₂ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_3)) (RingHom.instRingHomClassRingHom.{u4, u2} S₁ S₂ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_3)))))) k) g) (FunLike.coe.{max (max (succ u3) (succ u4)) (succ u1), max (succ u3) (succ u1), max (succ u4) (succ u1)} (RingHom.{max u3 u1, max u4 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.{u1, u4} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u4, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u3} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u3} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u3} σ R _inst_1) => MvPolynomial.{u1, u4} σ S₁ _inst_2) _x) (MulHomClass.toFunLike.{max (max u3 u4) u1, max u3 u1, max u4 u1} (RingHom.{max u3 u1, max u4 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.{u1, u4} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u4, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.{u1, u4} σ S₁ _inst_2) (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{max u4 u1} (MvPolynomial.{u1, u4} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u4, u1} S₁ σ _inst_2))))) (NonUnitalRingHomClass.toMulHomClass.{max (max u3 u4) u1, max u3 u1, max u4 u1} (RingHom.{max u3 u1, max u4 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.{u1, u4} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u4, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.{u1, u4} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u4, u1} S₁ σ _inst_2)))) (RingHomClass.toNonUnitalRingHomClass.{max (max u3 u4) u1, max u3 u1, max u4 u1} (RingHom.{max u3 u1, max u4 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.{u1, u4} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u4, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.{u1, u4} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u4, u1} S₁ σ _inst_2))) (RingHom.instRingHomClassRingHom.{max u3 u1, max u4 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.{u1, u4} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u4, u1} S₁ σ _inst_2))))))) (MvPolynomial.map.{u3, u4, u1} R S₁ σ _inst_1 _inst_2 f) p))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval₂_comp_right MvPolynomial.eval₂_comp_rightₓ'. -/
 theorem eval₂_comp_right {S₂} [CommSemiring S₂] (k : S₁ →+* S₂) (f : R →+* S₁) (g : σ → S₁) (p) :
     k (eval₂ f g p) = eval₂ k (k ∘ g) (map f p) :=
@@ -2226,7 +2226,7 @@ theorem eval₂_comp_right {S₂} [CommSemiring S₂] (k : S₁ →+* S₂) (f :
 lean 3 declaration is
   forall {R : Type.{u1}} {S₁ : Type.{u2}} {S₂ : Type.{u3}} {S₃ : Type.{u4}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] (f : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (g : S₂ -> (MvPolynomial.{u4, u1} S₃ R _inst_1)) (p : MvPolynomial.{u3, u1} S₂ R _inst_1), Eq.{max (succ u4) (succ u2)} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (coeFn.{max (succ (max u4 u1)) (succ (max u4 u2)), max (succ (max u4 u1)) (succ (max u4 u2))} (RingHom.{max u4 u1, max u4 u2} (MvPolynomial.{u4, u1} S₃ R _inst_1) (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u4, u1} S₃ R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u4, u1} S₃ R _inst_1) (MvPolynomial.commSemiring.{u1, u4} R S₃ _inst_1))) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u4} S₁ S₃ _inst_2)))) (fun (_x : RingHom.{max u4 u1, max u4 u2} (MvPolynomial.{u4, u1} S₃ R _inst_1) (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u4, u1} S₃ R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u4, u1} S₃ R _inst_1) (MvPolynomial.commSemiring.{u1, u4} R S₃ _inst_1))) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u4} S₁ S₃ _inst_2)))) => (MvPolynomial.{u4, u1} S₃ R _inst_1) -> (MvPolynomial.{u4, u2} S₃ S₁ _inst_2)) (RingHom.hasCoeToFun.{max u4 u1, max u4 u2} (MvPolynomial.{u4, u1} S₃ R _inst_1) (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u4, u1} S₃ R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u4, u1} S₃ R _inst_1) (MvPolynomial.commSemiring.{u1, u4} R S₃ _inst_1))) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u4} S₁ S₃ _inst_2)))) (MvPolynomial.map.{u1, u2, u4} R S₁ S₃ _inst_1 _inst_2 f) (MvPolynomial.eval₂.{u1, max u4 u1, u3} R (MvPolynomial.{u4, u1} S₃ R _inst_1) S₂ _inst_1 (MvPolynomial.commSemiring.{u1, u4} R S₃ _inst_1) (MvPolynomial.C.{u1, u4} R S₃ _inst_1) g p)) (MvPolynomial.eval₂.{u2, max u4 u2, u3} S₁ (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) S₂ _inst_2 (MvPolynomial.commSemiring.{u2, u4} S₁ S₃ _inst_2) (MvPolynomial.C.{u2, u4} S₁ S₃ _inst_2) (Function.comp.{succ u3, max (succ u4) (succ u1), max (succ u4) (succ u2)} S₂ (MvPolynomial.{u4, u1} S₃ R _inst_1) (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (coeFn.{max (succ (max u4 u1)) (succ (max u4 u2)), max (succ (max u4 u1)) (succ (max u4 u2))} (RingHom.{max u4 u1, max u4 u2} (MvPolynomial.{u4, u1} S₃ R _inst_1) (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u4, u1} S₃ R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u4, u1} S₃ R _inst_1) (MvPolynomial.commSemiring.{u1, u4} R S₃ _inst_1))) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u4} S₁ S₃ _inst_2)))) (fun (_x : RingHom.{max u4 u1, max u4 u2} (MvPolynomial.{u4, u1} S₃ R _inst_1) (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u4, u1} S₃ R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u4, u1} S₃ R _inst_1) (MvPolynomial.commSemiring.{u1, u4} R S₃ _inst_1))) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u4} S₁ S₃ _inst_2)))) => (MvPolynomial.{u4, u1} S₃ R _inst_1) -> (MvPolynomial.{u4, u2} S₃ S₁ _inst_2)) (RingHom.hasCoeToFun.{max u4 u1, max u4 u2} (MvPolynomial.{u4, u1} S₃ R _inst_1) (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u4, u1} S₃ R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u4, u1} S₃ R _inst_1) (MvPolynomial.commSemiring.{u1, u4} R S₃ _inst_1))) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u4} S₁ S₃ _inst_2)))) (MvPolynomial.map.{u1, u2, u4} R S₁ S₃ _inst_1 _inst_2 f)) g) (coeFn.{max (succ (max u3 u1)) (succ (max u3 u2)), max (succ (max u3 u1)) (succ (max u3 u2))} (RingHom.{max u3 u1, max u3 u2} (MvPolynomial.{u3, u1} S₂ R _inst_1) (MvPolynomial.{u3, u2} S₂ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} S₂ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} S₂ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R S₂ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} S₂ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} S₂ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ S₂ _inst_2)))) (fun (_x : RingHom.{max u3 u1, max u3 u2} (MvPolynomial.{u3, u1} S₂ R _inst_1) (MvPolynomial.{u3, u2} S₂ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} S₂ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} S₂ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R S₂ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} S₂ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} S₂ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ S₂ _inst_2)))) => (MvPolynomial.{u3, u1} S₂ R _inst_1) -> (MvPolynomial.{u3, u2} S₂ S₁ _inst_2)) (RingHom.hasCoeToFun.{max u3 u1, max u3 u2} (MvPolynomial.{u3, u1} S₂ R _inst_1) (MvPolynomial.{u3, u2} S₂ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} S₂ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} S₂ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R S₂ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} S₂ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} S₂ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ S₂ _inst_2)))) (MvPolynomial.map.{u1, u2, u3} R S₁ S₂ _inst_1 _inst_2 f) p))
 but is expected to have type
-  forall {R : Type.{u1}} {S₁ : Type.{u2}} {S₂ : Type.{u3}} {S₃ : Type.{u4}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] (f : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (g : S₂ -> (MvPolynomial.{u4, u1} S₃ R _inst_1)) (p : MvPolynomial.{u3, u1} S₂ R _inst_1), Eq.{max (succ u2) (succ u4)} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u4, u1} S₃ R _inst_1) => MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (MvPolynomial.eval₂.{u1, max u1 u4, u3} R (MvPolynomial.{u4, u1} S₃ R _inst_1) S₂ _inst_1 (MvPolynomial.commSemiring.{u1, u4} R S₃ _inst_1) (MvPolynomial.C.{u1, u4} R S₃ _inst_1) g p)) (FunLike.coe.{max (max (succ u1) (succ u2)) (succ u4), max (succ u1) (succ u4), max (succ u2) (succ u4)} (RingHom.{max u1 u4, max u2 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u1 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (CommSemiring.toSemiring.{max u1 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (MvPolynomial.commSemiring.{u1, u4} R S₃ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u4} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (CommSemiring.toSemiring.{max u2 u4} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u4} S₁ S₃ _inst_2)))) (MvPolynomial.{u4, u1} S₃ R _inst_1) (fun (_x : MvPolynomial.{u4, u1} S₃ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u4, u1} S₃ R _inst_1) => MvPolynomial.{u4, u2} S₃ S₁ _inst_2) _x) (MulHomClass.toFunLike.{max (max u1 u2) u4, max u1 u4, max u2 u4} (RingHom.{max u1 u4, max u2 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u1 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (CommSemiring.toSemiring.{max u1 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (MvPolynomial.commSemiring.{u1, u4} R S₃ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u4} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (CommSemiring.toSemiring.{max u2 u4} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u4} S₁ S₃ _inst_2)))) (MvPolynomial.{u4, u1} S₃ R _inst_1) (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (NonUnitalNonAssocSemiring.toMul.{max u1 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (CommSemiring.toSemiring.{max u1 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (MvPolynomial.commSemiring.{u1, u4} R S₃ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{max u2 u4} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u4} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u4} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (CommSemiring.toSemiring.{max u2 u4} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u4} S₁ S₃ _inst_2))))) (NonUnitalRingHomClass.toMulHomClass.{max (max u1 u2) u4, max u1 u4, max u2 u4} (RingHom.{max u1 u4, max u2 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u1 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (CommSemiring.toSemiring.{max u1 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (MvPolynomial.commSemiring.{u1, u4} R S₃ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u4} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (CommSemiring.toSemiring.{max u2 u4} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u4} S₁ S₃ _inst_2)))) (MvPolynomial.{u4, u1} S₃ R _inst_1) (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (CommSemiring.toSemiring.{max u1 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (MvPolynomial.commSemiring.{u1, u4} R S₃ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u4} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u4} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (CommSemiring.toSemiring.{max u2 u4} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u4} S₁ S₃ _inst_2)))) (RingHomClass.toNonUnitalRingHomClass.{max (max u1 u2) u4, max u1 u4, max u2 u4} (RingHom.{max u1 u4, max u2 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u1 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (CommSemiring.toSemiring.{max u1 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (MvPolynomial.commSemiring.{u1, u4} R S₃ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u4} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (CommSemiring.toSemiring.{max u2 u4} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u4} S₁ S₃ _inst_2)))) (MvPolynomial.{u4, u1} S₃ R _inst_1) (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u1 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (CommSemiring.toSemiring.{max u1 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (MvPolynomial.commSemiring.{u1, u4} R S₃ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u4} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (CommSemiring.toSemiring.{max u2 u4} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u4} S₁ S₃ _inst_2))) (RingHom.instRingHomClassRingHom.{max u1 u4, max u2 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u1 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (CommSemiring.toSemiring.{max u1 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (MvPolynomial.commSemiring.{u1, u4} R S₃ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u4} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (CommSemiring.toSemiring.{max u2 u4} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u4} S₁ S₃ _inst_2))))))) (MvPolynomial.map.{u1, u2, u4} R S₁ S₃ _inst_1 _inst_2 f) (MvPolynomial.eval₂.{u1, max u1 u4, u3} R (MvPolynomial.{u4, u1} S₃ R _inst_1) S₂ _inst_1 (MvPolynomial.commSemiring.{u1, u4} R S₃ _inst_1) (MvPolynomial.C.{u1, u4} R S₃ _inst_1) g p)) (MvPolynomial.eval₂.{u2, max u4 u2, u3} S₁ (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) S₂ _inst_2 (MvPolynomial.commSemiring.{u2, u4} S₁ S₃ _inst_2) (MvPolynomial.C.{u2, u4} S₁ S₃ _inst_2) (Function.comp.{succ u3, max (succ u1) (succ u4), max (succ u4) (succ u2)} S₂ (MvPolynomial.{u4, u1} S₃ R _inst_1) (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (FunLike.coe.{max (max (succ u1) (succ u2)) (succ u4), max (succ u1) (succ u4), max (succ u2) (succ u4)} (RingHom.{max u1 u4, max u2 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u1 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (CommSemiring.toSemiring.{max u1 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (MvPolynomial.commSemiring.{u1, u4} R S₃ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u4} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (CommSemiring.toSemiring.{max u2 u4} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u4} S₁ S₃ _inst_2)))) (MvPolynomial.{u4, u1} S₃ R _inst_1) (fun (_x : MvPolynomial.{u4, u1} S₃ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u4, u1} S₃ R _inst_1) => MvPolynomial.{u4, u2} S₃ S₁ _inst_2) _x) (MulHomClass.toFunLike.{max (max u1 u2) u4, max u1 u4, max u2 u4} (RingHom.{max u1 u4, max u2 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u1 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (CommSemiring.toSemiring.{max u1 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (MvPolynomial.commSemiring.{u1, u4} R S₃ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u4} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (CommSemiring.toSemiring.{max u2 u4} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u4} S₁ S₃ _inst_2)))) (MvPolynomial.{u4, u1} S₃ R _inst_1) (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (NonUnitalNonAssocSemiring.toMul.{max u1 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (CommSemiring.toSemiring.{max u1 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (MvPolynomial.commSemiring.{u1, u4} R S₃ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{max u2 u4} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u4} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u4} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (CommSemiring.toSemiring.{max u2 u4} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u4} S₁ S₃ _inst_2))))) (NonUnitalRingHomClass.toMulHomClass.{max (max u1 u2) u4, max u1 u4, max u2 u4} (RingHom.{max u1 u4, max u2 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u1 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (CommSemiring.toSemiring.{max u1 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (MvPolynomial.commSemiring.{u1, u4} R S₃ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u4} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (CommSemiring.toSemiring.{max u2 u4} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u4} S₁ S₃ _inst_2)))) (MvPolynomial.{u4, u1} S₃ R _inst_1) (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (CommSemiring.toSemiring.{max u1 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (MvPolynomial.commSemiring.{u1, u4} R S₃ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u4} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u4} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (CommSemiring.toSemiring.{max u2 u4} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u4} S₁ S₃ _inst_2)))) (RingHomClass.toNonUnitalRingHomClass.{max (max u1 u2) u4, max u1 u4, max u2 u4} (RingHom.{max u1 u4, max u2 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u1 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (CommSemiring.toSemiring.{max u1 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (MvPolynomial.commSemiring.{u1, u4} R S₃ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u4} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (CommSemiring.toSemiring.{max u2 u4} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u4} S₁ S₃ _inst_2)))) (MvPolynomial.{u4, u1} S₃ R _inst_1) (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u1 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (CommSemiring.toSemiring.{max u1 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (MvPolynomial.commSemiring.{u1, u4} R S₃ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u4} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (CommSemiring.toSemiring.{max u2 u4} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u4} S₁ S₃ _inst_2))) (RingHom.instRingHomClassRingHom.{max u1 u4, max u2 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u1 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (CommSemiring.toSemiring.{max u1 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (MvPolynomial.commSemiring.{u1, u4} R S₃ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u4} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (CommSemiring.toSemiring.{max u2 u4} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u4} S₁ S₃ _inst_2))))))) (MvPolynomial.map.{u1, u2, u4} R S₁ S₃ _inst_1 _inst_2 f)) g) (FunLike.coe.{max (max (succ u1) (succ u2)) (succ u3), max (succ u1) (succ u3), max (succ u2) (succ u3)} (RingHom.{max u1 u3, max u2 u3} (MvPolynomial.{u3, u1} S₂ R _inst_1) (MvPolynomial.{u3, u2} S₂ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u3, u1} S₂ R _inst_1) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u3, u1} S₂ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R S₂ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} S₂ S₁ _inst_2) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u3, u2} S₂ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ S₂ _inst_2)))) (MvPolynomial.{u3, u1} S₂ R _inst_1) (fun (_x : MvPolynomial.{u3, u1} S₂ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u3, u1} S₂ R _inst_1) => MvPolynomial.{u3, u2} S₂ S₁ _inst_2) _x) (MulHomClass.toFunLike.{max (max u1 u2) u3, max u1 u3, max u2 u3} (RingHom.{max u1 u3, max u2 u3} (MvPolynomial.{u3, u1} S₂ R _inst_1) (MvPolynomial.{u3, u2} S₂ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u3, u1} S₂ R _inst_1) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u3, u1} S₂ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R S₂ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} S₂ S₁ _inst_2) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u3, u2} S₂ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ S₂ _inst_2)))) (MvPolynomial.{u3, u1} S₂ R _inst_1) (MvPolynomial.{u3, u2} S₂ S₁ _inst_2) (NonUnitalNonAssocSemiring.toMul.{max u1 u3} (MvPolynomial.{u3, u1} S₂ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u3, u1} S₂ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u3, u1} S₂ R _inst_1) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u3, u1} S₂ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R S₂ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{max u2 u3} (MvPolynomial.{u3, u2} S₂ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} S₂ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} S₂ S₁ _inst_2) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u3, u2} S₂ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ S₂ _inst_2))))) (NonUnitalRingHomClass.toMulHomClass.{max (max u1 u2) u3, max u1 u3, max u2 u3} (RingHom.{max u1 u3, max u2 u3} (MvPolynomial.{u3, u1} S₂ R _inst_1) (MvPolynomial.{u3, u2} S₂ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u3, u1} S₂ R _inst_1) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u3, u1} S₂ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R S₂ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} S₂ S₁ _inst_2) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u3, u2} S₂ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ S₂ _inst_2)))) (MvPolynomial.{u3, u1} S₂ R _inst_1) (MvPolynomial.{u3, u2} S₂ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u3, u1} S₂ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u3, u1} S₂ R _inst_1) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u3, u1} S₂ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R S₂ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} S₂ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} S₂ S₁ _inst_2) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u3, u2} S₂ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ S₂ _inst_2)))) (RingHomClass.toNonUnitalRingHomClass.{max (max u1 u2) u3, max u1 u3, max u2 u3} (RingHom.{max u1 u3, max u2 u3} (MvPolynomial.{u3, u1} S₂ R _inst_1) (MvPolynomial.{u3, u2} S₂ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u3, u1} S₂ R _inst_1) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u3, u1} S₂ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R S₂ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} S₂ S₁ _inst_2) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u3, u2} S₂ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ S₂ _inst_2)))) (MvPolynomial.{u3, u1} S₂ R _inst_1) (MvPolynomial.{u3, u2} S₂ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u3, u1} S₂ R _inst_1) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u3, u1} S₂ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R S₂ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} S₂ S₁ _inst_2) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u3, u2} S₂ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ S₂ _inst_2))) (RingHom.instRingHomClassRingHom.{max u1 u3, max u2 u3} (MvPolynomial.{u3, u1} S₂ R _inst_1) (MvPolynomial.{u3, u2} S₂ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u3, u1} S₂ R _inst_1) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u3, u1} S₂ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R S₂ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} S₂ S₁ _inst_2) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u3, u2} S₂ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ S₂ _inst_2))))))) (MvPolynomial.map.{u1, u2, u3} R S₁ S₂ _inst_1 _inst_2 f) p))
+  forall {R : Type.{u1}} {S₁ : Type.{u2}} {S₂ : Type.{u3}} {S₃ : Type.{u4}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] (f : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (g : S₂ -> (MvPolynomial.{u4, u1} S₃ R _inst_1)) (p : MvPolynomial.{u3, u1} S₂ R _inst_1), Eq.{max (succ u2) (succ u4)} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u4, u1} S₃ R _inst_1) => MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (MvPolynomial.eval₂.{u1, max u1 u4, u3} R (MvPolynomial.{u4, u1} S₃ R _inst_1) S₂ _inst_1 (MvPolynomial.commSemiring.{u1, u4} R S₃ _inst_1) (MvPolynomial.C.{u1, u4} R S₃ _inst_1) g p)) (FunLike.coe.{max (max (succ u1) (succ u2)) (succ u4), max (succ u1) (succ u4), max (succ u2) (succ u4)} (RingHom.{max u1 u4, max u2 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u1 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (CommSemiring.toSemiring.{max u1 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (MvPolynomial.commSemiring.{u1, u4} R S₃ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u4} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (CommSemiring.toSemiring.{max u2 u4} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u4} S₁ S₃ _inst_2)))) (MvPolynomial.{u4, u1} S₃ R _inst_1) (fun (_x : MvPolynomial.{u4, u1} S₃ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u4, u1} S₃ R _inst_1) => MvPolynomial.{u4, u2} S₃ S₁ _inst_2) _x) (MulHomClass.toFunLike.{max (max u1 u2) u4, max u1 u4, max u2 u4} (RingHom.{max u1 u4, max u2 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u1 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (CommSemiring.toSemiring.{max u1 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (MvPolynomial.commSemiring.{u1, u4} R S₃ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u4} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (CommSemiring.toSemiring.{max u2 u4} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u4} S₁ S₃ _inst_2)))) (MvPolynomial.{u4, u1} S₃ R _inst_1) (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (NonUnitalNonAssocSemiring.toMul.{max u1 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (CommSemiring.toSemiring.{max u1 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (MvPolynomial.commSemiring.{u1, u4} R S₃ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{max u2 u4} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u4} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u4} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (CommSemiring.toSemiring.{max u2 u4} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u4} S₁ S₃ _inst_2))))) (NonUnitalRingHomClass.toMulHomClass.{max (max u1 u2) u4, max u1 u4, max u2 u4} (RingHom.{max u1 u4, max u2 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u1 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (CommSemiring.toSemiring.{max u1 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (MvPolynomial.commSemiring.{u1, u4} R S₃ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u4} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (CommSemiring.toSemiring.{max u2 u4} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u4} S₁ S₃ _inst_2)))) (MvPolynomial.{u4, u1} S₃ R _inst_1) (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (CommSemiring.toSemiring.{max u1 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (MvPolynomial.commSemiring.{u1, u4} R S₃ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u4} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u4} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (CommSemiring.toSemiring.{max u2 u4} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u4} S₁ S₃ _inst_2)))) (RingHomClass.toNonUnitalRingHomClass.{max (max u1 u2) u4, max u1 u4, max u2 u4} (RingHom.{max u1 u4, max u2 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u1 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (CommSemiring.toSemiring.{max u1 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (MvPolynomial.commSemiring.{u1, u4} R S₃ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u4} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (CommSemiring.toSemiring.{max u2 u4} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u4} S₁ S₃ _inst_2)))) (MvPolynomial.{u4, u1} S₃ R _inst_1) (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u1 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (CommSemiring.toSemiring.{max u1 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (MvPolynomial.commSemiring.{u1, u4} R S₃ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u4} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (CommSemiring.toSemiring.{max u2 u4} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u4} S₁ S₃ _inst_2))) (RingHom.instRingHomClassRingHom.{max u1 u4, max u2 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u1 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (CommSemiring.toSemiring.{max u1 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (MvPolynomial.commSemiring.{u1, u4} R S₃ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u4} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (CommSemiring.toSemiring.{max u2 u4} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u4} S₁ S₃ _inst_2))))))) (MvPolynomial.map.{u1, u2, u4} R S₁ S₃ _inst_1 _inst_2 f) (MvPolynomial.eval₂.{u1, max u1 u4, u3} R (MvPolynomial.{u4, u1} S₃ R _inst_1) S₂ _inst_1 (MvPolynomial.commSemiring.{u1, u4} R S₃ _inst_1) (MvPolynomial.C.{u1, u4} R S₃ _inst_1) g p)) (MvPolynomial.eval₂.{u2, max u4 u2, u3} S₁ (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) S₂ _inst_2 (MvPolynomial.commSemiring.{u2, u4} S₁ S₃ _inst_2) (MvPolynomial.C.{u2, u4} S₁ S₃ _inst_2) (Function.comp.{succ u3, max (succ u1) (succ u4), max (succ u4) (succ u2)} S₂ (MvPolynomial.{u4, u1} S₃ R _inst_1) (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (FunLike.coe.{max (max (succ u1) (succ u2)) (succ u4), max (succ u1) (succ u4), max (succ u2) (succ u4)} (RingHom.{max u1 u4, max u2 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u1 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (CommSemiring.toSemiring.{max u1 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (MvPolynomial.commSemiring.{u1, u4} R S₃ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u4} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (CommSemiring.toSemiring.{max u2 u4} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u4} S₁ S₃ _inst_2)))) (MvPolynomial.{u4, u1} S₃ R _inst_1) (fun (_x : MvPolynomial.{u4, u1} S₃ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u4, u1} S₃ R _inst_1) => MvPolynomial.{u4, u2} S₃ S₁ _inst_2) _x) (MulHomClass.toFunLike.{max (max u1 u2) u4, max u1 u4, max u2 u4} (RingHom.{max u1 u4, max u2 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u1 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (CommSemiring.toSemiring.{max u1 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (MvPolynomial.commSemiring.{u1, u4} R S₃ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u4} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (CommSemiring.toSemiring.{max u2 u4} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u4} S₁ S₃ _inst_2)))) (MvPolynomial.{u4, u1} S₃ R _inst_1) (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (NonUnitalNonAssocSemiring.toMul.{max u1 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (CommSemiring.toSemiring.{max u1 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (MvPolynomial.commSemiring.{u1, u4} R S₃ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{max u2 u4} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u4} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u4} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (CommSemiring.toSemiring.{max u2 u4} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u4} S₁ S₃ _inst_2))))) (NonUnitalRingHomClass.toMulHomClass.{max (max u1 u2) u4, max u1 u4, max u2 u4} (RingHom.{max u1 u4, max u2 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u1 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (CommSemiring.toSemiring.{max u1 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (MvPolynomial.commSemiring.{u1, u4} R S₃ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u4} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (CommSemiring.toSemiring.{max u2 u4} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u4} S₁ S₃ _inst_2)))) (MvPolynomial.{u4, u1} S₃ R _inst_1) (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (CommSemiring.toSemiring.{max u1 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (MvPolynomial.commSemiring.{u1, u4} R S₃ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u4} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u4} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (CommSemiring.toSemiring.{max u2 u4} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u4} S₁ S₃ _inst_2)))) (RingHomClass.toNonUnitalRingHomClass.{max (max u1 u2) u4, max u1 u4, max u2 u4} (RingHom.{max u1 u4, max u2 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u1 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (CommSemiring.toSemiring.{max u1 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (MvPolynomial.commSemiring.{u1, u4} R S₃ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u4} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (CommSemiring.toSemiring.{max u2 u4} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u4} S₁ S₃ _inst_2)))) (MvPolynomial.{u4, u1} S₃ R _inst_1) (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u1 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (CommSemiring.toSemiring.{max u1 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (MvPolynomial.commSemiring.{u1, u4} R S₃ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u4} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (CommSemiring.toSemiring.{max u2 u4} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u4} S₁ S₃ _inst_2))) (RingHom.instRingHomClassRingHom.{max u1 u4, max u2 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u1 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (CommSemiring.toSemiring.{max u1 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (MvPolynomial.commSemiring.{u1, u4} R S₃ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u4} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (CommSemiring.toSemiring.{max u2 u4} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u4} S₁ S₃ _inst_2))))))) (MvPolynomial.map.{u1, u2, u4} R S₁ S₃ _inst_1 _inst_2 f)) g) (FunLike.coe.{max (max (succ u1) (succ u2)) (succ u3), max (succ u1) (succ u3), max (succ u2) (succ u3)} (RingHom.{max u1 u3, max u2 u3} (MvPolynomial.{u3, u1} S₂ R _inst_1) (MvPolynomial.{u3, u2} S₂ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u3, u1} S₂ R _inst_1) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u3, u1} S₂ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R S₂ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} S₂ S₁ _inst_2) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u3, u2} S₂ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ S₂ _inst_2)))) (MvPolynomial.{u3, u1} S₂ R _inst_1) (fun (_x : MvPolynomial.{u3, u1} S₂ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u3, u1} S₂ R _inst_1) => MvPolynomial.{u3, u2} S₂ S₁ _inst_2) _x) (MulHomClass.toFunLike.{max (max u1 u2) u3, max u1 u3, max u2 u3} (RingHom.{max u1 u3, max u2 u3} (MvPolynomial.{u3, u1} S₂ R _inst_1) (MvPolynomial.{u3, u2} S₂ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u3, u1} S₂ R _inst_1) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u3, u1} S₂ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R S₂ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} S₂ S₁ _inst_2) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u3, u2} S₂ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ S₂ _inst_2)))) (MvPolynomial.{u3, u1} S₂ R _inst_1) (MvPolynomial.{u3, u2} S₂ S₁ _inst_2) (NonUnitalNonAssocSemiring.toMul.{max u1 u3} (MvPolynomial.{u3, u1} S₂ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u3, u1} S₂ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u3, u1} S₂ R _inst_1) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u3, u1} S₂ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R S₂ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{max u2 u3} (MvPolynomial.{u3, u2} S₂ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} S₂ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} S₂ S₁ _inst_2) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u3, u2} S₂ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ S₂ _inst_2))))) (NonUnitalRingHomClass.toMulHomClass.{max (max u1 u2) u3, max u1 u3, max u2 u3} (RingHom.{max u1 u3, max u2 u3} (MvPolynomial.{u3, u1} S₂ R _inst_1) (MvPolynomial.{u3, u2} S₂ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u3, u1} S₂ R _inst_1) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u3, u1} S₂ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R S₂ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} S₂ S₁ _inst_2) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u3, u2} S₂ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ S₂ _inst_2)))) (MvPolynomial.{u3, u1} S₂ R _inst_1) (MvPolynomial.{u3, u2} S₂ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u3, u1} S₂ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u3, u1} S₂ R _inst_1) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u3, u1} S₂ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R S₂ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} S₂ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} S₂ S₁ _inst_2) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u3, u2} S₂ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ S₂ _inst_2)))) (RingHomClass.toNonUnitalRingHomClass.{max (max u1 u2) u3, max u1 u3, max u2 u3} (RingHom.{max u1 u3, max u2 u3} (MvPolynomial.{u3, u1} S₂ R _inst_1) (MvPolynomial.{u3, u2} S₂ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u3, u1} S₂ R _inst_1) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u3, u1} S₂ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R S₂ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} S₂ S₁ _inst_2) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u3, u2} S₂ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ S₂ _inst_2)))) (MvPolynomial.{u3, u1} S₂ R _inst_1) (MvPolynomial.{u3, u2} S₂ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u3, u1} S₂ R _inst_1) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u3, u1} S₂ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R S₂ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} S₂ S₁ _inst_2) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u3, u2} S₂ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ S₂ _inst_2))) (RingHom.instRingHomClassRingHom.{max u1 u3, max u2 u3} (MvPolynomial.{u3, u1} S₂ R _inst_1) (MvPolynomial.{u3, u2} S₂ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u3, u1} S₂ R _inst_1) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u3, u1} S₂ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R S₂ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} S₂ S₁ _inst_2) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u3, u2} S₂ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ S₂ _inst_2))))))) (MvPolynomial.map.{u1, u2, u3} R S₁ S₂ _inst_1 _inst_2 f) p))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.map_eval₂ MvPolynomial.map_eval₂ₓ'. -/
 theorem map_eval₂ (f : R →+* S₁) (g : S₂ → MvPolynomial S₃ R) (p : MvPolynomial S₂ R) :
     map f (eval₂ C g p) = eval₂ C (map f ∘ g) (map f p) :=
@@ -2244,7 +2244,7 @@ theorem map_eval₂ (f : R →+* S₁) (g : S₂ → MvPolynomial S₃ R) (p : M
 lean 3 declaration is
   forall {R : Type.{u1}} {S₁ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] (f : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (p : MvPolynomial.{u3, u1} σ R _inst_1) (m : Finsupp.{u3, 0} σ Nat Nat.hasZero), Eq.{succ u2} S₁ (MvPolynomial.coeff.{u2, u3} S₁ σ _inst_2 m (coeFn.{max (succ (max u3 u1)) (succ (max u3 u2)), max (succ (max u3 u1)) (succ (max u3 u2))} (RingHom.{max u3 u1, max u3 u2} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))) (fun (_x : RingHom.{max u3 u1, max u3 u2} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))) => (MvPolynomial.{u3, u1} σ R _inst_1) -> (MvPolynomial.{u3, u2} σ S₁ _inst_2)) (RingHom.hasCoeToFun.{max u3 u1, max u3 u2} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))) (MvPolynomial.map.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 f) p)) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (fun (_x : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) => R -> S₁) (RingHom.hasCoeToFun.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) f (MvPolynomial.coeff.{u1, u3} R σ _inst_1 m p))
 but is expected to have type
-  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] (f : RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (p : MvPolynomial.{u1, u2} σ R _inst_1) (m : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)), Eq.{succ u3} S₁ (MvPolynomial.coeff.{u3, u1} S₁ σ _inst_2 m (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u2) (succ u1), max (succ u3) (succ u1)} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u3} σ S₁ _inst_2) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (RingHom.instRingHomClassRingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))))) (MvPolynomial.map.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f) p)) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) _x) (MulHomClass.toFunLike.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) f (MvPolynomial.coeff.{u2, u1} R σ _inst_1 m p))
+  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] (f : RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (p : MvPolynomial.{u1, u2} σ R _inst_1) (m : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)), Eq.{succ u3} S₁ (MvPolynomial.coeff.{u3, u1} S₁ σ _inst_2 m (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u2) (succ u1), max (succ u3) (succ u1)} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u3} σ S₁ _inst_2) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (RingHom.instRingHomClassRingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))))) (MvPolynomial.map.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f) p)) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) _x) (MulHomClass.toFunLike.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) f (MvPolynomial.coeff.{u2, u1} R σ _inst_1 m p))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.coeff_map MvPolynomial.coeff_mapₓ'. -/
 theorem coeff_map (p : MvPolynomial σ R) : ∀ m : σ →₀ ℕ, coeff m (map f p) = f (coeff m p) := by
   classical
@@ -2270,7 +2270,7 @@ theorem coeff_map (p : MvPolynomial σ R) : ∀ m : σ →₀ ℕ, coeff m (map
 lean 3 declaration is
   forall {R : Type.{u1}} {S₁ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] (f : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))), (Function.Injective.{succ u1, succ u2} R S₁ (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (fun (_x : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) => R -> S₁) (RingHom.hasCoeToFun.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) f)) -> (Function.Injective.{max (succ u3) (succ u1), max (succ u3) (succ u2)} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u2} σ S₁ _inst_2) (coeFn.{max (succ (max u3 u1)) (succ (max u3 u2)), max (succ (max u3 u1)) (succ (max u3 u2))} (RingHom.{max u3 u1, max u3 u2} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))) (fun (_x : RingHom.{max u3 u1, max u3 u2} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))) => (MvPolynomial.{u3, u1} σ R _inst_1) -> (MvPolynomial.{u3, u2} σ S₁ _inst_2)) (RingHom.hasCoeToFun.{max u3 u1, max u3 u2} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))) (MvPolynomial.map.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 f)))
 but is expected to have type
-  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] (f : RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))), (Function.Injective.{succ u2, succ u3} R S₁ (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) _x) (MulHomClass.toFunLike.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) f)) -> (Function.Injective.{max (succ u2) (succ u1), max (succ u3) (succ u1)} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u2) (succ u1), max (succ u3) (succ u1)} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u3} σ S₁ _inst_2) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (RingHom.instRingHomClassRingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))))) (MvPolynomial.map.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f)))
+  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] (f : RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))), (Function.Injective.{succ u2, succ u3} R S₁ (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) _x) (MulHomClass.toFunLike.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) f)) -> (Function.Injective.{max (succ u2) (succ u1), max (succ u3) (succ u1)} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u2) (succ u1), max (succ u3) (succ u1)} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u3} σ S₁ _inst_2) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (RingHom.instRingHomClassRingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))))) (MvPolynomial.map.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f)))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.map_injective MvPolynomial.map_injectiveₓ'. -/
 theorem map_injective (hf : Function.Injective f) :
     Function.Injective (map f : MvPolynomial σ R → MvPolynomial σ S₁) :=
@@ -2285,7 +2285,7 @@ theorem map_injective (hf : Function.Injective f) :
 lean 3 declaration is
   forall {R : Type.{u1}} {S₁ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] (f : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))), (Function.Surjective.{succ u1, succ u2} R S₁ (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (fun (_x : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) => R -> S₁) (RingHom.hasCoeToFun.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) f)) -> (Function.Surjective.{max (succ u3) (succ u1), max (succ u3) (succ u2)} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u2} σ S₁ _inst_2) (coeFn.{max (succ (max u3 u1)) (succ (max u3 u2)), max (succ (max u3 u1)) (succ (max u3 u2))} (RingHom.{max u3 u1, max u3 u2} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))) (fun (_x : RingHom.{max u3 u1, max u3 u2} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))) => (MvPolynomial.{u3, u1} σ R _inst_1) -> (MvPolynomial.{u3, u2} σ S₁ _inst_2)) (RingHom.hasCoeToFun.{max u3 u1, max u3 u2} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))) (MvPolynomial.map.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 f)))
 but is expected to have type
-  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] (f : RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))), (Function.Surjective.{succ u2, succ u3} R S₁ (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) _x) (MulHomClass.toFunLike.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) f)) -> (Function.Surjective.{max (succ u2) (succ u1), max (succ u3) (succ u1)} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u2) (succ u1), max (succ u3) (succ u1)} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u3} σ S₁ _inst_2) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (RingHom.instRingHomClassRingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))))) (MvPolynomial.map.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f)))
+  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] (f : RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))), (Function.Surjective.{succ u2, succ u3} R S₁ (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) _x) (MulHomClass.toFunLike.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) f)) -> (Function.Surjective.{max (succ u2) (succ u1), max (succ u3) (succ u1)} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u2) (succ u1), max (succ u3) (succ u1)} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u3} σ S₁ _inst_2) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (RingHom.instRingHomClassRingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))))) (MvPolynomial.map.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f)))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.map_surjective MvPolynomial.map_surjectiveₓ'. -/
 theorem map_surjective (hf : Function.Surjective f) :
     Function.Surjective (map f : MvPolynomial σ R → MvPolynomial σ S₁) := fun p =>
@@ -2302,7 +2302,7 @@ theorem map_surjective (hf : Function.Surjective f) :
 lean 3 declaration is
   forall {R : Type.{u1}} {S₁ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] {f : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))} {g : RingHom.{u2, u1} S₁ R (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))}, (Function.LeftInverse.{succ u2, succ u1} S₁ R (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (fun (_x : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) => R -> S₁) (RingHom.hasCoeToFun.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) f) (coeFn.{max (succ u2) (succ u1), max (succ u2) (succ u1)} (RingHom.{u2, u1} S₁ R (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (fun (_x : RingHom.{u2, u1} S₁ R (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) => S₁ -> R) (RingHom.hasCoeToFun.{u2, u1} S₁ R (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) g)) -> (Function.LeftInverse.{max (succ u3) (succ u2), max (succ u3) (succ u1)} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.{u3, u1} σ R _inst_1) (coeFn.{max (succ (max u3 u1)) (succ (max u3 u2)), max (succ (max u3 u1)) (succ (max u3 u2))} (RingHom.{max u3 u1, max u3 u2} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))) (fun (_x : RingHom.{max u3 u1, max u3 u2} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))) => (MvPolynomial.{u3, u1} σ R _inst_1) -> (MvPolynomial.{u3, u2} σ S₁ _inst_2)) (RingHom.hasCoeToFun.{max u3 u1, max u3 u2} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))) (MvPolynomial.map.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 f)) (coeFn.{max (succ (max u3 u2)) (succ (max u3 u1)), max (succ (max u3 u2)) (succ (max u3 u1))} (RingHom.{max u3 u2, max u3 u1} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)))) (fun (_x : RingHom.{max u3 u2, max u3 u1} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)))) => (MvPolynomial.{u3, u2} σ S₁ _inst_2) -> (MvPolynomial.{u3, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{max u3 u2, max u3 u1} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)))) (MvPolynomial.map.{u2, u1, u3} S₁ R σ _inst_2 _inst_1 g)))
 but is expected to have type
-  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] {f : RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))} {g : RingHom.{u3, u2} S₁ R (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))}, (Function.LeftInverse.{succ u3, succ u2} S₁ R (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) _x) (MulHomClass.toFunLike.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) f) (FunLike.coe.{max (succ u2) (succ u3), succ u3, succ u2} (RingHom.{u3, u2} S₁ R (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) S₁ (fun (_x : S₁) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : S₁) => R) _x) (MulHomClass.toFunLike.{max u2 u3, u3, u2} (RingHom.{u3, u2} S₁ R (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) S₁ R (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u3, u3, u2} (RingHom.{u3, u2} S₁ R (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) S₁ R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u3, u3, u2} (RingHom.{u3, u2} S₁ R (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) S₁ R (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (RingHom.instRingHomClassRingHom.{u3, u2} S₁ R (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))))) g)) -> (Function.LeftInverse.{max (succ u3) (succ u1), max (succ u2) (succ u1)} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.{u1, u2} σ R _inst_1) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u2) (succ u1), max (succ u3) (succ u1)} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u3} σ S₁ _inst_2) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (RingHom.instRingHomClassRingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))))) (MvPolynomial.map.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f)) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u3) (succ u1), max (succ u2) (succ u1)} (RingHom.{max u3 u1, max u2 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (fun (_x : MvPolynomial.{u1, u3} σ S₁ _inst_2) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u3} σ S₁ _inst_2) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, max u3 u1, max u2 u1} (RingHom.{max u3 u1, max u2 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, max u3 u1, max u2 u1} (RingHom.{max u3 u1, max u2 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, max u3 u1, max u2 u1} (RingHom.{max u3 u1, max u2 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{max u3 u1, max u2 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.map.{u3, u2, u1} S₁ R σ _inst_2 _inst_1 g)))
+  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] {f : RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))} {g : RingHom.{u3, u2} S₁ R (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))}, (Function.LeftInverse.{succ u3, succ u2} S₁ R (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) _x) (MulHomClass.toFunLike.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) f) (FunLike.coe.{max (succ u2) (succ u3), succ u3, succ u2} (RingHom.{u3, u2} S₁ R (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) S₁ (fun (_x : S₁) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : S₁) => R) _x) (MulHomClass.toFunLike.{max u2 u3, u3, u2} (RingHom.{u3, u2} S₁ R (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) S₁ R (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u3, u3, u2} (RingHom.{u3, u2} S₁ R (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) S₁ R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u3, u3, u2} (RingHom.{u3, u2} S₁ R (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) S₁ R (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (RingHom.instRingHomClassRingHom.{u3, u2} S₁ R (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))))) g)) -> (Function.LeftInverse.{max (succ u3) (succ u1), max (succ u2) (succ u1)} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.{u1, u2} σ R _inst_1) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u2) (succ u1), max (succ u3) (succ u1)} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u3} σ S₁ _inst_2) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (RingHom.instRingHomClassRingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))))) (MvPolynomial.map.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f)) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u3) (succ u1), max (succ u2) (succ u1)} (RingHom.{max u3 u1, max u2 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (fun (_x : MvPolynomial.{u1, u3} σ S₁ _inst_2) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u3} σ S₁ _inst_2) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, max u3 u1, max u2 u1} (RingHom.{max u3 u1, max u2 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, max u3 u1, max u2 u1} (RingHom.{max u3 u1, max u2 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, max u3 u1, max u2 u1} (RingHom.{max u3 u1, max u2 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{max u3 u1, max u2 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.map.{u3, u2, u1} S₁ R σ _inst_2 _inst_1 g)))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.map_left_inverse MvPolynomial.map_leftInverseₓ'. -/
 /-- If `f` is a left-inverse of `g` then `map f` is a left-inverse of `map g`. -/
 theorem map_leftInverse {f : R →+* S₁} {g : S₁ →+* R} (hf : Function.LeftInverse f g) :
@@ -2314,7 +2314,7 @@ theorem map_leftInverse {f : R →+* S₁} {g : S₁ →+* R} (hf : Function.Lef
 lean 3 declaration is
   forall {R : Type.{u1}} {S₁ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] {f : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))} {g : RingHom.{u2, u1} S₁ R (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))}, (Function.RightInverse.{succ u2, succ u1} S₁ R (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (fun (_x : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) => R -> S₁) (RingHom.hasCoeToFun.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) f) (coeFn.{max (succ u2) (succ u1), max (succ u2) (succ u1)} (RingHom.{u2, u1} S₁ R (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (fun (_x : RingHom.{u2, u1} S₁ R (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) => S₁ -> R) (RingHom.hasCoeToFun.{u2, u1} S₁ R (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) g)) -> (Function.RightInverse.{max (succ u3) (succ u2), max (succ u3) (succ u1)} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.{u3, u1} σ R _inst_1) (coeFn.{max (succ (max u3 u1)) (succ (max u3 u2)), max (succ (max u3 u1)) (succ (max u3 u2))} (RingHom.{max u3 u1, max u3 u2} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))) (fun (_x : RingHom.{max u3 u1, max u3 u2} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))) => (MvPolynomial.{u3, u1} σ R _inst_1) -> (MvPolynomial.{u3, u2} σ S₁ _inst_2)) (RingHom.hasCoeToFun.{max u3 u1, max u3 u2} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))) (MvPolynomial.map.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 f)) (coeFn.{max (succ (max u3 u2)) (succ (max u3 u1)), max (succ (max u3 u2)) (succ (max u3 u1))} (RingHom.{max u3 u2, max u3 u1} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)))) (fun (_x : RingHom.{max u3 u2, max u3 u1} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)))) => (MvPolynomial.{u3, u2} σ S₁ _inst_2) -> (MvPolynomial.{u3, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{max u3 u2, max u3 u1} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)))) (MvPolynomial.map.{u2, u1, u3} S₁ R σ _inst_2 _inst_1 g)))
 but is expected to have type
-  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] {f : RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))} {g : RingHom.{u3, u2} S₁ R (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))}, (Function.RightInverse.{succ u3, succ u2} S₁ R (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) _x) (MulHomClass.toFunLike.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) f) (FunLike.coe.{max (succ u2) (succ u3), succ u3, succ u2} (RingHom.{u3, u2} S₁ R (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) S₁ (fun (_x : S₁) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : S₁) => R) _x) (MulHomClass.toFunLike.{max u2 u3, u3, u2} (RingHom.{u3, u2} S₁ R (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) S₁ R (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u3, u3, u2} (RingHom.{u3, u2} S₁ R (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) S₁ R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u3, u3, u2} (RingHom.{u3, u2} S₁ R (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) S₁ R (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (RingHom.instRingHomClassRingHom.{u3, u2} S₁ R (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))))) g)) -> (Function.RightInverse.{max (succ u3) (succ u1), max (succ u2) (succ u1)} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.{u1, u2} σ R _inst_1) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u2) (succ u1), max (succ u3) (succ u1)} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u3} σ S₁ _inst_2) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (RingHom.instRingHomClassRingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))))) (MvPolynomial.map.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f)) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u3) (succ u1), max (succ u2) (succ u1)} (RingHom.{max u3 u1, max u2 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (fun (_x : MvPolynomial.{u1, u3} σ S₁ _inst_2) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u3} σ S₁ _inst_2) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, max u3 u1, max u2 u1} (RingHom.{max u3 u1, max u2 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, max u3 u1, max u2 u1} (RingHom.{max u3 u1, max u2 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, max u3 u1, max u2 u1} (RingHom.{max u3 u1, max u2 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{max u3 u1, max u2 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.map.{u3, u2, u1} S₁ R σ _inst_2 _inst_1 g)))
+  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] {f : RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))} {g : RingHom.{u3, u2} S₁ R (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))}, (Function.RightInverse.{succ u3, succ u2} S₁ R (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) _x) (MulHomClass.toFunLike.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) f) (FunLike.coe.{max (succ u2) (succ u3), succ u3, succ u2} (RingHom.{u3, u2} S₁ R (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) S₁ (fun (_x : S₁) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : S₁) => R) _x) (MulHomClass.toFunLike.{max u2 u3, u3, u2} (RingHom.{u3, u2} S₁ R (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) S₁ R (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u3, u3, u2} (RingHom.{u3, u2} S₁ R (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) S₁ R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u3, u3, u2} (RingHom.{u3, u2} S₁ R (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) S₁ R (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (RingHom.instRingHomClassRingHom.{u3, u2} S₁ R (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))))) g)) -> (Function.RightInverse.{max (succ u3) (succ u1), max (succ u2) (succ u1)} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.{u1, u2} σ R _inst_1) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u2) (succ u1), max (succ u3) (succ u1)} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u3} σ S₁ _inst_2) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (RingHom.instRingHomClassRingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))))) (MvPolynomial.map.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f)) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u3) (succ u1), max (succ u2) (succ u1)} (RingHom.{max u3 u1, max u2 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (fun (_x : MvPolynomial.{u1, u3} σ S₁ _inst_2) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u3} σ S₁ _inst_2) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, max u3 u1, max u2 u1} (RingHom.{max u3 u1, max u2 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, max u3 u1, max u2 u1} (RingHom.{max u3 u1, max u2 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, max u3 u1, max u2 u1} (RingHom.{max u3 u1, max u2 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{max u3 u1, max u2 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.map.{u3, u2, u1} S₁ R σ _inst_2 _inst_1 g)))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.map_right_inverse MvPolynomial.map_rightInverseₓ'. -/
 /-- If `f` is a right-inverse of `g` then `map f` is a right-inverse of `map g`. -/
 theorem map_rightInverse {f : R →+* S₁} {g : S₁ →+* R} (hf : Function.RightInverse f g) :
@@ -2326,7 +2326,7 @@ theorem map_rightInverse {f : R →+* S₁} {g : S₁ →+* R} (hf : Function.Ri
 lean 3 declaration is
   forall {R : Type.{u1}} {S₁ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] (f : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (g : σ -> S₁) (p : MvPolynomial.{u3, u1} σ R _inst_1), Eq.{succ u2} S₁ (coeFn.{max (succ (max u3 u2)) (succ u2), max (succ (max u3 u2)) (succ u2)} (RingHom.{max u3 u2, u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (fun (_x : RingHom.{max u3 u2, u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) => (MvPolynomial.{u3, u2} σ S₁ _inst_2) -> S₁) (RingHom.hasCoeToFun.{max u3 u2, u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (MvPolynomial.eval.{u2, u3} S₁ σ _inst_2 g) (coeFn.{max (succ (max u3 u1)) (succ (max u3 u2)), max (succ (max u3 u1)) (succ (max u3 u2))} (RingHom.{max u3 u1, max u3 u2} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))) (fun (_x : RingHom.{max u3 u1, max u3 u2} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))) => (MvPolynomial.{u3, u1} σ R _inst_1) -> (MvPolynomial.{u3, u2} σ S₁ _inst_2)) (RingHom.hasCoeToFun.{max u3 u1, max u3 u2} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))) (MvPolynomial.map.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 f) p)) (MvPolynomial.eval₂.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 f g p)
 but is expected to have type
-  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] (f : RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (g : σ -> S₁) (p : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u3} σ S₁ _inst_2) => S₁) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u2) (succ u1), max (succ u3) (succ u1)} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (a : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u3} σ S₁ _inst_2) a) (MulHomClass.toFunLike.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (RingHom.instRingHomClassRingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))))) (MvPolynomial.map.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f) p)) (FunLike.coe.{max (succ u3) (succ u1), max (succ u3) (succ u1), succ u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (fun (_x : MvPolynomial.{u1, u3} σ S₁ _inst_2) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u3} σ S₁ _inst_2) => S₁) _x) (MulHomClass.toFunLike.{max u3 u1, max u3 u1, u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u3 u1, max u3 u1, u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u3 u1, max u3 u1, u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (MvPolynomial.eval.{u3, u1} S₁ σ _inst_2 g) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u2) (succ u1), max (succ u3) (succ u1)} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u3} σ S₁ _inst_2) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (RingHom.instRingHomClassRingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))))) (MvPolynomial.map.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f) p)) (MvPolynomial.eval₂.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f g p)
+  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] (f : RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (g : σ -> S₁) (p : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u3} σ S₁ _inst_2) => S₁) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u2) (succ u1), max (succ u3) (succ u1)} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (a : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u3} σ S₁ _inst_2) a) (MulHomClass.toFunLike.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (RingHom.instRingHomClassRingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))))) (MvPolynomial.map.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f) p)) (FunLike.coe.{max (succ u3) (succ u1), max (succ u3) (succ u1), succ u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (fun (_x : MvPolynomial.{u1, u3} σ S₁ _inst_2) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u3} σ S₁ _inst_2) => S₁) _x) (MulHomClass.toFunLike.{max u3 u1, max u3 u1, u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u3 u1, max u3 u1, u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u3 u1, max u3 u1, u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (MvPolynomial.eval.{u3, u1} S₁ σ _inst_2 g) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u2) (succ u1), max (succ u3) (succ u1)} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u3} σ S₁ _inst_2) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (RingHom.instRingHomClassRingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))))) (MvPolynomial.map.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f) p)) (MvPolynomial.eval₂.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f g p)
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval_map MvPolynomial.eval_mapₓ'. -/
 @[simp]
 theorem eval_map (f : R →+* S₁) (g : σ → S₁) (p : MvPolynomial σ R) :
@@ -2338,7 +2338,7 @@ theorem eval_map (f : R →+* S₁) (g : σ → S₁) (p : MvPolynomial σ R) :
 lean 3 declaration is
   forall {R : Type.{u1}} {S₁ : Type.{u2}} {S₂ : Type.{u3}} {σ : Type.{u4}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] [_inst_3 : CommSemiring.{u3} S₂] (f : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (g : σ -> S₂) (φ : RingHom.{u2, u3} S₁ S₂ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_3))) (p : MvPolynomial.{u4, u1} σ R _inst_1), Eq.{succ u3} S₂ (MvPolynomial.eval₂.{u2, u3, u4} S₁ S₂ σ _inst_2 _inst_3 φ g (coeFn.{max (succ (max u4 u1)) (succ (max u4 u2)), max (succ (max u4 u1)) (succ (max u4 u2))} (RingHom.{max u4 u1, max u4 u2} (MvPolynomial.{u4, u1} σ R _inst_1) (MvPolynomial.{u4, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u4, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u4, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u4} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u4, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u4, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u4} S₁ σ _inst_2)))) (fun (_x : RingHom.{max u4 u1, max u4 u2} (MvPolynomial.{u4, u1} σ R _inst_1) (MvPolynomial.{u4, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u4, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u4, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u4} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u4, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u4, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u4} S₁ σ _inst_2)))) => (MvPolynomial.{u4, u1} σ R _inst_1) -> (MvPolynomial.{u4, u2} σ S₁ _inst_2)) (RingHom.hasCoeToFun.{max u4 u1, max u4 u2} (MvPolynomial.{u4, u1} σ R _inst_1) (MvPolynomial.{u4, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u4, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u4, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u4} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u4, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u4, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u4} S₁ σ _inst_2)))) (MvPolynomial.map.{u1, u2, u4} R S₁ σ _inst_1 _inst_2 f) p)) (MvPolynomial.eval₂.{u1, u3, u4} R S₂ σ _inst_1 _inst_3 (RingHom.comp.{u1, u2, u3} R S₁ S₂ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_3)) φ f) g p)
 but is expected to have type
-  forall {R : Type.{u2}} {S₁ : Type.{u3}} {S₂ : Type.{u4}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] [_inst_3 : CommSemiring.{u4} S₂] (f : RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (g : σ -> S₂) (φ : RingHom.{u3, u4} S₁ S₂ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))) (p : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{succ u4} S₂ (MvPolynomial.eval₂.{u3, u4, u1} S₁ S₂ σ _inst_2 _inst_3 φ g (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u2) (succ u1), max (succ u3) (succ u1)} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u3} σ S₁ _inst_2) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (RingHom.instRingHomClassRingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))))) (MvPolynomial.map.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f) p)) (MvPolynomial.eval₂.{u2, u4, u1} R S₂ σ _inst_1 _inst_3 (RingHom.comp.{u2, u3, u4} R S₁ S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3)) φ f) g p)
+  forall {R : Type.{u2}} {S₁ : Type.{u3}} {S₂ : Type.{u4}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] [_inst_3 : CommSemiring.{u4} S₂] (f : RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (g : σ -> S₂) (φ : RingHom.{u3, u4} S₁ S₂ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))) (p : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{succ u4} S₂ (MvPolynomial.eval₂.{u3, u4, u1} S₁ S₂ σ _inst_2 _inst_3 φ g (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u2) (succ u1), max (succ u3) (succ u1)} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u3} σ S₁ _inst_2) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (RingHom.instRingHomClassRingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))))) (MvPolynomial.map.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f) p)) (MvPolynomial.eval₂.{u2, u4, u1} R S₂ σ _inst_1 _inst_3 (RingHom.comp.{u2, u3, u4} R S₁ S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3)) φ f) g p)
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval₂_map MvPolynomial.eval₂_mapₓ'. -/
 @[simp]
 theorem eval₂_map [CommSemiring S₂] (f : R →+* S₁) (g : σ → S₂) (φ : S₁ →+* S₂)
@@ -2350,7 +2350,7 @@ theorem eval₂_map [CommSemiring S₂] (f : R →+* S₁) (g : σ → S₂) (φ
 lean 3 declaration is
   forall {R : Type.{u1}} {S₁ : Type.{u2}} {S₂ : Type.{u3}} {σ : Type.{u4}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] [_inst_3 : CommSemiring.{u3} S₂] (f : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (g : σ -> S₂) (φ : RingHom.{u2, u3} S₁ S₂ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_3))) (p : MvPolynomial.{u4, u1} σ R _inst_1), Eq.{succ u3} S₂ (coeFn.{max (succ (max u4 u2)) (succ u3), max (succ (max u4 u2)) (succ u3)} (RingHom.{max u4 u2, u3} (MvPolynomial.{u4, u2} σ S₁ _inst_2) S₂ (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u4, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u4, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u4} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_3))) (fun (_x : RingHom.{max u4 u2, u3} (MvPolynomial.{u4, u2} σ S₁ _inst_2) S₂ (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u4, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u4, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u4} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_3))) => (MvPolynomial.{u4, u2} σ S₁ _inst_2) -> S₂) (RingHom.hasCoeToFun.{max u4 u2, u3} (MvPolynomial.{u4, u2} σ S₁ _inst_2) S₂ (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u4, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u4, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u4} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_3))) (MvPolynomial.eval₂Hom.{u2, u3, u4} S₁ S₂ σ _inst_2 _inst_3 φ g) (coeFn.{max (succ (max u4 u1)) (succ (max u4 u2)), max (succ (max u4 u1)) (succ (max u4 u2))} (RingHom.{max u4 u1, max u4 u2} (MvPolynomial.{u4, u1} σ R _inst_1) (MvPolynomial.{u4, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u4, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u4, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u4} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u4, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u4, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u4} S₁ σ _inst_2)))) (fun (_x : RingHom.{max u4 u1, max u4 u2} (MvPolynomial.{u4, u1} σ R _inst_1) (MvPolynomial.{u4, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u4, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u4, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u4} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u4, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u4, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u4} S₁ σ _inst_2)))) => (MvPolynomial.{u4, u1} σ R _inst_1) -> (MvPolynomial.{u4, u2} σ S₁ _inst_2)) (RingHom.hasCoeToFun.{max u4 u1, max u4 u2} (MvPolynomial.{u4, u1} σ R _inst_1) (MvPolynomial.{u4, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u4, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u4, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u4} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u4, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u4, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u4} S₁ σ _inst_2)))) (MvPolynomial.map.{u1, u2, u4} R S₁ σ _inst_1 _inst_2 f) p)) (coeFn.{max (succ (max u4 u1)) (succ u3), max (succ (max u4 u1)) (succ u3)} (RingHom.{max u4 u1, u3} (MvPolynomial.{u4, u1} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u4, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u4, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u4} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_3))) (fun (_x : RingHom.{max u4 u1, u3} (MvPolynomial.{u4, u1} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u4, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u4, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u4} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_3))) => (MvPolynomial.{u4, u1} σ R _inst_1) -> S₂) (RingHom.hasCoeToFun.{max u4 u1, u3} (MvPolynomial.{u4, u1} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u4, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u4, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u4} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_3))) (MvPolynomial.eval₂Hom.{u1, u3, u4} R S₂ σ _inst_1 _inst_3 (RingHom.comp.{u1, u2, u3} R S₁ S₂ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_3)) φ f) g) p)
 but is expected to have type
-  forall {R : Type.{u2}} {S₁ : Type.{u3}} {S₂ : Type.{u4}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] [_inst_3 : CommSemiring.{u4} S₂] (f : RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (g : σ -> S₂) (φ : RingHom.{u3, u4} S₁ S₂ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))) (p : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u3} σ S₁ _inst_2) => S₂) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u2) (succ u1), max (succ u3) (succ u1)} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (a : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u3} σ S₁ _inst_2) a) (MulHomClass.toFunLike.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (RingHom.instRingHomClassRingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))))) (MvPolynomial.map.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f) p)) (FunLike.coe.{max (max (succ u3) (succ u4)) (succ u1), max (succ u3) (succ u1), succ u4} (RingHom.{max u3 u1, u4} (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₂ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (fun (_x : MvPolynomial.{u1, u3} σ S₁ _inst_2) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u3} σ S₁ _inst_2) => S₂) _x) (MulHomClass.toFunLike.{max (max u3 u4) u1, max u3 u1, u4} (RingHom.{max u3 u1, u4} (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₂ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))) (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₂ (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))) (NonUnitalNonAssocSemiring.toMul.{u4} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₂ (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3)))) (NonUnitalRingHomClass.toMulHomClass.{max (max u3 u4) u1, max u3 u1, u4} (RingHom.{max u3 u1, u4} (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₂ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))) (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₂ (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))) (RingHomClass.toNonUnitalRingHomClass.{max (max u3 u4) u1, max u3 u1, u4} (RingHom.{max u3 u1, u4} (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₂ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))) (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₂ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3)) (RingHom.instRingHomClassRingHom.{max u3 u1, u4} (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₂ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3)))))) (MvPolynomial.eval₂Hom.{u3, u4, u1} S₁ S₂ σ _inst_2 _inst_3 φ g) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u2) (succ u1), max (succ u3) (succ u1)} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u3} σ S₁ _inst_2) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (RingHom.instRingHomClassRingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))))) (MvPolynomial.map.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f) p)) (FunLike.coe.{max (max (succ u2) (succ u4)) (succ u1), max (succ u2) (succ u1), succ u4} (RingHom.{max u2 u1, u4} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => S₂) _x) (MulHomClass.toFunLike.{max (max u2 u4) u1, max u2 u1, u4} (RingHom.{max u2 u1, u4} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))) (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u4} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₂ (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3)))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u4) u1, max u2 u1, u4} (RingHom.{max u2 u1, u4} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))) (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₂ (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u4) u1, max u2 u1, u4} (RingHom.{max u2 u1, u4} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))) (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3)) (RingHom.instRingHomClassRingHom.{max u2 u1, u4} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3)))))) (MvPolynomial.eval₂Hom.{u2, u4, u1} R S₂ σ _inst_1 _inst_3 (RingHom.comp.{u2, u3, u4} R S₁ S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3)) φ f) g) p)
+  forall {R : Type.{u2}} {S₁ : Type.{u3}} {S₂ : Type.{u4}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] [_inst_3 : CommSemiring.{u4} S₂] (f : RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (g : σ -> S₂) (φ : RingHom.{u3, u4} S₁ S₂ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))) (p : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u3} σ S₁ _inst_2) => S₂) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u2) (succ u1), max (succ u3) (succ u1)} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (a : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u3} σ S₁ _inst_2) a) (MulHomClass.toFunLike.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (RingHom.instRingHomClassRingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))))) (MvPolynomial.map.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f) p)) (FunLike.coe.{max (max (succ u3) (succ u4)) (succ u1), max (succ u3) (succ u1), succ u4} (RingHom.{max u3 u1, u4} (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₂ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (fun (_x : MvPolynomial.{u1, u3} σ S₁ _inst_2) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u3} σ S₁ _inst_2) => S₂) _x) (MulHomClass.toFunLike.{max (max u3 u4) u1, max u3 u1, u4} (RingHom.{max u3 u1, u4} (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₂ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))) (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₂ (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))) (NonUnitalNonAssocSemiring.toMul.{u4} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₂ (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3)))) (NonUnitalRingHomClass.toMulHomClass.{max (max u3 u4) u1, max u3 u1, u4} (RingHom.{max u3 u1, u4} (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₂ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))) (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₂ (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))) (RingHomClass.toNonUnitalRingHomClass.{max (max u3 u4) u1, max u3 u1, u4} (RingHom.{max u3 u1, u4} (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₂ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))) (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₂ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3)) (RingHom.instRingHomClassRingHom.{max u3 u1, u4} (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₂ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3)))))) (MvPolynomial.eval₂Hom.{u3, u4, u1} S₁ S₂ σ _inst_2 _inst_3 φ g) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u2) (succ u1), max (succ u3) (succ u1)} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u3} σ S₁ _inst_2) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (RingHom.instRingHomClassRingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))))) (MvPolynomial.map.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f) p)) (FunLike.coe.{max (max (succ u2) (succ u4)) (succ u1), max (succ u2) (succ u1), succ u4} (RingHom.{max u2 u1, u4} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => S₂) _x) (MulHomClass.toFunLike.{max (max u2 u4) u1, max u2 u1, u4} (RingHom.{max u2 u1, u4} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))) (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u4} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₂ (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3)))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u4) u1, max u2 u1, u4} (RingHom.{max u2 u1, u4} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))) (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₂ (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u4) u1, max u2 u1, u4} (RingHom.{max u2 u1, u4} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))) (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3)) (RingHom.instRingHomClassRingHom.{max u2 u1, u4} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3)))))) (MvPolynomial.eval₂Hom.{u2, u4, u1} R S₂ σ _inst_1 _inst_3 (RingHom.comp.{u2, u3, u4} R S₁ S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3)) φ f) g) p)
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval₂_hom_map_hom MvPolynomial.eval₂Hom_map_homₓ'. -/
 @[simp]
 theorem eval₂Hom_map_hom [CommSemiring S₂] (f : R →+* S₁) (g : σ → S₂) (φ : S₁ →+* S₂)
@@ -2362,7 +2362,7 @@ theorem eval₂Hom_map_hom [CommSemiring S₂] (f : R →+* S₁) (g : σ → S
 lean 3 declaration is
   forall {R : Type.{u1}} {S₁ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] (f : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (φ : MvPolynomial.{u3, u1} σ R _inst_1), Eq.{succ u2} S₁ (coeFn.{max (succ (max u3 u2)) (succ u2), max (succ (max u3 u2)) (succ u2)} (RingHom.{max u3 u2, u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (fun (_x : RingHom.{max u3 u2, u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) => (MvPolynomial.{u3, u2} σ S₁ _inst_2) -> S₁) (RingHom.hasCoeToFun.{max u3 u2, u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (MvPolynomial.constantCoeff.{u2, u3} S₁ σ _inst_2) (coeFn.{max (succ (max u3 u1)) (succ (max u3 u2)), max (succ (max u3 u1)) (succ (max u3 u2))} (RingHom.{max u3 u1, max u3 u2} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))) (fun (_x : RingHom.{max u3 u1, max u3 u2} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))) => (MvPolynomial.{u3, u1} σ R _inst_1) -> (MvPolynomial.{u3, u2} σ S₁ _inst_2)) (RingHom.hasCoeToFun.{max u3 u1, max u3 u2} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))) (MvPolynomial.map.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 f) φ)) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (fun (_x : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) => R -> S₁) (RingHom.hasCoeToFun.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) f (coeFn.{max (succ (max u3 u1)) (succ u1), max (succ (max u3 u1)) (succ u1)} (RingHom.{max u3 u1, u1} (MvPolynomial.{u3, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (fun (_x : RingHom.{max u3 u1, u1} (MvPolynomial.{u3, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) => (MvPolynomial.{u3, u1} σ R _inst_1) -> R) (RingHom.hasCoeToFun.{max u3 u1, u1} (MvPolynomial.{u3, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.constantCoeff.{u1, u3} R σ _inst_1) φ))
 but is expected to have type
-  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] (f : RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (φ : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u3} σ S₁ _inst_2) => S₁) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u2) (succ u1), max (succ u3) (succ u1)} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (a : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u3} σ S₁ _inst_2) a) (MulHomClass.toFunLike.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (RingHom.instRingHomClassRingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))))) (MvPolynomial.map.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f) φ)) (FunLike.coe.{max (succ u1) (succ u3), max (succ u1) (succ u3), succ u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (fun (_x : MvPolynomial.{u1, u3} σ S₁ _inst_2) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u3} σ S₁ _inst_2) => S₁) _x) (MulHomClass.toFunLike.{max u1 u3, max u1 u3, u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (NonUnitalNonAssocSemiring.toMul.{max u1 u3} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u3, max u1 u3, u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u3, max u1 u3, u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{max u1 u3, u3} (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (MvPolynomial.constantCoeff.{u3, u1} S₁ σ _inst_2) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u2) (succ u1), max (succ u3) (succ u1)} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u3} σ S₁ _inst_2) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (RingHom.instRingHomClassRingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))))) (MvPolynomial.map.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f) φ)) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) _x) (MulHomClass.toFunLike.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) f (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), succ u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) _x) (MulHomClass.toFunLike.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (RingHom.instRingHomClassRingHom.{max u1 u2, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))))) (MvPolynomial.constantCoeff.{u2, u1} R σ _inst_1) φ))
+  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] (f : RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (φ : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u3} σ S₁ _inst_2) => S₁) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u2) (succ u1), max (succ u3) (succ u1)} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (a : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u3} σ S₁ _inst_2) a) (MulHomClass.toFunLike.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (RingHom.instRingHomClassRingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))))) (MvPolynomial.map.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f) φ)) (FunLike.coe.{max (succ u1) (succ u3), max (succ u1) (succ u3), succ u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (fun (_x : MvPolynomial.{u1, u3} σ S₁ _inst_2) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u3} σ S₁ _inst_2) => S₁) _x) (MulHomClass.toFunLike.{max u1 u3, max u1 u3, u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (NonUnitalNonAssocSemiring.toMul.{max u1 u3} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u3, max u1 u3, u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u3, max u1 u3, u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{max u1 u3, u3} (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (MvPolynomial.constantCoeff.{u3, u1} S₁ σ _inst_2) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u2) (succ u1), max (succ u3) (succ u1)} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u3} σ S₁ _inst_2) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (RingHom.instRingHomClassRingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))))) (MvPolynomial.map.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f) φ)) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) _x) (MulHomClass.toFunLike.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) f (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), succ u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) _x) (MulHomClass.toFunLike.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (RingHom.instRingHomClassRingHom.{max u1 u2, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))))) (MvPolynomial.constantCoeff.{u2, u1} R σ _inst_1) φ))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.constant_coeff_map MvPolynomial.constantCoeff_mapₓ'. -/
 @[simp]
 theorem constantCoeff_map (f : R →+* S₁) (φ : MvPolynomial σ R) :
@@ -2385,7 +2385,7 @@ theorem constantCoeff_comp_map (f : R →+* S₁) :
 lean 3 declaration is
   forall {R : Type.{u1}} {S₁ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] (f : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (p : MvPolynomial.{u3, u1} σ R _inst_1), HasSubset.Subset.{u3} (Finset.{u3} (Finsupp.{u3, 0} σ Nat Nat.hasZero)) (Finset.hasSubset.{u3} (Finsupp.{u3, 0} σ Nat Nat.hasZero)) (MvPolynomial.support.{u2, u3} S₁ σ _inst_2 (coeFn.{max (succ (max u3 u1)) (succ (max u3 u2)), max (succ (max u3 u1)) (succ (max u3 u2))} (RingHom.{max u3 u1, max u3 u2} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))) (fun (_x : RingHom.{max u3 u1, max u3 u2} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))) => (MvPolynomial.{u3, u1} σ R _inst_1) -> (MvPolynomial.{u3, u2} σ S₁ _inst_2)) (RingHom.hasCoeToFun.{max u3 u1, max u3 u2} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))) (MvPolynomial.map.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 f) p)) (MvPolynomial.support.{u1, u3} R σ _inst_1 p)
 but is expected to have type
-  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] (f : RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (p : MvPolynomial.{u1, u2} σ R _inst_1), HasSubset.Subset.{u1} (Finset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (Finset.instHasSubsetFinset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (MvPolynomial.support.{u3, u1} S₁ σ _inst_2 (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u2) (succ u1), max (succ u3) (succ u1)} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u3} σ S₁ _inst_2) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (RingHom.instRingHomClassRingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))))) (MvPolynomial.map.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f) p)) (MvPolynomial.support.{u2, u1} R σ _inst_1 p)
+  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] (f : RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (p : MvPolynomial.{u1, u2} σ R _inst_1), HasSubset.Subset.{u1} (Finset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (Finset.instHasSubsetFinset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (MvPolynomial.support.{u3, u1} S₁ σ _inst_2 (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u2) (succ u1), max (succ u3) (succ u1)} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u3} σ S₁ _inst_2) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (RingHom.instRingHomClassRingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))))) (MvPolynomial.map.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f) p)) (MvPolynomial.support.{u2, u1} R σ _inst_1 p)
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.support_map_subset MvPolynomial.support_map_subsetₓ'. -/
 theorem support_map_subset (p : MvPolynomial σ R) : (map f p).support ⊆ p.support :=
   by
@@ -2403,7 +2403,7 @@ theorem support_map_subset (p : MvPolynomial σ R) : (map f p).support ⊆ p.sup
 lean 3 declaration is
   forall {R : Type.{u1}} {S₁ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] (p : MvPolynomial.{u3, u1} σ R _inst_1) {f : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))}, (Function.Injective.{succ u1, succ u2} R S₁ (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (fun (_x : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) => R -> S₁) (RingHom.hasCoeToFun.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) f)) -> (Eq.{succ u3} (Finset.{u3} (Finsupp.{u3, 0} σ Nat Nat.hasZero)) (MvPolynomial.support.{u2, u3} S₁ σ _inst_2 (coeFn.{max (succ (max u3 u1)) (succ (max u3 u2)), max (succ (max u3 u1)) (succ (max u3 u2))} (RingHom.{max u3 u1, max u3 u2} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))) (fun (_x : RingHom.{max u3 u1, max u3 u2} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))) => (MvPolynomial.{u3, u1} σ R _inst_1) -> (MvPolynomial.{u3, u2} σ S₁ _inst_2)) (RingHom.hasCoeToFun.{max u3 u1, max u3 u2} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))) (MvPolynomial.map.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 f) p)) (MvPolynomial.support.{u1, u3} R σ _inst_1 p))
 but is expected to have type
-  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] (p : MvPolynomial.{u1, u2} σ R _inst_1) {f : RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))}, (Function.Injective.{succ u2, succ u3} R S₁ (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) _x) (MulHomClass.toFunLike.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) f)) -> (Eq.{succ u1} (Finset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (MvPolynomial.support.{u3, u1} S₁ σ _inst_2 (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u2) (succ u1), max (succ u3) (succ u1)} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u3} σ S₁ _inst_2) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (RingHom.instRingHomClassRingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))))) (MvPolynomial.map.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f) p)) (MvPolynomial.support.{u2, u1} R σ _inst_1 p))
+  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] (p : MvPolynomial.{u1, u2} σ R _inst_1) {f : RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))}, (Function.Injective.{succ u2, succ u3} R S₁ (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) _x) (MulHomClass.toFunLike.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) f)) -> (Eq.{succ u1} (Finset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (MvPolynomial.support.{u3, u1} S₁ σ _inst_2 (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u2) (succ u1), max (succ u3) (succ u1)} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u3} σ S₁ _inst_2) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (RingHom.instRingHomClassRingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))))) (MvPolynomial.map.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f) p)) (MvPolynomial.support.{u2, u1} R σ _inst_1 p))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.support_map_of_injective MvPolynomial.support_map_of_injectiveₓ'. -/
 theorem support_map_of_injective (p : MvPolynomial σ R) {f : R →+* S₁} (hf : Injective f) :
     (map f p).support = p.support :=
@@ -2423,7 +2423,7 @@ theorem support_map_of_injective (p : MvPolynomial σ R) {f : R →+* S₁} (hf
 lean 3 declaration is
   forall {R : Type.{u1}} {S₁ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] (q : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (r : R), (forall (r' : R), Iff (Eq.{succ u2} S₁ (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (fun (_x : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) => R -> S₁) (RingHom.hasCoeToFun.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) q r') (OfNat.ofNat.{u2} S₁ 0 (OfNat.mk.{u2} S₁ 0 (Zero.zero.{u2} S₁ (MulZeroClass.toHasZero.{u2} S₁ (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S₁ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))))))))) (Dvd.Dvd.{u1} R (semigroupDvd.{u1} R (SemigroupWithZero.toSemigroup.{u1} R (NonUnitalSemiring.toSemigroupWithZero.{u1} R (NonUnitalCommSemiring.toNonUnitalSemiring.{u1} R (CommSemiring.toNonUnitalCommSemiring.{u1} R _inst_1))))) r r')) -> (forall (φ : MvPolynomial.{u3, u1} σ R _inst_1), Iff (Dvd.Dvd.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (semigroupDvd.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (SemigroupWithZero.toSemigroup.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonUnitalSemiring.toSemigroupWithZero.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonUnitalCommSemiring.toNonUnitalSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toNonUnitalCommSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)))))) (coeFn.{max (succ u1) (succ (max u3 u1)), max (succ u1) (succ (max u3 u1))} (RingHom.{u1, max u3 u1} R (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)))) (fun (_x : RingHom.{u1, max u3 u1} R (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)))) => R -> (MvPolynomial.{u3, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{u1, max u3 u1} R (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)))) (MvPolynomial.C.{u1, u3} R σ _inst_1) r) φ) (Eq.{max (succ u3) (succ u2)} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (coeFn.{max (succ (max u3 u1)) (succ (max u3 u2)), max (succ (max u3 u1)) (succ (max u3 u2))} (RingHom.{max u3 u1, max u3 u2} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))) (fun (_x : RingHom.{max u3 u1, max u3 u2} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))) => (MvPolynomial.{u3, u1} σ R _inst_1) -> (MvPolynomial.{u3, u2} σ S₁ _inst_2)) (RingHom.hasCoeToFun.{max u3 u1, max u3 u2} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))) (MvPolynomial.map.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 q) φ) (OfNat.ofNat.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) 0 (OfNat.mk.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) 0 (Zero.zero.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MulZeroClass.toHasZero.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (NonUnitalNonAssocSemiring.toMulZeroClass.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))))))))))
 but is expected to have type
-  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] (q : RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (r : R), (forall (r' : R), Iff (Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r') (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) _x) (MulHomClass.toFunLike.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) q r') (OfNat.ofNat.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r') 0 (Zero.toOfNat0.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r') (CommMonoidWithZero.toZero.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r') (CommSemiring.toCommMonoidWithZero.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r') _inst_2))))) (Dvd.dvd.{u2} R (semigroupDvd.{u2} R (SemigroupWithZero.toSemigroup.{u2} R (NonUnitalSemiring.toSemigroupWithZero.{u2} R (NonUnitalCommSemiring.toNonUnitalSemiring.{u2} R (CommSemiring.toNonUnitalCommSemiring.{u2} R _inst_1))))) r r')) -> (forall (φ : MvPolynomial.{u1, u2} σ R _inst_1), Iff (Dvd.dvd.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) r) (semigroupDvd.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) r) (SemigroupWithZero.toSemigroup.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) r) (NonUnitalSemiring.toSemigroupWithZero.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) r) (NonUnitalCommSemiring.toNonUnitalSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) r) (CommSemiring.toNonUnitalCommSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) r) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) r) φ) (Eq.{max (succ u3) (succ u1)} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u3} σ S₁ _inst_2) φ) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u2) (succ u1), max (succ u3) (succ u1)} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u3} σ S₁ _inst_2) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (RingHom.instRingHomClassRingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))))) (MvPolynomial.map.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 q) φ) (OfNat.ofNat.{max u3 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u3} σ S₁ _inst_2) φ) 0 (Zero.toOfNat0.{max u3 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u3} σ S₁ _inst_2) φ) (CommMonoidWithZero.toZero.{max u3 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u3} σ S₁ _inst_2) φ) (CommSemiring.toCommMonoidWithZero.{max u3 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u3} σ S₁ _inst_2) φ) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))))))
+  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] (q : RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (r : R), (forall (r' : R), Iff (Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r') (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) _x) (MulHomClass.toFunLike.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) q r') (OfNat.ofNat.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r') 0 (Zero.toOfNat0.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r') (CommMonoidWithZero.toZero.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r') (CommSemiring.toCommMonoidWithZero.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r') _inst_2))))) (Dvd.dvd.{u2} R (semigroupDvd.{u2} R (SemigroupWithZero.toSemigroup.{u2} R (NonUnitalSemiring.toSemigroupWithZero.{u2} R (NonUnitalCommSemiring.toNonUnitalSemiring.{u2} R (CommSemiring.toNonUnitalCommSemiring.{u2} R _inst_1))))) r r')) -> (forall (φ : MvPolynomial.{u1, u2} σ R _inst_1), Iff (Dvd.dvd.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) r) (semigroupDvd.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) r) (SemigroupWithZero.toSemigroup.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) r) (NonUnitalSemiring.toSemigroupWithZero.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) r) (NonUnitalCommSemiring.toNonUnitalSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) r) (CommSemiring.toNonUnitalCommSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) r) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) r) φ) (Eq.{max (succ u3) (succ u1)} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u3} σ S₁ _inst_2) φ) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u2) (succ u1), max (succ u3) (succ u1)} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u3} σ S₁ _inst_2) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (RingHom.instRingHomClassRingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))))) (MvPolynomial.map.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 q) φ) (OfNat.ofNat.{max u3 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u3} σ S₁ _inst_2) φ) 0 (Zero.toOfNat0.{max u3 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u3} σ S₁ _inst_2) φ) (CommMonoidWithZero.toZero.{max u3 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u3} σ S₁ _inst_2) φ) (CommSemiring.toCommMonoidWithZero.{max u3 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u3} σ S₁ _inst_2) φ) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))))))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.C_dvd_iff_map_hom_eq_zero MvPolynomial.C_dvd_iff_map_hom_eq_zeroₓ'. -/
 theorem C_dvd_iff_map_hom_eq_zero (q : R →+* S₁) (r : R) (hr : ∀ r' : R, q r' = 0 ↔ r ∣ r')
     (φ : MvPolynomial σ R) : C r ∣ φ ↔ map q φ = 0 :=
@@ -2436,7 +2436,7 @@ theorem C_dvd_iff_map_hom_eq_zero (q : R →+* S₁) (r : R) (hr : ∀ r' : R, q
 lean 3 declaration is
   forall {R : Type.{u1}} {S₁ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] (f : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (g : S₁ -> R) (hg : Eq.{succ u1} R (g (OfNat.ofNat.{u2} S₁ 0 (OfNat.mk.{u2} S₁ 0 (Zero.zero.{u2} S₁ (MulZeroClass.toHasZero.{u2} S₁ (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S₁ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))))))) (φ : MvPolynomial.{u3, u2} σ S₁ _inst_2), Iff (Eq.{max (succ u3) (succ u2)} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (coeFn.{max (succ (max u3 u1)) (succ (max u3 u2)), max (succ (max u3 u1)) (succ (max u3 u2))} (RingHom.{max u3 u1, max u3 u2} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))) (fun (_x : RingHom.{max u3 u1, max u3 u2} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))) => (MvPolynomial.{u3, u1} σ R _inst_1) -> (MvPolynomial.{u3, u2} σ S₁ _inst_2)) (RingHom.hasCoeToFun.{max u3 u1, max u3 u2} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))) (MvPolynomial.map.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 f) (Finsupp.mapRange.{u3, u2, u1} (Finsupp.{u3, 0} σ Nat Nat.hasZero) S₁ R (MulZeroClass.toHasZero.{u2} S₁ (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S₁ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))))) (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) g hg φ)) φ) (forall (d : Finsupp.{u3, 0} σ Nat Nat.hasZero), Eq.{succ u2} S₁ (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (fun (_x : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) => R -> S₁) (RingHom.hasCoeToFun.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) f (g (MvPolynomial.coeff.{u2, u3} S₁ σ _inst_2 d φ))) (MvPolynomial.coeff.{u2, u3} S₁ σ _inst_2 d φ))
 but is expected to have type
-  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] (f : RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (g : S₁ -> R) (hg : Eq.{succ u2} R (g (OfNat.ofNat.{u3} S₁ 0 (Zero.toOfNat0.{u3} S₁ (CommMonoidWithZero.toZero.{u3} S₁ (CommSemiring.toCommMonoidWithZero.{u3} S₁ _inst_2))))) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))))) (φ : MvPolynomial.{u1, u3} σ S₁ _inst_2), Iff (Eq.{max (succ u3) (succ u1)} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u3} σ S₁ _inst_2) (Finsupp.mapRange.{u1, u3, u2} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) S₁ R (CommMonoidWithZero.toZero.{u3} S₁ (CommSemiring.toCommMonoidWithZero.{u3} S₁ _inst_2)) (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) g hg φ)) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u2) (succ u1), max (succ u3) (succ u1)} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u3} σ S₁ _inst_2) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (RingHom.instRingHomClassRingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))))) (MvPolynomial.map.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f) (Finsupp.mapRange.{u1, u3, u2} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) S₁ R (CommMonoidWithZero.toZero.{u3} S₁ (CommSemiring.toCommMonoidWithZero.{u3} S₁ _inst_2)) (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) g hg φ)) φ) (forall (d : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) (g (MvPolynomial.coeff.{u3, u1} S₁ σ _inst_2 d φ))) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) _x) (MulHomClass.toFunLike.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) f (g (MvPolynomial.coeff.{u3, u1} S₁ σ _inst_2 d φ))) (MvPolynomial.coeff.{u3, u1} S₁ σ _inst_2 d φ))
+  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] (f : RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (g : S₁ -> R) (hg : Eq.{succ u2} R (g (OfNat.ofNat.{u3} S₁ 0 (Zero.toOfNat0.{u3} S₁ (CommMonoidWithZero.toZero.{u3} S₁ (CommSemiring.toCommMonoidWithZero.{u3} S₁ _inst_2))))) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))))) (φ : MvPolynomial.{u1, u3} σ S₁ _inst_2), Iff (Eq.{max (succ u3) (succ u1)} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u3} σ S₁ _inst_2) (Finsupp.mapRange.{u1, u3, u2} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) S₁ R (CommMonoidWithZero.toZero.{u3} S₁ (CommSemiring.toCommMonoidWithZero.{u3} S₁ _inst_2)) (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) g hg φ)) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u2) (succ u1), max (succ u3) (succ u1)} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u3} σ S₁ _inst_2) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (RingHom.instRingHomClassRingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))))) (MvPolynomial.map.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f) (Finsupp.mapRange.{u1, u3, u2} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) S₁ R (CommMonoidWithZero.toZero.{u3} S₁ (CommSemiring.toCommMonoidWithZero.{u3} S₁ _inst_2)) (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) g hg φ)) φ) (forall (d : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) (g (MvPolynomial.coeff.{u3, u1} S₁ σ _inst_2 d φ))) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) _x) (MulHomClass.toFunLike.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) f (g (MvPolynomial.coeff.{u3, u1} S₁ σ _inst_2 d φ))) (MvPolynomial.coeff.{u3, u1} S₁ σ _inst_2 d φ))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.map_map_range_eq_iff MvPolynomial.map_mapRange_eq_iffₓ'. -/
 theorem map_mapRange_eq_iff (f : R →+* S₁) (g : S₁ → R) (hg : g 0 = 0) (φ : MvPolynomial σ S₁) :
     map f (Finsupp.mapRange g hg φ) = φ ↔ ∀ d, f (g (coeff d φ)) = coeff d φ :=
@@ -2503,7 +2503,7 @@ variable (f : σ → S₁)
 lean 3 declaration is
   forall {R : Type.{u1}} {S₁ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] [_inst_3 : Algebra.{u1, u2} R S₁ _inst_1 (CommSemiring.toSemiring.{u2} S₁ _inst_2)] (r : R), Eq.{max (succ u3) (succ u2)} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (coeFn.{max (succ u1) (succ (max u3 u2)), max (succ u1) (succ (max u3 u2))} (RingHom.{u1, max u3 u2} R (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))) (fun (_x : RingHom.{u1, max u3 u2} R (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))) => R -> (MvPolynomial.{u3, u2} σ S₁ _inst_2)) (RingHom.hasCoeToFun.{u1, max u3 u2} R (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))) (algebraMap.{u1, max u3 u2} R (MvPolynomial.{u3, u2} σ S₁ _inst_2) _inst_1 (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)) (MvPolynomial.algebra.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 _inst_3)) r) (coeFn.{max (succ u2) (succ (max u3 u2)), max (succ u2) (succ (max u3 u2))} (RingHom.{u2, max u3 u2} S₁ (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))) (fun (_x : RingHom.{u2, max u3 u2} S₁ (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))) => S₁ -> (MvPolynomial.{u3, u2} σ S₁ _inst_2)) (RingHom.hasCoeToFun.{u2, max u3 u2} S₁ (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))) (MvPolynomial.C.{u2, u3} S₁ σ _inst_2) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (fun (_x : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) => R -> S₁) (RingHom.hasCoeToFun.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (algebraMap.{u1, u2} R S₁ _inst_1 (CommSemiring.toSemiring.{u2} S₁ _inst_2) _inst_3) r))
 but is expected to have type
-  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] [_inst_3 : Algebra.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2)] (r : R), Eq.{max (succ u3) (succ u1)} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u3} σ S₁ _inst_2) r) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), succ u2, max (succ u3) (succ u1)} (RingHom.{u2, max u3 u1} R (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u3} σ S₁ _inst_2) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, u2, max u3 u1} (RingHom.{u2, max u3 u1} R (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) R (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, u2, max u3 u1} (RingHom.{u2, max u3 u1} R (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) R (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, u2, max u3 u1} (RingHom.{u2, max u3 u1} R (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) R (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (RingHom.instRingHomClassRingHom.{u2, max u3 u1} R (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))))) (algebraMap.{u2, max u3 u1} R (MvPolynomial.{u1, u3} σ S₁ _inst_2) _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)) (MvPolynomial.algebra.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 _inst_3)) r) (FunLike.coe.{max (succ u1) (succ u3), succ u3, max (succ u1) (succ u3)} (RingHom.{u3, max u3 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) _inst_2) (Semiring.toNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) _inst_2)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) _inst_2) (MvPolynomial.commSemiring.{u3, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) σ _inst_2)))) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) (fun (_x : (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) => MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) _inst_2) _x) (MulHomClass.toFunLike.{max u1 u3, u3, max u1 u3} (RingHom.{u3, max u3 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) _inst_2) (Semiring.toNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) _inst_2)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) _inst_2) (MvPolynomial.commSemiring.{u3, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) σ _inst_2)))) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) _inst_2) (NonUnitalNonAssocSemiring.toMul.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) (Semiring.toNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) _inst_2)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u3} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) _inst_2) (MvPolynomial.commSemiring.{u3, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) σ _inst_2))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u3, u3, max u1 u3} (RingHom.{u3, max u3 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) _inst_2) (Semiring.toNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) _inst_2)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) _inst_2) (MvPolynomial.commSemiring.{u3, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) σ _inst_2)))) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) (Semiring.toNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) _inst_2))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) _inst_2) (MvPolynomial.commSemiring.{u3, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) σ _inst_2)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u3, u3, max u1 u3} (RingHom.{u3, max u3 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) _inst_2) (Semiring.toNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) _inst_2)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) _inst_2) (MvPolynomial.commSemiring.{u3, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) σ _inst_2)))) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) _inst_2) (Semiring.toNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) _inst_2)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) _inst_2) (MvPolynomial.commSemiring.{u3, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) σ _inst_2))) (RingHom.instRingHomClassRingHom.{u3, max u1 u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) _inst_2) (Semiring.toNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) _inst_2)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) _inst_2) (MvPolynomial.commSemiring.{u3, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) σ _inst_2))))))) (MvPolynomial.C.{u3, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) σ _inst_2) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) _x) (MulHomClass.toFunLike.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (algebraMap.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3) r))
+  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] [_inst_3 : Algebra.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2)] (r : R), Eq.{max (succ u3) (succ u1)} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u3} σ S₁ _inst_2) r) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), succ u2, max (succ u3) (succ u1)} (RingHom.{u2, max u3 u1} R (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u3} σ S₁ _inst_2) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, u2, max u3 u1} (RingHom.{u2, max u3 u1} R (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) R (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, u2, max u3 u1} (RingHom.{u2, max u3 u1} R (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) R (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, u2, max u3 u1} (RingHom.{u2, max u3 u1} R (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) R (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (RingHom.instRingHomClassRingHom.{u2, max u3 u1} R (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))))) (algebraMap.{u2, max u3 u1} R (MvPolynomial.{u1, u3} σ S₁ _inst_2) _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)) (MvPolynomial.algebra.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 _inst_3)) r) (FunLike.coe.{max (succ u1) (succ u3), succ u3, max (succ u1) (succ u3)} (RingHom.{u3, max u3 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) _inst_2) (Semiring.toNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) _inst_2)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) _inst_2) (MvPolynomial.commSemiring.{u3, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) σ _inst_2)))) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) (fun (_x : (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) => MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) _inst_2) _x) (MulHomClass.toFunLike.{max u1 u3, u3, max u1 u3} (RingHom.{u3, max u3 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) _inst_2) (Semiring.toNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) _inst_2)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) _inst_2) (MvPolynomial.commSemiring.{u3, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) σ _inst_2)))) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) _inst_2) (NonUnitalNonAssocSemiring.toMul.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) (Semiring.toNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) _inst_2)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u3} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) _inst_2) (MvPolynomial.commSemiring.{u3, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) σ _inst_2))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u3, u3, max u1 u3} (RingHom.{u3, max u3 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) _inst_2) (Semiring.toNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) _inst_2)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) _inst_2) (MvPolynomial.commSemiring.{u3, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) σ _inst_2)))) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) (Semiring.toNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) _inst_2))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) _inst_2) (MvPolynomial.commSemiring.{u3, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) σ _inst_2)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u3, u3, max u1 u3} (RingHom.{u3, max u3 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) _inst_2) (Semiring.toNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) _inst_2)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) _inst_2) (MvPolynomial.commSemiring.{u3, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) σ _inst_2)))) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) _inst_2) (Semiring.toNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) _inst_2)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) _inst_2) (MvPolynomial.commSemiring.{u3, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) σ _inst_2))) (RingHom.instRingHomClassRingHom.{u3, max u1 u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) _inst_2) (Semiring.toNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) _inst_2)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) _inst_2) (MvPolynomial.commSemiring.{u3, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) σ _inst_2))))))) (MvPolynomial.C.{u3, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) σ _inst_2) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) _x) (MulHomClass.toFunLike.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (algebraMap.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3) r))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.algebra_map_apply MvPolynomial.algebraMap_applyₓ'. -/
 theorem algebraMap_apply (r : R) : algebraMap R (MvPolynomial σ S₁) r = C (algebraMap R S₁ r) :=
   rfl
@@ -2531,7 +2531,7 @@ theorem aeval_def (p : MvPolynomial σ R) : aeval f p = eval₂ (algebraMap R S
 lean 3 declaration is
   forall {R : Type.{u1}} {S₁ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] [_inst_3 : Algebra.{u1, u2} R S₁ _inst_1 (CommSemiring.toSemiring.{u2} S₁ _inst_2)] (f : σ -> S₁) (p : MvPolynomial.{u3, u1} σ R _inst_1), Eq.{succ u2} S₁ (coeFn.{max (succ (max u3 u1)) (succ u2), max (succ (max u3 u1)) (succ u2)} (AlgHom.{u1, max u3 u1, u2} R (MvPolynomial.{u3, u1} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (CommSemiring.toSemiring.{u2} S₁ _inst_2) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_3) (fun (_x : AlgHom.{u1, max u3 u1, u2} R (MvPolynomial.{u3, u1} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (CommSemiring.toSemiring.{u2} S₁ _inst_2) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_3) => (MvPolynomial.{u3, u1} σ R _inst_1) -> S₁) ([anonymous].{u1, max u3 u1, u2} R (MvPolynomial.{u3, u1} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (CommSemiring.toSemiring.{u2} S₁ _inst_2) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_3) (MvPolynomial.aeval.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 _inst_3 f) p) (coeFn.{max (succ (max u3 u1)) (succ u2), max (succ (max u3 u1)) (succ u2)} (RingHom.{max u3 u1, u2} (MvPolynomial.{u3, u1} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (fun (_x : RingHom.{max u3 u1, u2} (MvPolynomial.{u3, u1} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) => (MvPolynomial.{u3, u1} σ R _inst_1) -> S₁) (RingHom.hasCoeToFun.{max u3 u1, u2} (MvPolynomial.{u3, u1} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (MvPolynomial.eval₂Hom.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 (algebraMap.{u1, u2} R S₁ _inst_1 (CommSemiring.toSemiring.{u2} S₁ _inst_2) _inst_3) f) p)
 but is expected to have type
-  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] [_inst_3 : Algebra.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2)] (f : σ -> S₁) (p : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u1, u2} σ R _inst_1) => S₁) p) (FunLike.coe.{max (max (succ u3) (succ u1)) (succ u2), max (succ u1) (succ u2), succ u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u1, u2} σ R _inst_1) => S₁) _x) (SMulHomClass.toFunLike.{max (max u3 u1) u2, u2, max u1 u2, u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (SMulZeroClass.toSMul.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (AddMonoid.toZero.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (DistribSMul.toSMulZeroClass.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (DistribMulAction.toDistribSMul.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))))))) (SMulZeroClass.toSMul.{u2, u3} R S₁ (AddMonoid.toZero.{u3} S₁ (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (DistribSMul.toSMulZeroClass.{u2, u3} R S₁ (AddMonoid.toAddZeroClass.{u3} S₁ (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (DistribMulAction.toDistribSMul.{u2, u3} R S₁ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))))) (Module.toDistribMulAction.{u2, u3} R S₁ (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (Algebra.toModule.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3))))) (DistribMulActionHomClass.toSMulHomClass.{max (max u3 u1) u2, u2, max u1 u2, u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (Module.toDistribMulAction.{u2, u3} R S₁ (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (Algebra.toModule.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max (max u3 u1) u2, u2, max u1 u2, u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (Module.toDistribMulAction.{u2, u3} R S₁ (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (Algebra.toModule.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u2, max u1 u2, u3, max (max u3 u1) u2} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3 (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) (AlgHom.algHomClass.{u2, max u1 u2, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3))))) (MvPolynomial.aeval.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 _inst_3 f) p) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u2) (succ u1), succ u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => S₁) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (MvPolynomial.eval₂Hom.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 (algebraMap.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3) f) p)
+  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] [_inst_3 : Algebra.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2)] (f : σ -> S₁) (p : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u1, u2} σ R _inst_1) => S₁) p) (FunLike.coe.{max (max (succ u3) (succ u1)) (succ u2), max (succ u1) (succ u2), succ u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u1, u2} σ R _inst_1) => S₁) _x) (SMulHomClass.toFunLike.{max (max u3 u1) u2, u2, max u1 u2, u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (SMulZeroClass.toSMul.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (AddMonoid.toZero.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (DistribSMul.toSMulZeroClass.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (DistribMulAction.toDistribSMul.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))))))) (SMulZeroClass.toSMul.{u2, u3} R S₁ (AddMonoid.toZero.{u3} S₁ (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (DistribSMul.toSMulZeroClass.{u2, u3} R S₁ (AddMonoid.toAddZeroClass.{u3} S₁ (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (DistribMulAction.toDistribSMul.{u2, u3} R S₁ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))))) (Module.toDistribMulAction.{u2, u3} R S₁ (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (Algebra.toModule.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3))))) (DistribMulActionHomClass.toSMulHomClass.{max (max u3 u1) u2, u2, max u1 u2, u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (Module.toDistribMulAction.{u2, u3} R S₁ (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (Algebra.toModule.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max (max u3 u1) u2, u2, max u1 u2, u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (Module.toDistribMulAction.{u2, u3} R S₁ (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (Algebra.toModule.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u2, max u1 u2, u3, max (max u3 u1) u2} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3 (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) (AlgHom.algHomClass.{u2, max u1 u2, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3))))) (MvPolynomial.aeval.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 _inst_3 f) p) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u2) (succ u1), succ u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => S₁) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (MvPolynomial.eval₂Hom.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 (algebraMap.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3) f) p)
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.aeval_eq_eval₂_hom MvPolynomial.aeval_eq_eval₂Homₓ'. -/
 theorem aeval_eq_eval₂Hom (p : MvPolynomial σ R) : aeval f p = eval₂Hom (algebraMap R S₁) f p :=
   rfl
@@ -2552,7 +2552,7 @@ theorem aeval_X (s : σ) : aeval f (X s : MvPolynomial _ R) = f s :=
 lean 3 declaration is
   forall {R : Type.{u1}} {S₁ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] [_inst_3 : Algebra.{u1, u2} R S₁ _inst_1 (CommSemiring.toSemiring.{u2} S₁ _inst_2)] (f : σ -> S₁) (r : R), Eq.{succ u2} S₁ (coeFn.{max (succ (max u3 u1)) (succ u2), max (succ (max u3 u1)) (succ u2)} (AlgHom.{u1, max u3 u1, u2} R (MvPolynomial.{u3, u1} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (CommSemiring.toSemiring.{u2} S₁ _inst_2) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_3) (fun (_x : AlgHom.{u1, max u3 u1, u2} R (MvPolynomial.{u3, u1} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (CommSemiring.toSemiring.{u2} S₁ _inst_2) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_3) => (MvPolynomial.{u3, u1} σ R _inst_1) -> S₁) ([anonymous].{u1, max u3 u1, u2} R (MvPolynomial.{u3, u1} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (CommSemiring.toSemiring.{u2} S₁ _inst_2) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_3) (MvPolynomial.aeval.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 _inst_3 f) (coeFn.{max (succ u1) (succ (max u3 u1)), max (succ u1) (succ (max u3 u1))} (RingHom.{u1, max u3 u1} R (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)))) (fun (_x : RingHom.{u1, max u3 u1} R (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)))) => R -> (MvPolynomial.{u3, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{u1, max u3 u1} R (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)))) (MvPolynomial.C.{u1, u3} R σ _inst_1) r)) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (fun (_x : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) => R -> S₁) (RingHom.hasCoeToFun.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (algebraMap.{u1, u2} R S₁ _inst_1 (CommSemiring.toSemiring.{u2} S₁ _inst_2) _inst_3) r)
 but is expected to have type
-  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] [_inst_3 : Algebra.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2)] (f : σ -> S₁) (r : R), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u1, u2} σ R _inst_1) => S₁) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (a : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) r)) (FunLike.coe.{max (max (succ u3) (succ u1)) (succ u2), max (succ u1) (succ u2), succ u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u1, u2} σ R _inst_1) => S₁) _x) (SMulHomClass.toFunLike.{max (max u3 u1) u2, u2, max u1 u2, u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (SMulZeroClass.toSMul.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (AddMonoid.toZero.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (DistribSMul.toSMulZeroClass.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (DistribMulAction.toDistribSMul.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))))))) (SMulZeroClass.toSMul.{u2, u3} R S₁ (AddMonoid.toZero.{u3} S₁ (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (DistribSMul.toSMulZeroClass.{u2, u3} R S₁ (AddMonoid.toAddZeroClass.{u3} S₁ (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (DistribMulAction.toDistribSMul.{u2, u3} R S₁ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))))) (Module.toDistribMulAction.{u2, u3} R S₁ (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (Algebra.toModule.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3))))) (DistribMulActionHomClass.toSMulHomClass.{max (max u3 u1) u2, u2, max u1 u2, u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (Module.toDistribMulAction.{u2, u3} R S₁ (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (Algebra.toModule.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max (max u3 u1) u2, u2, max u1 u2, u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (Module.toDistribMulAction.{u2, u3} R S₁ (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (Algebra.toModule.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u2, max u1 u2, u3, max (max u3 u1) u2} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3 (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) (AlgHom.algHomClass.{u2, max u1 u2, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3))))) (MvPolynomial.aeval.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 _inst_3 f) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) r)) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) _x) (MulHomClass.toFunLike.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (algebraMap.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3) r)
+  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] [_inst_3 : Algebra.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2)] (f : σ -> S₁) (r : R), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u1, u2} σ R _inst_1) => S₁) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (a : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) r)) (FunLike.coe.{max (max (succ u3) (succ u1)) (succ u2), max (succ u1) (succ u2), succ u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u1, u2} σ R _inst_1) => S₁) _x) (SMulHomClass.toFunLike.{max (max u3 u1) u2, u2, max u1 u2, u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (SMulZeroClass.toSMul.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (AddMonoid.toZero.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (DistribSMul.toSMulZeroClass.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (DistribMulAction.toDistribSMul.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))))))) (SMulZeroClass.toSMul.{u2, u3} R S₁ (AddMonoid.toZero.{u3} S₁ (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (DistribSMul.toSMulZeroClass.{u2, u3} R S₁ (AddMonoid.toAddZeroClass.{u3} S₁ (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (DistribMulAction.toDistribSMul.{u2, u3} R S₁ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))))) (Module.toDistribMulAction.{u2, u3} R S₁ (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (Algebra.toModule.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3))))) (DistribMulActionHomClass.toSMulHomClass.{max (max u3 u1) u2, u2, max u1 u2, u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (Module.toDistribMulAction.{u2, u3} R S₁ (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (Algebra.toModule.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max (max u3 u1) u2, u2, max u1 u2, u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (Module.toDistribMulAction.{u2, u3} R S₁ (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (Algebra.toModule.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u2, max u1 u2, u3, max (max u3 u1) u2} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3 (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) (AlgHom.algHomClass.{u2, max u1 u2, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3))))) (MvPolynomial.aeval.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 _inst_3 f) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) r)) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) _x) (MulHomClass.toFunLike.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (algebraMap.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3) r)
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.aeval_C MvPolynomial.aeval_Cₓ'. -/
 @[simp]
 theorem aeval_C (r : R) : aeval f (C r) = algebraMap R S₁ r :=
@@ -2608,7 +2608,7 @@ theorem comp_aeval {B : Type _} [CommSemiring B] [Algebra R B] (φ : S₁ →ₐ
 lean 3 declaration is
   forall {R : Type.{u1}} {S₁ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] [_inst_3 : Algebra.{u1, u2} R S₁ _inst_1 (CommSemiring.toSemiring.{u2} S₁ _inst_2)] {B : Type.{u4}} [_inst_5 : CommSemiring.{u4} B] (g : σ -> S₁) (φ : RingHom.{u2, u4} S₁ B (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} B (CommSemiring.toSemiring.{u4} B _inst_5))) (p : MvPolynomial.{u3, u1} σ R _inst_1), Eq.{succ u4} B (coeFn.{max (succ u2) (succ u4), max (succ u2) (succ u4)} (RingHom.{u2, u4} S₁ B (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} B (CommSemiring.toSemiring.{u4} B _inst_5))) (fun (_x : RingHom.{u2, u4} S₁ B (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} B (CommSemiring.toSemiring.{u4} B _inst_5))) => S₁ -> B) (RingHom.hasCoeToFun.{u2, u4} S₁ B (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} B (CommSemiring.toSemiring.{u4} B _inst_5))) φ (coeFn.{max (succ (max u3 u1)) (succ u2), max (succ (max u3 u1)) (succ u2)} (AlgHom.{u1, max u3 u1, u2} R (MvPolynomial.{u3, u1} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (CommSemiring.toSemiring.{u2} S₁ _inst_2) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_3) (fun (_x : AlgHom.{u1, max u3 u1, u2} R (MvPolynomial.{u3, u1} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (CommSemiring.toSemiring.{u2} S₁ _inst_2) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_3) => (MvPolynomial.{u3, u1} σ R _inst_1) -> S₁) ([anonymous].{u1, max u3 u1, u2} R (MvPolynomial.{u3, u1} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (CommSemiring.toSemiring.{u2} S₁ _inst_2) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_3) (MvPolynomial.aeval.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 _inst_3 g) p)) (coeFn.{max (succ (max u3 u1)) (succ u4), max (succ (max u3 u1)) (succ u4)} (RingHom.{max u3 u1, u4} (MvPolynomial.{u3, u1} σ R _inst_1) B (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u4} B (CommSemiring.toSemiring.{u4} B _inst_5))) (fun (_x : RingHom.{max u3 u1, u4} (MvPolynomial.{u3, u1} σ R _inst_1) B (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u4} B (CommSemiring.toSemiring.{u4} B _inst_5))) => (MvPolynomial.{u3, u1} σ R _inst_1) -> B) (RingHom.hasCoeToFun.{max u3 u1, u4} (MvPolynomial.{u3, u1} σ R _inst_1) B (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u4} B (CommSemiring.toSemiring.{u4} B _inst_5))) (MvPolynomial.eval₂Hom.{u1, u4, u3} R B σ _inst_1 _inst_5 (RingHom.comp.{u1, u2, u4} R S₁ B (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} B (CommSemiring.toSemiring.{u4} B _inst_5)) φ (algebraMap.{u1, u2} R S₁ _inst_1 (CommSemiring.toSemiring.{u2} S₁ _inst_2) _inst_3)) (fun (i : σ) => coeFn.{max (succ u2) (succ u4), max (succ u2) (succ u4)} (RingHom.{u2, u4} S₁ B (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} B (CommSemiring.toSemiring.{u4} B _inst_5))) (fun (_x : RingHom.{u2, u4} S₁ B (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} B (CommSemiring.toSemiring.{u4} B _inst_5))) => S₁ -> B) (RingHom.hasCoeToFun.{u2, u4} S₁ B (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} B (CommSemiring.toSemiring.{u4} B _inst_5))) φ (g i))) p)
 but is expected to have type
-  forall {R : Type.{u3}} {S₁ : Type.{u4}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u3} R] [_inst_2 : CommSemiring.{u4} S₁] [_inst_3 : Algebra.{u3, u4} R S₁ _inst_1 (CommSemiring.toSemiring.{u4} S₁ _inst_2)] {B : Type.{u2}} [_inst_5 : CommSemiring.{u2} B] (g : σ -> S₁) (φ : RingHom.{u4, u2} S₁ B (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5))) (p : MvPolynomial.{u1, u3} σ R _inst_1), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : S₁) => B) (FunLike.coe.{max (max (succ u4) (succ u1)) (succ u3), max (succ u1) (succ u3), succ u4} (AlgHom.{u3, max u3 u1, u4} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3) (MvPolynomial.{u1, u3} σ R _inst_1) (fun (a : MvPolynomial.{u1, u3} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u1, u3} σ R _inst_1) => S₁) a) (SMulHomClass.toFunLike.{max (max u4 u1) u3, u3, max u1 u3, u4} (AlgHom.{u3, max u3 u1, u4} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ (SMulZeroClass.toSMul.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (AddMonoid.toZero.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))))) (DistribSMul.toSMulZeroClass.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))))) (DistribMulAction.toDistribSMul.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))))) (Module.toDistribMulAction.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Algebra.toModule.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1))))))) (SMulZeroClass.toSMul.{u3, u4} R S₁ (AddMonoid.toZero.{u4} S₁ (AddCommMonoid.toAddMonoid.{u4} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))))) (DistribSMul.toSMulZeroClass.{u3, u4} R S₁ (AddMonoid.toAddZeroClass.{u4} S₁ (AddCommMonoid.toAddMonoid.{u4} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))))) (DistribMulAction.toDistribSMul.{u3, u4} R S₁ (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (AddCommMonoid.toAddMonoid.{u4} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2))))) (Module.toDistribMulAction.{u3, u4} R S₁ (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))) (Algebra.toModule.{u3, u4} R S₁ _inst_1 (CommSemiring.toSemiring.{u4} S₁ _inst_2) _inst_3))))) (DistribMulActionHomClass.toSMulHomClass.{max (max u4 u1) u3, u3, max u1 u3, u4} (AlgHom.{u3, max u3 u1, u4} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))))) (AddCommMonoid.toAddMonoid.{u4} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2))))) (Module.toDistribMulAction.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Algebra.toModule.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)))) (Module.toDistribMulAction.{u3, u4} R S₁ (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))) (Algebra.toModule.{u3, u4} R S₁ _inst_1 (CommSemiring.toSemiring.{u4} S₁ _inst_2) _inst_3)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max (max u4 u1) u3, u3, max u1 u3, u4} (AlgHom.{u3, max u3 u1, u4} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2))) (Module.toDistribMulAction.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Algebra.toModule.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)))) (Module.toDistribMulAction.{u3, u4} R S₁ (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))) (Algebra.toModule.{u3, u4} R S₁ _inst_1 (CommSemiring.toSemiring.{u4} S₁ _inst_2) _inst_3)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u3, max u1 u3, u4, max (max u4 u1) u3} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3 (AlgHom.{u3, max u3 u1, u4} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3) (AlgHom.algHomClass.{u3, max u1 u3, u4} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3))))) (MvPolynomial.aeval.{u3, u4, u1} R S₁ σ _inst_1 _inst_2 _inst_3 g) p)) (FunLike.coe.{max (succ u4) (succ u2), succ u4, succ u2} (RingHom.{u4, u2} S₁ B (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5))) S₁ (fun (_x : S₁) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : S₁) => B) _x) (MulHomClass.toFunLike.{max u4 u2, u4, u2} (RingHom.{u4, u2} S₁ B (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5))) S₁ B (NonUnitalNonAssocSemiring.toMul.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))) (NonUnitalNonAssocSemiring.toMul.{u2} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5)))) (NonUnitalRingHomClass.toMulHomClass.{max u4 u2, u4, u2} (RingHom.{u4, u2} S₁ B (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5))) S₁ B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5))) (RingHomClass.toNonUnitalRingHomClass.{max u4 u2, u4, u2} (RingHom.{u4, u2} S₁ B (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5))) S₁ B (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5)) (RingHom.instRingHomClassRingHom.{u4, u2} S₁ B (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5)))))) φ (FunLike.coe.{max (max (succ u4) (succ u1)) (succ u3), max (succ u1) (succ u3), succ u4} (AlgHom.{u3, max u3 u1, u4} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3) (MvPolynomial.{u1, u3} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u3} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u1, u3} σ R _inst_1) => S₁) _x) (SMulHomClass.toFunLike.{max (max u4 u1) u3, u3, max u1 u3, u4} (AlgHom.{u3, max u3 u1, u4} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ (SMulZeroClass.toSMul.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (AddMonoid.toZero.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))))) (DistribSMul.toSMulZeroClass.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))))) (DistribMulAction.toDistribSMul.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))))) (Module.toDistribMulAction.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Algebra.toModule.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1))))))) (SMulZeroClass.toSMul.{u3, u4} R S₁ (AddMonoid.toZero.{u4} S₁ (AddCommMonoid.toAddMonoid.{u4} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))))) (DistribSMul.toSMulZeroClass.{u3, u4} R S₁ (AddMonoid.toAddZeroClass.{u4} S₁ (AddCommMonoid.toAddMonoid.{u4} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))))) (DistribMulAction.toDistribSMul.{u3, u4} R S₁ (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (AddCommMonoid.toAddMonoid.{u4} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2))))) (Module.toDistribMulAction.{u3, u4} R S₁ (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))) (Algebra.toModule.{u3, u4} R S₁ _inst_1 (CommSemiring.toSemiring.{u4} S₁ _inst_2) _inst_3))))) (DistribMulActionHomClass.toSMulHomClass.{max (max u4 u1) u3, u3, max u1 u3, u4} (AlgHom.{u3, max u3 u1, u4} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))))) (AddCommMonoid.toAddMonoid.{u4} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2))))) (Module.toDistribMulAction.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Algebra.toModule.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)))) (Module.toDistribMulAction.{u3, u4} R S₁ (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))) (Algebra.toModule.{u3, u4} R S₁ _inst_1 (CommSemiring.toSemiring.{u4} S₁ _inst_2) _inst_3)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max (max u4 u1) u3, u3, max u1 u3, u4} (AlgHom.{u3, max u3 u1, u4} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2))) (Module.toDistribMulAction.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Algebra.toModule.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)))) (Module.toDistribMulAction.{u3, u4} R S₁ (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))) (Algebra.toModule.{u3, u4} R S₁ _inst_1 (CommSemiring.toSemiring.{u4} S₁ _inst_2) _inst_3)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u3, max u1 u3, u4, max (max u4 u1) u3} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3 (AlgHom.{u3, max u3 u1, u4} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3) (AlgHom.algHomClass.{u3, max u1 u3, u4} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3))))) (MvPolynomial.aeval.{u3, u4, u1} R S₁ σ _inst_1 _inst_2 _inst_3 g) p)) (FunLike.coe.{max (max (succ u3) (succ u1)) (succ u2), max (succ u3) (succ u1), succ u2} (RingHom.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) B (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5))) (MvPolynomial.{u1, u3} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u3} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u3} σ R _inst_1) => B) _x) (MulHomClass.toFunLike.{max (max u3 u1) u2, max u3 u1, u2} (RingHom.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) B (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5))) (MvPolynomial.{u1, u3} σ R _inst_1) B (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u2} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5)))) (NonUnitalRingHomClass.toMulHomClass.{max (max u3 u1) u2, max u3 u1, u2} (RingHom.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) B (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5))) (MvPolynomial.{u1, u3} σ R _inst_1) B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5))) (RingHomClass.toNonUnitalRingHomClass.{max (max u3 u1) u2, max u3 u1, u2} (RingHom.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) B (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5))) (MvPolynomial.{u1, u3} σ R _inst_1) B (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5)) (RingHom.instRingHomClassRingHom.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) B (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5)))))) (MvPolynomial.eval₂Hom.{u3, u2, u1} R B σ _inst_1 _inst_5 (RingHom.comp.{u3, u4, u2} R S₁ B (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5)) φ (algebraMap.{u3, u4} R S₁ _inst_1 (CommSemiring.toSemiring.{u4} S₁ _inst_2) _inst_3)) (fun (i : σ) => FunLike.coe.{max (succ u4) (succ u2), succ u4, succ u2} (RingHom.{u4, u2} S₁ B (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5))) S₁ (fun (_x : S₁) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : S₁) => B) _x) (MulHomClass.toFunLike.{max u4 u2, u4, u2} (RingHom.{u4, u2} S₁ B (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5))) S₁ B (NonUnitalNonAssocSemiring.toMul.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))) (NonUnitalNonAssocSemiring.toMul.{u2} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5)))) (NonUnitalRingHomClass.toMulHomClass.{max u4 u2, u4, u2} (RingHom.{u4, u2} S₁ B (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5))) S₁ B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5))) (RingHomClass.toNonUnitalRingHomClass.{max u4 u2, u4, u2} (RingHom.{u4, u2} S₁ B (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5))) S₁ B (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5)) (RingHom.instRingHomClassRingHom.{u4, u2} S₁ B (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5)))))) φ (g i))) p)
+  forall {R : Type.{u3}} {S₁ : Type.{u4}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u3} R] [_inst_2 : CommSemiring.{u4} S₁] [_inst_3 : Algebra.{u3, u4} R S₁ _inst_1 (CommSemiring.toSemiring.{u4} S₁ _inst_2)] {B : Type.{u2}} [_inst_5 : CommSemiring.{u2} B] (g : σ -> S₁) (φ : RingHom.{u4, u2} S₁ B (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5))) (p : MvPolynomial.{u1, u3} σ R _inst_1), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : S₁) => B) (FunLike.coe.{max (max (succ u4) (succ u1)) (succ u3), max (succ u1) (succ u3), succ u4} (AlgHom.{u3, max u3 u1, u4} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3) (MvPolynomial.{u1, u3} σ R _inst_1) (fun (a : MvPolynomial.{u1, u3} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u1, u3} σ R _inst_1) => S₁) a) (SMulHomClass.toFunLike.{max (max u4 u1) u3, u3, max u1 u3, u4} (AlgHom.{u3, max u3 u1, u4} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ (SMulZeroClass.toSMul.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (AddMonoid.toZero.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))))) (DistribSMul.toSMulZeroClass.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))))) (DistribMulAction.toDistribSMul.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))))) (Module.toDistribMulAction.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Algebra.toModule.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1))))))) (SMulZeroClass.toSMul.{u3, u4} R S₁ (AddMonoid.toZero.{u4} S₁ (AddCommMonoid.toAddMonoid.{u4} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))))) (DistribSMul.toSMulZeroClass.{u3, u4} R S₁ (AddMonoid.toAddZeroClass.{u4} S₁ (AddCommMonoid.toAddMonoid.{u4} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))))) (DistribMulAction.toDistribSMul.{u3, u4} R S₁ (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (AddCommMonoid.toAddMonoid.{u4} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2))))) (Module.toDistribMulAction.{u3, u4} R S₁ (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))) (Algebra.toModule.{u3, u4} R S₁ _inst_1 (CommSemiring.toSemiring.{u4} S₁ _inst_2) _inst_3))))) (DistribMulActionHomClass.toSMulHomClass.{max (max u4 u1) u3, u3, max u1 u3, u4} (AlgHom.{u3, max u3 u1, u4} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))))) (AddCommMonoid.toAddMonoid.{u4} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2))))) (Module.toDistribMulAction.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Algebra.toModule.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)))) (Module.toDistribMulAction.{u3, u4} R S₁ (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))) (Algebra.toModule.{u3, u4} R S₁ _inst_1 (CommSemiring.toSemiring.{u4} S₁ _inst_2) _inst_3)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max (max u4 u1) u3, u3, max u1 u3, u4} (AlgHom.{u3, max u3 u1, u4} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2))) (Module.toDistribMulAction.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Algebra.toModule.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)))) (Module.toDistribMulAction.{u3, u4} R S₁ (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))) (Algebra.toModule.{u3, u4} R S₁ _inst_1 (CommSemiring.toSemiring.{u4} S₁ _inst_2) _inst_3)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u3, max u1 u3, u4, max (max u4 u1) u3} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3 (AlgHom.{u3, max u3 u1, u4} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3) (AlgHom.algHomClass.{u3, max u1 u3, u4} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3))))) (MvPolynomial.aeval.{u3, u4, u1} R S₁ σ _inst_1 _inst_2 _inst_3 g) p)) (FunLike.coe.{max (succ u4) (succ u2), succ u4, succ u2} (RingHom.{u4, u2} S₁ B (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5))) S₁ (fun (_x : S₁) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : S₁) => B) _x) (MulHomClass.toFunLike.{max u4 u2, u4, u2} (RingHom.{u4, u2} S₁ B (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5))) S₁ B (NonUnitalNonAssocSemiring.toMul.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))) (NonUnitalNonAssocSemiring.toMul.{u2} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5)))) (NonUnitalRingHomClass.toMulHomClass.{max u4 u2, u4, u2} (RingHom.{u4, u2} S₁ B (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5))) S₁ B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5))) (RingHomClass.toNonUnitalRingHomClass.{max u4 u2, u4, u2} (RingHom.{u4, u2} S₁ B (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5))) S₁ B (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5)) (RingHom.instRingHomClassRingHom.{u4, u2} S₁ B (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5)))))) φ (FunLike.coe.{max (max (succ u4) (succ u1)) (succ u3), max (succ u1) (succ u3), succ u4} (AlgHom.{u3, max u3 u1, u4} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3) (MvPolynomial.{u1, u3} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u3} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u1, u3} σ R _inst_1) => S₁) _x) (SMulHomClass.toFunLike.{max (max u4 u1) u3, u3, max u1 u3, u4} (AlgHom.{u3, max u3 u1, u4} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ (SMulZeroClass.toSMul.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (AddMonoid.toZero.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))))) (DistribSMul.toSMulZeroClass.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))))) (DistribMulAction.toDistribSMul.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))))) (Module.toDistribMulAction.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Algebra.toModule.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1))))))) (SMulZeroClass.toSMul.{u3, u4} R S₁ (AddMonoid.toZero.{u4} S₁ (AddCommMonoid.toAddMonoid.{u4} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))))) (DistribSMul.toSMulZeroClass.{u3, u4} R S₁ (AddMonoid.toAddZeroClass.{u4} S₁ (AddCommMonoid.toAddMonoid.{u4} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))))) (DistribMulAction.toDistribSMul.{u3, u4} R S₁ (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (AddCommMonoid.toAddMonoid.{u4} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2))))) (Module.toDistribMulAction.{u3, u4} R S₁ (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))) (Algebra.toModule.{u3, u4} R S₁ _inst_1 (CommSemiring.toSemiring.{u4} S₁ _inst_2) _inst_3))))) (DistribMulActionHomClass.toSMulHomClass.{max (max u4 u1) u3, u3, max u1 u3, u4} (AlgHom.{u3, max u3 u1, u4} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))))) (AddCommMonoid.toAddMonoid.{u4} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2))))) (Module.toDistribMulAction.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Algebra.toModule.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)))) (Module.toDistribMulAction.{u3, u4} R S₁ (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))) (Algebra.toModule.{u3, u4} R S₁ _inst_1 (CommSemiring.toSemiring.{u4} S₁ _inst_2) _inst_3)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max (max u4 u1) u3, u3, max u1 u3, u4} (AlgHom.{u3, max u3 u1, u4} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2))) (Module.toDistribMulAction.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Algebra.toModule.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)))) (Module.toDistribMulAction.{u3, u4} R S₁ (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))) (Algebra.toModule.{u3, u4} R S₁ _inst_1 (CommSemiring.toSemiring.{u4} S₁ _inst_2) _inst_3)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u3, max u1 u3, u4, max (max u4 u1) u3} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3 (AlgHom.{u3, max u3 u1, u4} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3) (AlgHom.algHomClass.{u3, max u1 u3, u4} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3))))) (MvPolynomial.aeval.{u3, u4, u1} R S₁ σ _inst_1 _inst_2 _inst_3 g) p)) (FunLike.coe.{max (max (succ u3) (succ u1)) (succ u2), max (succ u3) (succ u1), succ u2} (RingHom.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) B (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5))) (MvPolynomial.{u1, u3} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u3} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u3} σ R _inst_1) => B) _x) (MulHomClass.toFunLike.{max (max u3 u1) u2, max u3 u1, u2} (RingHom.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) B (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5))) (MvPolynomial.{u1, u3} σ R _inst_1) B (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u2} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5)))) (NonUnitalRingHomClass.toMulHomClass.{max (max u3 u1) u2, max u3 u1, u2} (RingHom.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) B (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5))) (MvPolynomial.{u1, u3} σ R _inst_1) B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5))) (RingHomClass.toNonUnitalRingHomClass.{max (max u3 u1) u2, max u3 u1, u2} (RingHom.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) B (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5))) (MvPolynomial.{u1, u3} σ R _inst_1) B (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5)) (RingHom.instRingHomClassRingHom.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) B (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5)))))) (MvPolynomial.eval₂Hom.{u3, u2, u1} R B σ _inst_1 _inst_5 (RingHom.comp.{u3, u4, u2} R S₁ B (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5)) φ (algebraMap.{u3, u4} R S₁ _inst_1 (CommSemiring.toSemiring.{u4} S₁ _inst_2) _inst_3)) (fun (i : σ) => FunLike.coe.{max (succ u4) (succ u2), succ u4, succ u2} (RingHom.{u4, u2} S₁ B (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5))) S₁ (fun (_x : S₁) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : S₁) => B) _x) (MulHomClass.toFunLike.{max u4 u2, u4, u2} (RingHom.{u4, u2} S₁ B (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5))) S₁ B (NonUnitalNonAssocSemiring.toMul.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))) (NonUnitalNonAssocSemiring.toMul.{u2} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5)))) (NonUnitalRingHomClass.toMulHomClass.{max u4 u2, u4, u2} (RingHom.{u4, u2} S₁ B (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5))) S₁ B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5))) (RingHomClass.toNonUnitalRingHomClass.{max u4 u2, u4, u2} (RingHom.{u4, u2} S₁ B (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5))) S₁ B (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5)) (RingHom.instRingHomClassRingHom.{u4, u2} S₁ B (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5)))))) φ (g i))) p)
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.map_aeval MvPolynomial.map_aevalₓ'. -/
 @[simp]
 theorem map_aeval {B : Type _} [CommSemiring B] (g : σ → S₁) (φ : S₁ →+* B) (p : MvPolynomial σ R) :
@@ -2644,7 +2644,7 @@ theorem eval₂Hom_zero' (f : R →+* S₂) : eval₂Hom f (fun _ => 0 : σ →
 lean 3 declaration is
   forall {R : Type.{u1}} {S₂ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_4 : CommSemiring.{u2} S₂] (f : RingHom.{u1, u2} R S₂ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4))) (p : MvPolynomial.{u3, u1} σ R _inst_1), Eq.{succ u2} S₂ (coeFn.{max (succ (max u3 u1)) (succ u2), max (succ (max u3 u1)) (succ u2)} (RingHom.{max u3 u1, u2} (MvPolynomial.{u3, u1} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4))) (fun (_x : RingHom.{max u3 u1, u2} (MvPolynomial.{u3, u1} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4))) => (MvPolynomial.{u3, u1} σ R _inst_1) -> S₂) (RingHom.hasCoeToFun.{max u3 u1, u2} (MvPolynomial.{u3, u1} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4))) (MvPolynomial.eval₂Hom.{u1, u2, u3} R S₂ σ _inst_1 _inst_4 f (OfNat.ofNat.{max u3 u2} (σ -> S₂) 0 (OfNat.mk.{max u3 u2} (σ -> S₂) 0 (Zero.zero.{max u3 u2} (σ -> S₂) (Pi.instZero.{u3, u2} σ (fun (ᾰ : σ) => S₂) (fun (i : σ) => MulZeroClass.toHasZero.{u2} S₂ (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S₂ (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4)))))))))) p) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R S₂ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4))) (fun (_x : RingHom.{u1, u2} R S₂ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4))) => R -> S₂) (RingHom.hasCoeToFun.{u1, u2} R S₂ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4))) f (coeFn.{max (succ (max u3 u1)) (succ u1), max (succ (max u3 u1)) (succ u1)} (RingHom.{max u3 u1, u1} (MvPolynomial.{u3, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (fun (_x : RingHom.{max u3 u1, u1} (MvPolynomial.{u3, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) => (MvPolynomial.{u3, u1} σ R _inst_1) -> R) (RingHom.hasCoeToFun.{max u3 u1, u1} (MvPolynomial.{u3, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.constantCoeff.{u1, u3} R σ _inst_1) p))
 but is expected to have type
-  forall {R : Type.{u2}} {S₂ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_4 : CommSemiring.{u3} S₂] (f : RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (p : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => S₂) p) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u2) (succ u1), succ u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => S₂) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u3} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)) (RingHom.instRingHomClassRingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)))))) (MvPolynomial.eval₂Hom.{u2, u3, u1} R S₂ σ _inst_1 _inst_4 f (OfNat.ofNat.{max u3 u1} (σ -> S₂) 0 (Zero.toOfNat0.{max u3 u1} (σ -> S₂) (Pi.instZero.{u1, u3} σ (fun (a._@.Mathlib.Data.MvPolynomial.Basic._hyg.20654 : σ) => S₂) (fun (i : σ) => CommMonoidWithZero.toZero.{u3} S₂ (CommSemiring.toCommMonoidWithZero.{u3} S₂ _inst_4)))))) p) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₂) _x) (MulHomClass.toFunLike.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) R S₂ (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) R S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)) (RingHom.instRingHomClassRingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)))))) f (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), succ u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) _x) (MulHomClass.toFunLike.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (RingHom.instRingHomClassRingHom.{max u1 u2, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))))) (MvPolynomial.constantCoeff.{u2, u1} R σ _inst_1) p))
+  forall {R : Type.{u2}} {S₂ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_4 : CommSemiring.{u3} S₂] (f : RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (p : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => S₂) p) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u2) (succ u1), succ u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => S₂) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u3} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)) (RingHom.instRingHomClassRingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)))))) (MvPolynomial.eval₂Hom.{u2, u3, u1} R S₂ σ _inst_1 _inst_4 f (OfNat.ofNat.{max u3 u1} (σ -> S₂) 0 (Zero.toOfNat0.{max u3 u1} (σ -> S₂) (Pi.instZero.{u1, u3} σ (fun (a._@.Mathlib.Data.MvPolynomial.Basic._hyg.20654 : σ) => S₂) (fun (i : σ) => CommMonoidWithZero.toZero.{u3} S₂ (CommSemiring.toCommMonoidWithZero.{u3} S₂ _inst_4)))))) p) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₂) _x) (MulHomClass.toFunLike.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) R S₂ (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) R S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)) (RingHom.instRingHomClassRingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)))))) f (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), succ u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) _x) (MulHomClass.toFunLike.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (RingHom.instRingHomClassRingHom.{max u1 u2, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))))) (MvPolynomial.constantCoeff.{u2, u1} R σ _inst_1) p))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval₂_hom_zero_apply MvPolynomial.eval₂Hom_zero_applyₓ'. -/
 theorem eval₂Hom_zero_apply (f : R →+* S₂) (p : MvPolynomial σ R) :
     eval₂Hom f (0 : σ → S₂) p = f (constantCoeff p) :=
@@ -2655,7 +2655,7 @@ theorem eval₂Hom_zero_apply (f : R →+* S₂) (p : MvPolynomial σ R) :
 lean 3 declaration is
   forall {R : Type.{u1}} {S₂ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_4 : CommSemiring.{u2} S₂] (f : RingHom.{u1, u2} R S₂ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4))) (p : MvPolynomial.{u3, u1} σ R _inst_1), Eq.{succ u2} S₂ (coeFn.{max (succ (max u3 u1)) (succ u2), max (succ (max u3 u1)) (succ u2)} (RingHom.{max u3 u1, u2} (MvPolynomial.{u3, u1} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4))) (fun (_x : RingHom.{max u3 u1, u2} (MvPolynomial.{u3, u1} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4))) => (MvPolynomial.{u3, u1} σ R _inst_1) -> S₂) (RingHom.hasCoeToFun.{max u3 u1, u2} (MvPolynomial.{u3, u1} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4))) (MvPolynomial.eval₂Hom.{u1, u2, u3} R S₂ σ _inst_1 _inst_4 f (fun (_x : σ) => OfNat.ofNat.{u2} S₂ 0 (OfNat.mk.{u2} S₂ 0 (Zero.zero.{u2} S₂ (MulZeroClass.toHasZero.{u2} S₂ (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S₂ (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4))))))))) p) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R S₂ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4))) (fun (_x : RingHom.{u1, u2} R S₂ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4))) => R -> S₂) (RingHom.hasCoeToFun.{u1, u2} R S₂ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4))) f (coeFn.{max (succ (max u3 u1)) (succ u1), max (succ (max u3 u1)) (succ u1)} (RingHom.{max u3 u1, u1} (MvPolynomial.{u3, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (fun (_x : RingHom.{max u3 u1, u1} (MvPolynomial.{u3, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) => (MvPolynomial.{u3, u1} σ R _inst_1) -> R) (RingHom.hasCoeToFun.{max u3 u1, u1} (MvPolynomial.{u3, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.constantCoeff.{u1, u3} R σ _inst_1) p))
 but is expected to have type
-  forall {R : Type.{u2}} {S₂ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_4 : CommSemiring.{u3} S₂] (f : RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (p : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => S₂) p) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u2) (succ u1), succ u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => S₂) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u3} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)) (RingHom.instRingHomClassRingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)))))) (MvPolynomial.eval₂Hom.{u2, u3, u1} R S₂ σ _inst_1 _inst_4 f (fun (_x : σ) => OfNat.ofNat.{u3} S₂ 0 (Zero.toOfNat0.{u3} S₂ (CommMonoidWithZero.toZero.{u3} S₂ (CommSemiring.toCommMonoidWithZero.{u3} S₂ _inst_4))))) p) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₂) _x) (MulHomClass.toFunLike.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) R S₂ (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) R S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)) (RingHom.instRingHomClassRingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)))))) f (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), succ u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) _x) (MulHomClass.toFunLike.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (RingHom.instRingHomClassRingHom.{max u1 u2, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))))) (MvPolynomial.constantCoeff.{u2, u1} R σ _inst_1) p))
+  forall {R : Type.{u2}} {S₂ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_4 : CommSemiring.{u3} S₂] (f : RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (p : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => S₂) p) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u2) (succ u1), succ u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => S₂) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u3} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)) (RingHom.instRingHomClassRingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)))))) (MvPolynomial.eval₂Hom.{u2, u3, u1} R S₂ σ _inst_1 _inst_4 f (fun (_x : σ) => OfNat.ofNat.{u3} S₂ 0 (Zero.toOfNat0.{u3} S₂ (CommMonoidWithZero.toZero.{u3} S₂ (CommSemiring.toCommMonoidWithZero.{u3} S₂ _inst_4))))) p) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₂) _x) (MulHomClass.toFunLike.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) R S₂ (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) R S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)) (RingHom.instRingHomClassRingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)))))) f (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), succ u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) _x) (MulHomClass.toFunLike.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (RingHom.instRingHomClassRingHom.{max u1 u2, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))))) (MvPolynomial.constantCoeff.{u2, u1} R σ _inst_1) p))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval₂_hom_zero'_apply MvPolynomial.eval₂Hom_zero'_applyₓ'. -/
 theorem eval₂Hom_zero'_apply (f : R →+* S₂) (p : MvPolynomial σ R) :
     eval₂Hom f (fun _ => 0 : σ → S₂) p = f (constantCoeff p) :=
@@ -2666,7 +2666,7 @@ theorem eval₂Hom_zero'_apply (f : R →+* S₂) (p : MvPolynomial σ R) :
 lean 3 declaration is
   forall {R : Type.{u1}} {S₂ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_4 : CommSemiring.{u2} S₂] (f : RingHom.{u1, u2} R S₂ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4))) (p : MvPolynomial.{u3, u1} σ R _inst_1), Eq.{succ u2} S₂ (MvPolynomial.eval₂.{u1, u2, u3} R S₂ σ _inst_1 _inst_4 f (OfNat.ofNat.{max u3 u2} (σ -> S₂) 0 (OfNat.mk.{max u3 u2} (σ -> S₂) 0 (Zero.zero.{max u3 u2} (σ -> S₂) (Pi.instZero.{u3, u2} σ (fun (ᾰ : σ) => S₂) (fun (i : σ) => MulZeroClass.toHasZero.{u2} S₂ (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S₂ (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4))))))))) p) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R S₂ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4))) (fun (_x : RingHom.{u1, u2} R S₂ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4))) => R -> S₂) (RingHom.hasCoeToFun.{u1, u2} R S₂ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4))) f (coeFn.{max (succ (max u3 u1)) (succ u1), max (succ (max u3 u1)) (succ u1)} (RingHom.{max u3 u1, u1} (MvPolynomial.{u3, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (fun (_x : RingHom.{max u3 u1, u1} (MvPolynomial.{u3, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) => (MvPolynomial.{u3, u1} σ R _inst_1) -> R) (RingHom.hasCoeToFun.{max u3 u1, u1} (MvPolynomial.{u3, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.constantCoeff.{u1, u3} R σ _inst_1) p))
 but is expected to have type
-  forall {R : Type.{u2}} {S₂ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_4 : CommSemiring.{u3} S₂] (f : RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (p : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{succ u3} S₂ (MvPolynomial.eval₂.{u2, u3, u1} R S₂ σ _inst_1 _inst_4 f (OfNat.ofNat.{max u3 u1} (σ -> S₂) 0 (Zero.toOfNat0.{max u3 u1} (σ -> S₂) (Pi.instZero.{u1, u3} σ (fun (a._@.Mathlib.Data.MvPolynomial.Basic._hyg.20813 : σ) => S₂) (fun (i : σ) => CommMonoidWithZero.toZero.{u3} S₂ (CommSemiring.toCommMonoidWithZero.{u3} S₂ _inst_4))))) p) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₂) _x) (MulHomClass.toFunLike.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) R S₂ (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) R S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)) (RingHom.instRingHomClassRingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)))))) f (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), succ u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) _x) (MulHomClass.toFunLike.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (RingHom.instRingHomClassRingHom.{max u1 u2, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))))) (MvPolynomial.constantCoeff.{u2, u1} R σ _inst_1) p))
+  forall {R : Type.{u2}} {S₂ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_4 : CommSemiring.{u3} S₂] (f : RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (p : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{succ u3} S₂ (MvPolynomial.eval₂.{u2, u3, u1} R S₂ σ _inst_1 _inst_4 f (OfNat.ofNat.{max u3 u1} (σ -> S₂) 0 (Zero.toOfNat0.{max u3 u1} (σ -> S₂) (Pi.instZero.{u1, u3} σ (fun (a._@.Mathlib.Data.MvPolynomial.Basic._hyg.20813 : σ) => S₂) (fun (i : σ) => CommMonoidWithZero.toZero.{u3} S₂ (CommSemiring.toCommMonoidWithZero.{u3} S₂ _inst_4))))) p) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₂) _x) (MulHomClass.toFunLike.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) R S₂ (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) R S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)) (RingHom.instRingHomClassRingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)))))) f (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), succ u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) _x) (MulHomClass.toFunLike.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (RingHom.instRingHomClassRingHom.{max u1 u2, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))))) (MvPolynomial.constantCoeff.{u2, u1} R σ _inst_1) p))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval₂_zero_apply MvPolynomial.eval₂_zero_applyₓ'. -/
 @[simp]
 theorem eval₂_zero_apply (f : R →+* S₂) (p : MvPolynomial σ R) :
@@ -2678,7 +2678,7 @@ theorem eval₂_zero_apply (f : R →+* S₂) (p : MvPolynomial σ R) :
 lean 3 declaration is
   forall {R : Type.{u1}} {S₂ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_4 : CommSemiring.{u2} S₂] (f : RingHom.{u1, u2} R S₂ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4))) (p : MvPolynomial.{u3, u1} σ R _inst_1), Eq.{succ u2} S₂ (MvPolynomial.eval₂.{u1, u2, u3} R S₂ σ _inst_1 _inst_4 f (fun (_x : σ) => OfNat.ofNat.{u2} S₂ 0 (OfNat.mk.{u2} S₂ 0 (Zero.zero.{u2} S₂ (MulZeroClass.toHasZero.{u2} S₂ (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S₂ (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4)))))))) p) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R S₂ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4))) (fun (_x : RingHom.{u1, u2} R S₂ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4))) => R -> S₂) (RingHom.hasCoeToFun.{u1, u2} R S₂ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4))) f (coeFn.{max (succ (max u3 u1)) (succ u1), max (succ (max u3 u1)) (succ u1)} (RingHom.{max u3 u1, u1} (MvPolynomial.{u3, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (fun (_x : RingHom.{max u3 u1, u1} (MvPolynomial.{u3, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) => (MvPolynomial.{u3, u1} σ R _inst_1) -> R) (RingHom.hasCoeToFun.{max u3 u1, u1} (MvPolynomial.{u3, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.constantCoeff.{u1, u3} R σ _inst_1) p))
 but is expected to have type
-  forall {R : Type.{u2}} {S₂ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_4 : CommSemiring.{u3} S₂] (f : RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (p : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{succ u3} S₂ (MvPolynomial.eval₂.{u2, u3, u1} R S₂ σ _inst_1 _inst_4 f (fun (_x : σ) => OfNat.ofNat.{u3} S₂ 0 (Zero.toOfNat0.{u3} S₂ (CommMonoidWithZero.toZero.{u3} S₂ (CommSemiring.toCommMonoidWithZero.{u3} S₂ _inst_4)))) p) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₂) _x) (MulHomClass.toFunLike.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) R S₂ (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) R S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)) (RingHom.instRingHomClassRingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)))))) f (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), succ u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) _x) (MulHomClass.toFunLike.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (RingHom.instRingHomClassRingHom.{max u1 u2, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))))) (MvPolynomial.constantCoeff.{u2, u1} R σ _inst_1) p))
+  forall {R : Type.{u2}} {S₂ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_4 : CommSemiring.{u3} S₂] (f : RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (p : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{succ u3} S₂ (MvPolynomial.eval₂.{u2, u3, u1} R S₂ σ _inst_1 _inst_4 f (fun (_x : σ) => OfNat.ofNat.{u3} S₂ 0 (Zero.toOfNat0.{u3} S₂ (CommMonoidWithZero.toZero.{u3} S₂ (CommSemiring.toCommMonoidWithZero.{u3} S₂ _inst_4)))) p) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₂) _x) (MulHomClass.toFunLike.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) R S₂ (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) R S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)) (RingHom.instRingHomClassRingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)))))) f (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), succ u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) _x) (MulHomClass.toFunLike.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (RingHom.instRingHomClassRingHom.{max u1 u2, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))))) (MvPolynomial.constantCoeff.{u2, u1} R σ _inst_1) p))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval₂_zero'_apply MvPolynomial.eval₂_zero'_applyₓ'. -/
 @[simp]
 theorem eval₂_zero'_apply (f : R →+* S₂) (p : MvPolynomial σ R) :
@@ -2690,7 +2690,7 @@ theorem eval₂_zero'_apply (f : R →+* S₂) (p : MvPolynomial σ R) :
 lean 3 declaration is
   forall {R : Type.{u1}} {S₁ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] [_inst_3 : Algebra.{u1, u2} R S₁ _inst_1 (CommSemiring.toSemiring.{u2} S₁ _inst_2)] (p : MvPolynomial.{u3, u1} σ R _inst_1), Eq.{succ u2} S₁ (coeFn.{max (succ (max u3 u1)) (succ u2), max (succ (max u3 u1)) (succ u2)} (AlgHom.{u1, max u3 u1, u2} R (MvPolynomial.{u3, u1} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (CommSemiring.toSemiring.{u2} S₁ _inst_2) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_3) (fun (_x : AlgHom.{u1, max u3 u1, u2} R (MvPolynomial.{u3, u1} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (CommSemiring.toSemiring.{u2} S₁ _inst_2) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_3) => (MvPolynomial.{u3, u1} σ R _inst_1) -> S₁) ([anonymous].{u1, max u3 u1, u2} R (MvPolynomial.{u3, u1} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (CommSemiring.toSemiring.{u2} S₁ _inst_2) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_3) (MvPolynomial.aeval.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 _inst_3 (OfNat.ofNat.{max u3 u2} (σ -> S₁) 0 (OfNat.mk.{max u3 u2} (σ -> S₁) 0 (Zero.zero.{max u3 u2} (σ -> S₁) (Pi.instZero.{u3, u2} σ (fun (ᾰ : σ) => S₁) (fun (i : σ) => MulZeroClass.toHasZero.{u2} S₁ (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S₁ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)))))))))) p) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (fun (_x : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) => R -> S₁) (RingHom.hasCoeToFun.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (algebraMap.{u1, u2} R S₁ _inst_1 (CommSemiring.toSemiring.{u2} S₁ _inst_2) _inst_3) (coeFn.{max (succ (max u3 u1)) (succ u1), max (succ (max u3 u1)) (succ u1)} (RingHom.{max u3 u1, u1} (MvPolynomial.{u3, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (fun (_x : RingHom.{max u3 u1, u1} (MvPolynomial.{u3, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) => (MvPolynomial.{u3, u1} σ R _inst_1) -> R) (RingHom.hasCoeToFun.{max u3 u1, u1} (MvPolynomial.{u3, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.constantCoeff.{u1, u3} R σ _inst_1) p))
 but is expected to have type
-  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] [_inst_3 : Algebra.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2)] (p : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u1, u2} σ R _inst_1) => S₁) p) (FunLike.coe.{max (max (succ u3) (succ u1)) (succ u2), max (succ u1) (succ u2), succ u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u1, u2} σ R _inst_1) => S₁) _x) (SMulHomClass.toFunLike.{max (max u3 u1) u2, u2, max u1 u2, u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (SMulZeroClass.toSMul.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (AddMonoid.toZero.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (DistribSMul.toSMulZeroClass.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (DistribMulAction.toDistribSMul.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))))))) (SMulZeroClass.toSMul.{u2, u3} R S₁ (AddMonoid.toZero.{u3} S₁ (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (DistribSMul.toSMulZeroClass.{u2, u3} R S₁ (AddMonoid.toAddZeroClass.{u3} S₁ (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (DistribMulAction.toDistribSMul.{u2, u3} R S₁ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))))) (Module.toDistribMulAction.{u2, u3} R S₁ (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (Algebra.toModule.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3))))) (DistribMulActionHomClass.toSMulHomClass.{max (max u3 u1) u2, u2, max u1 u2, u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (Module.toDistribMulAction.{u2, u3} R S₁ (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (Algebra.toModule.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max (max u3 u1) u2, u2, max u1 u2, u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (Module.toDistribMulAction.{u2, u3} R S₁ (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (Algebra.toModule.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u2, max u1 u2, u3, max (max u3 u1) u2} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3 (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) (AlgHom.algHomClass.{u2, max u1 u2, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3))))) (MvPolynomial.aeval.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 _inst_3 (OfNat.ofNat.{max u3 u1} (σ -> S₁) 0 (Zero.toOfNat0.{max u3 u1} (σ -> S₁) (Pi.instZero.{u1, u3} σ (fun (a._@.Mathlib.Data.MvPolynomial.Basic._hyg.20961 : σ) => S₁) (fun (i : σ) => CommMonoidWithZero.toZero.{u3} S₁ (CommSemiring.toCommMonoidWithZero.{u3} S₁ _inst_2)))))) p) (FunLike.coe.{max (succ u3) (succ u2), succ u2, succ u3} (RingHom.{u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (fun (_x : (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) => S₁) _x) (MulHomClass.toFunLike.{max u3 u2, u2, u3} (RingHom.{u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (NonUnitalNonAssocSemiring.toMul.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u3 u2, u2, u3} (RingHom.{u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u3 u2, u2, u3} (RingHom.{u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (algebraMap.{u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3) (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), succ u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) _x) (MulHomClass.toFunLike.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (RingHom.instRingHomClassRingHom.{max u1 u2, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))))) (MvPolynomial.constantCoeff.{u2, u1} R σ _inst_1) p))
+  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] [_inst_3 : Algebra.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2)] (p : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u1, u2} σ R _inst_1) => S₁) p) (FunLike.coe.{max (max (succ u3) (succ u1)) (succ u2), max (succ u1) (succ u2), succ u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u1, u2} σ R _inst_1) => S₁) _x) (SMulHomClass.toFunLike.{max (max u3 u1) u2, u2, max u1 u2, u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (SMulZeroClass.toSMul.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (AddMonoid.toZero.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (DistribSMul.toSMulZeroClass.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (DistribMulAction.toDistribSMul.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))))))) (SMulZeroClass.toSMul.{u2, u3} R S₁ (AddMonoid.toZero.{u3} S₁ (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (DistribSMul.toSMulZeroClass.{u2, u3} R S₁ (AddMonoid.toAddZeroClass.{u3} S₁ (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (DistribMulAction.toDistribSMul.{u2, u3} R S₁ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))))) (Module.toDistribMulAction.{u2, u3} R S₁ (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (Algebra.toModule.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3))))) (DistribMulActionHomClass.toSMulHomClass.{max (max u3 u1) u2, u2, max u1 u2, u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (Module.toDistribMulAction.{u2, u3} R S₁ (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (Algebra.toModule.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max (max u3 u1) u2, u2, max u1 u2, u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (Module.toDistribMulAction.{u2, u3} R S₁ (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (Algebra.toModule.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u2, max u1 u2, u3, max (max u3 u1) u2} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3 (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) (AlgHom.algHomClass.{u2, max u1 u2, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3))))) (MvPolynomial.aeval.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 _inst_3 (OfNat.ofNat.{max u3 u1} (σ -> S₁) 0 (Zero.toOfNat0.{max u3 u1} (σ -> S₁) (Pi.instZero.{u1, u3} σ (fun (a._@.Mathlib.Data.MvPolynomial.Basic._hyg.20961 : σ) => S₁) (fun (i : σ) => CommMonoidWithZero.toZero.{u3} S₁ (CommSemiring.toCommMonoidWithZero.{u3} S₁ _inst_2)))))) p) (FunLike.coe.{max (succ u3) (succ u2), succ u2, succ u3} (RingHom.{u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (fun (_x : (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) => S₁) _x) (MulHomClass.toFunLike.{max u3 u2, u2, u3} (RingHom.{u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (NonUnitalNonAssocSemiring.toMul.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u3 u2, u2, u3} (RingHom.{u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u3 u2, u2, u3} (RingHom.{u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (algebraMap.{u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3) (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), succ u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) _x) (MulHomClass.toFunLike.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (RingHom.instRingHomClassRingHom.{max u1 u2, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))))) (MvPolynomial.constantCoeff.{u2, u1} R σ _inst_1) p))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.aeval_zero MvPolynomial.aeval_zeroₓ'. -/
 @[simp]
 theorem aeval_zero (p : MvPolynomial σ R) :
@@ -2702,7 +2702,7 @@ theorem aeval_zero (p : MvPolynomial σ R) :
 lean 3 declaration is
   forall {R : Type.{u1}} {S₁ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] [_inst_3 : Algebra.{u1, u2} R S₁ _inst_1 (CommSemiring.toSemiring.{u2} S₁ _inst_2)] (p : MvPolynomial.{u3, u1} σ R _inst_1), Eq.{succ u2} S₁ (coeFn.{max (succ (max u3 u1)) (succ u2), max (succ (max u3 u1)) (succ u2)} (AlgHom.{u1, max u3 u1, u2} R (MvPolynomial.{u3, u1} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (CommSemiring.toSemiring.{u2} S₁ _inst_2) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_3) (fun (_x : AlgHom.{u1, max u3 u1, u2} R (MvPolynomial.{u3, u1} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (CommSemiring.toSemiring.{u2} S₁ _inst_2) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_3) => (MvPolynomial.{u3, u1} σ R _inst_1) -> S₁) ([anonymous].{u1, max u3 u1, u2} R (MvPolynomial.{u3, u1} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (CommSemiring.toSemiring.{u2} S₁ _inst_2) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_3) (MvPolynomial.aeval.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 _inst_3 (fun (_x : σ) => OfNat.ofNat.{u2} S₁ 0 (OfNat.mk.{u2} S₁ 0 (Zero.zero.{u2} S₁ (MulZeroClass.toHasZero.{u2} S₁ (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S₁ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))))))))) p) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (fun (_x : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) => R -> S₁) (RingHom.hasCoeToFun.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (algebraMap.{u1, u2} R S₁ _inst_1 (CommSemiring.toSemiring.{u2} S₁ _inst_2) _inst_3) (coeFn.{max (succ (max u3 u1)) (succ u1), max (succ (max u3 u1)) (succ u1)} (RingHom.{max u3 u1, u1} (MvPolynomial.{u3, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (fun (_x : RingHom.{max u3 u1, u1} (MvPolynomial.{u3, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) => (MvPolynomial.{u3, u1} σ R _inst_1) -> R) (RingHom.hasCoeToFun.{max u3 u1, u1} (MvPolynomial.{u3, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.constantCoeff.{u1, u3} R σ _inst_1) p))
 but is expected to have type
-  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] [_inst_3 : Algebra.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2)] (p : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u1, u2} σ R _inst_1) => S₁) p) (FunLike.coe.{max (max (succ u3) (succ u1)) (succ u2), max (succ u1) (succ u2), succ u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u1, u2} σ R _inst_1) => S₁) _x) (SMulHomClass.toFunLike.{max (max u3 u1) u2, u2, max u1 u2, u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (SMulZeroClass.toSMul.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (AddMonoid.toZero.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (DistribSMul.toSMulZeroClass.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (DistribMulAction.toDistribSMul.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))))))) (SMulZeroClass.toSMul.{u2, u3} R S₁ (AddMonoid.toZero.{u3} S₁ (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (DistribSMul.toSMulZeroClass.{u2, u3} R S₁ (AddMonoid.toAddZeroClass.{u3} S₁ (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (DistribMulAction.toDistribSMul.{u2, u3} R S₁ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))))) (Module.toDistribMulAction.{u2, u3} R S₁ (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (Algebra.toModule.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3))))) (DistribMulActionHomClass.toSMulHomClass.{max (max u3 u1) u2, u2, max u1 u2, u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (Module.toDistribMulAction.{u2, u3} R S₁ (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (Algebra.toModule.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max (max u3 u1) u2, u2, max u1 u2, u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (Module.toDistribMulAction.{u2, u3} R S₁ (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (Algebra.toModule.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u2, max u1 u2, u3, max (max u3 u1) u2} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3 (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) (AlgHom.algHomClass.{u2, max u1 u2, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3))))) (MvPolynomial.aeval.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 _inst_3 (fun (_x : σ) => OfNat.ofNat.{u3} S₁ 0 (Zero.toOfNat0.{u3} S₁ (CommMonoidWithZero.toZero.{u3} S₁ (CommSemiring.toCommMonoidWithZero.{u3} S₁ _inst_2))))) p) (FunLike.coe.{max (succ u3) (succ u2), succ u2, succ u3} (RingHom.{u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (fun (_x : (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) => S₁) _x) (MulHomClass.toFunLike.{max u3 u2, u2, u3} (RingHom.{u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (NonUnitalNonAssocSemiring.toMul.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u3 u2, u2, u3} (RingHom.{u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u3 u2, u2, u3} (RingHom.{u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (algebraMap.{u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3) (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), succ u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) _x) (MulHomClass.toFunLike.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (RingHom.instRingHomClassRingHom.{max u1 u2, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))))) (MvPolynomial.constantCoeff.{u2, u1} R σ _inst_1) p))
+  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] [_inst_3 : Algebra.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2)] (p : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u1, u2} σ R _inst_1) => S₁) p) (FunLike.coe.{max (max (succ u3) (succ u1)) (succ u2), max (succ u1) (succ u2), succ u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u1, u2} σ R _inst_1) => S₁) _x) (SMulHomClass.toFunLike.{max (max u3 u1) u2, u2, max u1 u2, u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (SMulZeroClass.toSMul.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (AddMonoid.toZero.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (DistribSMul.toSMulZeroClass.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (DistribMulAction.toDistribSMul.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))))))) (SMulZeroClass.toSMul.{u2, u3} R S₁ (AddMonoid.toZero.{u3} S₁ (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (DistribSMul.toSMulZeroClass.{u2, u3} R S₁ (AddMonoid.toAddZeroClass.{u3} S₁ (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (DistribMulAction.toDistribSMul.{u2, u3} R S₁ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))))) (Module.toDistribMulAction.{u2, u3} R S₁ (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (Algebra.toModule.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3))))) (DistribMulActionHomClass.toSMulHomClass.{max (max u3 u1) u2, u2, max u1 u2, u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (Module.toDistribMulAction.{u2, u3} R S₁ (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (Algebra.toModule.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max (max u3 u1) u2, u2, max u1 u2, u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (Module.toDistribMulAction.{u2, u3} R S₁ (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (Algebra.toModule.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u2, max u1 u2, u3, max (max u3 u1) u2} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3 (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) (AlgHom.algHomClass.{u2, max u1 u2, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3))))) (MvPolynomial.aeval.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 _inst_3 (fun (_x : σ) => OfNat.ofNat.{u3} S₁ 0 (Zero.toOfNat0.{u3} S₁ (CommMonoidWithZero.toZero.{u3} S₁ (CommSemiring.toCommMonoidWithZero.{u3} S₁ _inst_2))))) p) (FunLike.coe.{max (succ u3) (succ u2), succ u2, succ u3} (RingHom.{u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (fun (_x : (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) => S₁) _x) (MulHomClass.toFunLike.{max u3 u2, u2, u3} (RingHom.{u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (NonUnitalNonAssocSemiring.toMul.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u3 u2, u2, u3} (RingHom.{u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u3 u2, u2, u3} (RingHom.{u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (algebraMap.{u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3) (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), succ u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => R) _x) (MulHomClass.toFunLike.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (RingHom.instRingHomClassRingHom.{max u1 u2, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))))) (MvPolynomial.constantCoeff.{u2, u1} R σ _inst_1) p))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.aeval_zero' MvPolynomial.aeval_zero'ₓ'. -/
 @[simp]
 theorem aeval_zero' (p : MvPolynomial σ R) :
@@ -2736,7 +2736,7 @@ theorem eval_zero' : eval (fun _ => 0 : σ → R) = constantCoeff :=
 lean 3 declaration is
   forall {R : Type.{u1}} {S₁ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] [_inst_3 : Algebra.{u1, u2} R S₁ _inst_1 (CommSemiring.toSemiring.{u2} S₁ _inst_2)] (g : σ -> S₁) (d : Finsupp.{u3, 0} σ Nat Nat.hasZero) (r : R), Eq.{succ u2} S₁ (coeFn.{max (succ (max u3 u1)) (succ u2), max (succ (max u3 u1)) (succ u2)} (AlgHom.{u1, max u3 u1, u2} R (MvPolynomial.{u3, u1} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (CommSemiring.toSemiring.{u2} S₁ _inst_2) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_3) (fun (_x : AlgHom.{u1, max u3 u1, u2} R (MvPolynomial.{u3, u1} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (CommSemiring.toSemiring.{u2} S₁ _inst_2) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_3) => (MvPolynomial.{u3, u1} σ R _inst_1) -> S₁) ([anonymous].{u1, max u3 u1, u2} R (MvPolynomial.{u3, u1} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (CommSemiring.toSemiring.{u2} S₁ _inst_2) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_3) (MvPolynomial.aeval.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 _inst_3 g) (coeFn.{max (succ u1) (succ (max u3 u1)), max (succ u1) (succ (max u3 u1))} (LinearMap.{u1, u1, u1, max u3 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u3, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u3 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u3, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u3, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u3 u1} R R R (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u3} R σ _inst_1 d) r)) (HMul.hMul.{u2, u2, u2} S₁ S₁ S₁ (instHMul.{u2} S₁ (Distrib.toHasMul.{u2} S₁ (NonUnitalNonAssocSemiring.toDistrib.{u2} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S₁ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)))))) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (fun (_x : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) => R -> S₁) (RingHom.hasCoeToFun.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (algebraMap.{u1, u2} R S₁ _inst_1 (CommSemiring.toSemiring.{u2} S₁ _inst_2) _inst_3) r) (Finsupp.prod.{u3, 0, u2} σ Nat S₁ Nat.hasZero (CommSemiring.toCommMonoid.{u2} S₁ _inst_2) d (fun (i : σ) (k : Nat) => HPow.hPow.{u2, 0, u2} S₁ Nat S₁ (instHPow.{u2, 0} S₁ Nat (Monoid.Pow.{u2} S₁ (MonoidWithZero.toMonoid.{u2} S₁ (Semiring.toMonoidWithZero.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))))) (g i) k)))
 but is expected to have type
-  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] [_inst_3 : Algebra.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2)] (g : σ -> S₁) (d : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (r : R), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u1, u2} σ R _inst_1) => S₁) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (a : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 d) r)) (FunLike.coe.{max (max (succ u3) (succ u1)) (succ u2), max (succ u1) (succ u2), succ u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u1, u2} σ R _inst_1) => S₁) _x) (SMulHomClass.toFunLike.{max (max u3 u1) u2, u2, max u1 u2, u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (SMulZeroClass.toSMul.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (AddMonoid.toZero.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (DistribSMul.toSMulZeroClass.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (DistribMulAction.toDistribSMul.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))))))) (SMulZeroClass.toSMul.{u2, u3} R S₁ (AddMonoid.toZero.{u3} S₁ (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (DistribSMul.toSMulZeroClass.{u2, u3} R S₁ (AddMonoid.toAddZeroClass.{u3} S₁ (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (DistribMulAction.toDistribSMul.{u2, u3} R S₁ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))))) (Module.toDistribMulAction.{u2, u3} R S₁ (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (Algebra.toModule.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3))))) (DistribMulActionHomClass.toSMulHomClass.{max (max u3 u1) u2, u2, max u1 u2, u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (Module.toDistribMulAction.{u2, u3} R S₁ (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (Algebra.toModule.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max (max u3 u1) u2, u2, max u1 u2, u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (Module.toDistribMulAction.{u2, u3} R S₁ (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (Algebra.toModule.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u2, max u1 u2, u3, max (max u3 u1) u2} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3 (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) (AlgHom.algHomClass.{u2, max u1 u2, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3))))) (MvPolynomial.aeval.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 _inst_3 g) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 d) r)) (HMul.hMul.{u3, u3, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) S₁ ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u1, u2} σ R _inst_1) => S₁) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (a : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 d) r)) (instHMul.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) (NonUnitalNonAssocSemiring.toMul.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) (Semiring.toNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) _inst_2))))) (FunLike.coe.{max (succ u3) (succ u2), succ u2, succ u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) _x) (MulHomClass.toFunLike.{max u3 u2, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u3 u2, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u3 u2, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (algebraMap.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3) r) (Finsupp.prod.{u1, 0, u3} σ Nat S₁ (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) (CommSemiring.toCommMonoid.{u3} S₁ _inst_2) d (fun (i : σ) (k : Nat) => HPow.hPow.{u3, 0, u3} S₁ Nat S₁ (instHPow.{u3, 0} S₁ Nat (Monoid.Pow.{u3} S₁ (MonoidWithZero.toMonoid.{u3} S₁ (Semiring.toMonoidWithZero.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))))) (g i) k)))
+  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] [_inst_3 : Algebra.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2)] (g : σ -> S₁) (d : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (r : R), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u1, u2} σ R _inst_1) => S₁) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (a : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 d) r)) (FunLike.coe.{max (max (succ u3) (succ u1)) (succ u2), max (succ u1) (succ u2), succ u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u1, u2} σ R _inst_1) => S₁) _x) (SMulHomClass.toFunLike.{max (max u3 u1) u2, u2, max u1 u2, u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (SMulZeroClass.toSMul.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (AddMonoid.toZero.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (DistribSMul.toSMulZeroClass.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (DistribMulAction.toDistribSMul.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))))))) (SMulZeroClass.toSMul.{u2, u3} R S₁ (AddMonoid.toZero.{u3} S₁ (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (DistribSMul.toSMulZeroClass.{u2, u3} R S₁ (AddMonoid.toAddZeroClass.{u3} S₁ (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (DistribMulAction.toDistribSMul.{u2, u3} R S₁ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))))) (Module.toDistribMulAction.{u2, u3} R S₁ (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (Algebra.toModule.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3))))) (DistribMulActionHomClass.toSMulHomClass.{max (max u3 u1) u2, u2, max u1 u2, u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (Module.toDistribMulAction.{u2, u3} R S₁ (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (Algebra.toModule.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max (max u3 u1) u2, u2, max u1 u2, u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (Module.toDistribMulAction.{u2, u3} R S₁ (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (Algebra.toModule.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u2, max u1 u2, u3, max (max u3 u1) u2} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3 (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) (AlgHom.algHomClass.{u2, max u1 u2, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3))))) (MvPolynomial.aeval.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 _inst_3 g) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 d) r)) (HMul.hMul.{u3, u3, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) S₁ ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u1, u2} σ R _inst_1) => S₁) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (a : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 d) r)) (instHMul.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) (NonUnitalNonAssocSemiring.toMul.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) (Semiring.toNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) r) _inst_2))))) (FunLike.coe.{max (succ u3) (succ u2), succ u2, succ u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S₁) _x) (MulHomClass.toFunLike.{max u3 u2, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u3 u2, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u3 u2, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (algebraMap.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3) r) (Finsupp.prod.{u1, 0, u3} σ Nat S₁ (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) (CommSemiring.toCommMonoid.{u3} S₁ _inst_2) d (fun (i : σ) (k : Nat) => HPow.hPow.{u3, 0, u3} S₁ Nat S₁ (instHPow.{u3, 0} S₁ Nat (Monoid.Pow.{u3} S₁ (MonoidWithZero.toMonoid.{u3} S₁ (Semiring.toMonoidWithZero.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))))) (g i) k)))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.aeval_monomial MvPolynomial.aeval_monomialₓ'. -/
 theorem aeval_monomial (g : σ → S₁) (d : σ →₀ ℕ) (r : R) :
     aeval g (monomial d r) = algebraMap _ _ r * d.Prod fun i k => g i ^ k :=
@@ -2747,7 +2747,7 @@ theorem aeval_monomial (g : σ → S₁) (d : σ →₀ ℕ) (r : R) :
 lean 3 declaration is
   forall {R : Type.{u1}} {S₂ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_4 : CommSemiring.{u2} S₂] (f : RingHom.{u1, u2} R S₂ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4))) (g : σ -> S₂) (φ : MvPolynomial.{u3, u1} σ R _inst_1), (forall (d : Finsupp.{u3, 0} σ Nat Nat.hasZero), (Ne.{succ u1} R (MvPolynomial.coeff.{u1, u3} R σ _inst_1 d φ) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))))))) -> (Exists.{succ u3} σ (fun (i : σ) => Exists.{0} (Membership.Mem.{u3, u3} σ (Finset.{u3} σ) (Finset.hasMem.{u3} σ) i (Finsupp.support.{u3, 0} σ Nat Nat.hasZero d)) (fun (H : Membership.Mem.{u3, u3} σ (Finset.{u3} σ) (Finset.hasMem.{u3} σ) i (Finsupp.support.{u3, 0} σ Nat Nat.hasZero d)) => Eq.{succ u2} S₂ (g i) (OfNat.ofNat.{u2} S₂ 0 (OfNat.mk.{u2} S₂ 0 (Zero.zero.{u2} S₂ (MulZeroClass.toHasZero.{u2} S₂ (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S₂ (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4)))))))))))) -> (Eq.{succ u2} S₂ (coeFn.{max (succ (max u3 u1)) (succ u2), max (succ (max u3 u1)) (succ u2)} (RingHom.{max u3 u1, u2} (MvPolynomial.{u3, u1} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4))) (fun (_x : RingHom.{max u3 u1, u2} (MvPolynomial.{u3, u1} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4))) => (MvPolynomial.{u3, u1} σ R _inst_1) -> S₂) (RingHom.hasCoeToFun.{max u3 u1, u2} (MvPolynomial.{u3, u1} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4))) (MvPolynomial.eval₂Hom.{u1, u2, u3} R S₂ σ _inst_1 _inst_4 f g) φ) (OfNat.ofNat.{u2} S₂ 0 (OfNat.mk.{u2} S₂ 0 (Zero.zero.{u2} S₂ (MulZeroClass.toHasZero.{u2} S₂ (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S₂ (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4)))))))))
 but is expected to have type
-  forall {R : Type.{u2}} {S₂ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_4 : CommSemiring.{u3} S₂] (f : RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (g : σ -> S₂) (φ : MvPolynomial.{u1, u2} σ R _inst_1), (forall (d : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)), (Ne.{succ u2} R (MvPolynomial.coeff.{u2, u1} R σ _inst_1 d φ) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))))) -> (Exists.{succ u1} σ (fun (i : σ) => And (Membership.mem.{u1, u1} σ (Finset.{u1} σ) (Finset.instMembershipFinset.{u1} σ) i (Finsupp.support.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) d)) (Eq.{succ u3} S₂ (g i) (OfNat.ofNat.{u3} S₂ 0 (Zero.toOfNat0.{u3} S₂ (CommMonoidWithZero.toZero.{u3} S₂ (CommSemiring.toCommMonoidWithZero.{u3} S₂ _inst_4)))))))) -> (Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => S₂) φ) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u2) (succ u1), succ u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => S₂) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u3} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)) (RingHom.instRingHomClassRingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)))))) (MvPolynomial.eval₂Hom.{u2, u3, u1} R S₂ σ _inst_1 _inst_4 f g) φ) (OfNat.ofNat.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => S₂) φ) 0 (Zero.toOfNat0.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => S₂) φ) (CommMonoidWithZero.toZero.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => S₂) φ) (CommSemiring.toCommMonoidWithZero.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => S₂) φ) _inst_4)))))
+  forall {R : Type.{u2}} {S₂ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_4 : CommSemiring.{u3} S₂] (f : RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (g : σ -> S₂) (φ : MvPolynomial.{u1, u2} σ R _inst_1), (forall (d : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)), (Ne.{succ u2} R (MvPolynomial.coeff.{u2, u1} R σ _inst_1 d φ) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))))) -> (Exists.{succ u1} σ (fun (i : σ) => And (Membership.mem.{u1, u1} σ (Finset.{u1} σ) (Finset.instMembershipFinset.{u1} σ) i (Finsupp.support.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) d)) (Eq.{succ u3} S₂ (g i) (OfNat.ofNat.{u3} S₂ 0 (Zero.toOfNat0.{u3} S₂ (CommMonoidWithZero.toZero.{u3} S₂ (CommSemiring.toCommMonoidWithZero.{u3} S₂ _inst_4)))))))) -> (Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => S₂) φ) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u2) (succ u1), succ u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => S₂) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u3} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)) (RingHom.instRingHomClassRingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)))))) (MvPolynomial.eval₂Hom.{u2, u3, u1} R S₂ σ _inst_1 _inst_4 f g) φ) (OfNat.ofNat.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => S₂) φ) 0 (Zero.toOfNat0.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => S₂) φ) (CommMonoidWithZero.toZero.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => S₂) φ) (CommSemiring.toCommMonoidWithZero.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u1, u2} σ R _inst_1) => S₂) φ) _inst_4)))))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval₂_hom_eq_zero MvPolynomial.eval₂Hom_eq_zeroₓ'. -/
 theorem eval₂Hom_eq_zero (f : R →+* S₂) (g : σ → S₂) (φ : MvPolynomial σ R)
     (h : ∀ d, φ.coeff d ≠ 0 → ∃ i ∈ d.support, g i = 0) : eval₂Hom f g φ = 0 :=
@@ -2851,7 +2851,7 @@ theorem aevalTower_X (i : σ) : aevalTower g y (X i) = y i :=
 lean 3 declaration is
   forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {S : Type.{u3}} {A : Type.{u4}} [_inst_3 : CommSemiring.{u3} S] [_inst_4 : CommSemiring.{u4} A] [_inst_6 : Algebra.{u3, u1} S R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_1)] [_inst_7 : Algebra.{u3, u4} S A _inst_3 (CommSemiring.toSemiring.{u4} A _inst_4)] (g : AlgHom.{u3, u1, u4} S R A _inst_3 (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u4} A _inst_4) _inst_6 _inst_7) (y : σ -> A) (x : R), Eq.{succ u4} A (coeFn.{max (succ (max u2 u1)) (succ u4), max (succ (max u2 u1)) (succ u4)} (AlgHom.{u3, max u2 u1, u4} S (MvPolynomial.{u2, u1} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u4} A _inst_4) (MvPolynomial.algebra.{u3, u1, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) (fun (_x : AlgHom.{u3, max u2 u1, u4} S (MvPolynomial.{u2, u1} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u4} A _inst_4) (MvPolynomial.algebra.{u3, u1, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) => (MvPolynomial.{u2, u1} σ R _inst_1) -> A) ([anonymous].{u3, max u2 u1, u4} S (MvPolynomial.{u2, u1} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u4} A _inst_4) (MvPolynomial.algebra.{u3, u1, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) (MvPolynomial.aevalTower.{u1, u2, u3, u4} R σ _inst_1 S A _inst_3 _inst_4 _inst_6 _inst_7 g y) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (fun (_x : RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (MvPolynomial.C.{u1, u2} R σ _inst_1) x)) (coeFn.{max (succ u1) (succ u4), max (succ u1) (succ u4)} (AlgHom.{u3, u1, u4} S R A _inst_3 (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u4} A _inst_4) _inst_6 _inst_7) (fun (_x : AlgHom.{u3, u1, u4} S R A _inst_3 (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u4} A _inst_4) _inst_6 _inst_7) => R -> A) ([anonymous].{u3, u1, u4} S R A _inst_3 (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u4} A _inst_4) _inst_6 _inst_7) g x)
 but is expected to have type
-  forall {R : Type.{u4}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u4} R] {S : Type.{u1}} {A : Type.{u3}} [_inst_3 : CommSemiring.{u1} S] [_inst_4 : CommSemiring.{u3} A] [_inst_6 : Algebra.{u1, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1)] [_inst_7 : Algebra.{u1, u3} S A _inst_3 (CommSemiring.toSemiring.{u3} A _inst_4)] (g : AlgHom.{u1, u4, u3} S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7) (y : σ -> A) (x : R), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u2, u4} σ R _inst_1) => A) (FunLike.coe.{max (succ u2) (succ u4), succ u4, max (succ u2) (succ u4)} (RingHom.{u4, max u4 u2} R (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))) R (fun (a : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u2, u4} σ R _inst_1) a) (MulHomClass.toFunLike.{max u2 u4, u4, max u2 u4} (RingHom.{u4, max u4 u2} R (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))) R (MvPolynomial.{u2, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u2 u4} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u4} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u4, u4, max u2 u4} (RingHom.{u4, max u4 u2} R (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))) R (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u4} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u4, u4, max u2 u4} (RingHom.{u4, max u4 u2} R (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))) R (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u4, max u2 u4} R (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))))) (MvPolynomial.C.{u4, u2} R σ _inst_1) x)) (FunLike.coe.{max (max (succ u4) (succ u2)) (succ u3), max (succ u4) (succ u2), succ u3} (AlgHom.{u1, max u4 u2, u3} S (MvPolynomial.{u2, u4} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u3} A _inst_4) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) (MvPolynomial.{u2, u4} σ R _inst_1) (fun (_x : MvPolynomial.{u2, u4} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u2, u4} σ R _inst_1) => A) _x) (SMulHomClass.toFunLike.{max (max u4 u2) u3, u1, max u4 u2, u3} (AlgHom.{u1, max u4 u2, u3} S (MvPolynomial.{u2, u4} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u3} A _inst_4) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) S (MvPolynomial.{u2, u4} σ R _inst_1) A (SMulZeroClass.toSMul.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (AddMonoid.toZero.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))))) (DistribSMul.toSMulZeroClass.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))))) (DistribMulAction.toDistribSMul.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (AddCommMonoid.toAddMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))))) (Module.toDistribMulAction.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))) (Algebra.toModule.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6)))))) (SMulZeroClass.toSMul.{u1, u3} S A (AddMonoid.toZero.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))))) (DistribSMul.toSMulZeroClass.{u1, u3} S A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))))) (DistribMulAction.toDistribSMul.{u1, u3} S A (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4))))) (Module.toDistribMulAction.{u1, u3} S A (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))) (Algebra.toModule.{u1, u3} S A _inst_3 (CommSemiring.toSemiring.{u3} A _inst_4) _inst_7))))) (DistribMulActionHomClass.toSMulHomClass.{max (max u4 u2) u3, u1, max u4 u2, u3} (AlgHom.{u1, max u4 u2, u3} S (MvPolynomial.{u2, u4} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u3} A _inst_4) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) S (MvPolynomial.{u2, u4} σ R _inst_1) A (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (AddCommMonoid.toAddMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))))) (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4))))) (Module.toDistribMulAction.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))) (Algebra.toModule.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6))) (Module.toDistribMulAction.{u1, u3} S A (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))) (Algebra.toModule.{u1, u3} S A _inst_3 (CommSemiring.toSemiring.{u3} A _inst_4) _inst_7)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max (max u4 u2) u3, u1, max u4 u2, u3} (AlgHom.{u1, max u4 u2, u3} S (MvPolynomial.{u2, u4} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u3} A _inst_4) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) S (MvPolynomial.{u2, u4} σ R _inst_1) A (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4))) (Module.toDistribMulAction.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))) (Algebra.toModule.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6))) (Module.toDistribMulAction.{u1, u3} S A (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))) (Algebra.toModule.{u1, u3} S A _inst_3 (CommSemiring.toSemiring.{u3} A _inst_4) _inst_7)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u1, max u4 u2, u3, max (max u4 u2) u3} S (MvPolynomial.{u2, u4} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u3} A _inst_4) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7 (AlgHom.{u1, max u4 u2, u3} S (MvPolynomial.{u2, u4} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u3} A _inst_4) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) (AlgHom.algHomClass.{u1, max u4 u2, u3} S (MvPolynomial.{u2, u4} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u3} A _inst_4) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7))))) (MvPolynomial.aevalTower.{u4, u2, u1, u3} R σ _inst_1 S A _inst_3 _inst_4 _inst_6 _inst_7 g y) (FunLike.coe.{max (succ u2) (succ u4), succ u4, max (succ u2) (succ u4)} (RingHom.{u4, max u4 u2} R (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u2, u4} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u2 u4, u4, max u2 u4} (RingHom.{u4, max u4 u2} R (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))) R (MvPolynomial.{u2, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u2 u4} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u4} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u4, u4, max u2 u4} (RingHom.{u4, max u4 u2} R (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))) R (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u4} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u4, u4, max u2 u4} (RingHom.{u4, max u4 u2} R (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))) R (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u4, max u2 u4} R (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))))) (MvPolynomial.C.{u4, u2} R σ _inst_1) x)) (FunLike.coe.{max (succ u4) (succ u3), succ u4, succ u3} (AlgHom.{u1, u4, u3} S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : R) => A) _x) (SMulHomClass.toFunLike.{max u4 u3, u1, u4, u3} (AlgHom.{u1, u4, u3} S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7) S R A (SMulZeroClass.toSMul.{u1, u4} S R (AddMonoid.toZero.{u4} R (AddCommMonoid.toAddMonoid.{u4} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))))) (DistribSMul.toSMulZeroClass.{u1, u4} S R (AddMonoid.toAddZeroClass.{u4} R (AddCommMonoid.toAddMonoid.{u4} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))))) (DistribMulAction.toDistribSMul.{u1, u4} S R (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (AddCommMonoid.toAddMonoid.{u4} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))))) (Module.toDistribMulAction.{u1, u4} S R (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (Algebra.toModule.{u1, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) _inst_6))))) (SMulZeroClass.toSMul.{u1, u3} S A (AddMonoid.toZero.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))))) (DistribSMul.toSMulZeroClass.{u1, u3} S A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))))) (DistribMulAction.toDistribSMul.{u1, u3} S A (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4))))) (Module.toDistribMulAction.{u1, u3} S A (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))) (Algebra.toModule.{u1, u3} S A _inst_3 (CommSemiring.toSemiring.{u3} A _inst_4) _inst_7))))) (DistribMulActionHomClass.toSMulHomClass.{max u4 u3, u1, u4, u3} (AlgHom.{u1, u4, u3} S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7) S R A (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (AddCommMonoid.toAddMonoid.{u4} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))))) (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4))))) (Module.toDistribMulAction.{u1, u4} S R (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (Algebra.toModule.{u1, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) _inst_6)) (Module.toDistribMulAction.{u1, u3} S A (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))) (Algebra.toModule.{u1, u3} S A _inst_3 (CommSemiring.toSemiring.{u3} A _inst_4) _inst_7)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max u4 u3, u1, u4, u3} (AlgHom.{u1, u4, u3} S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7) S R A (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4))) (Module.toDistribMulAction.{u1, u4} S R (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (Algebra.toModule.{u1, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) _inst_6)) (Module.toDistribMulAction.{u1, u3} S A (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))) (Algebra.toModule.{u1, u3} S A _inst_3 (CommSemiring.toSemiring.{u3} A _inst_4) _inst_7)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u1, u4, u3, max u4 u3} S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7 (AlgHom.{u1, u4, u3} S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7) (AlgHom.algHomClass.{u1, u4, u3} S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7))))) g x)
+  forall {R : Type.{u4}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u4} R] {S : Type.{u1}} {A : Type.{u3}} [_inst_3 : CommSemiring.{u1} S] [_inst_4 : CommSemiring.{u3} A] [_inst_6 : Algebra.{u1, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1)] [_inst_7 : Algebra.{u1, u3} S A _inst_3 (CommSemiring.toSemiring.{u3} A _inst_4)] (g : AlgHom.{u1, u4, u3} S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7) (y : σ -> A) (x : R), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u2, u4} σ R _inst_1) => A) (FunLike.coe.{max (succ u2) (succ u4), succ u4, max (succ u2) (succ u4)} (RingHom.{u4, max u4 u2} R (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))) R (fun (a : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u2, u4} σ R _inst_1) a) (MulHomClass.toFunLike.{max u2 u4, u4, max u2 u4} (RingHom.{u4, max u4 u2} R (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))) R (MvPolynomial.{u2, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u2 u4} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u4} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u4, u4, max u2 u4} (RingHom.{u4, max u4 u2} R (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))) R (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u4} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u4, u4, max u2 u4} (RingHom.{u4, max u4 u2} R (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))) R (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u4, max u2 u4} R (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))))) (MvPolynomial.C.{u4, u2} R σ _inst_1) x)) (FunLike.coe.{max (max (succ u4) (succ u2)) (succ u3), max (succ u4) (succ u2), succ u3} (AlgHom.{u1, max u4 u2, u3} S (MvPolynomial.{u2, u4} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u3} A _inst_4) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) (MvPolynomial.{u2, u4} σ R _inst_1) (fun (_x : MvPolynomial.{u2, u4} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u2, u4} σ R _inst_1) => A) _x) (SMulHomClass.toFunLike.{max (max u4 u2) u3, u1, max u4 u2, u3} (AlgHom.{u1, max u4 u2, u3} S (MvPolynomial.{u2, u4} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u3} A _inst_4) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) S (MvPolynomial.{u2, u4} σ R _inst_1) A (SMulZeroClass.toSMul.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (AddMonoid.toZero.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))))) (DistribSMul.toSMulZeroClass.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))))) (DistribMulAction.toDistribSMul.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (AddCommMonoid.toAddMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))))) (Module.toDistribMulAction.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))) (Algebra.toModule.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6)))))) (SMulZeroClass.toSMul.{u1, u3} S A (AddMonoid.toZero.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))))) (DistribSMul.toSMulZeroClass.{u1, u3} S A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))))) (DistribMulAction.toDistribSMul.{u1, u3} S A (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4))))) (Module.toDistribMulAction.{u1, u3} S A (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))) (Algebra.toModule.{u1, u3} S A _inst_3 (CommSemiring.toSemiring.{u3} A _inst_4) _inst_7))))) (DistribMulActionHomClass.toSMulHomClass.{max (max u4 u2) u3, u1, max u4 u2, u3} (AlgHom.{u1, max u4 u2, u3} S (MvPolynomial.{u2, u4} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u3} A _inst_4) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) S (MvPolynomial.{u2, u4} σ R _inst_1) A (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (AddCommMonoid.toAddMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))))) (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4))))) (Module.toDistribMulAction.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))) (Algebra.toModule.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6))) (Module.toDistribMulAction.{u1, u3} S A (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))) (Algebra.toModule.{u1, u3} S A _inst_3 (CommSemiring.toSemiring.{u3} A _inst_4) _inst_7)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max (max u4 u2) u3, u1, max u4 u2, u3} (AlgHom.{u1, max u4 u2, u3} S (MvPolynomial.{u2, u4} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u3} A _inst_4) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) S (MvPolynomial.{u2, u4} σ R _inst_1) A (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4))) (Module.toDistribMulAction.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))) (Algebra.toModule.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6))) (Module.toDistribMulAction.{u1, u3} S A (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))) (Algebra.toModule.{u1, u3} S A _inst_3 (CommSemiring.toSemiring.{u3} A _inst_4) _inst_7)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u1, max u4 u2, u3, max (max u4 u2) u3} S (MvPolynomial.{u2, u4} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u3} A _inst_4) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7 (AlgHom.{u1, max u4 u2, u3} S (MvPolynomial.{u2, u4} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u3} A _inst_4) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) (AlgHom.algHomClass.{u1, max u4 u2, u3} S (MvPolynomial.{u2, u4} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u3} A _inst_4) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7))))) (MvPolynomial.aevalTower.{u4, u2, u1, u3} R σ _inst_1 S A _inst_3 _inst_4 _inst_6 _inst_7 g y) (FunLike.coe.{max (succ u2) (succ u4), succ u4, max (succ u2) (succ u4)} (RingHom.{u4, max u4 u2} R (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u2, u4} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u2 u4, u4, max u2 u4} (RingHom.{u4, max u4 u2} R (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))) R (MvPolynomial.{u2, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u2 u4} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u4} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u4, u4, max u2 u4} (RingHom.{u4, max u4 u2} R (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))) R (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u4} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u4, u4, max u2 u4} (RingHom.{u4, max u4 u2} R (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))) R (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u4, max u2 u4} R (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))))) (MvPolynomial.C.{u4, u2} R σ _inst_1) x)) (FunLike.coe.{max (succ u4) (succ u3), succ u4, succ u3} (AlgHom.{u1, u4, u3} S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : R) => A) _x) (SMulHomClass.toFunLike.{max u4 u3, u1, u4, u3} (AlgHom.{u1, u4, u3} S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7) S R A (SMulZeroClass.toSMul.{u1, u4} S R (AddMonoid.toZero.{u4} R (AddCommMonoid.toAddMonoid.{u4} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))))) (DistribSMul.toSMulZeroClass.{u1, u4} S R (AddMonoid.toAddZeroClass.{u4} R (AddCommMonoid.toAddMonoid.{u4} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))))) (DistribMulAction.toDistribSMul.{u1, u4} S R (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (AddCommMonoid.toAddMonoid.{u4} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))))) (Module.toDistribMulAction.{u1, u4} S R (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (Algebra.toModule.{u1, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) _inst_6))))) (SMulZeroClass.toSMul.{u1, u3} S A (AddMonoid.toZero.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))))) (DistribSMul.toSMulZeroClass.{u1, u3} S A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))))) (DistribMulAction.toDistribSMul.{u1, u3} S A (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4))))) (Module.toDistribMulAction.{u1, u3} S A (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))) (Algebra.toModule.{u1, u3} S A _inst_3 (CommSemiring.toSemiring.{u3} A _inst_4) _inst_7))))) (DistribMulActionHomClass.toSMulHomClass.{max u4 u3, u1, u4, u3} (AlgHom.{u1, u4, u3} S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7) S R A (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (AddCommMonoid.toAddMonoid.{u4} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))))) (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4))))) (Module.toDistribMulAction.{u1, u4} S R (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (Algebra.toModule.{u1, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) _inst_6)) (Module.toDistribMulAction.{u1, u3} S A (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))) (Algebra.toModule.{u1, u3} S A _inst_3 (CommSemiring.toSemiring.{u3} A _inst_4) _inst_7)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max u4 u3, u1, u4, u3} (AlgHom.{u1, u4, u3} S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7) S R A (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4))) (Module.toDistribMulAction.{u1, u4} S R (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (Algebra.toModule.{u1, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) _inst_6)) (Module.toDistribMulAction.{u1, u3} S A (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))) (Algebra.toModule.{u1, u3} S A _inst_3 (CommSemiring.toSemiring.{u3} A _inst_4) _inst_7)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u1, u4, u3, max u4 u3} S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7 (AlgHom.{u1, u4, u3} S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7) (AlgHom.algHomClass.{u1, u4, u3} S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7))))) g x)
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.aeval_tower_C MvPolynomial.aevalTower_Cₓ'. -/
 @[simp]
 theorem aevalTower_C (x : R) : aevalTower g y (C x) = g x :=
@@ -2873,7 +2873,7 @@ theorem aevalTower_comp_C : (aevalTower g y : MvPolynomial σ R →+* A).comp C
 lean 3 declaration is
   forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {S : Type.{u3}} {A : Type.{u4}} [_inst_3 : CommSemiring.{u3} S] [_inst_4 : CommSemiring.{u4} A] [_inst_6 : Algebra.{u3, u1} S R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_1)] [_inst_7 : Algebra.{u3, u4} S A _inst_3 (CommSemiring.toSemiring.{u4} A _inst_4)] (g : AlgHom.{u3, u1, u4} S R A _inst_3 (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u4} A _inst_4) _inst_6 _inst_7) (y : σ -> A) (x : R), Eq.{succ u4} A (coeFn.{max (succ (max u2 u1)) (succ u4), max (succ (max u2 u1)) (succ u4)} (AlgHom.{u3, max u2 u1, u4} S (MvPolynomial.{u2, u1} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u4} A _inst_4) (MvPolynomial.algebra.{u3, u1, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) (fun (_x : AlgHom.{u3, max u2 u1, u4} S (MvPolynomial.{u2, u1} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u4} A _inst_4) (MvPolynomial.algebra.{u3, u1, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) => (MvPolynomial.{u2, u1} σ R _inst_1) -> A) ([anonymous].{u3, max u2 u1, u4} S (MvPolynomial.{u2, u1} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u4} A _inst_4) (MvPolynomial.algebra.{u3, u1, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) (MvPolynomial.aevalTower.{u1, u2, u3, u4} R σ _inst_1 S A _inst_3 _inst_4 _inst_6 _inst_7 g y) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (fun (_x : RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (algebraMap.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1))) x)) (coeFn.{max (succ u1) (succ u4), max (succ u1) (succ u4)} (AlgHom.{u3, u1, u4} S R A _inst_3 (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u4} A _inst_4) _inst_6 _inst_7) (fun (_x : AlgHom.{u3, u1, u4} S R A _inst_3 (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u4} A _inst_4) _inst_6 _inst_7) => R -> A) ([anonymous].{u3, u1, u4} S R A _inst_3 (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u4} A _inst_4) _inst_6 _inst_7) g x)
 but is expected to have type
-  forall {R : Type.{u4}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u4} R] {S : Type.{u1}} {A : Type.{u3}} [_inst_3 : CommSemiring.{u1} S] [_inst_4 : CommSemiring.{u3} A] [_inst_6 : Algebra.{u1, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1)] [_inst_7 : Algebra.{u1, u3} S A _inst_3 (CommSemiring.toSemiring.{u3} A _inst_4)] (g : AlgHom.{u1, u4, u3} S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7) (y : σ -> A) (x : R), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u2, u4} σ R _inst_1) => A) (FunLike.coe.{max (succ u4) (succ u2), succ u4, max (succ u4) (succ u2)} (RingHom.{u4, max u4 u2} R (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))) R (fun (a : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u2, u4} σ R _inst_1) a) (MulHomClass.toFunLike.{max u4 u2, u4, max u4 u2} (RingHom.{u4, max u4 u2} R (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))) R (MvPolynomial.{u2, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u4 u2, u4, max u4 u2} (RingHom.{u4, max u4 u2} R (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))) R (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u4 u2, u4, max u4 u2} (RingHom.{u4, max u4 u2} R (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))) R (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u4, max u4 u2} R (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))))) (algebraMap.{u4, max u4 u2} R (MvPolynomial.{u2, u4} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (MvPolynomial.algebra.{u4, u4, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u4} R _inst_1))) x)) (FunLike.coe.{max (max (succ u4) (succ u2)) (succ u3), max (succ u4) (succ u2), succ u3} (AlgHom.{u1, max u4 u2, u3} S (MvPolynomial.{u2, u4} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u3} A _inst_4) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) (MvPolynomial.{u2, u4} σ R _inst_1) (fun (_x : MvPolynomial.{u2, u4} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u2, u4} σ R _inst_1) => A) _x) (SMulHomClass.toFunLike.{max (max u4 u2) u3, u1, max u4 u2, u3} (AlgHom.{u1, max u4 u2, u3} S (MvPolynomial.{u2, u4} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u3} A _inst_4) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) S (MvPolynomial.{u2, u4} σ R _inst_1) A (SMulZeroClass.toSMul.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (AddMonoid.toZero.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))))) (DistribSMul.toSMulZeroClass.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))))) (DistribMulAction.toDistribSMul.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (AddCommMonoid.toAddMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))))) (Module.toDistribMulAction.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))) (Algebra.toModule.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6)))))) (SMulZeroClass.toSMul.{u1, u3} S A (AddMonoid.toZero.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))))) (DistribSMul.toSMulZeroClass.{u1, u3} S A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))))) (DistribMulAction.toDistribSMul.{u1, u3} S A (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4))))) (Module.toDistribMulAction.{u1, u3} S A (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))) (Algebra.toModule.{u1, u3} S A _inst_3 (CommSemiring.toSemiring.{u3} A _inst_4) _inst_7))))) (DistribMulActionHomClass.toSMulHomClass.{max (max u4 u2) u3, u1, max u4 u2, u3} (AlgHom.{u1, max u4 u2, u3} S (MvPolynomial.{u2, u4} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u3} A _inst_4) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) S (MvPolynomial.{u2, u4} σ R _inst_1) A (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (AddCommMonoid.toAddMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))))) (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4))))) (Module.toDistribMulAction.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))) (Algebra.toModule.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6))) (Module.toDistribMulAction.{u1, u3} S A (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))) (Algebra.toModule.{u1, u3} S A _inst_3 (CommSemiring.toSemiring.{u3} A _inst_4) _inst_7)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max (max u4 u2) u3, u1, max u4 u2, u3} (AlgHom.{u1, max u4 u2, u3} S (MvPolynomial.{u2, u4} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u3} A _inst_4) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) S (MvPolynomial.{u2, u4} σ R _inst_1) A (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4))) (Module.toDistribMulAction.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))) (Algebra.toModule.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6))) (Module.toDistribMulAction.{u1, u3} S A (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))) (Algebra.toModule.{u1, u3} S A _inst_3 (CommSemiring.toSemiring.{u3} A _inst_4) _inst_7)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u1, max u4 u2, u3, max (max u4 u2) u3} S (MvPolynomial.{u2, u4} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u3} A _inst_4) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7 (AlgHom.{u1, max u4 u2, u3} S (MvPolynomial.{u2, u4} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u3} A _inst_4) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) (AlgHom.algHomClass.{u1, max u4 u2, u3} S (MvPolynomial.{u2, u4} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u3} A _inst_4) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7))))) (MvPolynomial.aevalTower.{u4, u2, u1, u3} R σ _inst_1 S A _inst_3 _inst_4 _inst_6 _inst_7 g y) (FunLike.coe.{max (succ u4) (succ u2), succ u4, max (succ u4) (succ u2)} (RingHom.{u4, max u4 u2} R (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u2, u4} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u4 u2, u4, max u4 u2} (RingHom.{u4, max u4 u2} R (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))) R (MvPolynomial.{u2, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u4 u2, u4, max u4 u2} (RingHom.{u4, max u4 u2} R (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))) R (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u4 u2, u4, max u4 u2} (RingHom.{u4, max u4 u2} R (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))) R (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u4, max u4 u2} R (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))))) (algebraMap.{u4, max u4 u2} R (MvPolynomial.{u2, u4} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (MvPolynomial.algebra.{u4, u4, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u4} R _inst_1))) x)) (FunLike.coe.{max (succ u4) (succ u3), succ u4, succ u3} (AlgHom.{u1, u4, u3} S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : R) => A) _x) (SMulHomClass.toFunLike.{max u4 u3, u1, u4, u3} (AlgHom.{u1, u4, u3} S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7) S R A (SMulZeroClass.toSMul.{u1, u4} S R (AddMonoid.toZero.{u4} R (AddCommMonoid.toAddMonoid.{u4} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))))) (DistribSMul.toSMulZeroClass.{u1, u4} S R (AddMonoid.toAddZeroClass.{u4} R (AddCommMonoid.toAddMonoid.{u4} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))))) (DistribMulAction.toDistribSMul.{u1, u4} S R (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (AddCommMonoid.toAddMonoid.{u4} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))))) (Module.toDistribMulAction.{u1, u4} S R (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (Algebra.toModule.{u1, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) _inst_6))))) (SMulZeroClass.toSMul.{u1, u3} S A (AddMonoid.toZero.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))))) (DistribSMul.toSMulZeroClass.{u1, u3} S A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))))) (DistribMulAction.toDistribSMul.{u1, u3} S A (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4))))) (Module.toDistribMulAction.{u1, u3} S A (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))) (Algebra.toModule.{u1, u3} S A _inst_3 (CommSemiring.toSemiring.{u3} A _inst_4) _inst_7))))) (DistribMulActionHomClass.toSMulHomClass.{max u4 u3, u1, u4, u3} (AlgHom.{u1, u4, u3} S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7) S R A (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (AddCommMonoid.toAddMonoid.{u4} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))))) (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4))))) (Module.toDistribMulAction.{u1, u4} S R (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (Algebra.toModule.{u1, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) _inst_6)) (Module.toDistribMulAction.{u1, u3} S A (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))) (Algebra.toModule.{u1, u3} S A _inst_3 (CommSemiring.toSemiring.{u3} A _inst_4) _inst_7)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max u4 u3, u1, u4, u3} (AlgHom.{u1, u4, u3} S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7) S R A (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4))) (Module.toDistribMulAction.{u1, u4} S R (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (Algebra.toModule.{u1, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) _inst_6)) (Module.toDistribMulAction.{u1, u3} S A (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))) (Algebra.toModule.{u1, u3} S A _inst_3 (CommSemiring.toSemiring.{u3} A _inst_4) _inst_7)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u1, u4, u3, max u4 u3} S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7 (AlgHom.{u1, u4, u3} S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7) (AlgHom.algHomClass.{u1, u4, u3} S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7))))) g x)
+  forall {R : Type.{u4}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u4} R] {S : Type.{u1}} {A : Type.{u3}} [_inst_3 : CommSemiring.{u1} S] [_inst_4 : CommSemiring.{u3} A] [_inst_6 : Algebra.{u1, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1)] [_inst_7 : Algebra.{u1, u3} S A _inst_3 (CommSemiring.toSemiring.{u3} A _inst_4)] (g : AlgHom.{u1, u4, u3} S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7) (y : σ -> A) (x : R), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u2, u4} σ R _inst_1) => A) (FunLike.coe.{max (succ u4) (succ u2), succ u4, max (succ u4) (succ u2)} (RingHom.{u4, max u4 u2} R (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))) R (fun (a : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u2, u4} σ R _inst_1) a) (MulHomClass.toFunLike.{max u4 u2, u4, max u4 u2} (RingHom.{u4, max u4 u2} R (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))) R (MvPolynomial.{u2, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u4 u2, u4, max u4 u2} (RingHom.{u4, max u4 u2} R (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))) R (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u4 u2, u4, max u4 u2} (RingHom.{u4, max u4 u2} R (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))) R (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u4, max u4 u2} R (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))))) (algebraMap.{u4, max u4 u2} R (MvPolynomial.{u2, u4} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (MvPolynomial.algebra.{u4, u4, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u4} R _inst_1))) x)) (FunLike.coe.{max (max (succ u4) (succ u2)) (succ u3), max (succ u4) (succ u2), succ u3} (AlgHom.{u1, max u4 u2, u3} S (MvPolynomial.{u2, u4} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u3} A _inst_4) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) (MvPolynomial.{u2, u4} σ R _inst_1) (fun (_x : MvPolynomial.{u2, u4} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u2, u4} σ R _inst_1) => A) _x) (SMulHomClass.toFunLike.{max (max u4 u2) u3, u1, max u4 u2, u3} (AlgHom.{u1, max u4 u2, u3} S (MvPolynomial.{u2, u4} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u3} A _inst_4) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) S (MvPolynomial.{u2, u4} σ R _inst_1) A (SMulZeroClass.toSMul.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (AddMonoid.toZero.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))))) (DistribSMul.toSMulZeroClass.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))))) (DistribMulAction.toDistribSMul.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (AddCommMonoid.toAddMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))))) (Module.toDistribMulAction.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))) (Algebra.toModule.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6)))))) (SMulZeroClass.toSMul.{u1, u3} S A (AddMonoid.toZero.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))))) (DistribSMul.toSMulZeroClass.{u1, u3} S A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))))) (DistribMulAction.toDistribSMul.{u1, u3} S A (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4))))) (Module.toDistribMulAction.{u1, u3} S A (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))) (Algebra.toModule.{u1, u3} S A _inst_3 (CommSemiring.toSemiring.{u3} A _inst_4) _inst_7))))) (DistribMulActionHomClass.toSMulHomClass.{max (max u4 u2) u3, u1, max u4 u2, u3} (AlgHom.{u1, max u4 u2, u3} S (MvPolynomial.{u2, u4} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u3} A _inst_4) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) S (MvPolynomial.{u2, u4} σ R _inst_1) A (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (AddCommMonoid.toAddMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))))) (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4))))) (Module.toDistribMulAction.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))) (Algebra.toModule.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6))) (Module.toDistribMulAction.{u1, u3} S A (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))) (Algebra.toModule.{u1, u3} S A _inst_3 (CommSemiring.toSemiring.{u3} A _inst_4) _inst_7)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max (max u4 u2) u3, u1, max u4 u2, u3} (AlgHom.{u1, max u4 u2, u3} S (MvPolynomial.{u2, u4} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u3} A _inst_4) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) S (MvPolynomial.{u2, u4} σ R _inst_1) A (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4))) (Module.toDistribMulAction.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))) (Algebra.toModule.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6))) (Module.toDistribMulAction.{u1, u3} S A (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))) (Algebra.toModule.{u1, u3} S A _inst_3 (CommSemiring.toSemiring.{u3} A _inst_4) _inst_7)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u1, max u4 u2, u3, max (max u4 u2) u3} S (MvPolynomial.{u2, u4} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u3} A _inst_4) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7 (AlgHom.{u1, max u4 u2, u3} S (MvPolynomial.{u2, u4} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u3} A _inst_4) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) (AlgHom.algHomClass.{u1, max u4 u2, u3} S (MvPolynomial.{u2, u4} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u3} A _inst_4) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7))))) (MvPolynomial.aevalTower.{u4, u2, u1, u3} R σ _inst_1 S A _inst_3 _inst_4 _inst_6 _inst_7 g y) (FunLike.coe.{max (succ u4) (succ u2), succ u4, max (succ u4) (succ u2)} (RingHom.{u4, max u4 u2} R (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MvPolynomial.{u2, u4} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u4 u2, u4, max u4 u2} (RingHom.{u4, max u4 u2} R (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))) R (MvPolynomial.{u2, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u4 u2, u4, max u4 u2} (RingHom.{u4, max u4 u2} R (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))) R (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u4 u2, u4, max u4 u2} (RingHom.{u4, max u4 u2} R (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))) R (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u4, max u4 u2} R (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))))) (algebraMap.{u4, max u4 u2} R (MvPolynomial.{u2, u4} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (MvPolynomial.algebra.{u4, u4, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u4} R _inst_1))) x)) (FunLike.coe.{max (succ u4) (succ u3), succ u4, succ u3} (AlgHom.{u1, u4, u3} S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : R) => A) _x) (SMulHomClass.toFunLike.{max u4 u3, u1, u4, u3} (AlgHom.{u1, u4, u3} S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7) S R A (SMulZeroClass.toSMul.{u1, u4} S R (AddMonoid.toZero.{u4} R (AddCommMonoid.toAddMonoid.{u4} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))))) (DistribSMul.toSMulZeroClass.{u1, u4} S R (AddMonoid.toAddZeroClass.{u4} R (AddCommMonoid.toAddMonoid.{u4} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))))) (DistribMulAction.toDistribSMul.{u1, u4} S R (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (AddCommMonoid.toAddMonoid.{u4} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))))) (Module.toDistribMulAction.{u1, u4} S R (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (Algebra.toModule.{u1, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) _inst_6))))) (SMulZeroClass.toSMul.{u1, u3} S A (AddMonoid.toZero.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))))) (DistribSMul.toSMulZeroClass.{u1, u3} S A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))))) (DistribMulAction.toDistribSMul.{u1, u3} S A (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4))))) (Module.toDistribMulAction.{u1, u3} S A (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))) (Algebra.toModule.{u1, u3} S A _inst_3 (CommSemiring.toSemiring.{u3} A _inst_4) _inst_7))))) (DistribMulActionHomClass.toSMulHomClass.{max u4 u3, u1, u4, u3} (AlgHom.{u1, u4, u3} S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7) S R A (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (AddCommMonoid.toAddMonoid.{u4} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))))) (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4))))) (Module.toDistribMulAction.{u1, u4} S R (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (Algebra.toModule.{u1, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) _inst_6)) (Module.toDistribMulAction.{u1, u3} S A (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))) (Algebra.toModule.{u1, u3} S A _inst_3 (CommSemiring.toSemiring.{u3} A _inst_4) _inst_7)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max u4 u3, u1, u4, u3} (AlgHom.{u1, u4, u3} S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7) S R A (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4))) (Module.toDistribMulAction.{u1, u4} S R (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (Algebra.toModule.{u1, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) _inst_6)) (Module.toDistribMulAction.{u1, u3} S A (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))) (Algebra.toModule.{u1, u3} S A _inst_3 (CommSemiring.toSemiring.{u3} A _inst_4) _inst_7)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u1, u4, u3, max u4 u3} S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7 (AlgHom.{u1, u4, u3} S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7) (AlgHom.algHomClass.{u1, u4, u3} S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7))))) g x)
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.aeval_tower_algebra_map MvPolynomial.aevalTower_algebraMapₓ'. -/
 @[simp]
 theorem aevalTower_algebraMap (x : R) : aevalTower g y (algebraMap R (MvPolynomial σ R) x) = g x :=
@@ -2952,7 +2952,7 @@ variable {S subS : Type _} [CommSemiring S] [SetLike subS S] [SubsemiringClass s
 lean 3 declaration is
   forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {S : Type.{u3}} {subS : Type.{u4}} [_inst_3 : CommSemiring.{u3} S] [_inst_4 : SetLike.{u4, u3} subS S] [_inst_5 : SubsemiringClass.{u3, u4} subS S (Semiring.toNonAssocSemiring.{u3} S (CommSemiring.toSemiring.{u3} S _inst_3)) _inst_4] {f : RingHom.{u1, u3} R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S (CommSemiring.toSemiring.{u3} S _inst_3))} {p : MvPolynomial.{u2, u1} σ R _inst_1} {s : subS}, (forall (i : Finsupp.{u2, 0} σ Nat Nat.hasZero), (Membership.Mem.{u2, u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finset.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (Finset.hasMem.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) i (MvPolynomial.support.{u1, u2} R σ _inst_1 p)) -> (Membership.Mem.{u3, u4} S subS (SetLike.hasMem.{u4, u3} subS S _inst_4) (coeFn.{max (succ u1) (succ u3), max (succ u1) (succ u3)} (RingHom.{u1, u3} R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S (CommSemiring.toSemiring.{u3} S _inst_3))) (fun (_x : RingHom.{u1, u3} R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S (CommSemiring.toSemiring.{u3} S _inst_3))) => R -> S) (RingHom.hasCoeToFun.{u1, u3} R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S (CommSemiring.toSemiring.{u3} S _inst_3))) f (MvPolynomial.coeff.{u1, u2} R σ _inst_1 i p)) s)) -> (forall {v : σ -> S}, (forall (i : σ), Membership.Mem.{u3, u4} S subS (SetLike.hasMem.{u4, u3} subS S _inst_4) (v i) s) -> (Membership.Mem.{u3, u4} S subS (SetLike.hasMem.{u4, u3} subS S _inst_4) (MvPolynomial.eval₂.{u1, u3, u2} R S σ _inst_1 _inst_3 f v p) s))
 but is expected to have type
-  forall {R : Type.{u4}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u4} R] {S : Type.{u3}} {subS : Type.{u1}} [_inst_3 : CommSemiring.{u3} S] [_inst_4 : SetLike.{u1, u3} subS S] [_inst_5 : SubsemiringClass.{u3, u1} subS S (Semiring.toNonAssocSemiring.{u3} S (CommSemiring.toSemiring.{u3} S _inst_3)) _inst_4] {f : RingHom.{u4, u3} R S (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S (CommSemiring.toSemiring.{u3} S _inst_3))} {p : MvPolynomial.{u2, u4} σ R _inst_1} {s : subS}, (forall (i : Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)), (Membership.mem.{u2, u2} (Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finset.{u2} (Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (Finset.instMembershipFinset.{u2} (Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) i (MvPolynomial.support.{u4, u2} R σ _inst_1 p)) -> (Membership.mem.{u3, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S) (MvPolynomial.coeff.{u4, u2} R σ _inst_1 i p)) subS (SetLike.instMembership.{u1, u3} subS S _inst_4) (FunLike.coe.{max (succ u4) (succ u3), succ u4, succ u3} (RingHom.{u4, u3} R S (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S (CommSemiring.toSemiring.{u3} S _inst_3))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S) _x) (MulHomClass.toFunLike.{max u4 u3, u4, u3} (RingHom.{u4, u3} R S (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S (CommSemiring.toSemiring.{u3} S _inst_3))) R S (NonUnitalNonAssocSemiring.toMul.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S (Semiring.toNonAssocSemiring.{u3} S (CommSemiring.toSemiring.{u3} S _inst_3)))) (NonUnitalRingHomClass.toMulHomClass.{max u4 u3, u4, u3} (RingHom.{u4, u3} R S (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S (CommSemiring.toSemiring.{u3} S _inst_3))) R S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S (Semiring.toNonAssocSemiring.{u3} S (CommSemiring.toSemiring.{u3} S _inst_3))) (RingHomClass.toNonUnitalRingHomClass.{max u4 u3, u4, u3} (RingHom.{u4, u3} R S (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S (CommSemiring.toSemiring.{u3} S _inst_3))) R S (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S (CommSemiring.toSemiring.{u3} S _inst_3)) (RingHom.instRingHomClassRingHom.{u4, u3} R S (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S (CommSemiring.toSemiring.{u3} S _inst_3)))))) f (MvPolynomial.coeff.{u4, u2} R σ _inst_1 i p)) s)) -> (forall {v : σ -> S}, (forall (i : σ), Membership.mem.{u3, u1} S subS (SetLike.instMembership.{u1, u3} subS S _inst_4) (v i) s) -> (Membership.mem.{u3, u1} S subS (SetLike.instMembership.{u1, u3} subS S _inst_4) (MvPolynomial.eval₂.{u4, u3, u2} R S σ _inst_1 _inst_3 f v p) s))
+  forall {R : Type.{u4}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u4} R] {S : Type.{u3}} {subS : Type.{u1}} [_inst_3 : CommSemiring.{u3} S] [_inst_4 : SetLike.{u1, u3} subS S] [_inst_5 : SubsemiringClass.{u3, u1} subS S (Semiring.toNonAssocSemiring.{u3} S (CommSemiring.toSemiring.{u3} S _inst_3)) _inst_4] {f : RingHom.{u4, u3} R S (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S (CommSemiring.toSemiring.{u3} S _inst_3))} {p : MvPolynomial.{u2, u4} σ R _inst_1} {s : subS}, (forall (i : Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)), (Membership.mem.{u2, u2} (Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finset.{u2} (Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (Finset.instMembershipFinset.{u2} (Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) i (MvPolynomial.support.{u4, u2} R σ _inst_1 p)) -> (Membership.mem.{u3, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S) (MvPolynomial.coeff.{u4, u2} R σ _inst_1 i p)) subS (SetLike.instMembership.{u1, u3} subS S _inst_4) (FunLike.coe.{max (succ u4) (succ u3), succ u4, succ u3} (RingHom.{u4, u3} R S (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S (CommSemiring.toSemiring.{u3} S _inst_3))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S) _x) (MulHomClass.toFunLike.{max u4 u3, u4, u3} (RingHom.{u4, u3} R S (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S (CommSemiring.toSemiring.{u3} S _inst_3))) R S (NonUnitalNonAssocSemiring.toMul.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S (Semiring.toNonAssocSemiring.{u3} S (CommSemiring.toSemiring.{u3} S _inst_3)))) (NonUnitalRingHomClass.toMulHomClass.{max u4 u3, u4, u3} (RingHom.{u4, u3} R S (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S (CommSemiring.toSemiring.{u3} S _inst_3))) R S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S (Semiring.toNonAssocSemiring.{u3} S (CommSemiring.toSemiring.{u3} S _inst_3))) (RingHomClass.toNonUnitalRingHomClass.{max u4 u3, u4, u3} (RingHom.{u4, u3} R S (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S (CommSemiring.toSemiring.{u3} S _inst_3))) R S (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S (CommSemiring.toSemiring.{u3} S _inst_3)) (RingHom.instRingHomClassRingHom.{u4, u3} R S (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S (CommSemiring.toSemiring.{u3} S _inst_3)))))) f (MvPolynomial.coeff.{u4, u2} R σ _inst_1 i p)) s)) -> (forall {v : σ -> S}, (forall (i : σ), Membership.mem.{u3, u1} S subS (SetLike.instMembership.{u1, u3} subS S _inst_4) (v i) s) -> (Membership.mem.{u3, u1} S subS (SetLike.instMembership.{u1, u3} subS S _inst_4) (MvPolynomial.eval₂.{u4, u3, u2} R S σ _inst_1 _inst_3 f v p) s))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval₂_mem MvPolynomial.eval₂_memₓ'. -/
 theorem eval₂_mem {f : R →+* S} {p : MvPolynomial σ R} {s : subS}
     (hs : ∀ i ∈ p.support, f (p.coeff i) ∈ s) {v : σ → S} (hv : ∀ i, v i ∈ s) :
@@ -2984,7 +2984,7 @@ theorem eval₂_mem {f : R →+* S} {p : MvPolynomial σ R} {s : subS}
 lean 3 declaration is
   forall {σ : Type.{u1}} {S : Type.{u2}} {subS : Type.{u3}} [_inst_3 : CommSemiring.{u2} S] [_inst_4 : SetLike.{u3, u2} subS S] [_inst_5 : SubsemiringClass.{u2, u3} subS S (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_3)) _inst_4] {p : MvPolynomial.{u1, u2} σ S _inst_3} {s : subS}, (forall (i : Finsupp.{u1, 0} σ Nat Nat.hasZero), (Membership.Mem.{u1, u1} (Finsupp.{u1, 0} σ Nat Nat.hasZero) (Finset.{u1} (Finsupp.{u1, 0} σ Nat Nat.hasZero)) (Finset.hasMem.{u1} (Finsupp.{u1, 0} σ Nat Nat.hasZero)) i (MvPolynomial.support.{u2, u1} S σ _inst_3 p)) -> (Membership.Mem.{u2, u3} S subS (SetLike.hasMem.{u3, u2} subS S _inst_4) (MvPolynomial.coeff.{u2, u1} S σ _inst_3 i p) s)) -> (forall {v : σ -> S}, (forall (i : σ), Membership.Mem.{u2, u3} S subS (SetLike.hasMem.{u3, u2} subS S _inst_4) (v i) s) -> (Membership.Mem.{u2, u3} S subS (SetLike.hasMem.{u3, u2} subS S _inst_4) (coeFn.{max (succ (max u1 u2)) (succ u2), max (succ (max u1 u2)) (succ u2)} (RingHom.{max u1 u2, u2} (MvPolynomial.{u1, u2} σ S _inst_3) S (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ S _inst_3) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ S _inst_3) (MvPolynomial.commSemiring.{u2, u1} S σ _inst_3))) (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_3))) (fun (_x : RingHom.{max u1 u2, u2} (MvPolynomial.{u1, u2} σ S _inst_3) S (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ S _inst_3) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ S _inst_3) (MvPolynomial.commSemiring.{u2, u1} S σ _inst_3))) (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_3))) => (MvPolynomial.{u1, u2} σ S _inst_3) -> S) (RingHom.hasCoeToFun.{max u1 u2, u2} (MvPolynomial.{u1, u2} σ S _inst_3) S (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ S _inst_3) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ S _inst_3) (MvPolynomial.commSemiring.{u2, u1} S σ _inst_3))) (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_3))) (MvPolynomial.eval.{u2, u1} S σ _inst_3 v) p) s))
 but is expected to have type
-  forall {σ : Type.{u3}} {S : Type.{u2}} {subS : Type.{u1}} [_inst_3 : CommSemiring.{u2} S] [_inst_4 : SetLike.{u1, u2} subS S] [_inst_5 : SubsemiringClass.{u2, u1} subS S (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_3)) _inst_4] {p : MvPolynomial.{u3, u2} σ S _inst_3} {s : subS}, (forall (i : Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)), (Membership.mem.{u3, u3} (Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finset.{u3} (Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (Finset.instMembershipFinset.{u3} (Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) i (MvPolynomial.support.{u2, u3} S σ _inst_3 p)) -> (Membership.mem.{u2, u1} S subS (SetLike.instMembership.{u1, u2} subS S _inst_4) (MvPolynomial.coeff.{u2, u3} S σ _inst_3 i p) s)) -> (forall {v : σ -> S}, (forall (i : σ), Membership.mem.{u2, u1} S subS (SetLike.instMembership.{u1, u2} subS S _inst_4) (v i) s) -> (Membership.mem.{u2, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u3, u2} σ S _inst_3) => S) p) subS (SetLike.instMembership.{u1, u2} subS S _inst_4) (FunLike.coe.{max (succ u3) (succ u2), max (succ u3) (succ u2), succ u2} (RingHom.{max u2 u3, u2} (MvPolynomial.{u3, u2} σ S _inst_3) S (Semiring.toNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} σ S _inst_3) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u3, u2} σ S _inst_3) (MvPolynomial.commSemiring.{u2, u3} S σ _inst_3))) (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_3))) (MvPolynomial.{u3, u2} σ S _inst_3) (fun (_x : MvPolynomial.{u3, u2} σ S _inst_3) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u3, u2} σ S _inst_3) => S) _x) (MulHomClass.toFunLike.{max u3 u2, max u3 u2, u2} (RingHom.{max u2 u3, u2} (MvPolynomial.{u3, u2} σ S _inst_3) S (Semiring.toNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} σ S _inst_3) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u3, u2} σ S _inst_3) (MvPolynomial.commSemiring.{u2, u3} S σ _inst_3))) (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_3))) (MvPolynomial.{u3, u2} σ S _inst_3) S (NonUnitalNonAssocSemiring.toMul.{max u3 u2} (MvPolynomial.{u3, u2} σ S _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S _inst_3) (Semiring.toNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} σ S _inst_3) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u3, u2} σ S _inst_3) (MvPolynomial.commSemiring.{u2, u3} S σ _inst_3))))) (NonUnitalNonAssocSemiring.toMul.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_3)))) (NonUnitalRingHomClass.toMulHomClass.{max u3 u2, max u3 u2, u2} (RingHom.{max u2 u3, u2} (MvPolynomial.{u3, u2} σ S _inst_3) S (Semiring.toNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} σ S _inst_3) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u3, u2} σ S _inst_3) (MvPolynomial.commSemiring.{u2, u3} S σ _inst_3))) (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_3))) (MvPolynomial.{u3, u2} σ S _inst_3) S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S _inst_3) (Semiring.toNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} σ S _inst_3) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u3, u2} σ S _inst_3) (MvPolynomial.commSemiring.{u2, u3} S σ _inst_3)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_3))) (RingHomClass.toNonUnitalRingHomClass.{max u3 u2, max u3 u2, u2} (RingHom.{max u2 u3, u2} (MvPolynomial.{u3, u2} σ S _inst_3) S (Semiring.toNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} σ S _inst_3) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u3, u2} σ S _inst_3) (MvPolynomial.commSemiring.{u2, u3} S σ _inst_3))) (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_3))) (MvPolynomial.{u3, u2} σ S _inst_3) S (Semiring.toNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} σ S _inst_3) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u3, u2} σ S _inst_3) (MvPolynomial.commSemiring.{u2, u3} S σ _inst_3))) (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_3)) (RingHom.instRingHomClassRingHom.{max u3 u2, u2} (MvPolynomial.{u3, u2} σ S _inst_3) S (Semiring.toNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} σ S _inst_3) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u3, u2} σ S _inst_3) (MvPolynomial.commSemiring.{u2, u3} S σ _inst_3))) (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_3)))))) (MvPolynomial.eval.{u2, u3} S σ _inst_3 v) p) s))
+  forall {σ : Type.{u3}} {S : Type.{u2}} {subS : Type.{u1}} [_inst_3 : CommSemiring.{u2} S] [_inst_4 : SetLike.{u1, u2} subS S] [_inst_5 : SubsemiringClass.{u2, u1} subS S (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_3)) _inst_4] {p : MvPolynomial.{u3, u2} σ S _inst_3} {s : subS}, (forall (i : Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)), (Membership.mem.{u3, u3} (Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finset.{u3} (Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (Finset.instMembershipFinset.{u3} (Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) i (MvPolynomial.support.{u2, u3} S σ _inst_3 p)) -> (Membership.mem.{u2, u1} S subS (SetLike.instMembership.{u1, u2} subS S _inst_4) (MvPolynomial.coeff.{u2, u3} S σ _inst_3 i p) s)) -> (forall {v : σ -> S}, (forall (i : σ), Membership.mem.{u2, u1} S subS (SetLike.instMembership.{u1, u2} subS S _inst_4) (v i) s) -> (Membership.mem.{u2, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u3, u2} σ S _inst_3) => S) p) subS (SetLike.instMembership.{u1, u2} subS S _inst_4) (FunLike.coe.{max (succ u3) (succ u2), max (succ u3) (succ u2), succ u2} (RingHom.{max u2 u3, u2} (MvPolynomial.{u3, u2} σ S _inst_3) S (Semiring.toNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} σ S _inst_3) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u3, u2} σ S _inst_3) (MvPolynomial.commSemiring.{u2, u3} S σ _inst_3))) (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_3))) (MvPolynomial.{u3, u2} σ S _inst_3) (fun (_x : MvPolynomial.{u3, u2} σ S _inst_3) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : MvPolynomial.{u3, u2} σ S _inst_3) => S) _x) (MulHomClass.toFunLike.{max u3 u2, max u3 u2, u2} (RingHom.{max u2 u3, u2} (MvPolynomial.{u3, u2} σ S _inst_3) S (Semiring.toNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} σ S _inst_3) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u3, u2} σ S _inst_3) (MvPolynomial.commSemiring.{u2, u3} S σ _inst_3))) (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_3))) (MvPolynomial.{u3, u2} σ S _inst_3) S (NonUnitalNonAssocSemiring.toMul.{max u3 u2} (MvPolynomial.{u3, u2} σ S _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S _inst_3) (Semiring.toNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} σ S _inst_3) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u3, u2} σ S _inst_3) (MvPolynomial.commSemiring.{u2, u3} S σ _inst_3))))) (NonUnitalNonAssocSemiring.toMul.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_3)))) (NonUnitalRingHomClass.toMulHomClass.{max u3 u2, max u3 u2, u2} (RingHom.{max u2 u3, u2} (MvPolynomial.{u3, u2} σ S _inst_3) S (Semiring.toNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} σ S _inst_3) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u3, u2} σ S _inst_3) (MvPolynomial.commSemiring.{u2, u3} S σ _inst_3))) (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_3))) (MvPolynomial.{u3, u2} σ S _inst_3) S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S _inst_3) (Semiring.toNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} σ S _inst_3) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u3, u2} σ S _inst_3) (MvPolynomial.commSemiring.{u2, u3} S σ _inst_3)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_3))) (RingHomClass.toNonUnitalRingHomClass.{max u3 u2, max u3 u2, u2} (RingHom.{max u2 u3, u2} (MvPolynomial.{u3, u2} σ S _inst_3) S (Semiring.toNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} σ S _inst_3) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u3, u2} σ S _inst_3) (MvPolynomial.commSemiring.{u2, u3} S σ _inst_3))) (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_3))) (MvPolynomial.{u3, u2} σ S _inst_3) S (Semiring.toNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} σ S _inst_3) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u3, u2} σ S _inst_3) (MvPolynomial.commSemiring.{u2, u3} S σ _inst_3))) (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_3)) (RingHom.instRingHomClassRingHom.{max u3 u2, u2} (MvPolynomial.{u3, u2} σ S _inst_3) S (Semiring.toNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} σ S _inst_3) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u3, u2} σ S _inst_3) (MvPolynomial.commSemiring.{u2, u3} S σ _inst_3))) (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_3)))))) (MvPolynomial.eval.{u2, u3} S σ _inst_3 v) p) s))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval_mem MvPolynomial.eval_memₓ'. -/
 theorem eval_mem {p : MvPolynomial σ S} {s : subS} (hs : ∀ i ∈ p.support, p.coeff i ∈ s) {v : σ → S}
     (hv : ∀ i, v i ∈ s) : MvPolynomial.eval v p ∈ s :=

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

@@ -179,7 +179,7 @@ def monomial (s : σ →₀ ℕ) : R →ₗ[R] MvPolynomial σ R :=
 lean 3 declaration is
   forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] (s : Finsupp.{u2, 0} σ Nat Nat.hasZero) (a : R), Eq.{max (succ u2) (succ u1)} (Finsupp.{u2, u1} (Finsupp.{u2, 0} σ Nat Nat.hasZero) R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))) (Finsupp.single.{u2, u1} (Finsupp.{u2, 0} σ Nat Nat.hasZero) R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) s a) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 s) a)
 but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] (s : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (a : R), Eq.{max (succ u2) (succ u1)} (Finsupp.{u1, u2} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))) (Finsupp.single.{u1, u2} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1)) s a) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s) a)
+  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] (s : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (a : R), Eq.{max (succ u2) (succ u1)} (Finsupp.{u1, u2} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))) (Finsupp.single.{u1, u2} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1)) s a) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s) a)
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.single_eq_monomial MvPolynomial.single_eq_monomialₓ'. -/
 theorem single_eq_monomial (s : σ →₀ ℕ) (a : R) : single s a = monomial s a :=
   rfl
@@ -189,7 +189,7 @@ theorem single_eq_monomial (s : σ →₀ ℕ) (a : R) : single s a = monomial s
 lean 3 declaration is
   forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {p : MvPolynomial.{u2, u1} σ R _inst_1} {q : MvPolynomial.{u2, u1} σ R _inst_1}, Eq.{succ (max u2 u1)} (MvPolynomial.{u2, u1} σ R _inst_1) (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Distrib.toHasMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))) p q) (Finsupp.sum.{u2, u1, max u2 u1} (Finsupp.{u2, 0} σ Nat Nat.hasZero) R (MvPolynomial.{u2, u1} σ R _inst_1) (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) p (fun (m : Finsupp.{u2, 0} σ Nat Nat.hasZero) (a : R) => Finsupp.sum.{u2, u1, max u2 u1} (Finsupp.{u2, 0} σ Nat Nat.hasZero) R (MvPolynomial.{u2, u1} σ R _inst_1) (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) q (fun (n : Finsupp.{u2, 0} σ Nat Nat.hasZero) (b : R) => coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 (HAdd.hAdd.{u2, u2, u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.{u2, 0} σ Nat Nat.hasZero) (instHAdd.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.add.{u2, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid))) m n)) (HMul.hMul.{u1, u1, u1} R R R (instHMul.{u1} R (Distrib.toHasMul.{u1} R (NonUnitalNonAssocSemiring.toDistrib.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))) a b))))
 but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] {p : MvPolynomial.{u1, u2} σ R _inst_1} {q : MvPolynomial.{u1, u2} σ R _inst_1}, Eq.{max (succ u2) (succ u1)} (MvPolynomial.{u1, u2} σ R _inst_1) (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) p q) (Finsupp.sum.{u1, u2, max u2 u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (MvPolynomial.{u1, u2} σ R _inst_1) (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) p (fun (m : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (a : R) => Finsupp.sum.{u1, u2, max u2 u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (MvPolynomial.{u1, u2} σ R _inst_1) (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) q (fun (n : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (b : R) => FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 (HAdd.hAdd.{u1, u1, u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (instHAdd.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.add.{u1, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid))) m n)) (HMul.hMul.{u2, u2, u2} R R R (instHMul.{u2} R (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) a b))))
+  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] {p : MvPolynomial.{u1, u2} σ R _inst_1} {q : MvPolynomial.{u1, u2} σ R _inst_1}, Eq.{max (succ u2) (succ u1)} (MvPolynomial.{u1, u2} σ R _inst_1) (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) p q) (Finsupp.sum.{u1, u2, max u2 u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (MvPolynomial.{u1, u2} σ R _inst_1) (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) p (fun (m : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (a : R) => Finsupp.sum.{u1, u2, max u2 u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (MvPolynomial.{u1, u2} σ R _inst_1) (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) q (fun (n : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (b : R) => FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 (HAdd.hAdd.{u1, u1, u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (instHAdd.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.add.{u1, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid))) m n)) (HMul.hMul.{u2, u2, u2} R R R (instHMul.{u2} R (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) a b))))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.mul_def MvPolynomial.mul_defₓ'. -/
 theorem mul_def : p * q = p.Sum fun m a => q.Sum fun n b => monomial (m + n) (a * b) :=
   rfl
@@ -227,7 +227,7 @@ def X (n : σ) : MvPolynomial σ R :=
 lean 3 declaration is
   forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {r : R}, (Ne.{succ u1} R r (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))))))) -> (Function.Injective.{succ u2, max (succ u2) (succ u1)} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (MvPolynomial.{u2, u1} σ R _inst_1) (fun (s : Finsupp.{u2, 0} σ Nat Nat.hasZero) => coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 s) r))
 but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] {r : R}, (Ne.{succ u2} R r (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))))) -> (Function.Injective.{succ u1, max (succ u2) (succ u1)} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) r) (fun (s : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s) r))
+  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] {r : R}, (Ne.{succ u2} R r (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))))) -> (Function.Injective.{succ u1, max (succ u2) (succ u1)} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) r) (fun (s : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s) r))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.monomial_left_injective MvPolynomial.monomial_left_injectiveₓ'. -/
 theorem monomial_left_injective {r : R} (hr : r ≠ 0) :
     Function.Injective fun s : σ →₀ ℕ => monomial s r :=
@@ -238,7 +238,7 @@ theorem monomial_left_injective {r : R} (hr : r ≠ 0) :
 lean 3 declaration is
   forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {s : Finsupp.{u2, 0} σ Nat Nat.hasZero} {t : Finsupp.{u2, 0} σ Nat Nat.hasZero} {r : R}, (Ne.{succ u1} R r (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))))))) -> (Iff (Eq.{max (succ u2) (succ u1)} (MvPolynomial.{u2, u1} σ R _inst_1) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 s) r) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 t) r)) (Eq.{succ u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) s t))
 but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] {s : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)} {t : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)} {r : R}, (Ne.{succ u2} R r (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))))) -> (Iff (Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) r) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s) r) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 t) r)) (Eq.{succ u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) s t))
+  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] {s : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)} {t : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)} {r : R}, (Ne.{succ u2} R r (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))))) -> (Iff (Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) r) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s) r) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 t) r)) (Eq.{succ u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) s t))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.monomial_left_inj MvPolynomial.monomial_left_injₓ'. -/
 @[simp]
 theorem monomial_left_inj {s t : σ →₀ ℕ} {r : R} (hr : r ≠ 0) :
@@ -250,7 +250,7 @@ theorem monomial_left_inj {s t : σ →₀ ℕ} {r : R} (hr : r ≠ 0) :
 lean 3 declaration is
   forall {R : Type.{u1}} {σ : Type.{u2}} {a : R} [_inst_1 : CommSemiring.{u1} R], Eq.{max (succ u2) (succ u1)} (MvPolynomial.{u2, u1} σ R _inst_1) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (fun (_x : RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (MvPolynomial.C.{u1, u2} R σ _inst_1) a) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 (OfNat.ofNat.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) 0 (OfNat.mk.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) 0 (Zero.zero.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.zero.{u2, 0} σ Nat Nat.hasZero))))) a)
 but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} {a : R} [_inst_1 : CommSemiring.{u2} R], Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) a) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 (OfNat.ofNat.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) 0 (Zero.toOfNat0.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.zero.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))))) a)
+  forall {R : Type.{u2}} {σ : Type.{u1}} {a : R} [_inst_1 : CommSemiring.{u2} R], Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) a) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 (OfNat.ofNat.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) 0 (Zero.toOfNat0.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.zero.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))))) a)
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.C_apply MvPolynomial.C_applyₓ'. -/
 theorem C_apply : (C a : MvPolynomial σ R) = monomial 0 a :=
   rfl
@@ -281,7 +281,7 @@ theorem C_1 : C 1 = (1 : MvPolynomial σ R) :=
 lean 3 declaration is
   forall {R : Type.{u1}} {σ : Type.{u2}} {a : R} {a' : R} {s : Finsupp.{u2, 0} σ Nat Nat.hasZero} [_inst_1 : CommSemiring.{u1} R], Eq.{succ (max u2 u1)} (MvPolynomial.{u2, u1} σ R _inst_1) (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Distrib.toHasMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (fun (_x : RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (MvPolynomial.C.{u1, u2} R σ _inst_1) a) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 s) a')) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 s) (HMul.hMul.{u1, u1, u1} R R R (instHMul.{u1} R (Distrib.toHasMul.{u1} R (NonUnitalNonAssocSemiring.toDistrib.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))) a a'))
 but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} {a : R} {a' : R} {s : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)} [_inst_1 : CommSemiring.{u2} R], Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) (HMul.hMul.{u2, u2, u2} R R R (instHMul.{u2} R (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) a a')) (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a') ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) (HMul.hMul.{u2, u2, u2} R R R (instHMul.{u2} R (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) a a')) (instHMul.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (Semiring.toNonAssocSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (CommSemiring.toSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) a) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s) a')) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s) (HMul.hMul.{u2, u2, u2} R R R (instHMul.{u2} R (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) a a'))
+  forall {R : Type.{u2}} {σ : Type.{u1}} {a : R} {a' : R} {s : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)} [_inst_1 : CommSemiring.{u2} R], Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) (HMul.hMul.{u2, u2, u2} R R R (instHMul.{u2} R (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) a a')) (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a') ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) (HMul.hMul.{u2, u2, u2} R R R (instHMul.{u2} R (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) a a')) (instHMul.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (Semiring.toNonAssocSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (CommSemiring.toSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) a) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s) a')) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s) (HMul.hMul.{u2, u2, u2} R R R (instHMul.{u2} R (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) a a'))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.C_mul_monomial MvPolynomial.C_mul_monomialₓ'. -/
 theorem C_mul_monomial : C a * monomial s a' = monomial s (a * a') := by
   simp [C_apply, monomial, single_mul_single]
@@ -414,7 +414,7 @@ theorem C_eq_smul_one : (C a : MvPolynomial σ R) = a • 1 := by rw [← C_mul'
 lean 3 declaration is
   forall {R : Type.{u1}} {σ : Type.{u2}} {a : R} {s : Finsupp.{u2, 0} σ Nat Nat.hasZero} [_inst_1 : CommSemiring.{u1} R] {S₁ : Type.{u3}} [_inst_3 : SMulZeroClass.{u3, u1} S₁ R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))] (r : S₁), Eq.{succ (max u2 u1)} (MvPolynomial.{u2, u1} σ R _inst_1) (SMul.smul.{u3, max u2 u1} S₁ (MvPolynomial.{u2, u1} σ R _inst_1) (SMulZeroClass.toHasSmul.{u3, max u2 u1} S₁ (MvPolynomial.{u2, u1} σ R _inst_1) (MulZeroClass.toHasZero.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toMulZeroClass.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))))) (MvPolynomial.smulZeroClass.{u3, u1, u2} S₁ R σ _inst_1 _inst_3)) r (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 s) a)) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 s) (SMul.smul.{u3, u1} S₁ R (SMulZeroClass.toHasSmul.{u3, u1} S₁ R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) _inst_3) r a))
 but is expected to have type
-  forall {R : Type.{u3}} {σ : Type.{u1}} {a : R} {s : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)} [_inst_1 : CommSemiring.{u3} R] {S₁ : Type.{u2}} [_inst_3 : SMulZeroClass.{u2, u3} S₁ R (CommMonoidWithZero.toZero.{u3} R (CommSemiring.toCommMonoidWithZero.{u3} R _inst_1))] (r : S₁), Eq.{max (succ u3) (succ u1)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u3} σ R _inst_1) a) (HSMul.hSMul.{u2, max u3 u1, max u3 u1} S₁ ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u3} σ R _inst_1) a) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u3} σ R _inst_1) a) (instHSMul.{u2, max u3 u1} S₁ ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u3} σ R _inst_1) a) (SMulZeroClass.toSMul.{u2, max u3 u1} S₁ ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u3} σ R _inst_1) a) (CommMonoidWithZero.toZero.{max u3 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u3} σ R _inst_1) a) (CommSemiring.toCommMonoidWithZero.{max u3 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u3} σ R _inst_1) a) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (MvPolynomial.smulZeroClass.{u2, u3, u1} S₁ R σ _inst_1 _inst_3))) r (FunLike.coe.{max (succ u1) (succ u3), succ u3, max (succ u1) (succ u3)} (LinearMap.{u3, u3, u3, max u3 u1} R R (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) R (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (MvPolynomial.module.{u3, u3, u1} R R σ (CommSemiring.toSemiring.{u3} R _inst_1) _inst_1 (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u3} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u3, u3, u3, max u1 u3} R R R (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (MvPolynomial.module.{u3, u3, u1} R R σ (CommSemiring.toSemiring.{u3} R _inst_1) _inst_1 (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (MvPolynomial.monomial.{u3, u1} R σ _inst_1 s) a)) (FunLike.coe.{max (succ u1) (succ u3), succ u3, max (succ u1) (succ u3)} (LinearMap.{u3, u3, u3, max u3 u1} R R (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) R (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (MvPolynomial.module.{u3, u3, u1} R R σ (CommSemiring.toSemiring.{u3} R _inst_1) _inst_1 (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u3} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u3, u3, u3, max u1 u3} R R R (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (MvPolynomial.module.{u3, u3, u1} R R σ (CommSemiring.toSemiring.{u3} R _inst_1) _inst_1 (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (MvPolynomial.monomial.{u3, u1} R σ _inst_1 s) (HSMul.hSMul.{u2, u3, u3} S₁ R R (instHSMul.{u2, u3} S₁ R (SMulZeroClass.toSMul.{u2, u3} S₁ R (CommMonoidWithZero.toZero.{u3} R (CommSemiring.toCommMonoidWithZero.{u3} R _inst_1)) _inst_3)) r a))
+  forall {R : Type.{u3}} {σ : Type.{u1}} {a : R} {s : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)} [_inst_1 : CommSemiring.{u3} R] {S₁ : Type.{u2}} [_inst_3 : SMulZeroClass.{u2, u3} S₁ R (CommMonoidWithZero.toZero.{u3} R (CommSemiring.toCommMonoidWithZero.{u3} R _inst_1))] (r : S₁), Eq.{max (succ u3) (succ u1)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u3} σ R _inst_1) a) (HSMul.hSMul.{u2, max u3 u1, max u3 u1} S₁ ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u3} σ R _inst_1) a) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u3} σ R _inst_1) a) (instHSMul.{u2, max u3 u1} S₁ ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u3} σ R _inst_1) a) (SMulZeroClass.toSMul.{u2, max u3 u1} S₁ ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u3} σ R _inst_1) a) (CommMonoidWithZero.toZero.{max u3 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u3} σ R _inst_1) a) (CommSemiring.toCommMonoidWithZero.{max u3 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u3} σ R _inst_1) a) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (MvPolynomial.smulZeroClass.{u2, u3, u1} S₁ R σ _inst_1 _inst_3))) r (FunLike.coe.{max (succ u1) (succ u3), succ u3, max (succ u1) (succ u3)} (LinearMap.{u3, u3, u3, max u3 u1} R R (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) R (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (MvPolynomial.module.{u3, u3, u1} R R σ (CommSemiring.toSemiring.{u3} R _inst_1) _inst_1 (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u3} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u3, u3, u3, max u1 u3} R R R (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (MvPolynomial.module.{u3, u3, u1} R R σ (CommSemiring.toSemiring.{u3} R _inst_1) _inst_1 (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (MvPolynomial.monomial.{u3, u1} R σ _inst_1 s) a)) (FunLike.coe.{max (succ u1) (succ u3), succ u3, max (succ u1) (succ u3)} (LinearMap.{u3, u3, u3, max u3 u1} R R (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) R (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (MvPolynomial.module.{u3, u3, u1} R R σ (CommSemiring.toSemiring.{u3} R _inst_1) _inst_1 (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u3} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u3, u3, u3, max u1 u3} R R R (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (MvPolynomial.module.{u3, u3, u1} R R σ (CommSemiring.toSemiring.{u3} R _inst_1) _inst_1 (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (MvPolynomial.monomial.{u3, u1} R σ _inst_1 s) (HSMul.hSMul.{u2, u3, u3} S₁ R R (instHSMul.{u2, u3} S₁ R (SMulZeroClass.toSMul.{u2, u3} S₁ R (CommMonoidWithZero.toZero.{u3} R (CommSemiring.toCommMonoidWithZero.{u3} R _inst_1)) _inst_3)) r a))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.smul_monomial MvPolynomial.smul_monomialₓ'. -/
 theorem smul_monomial {S₁ : Type _} [SMulZeroClass S₁ R] (r : S₁) :
     r • monomial s a = monomial s (r • a) :=
@@ -446,7 +446,7 @@ theorem X_inj [Nontrivial R] (m n : σ) : X m = (X n : MvPolynomial σ R) ↔ m
 lean 3 declaration is
   forall {R : Type.{u1}} {σ : Type.{u2}} {a : R} {e : Nat} {s : Finsupp.{u2, 0} σ Nat Nat.hasZero} [_inst_1 : CommSemiring.{u1} R], Eq.{succ (max u2 u1)} (MvPolynomial.{u2, u1} σ R _inst_1) (HPow.hPow.{max u2 u1, 0, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) Nat (MvPolynomial.{u2, u1} σ R _inst_1) (instHPow.{max u2 u1, 0} (MvPolynomial.{u2, u1} σ R _inst_1) Nat (Monoid.Pow.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MonoidWithZero.toMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toMonoidWithZero.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))))) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 s) a) e) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 (SMul.smul.{0, u2} Nat (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.hasNatScalar.{u2, 0} σ Nat Nat.addMonoid) e s)) (HPow.hPow.{u1, 0, u1} R Nat R (instHPow.{u1, 0} R Nat (Monoid.Pow.{u1} R (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) a e))
 but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} {a : R} {e : Nat} {s : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)} [_inst_1 : CommSemiring.{u2} R], Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (HPow.hPow.{max u2 u1, 0, max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) Nat ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (instHPow.{max u2 u1, 0} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) Nat (Monoid.Pow.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (MonoidWithZero.toMonoid.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (Semiring.toMonoidWithZero.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (CommSemiring.toSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s) a) e) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 (HSMul.hSMul.{0, u1, u1} Nat (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (instHSMul.{0, u1} Nat (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.hasNatScalar.{u1, 0} σ Nat Nat.addMonoid)) e s)) (HPow.hPow.{u2, 0, u2} R Nat R (instHPow.{u2, 0} R Nat (Monoid.Pow.{u2} R (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) a e))
+  forall {R : Type.{u2}} {σ : Type.{u1}} {a : R} {e : Nat} {s : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)} [_inst_1 : CommSemiring.{u2} R], Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (HPow.hPow.{max u2 u1, 0, max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) Nat ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (instHPow.{max u2 u1, 0} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) Nat (Monoid.Pow.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (MonoidWithZero.toMonoid.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (Semiring.toMonoidWithZero.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (CommSemiring.toSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s) a) e) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 (HSMul.hSMul.{0, u1, u1} Nat (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (instHSMul.{0, u1} Nat (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.hasNatScalar.{u1, 0} σ Nat Nat.addMonoid)) e s)) (HPow.hPow.{u2, 0, u2} R Nat R (instHPow.{u2, 0} R Nat (Monoid.Pow.{u2} R (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) a e))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.monomial_pow MvPolynomial.monomial_powₓ'. -/
 theorem monomial_pow : monomial s a ^ e = monomial (e • s) (a ^ e) :=
   AddMonoidAlgebra.single_pow e
@@ -456,7 +456,7 @@ theorem monomial_pow : monomial s a ^ e = monomial (e • s) (a ^ e) :=
 lean 3 declaration is
   forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {s : Finsupp.{u2, 0} σ Nat Nat.hasZero} {s' : Finsupp.{u2, 0} σ Nat Nat.hasZero} {a : R} {b : R}, Eq.{succ (max u2 u1)} (MvPolynomial.{u2, u1} σ R _inst_1) (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Distrib.toHasMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 s) a) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 s') b)) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 (HAdd.hAdd.{u2, u2, u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.{u2, 0} σ Nat Nat.hasZero) (instHAdd.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.add.{u2, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid))) s s')) (HMul.hMul.{u1, u1, u1} R R R (instHMul.{u1} R (Distrib.toHasMul.{u1} R (NonUnitalNonAssocSemiring.toDistrib.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))) a b))
 but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] {s : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)} {s' : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)} {a : R} {b : R}, Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) b) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (instHMul.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (Semiring.toNonAssocSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (CommSemiring.toSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s) a) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s') b)) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 (HAdd.hAdd.{u1, u1, u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (instHAdd.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.add.{u1, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid))) s s')) (HMul.hMul.{u2, u2, u2} R R R (instHMul.{u2} R (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) a b))
+  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] {s : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)} {s' : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)} {a : R} {b : R}, Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) b) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (instHMul.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (Semiring.toNonAssocSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (CommSemiring.toSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s) a) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s') b)) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 (HAdd.hAdd.{u1, u1, u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (instHAdd.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.add.{u1, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid))) s s')) (HMul.hMul.{u2, u2, u2} R R R (instHMul.{u2} R (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) a b))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.monomial_mul MvPolynomial.monomial_mulₓ'. -/
 @[simp]
 theorem monomial_mul {s s' : σ →₀ ℕ} {a b : R} :
@@ -479,7 +479,7 @@ variable {σ R}
 lean 3 declaration is
   forall {R : Type.{u1}} {σ : Type.{u2}} {s : Finsupp.{u2, 0} σ Nat Nat.hasZero} [_inst_1 : CommSemiring.{u1} R], Eq.{max (succ u2) (succ u1)} (MvPolynomial.{u2, u1} σ R _inst_1) (coeFn.{max (succ (max u2 u1)) (succ u2), max (succ u2) (succ (max u2 u1))} (MonoidHom.{u2, max u2 u1} (Multiplicative.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (MvPolynomial.{u2, u1} σ R _inst_1) (Multiplicative.mulOneClass.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.addZeroClass.{u2, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid))) (MulZeroOneClass.toMulOneClass.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toMulZeroOneClass.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))))) (fun (_x : MonoidHom.{u2, max u2 u1} (Multiplicative.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (MvPolynomial.{u2, u1} σ R _inst_1) (Multiplicative.mulOneClass.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.addZeroClass.{u2, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid))) (MulZeroOneClass.toMulOneClass.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toMulZeroOneClass.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))))) => (Multiplicative.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) -> (MvPolynomial.{u2, u1} σ R _inst_1)) (MonoidHom.hasCoeToFun.{u2, max u2 u1} (Multiplicative.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (MvPolynomial.{u2, u1} σ R _inst_1) (Multiplicative.mulOneClass.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.addZeroClass.{u2, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid))) (MulZeroOneClass.toMulOneClass.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toMulZeroOneClass.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))))) (MvPolynomial.monomialOneHom.{u1, u2} R σ _inst_1) s) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 s) (OfNat.ofNat.{u1} R 1 (OfNat.mk.{u1} R 1 (One.one.{u1} R (AddMonoidWithOne.toOne.{u1} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} R (NonAssocSemiring.toAddCommMonoidWithOne.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))))))
 but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} {s : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)} [_inst_1 : CommSemiring.{u2} R], Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : Multiplicative.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) => MvPolynomial.{u1, u2} σ R _inst_1) s) (FunLike.coe.{max (succ u2) (succ u1), succ u1, max (succ u2) (succ u1)} (MonoidHom.{u1, max u2 u1} (Multiplicative.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (MvPolynomial.{u1, u2} σ R _inst_1) (Multiplicative.mulOneClass.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.addZeroClass.{u1, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid))) (MulZeroOneClass.toMulOneClass.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toMulZeroOneClass.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (Multiplicative.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (fun (_x : Multiplicative.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : Multiplicative.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u2 u1, u1, max u2 u1} (MonoidHom.{u1, max u2 u1} (Multiplicative.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (MvPolynomial.{u1, u2} σ R _inst_1) (Multiplicative.mulOneClass.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.addZeroClass.{u1, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid))) (MulZeroOneClass.toMulOneClass.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toMulZeroOneClass.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (Multiplicative.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (MvPolynomial.{u1, u2} σ R _inst_1) (MulOneClass.toMul.{u1} (Multiplicative.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (Multiplicative.mulOneClass.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.addZeroClass.{u1, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)))) (MulOneClass.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MulZeroOneClass.toMulOneClass.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toMulZeroOneClass.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (MonoidHomClass.toMulHomClass.{max u2 u1, u1, max u2 u1} (MonoidHom.{u1, max u2 u1} (Multiplicative.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (MvPolynomial.{u1, u2} σ R _inst_1) (Multiplicative.mulOneClass.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.addZeroClass.{u1, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid))) (MulZeroOneClass.toMulOneClass.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toMulZeroOneClass.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (Multiplicative.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (MvPolynomial.{u1, u2} σ R _inst_1) (Multiplicative.mulOneClass.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.addZeroClass.{u1, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid))) (MulZeroOneClass.toMulOneClass.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toMulZeroOneClass.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (MonoidHom.monoidHomClass.{u1, max u2 u1} (Multiplicative.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (MvPolynomial.{u1, u2} σ R _inst_1) (Multiplicative.mulOneClass.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.addZeroClass.{u1, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid))) (MulZeroOneClass.toMulOneClass.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toMulZeroOneClass.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))))) (MvPolynomial.monomialOneHom.{u2, u1} R σ _inst_1) s) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s) (OfNat.ofNat.{u2} R 1 (One.toOfNat1.{u2} R (Semiring.toOne.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))))
+  forall {R : Type.{u2}} {σ : Type.{u1}} {s : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)} [_inst_1 : CommSemiring.{u2} R], Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : Multiplicative.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) => MvPolynomial.{u1, u2} σ R _inst_1) s) (FunLike.coe.{max (succ u2) (succ u1), succ u1, max (succ u2) (succ u1)} (MonoidHom.{u1, max u2 u1} (Multiplicative.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (MvPolynomial.{u1, u2} σ R _inst_1) (Multiplicative.mulOneClass.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.addZeroClass.{u1, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid))) (MulZeroOneClass.toMulOneClass.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toMulZeroOneClass.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (Multiplicative.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (fun (_x : Multiplicative.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : Multiplicative.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u2 u1, u1, max u2 u1} (MonoidHom.{u1, max u2 u1} (Multiplicative.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (MvPolynomial.{u1, u2} σ R _inst_1) (Multiplicative.mulOneClass.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.addZeroClass.{u1, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid))) (MulZeroOneClass.toMulOneClass.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toMulZeroOneClass.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (Multiplicative.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (MvPolynomial.{u1, u2} σ R _inst_1) (MulOneClass.toMul.{u1} (Multiplicative.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (Multiplicative.mulOneClass.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.addZeroClass.{u1, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)))) (MulOneClass.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MulZeroOneClass.toMulOneClass.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toMulZeroOneClass.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (MonoidHomClass.toMulHomClass.{max u2 u1, u1, max u2 u1} (MonoidHom.{u1, max u2 u1} (Multiplicative.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (MvPolynomial.{u1, u2} σ R _inst_1) (Multiplicative.mulOneClass.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.addZeroClass.{u1, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid))) (MulZeroOneClass.toMulOneClass.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toMulZeroOneClass.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (Multiplicative.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (MvPolynomial.{u1, u2} σ R _inst_1) (Multiplicative.mulOneClass.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.addZeroClass.{u1, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid))) (MulZeroOneClass.toMulOneClass.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toMulZeroOneClass.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (MonoidHom.monoidHomClass.{u1, max u2 u1} (Multiplicative.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (MvPolynomial.{u1, u2} σ R _inst_1) (Multiplicative.mulOneClass.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.addZeroClass.{u1, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid))) (MulZeroOneClass.toMulOneClass.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toMulZeroOneClass.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))))) (MvPolynomial.monomialOneHom.{u2, u1} R σ _inst_1) s) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s) (OfNat.ofNat.{u2} R 1 (One.toOfNat1.{u2} R (Semiring.toOne.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.monomial_one_hom_apply MvPolynomial.monomialOneHom_applyₓ'. -/
 @[simp]
 theorem monomialOneHom_apply : monomialOneHom R σ s = (monomial s 1 : MvPolynomial σ R) :=
@@ -490,7 +490,7 @@ theorem monomialOneHom_apply : monomialOneHom R σ s = (monomial s 1 : MvPolynom
 lean 3 declaration is
   forall {R : Type.{u1}} {σ : Type.{u2}} {e : Nat} {n : σ} [_inst_1 : CommSemiring.{u1} R], Eq.{succ (max u2 u1)} (MvPolynomial.{u2, u1} σ R _inst_1) (HPow.hPow.{max u2 u1, 0, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) Nat (MvPolynomial.{u2, u1} σ R _inst_1) (instHPow.{max u2 u1, 0} (MvPolynomial.{u2, u1} σ R _inst_1) Nat (Monoid.Pow.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MonoidWithZero.toMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toMonoidWithZero.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))))) (MvPolynomial.X.{u1, u2} R σ _inst_1 n) e) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 (Finsupp.single.{u2, 0} σ Nat Nat.hasZero n e)) (OfNat.ofNat.{u1} R 1 (OfNat.mk.{u1} R 1 (One.one.{u1} R (AddMonoidWithOne.toOne.{u1} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} R (NonAssocSemiring.toAddCommMonoidWithOne.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))))))
 but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} {e : Nat} {n : σ} [_inst_1 : CommSemiring.{u2} R], Eq.{max (succ u2) (succ u1)} (MvPolynomial.{u1, u2} σ R _inst_1) (HPow.hPow.{max u1 u2, 0, max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) Nat (MvPolynomial.{u1, u2} σ R _inst_1) (instHPow.{max u1 u2, 0} (MvPolynomial.{u1, u2} σ R _inst_1) Nat (Monoid.Pow.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MonoidWithZero.toMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toMonoidWithZero.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (MvPolynomial.X.{u2, u1} R σ _inst_1 n) e) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 (Finsupp.single.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) n e)) (OfNat.ofNat.{u2} R 1 (One.toOfNat1.{u2} R (Semiring.toOne.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))))
+  forall {R : Type.{u2}} {σ : Type.{u1}} {e : Nat} {n : σ} [_inst_1 : CommSemiring.{u2} R], Eq.{max (succ u2) (succ u1)} (MvPolynomial.{u1, u2} σ R _inst_1) (HPow.hPow.{max u1 u2, 0, max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) Nat (MvPolynomial.{u1, u2} σ R _inst_1) (instHPow.{max u1 u2, 0} (MvPolynomial.{u1, u2} σ R _inst_1) Nat (Monoid.Pow.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MonoidWithZero.toMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toMonoidWithZero.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (MvPolynomial.X.{u2, u1} R σ _inst_1 n) e) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 (Finsupp.single.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) n e)) (OfNat.ofNat.{u2} R 1 (One.toOfNat1.{u2} R (Semiring.toOne.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.X_pow_eq_monomial MvPolynomial.X_pow_eq_monomialₓ'. -/
 theorem X_pow_eq_monomial : X n ^ e = monomial (single n e) (1 : R) := by simp [X, monomial_pow]
 #align mv_polynomial.X_pow_eq_monomial MvPolynomial.X_pow_eq_monomial
@@ -499,7 +499,7 @@ theorem X_pow_eq_monomial : X n ^ e = monomial (single n e) (1 : R) := by simp [
 lean 3 declaration is
   forall {R : Type.{u1}} {σ : Type.{u2}} {a : R} {e : Nat} {n : σ} {s : Finsupp.{u2, 0} σ Nat Nat.hasZero} [_inst_1 : CommSemiring.{u1} R], Eq.{max (succ u2) (succ u1)} (MvPolynomial.{u2, u1} σ R _inst_1) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 (HAdd.hAdd.{u2, u2, u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.{u2, 0} σ Nat Nat.hasZero) (instHAdd.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.add.{u2, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid))) s (Finsupp.single.{u2, 0} σ Nat Nat.hasZero n e))) a) (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Distrib.toHasMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 s) a) (HPow.hPow.{max u2 u1, 0, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) Nat (MvPolynomial.{u2, u1} σ R _inst_1) (instHPow.{max u2 u1, 0} (MvPolynomial.{u2, u1} σ R _inst_1) Nat (Monoid.Pow.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MonoidWithZero.toMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toMonoidWithZero.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))))) (MvPolynomial.X.{u1, u2} R σ _inst_1 n) e))
 but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} {a : R} {e : Nat} {n : σ} {s : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)} [_inst_1 : CommSemiring.{u2} R], Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 (HAdd.hAdd.{u1, u1, u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (instHAdd.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.add.{u1, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid))) s (Finsupp.single.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) n e))) a) (HMul.hMul.{max u2 u1, max u1 u2, max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (MvPolynomial.{u1, u2} σ R _inst_1) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (instHMul.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (Semiring.toNonAssocSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (CommSemiring.toSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s) a) (HPow.hPow.{max u1 u2, 0, max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) Nat (MvPolynomial.{u1, u2} σ R _inst_1) (instHPow.{max u1 u2, 0} (MvPolynomial.{u1, u2} σ R _inst_1) Nat (Monoid.Pow.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MonoidWithZero.toMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toMonoidWithZero.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (MvPolynomial.X.{u2, u1} R σ _inst_1 n) e))
+  forall {R : Type.{u2}} {σ : Type.{u1}} {a : R} {e : Nat} {n : σ} {s : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)} [_inst_1 : CommSemiring.{u2} R], Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 (HAdd.hAdd.{u1, u1, u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (instHAdd.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.add.{u1, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid))) s (Finsupp.single.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) n e))) a) (HMul.hMul.{max u2 u1, max u1 u2, max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (MvPolynomial.{u1, u2} σ R _inst_1) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (instHMul.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (Semiring.toNonAssocSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (CommSemiring.toSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s) a) (HPow.hPow.{max u1 u2, 0, max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) Nat (MvPolynomial.{u1, u2} σ R _inst_1) (instHPow.{max u1 u2, 0} (MvPolynomial.{u1, u2} σ R _inst_1) Nat (Monoid.Pow.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MonoidWithZero.toMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toMonoidWithZero.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (MvPolynomial.X.{u2, u1} R σ _inst_1 n) e))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.monomial_add_single MvPolynomial.monomial_add_singleₓ'. -/
 theorem monomial_add_single : monomial (s + single n e) a = monomial s a * X n ^ e := by
   rw [X_pow_eq_monomial, monomial_mul, mul_one]
@@ -509,7 +509,7 @@ theorem monomial_add_single : monomial (s + single n e) a = monomial s a * X n ^
 lean 3 declaration is
   forall {R : Type.{u1}} {σ : Type.{u2}} {a : R} {e : Nat} {n : σ} {s : Finsupp.{u2, 0} σ Nat Nat.hasZero} [_inst_1 : CommSemiring.{u1} R], Eq.{max (succ u2) (succ u1)} (MvPolynomial.{u2, u1} σ R _inst_1) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 (HAdd.hAdd.{u2, u2, u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.{u2, 0} σ Nat Nat.hasZero) (instHAdd.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.add.{u2, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid))) (Finsupp.single.{u2, 0} σ Nat Nat.hasZero n e) s)) a) (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Distrib.toHasMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))) (HPow.hPow.{max u2 u1, 0, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) Nat (MvPolynomial.{u2, u1} σ R _inst_1) (instHPow.{max u2 u1, 0} (MvPolynomial.{u2, u1} σ R _inst_1) Nat (Monoid.Pow.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MonoidWithZero.toMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toMonoidWithZero.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))))) (MvPolynomial.X.{u1, u2} R σ _inst_1 n) e) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 s) a))
 but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} {a : R} {e : Nat} {n : σ} {s : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)} [_inst_1 : CommSemiring.{u2} R], Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 (HAdd.hAdd.{u1, u1, u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (instHAdd.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.add.{u1, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid))) (Finsupp.single.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) n e) s)) a) (HMul.hMul.{max u1 u2, max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (instHMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (HPow.hPow.{max u1 u2, 0, max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) Nat (MvPolynomial.{u1, u2} σ R _inst_1) (instHPow.{max u1 u2, 0} (MvPolynomial.{u1, u2} σ R _inst_1) Nat (Monoid.Pow.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MonoidWithZero.toMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toMonoidWithZero.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (MvPolynomial.X.{u2, u1} R σ _inst_1 n) e) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s) a))
+  forall {R : Type.{u2}} {σ : Type.{u1}} {a : R} {e : Nat} {n : σ} {s : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)} [_inst_1 : CommSemiring.{u2} R], Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 (HAdd.hAdd.{u1, u1, u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (instHAdd.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.add.{u1, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid))) (Finsupp.single.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) n e) s)) a) (HMul.hMul.{max u1 u2, max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (instHMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (HPow.hPow.{max u1 u2, 0, max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) Nat (MvPolynomial.{u1, u2} σ R _inst_1) (instHPow.{max u1 u2, 0} (MvPolynomial.{u1, u2} σ R _inst_1) Nat (Monoid.Pow.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MonoidWithZero.toMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toMonoidWithZero.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (MvPolynomial.X.{u2, u1} R σ _inst_1 n) e) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s) a))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.monomial_single_add MvPolynomial.monomial_single_addₓ'. -/
 theorem monomial_single_add : monomial (single n e + s) a = X n ^ e * monomial s a := by
   rw [X_pow_eq_monomial, monomial_mul, one_mul]
@@ -519,7 +519,7 @@ theorem monomial_single_add : monomial (single n e + s) a = X n ^ e * monomial s
 lean 3 declaration is
   forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {s : σ} {a : R} {n : Nat}, Eq.{succ (max u2 u1)} (MvPolynomial.{u2, u1} σ R _inst_1) (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Distrib.toHasMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (fun (_x : RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (MvPolynomial.C.{u1, u2} R σ _inst_1) a) (HPow.hPow.{max u2 u1, 0, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) Nat (MvPolynomial.{u2, u1} σ R _inst_1) (instHPow.{max u2 u1, 0} (MvPolynomial.{u2, u1} σ R _inst_1) Nat (Monoid.Pow.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MonoidWithZero.toMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toMonoidWithZero.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))))) (MvPolynomial.X.{u1, u2} R σ _inst_1 s) n)) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 (Finsupp.single.{u2, 0} σ Nat Nat.hasZero s n)) a)
 but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] {s : σ} {a : R} {n : Nat}, Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (HMul.hMul.{max u2 u1, max u1 u2, max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (MvPolynomial.{u1, u2} σ R _inst_1) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (instHMul.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (Semiring.toNonAssocSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (CommSemiring.toSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) a) (HPow.hPow.{max u1 u2, 0, max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) Nat (MvPolynomial.{u1, u2} σ R _inst_1) (instHPow.{max u1 u2, 0} (MvPolynomial.{u1, u2} σ R _inst_1) Nat (Monoid.Pow.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MonoidWithZero.toMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toMonoidWithZero.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (MvPolynomial.X.{u2, u1} R σ _inst_1 s) n)) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 (Finsupp.single.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) s n)) a)
+  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] {s : σ} {a : R} {n : Nat}, Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (HMul.hMul.{max u2 u1, max u1 u2, max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (MvPolynomial.{u1, u2} σ R _inst_1) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (instHMul.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (Semiring.toNonAssocSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (CommSemiring.toSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) a) (HPow.hPow.{max u1 u2, 0, max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) Nat (MvPolynomial.{u1, u2} σ R _inst_1) (instHPow.{max u1 u2, 0} (MvPolynomial.{u1, u2} σ R _inst_1) Nat (Monoid.Pow.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MonoidWithZero.toMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toMonoidWithZero.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (MvPolynomial.X.{u2, u1} R σ _inst_1 s) n)) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 (Finsupp.single.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) s n)) a)
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.C_mul_X_pow_eq_monomial MvPolynomial.C_mul_X_pow_eq_monomialₓ'. -/
 theorem C_mul_X_pow_eq_monomial {s : σ} {a : R} {n : ℕ} : C a * X s ^ n = monomial (single s n) a :=
   by rw [← zero_add (single s n), monomial_add_single, C_apply]
@@ -529,7 +529,7 @@ theorem C_mul_X_pow_eq_monomial {s : σ} {a : R} {n : ℕ} : C a * X s ^ n = mon
 lean 3 declaration is
   forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {s : σ} {a : R}, Eq.{succ (max u2 u1)} (MvPolynomial.{u2, u1} σ R _inst_1) (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Distrib.toHasMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (fun (_x : RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (MvPolynomial.C.{u1, u2} R σ _inst_1) a) (MvPolynomial.X.{u1, u2} R σ _inst_1 s)) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 (Finsupp.single.{u2, 0} σ Nat Nat.hasZero s (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) a)
 but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] {s : σ} {a : R}, Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (HMul.hMul.{max u2 u1, max u1 u2, max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (MvPolynomial.{u1, u2} σ R _inst_1) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (instHMul.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (Semiring.toNonAssocSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (CommSemiring.toSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) a) (MvPolynomial.X.{u2, u1} R σ _inst_1 s)) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 (Finsupp.single.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) s (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) a)
+  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] {s : σ} {a : R}, Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (HMul.hMul.{max u2 u1, max u1 u2, max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (MvPolynomial.{u1, u2} σ R _inst_1) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (instHMul.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (Semiring.toNonAssocSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (CommSemiring.toSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) a) (MvPolynomial.X.{u2, u1} R σ _inst_1 s)) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 (Finsupp.single.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) s (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) a)
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.C_mul_X_eq_monomial MvPolynomial.C_mul_X_eq_monomialₓ'. -/
 theorem C_mul_X_eq_monomial {s : σ} {a : R} : C a * X s = monomial (single s 1) a := by
   rw [← C_mul_X_pow_eq_monomial, pow_one]
@@ -539,7 +539,7 @@ theorem C_mul_X_eq_monomial {s : σ} {a : R} : C a * X s = monomial (single s 1)
 lean 3 declaration is
   forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {s : Finsupp.{u2, 0} σ Nat Nat.hasZero}, Eq.{max (succ u2) (succ u1)} (MvPolynomial.{u2, u1} σ R _inst_1) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 s) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))))))) (OfNat.ofNat.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) 0 (OfNat.mk.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) 0 (Zero.zero.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MulZeroClass.toHasZero.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toMulZeroClass.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))))))))
 but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] {s : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)}, Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))))) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))))) (OfNat.ofNat.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))))) 0 (Zero.toOfNat0.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))))) (CommMonoidWithZero.toZero.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))))) (CommSemiring.toCommMonoidWithZero.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))))) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))
+  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] {s : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)}, Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))))) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))))) (OfNat.ofNat.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))))) 0 (Zero.toOfNat0.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))))) (CommMonoidWithZero.toZero.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))))) (CommSemiring.toCommMonoidWithZero.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))))) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.monomial_zero MvPolynomial.monomial_zeroₓ'. -/
 @[simp]
 theorem monomial_zero {s : σ →₀ ℕ} : monomial s (0 : R) = 0 :=
@@ -550,7 +550,7 @@ theorem monomial_zero {s : σ →₀ ℕ} : monomial s (0 : R) = 0 :=
 lean 3 declaration is
   forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R], Eq.{max (succ u2) (succ u1)} ((fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 (OfNat.ofNat.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) 0 (OfNat.mk.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) 0 (Zero.zero.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.zero.{u2, 0} σ Nat Nat.hasZero)))))) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 (OfNat.ofNat.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) 0 (OfNat.mk.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) 0 (Zero.zero.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.zero.{u2, 0} σ Nat Nat.hasZero)))))) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (fun (_x : RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (MvPolynomial.C.{u1, u2} R σ _inst_1))
 but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R], Eq.{max (succ u2) (succ u1)} (forall (a : R), (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 (OfNat.ofNat.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) 0 (Zero.toOfNat0.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.zero.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)))))) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1))
+  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R], Eq.{max (succ u2) (succ u1)} (forall (a : R), (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 (OfNat.ofNat.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) 0 (Zero.toOfNat0.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.zero.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)))))) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.monomial_zero' MvPolynomial.monomial_zero'ₓ'. -/
 @[simp]
 theorem monomial_zero' : (monomial (0 : σ →₀ ℕ) : R → MvPolynomial σ R) = C :=
@@ -561,7 +561,7 @@ theorem monomial_zero' : (monomial (0 : σ →₀ ℕ) : R → MvPolynomial σ R
 lean 3 declaration is
   forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {s : Finsupp.{u2, 0} σ Nat Nat.hasZero} {b : R}, Iff (Eq.{max (succ u2) (succ u1)} (MvPolynomial.{u2, u1} σ R _inst_1) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 s) b) (OfNat.ofNat.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) 0 (OfNat.mk.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) 0 (Zero.zero.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MulZeroClass.toHasZero.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toMulZeroClass.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))))))))) (Eq.{succ u1} R b (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))))))
 but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] {s : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)} {b : R}, Iff (Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) b) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s) b) (OfNat.ofNat.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) b) 0 (Zero.toOfNat0.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) b) (CommMonoidWithZero.toZero.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) b) (CommSemiring.toCommMonoidWithZero.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) b) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (Eq.{succ u2} R b (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1)))))
+  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] {s : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)} {b : R}, Iff (Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) b) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s) b) (OfNat.ofNat.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) b) 0 (Zero.toOfNat0.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) b) (CommMonoidWithZero.toZero.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) b) (CommSemiring.toCommMonoidWithZero.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) b) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (Eq.{succ u2} R b (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1)))))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.monomial_eq_zero MvPolynomial.monomial_eq_zeroₓ'. -/
 @[simp]
 theorem monomial_eq_zero {s : σ →₀ ℕ} {b : R} : monomial s b = 0 ↔ b = 0 :=
@@ -572,7 +572,7 @@ theorem monomial_eq_zero {s : σ →₀ ℕ} {b : R} : monomial s b = 0 ↔ b =
 lean 3 declaration is
   forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {A : Type.{u3}} [_inst_3 : AddCommMonoid.{u3} A] {u : Finsupp.{u2, 0} σ Nat Nat.hasZero} {r : R} {b : (Finsupp.{u2, 0} σ Nat Nat.hasZero) -> R -> A}, (Eq.{succ u3} A (b u (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))))))) (OfNat.ofNat.{u3} A 0 (OfNat.mk.{u3} A 0 (Zero.zero.{u3} A (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A _inst_3))))))) -> (Eq.{succ u3} A (Finsupp.sum.{u2, u1, u3} (Finsupp.{u2, 0} σ Nat Nat.hasZero) R A (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) _inst_3 (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 u) r) b) (b u r))
 but is expected to have type
-  forall {R : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u3} R] {A : Type.{u2}} [_inst_3 : AddCommMonoid.{u2} A] {u : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)} {r : R} {b : (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) -> R -> A}, (Eq.{succ u2} A (b u (OfNat.ofNat.{u3} R 0 (Zero.toOfNat0.{u3} R (CommMonoidWithZero.toZero.{u3} R (CommSemiring.toCommMonoidWithZero.{u3} R _inst_1))))) (OfNat.ofNat.{u2} A 0 (Zero.toOfNat0.{u2} A (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A _inst_3))))) -> (Eq.{succ u2} A (Finsupp.sum.{u1, u3, u2} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R A (MonoidWithZero.toZero.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) _inst_3 (FunLike.coe.{max (succ u1) (succ u3), succ u3, max (succ u1) (succ u3)} (LinearMap.{u3, u3, u3, max u3 u1} R R (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) R (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (MvPolynomial.module.{u3, u3, u1} R R σ (CommSemiring.toSemiring.{u3} R _inst_1) _inst_1 (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u3} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u3, u3, u3, max u1 u3} R R R (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (MvPolynomial.module.{u3, u3, u1} R R σ (CommSemiring.toSemiring.{u3} R _inst_1) _inst_1 (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (MvPolynomial.monomial.{u3, u1} R σ _inst_1 u) r) b) (b u r))
+  forall {R : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u3} R] {A : Type.{u2}} [_inst_3 : AddCommMonoid.{u2} A] {u : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)} {r : R} {b : (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) -> R -> A}, (Eq.{succ u2} A (b u (OfNat.ofNat.{u3} R 0 (Zero.toOfNat0.{u3} R (CommMonoidWithZero.toZero.{u3} R (CommSemiring.toCommMonoidWithZero.{u3} R _inst_1))))) (OfNat.ofNat.{u2} A 0 (Zero.toOfNat0.{u2} A (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A _inst_3))))) -> (Eq.{succ u2} A (Finsupp.sum.{u1, u3, u2} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R A (MonoidWithZero.toZero.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) _inst_3 (FunLike.coe.{max (succ u1) (succ u3), succ u3, max (succ u1) (succ u3)} (LinearMap.{u3, u3, u3, max u3 u1} R R (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) R (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (MvPolynomial.module.{u3, u3, u1} R R σ (CommSemiring.toSemiring.{u3} R _inst_1) _inst_1 (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u3} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u3, u3, u3, max u1 u3} R R R (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (MvPolynomial.module.{u3, u3, u1} R R σ (CommSemiring.toSemiring.{u3} R _inst_1) _inst_1 (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (MvPolynomial.monomial.{u3, u1} R σ _inst_1 u) r) b) (b u r))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.sum_monomial_eq MvPolynomial.sum_monomial_eqₓ'. -/
 @[simp]
 theorem sum_monomial_eq {A : Type _} [AddCommMonoid A] {u : σ →₀ ℕ} {r : R} {b : (σ →₀ ℕ) → R → A}
@@ -596,7 +596,7 @@ theorem sum_C {A : Type _} [AddCommMonoid A] {b : (σ →₀ ℕ) → R → A} (
 lean 3 declaration is
   forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {α : Type.{u3}} (s : Finset.{u3} α) (f : α -> (Finsupp.{u2, 0} σ Nat Nat.hasZero)), Eq.{max (succ u2) (succ u1)} (MvPolynomial.{u2, u1} σ R _inst_1) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 (Finset.sum.{u2, u3} (Finsupp.{u2, 0} σ Nat Nat.hasZero) α (Finsupp.addCommMonoid.{u2, 0} σ Nat Nat.addCommMonoid) s (fun (i : α) => f i))) (OfNat.ofNat.{u1} R 1 (OfNat.mk.{u1} R 1 (One.one.{u1} R (AddMonoidWithOne.toOne.{u1} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} R (NonAssocSemiring.toAddCommMonoidWithOne.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))))))) (Finset.prod.{max u2 u1, u3} (MvPolynomial.{u2, u1} σ R _inst_1) α (CommSemiring.toCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) s (fun (i : α) => coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 (f i)) (OfNat.ofNat.{u1} R 1 (OfNat.mk.{u1} R 1 (One.one.{u1} R (AddMonoidWithOne.toOne.{u1} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} R (NonAssocSemiring.toAddCommMonoidWithOne.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))))))))
 but is expected to have type
-  forall {R : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u3} R] {α : Type.{u2}} (s : Finset.{u2} α) (f : α -> (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))), Eq.{max (succ u3) (succ u1)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u3} σ R _inst_1) (OfNat.ofNat.{u3} R 1 (One.toOfNat1.{u3} R (Semiring.toOne.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))))) (FunLike.coe.{max (succ u1) (succ u3), succ u3, max (succ u1) (succ u3)} (LinearMap.{u3, u3, u3, max u3 u1} R R (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) R (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (MvPolynomial.module.{u3, u3, u1} R R σ (CommSemiring.toSemiring.{u3} R _inst_1) _inst_1 (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u3} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u3, u3, u3, max u1 u3} R R R (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (MvPolynomial.module.{u3, u3, u1} R R σ (CommSemiring.toSemiring.{u3} R _inst_1) _inst_1 (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (MvPolynomial.monomial.{u3, u1} R σ _inst_1 (Finset.sum.{u1, u2} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) α (Finsupp.addCommMonoid.{u1, 0} σ Nat Nat.addCommMonoid) s (fun (i : α) => f i))) (OfNat.ofNat.{u3} R 1 (One.toOfNat1.{u3} R (Semiring.toOne.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))))) (Finset.prod.{max u1 u3, u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u3} σ R _inst_1) (OfNat.ofNat.{u3} R 1 (One.toOfNat1.{u3} R (Semiring.toOne.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))))) α (CommSemiring.toCommMonoid.{max u1 u3} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u3} σ R _inst_1) (OfNat.ofNat.{u3} R 1 (One.toOfNat1.{u3} R (Semiring.toOne.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))))) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) s (fun (i : α) => FunLike.coe.{max (succ u1) (succ u3), succ u3, max (succ u1) (succ u3)} (LinearMap.{u3, u3, u3, max u3 u1} R R (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) R (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (MvPolynomial.module.{u3, u3, u1} R R σ (CommSemiring.toSemiring.{u3} R _inst_1) _inst_1 (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u3} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u3, u3, u3, max u1 u3} R R R (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (MvPolynomial.module.{u3, u3, u1} R R σ (CommSemiring.toSemiring.{u3} R _inst_1) _inst_1 (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (MvPolynomial.monomial.{u3, u1} R σ _inst_1 (f i)) (OfNat.ofNat.{u3} R 1 (One.toOfNat1.{u3} R (Semiring.toOne.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))))))
+  forall {R : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u3} R] {α : Type.{u2}} (s : Finset.{u2} α) (f : α -> (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))), Eq.{max (succ u3) (succ u1)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u3} σ R _inst_1) (OfNat.ofNat.{u3} R 1 (One.toOfNat1.{u3} R (Semiring.toOne.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))))) (FunLike.coe.{max (succ u1) (succ u3), succ u3, max (succ u1) (succ u3)} (LinearMap.{u3, u3, u3, max u3 u1} R R (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) R (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (MvPolynomial.module.{u3, u3, u1} R R σ (CommSemiring.toSemiring.{u3} R _inst_1) _inst_1 (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u3} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u3, u3, u3, max u1 u3} R R R (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (MvPolynomial.module.{u3, u3, u1} R R σ (CommSemiring.toSemiring.{u3} R _inst_1) _inst_1 (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (MvPolynomial.monomial.{u3, u1} R σ _inst_1 (Finset.sum.{u1, u2} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) α (Finsupp.addCommMonoid.{u1, 0} σ Nat Nat.addCommMonoid) s (fun (i : α) => f i))) (OfNat.ofNat.{u3} R 1 (One.toOfNat1.{u3} R (Semiring.toOne.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))))) (Finset.prod.{max u1 u3, u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u3} σ R _inst_1) (OfNat.ofNat.{u3} R 1 (One.toOfNat1.{u3} R (Semiring.toOne.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))))) α (CommSemiring.toCommMonoid.{max u1 u3} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u3} σ R _inst_1) (OfNat.ofNat.{u3} R 1 (One.toOfNat1.{u3} R (Semiring.toOne.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))))) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) s (fun (i : α) => FunLike.coe.{max (succ u1) (succ u3), succ u3, max (succ u1) (succ u3)} (LinearMap.{u3, u3, u3, max u3 u1} R R (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) R (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (MvPolynomial.module.{u3, u3, u1} R R σ (CommSemiring.toSemiring.{u3} R _inst_1) _inst_1 (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u3} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u3, u3, u3, max u1 u3} R R R (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (MvPolynomial.module.{u3, u3, u1} R R σ (CommSemiring.toSemiring.{u3} R _inst_1) _inst_1 (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (MvPolynomial.monomial.{u3, u1} R σ _inst_1 (f i)) (OfNat.ofNat.{u3} R 1 (One.toOfNat1.{u3} R (Semiring.toOne.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))))))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.monomial_sum_one MvPolynomial.monomial_sum_oneₓ'. -/
 theorem monomial_sum_one {α : Type _} (s : Finset α) (f : α → σ →₀ ℕ) :
     (monomial (∑ i in s, f i) 1 : MvPolynomial σ R) = ∏ i in s, monomial (f i) 1 :=
@@ -607,7 +607,7 @@ theorem monomial_sum_one {α : Type _} (s : Finset α) (f : α → σ →₀ ℕ
 lean 3 declaration is
   forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {α : Type.{u3}} (s : Finset.{u3} α) (f : α -> (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (a : R), Eq.{max (succ u2) (succ u1)} (MvPolynomial.{u2, u1} σ R _inst_1) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 (Finset.sum.{u2, u3} (Finsupp.{u2, 0} σ Nat Nat.hasZero) α (Finsupp.addCommMonoid.{u2, 0} σ Nat Nat.addCommMonoid) s (fun (i : α) => f i))) a) (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Distrib.toHasMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (fun (_x : RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (MvPolynomial.C.{u1, u2} R σ _inst_1) a) (Finset.prod.{max u2 u1, u3} (MvPolynomial.{u2, u1} σ R _inst_1) α (CommSemiring.toCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) s (fun (i : α) => coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 (f i)) (OfNat.ofNat.{u1} R 1 (OfNat.mk.{u1} R 1 (One.one.{u1} R (AddMonoidWithOne.toOne.{u1} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} R (NonAssocSemiring.toAddCommMonoidWithOne.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))))))))
 but is expected to have type
-  forall {R : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u3} R] {α : Type.{u2}} (s : Finset.{u2} α) (f : α -> (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (a : R), Eq.{max (succ u3) (succ u1)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u3} σ R _inst_1) a) (FunLike.coe.{max (succ u1) (succ u3), succ u3, max (succ u1) (succ u3)} (LinearMap.{u3, u3, u3, max u3 u1} R R (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) R (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (MvPolynomial.module.{u3, u3, u1} R R σ (CommSemiring.toSemiring.{u3} R _inst_1) _inst_1 (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u3} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u3, u3, u3, max u1 u3} R R R (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (MvPolynomial.module.{u3, u3, u1} R R σ (CommSemiring.toSemiring.{u3} R _inst_1) _inst_1 (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (MvPolynomial.monomial.{u3, u1} R σ _inst_1 (Finset.sum.{u1, u2} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) α (Finsupp.addCommMonoid.{u1, 0} σ Nat Nat.addCommMonoid) s (fun (i : α) => f i))) a) (HMul.hMul.{max u3 u1, max u1 u3, max u3 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u3} σ R _inst_1) a) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u3} σ R _inst_1) (OfNat.ofNat.{u3} R 1 (One.toOfNat1.{u3} R (Semiring.toOne.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))))) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u3} σ R _inst_1) a) (instHMul.{max u3 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u3} σ R _inst_1) a) (NonUnitalNonAssocSemiring.toMul.{max u3 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u3} σ R _inst_1) a) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u3} σ R _inst_1) a) (Semiring.toNonAssocSemiring.{max u3 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u3} σ R _inst_1) a) (CommSemiring.toSemiring.{max u3 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u3} σ R _inst_1) a) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))))) (FunLike.coe.{max (succ u1) (succ u3), succ u3, max (succ u1) (succ u3)} (RingHom.{u3, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u3} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u3, u3, max u1 u3} (RingHom.{u3, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u3, u3, max u1 u3} (RingHom.{u3, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u3, u3, max u1 u3} (RingHom.{u3, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))))) (MvPolynomial.C.{u3, u1} R σ _inst_1) a) (Finset.prod.{max u1 u3, u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u3} σ R _inst_1) (OfNat.ofNat.{u3} R 1 (One.toOfNat1.{u3} R (Semiring.toOne.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))))) α (CommSemiring.toCommMonoid.{max u1 u3} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u3} σ R _inst_1) (OfNat.ofNat.{u3} R 1 (One.toOfNat1.{u3} R (Semiring.toOne.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))))) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) s (fun (i : α) => FunLike.coe.{max (succ u1) (succ u3), succ u3, max (succ u1) (succ u3)} (LinearMap.{u3, u3, u3, max u3 u1} R R (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) R (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (MvPolynomial.module.{u3, u3, u1} R R σ (CommSemiring.toSemiring.{u3} R _inst_1) _inst_1 (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u3} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u3, u3, u3, max u1 u3} R R R (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (MvPolynomial.module.{u3, u3, u1} R R σ (CommSemiring.toSemiring.{u3} R _inst_1) _inst_1 (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (MvPolynomial.monomial.{u3, u1} R σ _inst_1 (f i)) (OfNat.ofNat.{u3} R 1 (One.toOfNat1.{u3} R (Semiring.toOne.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))))))
+  forall {R : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u3} R] {α : Type.{u2}} (s : Finset.{u2} α) (f : α -> (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (a : R), Eq.{max (succ u3) (succ u1)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u3} σ R _inst_1) a) (FunLike.coe.{max (succ u1) (succ u3), succ u3, max (succ u1) (succ u3)} (LinearMap.{u3, u3, u3, max u3 u1} R R (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) R (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (MvPolynomial.module.{u3, u3, u1} R R σ (CommSemiring.toSemiring.{u3} R _inst_1) _inst_1 (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u3} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u3, u3, u3, max u1 u3} R R R (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (MvPolynomial.module.{u3, u3, u1} R R σ (CommSemiring.toSemiring.{u3} R _inst_1) _inst_1 (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (MvPolynomial.monomial.{u3, u1} R σ _inst_1 (Finset.sum.{u1, u2} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) α (Finsupp.addCommMonoid.{u1, 0} σ Nat Nat.addCommMonoid) s (fun (i : α) => f i))) a) (HMul.hMul.{max u3 u1, max u1 u3, max u3 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u3} σ R _inst_1) a) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u3} σ R _inst_1) (OfNat.ofNat.{u3} R 1 (One.toOfNat1.{u3} R (Semiring.toOne.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))))) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u3} σ R _inst_1) a) (instHMul.{max u3 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u3} σ R _inst_1) a) (NonUnitalNonAssocSemiring.toMul.{max u3 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u3} σ R _inst_1) a) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u3} σ R _inst_1) a) (Semiring.toNonAssocSemiring.{max u3 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u3} σ R _inst_1) a) (CommSemiring.toSemiring.{max u3 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u3} σ R _inst_1) a) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))))) (FunLike.coe.{max (succ u1) (succ u3), succ u3, max (succ u1) (succ u3)} (RingHom.{u3, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u3} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u3, u3, max u1 u3} (RingHom.{u3, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u3, u3, max u1 u3} (RingHom.{u3, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u3, u3, max u1 u3} (RingHom.{u3, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))))) (MvPolynomial.C.{u3, u1} R σ _inst_1) a) (Finset.prod.{max u1 u3, u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u3} σ R _inst_1) (OfNat.ofNat.{u3} R 1 (One.toOfNat1.{u3} R (Semiring.toOne.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))))) α (CommSemiring.toCommMonoid.{max u1 u3} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u3} σ R _inst_1) (OfNat.ofNat.{u3} R 1 (One.toOfNat1.{u3} R (Semiring.toOne.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))))) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) s (fun (i : α) => FunLike.coe.{max (succ u1) (succ u3), succ u3, max (succ u1) (succ u3)} (LinearMap.{u3, u3, u3, max u3 u1} R R (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) R (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (MvPolynomial.module.{u3, u3, u1} R R σ (CommSemiring.toSemiring.{u3} R _inst_1) _inst_1 (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u3} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u3, u3, u3, max u1 u3} R R R (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (MvPolynomial.module.{u3, u3, u1} R R σ (CommSemiring.toSemiring.{u3} R _inst_1) _inst_1 (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (MvPolynomial.monomial.{u3, u1} R σ _inst_1 (f i)) (OfNat.ofNat.{u3} R 1 (One.toOfNat1.{u3} R (Semiring.toOne.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))))))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.monomial_sum_index MvPolynomial.monomial_sum_indexₓ'. -/
 theorem monomial_sum_index {α : Type _} (s : Finset α) (f : α → σ →₀ ℕ) (a : R) :
     monomial (∑ i in s, f i) a = C a * ∏ i in s, monomial (f i) 1 := by
@@ -618,7 +618,7 @@ theorem monomial_sum_index {α : Type _} (s : Finset α) (f : α → σ →₀ 
 lean 3 declaration is
   forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {α : Type.{u3}} {β : Type.{u4}} [_inst_3 : Zero.{u4} β] (f : Finsupp.{u3, u4} α β _inst_3) (g : α -> β -> (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (a : R), Eq.{max (succ u2) (succ u1)} (MvPolynomial.{u2, u1} σ R _inst_1) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 (Finsupp.sum.{u3, u4, u2} α β (Finsupp.{u2, 0} σ Nat Nat.hasZero) _inst_3 (Finsupp.addCommMonoid.{u2, 0} σ Nat Nat.addCommMonoid) f g)) a) (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Distrib.toHasMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (fun (_x : RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (MvPolynomial.C.{u1, u2} R σ _inst_1) a) (Finsupp.prod.{u3, u4, max u2 u1} α β (MvPolynomial.{u2, u1} σ R _inst_1) _inst_3 (CommSemiring.toCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) f (fun (a : α) (b : β) => coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 (g a b)) (OfNat.ofNat.{u1} R 1 (OfNat.mk.{u1} R 1 (One.one.{u1} R (AddMonoidWithOne.toOne.{u1} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} R (NonAssocSemiring.toAddCommMonoidWithOne.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))))))))
 but is expected to have type
-  forall {R : Type.{u4}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u4} R] {α : Type.{u3}} {β : Type.{u2}} [_inst_3 : Zero.{u2} β] (f : Finsupp.{u3, u2} α β _inst_3) (g : α -> β -> (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (a : R), Eq.{max (succ u4) (succ u1)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u4} σ R _inst_1) a) (FunLike.coe.{max (succ u1) (succ u4), succ u4, max (succ u1) (succ u4)} (LinearMap.{u4, u4, u4, max u4 u1} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) R (MvPolynomial.{u1, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u1} R σ _inst_1))))) (Semiring.toModule.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (MvPolynomial.module.{u4, u4, u1} R R σ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_1 (Semiring.toModule.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u4} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u4, u4, u4, max u1 u4} R R R (MvPolynomial.{u1, u4} σ R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u1} R σ _inst_1))))) (Semiring.toModule.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (MvPolynomial.module.{u4, u4, u1} R R σ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_1 (Semiring.toModule.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (MvPolynomial.monomial.{u4, u1} R σ _inst_1 (Finsupp.sum.{u3, u2, u1} α β (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) _inst_3 (Finsupp.addCommMonoid.{u1, 0} σ Nat Nat.addCommMonoid) f g)) a) (HMul.hMul.{max u4 u1, max u1 u4, max u4 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u4} σ R _inst_1) a) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u4} σ R _inst_1) (OfNat.ofNat.{u4} R 1 (One.toOfNat1.{u4} R (Semiring.toOne.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))))) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u4} σ R _inst_1) a) (instHMul.{max u4 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u4} σ R _inst_1) a) (NonUnitalNonAssocSemiring.toMul.{max u4 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u4} σ R _inst_1) a) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u4} σ R _inst_1) a) (Semiring.toNonAssocSemiring.{max u4 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u4} σ R _inst_1) a) (CommSemiring.toSemiring.{max u4 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u4} σ R _inst_1) a) (MvPolynomial.commSemiring.{u4, u1} R σ _inst_1)))))) (FunLike.coe.{max (succ u1) (succ u4), succ u4, max (succ u1) (succ u4)} (RingHom.{u4, max u4 u1} R (MvPolynomial.{u1, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u4} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u4, u4, max u1 u4} (RingHom.{u4, max u4 u1} R (MvPolynomial.{u1, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u4} (MvPolynomial.{u1, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u4} (MvPolynomial.{u1, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u4, u4, max u1 u4} (RingHom.{u4, max u4 u1} R (MvPolynomial.{u1, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u4} (MvPolynomial.{u1, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u4, u4, max u1 u4} (RingHom.{u4, max u4 u1} R (MvPolynomial.{u1, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u4, max u1 u4} R (MvPolynomial.{u1, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u1} R σ _inst_1))))))) (MvPolynomial.C.{u4, u1} R σ _inst_1) a) (Finsupp.prod.{u3, u2, max u1 u4} α β ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u4} σ R _inst_1) (OfNat.ofNat.{u4} R 1 (One.toOfNat1.{u4} R (Semiring.toOne.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))))) _inst_3 (CommSemiring.toCommMonoid.{max u1 u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u4} σ R _inst_1) (OfNat.ofNat.{u4} R 1 (One.toOfNat1.{u4} R (Semiring.toOne.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))))) (MvPolynomial.commSemiring.{u4, u1} R σ _inst_1)) f (fun (a : α) (b : β) => FunLike.coe.{max (succ u1) (succ u4), succ u4, max (succ u1) (succ u4)} (LinearMap.{u4, u4, u4, max u4 u1} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) R (MvPolynomial.{u1, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u1} R σ _inst_1))))) (Semiring.toModule.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (MvPolynomial.module.{u4, u4, u1} R R σ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_1 (Semiring.toModule.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u4} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u4, u4, u4, max u1 u4} R R R (MvPolynomial.{u1, u4} σ R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u1} R σ _inst_1))))) (Semiring.toModule.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (MvPolynomial.module.{u4, u4, u1} R R σ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_1 (Semiring.toModule.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (MvPolynomial.monomial.{u4, u1} R σ _inst_1 (g a b)) (OfNat.ofNat.{u4} R 1 (One.toOfNat1.{u4} R (Semiring.toOne.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))))))
+  forall {R : Type.{u4}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u4} R] {α : Type.{u3}} {β : Type.{u2}} [_inst_3 : Zero.{u2} β] (f : Finsupp.{u3, u2} α β _inst_3) (g : α -> β -> (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (a : R), Eq.{max (succ u4) (succ u1)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u4} σ R _inst_1) a) (FunLike.coe.{max (succ u1) (succ u4), succ u4, max (succ u1) (succ u4)} (LinearMap.{u4, u4, u4, max u4 u1} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) R (MvPolynomial.{u1, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u1} R σ _inst_1))))) (Semiring.toModule.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (MvPolynomial.module.{u4, u4, u1} R R σ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_1 (Semiring.toModule.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u4} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u4, u4, u4, max u1 u4} R R R (MvPolynomial.{u1, u4} σ R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u1} R σ _inst_1))))) (Semiring.toModule.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (MvPolynomial.module.{u4, u4, u1} R R σ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_1 (Semiring.toModule.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (MvPolynomial.monomial.{u4, u1} R σ _inst_1 (Finsupp.sum.{u3, u2, u1} α β (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) _inst_3 (Finsupp.addCommMonoid.{u1, 0} σ Nat Nat.addCommMonoid) f g)) a) (HMul.hMul.{max u4 u1, max u1 u4, max u4 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u4} σ R _inst_1) a) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u4} σ R _inst_1) (OfNat.ofNat.{u4} R 1 (One.toOfNat1.{u4} R (Semiring.toOne.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))))) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u4} σ R _inst_1) a) (instHMul.{max u4 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u4} σ R _inst_1) a) (NonUnitalNonAssocSemiring.toMul.{max u4 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u4} σ R _inst_1) a) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u4} σ R _inst_1) a) (Semiring.toNonAssocSemiring.{max u4 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u4} σ R _inst_1) a) (CommSemiring.toSemiring.{max u4 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u4} σ R _inst_1) a) (MvPolynomial.commSemiring.{u4, u1} R σ _inst_1)))))) (FunLike.coe.{max (succ u1) (succ u4), succ u4, max (succ u1) (succ u4)} (RingHom.{u4, max u4 u1} R (MvPolynomial.{u1, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u4} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u4, u4, max u1 u4} (RingHom.{u4, max u4 u1} R (MvPolynomial.{u1, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u4} (MvPolynomial.{u1, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u4} (MvPolynomial.{u1, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u4, u4, max u1 u4} (RingHom.{u4, max u4 u1} R (MvPolynomial.{u1, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u4} (MvPolynomial.{u1, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u4, u4, max u1 u4} (RingHom.{u4, max u4 u1} R (MvPolynomial.{u1, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u4, max u1 u4} R (MvPolynomial.{u1, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u1} R σ _inst_1))))))) (MvPolynomial.C.{u4, u1} R σ _inst_1) a) (Finsupp.prod.{u3, u2, max u1 u4} α β ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u4} σ R _inst_1) (OfNat.ofNat.{u4} R 1 (One.toOfNat1.{u4} R (Semiring.toOne.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))))) _inst_3 (CommSemiring.toCommMonoid.{max u1 u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u4} σ R _inst_1) (OfNat.ofNat.{u4} R 1 (One.toOfNat1.{u4} R (Semiring.toOne.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))))) (MvPolynomial.commSemiring.{u4, u1} R σ _inst_1)) f (fun (a : α) (b : β) => FunLike.coe.{max (succ u1) (succ u4), succ u4, max (succ u1) (succ u4)} (LinearMap.{u4, u4, u4, max u4 u1} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) R (MvPolynomial.{u1, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u1} R σ _inst_1))))) (Semiring.toModule.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (MvPolynomial.module.{u4, u4, u1} R R σ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_1 (Semiring.toModule.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u4} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u4, u4, u4, max u1 u4} R R R (MvPolynomial.{u1, u4} σ R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u1} R σ _inst_1))))) (Semiring.toModule.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (MvPolynomial.module.{u4, u4, u1} R R σ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_1 (Semiring.toModule.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (MvPolynomial.monomial.{u4, u1} R σ _inst_1 (g a b)) (OfNat.ofNat.{u4} R 1 (One.toOfNat1.{u4} R (Semiring.toOne.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))))))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.monomial_finsupp_sum_index MvPolynomial.monomial_finsupp_sum_indexₓ'. -/
 theorem monomial_finsupp_sum_index {α β : Type _} [Zero β] (f : α →₀ β) (g : α → β → σ →₀ ℕ)
     (a : R) : monomial (f.Sum g) a = C a * f.Prod fun a b => monomial (g a b) 1 :=
@@ -629,7 +629,7 @@ theorem monomial_finsupp_sum_index {α β : Type _} [Zero β] (f : α →₀ β)
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : CommSemiring.{u1} R] {α : Type.{u2}} (a₁ : Finsupp.{u2, 0} α Nat Nat.hasZero) (a₂ : Finsupp.{u2, 0} α Nat Nat.hasZero) (b₁ : R) (b₂ : R), Iff (Eq.{max (succ u2) (succ u1)} (MvPolynomial.{u2, u1} α R _inst_1) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} α R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} α R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} α R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} α R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} α R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R α _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R α (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} α R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} α R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} α R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} α R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} α R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R α _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R α (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} α R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} α R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} α R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} α R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} α R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} α R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R α _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R α (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R α _inst_1 a₁) b₁) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} α R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} α R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} α R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} α R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} α R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R α _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R α (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} α R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} α R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} α R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} α R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} α R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R α _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R α (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} α R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} α R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} α R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} α R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} α R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} α R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R α _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R α (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R α _inst_1 a₂) b₂)) (Or (And (Eq.{succ u2} (Finsupp.{u2, 0} α Nat Nat.hasZero) a₁ a₂) (Eq.{succ u1} R b₁ b₂)) (And (Eq.{succ u1} R b₁ (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))))))) (Eq.{succ u1} R b₂ (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))))))))
 but is expected to have type
-  forall {R : Type.{u2}} [_inst_1 : CommSemiring.{u2} R] {α : Type.{u1}} (a₁ : Finsupp.{u1, 0} α Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (a₂ : Finsupp.{u1, 0} α Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (b₁ : R) (b₂ : R), Iff (Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} α R _inst_1) b₁) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} α R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} α R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} α R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} α R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} α R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R α _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R α (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} α R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} α R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} α R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} α R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} α R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} α R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R α _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R α (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R α _inst_1 a₁) b₁) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} α R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} α R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} α R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} α R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} α R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R α _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R α (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} α R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} α R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} α R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} α R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} α R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} α R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R α _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R α (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R α _inst_1 a₂) b₂)) (Or (And (Eq.{succ u1} (Finsupp.{u1, 0} α Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) a₁ a₂) (Eq.{succ u2} R b₁ b₂)) (And (Eq.{succ u2} R b₁ (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))))) (Eq.{succ u2} R b₂ (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1)))))))
+  forall {R : Type.{u2}} [_inst_1 : CommSemiring.{u2} R] {α : Type.{u1}} (a₁ : Finsupp.{u1, 0} α Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (a₂ : Finsupp.{u1, 0} α Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (b₁ : R) (b₂ : R), Iff (Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} α R _inst_1) b₁) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} α R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} α R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} α R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} α R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} α R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R α _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R α (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} α R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} α R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} α R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} α R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} α R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} α R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R α _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R α (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R α _inst_1 a₁) b₁) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} α R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} α R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} α R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} α R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} α R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R α _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R α (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} α R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} α R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} α R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} α R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} α R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} α R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R α _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R α (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R α _inst_1 a₂) b₂)) (Or (And (Eq.{succ u1} (Finsupp.{u1, 0} α Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) a₁ a₂) (Eq.{succ u2} R b₁ b₂)) (And (Eq.{succ u2} R b₁ (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))))) (Eq.{succ u2} R b₂ (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1)))))))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.monomial_eq_monomial_iff MvPolynomial.monomial_eq_monomial_iffₓ'. -/
 theorem monomial_eq_monomial_iff {α : Type _} (a₁ a₂ : α →₀ ℕ) (b₁ b₂ : R) :
     monomial a₁ b₁ = monomial a₂ b₂ ↔ a₁ = a₂ ∧ b₁ = b₂ ∨ b₁ = 0 ∧ b₂ = 0 :=
@@ -640,7 +640,7 @@ theorem monomial_eq_monomial_iff {α : Type _} (a₁ a₂ : α →₀ ℕ) (b₁
 lean 3 declaration is
   forall {R : Type.{u1}} {σ : Type.{u2}} {a : R} {s : Finsupp.{u2, 0} σ Nat Nat.hasZero} [_inst_1 : CommSemiring.{u1} R], Eq.{max (succ u2) (succ u1)} (MvPolynomial.{u2, u1} σ R _inst_1) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 s) a) (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Distrib.toHasMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (fun (_x : RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (MvPolynomial.C.{u1, u2} R σ _inst_1) a) (Finsupp.prod.{u2, 0, max u2 u1} σ Nat (MvPolynomial.{u2, u1} σ R _inst_1) Nat.hasZero (CommSemiring.toCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) s (fun (n : σ) (e : Nat) => HPow.hPow.{max u2 u1, 0, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) Nat (MvPolynomial.{u2, u1} σ R _inst_1) (instHPow.{max u2 u1, 0} (MvPolynomial.{u2, u1} σ R _inst_1) Nat (Monoid.Pow.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MonoidWithZero.toMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toMonoidWithZero.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))))) (MvPolynomial.X.{u1, u2} R σ _inst_1 n) e)))
 but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} {a : R} {s : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)} [_inst_1 : CommSemiring.{u2} R], Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s) a) (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (MvPolynomial.{u1, u2} σ R _inst_1) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (instHMul.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (Semiring.toNonAssocSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (CommSemiring.toSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) a) (Finsupp.prod.{u1, 0, max u2 u1} σ Nat (MvPolynomial.{u1, u2} σ R _inst_1) (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) (CommSemiring.toCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) s (fun (n : σ) (e : Nat) => HPow.hPow.{max u1 u2, 0, max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) Nat (MvPolynomial.{u1, u2} σ R _inst_1) (instHPow.{max u1 u2, 0} (MvPolynomial.{u1, u2} σ R _inst_1) Nat (Monoid.Pow.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MonoidWithZero.toMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toMonoidWithZero.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (MvPolynomial.X.{u2, u1} R σ _inst_1 n) e)))
+  forall {R : Type.{u2}} {σ : Type.{u1}} {a : R} {s : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)} [_inst_1 : CommSemiring.{u2} R], Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s) a) (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (MvPolynomial.{u1, u2} σ R _inst_1) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (instHMul.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (Semiring.toNonAssocSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (CommSemiring.toSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) a) (Finsupp.prod.{u1, 0, max u2 u1} σ Nat (MvPolynomial.{u1, u2} σ R _inst_1) (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) (CommSemiring.toCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) s (fun (n : σ) (e : Nat) => HPow.hPow.{max u1 u2, 0, max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) Nat (MvPolynomial.{u1, u2} σ R _inst_1) (instHPow.{max u1 u2, 0} (MvPolynomial.{u1, u2} σ R _inst_1) Nat (Monoid.Pow.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MonoidWithZero.toMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toMonoidWithZero.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (MvPolynomial.X.{u2, u1} R σ _inst_1 n) e)))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.monomial_eq MvPolynomial.monomial_eqₓ'. -/
 theorem monomial_eq : monomial s a = C a * (s.Prod fun n e => X n ^ e : MvPolynomial σ R) := by
   simp only [X_pow_eq_monomial, ← monomial_finsupp_sum_index, Finsupp.sum_single]
@@ -650,7 +650,7 @@ theorem monomial_eq : monomial s a = C a * (s.Prod fun n e => X n ^ e : MvPolyno
 lean 3 declaration is
   forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {M : (MvPolynomial.{u2, u1} σ R _inst_1) -> Prop}, (forall (a : R), M (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (fun (_x : RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (MvPolynomial.C.{u1, u2} R σ _inst_1) a)) -> (forall (p : MvPolynomial.{u2, u1} σ R _inst_1) (n : σ), (M p) -> (M (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Distrib.toHasMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))) p (MvPolynomial.X.{u1, u2} R σ _inst_1 n)))) -> (forall (s : Finsupp.{u2, 0} σ Nat Nat.hasZero) (a : R), M (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 s) a))
 but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] {M : (MvPolynomial.{u1, u2} σ R _inst_1) -> Prop}, (forall (a : R), M (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) a)) -> (forall (p : MvPolynomial.{u1, u2} σ R _inst_1) (n : σ), (M p) -> (M (HMul.hMul.{max u2 u1, max u1 u2, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) p (MvPolynomial.X.{u2, u1} R σ _inst_1 n)))) -> (forall (s : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (a : R), M (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s) a))
+  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] {M : (MvPolynomial.{u1, u2} σ R _inst_1) -> Prop}, (forall (a : R), M (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) a)) -> (forall (p : MvPolynomial.{u1, u2} σ R _inst_1) (n : σ), (M p) -> (M (HMul.hMul.{max u2 u1, max u1 u2, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) p (MvPolynomial.X.{u2, u1} R σ _inst_1 n)))) -> (forall (s : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (a : R), M (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s) a))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.induction_on_monomial MvPolynomial.induction_on_monomialₓ'. -/
 theorem induction_on_monomial {M : MvPolynomial σ R → Prop} (h_C : ∀ a, M (C a))
     (h_X : ∀ p n, M p → M (p * X n)) : ∀ s a, M (monomial s a) :=
@@ -673,7 +673,7 @@ theorem induction_on_monomial {M : MvPolynomial σ R → Prop} (h_C : ∀ a, M (
 lean 3 declaration is
   forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {P : (MvPolynomial.{u2, u1} σ R _inst_1) -> Prop} (p : MvPolynomial.{u2, u1} σ R _inst_1), (forall (u : Finsupp.{u2, 0} σ Nat Nat.hasZero) (a : R), P (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 u) a)) -> (forall (p : MvPolynomial.{u2, u1} σ R _inst_1) (q : MvPolynomial.{u2, u1} σ R _inst_1), (P p) -> (P q) -> (P (HAdd.hAdd.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (instHAdd.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Distrib.toHasAdd.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))) p q))) -> (P p)
 but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] {P : (MvPolynomial.{u1, u2} σ R _inst_1) -> Prop} (p : MvPolynomial.{u1, u2} σ R _inst_1), (forall (u : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (a : R), P (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 u) a)) -> (forall (p : MvPolynomial.{u1, u2} σ R _inst_1) (q : MvPolynomial.{u1, u2} σ R _inst_1), (P p) -> (P q) -> (P (HAdd.hAdd.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (instHAdd.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Distrib.toAdd.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) p q))) -> (P p)
+  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] {P : (MvPolynomial.{u1, u2} σ R _inst_1) -> Prop} (p : MvPolynomial.{u1, u2} σ R _inst_1), (forall (u : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (a : R), P (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 u) a)) -> (forall (p : MvPolynomial.{u1, u2} σ R _inst_1) (q : MvPolynomial.{u1, u2} σ R _inst_1), (P p) -> (P q) -> (P (HAdd.hAdd.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (instHAdd.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Distrib.toAdd.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) p q))) -> (P p)
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.induction_on' MvPolynomial.induction_on'ₓ'. -/
 /-- Analog of `polynomial.induction_on'`.
 To prove something about mv_polynomials,
@@ -693,7 +693,7 @@ theorem induction_on' {P : MvPolynomial σ R → Prop} (p : MvPolynomial σ R)
 lean 3 declaration is
   forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {M : (MvPolynomial.{u2, u1} σ R _inst_1) -> Prop} (p : MvPolynomial.{u2, u1} σ R _inst_1), (forall (a : R), M (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (fun (_x : RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (MvPolynomial.C.{u1, u2} R σ _inst_1) a)) -> (forall (a : Finsupp.{u2, 0} σ Nat Nat.hasZero) (b : R) (f : Finsupp.{u2, u1} (Finsupp.{u2, 0} σ Nat Nat.hasZero) R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))), (Not (Membership.Mem.{u2, u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finset.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (Finset.hasMem.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) a (Finsupp.support.{u2, u1} (Finsupp.{u2, 0} σ Nat Nat.hasZero) R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) f))) -> (Ne.{succ u1} R b (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))))))) -> (M f) -> (M (HAdd.hAdd.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (instHAdd.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Distrib.toHasAdd.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 a) b) f))) -> (M p)
 but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] {M : (MvPolynomial.{u1, u2} σ R _inst_1) -> Prop} (p : MvPolynomial.{u1, u2} σ R _inst_1), (forall (a : R), M (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) a)) -> (forall (a : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (b : R) (f : Finsupp.{u1, u2} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))), (Not (Membership.mem.{u1, u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (Finset.instMembershipFinset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) a (Finsupp.support.{u1, u2} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1)) f))) -> (Ne.{succ u2} R b (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))))) -> (M f) -> (M (HAdd.hAdd.{max u2 u1, max u2 u1, max u2 u1} (Finsupp.{u1, u2} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))) (Finsupp.{u1, u2} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))) (Finsupp.{u1, u2} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))) (instHAdd.{max u2 u1} (Finsupp.{u1, u2} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))) (Finsupp.add.{u1, u2} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (AddMonoid.toAddZeroClass.{u2} R (AddMonoidWithOne.toAddMonoid.{u2} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u2} R (NonAssocSemiring.toAddCommMonoidWithOne.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))))))) ([mdata let_fun:1 (fun (this : Finsupp.{u1, u2} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))) => this) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (a : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 a) b)]) f))) -> (M p)
+  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] {M : (MvPolynomial.{u1, u2} σ R _inst_1) -> Prop} (p : MvPolynomial.{u1, u2} σ R _inst_1), (forall (a : R), M (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) a)) -> (forall (a : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (b : R) (f : Finsupp.{u1, u2} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))), (Not (Membership.mem.{u1, u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (Finset.instMembershipFinset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) a (Finsupp.support.{u1, u2} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1)) f))) -> (Ne.{succ u2} R b (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))))) -> (M f) -> (M (HAdd.hAdd.{max u2 u1, max u2 u1, max u2 u1} (Finsupp.{u1, u2} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))) (Finsupp.{u1, u2} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))) (Finsupp.{u1, u2} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))) (instHAdd.{max u2 u1} (Finsupp.{u1, u2} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))) (Finsupp.add.{u1, u2} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (AddMonoid.toAddZeroClass.{u2} R (AddMonoidWithOne.toAddMonoid.{u2} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u2} R (NonAssocSemiring.toAddCommMonoidWithOne.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))))))) ([mdata let_fun:1 (fun (this : Finsupp.{u1, u2} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))) => this) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (a : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 a) b)]) f))) -> (M p)
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.induction_on''' MvPolynomial.induction_on'''ₓ'. -/
 /-- Similar to `mv_polynomial.induction_on` but only a weak form of `h_add` is required.-/
 theorem induction_on''' {M : MvPolynomial σ R → Prop} (p : MvPolynomial σ R) (h_C : ∀ a, M (C a))
@@ -708,7 +708,7 @@ theorem induction_on''' {M : MvPolynomial σ R → Prop} (p : MvPolynomial σ R)
 lean 3 declaration is
   forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {M : (MvPolynomial.{u2, u1} σ R _inst_1) -> Prop} (p : MvPolynomial.{u2, u1} σ R _inst_1), (forall (a : R), M (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (fun (_x : RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (MvPolynomial.C.{u1, u2} R σ _inst_1) a)) -> (forall (a : Finsupp.{u2, 0} σ Nat Nat.hasZero) (b : R) (f : Finsupp.{u2, u1} (Finsupp.{u2, 0} σ Nat Nat.hasZero) R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))), (Not (Membership.Mem.{u2, u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finset.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (Finset.hasMem.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) a (Finsupp.support.{u2, u1} (Finsupp.{u2, 0} σ Nat Nat.hasZero) R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) f))) -> (Ne.{succ u1} R b (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))))))) -> (M f) -> (M (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 a) b)) -> (M (HAdd.hAdd.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (instHAdd.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Distrib.toHasAdd.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 a) b) f))) -> (forall (p : MvPolynomial.{u2, u1} σ R _inst_1) (n : σ), (M p) -> (M (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Distrib.toHasMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))) p (MvPolynomial.X.{u1, u2} R σ _inst_1 n)))) -> (M p)
 but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] {M : (MvPolynomial.{u1, u2} σ R _inst_1) -> Prop} (p : MvPolynomial.{u1, u2} σ R _inst_1), (forall (a : R), M (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) a)) -> (forall (a : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (b : R) (f : Finsupp.{u1, u2} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))), (Not (Membership.mem.{u1, u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (Finset.instMembershipFinset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) a (Finsupp.support.{u1, u2} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1)) f))) -> (Ne.{succ u2} R b (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))))) -> (M f) -> (M (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 a) b)) -> (M (HAdd.hAdd.{max u2 u1, max u2 u1, max u2 u1} (Finsupp.{u1, u2} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))) (Finsupp.{u1, u2} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))) (Finsupp.{u1, u2} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))) (instHAdd.{max u2 u1} (Finsupp.{u1, u2} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))) (Finsupp.add.{u1, u2} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (AddMonoid.toAddZeroClass.{u2} R (AddMonoidWithOne.toAddMonoid.{u2} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u2} R (NonAssocSemiring.toAddCommMonoidWithOne.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))))))) ([mdata let_fun:1 (fun (this : Finsupp.{u1, u2} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))) => this) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (a : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 a) b)]) f))) -> (forall (p : MvPolynomial.{u1, u2} σ R _inst_1) (n : σ), (M p) -> (M (HMul.hMul.{max u2 u1, max u1 u2, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) p (MvPolynomial.X.{u2, u1} R σ _inst_1 n)))) -> (M p)
+  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] {M : (MvPolynomial.{u1, u2} σ R _inst_1) -> Prop} (p : MvPolynomial.{u1, u2} σ R _inst_1), (forall (a : R), M (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) a)) -> (forall (a : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (b : R) (f : Finsupp.{u1, u2} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))), (Not (Membership.mem.{u1, u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (Finset.instMembershipFinset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) a (Finsupp.support.{u1, u2} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1)) f))) -> (Ne.{succ u2} R b (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))))) -> (M f) -> (M (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 a) b)) -> (M (HAdd.hAdd.{max u2 u1, max u2 u1, max u2 u1} (Finsupp.{u1, u2} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))) (Finsupp.{u1, u2} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))) (Finsupp.{u1, u2} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))) (instHAdd.{max u2 u1} (Finsupp.{u1, u2} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))) (Finsupp.add.{u1, u2} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (AddMonoid.toAddZeroClass.{u2} R (AddMonoidWithOne.toAddMonoid.{u2} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u2} R (NonAssocSemiring.toAddCommMonoidWithOne.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))))))) ([mdata let_fun:1 (fun (this : Finsupp.{u1, u2} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))) => this) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (a : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 a) b)]) f))) -> (forall (p : MvPolynomial.{u1, u2} σ R _inst_1) (n : σ), (M p) -> (M (HMul.hMul.{max u2 u1, max u1 u2, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) p (MvPolynomial.X.{u2, u1} R σ _inst_1 n)))) -> (M p)
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.induction_on'' MvPolynomial.induction_on''ₓ'. -/
 /-- Similar to `mv_polynomial.induction_on` but only a yet weaker form of `h_add` is required.-/
 theorem induction_on'' {M : MvPolynomial σ R → Prop} (p : MvPolynomial σ R) (h_C : ∀ a, M (C a))
@@ -873,7 +873,7 @@ theorem finsupp_support_eq_support (p : MvPolynomial σ R) : Finsupp.support p =
 lean 3 declaration is
   forall {R : Type.{u1}} {σ : Type.{u2}} {a : R} {s : Finsupp.{u2, 0} σ Nat Nat.hasZero} [_inst_1 : CommSemiring.{u1} R] [_inst_3 : Decidable (Eq.{succ u1} R a (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))))))], Eq.{succ u2} (Finset.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (MvPolynomial.support.{u1, u2} R σ _inst_1 (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 s) a)) (ite.{succ u2} (Finset.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (Eq.{succ u1} R a (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))))))) _inst_3 (EmptyCollection.emptyCollection.{u2} (Finset.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (Finset.hasEmptyc.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero))) (Singleton.singleton.{u2, u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finset.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (Finset.hasSingleton.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) s))
 but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} {a : R} {s : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)} [_inst_1 : CommSemiring.{u2} R] [_inst_3 : Decidable (Eq.{succ u2} R a (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1)))))], Eq.{succ u1} (Finset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (MvPolynomial.support.{u2, u1} R σ _inst_1 (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s) a)) (ite.{succ u1} (Finset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (Eq.{succ u2} R a (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))))) _inst_3 (EmptyCollection.emptyCollection.{u1} (Finset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (Finset.instEmptyCollectionFinset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)))) (Singleton.singleton.{u1, u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (Finset.instSingletonFinset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) s))
+  forall {R : Type.{u2}} {σ : Type.{u1}} {a : R} {s : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)} [_inst_1 : CommSemiring.{u2} R] [_inst_3 : Decidable (Eq.{succ u2} R a (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1)))))], Eq.{succ u1} (Finset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (MvPolynomial.support.{u2, u1} R σ _inst_1 (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s) a)) (ite.{succ u1} (Finset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (Eq.{succ u2} R a (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))))) _inst_3 (EmptyCollection.emptyCollection.{u1} (Finset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (Finset.instEmptyCollectionFinset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)))) (Singleton.singleton.{u1, u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (Finset.instSingletonFinset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) s))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.support_monomial MvPolynomial.support_monomialₓ'. -/
 theorem support_monomial [Decidable (a = 0)] : (monomial s a).support = if a = 0 then ∅ else {s} :=
   by convert rfl
@@ -883,7 +883,7 @@ theorem support_monomial [Decidable (a = 0)] : (monomial s a).support = if a = 0
 lean 3 declaration is
   forall {R : Type.{u1}} {σ : Type.{u2}} {a : R} {s : Finsupp.{u2, 0} σ Nat Nat.hasZero} [_inst_1 : CommSemiring.{u1} R], HasSubset.Subset.{u2} (Finset.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (Finset.hasSubset.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (MvPolynomial.support.{u1, u2} R σ _inst_1 (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 s) a)) (Singleton.singleton.{u2, u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finset.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (Finset.hasSingleton.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) s)
 but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} {a : R} {s : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)} [_inst_1 : CommSemiring.{u2} R], HasSubset.Subset.{u1} (Finset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (Finset.instHasSubsetFinset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (MvPolynomial.support.{u2, u1} R σ _inst_1 (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s) a)) (Singleton.singleton.{u1, u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (Finset.instSingletonFinset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) s)
+  forall {R : Type.{u2}} {σ : Type.{u1}} {a : R} {s : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)} [_inst_1 : CommSemiring.{u2} R], HasSubset.Subset.{u1} (Finset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (Finset.instHasSubsetFinset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (MvPolynomial.support.{u2, u1} R σ _inst_1 (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s) a)) (Singleton.singleton.{u1, u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (Finset.instSingletonFinset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) s)
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.support_monomial_subset MvPolynomial.support_monomial_subsetₓ'. -/
 theorem support_monomial_subset : (monomial s a).support ⊆ {s} :=
   support_single_subset
@@ -1098,7 +1098,7 @@ theorem coeff_sum {X : Type _} (s : Finset X) (f : X → MvPolynomial σ R) (m :
 lean 3 declaration is
   forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] (m : Finsupp.{u2, 0} σ Nat Nat.hasZero), Eq.{max (succ u2) (succ u1)} (MvPolynomial.{u2, u1} σ R _inst_1) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 m) (OfNat.ofNat.{u1} R 1 (OfNat.mk.{u1} R 1 (One.one.{u1} R (AddMonoidWithOne.toOne.{u1} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} R (NonAssocSemiring.toAddCommMonoidWithOne.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))))))) (Finsupp.prod.{u2, 0, max u2 u1} σ Nat (MvPolynomial.{u2, u1} σ R _inst_1) Nat.hasZero (CommSemiring.toCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) m (fun (n : σ) (e : Nat) => HPow.hPow.{max u2 u1, 0, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) Nat (MvPolynomial.{u2, u1} σ R _inst_1) (instHPow.{max u2 u1, 0} (MvPolynomial.{u2, u1} σ R _inst_1) Nat (Monoid.Pow.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MonoidWithZero.toMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toMonoidWithZero.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))))) (MvPolynomial.X.{u1, u2} R σ _inst_1 n) e))
 but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] (m : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)), Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) (OfNat.ofNat.{u2} R 1 (One.toOfNat1.{u2} R (Semiring.toOne.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 m) (OfNat.ofNat.{u2} R 1 (One.toOfNat1.{u2} R (Semiring.toOne.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) (Finsupp.prod.{u1, 0, max u2 u1} σ Nat (MvPolynomial.{u1, u2} σ R _inst_1) (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) (CommSemiring.toCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) m (fun (n : σ) (e : Nat) => HPow.hPow.{max u1 u2, 0, max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) Nat (MvPolynomial.{u1, u2} σ R _inst_1) (instHPow.{max u1 u2, 0} (MvPolynomial.{u1, u2} σ R _inst_1) Nat (Monoid.Pow.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MonoidWithZero.toMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toMonoidWithZero.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (MvPolynomial.X.{u2, u1} R σ _inst_1 n) e))
+  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] (m : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)), Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) (OfNat.ofNat.{u2} R 1 (One.toOfNat1.{u2} R (Semiring.toOne.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 m) (OfNat.ofNat.{u2} R 1 (One.toOfNat1.{u2} R (Semiring.toOne.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) (Finsupp.prod.{u1, 0, max u2 u1} σ Nat (MvPolynomial.{u1, u2} σ R _inst_1) (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) (CommSemiring.toCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) m (fun (n : σ) (e : Nat) => HPow.hPow.{max u1 u2, 0, max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) Nat (MvPolynomial.{u1, u2} σ R _inst_1) (instHPow.{max u1 u2, 0} (MvPolynomial.{u1, u2} σ R _inst_1) Nat (Monoid.Pow.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MonoidWithZero.toMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toMonoidWithZero.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (MvPolynomial.X.{u2, u1} R σ _inst_1 n) e))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.monic_monomial_eq MvPolynomial.monic_monomial_eqₓ'. -/
 theorem monic_monomial_eq (m) :
     monomial m (1 : R) = (m.Prod fun n e => X n ^ e : MvPolynomial σ R) := by simp [monomial_eq]
@@ -1108,7 +1108,7 @@ theorem monic_monomial_eq (m) :
 lean 3 declaration is
   forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_3 : DecidableEq.{succ u2} σ] (m : Finsupp.{u2, 0} σ Nat Nat.hasZero) (n : Finsupp.{u2, 0} σ Nat Nat.hasZero) (a : R), Eq.{succ u1} R (MvPolynomial.coeff.{u1, u2} R σ _inst_1 m (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 n) a)) (ite.{succ u1} R (Eq.{succ u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) n m) (Finsupp.decidableEq.{u2, 0} σ Nat Nat.hasZero (fun (a : σ) (b : σ) => _inst_3 a b) (fun (a : Nat) (b : Nat) => Nat.decidableEq a b) n m) a (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))))))
 but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_3 : DecidableEq.{succ u1} σ] (m : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (n : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (a : R), Eq.{succ u2} R (MvPolynomial.coeff.{u2, u1} R σ _inst_1 m (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 n) a)) (ite.{succ u2} R (Eq.{succ u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) n m) (Finsupp.decidableEq.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) (fun (a : σ) (b : σ) => _inst_3 a b) (fun (a : Nat) (b : Nat) => instDecidableEqNat a b) n m) a (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1)))))
+  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_3 : DecidableEq.{succ u1} σ] (m : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (n : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (a : R), Eq.{succ u2} R (MvPolynomial.coeff.{u2, u1} R σ _inst_1 m (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 n) a)) (ite.{succ u2} R (Eq.{succ u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) n m) (Finsupp.decidableEq.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) (fun (a : σ) (b : σ) => _inst_3 a b) (fun (a : Nat) (b : Nat) => instDecidableEqNat a b) n m) a (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1)))))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.coeff_monomial MvPolynomial.coeff_monomialₓ'. -/
 @[simp]
 theorem coeff_monomial [DecidableEq σ] (m n) (a) :
@@ -1226,7 +1226,7 @@ theorem coeff_mul (p q : MvPolynomial σ R) (n : σ →₀ ℕ) :
 lean 3 declaration is
   forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] (m : Finsupp.{u2, 0} σ Nat Nat.hasZero) (s : Finsupp.{u2, 0} σ Nat Nat.hasZero) (r : R) (p : MvPolynomial.{u2, u1} σ R _inst_1), Eq.{succ u1} R (MvPolynomial.coeff.{u1, u2} R σ _inst_1 (HAdd.hAdd.{u2, u2, u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.{u2, 0} σ Nat Nat.hasZero) (instHAdd.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.add.{u2, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid))) m s) (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Distrib.toHasMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))) p (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 s) r))) (HMul.hMul.{u1, u1, u1} R R R (instHMul.{u1} R (Distrib.toHasMul.{u1} R (NonUnitalNonAssocSemiring.toDistrib.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))) (MvPolynomial.coeff.{u1, u2} R σ _inst_1 m p) r)
 but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] (m : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (s : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (r : R) (p : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{succ u2} R (MvPolynomial.coeff.{u2, u1} R σ _inst_1 (HAdd.hAdd.{u1, u1, u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (instHAdd.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.add.{u1, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid))) m s) (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) r) (MvPolynomial.{u1, u2} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) p (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s) r))) (HMul.hMul.{u2, u2, u2} R R R (instHMul.{u2} R (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) (MvPolynomial.coeff.{u2, u1} R σ _inst_1 m p) r)
+  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] (m : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (s : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (r : R) (p : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{succ u2} R (MvPolynomial.coeff.{u2, u1} R σ _inst_1 (HAdd.hAdd.{u1, u1, u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (instHAdd.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.add.{u1, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid))) m s) (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) r) (MvPolynomial.{u1, u2} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) p (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s) r))) (HMul.hMul.{u2, u2, u2} R R R (instHMul.{u2} R (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) (MvPolynomial.coeff.{u2, u1} R σ _inst_1 m p) r)
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.coeff_mul_monomial MvPolynomial.coeff_mul_monomialₓ'. -/
 @[simp]
 theorem coeff_mul_monomial (m) (s : σ →₀ ℕ) (r : R) (p : MvPolynomial σ R) :
@@ -1238,7 +1238,7 @@ theorem coeff_mul_monomial (m) (s : σ →₀ ℕ) (r : R) (p : MvPolynomial σ
 lean 3 declaration is
   forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] (m : Finsupp.{u2, 0} σ Nat Nat.hasZero) (s : Finsupp.{u2, 0} σ Nat Nat.hasZero) (r : R) (p : MvPolynomial.{u2, u1} σ R _inst_1), Eq.{succ u1} R (MvPolynomial.coeff.{u1, u2} R σ _inst_1 (HAdd.hAdd.{u2, u2, u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.{u2, 0} σ Nat Nat.hasZero) (instHAdd.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.add.{u2, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid))) s m) (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Distrib.toHasMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 s) r) p)) (HMul.hMul.{u1, u1, u1} R R R (instHMul.{u1} R (Distrib.toHasMul.{u1} R (NonUnitalNonAssocSemiring.toDistrib.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))) r (MvPolynomial.coeff.{u1, u2} R σ _inst_1 m p))
 but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] (m : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (s : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (r : R) (p : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{succ u2} R (MvPolynomial.coeff.{u2, u1} R σ _inst_1 (HAdd.hAdd.{u1, u1, u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (instHAdd.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.add.{u1, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid))) s m) (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) r) (MvPolynomial.{u1, u2} σ R _inst_1) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) r) (instHMul.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) r) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) r) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) r) (Semiring.toNonAssocSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) r) (CommSemiring.toSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) r) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s) r) p)) (HMul.hMul.{u2, u2, u2} R R R (instHMul.{u2} R (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) r (MvPolynomial.coeff.{u2, u1} R σ _inst_1 m p))
+  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] (m : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (s : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (r : R) (p : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{succ u2} R (MvPolynomial.coeff.{u2, u1} R σ _inst_1 (HAdd.hAdd.{u1, u1, u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (instHAdd.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.add.{u1, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid))) s m) (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) r) (MvPolynomial.{u1, u2} σ R _inst_1) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) r) (instHMul.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) r) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) r) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) r) (Semiring.toNonAssocSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) r) (CommSemiring.toSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) r) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s) r) p)) (HMul.hMul.{u2, u2, u2} R R R (instHMul.{u2} R (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) r (MvPolynomial.coeff.{u2, u1} R σ _inst_1 m p))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.coeff_monomial_mul MvPolynomial.coeff_monomial_mulₓ'. -/
 @[simp]
 theorem coeff_monomial_mul (m) (s : σ →₀ ℕ) (r : R) (p : MvPolynomial σ R) :
@@ -1340,7 +1340,7 @@ theorem support_symmDiff_support_subset_support_add [DecidableEq σ] (p q : MvPo
 lean 3 declaration is
   forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] (m : Finsupp.{u2, 0} σ Nat Nat.hasZero) (s : Finsupp.{u2, 0} σ Nat Nat.hasZero) (r : R) (p : MvPolynomial.{u2, u1} σ R _inst_1), Eq.{succ u1} R (MvPolynomial.coeff.{u1, u2} R σ _inst_1 m (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Distrib.toHasMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))) p (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 s) r))) (ite.{succ u1} R (LE.le.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.hasLe.{u2, 0} σ Nat Nat.hasZero Nat.hasLe) s m) (Finsupp.decidableLE.{u2, 0} σ Nat (CanonicallyOrderedCommSemiring.toCanonicallyOrderedAddMonoid.{0} Nat Nat.canonicallyOrderedCommSemiring) (fun (a : Nat) (b : Nat) => Nat.decidableLe a b) s m) (HMul.hMul.{u1, u1, u1} R R R (instHMul.{u1} R (Distrib.toHasMul.{u1} R (NonUnitalNonAssocSemiring.toDistrib.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))) (MvPolynomial.coeff.{u1, u2} R σ _inst_1 (HSub.hSub.{u2, u2, u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.{u2, 0} σ Nat Nat.hasZero) (instHSub.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.tsub.{u2, 0} σ Nat (CanonicallyOrderedCommSemiring.toCanonicallyOrderedAddMonoid.{0} Nat Nat.canonicallyOrderedCommSemiring) Nat.hasSub Nat.orderedSub)) m s) p) r) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))))))
 but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] (m : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (s : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (r : R) (p : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{succ u2} R (MvPolynomial.coeff.{u2, u1} R σ _inst_1 m (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) r) (MvPolynomial.{u1, u2} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) p (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s) r))) (ite.{succ u2} R (LE.le.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.instLEFinsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) instLENat) s m) (Finsupp.decidableLE.{u1, 0} σ Nat (CanonicallyOrderedCommSemiring.toCanonicallyOrderedAddMonoid.{0} Nat Nat.canonicallyOrderedCommSemiring) (fun (a : Nat) (b : Nat) => Nat.decLe a b) s m) (HMul.hMul.{u2, u2, u2} R R R (instHMul.{u2} R (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) (MvPolynomial.coeff.{u2, u1} R σ _inst_1 (HSub.hSub.{u1, u1, u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (instHSub.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.tsub.{u1, 0} σ Nat (CanonicallyOrderedCommSemiring.toCanonicallyOrderedAddMonoid.{0} Nat Nat.canonicallyOrderedCommSemiring) instSubNat Nat.instOrderedSubNatInstLENatInstAddNatInstSubNat)) m s) p) r) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1)))))
+  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] (m : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (s : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (r : R) (p : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{succ u2} R (MvPolynomial.coeff.{u2, u1} R σ _inst_1 m (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) r) (MvPolynomial.{u1, u2} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) p (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s) r))) (ite.{succ u2} R (LE.le.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.instLEFinsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) instLENat) s m) (Finsupp.decidableLE.{u1, 0} σ Nat (CanonicallyOrderedCommSemiring.toCanonicallyOrderedAddMonoid.{0} Nat Nat.canonicallyOrderedCommSemiring) (fun (a : Nat) (b : Nat) => Nat.decLe a b) s m) (HMul.hMul.{u2, u2, u2} R R R (instHMul.{u2} R (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) (MvPolynomial.coeff.{u2, u1} R σ _inst_1 (HSub.hSub.{u1, u1, u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (instHSub.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.tsub.{u1, 0} σ Nat (CanonicallyOrderedCommSemiring.toCanonicallyOrderedAddMonoid.{0} Nat Nat.canonicallyOrderedCommSemiring) instSubNat Nat.instOrderedSubNatInstLENatInstAddNatInstSubNat)) m s) p) r) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1)))))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.coeff_mul_monomial' MvPolynomial.coeff_mul_monomial'ₓ'. -/
 theorem coeff_mul_monomial' (m) (s : σ →₀ ℕ) (r : R) (p : MvPolynomial σ R) :
     coeff m (p * monomial s r) = if s ≤ m then coeff (m - s) p * r else 0 := by
@@ -1369,7 +1369,7 @@ theorem coeff_mul_monomial' (m) (s : σ →₀ ℕ) (r : R) (p : MvPolynomial σ
 lean 3 declaration is
   forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] (m : Finsupp.{u2, 0} σ Nat Nat.hasZero) (s : Finsupp.{u2, 0} σ Nat Nat.hasZero) (r : R) (p : MvPolynomial.{u2, u1} σ R _inst_1), Eq.{succ u1} R (MvPolynomial.coeff.{u1, u2} R σ _inst_1 m (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Distrib.toHasMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 s) r) p)) (ite.{succ u1} R (LE.le.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.hasLe.{u2, 0} σ Nat Nat.hasZero Nat.hasLe) s m) (Finsupp.decidableLE.{u2, 0} σ Nat (CanonicallyOrderedCommSemiring.toCanonicallyOrderedAddMonoid.{0} Nat Nat.canonicallyOrderedCommSemiring) (fun (a : Nat) (b : Nat) => Nat.decidableLe a b) s m) (HMul.hMul.{u1, u1, u1} R R R (instHMul.{u1} R (Distrib.toHasMul.{u1} R (NonUnitalNonAssocSemiring.toDistrib.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))) r (MvPolynomial.coeff.{u1, u2} R σ _inst_1 (HSub.hSub.{u2, u2, u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.{u2, 0} σ Nat Nat.hasZero) (instHSub.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.tsub.{u2, 0} σ Nat (CanonicallyOrderedCommSemiring.toCanonicallyOrderedAddMonoid.{0} Nat Nat.canonicallyOrderedCommSemiring) Nat.hasSub Nat.orderedSub)) m s) p)) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))))))
 but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] (m : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (s : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (r : R) (p : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{succ u2} R (MvPolynomial.coeff.{u2, u1} R σ _inst_1 m (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) r) (MvPolynomial.{u1, u2} σ R _inst_1) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) r) (instHMul.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) r) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) r) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) r) (Semiring.toNonAssocSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) r) (CommSemiring.toSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) r) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s) r) p)) (ite.{succ u2} R (LE.le.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.instLEFinsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) instLENat) s m) (Finsupp.decidableLE.{u1, 0} σ Nat (CanonicallyOrderedCommSemiring.toCanonicallyOrderedAddMonoid.{0} Nat Nat.canonicallyOrderedCommSemiring) (fun (a : Nat) (b : Nat) => Nat.decLe a b) s m) (HMul.hMul.{u2, u2, u2} R R R (instHMul.{u2} R (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) r (MvPolynomial.coeff.{u2, u1} R σ _inst_1 (HSub.hSub.{u1, u1, u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (instHSub.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.tsub.{u1, 0} σ Nat (CanonicallyOrderedCommSemiring.toCanonicallyOrderedAddMonoid.{0} Nat Nat.canonicallyOrderedCommSemiring) instSubNat Nat.instOrderedSubNatInstLENatInstAddNatInstSubNat)) m s) p)) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1)))))
+  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] (m : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (s : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (r : R) (p : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{succ u2} R (MvPolynomial.coeff.{u2, u1} R σ _inst_1 m (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) r) (MvPolynomial.{u1, u2} σ R _inst_1) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) r) (instHMul.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) r) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) r) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) r) (Semiring.toNonAssocSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) r) (CommSemiring.toSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) r) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s) r) p)) (ite.{succ u2} R (LE.le.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.instLEFinsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) instLENat) s m) (Finsupp.decidableLE.{u1, 0} σ Nat (CanonicallyOrderedCommSemiring.toCanonicallyOrderedAddMonoid.{0} Nat Nat.canonicallyOrderedCommSemiring) (fun (a : Nat) (b : Nat) => Nat.decLe a b) s m) (HMul.hMul.{u2, u2, u2} R R R (instHMul.{u2} R (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) r (MvPolynomial.coeff.{u2, u1} R σ _inst_1 (HSub.hSub.{u1, u1, u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (instHSub.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.tsub.{u1, 0} σ Nat (CanonicallyOrderedCommSemiring.toCanonicallyOrderedAddMonoid.{0} Nat Nat.canonicallyOrderedCommSemiring) instSubNat Nat.instOrderedSubNatInstLENatInstAddNatInstSubNat)) m s) p)) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1)))))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.coeff_monomial_mul' MvPolynomial.coeff_monomial_mul'ₓ'. -/
 theorem coeff_monomial_mul' (m) (s : σ →₀ ℕ) (r : R) (p : MvPolynomial σ R) :
     coeff m (monomial s r * p) = if s ≤ m then r * coeff (m - s) p else 0 :=
@@ -1553,7 +1553,7 @@ theorem constantCoeff_smul {R : Type _} [SMulZeroClass R S₁] (a : R) (f : MvPo
 lean 3 declaration is
   forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_3 : DecidableEq.{succ u2} σ] (d : Finsupp.{u2, 0} σ Nat Nat.hasZero) (r : R), Eq.{succ u1} R (coeFn.{max (succ (max u2 u1)) (succ u1), max (succ (max u2 u1)) (succ u1)} (RingHom.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (fun (_x : RingHom.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) => (MvPolynomial.{u2, u1} σ R _inst_1) -> R) (RingHom.hasCoeToFun.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.constantCoeff.{u1, u2} R σ _inst_1) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 d) r)) (ite.{succ u1} R (Eq.{succ u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) d (OfNat.ofNat.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) 0 (OfNat.mk.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) 0 (Zero.zero.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.zero.{u2, 0} σ Nat Nat.hasZero))))) (Finsupp.decidableEq.{u2, 0} σ Nat Nat.hasZero (fun (a : σ) (b : σ) => _inst_3 a b) (fun (a : Nat) (b : Nat) => Nat.decidableEq a b) d (OfNat.ofNat.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) 0 (OfNat.mk.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) 0 (Zero.zero.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.zero.{u2, 0} σ Nat Nat.hasZero))))) r (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))))))
 but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_3 : DecidableEq.{succ u1} σ] (d : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (r : R), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (a : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 d) r)) (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), succ u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) _x) (MulHomClass.toFunLike.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (RingHom.instRingHomClassRingHom.{max u1 u2, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))))) (MvPolynomial.constantCoeff.{u2, u1} R σ _inst_1) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 d) r)) (ite.{succ u2} R (Eq.{succ u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) d (OfNat.ofNat.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) 0 (Zero.toOfNat0.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.zero.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))))) (Finsupp.decidableEq.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) (fun (a : σ) (b : σ) => _inst_3 a b) (fun (a : Nat) (b : Nat) => instDecidableEqNat a b) d (OfNat.ofNat.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) 0 (Zero.toOfNat0.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.zero.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))))) r (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1)))))
+  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_3 : DecidableEq.{succ u1} σ] (d : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (r : R), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (a : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 d) r)) (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), succ u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) _x) (MulHomClass.toFunLike.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (RingHom.instRingHomClassRingHom.{max u1 u2, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))))) (MvPolynomial.constantCoeff.{u2, u1} R σ _inst_1) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 d) r)) (ite.{succ u2} R (Eq.{succ u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) d (OfNat.ofNat.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) 0 (Zero.toOfNat0.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.zero.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))))) (Finsupp.decidableEq.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) (fun (a : σ) (b : σ) => _inst_3 a b) (fun (a : Nat) (b : Nat) => instDecidableEqNat a b) d (OfNat.ofNat.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) 0 (Zero.toOfNat0.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.zero.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))))) r (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1)))))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.constant_coeff_monomial MvPolynomial.constantCoeff_monomialₓ'. -/
 theorem constantCoeff_monomial [DecidableEq σ] (d : σ →₀ ℕ) (r : R) :
     constantCoeff (monomial d r) = if d = 0 then r else 0 := by
@@ -1595,7 +1595,7 @@ section AsSum
 lean 3 declaration is
   forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] (p : MvPolynomial.{u2, u1} σ R _inst_1), Eq.{succ (max u2 u1)} (MvPolynomial.{u2, u1} σ R _inst_1) (Finset.sum.{max u2 u1, u2} (MvPolynomial.{u2, u1} σ R _inst_1) (Finsupp.{u2, 0} σ Nat Nat.hasZero) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (MvPolynomial.support.{u1, u2} R σ _inst_1 p) (fun (v : Finsupp.{u2, 0} σ Nat Nat.hasZero) => coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 v) (MvPolynomial.coeff.{u1, u2} R σ _inst_1 v p))) p
 but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] (p : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{max (succ u2) (succ u1)} (MvPolynomial.{u1, u2} σ R _inst_1) (Finset.sum.{max u2 u1, u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (MvPolynomial.support.{u2, u1} R σ _inst_1 p) (fun (v : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 v) (MvPolynomial.coeff.{u2, u1} R σ _inst_1 v p))) p
+  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] (p : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{max (succ u2) (succ u1)} (MvPolynomial.{u1, u2} σ R _inst_1) (Finset.sum.{max u2 u1, u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (MvPolynomial.support.{u2, u1} R σ _inst_1 p) (fun (v : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 v) (MvPolynomial.coeff.{u2, u1} R σ _inst_1 v p))) p
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.support_sum_monomial_coeff MvPolynomial.support_sum_monomial_coeffₓ'. -/
 @[simp]
 theorem support_sum_monomial_coeff (p : MvPolynomial σ R) :
@@ -1607,7 +1607,7 @@ theorem support_sum_monomial_coeff (p : MvPolynomial σ R) :
 lean 3 declaration is
   forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] (p : MvPolynomial.{u2, u1} σ R _inst_1), Eq.{max (succ u2) (succ u1)} (MvPolynomial.{u2, u1} σ R _inst_1) p (Finset.sum.{max u2 u1, u2} (MvPolynomial.{u2, u1} σ R _inst_1) (Finsupp.{u2, 0} σ Nat Nat.hasZero) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (MvPolynomial.support.{u1, u2} R σ _inst_1 p) (fun (v : Finsupp.{u2, 0} σ Nat Nat.hasZero) => coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 v) (MvPolynomial.coeff.{u1, u2} R σ _inst_1 v p)))
 but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] (p : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{max (succ u2) (succ u1)} (MvPolynomial.{u1, u2} σ R _inst_1) p (Finset.sum.{max u2 u1, u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (MvPolynomial.support.{u2, u1} R σ _inst_1 p) (fun (v : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 v) (MvPolynomial.coeff.{u2, u1} R σ _inst_1 v p)))
+  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] (p : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{max (succ u2) (succ u1)} (MvPolynomial.{u1, u2} σ R _inst_1) p (Finset.sum.{max u2 u1, u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (MvPolynomial.support.{u2, u1} R σ _inst_1 p) (fun (v : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 v) (MvPolynomial.coeff.{u2, u1} R σ _inst_1 v p)))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.as_sum MvPolynomial.as_sumₓ'. -/
 theorem as_sum (p : MvPolynomial σ R) : p = ∑ v in p.support, monomial v (coeff v p) :=
   (support_sum_monomial_coeff p).symm
@@ -1679,7 +1679,7 @@ theorem eval₂_add : (p + q).eval₂ f g = p.eval₂ f g + q.eval₂ f g := by
 lean 3 declaration is
   forall {R : Type.{u1}} {S₁ : Type.{u2}} {σ : Type.{u3}} {a : R} {s : Finsupp.{u3, 0} σ Nat Nat.hasZero} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] (f : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (g : σ -> S₁), Eq.{succ u2} S₁ (MvPolynomial.eval₂.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 f g (coeFn.{max (succ u1) (succ (max u3 u1)), max (succ u1) (succ (max u3 u1))} (LinearMap.{u1, u1, u1, max u3 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u3, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u3 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u3, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u3, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u3 u1} R R R (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u3} R σ _inst_1 s) a)) (HMul.hMul.{u2, u2, u2} S₁ S₁ S₁ (instHMul.{u2} S₁ (Distrib.toHasMul.{u2} S₁ (NonUnitalNonAssocSemiring.toDistrib.{u2} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S₁ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)))))) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (fun (_x : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) => R -> S₁) (RingHom.hasCoeToFun.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) f a) (Finsupp.prod.{u3, 0, u2} σ Nat S₁ Nat.hasZero (CommSemiring.toCommMonoid.{u2} S₁ _inst_2) s (fun (n : σ) (e : Nat) => HPow.hPow.{u2, 0, u2} S₁ Nat S₁ (instHPow.{u2, 0} S₁ Nat (Monoid.Pow.{u2} S₁ (MonoidWithZero.toMonoid.{u2} S₁ (Semiring.toMonoidWithZero.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))))) (g n) e)))
 but is expected to have type
-  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} {a : R} {s : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] (f : RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (g : σ -> S₁), Eq.{succ u3} S₁ (MvPolynomial.eval₂.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f g (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s) a)) (HMul.hMul.{u3, u3, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) S₁ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) (instHMul.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) (NonUnitalNonAssocSemiring.toMul.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) (Semiring.toNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) _inst_2))))) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) _x) (MulHomClass.toFunLike.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) f a) (Finsupp.prod.{u1, 0, u3} σ Nat S₁ (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) (CommSemiring.toCommMonoid.{u3} S₁ _inst_2) s (fun (n : σ) (e : Nat) => HPow.hPow.{u3, 0, u3} S₁ Nat S₁ (instHPow.{u3, 0} S₁ Nat (Monoid.Pow.{u3} S₁ (MonoidWithZero.toMonoid.{u3} S₁ (Semiring.toMonoidWithZero.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))))) (g n) e)))
+  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} {a : R} {s : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] (f : RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (g : σ -> S₁), Eq.{succ u3} S₁ (MvPolynomial.eval₂.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f g (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s) a)) (HMul.hMul.{u3, u3, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) S₁ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) (instHMul.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) (NonUnitalNonAssocSemiring.toMul.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) (Semiring.toNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) _inst_2))))) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) _x) (MulHomClass.toFunLike.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) f a) (Finsupp.prod.{u1, 0, u3} σ Nat S₁ (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) (CommSemiring.toCommMonoid.{u3} S₁ _inst_2) s (fun (n : σ) (e : Nat) => HPow.hPow.{u3, 0, u3} S₁ Nat S₁ (instHPow.{u3, 0} S₁ Nat (Monoid.Pow.{u3} S₁ (MonoidWithZero.toMonoid.{u3} S₁ (Semiring.toMonoidWithZero.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))))) (g n) e)))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval₂_monomial MvPolynomial.eval₂_monomialₓ'. -/
 @[simp]
 theorem eval₂_monomial : (monomial s a).eval₂ f g = f a * s.Prod fun n e => g n ^ e :=
@@ -1723,7 +1723,7 @@ theorem eval₂_X (n) : (X n).eval₂ f g = g n := by
 lean 3 declaration is
   forall {R : Type.{u1}} {S₁ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] {p : MvPolynomial.{u3, u1} σ R _inst_1} (f : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (g : σ -> S₁) {s : Finsupp.{u3, 0} σ Nat Nat.hasZero} {a : R}, Eq.{succ u2} S₁ (MvPolynomial.eval₂.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 f g (HMul.hMul.{max u3 u1, max u3 u1, max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u1} σ R _inst_1) (instHMul.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Distrib.toHasMul.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))))) p (coeFn.{max (succ u1) (succ (max u3 u1)), max (succ u1) (succ (max u3 u1))} (LinearMap.{u1, u1, u1, max u3 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u3, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u3 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u3, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u3, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u3 u1} R R R (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u3} R σ _inst_1 s) a))) (HMul.hMul.{u2, u2, u2} S₁ S₁ S₁ (instHMul.{u2} S₁ (Distrib.toHasMul.{u2} S₁ (NonUnitalNonAssocSemiring.toDistrib.{u2} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S₁ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)))))) (HMul.hMul.{u2, u2, u2} S₁ S₁ S₁ (instHMul.{u2} S₁ (Distrib.toHasMul.{u2} S₁ (NonUnitalNonAssocSemiring.toDistrib.{u2} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S₁ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)))))) (MvPolynomial.eval₂.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 f g p) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (fun (_x : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) => R -> S₁) (RingHom.hasCoeToFun.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) f a)) (Finsupp.prod.{u3, 0, u2} σ Nat S₁ Nat.hasZero (CommSemiring.toCommMonoid.{u2} S₁ _inst_2) s (fun (n : σ) (e : Nat) => HPow.hPow.{u2, 0, u2} S₁ Nat S₁ (instHPow.{u2, 0} S₁ Nat (Monoid.Pow.{u2} S₁ (MonoidWithZero.toMonoid.{u2} S₁ (Semiring.toMonoidWithZero.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))))) (g n) e)))
 but is expected to have type
-  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] {p : MvPolynomial.{u1, u2} σ R _inst_1} (f : RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (g : σ -> S₁) {s : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)} {a : R}, Eq.{succ u3} S₁ (MvPolynomial.eval₂.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f g (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (MvPolynomial.{u1, u2} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) p (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s) a))) (HMul.hMul.{u3, u3, u3} S₁ S₁ S₁ (instHMul.{u3} S₁ (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))))) (HMul.hMul.{u3, u3, u3} S₁ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) S₁ (instHMul.{u3} S₁ (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))))) (MvPolynomial.eval₂.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f g p) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) _x) (MulHomClass.toFunLike.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) f a)) (Finsupp.prod.{u1, 0, u3} σ Nat S₁ (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) (CommSemiring.toCommMonoid.{u3} S₁ _inst_2) s (fun (n : σ) (e : Nat) => HPow.hPow.{u3, 0, u3} S₁ Nat S₁ (instHPow.{u3, 0} S₁ Nat (Monoid.Pow.{u3} S₁ (MonoidWithZero.toMonoid.{u3} S₁ (Semiring.toMonoidWithZero.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))))) (g n) e)))
+  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] {p : MvPolynomial.{u1, u2} σ R _inst_1} (f : RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (g : σ -> S₁) {s : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)} {a : R}, Eq.{succ u3} S₁ (MvPolynomial.eval₂.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f g (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (MvPolynomial.{u1, u2} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) p (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s) a))) (HMul.hMul.{u3, u3, u3} S₁ S₁ S₁ (instHMul.{u3} S₁ (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))))) (HMul.hMul.{u3, u3, u3} S₁ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) S₁ (instHMul.{u3} S₁ (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))))) (MvPolynomial.eval₂.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f g p) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) _x) (MulHomClass.toFunLike.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) f a)) (Finsupp.prod.{u1, 0, u3} σ Nat S₁ (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) (CommSemiring.toCommMonoid.{u3} S₁ _inst_2) s (fun (n : σ) (e : Nat) => HPow.hPow.{u3, 0, u3} S₁ Nat S₁ (instHPow.{u3, 0} S₁ Nat (Monoid.Pow.{u3} S₁ (MonoidWithZero.toMonoid.{u3} S₁ (Semiring.toMonoidWithZero.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))))) (g n) e)))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval₂_mul_monomial MvPolynomial.eval₂_mul_monomialₓ'. -/
 theorem eval₂_mul_monomial :
     ∀ {s a}, (p * monomial s a).eval₂ f g = p.eval₂ f g * f a * s.Prod fun n e => g n ^ e := by
@@ -1875,7 +1875,7 @@ theorem map_eval₂Hom [CommSemiring S₂] (f : R →+* S₁) (g : σ → S₁)
 lean 3 declaration is
   forall {R : Type.{u1}} {S₁ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] (f : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (g : σ -> S₁) (d : Finsupp.{u3, 0} σ Nat Nat.hasZero) (r : R), Eq.{succ u2} S₁ (coeFn.{max (succ (max u3 u1)) (succ u2), max (succ (max u3 u1)) (succ u2)} (RingHom.{max u3 u1, u2} (MvPolynomial.{u3, u1} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (fun (_x : RingHom.{max u3 u1, u2} (MvPolynomial.{u3, u1} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) => (MvPolynomial.{u3, u1} σ R _inst_1) -> S₁) (RingHom.hasCoeToFun.{max u3 u1, u2} (MvPolynomial.{u3, u1} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (MvPolynomial.eval₂Hom.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 f g) (coeFn.{max (succ u1) (succ (max u3 u1)), max (succ u1) (succ (max u3 u1))} (LinearMap.{u1, u1, u1, max u3 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u3, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u3 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u3, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u3, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u3 u1} R R R (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u3} R σ _inst_1 d) r)) (HMul.hMul.{u2, u2, u2} S₁ S₁ S₁ (instHMul.{u2} S₁ (Distrib.toHasMul.{u2} S₁ (NonUnitalNonAssocSemiring.toDistrib.{u2} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S₁ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)))))) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (fun (_x : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) => R -> S₁) (RingHom.hasCoeToFun.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) f r) (Finsupp.prod.{u3, 0, u2} σ Nat S₁ Nat.hasZero (CommSemiring.toCommMonoid.{u2} S₁ _inst_2) d (fun (i : σ) (k : Nat) => HPow.hPow.{u2, 0, u2} S₁ Nat S₁ (instHPow.{u2, 0} S₁ Nat (Monoid.Pow.{u2} S₁ (MonoidWithZero.toMonoid.{u2} S₁ (Semiring.toMonoidWithZero.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))))) (g i) k)))
 but is expected to have type
-  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] (f : RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (g : σ -> S₁) (d : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (r : R), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => S₁) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (a : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 d) r)) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u2) (succ u1), succ u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => S₁) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (MvPolynomial.eval₂Hom.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f g) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 d) r)) (HMul.hMul.{u3, u3, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) S₁ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) (instHMul.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) (NonUnitalNonAssocSemiring.toMul.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) (Semiring.toNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) _inst_2))))) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) _x) (MulHomClass.toFunLike.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) f r) (Finsupp.prod.{u1, 0, u3} σ Nat S₁ (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) (CommSemiring.toCommMonoid.{u3} S₁ _inst_2) d (fun (i : σ) (k : Nat) => HPow.hPow.{u3, 0, u3} S₁ Nat S₁ (instHPow.{u3, 0} S₁ Nat (Monoid.Pow.{u3} S₁ (MonoidWithZero.toMonoid.{u3} S₁ (Semiring.toMonoidWithZero.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))))) (g i) k)))
+  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] (f : RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (g : σ -> S₁) (d : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (r : R), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => S₁) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (a : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 d) r)) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u2) (succ u1), succ u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => S₁) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (MvPolynomial.eval₂Hom.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f g) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 d) r)) (HMul.hMul.{u3, u3, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) S₁ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) (instHMul.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) (NonUnitalNonAssocSemiring.toMul.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) (Semiring.toNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) _inst_2))))) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) _x) (MulHomClass.toFunLike.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) f r) (Finsupp.prod.{u1, 0, u3} σ Nat S₁ (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) (CommSemiring.toCommMonoid.{u3} S₁ _inst_2) d (fun (i : σ) (k : Nat) => HPow.hPow.{u3, 0, u3} S₁ Nat S₁ (instHPow.{u3, 0} S₁ Nat (Monoid.Pow.{u3} S₁ (MonoidWithZero.toMonoid.{u3} S₁ (Semiring.toMonoidWithZero.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))))) (g i) k)))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval₂_hom_monomial MvPolynomial.eval₂Hom_monomialₓ'. -/
 theorem eval₂Hom_monomial (f : R →+* S₁) (g : σ → S₁) (d : σ →₀ ℕ) (r : R) :
     eval₂Hom f g (monomial d r) = f r * d.Prod fun i k => g i ^ k := by
@@ -2006,7 +2006,7 @@ theorem eval_eq' [Fintype σ] (x : σ → R) (f : MvPolynomial σ R) :
 lean 3 declaration is
   forall {R : Type.{u1}} {σ : Type.{u2}} {a : R} {s : Finsupp.{u2, 0} σ Nat Nat.hasZero} [_inst_1 : CommSemiring.{u1} R] {f : σ -> R}, Eq.{succ u1} R (coeFn.{max (succ (max u2 u1)) (succ u1), max (succ (max u2 u1)) (succ u1)} (RingHom.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (fun (_x : RingHom.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) => (MvPolynomial.{u2, u1} σ R _inst_1) -> R) (RingHom.hasCoeToFun.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.eval.{u1, u2} R σ _inst_1 f) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 s) a)) (HMul.hMul.{u1, u1, u1} R R R (instHMul.{u1} R (Distrib.toHasMul.{u1} R (NonUnitalNonAssocSemiring.toDistrib.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))) a (Finsupp.prod.{u2, 0, u1} σ Nat R Nat.hasZero (CommSemiring.toCommMonoid.{u1} R _inst_1) s (fun (n : σ) (e : Nat) => HPow.hPow.{u1, 0, u1} R Nat R (instHPow.{u1, 0} R Nat (Monoid.Pow.{u1} R (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (f n) e)))
 but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} {a : R} {s : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)} [_inst_1 : CommSemiring.{u2} R] {f : σ -> R}, Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (a : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s) a)) (FunLike.coe.{max (succ u2) (succ u1), max (succ u2) (succ u1), succ u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) _x) (MulHomClass.toFunLike.{max u2 u1, max u2 u1, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, max u2 u1, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, max u2 u1, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (RingHom.instRingHomClassRingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))))) (MvPolynomial.eval.{u2, u1} R σ _inst_1 f) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s) a)) (HMul.hMul.{u2, u2, u2} R R R (instHMul.{u2} R (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) a (Finsupp.prod.{u1, 0, u2} σ Nat R (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) (CommSemiring.toCommMonoid.{u2} R _inst_1) s (fun (n : σ) (e : Nat) => HPow.hPow.{u2, 0, u2} R Nat R (instHPow.{u2, 0} R Nat (Monoid.Pow.{u2} R (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) (f n) e)))
+  forall {R : Type.{u2}} {σ : Type.{u1}} {a : R} {s : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)} [_inst_1 : CommSemiring.{u2} R] {f : σ -> R}, Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (a : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s) a)) (FunLike.coe.{max (succ u2) (succ u1), max (succ u2) (succ u1), succ u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) _x) (MulHomClass.toFunLike.{max u2 u1, max u2 u1, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, max u2 u1, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, max u2 u1, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (RingHom.instRingHomClassRingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))))) (MvPolynomial.eval.{u2, u1} R σ _inst_1 f) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s) a)) (HMul.hMul.{u2, u2, u2} R R R (instHMul.{u2} R (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) a (Finsupp.prod.{u1, 0, u2} σ Nat R (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) (CommSemiring.toCommMonoid.{u2} R _inst_1) s (fun (n : σ) (e : Nat) => HPow.hPow.{u2, 0, u2} R Nat R (instHPow.{u2, 0} R Nat (Monoid.Pow.{u2} R (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) (f n) e)))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval_monomial MvPolynomial.eval_monomialₓ'. -/
 theorem eval_monomial : eval f (monomial s a) = a * s.Prod fun n e => f n ^ e :=
   eval₂_monomial _ _
@@ -2129,7 +2129,7 @@ def map : MvPolynomial σ R →+* MvPolynomial σ S₁ :=
 lean 3 declaration is
   forall {R : Type.{u1}} {S₁ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] (f : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (s : Finsupp.{u3, 0} σ Nat Nat.hasZero) (a : R), Eq.{max (succ u3) (succ u2)} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (coeFn.{max (succ (max u3 u1)) (succ (max u3 u2)), max (succ (max u3 u1)) (succ (max u3 u2))} (RingHom.{max u3 u1, max u3 u2} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))) (fun (_x : RingHom.{max u3 u1, max u3 u2} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))) => (MvPolynomial.{u3, u1} σ R _inst_1) -> (MvPolynomial.{u3, u2} σ S₁ _inst_2)) (RingHom.hasCoeToFun.{max u3 u1, max u3 u2} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))) (MvPolynomial.map.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 f) (coeFn.{max (succ u1) (succ (max u3 u1)), max (succ u1) (succ (max u3 u1))} (LinearMap.{u1, u1, u1, max u3 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u3, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u3 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u3, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u3, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u3 u1} R R R (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u3} R σ _inst_1 s) a)) (coeFn.{max (succ u2) (succ (max u3 u2)), max (succ u2) (succ (max u3 u2))} (LinearMap.{u2, u2, u2, max u3 u2} S₁ S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2) (CommSemiring.toSemiring.{u2} S₁ _inst_2) (RingHom.id.{u2} S₁ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) S₁ (MvPolynomial.{u3, u2} σ S₁ _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S₁ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2))))) (Semiring.toModule.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (MvPolynomial.module.{u2, u2, u3} S₁ S₁ σ (CommSemiring.toSemiring.{u2} S₁ _inst_2) _inst_2 (Semiring.toModule.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)))) (fun (_x : LinearMap.{u2, u2, u2, max u3 u2} S₁ S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2) (CommSemiring.toSemiring.{u2} S₁ _inst_2) (RingHom.id.{u2} S₁ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) S₁ (MvPolynomial.{u3, u2} σ S₁ _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S₁ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2))))) (Semiring.toModule.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (MvPolynomial.module.{u2, u2, u3} S₁ S₁ σ (CommSemiring.toSemiring.{u2} S₁ _inst_2) _inst_2 (Semiring.toModule.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)))) => S₁ -> (MvPolynomial.{u3, u2} σ S₁ _inst_2)) (LinearMap.hasCoeToFun.{u2, u2, u2, max u3 u2} S₁ S₁ S₁ (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{u2} S₁ _inst_2) (CommSemiring.toSemiring.{u2} S₁ _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S₁ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2))))) (Semiring.toModule.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (MvPolynomial.module.{u2, u2, u3} S₁ S₁ σ (CommSemiring.toSemiring.{u2} S₁ _inst_2) _inst_2 (Semiring.toModule.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (RingHom.id.{u2} S₁ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)))) (MvPolynomial.monomial.{u2, u3} S₁ σ _inst_2 s) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (fun (_x : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) => R -> S₁) (RingHom.hasCoeToFun.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) f a))
 but is expected to have type
-  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] (f : RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (s : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (a : R), Eq.{max (succ u3) (succ u1)} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u3} σ S₁ _inst_2) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (a : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s) a)) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u2) (succ u1), max (succ u3) (succ u1)} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u3} σ S₁ _inst_2) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (RingHom.instRingHomClassRingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))))) (MvPolynomial.map.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s) a)) (FunLike.coe.{max (succ u1) (succ u3), succ u3, max (succ u1) (succ u3)} (LinearMap.{u3, u3, u3, max u3 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) _inst_2) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) _inst_2) (RingHom.id.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) (Semiring.toNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) _inst_2))) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) (Semiring.toNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) _inst_2) (MvPolynomial.commSemiring.{u3, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) σ _inst_2))))) (Semiring.toModule.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) _inst_2)) (MvPolynomial.module.{u3, u3, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) σ (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) _inst_2) _inst_2 (Semiring.toModule.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) _inst_2)))) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) (fun (_x : (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) => MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) _inst_2) _x) (LinearMap.instFunLikeLinearMap.{u3, u3, u3, max u1 u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) _inst_2) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) _inst_2) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) (Semiring.toNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) _inst_2) (MvPolynomial.commSemiring.{u3, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) σ _inst_2))))) (Semiring.toModule.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) _inst_2)) (MvPolynomial.module.{u3, u3, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) σ (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) _inst_2) _inst_2 (Semiring.toModule.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) _inst_2))) (RingHom.id.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) (Semiring.toNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) _inst_2)))) (MvPolynomial.monomial.{u3, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) σ _inst_2 s) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) _x) (MulHomClass.toFunLike.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) f a))
+  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] (f : RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (s : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (a : R), Eq.{max (succ u3) (succ u1)} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u3} σ S₁ _inst_2) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (a : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s) a)) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u2) (succ u1), max (succ u3) (succ u1)} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u3} σ S₁ _inst_2) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (RingHom.instRingHomClassRingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))))) (MvPolynomial.map.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s) a)) (FunLike.coe.{max (succ u1) (succ u3), succ u3, max (succ u1) (succ u3)} (LinearMap.{u3, u3, u3, max u3 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) _inst_2) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) _inst_2) (RingHom.id.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) (Semiring.toNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) _inst_2))) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) (Semiring.toNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) _inst_2) (MvPolynomial.commSemiring.{u3, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) σ _inst_2))))) (Semiring.toModule.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) _inst_2)) (MvPolynomial.module.{u3, u3, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) σ (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) _inst_2) _inst_2 (Semiring.toModule.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) _inst_2)))) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) (fun (_x : (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) => MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) _inst_2) _x) (LinearMap.instFunLikeLinearMap.{u3, u3, u3, max u1 u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) _inst_2) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) _inst_2) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) (Semiring.toNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) _inst_2) (MvPolynomial.commSemiring.{u3, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) σ _inst_2))))) (Semiring.toModule.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) _inst_2)) (MvPolynomial.module.{u3, u3, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) σ (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) _inst_2) _inst_2 (Semiring.toModule.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) _inst_2))) (RingHom.id.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) (Semiring.toNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) _inst_2)))) (MvPolynomial.monomial.{u3, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) σ _inst_2 s) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) _x) (MulHomClass.toFunLike.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) f a))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.map_monomial MvPolynomial.map_monomialₓ'. -/
 @[simp]
 theorem map_monomial (s : σ →₀ ℕ) (a : R) : map f (monomial s a) = monomial s (f a) :=
@@ -2736,7 +2736,7 @@ theorem eval_zero' : eval (fun _ => 0 : σ → R) = constantCoeff :=
 lean 3 declaration is
   forall {R : Type.{u1}} {S₁ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] [_inst_3 : Algebra.{u1, u2} R S₁ _inst_1 (CommSemiring.toSemiring.{u2} S₁ _inst_2)] (g : σ -> S₁) (d : Finsupp.{u3, 0} σ Nat Nat.hasZero) (r : R), Eq.{succ u2} S₁ (coeFn.{max (succ (max u3 u1)) (succ u2), max (succ (max u3 u1)) (succ u2)} (AlgHom.{u1, max u3 u1, u2} R (MvPolynomial.{u3, u1} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (CommSemiring.toSemiring.{u2} S₁ _inst_2) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_3) (fun (_x : AlgHom.{u1, max u3 u1, u2} R (MvPolynomial.{u3, u1} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (CommSemiring.toSemiring.{u2} S₁ _inst_2) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_3) => (MvPolynomial.{u3, u1} σ R _inst_1) -> S₁) ([anonymous].{u1, max u3 u1, u2} R (MvPolynomial.{u3, u1} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (CommSemiring.toSemiring.{u2} S₁ _inst_2) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_3) (MvPolynomial.aeval.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 _inst_3 g) (coeFn.{max (succ u1) (succ (max u3 u1)), max (succ u1) (succ (max u3 u1))} (LinearMap.{u1, u1, u1, max u3 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u3, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u3 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u3, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u3, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u3 u1} R R R (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u3} R σ _inst_1 d) r)) (HMul.hMul.{u2, u2, u2} S₁ S₁ S₁ (instHMul.{u2} S₁ (Distrib.toHasMul.{u2} S₁ (NonUnitalNonAssocSemiring.toDistrib.{u2} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S₁ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)))))) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (fun (_x : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) => R -> S₁) (RingHom.hasCoeToFun.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (algebraMap.{u1, u2} R S₁ _inst_1 (CommSemiring.toSemiring.{u2} S₁ _inst_2) _inst_3) r) (Finsupp.prod.{u3, 0, u2} σ Nat S₁ Nat.hasZero (CommSemiring.toCommMonoid.{u2} S₁ _inst_2) d (fun (i : σ) (k : Nat) => HPow.hPow.{u2, 0, u2} S₁ Nat S₁ (instHPow.{u2, 0} S₁ Nat (Monoid.Pow.{u2} S₁ (MonoidWithZero.toMonoid.{u2} S₁ (Semiring.toMonoidWithZero.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))))) (g i) k)))
 but is expected to have type
-  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] [_inst_3 : Algebra.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2)] (g : σ -> S₁) (d : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (r : R), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u1, u2} σ R _inst_1) => S₁) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (a : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 d) r)) (FunLike.coe.{max (max (succ u3) (succ u1)) (succ u2), max (succ u1) (succ u2), succ u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u1, u2} σ R _inst_1) => S₁) _x) (SMulHomClass.toFunLike.{max (max u3 u1) u2, u2, max u1 u2, u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (SMulZeroClass.toSMul.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (AddMonoid.toZero.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (DistribSMul.toSMulZeroClass.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (DistribMulAction.toDistribSMul.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))))))) (SMulZeroClass.toSMul.{u2, u3} R S₁ (AddMonoid.toZero.{u3} S₁ (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (DistribSMul.toSMulZeroClass.{u2, u3} R S₁ (AddMonoid.toAddZeroClass.{u3} S₁ (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (DistribMulAction.toDistribSMul.{u2, u3} R S₁ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))))) (Module.toDistribMulAction.{u2, u3} R S₁ (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (Algebra.toModule.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3))))) (DistribMulActionHomClass.toSMulHomClass.{max (max u3 u1) u2, u2, max u1 u2, u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (Module.toDistribMulAction.{u2, u3} R S₁ (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (Algebra.toModule.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max (max u3 u1) u2, u2, max u1 u2, u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (Module.toDistribMulAction.{u2, u3} R S₁ (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (Algebra.toModule.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u2, max u1 u2, u3, max (max u3 u1) u2} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3 (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) (AlgHom.algHomClass.{u2, max u1 u2, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3))))) (MvPolynomial.aeval.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 _inst_3 g) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 d) r)) (HMul.hMul.{u3, u3, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) S₁ ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u1, u2} σ R _inst_1) => S₁) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (a : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 d) r)) (instHMul.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) (NonUnitalNonAssocSemiring.toMul.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) (Semiring.toNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) _inst_2))))) (FunLike.coe.{max (succ u3) (succ u2), succ u2, succ u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) _x) (MulHomClass.toFunLike.{max u3 u2, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u3 u2, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u3 u2, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (algebraMap.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3) r) (Finsupp.prod.{u1, 0, u3} σ Nat S₁ (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) (CommSemiring.toCommMonoid.{u3} S₁ _inst_2) d (fun (i : σ) (k : Nat) => HPow.hPow.{u3, 0, u3} S₁ Nat S₁ (instHPow.{u3, 0} S₁ Nat (Monoid.Pow.{u3} S₁ (MonoidWithZero.toMonoid.{u3} S₁ (Semiring.toMonoidWithZero.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))))) (g i) k)))
+  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] [_inst_3 : Algebra.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2)] (g : σ -> S₁) (d : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (r : R), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u1, u2} σ R _inst_1) => S₁) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (a : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 d) r)) (FunLike.coe.{max (max (succ u3) (succ u1)) (succ u2), max (succ u1) (succ u2), succ u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u1, u2} σ R _inst_1) => S₁) _x) (SMulHomClass.toFunLike.{max (max u3 u1) u2, u2, max u1 u2, u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (SMulZeroClass.toSMul.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (AddMonoid.toZero.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (DistribSMul.toSMulZeroClass.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (DistribMulAction.toDistribSMul.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))))))) (SMulZeroClass.toSMul.{u2, u3} R S₁ (AddMonoid.toZero.{u3} S₁ (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (DistribSMul.toSMulZeroClass.{u2, u3} R S₁ (AddMonoid.toAddZeroClass.{u3} S₁ (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (DistribMulAction.toDistribSMul.{u2, u3} R S₁ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))))) (Module.toDistribMulAction.{u2, u3} R S₁ (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (Algebra.toModule.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3))))) (DistribMulActionHomClass.toSMulHomClass.{max (max u3 u1) u2, u2, max u1 u2, u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (Module.toDistribMulAction.{u2, u3} R S₁ (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (Algebra.toModule.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max (max u3 u1) u2, u2, max u1 u2, u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (Module.toDistribMulAction.{u2, u3} R S₁ (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (Algebra.toModule.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u2, max u1 u2, u3, max (max u3 u1) u2} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3 (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) (AlgHom.algHomClass.{u2, max u1 u2, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3))))) (MvPolynomial.aeval.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 _inst_3 g) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 d) r)) (HMul.hMul.{u3, u3, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) S₁ ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u1, u2} σ R _inst_1) => S₁) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (a : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 d) r)) (instHMul.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) (NonUnitalNonAssocSemiring.toMul.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) (Semiring.toNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) _inst_2))))) (FunLike.coe.{max (succ u3) (succ u2), succ u2, succ u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) _x) (MulHomClass.toFunLike.{max u3 u2, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u3 u2, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u3 u2, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (algebraMap.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3) r) (Finsupp.prod.{u1, 0, u3} σ Nat S₁ (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) (CommSemiring.toCommMonoid.{u3} S₁ _inst_2) d (fun (i : σ) (k : Nat) => HPow.hPow.{u3, 0, u3} S₁ Nat S₁ (instHPow.{u3, 0} S₁ Nat (Monoid.Pow.{u3} S₁ (MonoidWithZero.toMonoid.{u3} S₁ (Semiring.toMonoidWithZero.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))))) (g i) k)))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.aeval_monomial MvPolynomial.aeval_monomialₓ'. -/
 theorem aeval_monomial (g : σ → S₁) (d : σ →₀ ℕ) (r : R) :
     aeval g (monomial d r) = algebraMap _ _ r * d.Prod fun i k => g i ^ k :=

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

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Johannes Hölzl, Johan Commelin, Mario Carneiro
 
 ! This file was ported from Lean 3 source module data.mv_polynomial.basic
-! leanprover-community/mathlib commit 4e529b03dd62b7b7d13806c3fb974d9d4848910e
+! leanprover-community/mathlib commit 2f5b500a507264de86d666a5f87ddb976e2d8de4
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -77,7 +77,7 @@ polynomial, multivariate polynomial, multivariable polynomial
 
 noncomputable section
 
-open Classical BigOperators
+open BigOperators
 
 open Set Function Finsupp AddMonoidAlgebra
 
@@ -891,11 +891,11 @@ theorem support_monomial_subset : (monomial s a).support ⊆ {s} :=
 
 /- warning: mv_polynomial.support_add -> MvPolynomial.support_add is a dubious translation:
 lean 3 declaration is
-  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {p : MvPolynomial.{u2, u1} σ R _inst_1} {q : MvPolynomial.{u2, u1} σ R _inst_1}, HasSubset.Subset.{u2} (Finset.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (Finset.hasSubset.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (MvPolynomial.support.{u1, u2} R σ _inst_1 (HAdd.hAdd.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (instHAdd.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Distrib.toHasAdd.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))) p q)) (Union.union.{u2} (Finset.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (Finset.hasUnion.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (fun (a : Finsupp.{u2, 0} σ Nat Nat.hasZero) (b : Finsupp.{u2, 0} σ Nat Nat.hasZero) => Finsupp.decidableEq.{u2, 0} σ Nat Nat.hasZero (fun (a : σ) (b : σ) => Classical.propDecidable (Eq.{succ u2} σ a b)) (fun (a : Nat) (b : Nat) => Nat.decidableEq a b) a b)) (MvPolynomial.support.{u1, u2} R σ _inst_1 p) (MvPolynomial.support.{u1, u2} R σ _inst_1 q))
+  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {p : MvPolynomial.{u2, u1} σ R _inst_1} {q : MvPolynomial.{u2, u1} σ R _inst_1} [_inst_3 : DecidableEq.{succ u2} σ], HasSubset.Subset.{u2} (Finset.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (Finset.hasSubset.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (MvPolynomial.support.{u1, u2} R σ _inst_1 (HAdd.hAdd.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (instHAdd.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Distrib.toHasAdd.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))) p q)) (Union.union.{u2} (Finset.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (Finset.hasUnion.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (fun (a : Finsupp.{u2, 0} σ Nat Nat.hasZero) (b : Finsupp.{u2, 0} σ Nat Nat.hasZero) => Finsupp.decidableEq.{u2, 0} σ Nat Nat.hasZero (fun (a : σ) (b : σ) => _inst_3 a b) (fun (a : Nat) (b : Nat) => Nat.decidableEq a b) a b)) (MvPolynomial.support.{u1, u2} R σ _inst_1 p) (MvPolynomial.support.{u1, u2} R σ _inst_1 q))
 but is expected to have type
   forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] {p : MvPolynomial.{u1, u2} σ R _inst_1} {q : MvPolynomial.{u1, u2} σ R _inst_1}, HasSubset.Subset.{u1} (Finset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (Finset.instHasSubsetFinset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (MvPolynomial.support.{u2, u1} R σ _inst_1 (HAdd.hAdd.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (instHAdd.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Distrib.toAdd.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) p q)) (Union.union.{u1} (Finset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (Finset.instUnionFinset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (fun (a : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (b : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => Finsupp.decidableEq.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) (fun (a : σ) (b : σ) => Classical.propDecidable (Eq.{succ u1} σ a b)) (fun (a : Nat) (b : Nat) => instDecidableEqNat a b) a b)) (MvPolynomial.support.{u2, u1} R σ _inst_1 p) (MvPolynomial.support.{u2, u1} R σ _inst_1 q))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.support_add MvPolynomial.support_addₓ'. -/
-theorem support_add : (p + q).support ⊆ p.support ∪ q.support :=
+theorem support_add [DecidableEq σ] : (p + q).support ⊆ p.support ∪ q.support :=
   Finsupp.support_add
 #align mv_polynomial.support_add MvPolynomial.support_add
 
@@ -906,7 +906,7 @@ but is expected to have type
   forall {R : Type.{u2}} {σ : Type.{u1}} {n : σ} [_inst_1 : CommSemiring.{u2} R] [_inst_3 : Nontrivial.{u2} R], Eq.{succ u1} (Finset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (MvPolynomial.support.{u2, u1} R σ _inst_1 (MvPolynomial.X.{u2, u1} R σ _inst_1 n)) (Singleton.singleton.{u1, u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (Finset.instSingletonFinset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (Finsupp.single.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.support_X MvPolynomial.support_Xₓ'. -/
 theorem support_X [Nontrivial R] : (X n : MvPolynomial σ R).support = {single n 1} := by
-  rw [X, support_monomial, if_neg] <;> exact one_ne_zero
+  classical rw [X, support_monomial, if_neg] <;> exact one_ne_zero
 #align mv_polynomial.support_X MvPolynomial.support_X
 
 /- warning: mv_polynomial.support_X_pow -> MvPolynomial.support_X_pow is a dubious translation:
@@ -917,7 +917,7 @@ but is expected to have type
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.support_X_pow MvPolynomial.support_X_powₓ'. -/
 theorem support_X_pow [Nontrivial R] (s : σ) (n : ℕ) :
     (X s ^ n : MvPolynomial σ R).support = {Finsupp.single s n} := by
-  rw [X_pow_eq_monomial, support_monomial, if_neg (one_ne_zero' R)]
+  classical rw [X_pow_eq_monomial, support_monomial, if_neg (one_ne_zero' R)]
 #align mv_polynomial.support_X_pow MvPolynomial.support_X_pow
 
 /- warning: mv_polynomial.support_zero -> MvPolynomial.support_zero is a dubious translation:
@@ -944,11 +944,11 @@ theorem support_smul {S₁ : Type _} [SMulZeroClass S₁ R] {a : S₁} {f : MvPo
 
 /- warning: mv_polynomial.support_sum -> MvPolynomial.support_sum is a dubious translation:
 lean 3 declaration is
-  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {α : Type.{u3}} {s : Finset.{u3} α} {f : α -> (MvPolynomial.{u2, u1} σ R _inst_1)}, HasSubset.Subset.{u2} (Finset.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (Finset.hasSubset.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (MvPolynomial.support.{u1, u2} R σ _inst_1 (Finset.sum.{max u2 u1, u3} (MvPolynomial.{u2, u1} σ R _inst_1) α (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) s (fun (x : α) => f x))) (Finset.biUnion.{u3, u2} α (Finsupp.{u2, 0} σ Nat Nat.hasZero) (fun (a : Finsupp.{u2, 0} σ Nat Nat.hasZero) (b : Finsupp.{u2, 0} σ Nat Nat.hasZero) => Finsupp.decidableEq.{u2, 0} σ Nat Nat.hasZero (fun (a : σ) (b : σ) => Classical.propDecidable (Eq.{succ u2} σ a b)) (fun (a : Nat) (b : Nat) => Nat.decidableEq a b) a b) s (fun (x : α) => MvPolynomial.support.{u1, u2} R σ _inst_1 (f x)))
+  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {α : Type.{u3}} [_inst_3 : DecidableEq.{succ u2} σ] {s : Finset.{u3} α} {f : α -> (MvPolynomial.{u2, u1} σ R _inst_1)}, HasSubset.Subset.{u2} (Finset.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (Finset.hasSubset.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (MvPolynomial.support.{u1, u2} R σ _inst_1 (Finset.sum.{max u2 u1, u3} (MvPolynomial.{u2, u1} σ R _inst_1) α (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) s (fun (x : α) => f x))) (Finset.biUnion.{u3, u2} α (Finsupp.{u2, 0} σ Nat Nat.hasZero) (fun (a : Finsupp.{u2, 0} σ Nat Nat.hasZero) (b : Finsupp.{u2, 0} σ Nat Nat.hasZero) => Finsupp.decidableEq.{u2, 0} σ Nat Nat.hasZero (fun (a : σ) (b : σ) => _inst_3 a b) (fun (a : Nat) (b : Nat) => Nat.decidableEq a b) a b) s (fun (x : α) => MvPolynomial.support.{u1, u2} R σ _inst_1 (f x)))
 but is expected to have type
-  forall {R : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u3} R] {α : Type.{u2}} {s : Finset.{u2} α} {f : α -> (MvPolynomial.{u1, u3} σ R _inst_1)}, HasSubset.Subset.{u1} (Finset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (Finset.instHasSubsetFinset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (MvPolynomial.support.{u3, u1} R σ _inst_1 (Finset.sum.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) α (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) s (fun (x : α) => f x))) (Finset.biUnion.{u2, u1} α (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (fun (a : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (b : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => Finsupp.decidableEq.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) (fun (a : σ) (b : σ) => Classical.propDecidable (Eq.{succ u1} σ a b)) (fun (a : Nat) (b : Nat) => instDecidableEqNat a b) a b) s (fun (x : α) => MvPolynomial.support.{u3, u1} R σ _inst_1 (f x)))
+  forall {R : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u3} R] {α : Type.{u2}} {_inst_3 : Finset.{u2} α} {s : α -> (MvPolynomial.{u1, u3} σ R _inst_1)}, HasSubset.Subset.{u1} (Finset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (Finset.instHasSubsetFinset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (MvPolynomial.support.{u3, u1} R σ _inst_1 (Finset.sum.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) α (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) _inst_3 (fun (x : α) => s x))) (Finset.biUnion.{u2, u1} α (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (fun (a : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (b : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => Finsupp.decidableEq.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) (fun (a : σ) (b : σ) => Classical.propDecidable (Eq.{succ u1} σ a b)) (fun (a : Nat) (b : Nat) => instDecidableEqNat a b) a b) _inst_3 (fun (x : α) => MvPolynomial.support.{u3, u1} R σ _inst_1 (s x)))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.support_sum MvPolynomial.support_sumₓ'. -/
-theorem support_sum {α : Type _} {s : Finset α} {f : α → MvPolynomial σ R} :
+theorem support_sum {α : Type _} [DecidableEq σ] {s : Finset α} {f : α → MvPolynomial σ R} :
     (∑ x in s, f x).support ⊆ s.biUnion fun x => (f x).support :=
   Finsupp.support_finset_sum
 #align mv_polynomial.support_sum MvPolynomial.support_sum
@@ -997,11 +997,11 @@ theorem sum_def {A} [AddCommMonoid A] {p : MvPolynomial σ R} {b : (σ →₀ 
 
 /- warning: mv_polynomial.support_mul -> MvPolynomial.support_mul is a dubious translation:
 lean 3 declaration is
-  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] (p : MvPolynomial.{u2, u1} σ R _inst_1) (q : MvPolynomial.{u2, u1} σ R _inst_1), HasSubset.Subset.{u2} (Finset.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (Finset.hasSubset.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (MvPolynomial.support.{u1, u2} R σ _inst_1 (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Distrib.toHasMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))) p q)) (Finset.biUnion.{u2, u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.{u2, 0} σ Nat Nat.hasZero) (fun (a : Finsupp.{u2, 0} σ Nat Nat.hasZero) (b : Finsupp.{u2, 0} σ Nat Nat.hasZero) => Finsupp.decidableEq.{u2, 0} σ Nat Nat.hasZero (fun (a : σ) (b : σ) => Classical.propDecidable (Eq.{succ u2} σ a b)) (fun (a : Nat) (b : Nat) => Nat.decidableEq a b) a b) (MvPolynomial.support.{u1, u2} R σ _inst_1 p) (fun (a : Finsupp.{u2, 0} σ Nat Nat.hasZero) => Finset.biUnion.{u2, u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.{u2, 0} σ Nat Nat.hasZero) (fun (a : Finsupp.{u2, 0} σ Nat Nat.hasZero) (b : Finsupp.{u2, 0} σ Nat Nat.hasZero) => Finsupp.decidableEq.{u2, 0} σ Nat Nat.hasZero (fun (a : σ) (b : σ) => Classical.propDecidable (Eq.{succ u2} σ a b)) (fun (a : Nat) (b : Nat) => Nat.decidableEq a b) a b) (MvPolynomial.support.{u1, u2} R σ _inst_1 q) (fun (b : Finsupp.{u2, 0} σ Nat Nat.hasZero) => Singleton.singleton.{u2, u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finset.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (Finset.hasSingleton.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (HAdd.hAdd.{u2, u2, u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.{u2, 0} σ Nat Nat.hasZero) (instHAdd.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.add.{u2, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid))) a b))))
+  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_3 : DecidableEq.{succ u2} σ] (p : MvPolynomial.{u2, u1} σ R _inst_1) (q : MvPolynomial.{u2, u1} σ R _inst_1), HasSubset.Subset.{u2} (Finset.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (Finset.hasSubset.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (MvPolynomial.support.{u1, u2} R σ _inst_1 (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Distrib.toHasMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))) p q)) (Finset.biUnion.{u2, u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.{u2, 0} σ Nat Nat.hasZero) (fun (a : Finsupp.{u2, 0} σ Nat Nat.hasZero) (b : Finsupp.{u2, 0} σ Nat Nat.hasZero) => Finsupp.decidableEq.{u2, 0} σ Nat Nat.hasZero (fun (a : σ) (b : σ) => _inst_3 a b) (fun (a : Nat) (b : Nat) => Nat.decidableEq a b) a b) (MvPolynomial.support.{u1, u2} R σ _inst_1 p) (fun (a : Finsupp.{u2, 0} σ Nat Nat.hasZero) => Finset.biUnion.{u2, u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.{u2, 0} σ Nat Nat.hasZero) (fun (a : Finsupp.{u2, 0} σ Nat Nat.hasZero) (b : Finsupp.{u2, 0} σ Nat Nat.hasZero) => Finsupp.decidableEq.{u2, 0} σ Nat Nat.hasZero (fun (a : σ) (b : σ) => _inst_3 a b) (fun (a : Nat) (b : Nat) => Nat.decidableEq a b) a b) (MvPolynomial.support.{u1, u2} R σ _inst_1 q) (fun (b : Finsupp.{u2, 0} σ Nat Nat.hasZero) => Singleton.singleton.{u2, u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finset.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (Finset.hasSingleton.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (HAdd.hAdd.{u2, u2, u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.{u2, 0} σ Nat Nat.hasZero) (instHAdd.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.add.{u2, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid))) a b))))
 but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] (p : MvPolynomial.{u1, u2} σ R _inst_1) (q : MvPolynomial.{u1, u2} σ R _inst_1), HasSubset.Subset.{u1} (Finset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (Finset.instHasSubsetFinset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (MvPolynomial.support.{u2, u1} R σ _inst_1 (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) p q)) (Finset.biUnion.{u1, u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (fun (a : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (b : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => Finsupp.decidableEq.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) (fun (a : σ) (b : σ) => Classical.propDecidable (Eq.{succ u1} σ a b)) (fun (a : Nat) (b : Nat) => instDecidableEqNat a b) a b) (MvPolynomial.support.{u2, u1} R σ _inst_1 p) (fun (a : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => Finset.biUnion.{u1, u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (fun (a : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (b : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => Finsupp.decidableEq.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) (fun (a : σ) (b : σ) => Classical.propDecidable (Eq.{succ u1} σ a b)) (fun (a : Nat) (b : Nat) => instDecidableEqNat a b) a b) (MvPolynomial.support.{u2, u1} R σ _inst_1 q) (fun (b : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => Singleton.singleton.{u1, u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (Finset.instSingletonFinset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (HAdd.hAdd.{u1, u1, u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (instHAdd.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.add.{u1, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid))) a b))))
+  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] (_inst_3 : MvPolynomial.{u1, u2} σ R _inst_1) (p : MvPolynomial.{u1, u2} σ R _inst_1), HasSubset.Subset.{u1} (Finset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (Finset.instHasSubsetFinset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (MvPolynomial.support.{u2, u1} R σ _inst_1 (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) _inst_3 p)) (Finset.biUnion.{u1, u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (fun (a : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (b : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => Finsupp.decidableEq.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) (fun (a : σ) (b : σ) => Classical.propDecidable (Eq.{succ u1} σ a b)) (fun (a : Nat) (b : Nat) => instDecidableEqNat a b) a b) (MvPolynomial.support.{u2, u1} R σ _inst_1 _inst_3) (fun (a : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => Finset.biUnion.{u1, u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (fun (a : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (b : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => Finsupp.decidableEq.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) (fun (a : σ) (b : σ) => Classical.propDecidable (Eq.{succ u1} σ a b)) (fun (a : Nat) (b : Nat) => instDecidableEqNat a b) a b) (MvPolynomial.support.{u2, u1} R σ _inst_1 p) (fun (b : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => Singleton.singleton.{u1, u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (Finset.instSingletonFinset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (HAdd.hAdd.{u1, u1, u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (instHAdd.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.add.{u1, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid))) a b))))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.support_mul MvPolynomial.support_mulₓ'. -/
-theorem support_mul (p q : MvPolynomial σ R) :
+theorem support_mul [DecidableEq σ] (p q : MvPolynomial σ R) :
     (p * q).support ⊆ p.support.biUnion fun a => q.support.biUnion fun b => {a + b} := by
   convert AddMonoidAlgebra.support_mul p q <;> ext <;> convert Iff.rfl
 #align mv_polynomial.support_mul MvPolynomial.support_mul
@@ -1194,7 +1194,7 @@ but is expected to have type
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.coeff_X MvPolynomial.coeff_Xₓ'. -/
 @[simp]
 theorem coeff_X (i : σ) : coeff (single i 1) (X i : MvPolynomial σ R) = 1 := by
-  rw [coeff_X', if_pos rfl]
+  classical rw [coeff_X', if_pos rfl]
 #align mv_polynomial.coeff_X MvPolynomial.coeff_X
 
 /- warning: mv_polynomial.coeff_C_mul -> MvPolynomial.coeff_C_mul is a dubious translation:
@@ -1204,11 +1204,11 @@ but is expected to have type
   forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] (m : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (a : R) (p : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{succ u2} R (MvPolynomial.coeff.{u2, u1} R σ _inst_1 m (HMul.hMul.{max u2 u1, max u2 u1, max u1 u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (instHMul.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (Semiring.toNonAssocSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (CommSemiring.toSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) a) p)) (HMul.hMul.{u2, u2, u2} R R R (instHMul.{u2} R (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) a (MvPolynomial.coeff.{u2, u1} R σ _inst_1 m p))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.coeff_C_mul MvPolynomial.coeff_C_mulₓ'. -/
 @[simp]
-theorem coeff_C_mul (m) (a : R) (p : MvPolynomial σ R) : coeff m (C a * p) = a * coeff m p :=
-  by
-  rw [mul_def, sum_C]
-  · simp (config := { contextual := true }) [sum_def, coeff_sum]
-  simp
+theorem coeff_C_mul (m) (a : R) (p : MvPolynomial σ R) : coeff m (C a * p) = a * coeff m p := by
+  classical
+    rw [mul_def, sum_C]
+    · simp (config := { contextual := true }) [sum_def, coeff_sum]
+    simp
 #align mv_polynomial.coeff_C_mul MvPolynomial.coeff_C_mul
 
 /- warning: mv_polynomial.coeff_mul -> MvPolynomial.coeff_mul is a dubious translation:
@@ -1343,26 +1343,26 @@ but is expected to have type
   forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] (m : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (s : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (r : R) (p : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{succ u2} R (MvPolynomial.coeff.{u2, u1} R σ _inst_1 m (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) r) (MvPolynomial.{u1, u2} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) p (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s) r))) (ite.{succ u2} R (LE.le.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.instLEFinsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) instLENat) s m) (Finsupp.decidableLE.{u1, 0} σ Nat (CanonicallyOrderedCommSemiring.toCanonicallyOrderedAddMonoid.{0} Nat Nat.canonicallyOrderedCommSemiring) (fun (a : Nat) (b : Nat) => Nat.decLe a b) s m) (HMul.hMul.{u2, u2, u2} R R R (instHMul.{u2} R (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) (MvPolynomial.coeff.{u2, u1} R σ _inst_1 (HSub.hSub.{u1, u1, u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (instHSub.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.tsub.{u1, 0} σ Nat (CanonicallyOrderedCommSemiring.toCanonicallyOrderedAddMonoid.{0} Nat Nat.canonicallyOrderedCommSemiring) instSubNat Nat.instOrderedSubNatInstLENatInstAddNatInstSubNat)) m s) p) r) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1)))))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.coeff_mul_monomial' MvPolynomial.coeff_mul_monomial'ₓ'. -/
 theorem coeff_mul_monomial' (m) (s : σ →₀ ℕ) (r : R) (p : MvPolynomial σ R) :
-    coeff m (p * monomial s r) = if s ≤ m then coeff (m - s) p * r else 0 :=
-  by
-  obtain rfl | hr := eq_or_ne r 0
-  · simp only [monomial_zero, coeff_zero, MulZeroClass.mul_zero, if_t_t]
-  haveI : Nontrivial R := nontrivial_of_ne _ _ hr
-  split_ifs with h h
-  · conv_rhs => rw [← coeff_mul_monomial _ s]
-    congr with t
-    rw [tsub_add_cancel_of_le h]
-  · rw [← not_mem_support_iff]
-    intro hm
-    apply h
-    have H := support_mul _ _ hm
-    simp only [Finset.mem_biUnion] at H
-    rcases H with ⟨j, hj, i', hi', H⟩
-    rw [support_monomial, if_neg hr, Finset.mem_singleton] at hi'
-    subst i'
-    rw [Finset.mem_singleton] at H
-    subst m
-    exact le_add_left le_rfl
+    coeff m (p * monomial s r) = if s ≤ m then coeff (m - s) p * r else 0 := by
+  classical
+    obtain rfl | hr := eq_or_ne r 0
+    · simp only [monomial_zero, coeff_zero, MulZeroClass.mul_zero, if_t_t]
+    haveI : Nontrivial R := nontrivial_of_ne _ _ hr
+    split_ifs with h h
+    · conv_rhs => rw [← coeff_mul_monomial _ s]
+      congr with t
+      rw [tsub_add_cancel_of_le h]
+    · rw [← not_mem_support_iff]
+      intro hm
+      apply h
+      have H := support_mul _ _ hm
+      simp only [Finset.mem_biUnion] at H
+      rcases H with ⟨j, hj, i', hi', H⟩
+      rw [support_monomial, if_neg hr, Finset.mem_singleton] at hi'
+      subst i'
+      rw [Finset.mem_singleton] at H
+      subst m
+      exact le_add_left le_rfl
 #align mv_polynomial.coeff_mul_monomial' MvPolynomial.coeff_mul_monomial'
 
 /- warning: mv_polynomial.coeff_monomial_mul' -> MvPolynomial.coeff_monomial_mul' is a dubious translation:
@@ -1671,8 +1671,8 @@ but is expected to have type
   forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] {p : MvPolynomial.{u1, u2} σ R _inst_1} {q : MvPolynomial.{u1, u2} σ R _inst_1} (f : RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (g : σ -> S₁), Eq.{succ u3} S₁ (MvPolynomial.eval₂.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f g (HAdd.hAdd.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (instHAdd.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Distrib.toAdd.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) p q)) (HAdd.hAdd.{u3, u3, u3} S₁ S₁ S₁ (instHAdd.{u3} S₁ (Distrib.toAdd.{u3} S₁ (NonUnitalNonAssocSemiring.toDistrib.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (MvPolynomial.eval₂.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f g p) (MvPolynomial.eval₂.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f g q))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval₂_add MvPolynomial.eval₂_addₓ'. -/
 @[simp]
-theorem eval₂_add : (p + q).eval₂ f g = p.eval₂ f g + q.eval₂ f g :=
-  Finsupp.sum_add_index (by simp [f.map_zero]) (by simp [add_mul, f.map_add])
+theorem eval₂_add : (p + q).eval₂ f g = p.eval₂ f g + q.eval₂ f g := by
+  classical exact Finsupp.sum_add_index (by simp [f.map_zero]) (by simp [add_mul, f.map_add])
 #align mv_polynomial.eval₂_add MvPolynomial.eval₂_add
 
 /- warning: mv_polynomial.eval₂_monomial -> MvPolynomial.eval₂_monomial is a dubious translation:
@@ -1726,22 +1726,22 @@ but is expected to have type
   forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] {p : MvPolynomial.{u1, u2} σ R _inst_1} (f : RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (g : σ -> S₁) {s : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)} {a : R}, Eq.{succ u3} S₁ (MvPolynomial.eval₂.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f g (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (MvPolynomial.{u1, u2} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) p (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s) a))) (HMul.hMul.{u3, u3, u3} S₁ S₁ S₁ (instHMul.{u3} S₁ (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))))) (HMul.hMul.{u3, u3, u3} S₁ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) S₁ (instHMul.{u3} S₁ (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))))) (MvPolynomial.eval₂.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f g p) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) _x) (MulHomClass.toFunLike.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) f a)) (Finsupp.prod.{u1, 0, u3} σ Nat S₁ (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) (CommSemiring.toCommMonoid.{u3} S₁ _inst_2) s (fun (n : σ) (e : Nat) => HPow.hPow.{u3, 0, u3} S₁ Nat S₁ (instHPow.{u3, 0} S₁ Nat (Monoid.Pow.{u3} S₁ (MonoidWithZero.toMonoid.{u3} S₁ (Semiring.toMonoidWithZero.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))))) (g n) e)))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval₂_mul_monomial MvPolynomial.eval₂_mul_monomialₓ'. -/
 theorem eval₂_mul_monomial :
-    ∀ {s a}, (p * monomial s a).eval₂ f g = p.eval₂ f g * f a * s.Prod fun n e => g n ^ e :=
-  by
-  apply MvPolynomial.induction_on p
-  · intro a' s a
-    simp [C_mul_monomial, eval₂_monomial, f.map_mul]
-  · intro p q ih_p ih_q
-    simp [add_mul, eval₂_add, ih_p, ih_q]
-  · intro p n ih s a
-    exact
-      calc
-        (p * X n * monomial s a).eval₂ f g = (p * monomial (single n 1 + s) a).eval₂ f g := by
-          rw [monomial_single_add, pow_one, mul_assoc]
-        _ = (p * monomial (single n 1) 1).eval₂ f g * f a * s.prod fun n e => g n ^ e := by
-          simp [ih, prod_single_index, prod_add_index, pow_one, pow_add, mul_assoc, mul_left_comm,
-            f.map_one, -add_comm]
-        
+    ∀ {s a}, (p * monomial s a).eval₂ f g = p.eval₂ f g * f a * s.Prod fun n e => g n ^ e := by
+  classical
+    apply MvPolynomial.induction_on p
+    · intro a' s a
+      simp [C_mul_monomial, eval₂_monomial, f.map_mul]
+    · intro p q ih_p ih_q
+      simp [add_mul, eval₂_add, ih_p, ih_q]
+    · intro p n ih s a
+      exact
+        calc
+          (p * X n * monomial s a).eval₂ f g = (p * monomial (single n 1 + s) a).eval₂ f g := by
+            rw [monomial_single_add, pow_one, mul_assoc]
+          _ = (p * monomial (single n 1) 1).eval₂ f g * f a * s.prod fun n e => g n ^ e := by
+            simp [ih, prod_single_index, prod_add_index, pow_one, pow_add, mul_assoc, mul_left_comm,
+              f.map_one, -add_comm]
+          
 #align mv_polynomial.eval₂_mul_monomial MvPolynomial.eval₂_mul_monomial
 
 /- warning: mv_polynomial.eval₂_mul_C -> MvPolynomial.eval₂_mul_C is a dubious translation:
@@ -2246,24 +2246,24 @@ lean 3 declaration is
 but is expected to have type
   forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] (f : RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (p : MvPolynomial.{u1, u2} σ R _inst_1) (m : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)), Eq.{succ u3} S₁ (MvPolynomial.coeff.{u3, u1} S₁ σ _inst_2 m (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u2) (succ u1), max (succ u3) (succ u1)} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u3} σ S₁ _inst_2) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (RingHom.instRingHomClassRingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))))) (MvPolynomial.map.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f) p)) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) _x) (MulHomClass.toFunLike.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) f (MvPolynomial.coeff.{u2, u1} R σ _inst_1 m p))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.coeff_map MvPolynomial.coeff_mapₓ'. -/
-theorem coeff_map (p : MvPolynomial σ R) : ∀ m : σ →₀ ℕ, coeff m (map f p) = f (coeff m p) :=
-  by
-  apply MvPolynomial.induction_on p <;> clear p
-  · intro r m
-    rw [map_C]
-    simp only [coeff_C]
-    split_ifs
-    · rfl
-    rw [f.map_zero]
-  · intro p q hp hq m
-    simp only [hp, hq, (map f).map_add, coeff_add]
-    rw [f.map_add]
-  · intro p i hp m
-    simp only [hp, (map f).map_mul, map_X]
-    simp only [hp, mem_support_iff, coeff_mul_X']
-    split_ifs
-    · rfl
-    rw [f.map_zero]
+theorem coeff_map (p : MvPolynomial σ R) : ∀ m : σ →₀ ℕ, coeff m (map f p) = f (coeff m p) := by
+  classical
+    apply MvPolynomial.induction_on p <;> clear p
+    · intro r m
+      rw [map_C]
+      simp only [coeff_C]
+      split_ifs
+      · rfl
+      rw [f.map_zero]
+    · intro p q hp hq m
+      simp only [hp, hq, (map f).map_add, coeff_add]
+      rw [f.map_add]
+    · intro p i hp m
+      simp only [hp, (map f).map_mul, map_X]
+      simp only [hp, mem_support_iff, coeff_mul_X']
+      split_ifs
+      · rfl
+      rw [f.map_zero]
 #align mv_polynomial.coeff_map MvPolynomial.coeff_map
 
 /- warning: mv_polynomial.map_injective -> MvPolynomial.map_injective is a dubious translation:

mathlib commit https://github.com/leanprover-community/mathlib/commit/e3fb84046afd187b710170887195d50bada934ee

@@ -944,12 +944,12 @@ theorem support_smul {S₁ : Type _} [SMulZeroClass S₁ R] {a : S₁} {f : MvPo
 
 /- warning: mv_polynomial.support_sum -> MvPolynomial.support_sum is a dubious translation:
 lean 3 declaration is
-  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {α : Type.{u3}} {s : Finset.{u3} α} {f : α -> (MvPolynomial.{u2, u1} σ R _inst_1)}, HasSubset.Subset.{u2} (Finset.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (Finset.hasSubset.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (MvPolynomial.support.{u1, u2} R σ _inst_1 (Finset.sum.{max u2 u1, u3} (MvPolynomial.{u2, u1} σ R _inst_1) α (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) s (fun (x : α) => f x))) (Finset.bunionᵢ.{u3, u2} α (Finsupp.{u2, 0} σ Nat Nat.hasZero) (fun (a : Finsupp.{u2, 0} σ Nat Nat.hasZero) (b : Finsupp.{u2, 0} σ Nat Nat.hasZero) => Finsupp.decidableEq.{u2, 0} σ Nat Nat.hasZero (fun (a : σ) (b : σ) => Classical.propDecidable (Eq.{succ u2} σ a b)) (fun (a : Nat) (b : Nat) => Nat.decidableEq a b) a b) s (fun (x : α) => MvPolynomial.support.{u1, u2} R σ _inst_1 (f x)))
+  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {α : Type.{u3}} {s : Finset.{u3} α} {f : α -> (MvPolynomial.{u2, u1} σ R _inst_1)}, HasSubset.Subset.{u2} (Finset.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (Finset.hasSubset.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (MvPolynomial.support.{u1, u2} R σ _inst_1 (Finset.sum.{max u2 u1, u3} (MvPolynomial.{u2, u1} σ R _inst_1) α (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) s (fun (x : α) => f x))) (Finset.biUnion.{u3, u2} α (Finsupp.{u2, 0} σ Nat Nat.hasZero) (fun (a : Finsupp.{u2, 0} σ Nat Nat.hasZero) (b : Finsupp.{u2, 0} σ Nat Nat.hasZero) => Finsupp.decidableEq.{u2, 0} σ Nat Nat.hasZero (fun (a : σ) (b : σ) => Classical.propDecidable (Eq.{succ u2} σ a b)) (fun (a : Nat) (b : Nat) => Nat.decidableEq a b) a b) s (fun (x : α) => MvPolynomial.support.{u1, u2} R σ _inst_1 (f x)))
 but is expected to have type
-  forall {R : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u3} R] {α : Type.{u2}} {s : Finset.{u2} α} {f : α -> (MvPolynomial.{u1, u3} σ R _inst_1)}, HasSubset.Subset.{u1} (Finset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (Finset.instHasSubsetFinset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (MvPolynomial.support.{u3, u1} R σ _inst_1 (Finset.sum.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) α (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) s (fun (x : α) => f x))) (Finset.bunionᵢ.{u2, u1} α (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (fun (a : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (b : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => Finsupp.decidableEq.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) (fun (a : σ) (b : σ) => Classical.propDecidable (Eq.{succ u1} σ a b)) (fun (a : Nat) (b : Nat) => instDecidableEqNat a b) a b) s (fun (x : α) => MvPolynomial.support.{u3, u1} R σ _inst_1 (f x)))
+  forall {R : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u3} R] {α : Type.{u2}} {s : Finset.{u2} α} {f : α -> (MvPolynomial.{u1, u3} σ R _inst_1)}, HasSubset.Subset.{u1} (Finset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (Finset.instHasSubsetFinset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (MvPolynomial.support.{u3, u1} R σ _inst_1 (Finset.sum.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) α (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) s (fun (x : α) => f x))) (Finset.biUnion.{u2, u1} α (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (fun (a : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (b : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => Finsupp.decidableEq.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) (fun (a : σ) (b : σ) => Classical.propDecidable (Eq.{succ u1} σ a b)) (fun (a : Nat) (b : Nat) => instDecidableEqNat a b) a b) s (fun (x : α) => MvPolynomial.support.{u3, u1} R σ _inst_1 (f x)))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.support_sum MvPolynomial.support_sumₓ'. -/
 theorem support_sum {α : Type _} {s : Finset α} {f : α → MvPolynomial σ R} :
-    (∑ x in s, f x).support ⊆ s.bunionᵢ fun x => (f x).support :=
+    (∑ x in s, f x).support ⊆ s.biUnion fun x => (f x).support :=
   Finsupp.support_finset_sum
 #align mv_polynomial.support_sum MvPolynomial.support_sum
 
@@ -997,12 +997,12 @@ theorem sum_def {A} [AddCommMonoid A] {p : MvPolynomial σ R} {b : (σ →₀ 
 
 /- warning: mv_polynomial.support_mul -> MvPolynomial.support_mul is a dubious translation:
 lean 3 declaration is
-  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] (p : MvPolynomial.{u2, u1} σ R _inst_1) (q : MvPolynomial.{u2, u1} σ R _inst_1), HasSubset.Subset.{u2} (Finset.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (Finset.hasSubset.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (MvPolynomial.support.{u1, u2} R σ _inst_1 (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Distrib.toHasMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))) p q)) (Finset.bunionᵢ.{u2, u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.{u2, 0} σ Nat Nat.hasZero) (fun (a : Finsupp.{u2, 0} σ Nat Nat.hasZero) (b : Finsupp.{u2, 0} σ Nat Nat.hasZero) => Finsupp.decidableEq.{u2, 0} σ Nat Nat.hasZero (fun (a : σ) (b : σ) => Classical.propDecidable (Eq.{succ u2} σ a b)) (fun (a : Nat) (b : Nat) => Nat.decidableEq a b) a b) (MvPolynomial.support.{u1, u2} R σ _inst_1 p) (fun (a : Finsupp.{u2, 0} σ Nat Nat.hasZero) => Finset.bunionᵢ.{u2, u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.{u2, 0} σ Nat Nat.hasZero) (fun (a : Finsupp.{u2, 0} σ Nat Nat.hasZero) (b : Finsupp.{u2, 0} σ Nat Nat.hasZero) => Finsupp.decidableEq.{u2, 0} σ Nat Nat.hasZero (fun (a : σ) (b : σ) => Classical.propDecidable (Eq.{succ u2} σ a b)) (fun (a : Nat) (b : Nat) => Nat.decidableEq a b) a b) (MvPolynomial.support.{u1, u2} R σ _inst_1 q) (fun (b : Finsupp.{u2, 0} σ Nat Nat.hasZero) => Singleton.singleton.{u2, u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finset.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (Finset.hasSingleton.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (HAdd.hAdd.{u2, u2, u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.{u2, 0} σ Nat Nat.hasZero) (instHAdd.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.add.{u2, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid))) a b))))
+  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] (p : MvPolynomial.{u2, u1} σ R _inst_1) (q : MvPolynomial.{u2, u1} σ R _inst_1), HasSubset.Subset.{u2} (Finset.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (Finset.hasSubset.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (MvPolynomial.support.{u1, u2} R σ _inst_1 (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Distrib.toHasMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))) p q)) (Finset.biUnion.{u2, u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.{u2, 0} σ Nat Nat.hasZero) (fun (a : Finsupp.{u2, 0} σ Nat Nat.hasZero) (b : Finsupp.{u2, 0} σ Nat Nat.hasZero) => Finsupp.decidableEq.{u2, 0} σ Nat Nat.hasZero (fun (a : σ) (b : σ) => Classical.propDecidable (Eq.{succ u2} σ a b)) (fun (a : Nat) (b : Nat) => Nat.decidableEq a b) a b) (MvPolynomial.support.{u1, u2} R σ _inst_1 p) (fun (a : Finsupp.{u2, 0} σ Nat Nat.hasZero) => Finset.biUnion.{u2, u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.{u2, 0} σ Nat Nat.hasZero) (fun (a : Finsupp.{u2, 0} σ Nat Nat.hasZero) (b : Finsupp.{u2, 0} σ Nat Nat.hasZero) => Finsupp.decidableEq.{u2, 0} σ Nat Nat.hasZero (fun (a : σ) (b : σ) => Classical.propDecidable (Eq.{succ u2} σ a b)) (fun (a : Nat) (b : Nat) => Nat.decidableEq a b) a b) (MvPolynomial.support.{u1, u2} R σ _inst_1 q) (fun (b : Finsupp.{u2, 0} σ Nat Nat.hasZero) => Singleton.singleton.{u2, u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finset.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (Finset.hasSingleton.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (HAdd.hAdd.{u2, u2, u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.{u2, 0} σ Nat Nat.hasZero) (instHAdd.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.add.{u2, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid))) a b))))
 but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] (p : MvPolynomial.{u1, u2} σ R _inst_1) (q : MvPolynomial.{u1, u2} σ R _inst_1), HasSubset.Subset.{u1} (Finset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (Finset.instHasSubsetFinset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (MvPolynomial.support.{u2, u1} R σ _inst_1 (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) p q)) (Finset.bunionᵢ.{u1, u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (fun (a : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (b : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => Finsupp.decidableEq.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) (fun (a : σ) (b : σ) => Classical.propDecidable (Eq.{succ u1} σ a b)) (fun (a : Nat) (b : Nat) => instDecidableEqNat a b) a b) (MvPolynomial.support.{u2, u1} R σ _inst_1 p) (fun (a : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => Finset.bunionᵢ.{u1, u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (fun (a : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (b : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => Finsupp.decidableEq.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) (fun (a : σ) (b : σ) => Classical.propDecidable (Eq.{succ u1} σ a b)) (fun (a : Nat) (b : Nat) => instDecidableEqNat a b) a b) (MvPolynomial.support.{u2, u1} R σ _inst_1 q) (fun (b : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => Singleton.singleton.{u1, u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (Finset.instSingletonFinset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (HAdd.hAdd.{u1, u1, u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (instHAdd.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.add.{u1, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid))) a b))))
+  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] (p : MvPolynomial.{u1, u2} σ R _inst_1) (q : MvPolynomial.{u1, u2} σ R _inst_1), HasSubset.Subset.{u1} (Finset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (Finset.instHasSubsetFinset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (MvPolynomial.support.{u2, u1} R σ _inst_1 (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) p q)) (Finset.biUnion.{u1, u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (fun (a : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (b : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => Finsupp.decidableEq.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) (fun (a : σ) (b : σ) => Classical.propDecidable (Eq.{succ u1} σ a b)) (fun (a : Nat) (b : Nat) => instDecidableEqNat a b) a b) (MvPolynomial.support.{u2, u1} R σ _inst_1 p) (fun (a : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => Finset.biUnion.{u1, u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (fun (a : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (b : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => Finsupp.decidableEq.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) (fun (a : σ) (b : σ) => Classical.propDecidable (Eq.{succ u1} σ a b)) (fun (a : Nat) (b : Nat) => instDecidableEqNat a b) a b) (MvPolynomial.support.{u2, u1} R σ _inst_1 q) (fun (b : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => Singleton.singleton.{u1, u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (Finset.instSingletonFinset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (HAdd.hAdd.{u1, u1, u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (instHAdd.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.add.{u1, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid))) a b))))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.support_mul MvPolynomial.support_mulₓ'. -/
 theorem support_mul (p q : MvPolynomial σ R) :
-    (p * q).support ⊆ p.support.bunionᵢ fun a => q.support.bunionᵢ fun b => {a + b} := by
+    (p * q).support ⊆ p.support.biUnion fun a => q.support.biUnion fun b => {a + b} := by
   convert AddMonoidAlgebra.support_mul p q <;> ext <;> convert Iff.rfl
 #align mv_polynomial.support_mul MvPolynomial.support_mul
 
@@ -1356,7 +1356,7 @@ theorem coeff_mul_monomial' (m) (s : σ →₀ ℕ) (r : R) (p : MvPolynomial σ
     intro hm
     apply h
     have H := support_mul _ _ hm
-    simp only [Finset.mem_bunionᵢ] at H
+    simp only [Finset.mem_biUnion] at H
     rcases H with ⟨j, hj, i', hi', H⟩
     rw [support_monomial, if_neg hr, Finset.mem_singleton] at hi'
     subst i'

mathlib commit https://github.com/leanprover-community/mathlib/commit/4c8f86bdbe06f92960d0eb314da8ca64a9d33bca

@@ -2948,6 +2948,12 @@ section EvalMem
 
 variable {S subS : Type _} [CommSemiring S] [SetLike subS S] [SubsemiringClass subS S]
 
+/- warning: mv_polynomial.eval₂_mem -> MvPolynomial.eval₂_mem is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {S : Type.{u3}} {subS : Type.{u4}} [_inst_3 : CommSemiring.{u3} S] [_inst_4 : SetLike.{u4, u3} subS S] [_inst_5 : SubsemiringClass.{u3, u4} subS S (Semiring.toNonAssocSemiring.{u3} S (CommSemiring.toSemiring.{u3} S _inst_3)) _inst_4] {f : RingHom.{u1, u3} R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S (CommSemiring.toSemiring.{u3} S _inst_3))} {p : MvPolynomial.{u2, u1} σ R _inst_1} {s : subS}, (forall (i : Finsupp.{u2, 0} σ Nat Nat.hasZero), (Membership.Mem.{u2, u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finset.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (Finset.hasMem.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) i (MvPolynomial.support.{u1, u2} R σ _inst_1 p)) -> (Membership.Mem.{u3, u4} S subS (SetLike.hasMem.{u4, u3} subS S _inst_4) (coeFn.{max (succ u1) (succ u3), max (succ u1) (succ u3)} (RingHom.{u1, u3} R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S (CommSemiring.toSemiring.{u3} S _inst_3))) (fun (_x : RingHom.{u1, u3} R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S (CommSemiring.toSemiring.{u3} S _inst_3))) => R -> S) (RingHom.hasCoeToFun.{u1, u3} R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S (CommSemiring.toSemiring.{u3} S _inst_3))) f (MvPolynomial.coeff.{u1, u2} R σ _inst_1 i p)) s)) -> (forall {v : σ -> S}, (forall (i : σ), Membership.Mem.{u3, u4} S subS (SetLike.hasMem.{u4, u3} subS S _inst_4) (v i) s) -> (Membership.Mem.{u3, u4} S subS (SetLike.hasMem.{u4, u3} subS S _inst_4) (MvPolynomial.eval₂.{u1, u3, u2} R S σ _inst_1 _inst_3 f v p) s))
+but is expected to have type
+  forall {R : Type.{u4}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u4} R] {S : Type.{u3}} {subS : Type.{u1}} [_inst_3 : CommSemiring.{u3} S] [_inst_4 : SetLike.{u1, u3} subS S] [_inst_5 : SubsemiringClass.{u3, u1} subS S (Semiring.toNonAssocSemiring.{u3} S (CommSemiring.toSemiring.{u3} S _inst_3)) _inst_4] {f : RingHom.{u4, u3} R S (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S (CommSemiring.toSemiring.{u3} S _inst_3))} {p : MvPolynomial.{u2, u4} σ R _inst_1} {s : subS}, (forall (i : Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)), (Membership.mem.{u2, u2} (Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finset.{u2} (Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (Finset.instMembershipFinset.{u2} (Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) i (MvPolynomial.support.{u4, u2} R σ _inst_1 p)) -> (Membership.mem.{u3, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S) (MvPolynomial.coeff.{u4, u2} R σ _inst_1 i p)) subS (SetLike.instMembership.{u1, u3} subS S _inst_4) (FunLike.coe.{max (succ u4) (succ u3), succ u4, succ u3} (RingHom.{u4, u3} R S (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S (CommSemiring.toSemiring.{u3} S _inst_3))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S) _x) (MulHomClass.toFunLike.{max u4 u3, u4, u3} (RingHom.{u4, u3} R S (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S (CommSemiring.toSemiring.{u3} S _inst_3))) R S (NonUnitalNonAssocSemiring.toMul.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S (Semiring.toNonAssocSemiring.{u3} S (CommSemiring.toSemiring.{u3} S _inst_3)))) (NonUnitalRingHomClass.toMulHomClass.{max u4 u3, u4, u3} (RingHom.{u4, u3} R S (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S (CommSemiring.toSemiring.{u3} S _inst_3))) R S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S (Semiring.toNonAssocSemiring.{u3} S (CommSemiring.toSemiring.{u3} S _inst_3))) (RingHomClass.toNonUnitalRingHomClass.{max u4 u3, u4, u3} (RingHom.{u4, u3} R S (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S (CommSemiring.toSemiring.{u3} S _inst_3))) R S (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S (CommSemiring.toSemiring.{u3} S _inst_3)) (RingHom.instRingHomClassRingHom.{u4, u3} R S (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S (CommSemiring.toSemiring.{u3} S _inst_3)))))) f (MvPolynomial.coeff.{u4, u2} R σ _inst_1 i p)) s)) -> (forall {v : σ -> S}, (forall (i : σ), Membership.mem.{u3, u1} S subS (SetLike.instMembership.{u1, u3} subS S _inst_4) (v i) s) -> (Membership.mem.{u3, u1} S subS (SetLike.instMembership.{u1, u3} subS S _inst_4) (MvPolynomial.eval₂.{u4, u3, u2} R S σ _inst_1 _inst_3 f v p) s))
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval₂_mem MvPolynomial.eval₂_memₓ'. -/
 theorem eval₂_mem {f : R →+* S} {p : MvPolynomial σ R} {s : subS}
     (hs : ∀ i ∈ p.support, f (p.coeff i) ∈ s) {v : σ → S} (hv : ∀ i, v i ∈ s) :
     MvPolynomial.eval₂ f v p ∈ s := by
@@ -2974,6 +2980,12 @@ theorem eval₂_mem {f : R →+* S} {p : MvPolynomial σ R} {s : subS}
     · rwa [zero_add] at this
 #align mv_polynomial.eval₂_mem MvPolynomial.eval₂_mem
 
+/- warning: mv_polynomial.eval_mem -> MvPolynomial.eval_mem is a dubious translation:
+lean 3 declaration is
+  forall {σ : Type.{u1}} {S : Type.{u2}} {subS : Type.{u3}} [_inst_3 : CommSemiring.{u2} S] [_inst_4 : SetLike.{u3, u2} subS S] [_inst_5 : SubsemiringClass.{u2, u3} subS S (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_3)) _inst_4] {p : MvPolynomial.{u1, u2} σ S _inst_3} {s : subS}, (forall (i : Finsupp.{u1, 0} σ Nat Nat.hasZero), (Membership.Mem.{u1, u1} (Finsupp.{u1, 0} σ Nat Nat.hasZero) (Finset.{u1} (Finsupp.{u1, 0} σ Nat Nat.hasZero)) (Finset.hasMem.{u1} (Finsupp.{u1, 0} σ Nat Nat.hasZero)) i (MvPolynomial.support.{u2, u1} S σ _inst_3 p)) -> (Membership.Mem.{u2, u3} S subS (SetLike.hasMem.{u3, u2} subS S _inst_4) (MvPolynomial.coeff.{u2, u1} S σ _inst_3 i p) s)) -> (forall {v : σ -> S}, (forall (i : σ), Membership.Mem.{u2, u3} S subS (SetLike.hasMem.{u3, u2} subS S _inst_4) (v i) s) -> (Membership.Mem.{u2, u3} S subS (SetLike.hasMem.{u3, u2} subS S _inst_4) (coeFn.{max (succ (max u1 u2)) (succ u2), max (succ (max u1 u2)) (succ u2)} (RingHom.{max u1 u2, u2} (MvPolynomial.{u1, u2} σ S _inst_3) S (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ S _inst_3) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ S _inst_3) (MvPolynomial.commSemiring.{u2, u1} S σ _inst_3))) (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_3))) (fun (_x : RingHom.{max u1 u2, u2} (MvPolynomial.{u1, u2} σ S _inst_3) S (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ S _inst_3) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ S _inst_3) (MvPolynomial.commSemiring.{u2, u1} S σ _inst_3))) (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_3))) => (MvPolynomial.{u1, u2} σ S _inst_3) -> S) (RingHom.hasCoeToFun.{max u1 u2, u2} (MvPolynomial.{u1, u2} σ S _inst_3) S (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ S _inst_3) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ S _inst_3) (MvPolynomial.commSemiring.{u2, u1} S σ _inst_3))) (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_3))) (MvPolynomial.eval.{u2, u1} S σ _inst_3 v) p) s))
+but is expected to have type
+  forall {σ : Type.{u3}} {S : Type.{u2}} {subS : Type.{u1}} [_inst_3 : CommSemiring.{u2} S] [_inst_4 : SetLike.{u1, u2} subS S] [_inst_5 : SubsemiringClass.{u2, u1} subS S (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_3)) _inst_4] {p : MvPolynomial.{u3, u2} σ S _inst_3} {s : subS}, (forall (i : Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)), (Membership.mem.{u3, u3} (Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finset.{u3} (Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (Finset.instMembershipFinset.{u3} (Finsupp.{u3, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) i (MvPolynomial.support.{u2, u3} S σ _inst_3 p)) -> (Membership.mem.{u2, u1} S subS (SetLike.instMembership.{u1, u2} subS S _inst_4) (MvPolynomial.coeff.{u2, u3} S σ _inst_3 i p) s)) -> (forall {v : σ -> S}, (forall (i : σ), Membership.mem.{u2, u1} S subS (SetLike.instMembership.{u1, u2} subS S _inst_4) (v i) s) -> (Membership.mem.{u2, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u3, u2} σ S _inst_3) => S) p) subS (SetLike.instMembership.{u1, u2} subS S _inst_4) (FunLike.coe.{max (succ u3) (succ u2), max (succ u3) (succ u2), succ u2} (RingHom.{max u2 u3, u2} (MvPolynomial.{u3, u2} σ S _inst_3) S (Semiring.toNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} σ S _inst_3) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u3, u2} σ S _inst_3) (MvPolynomial.commSemiring.{u2, u3} S σ _inst_3))) (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_3))) (MvPolynomial.{u3, u2} σ S _inst_3) (fun (_x : MvPolynomial.{u3, u2} σ S _inst_3) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u3, u2} σ S _inst_3) => S) _x) (MulHomClass.toFunLike.{max u3 u2, max u3 u2, u2} (RingHom.{max u2 u3, u2} (MvPolynomial.{u3, u2} σ S _inst_3) S (Semiring.toNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} σ S _inst_3) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u3, u2} σ S _inst_3) (MvPolynomial.commSemiring.{u2, u3} S σ _inst_3))) (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_3))) (MvPolynomial.{u3, u2} σ S _inst_3) S (NonUnitalNonAssocSemiring.toMul.{max u3 u2} (MvPolynomial.{u3, u2} σ S _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S _inst_3) (Semiring.toNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} σ S _inst_3) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u3, u2} σ S _inst_3) (MvPolynomial.commSemiring.{u2, u3} S σ _inst_3))))) (NonUnitalNonAssocSemiring.toMul.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_3)))) (NonUnitalRingHomClass.toMulHomClass.{max u3 u2, max u3 u2, u2} (RingHom.{max u2 u3, u2} (MvPolynomial.{u3, u2} σ S _inst_3) S (Semiring.toNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} σ S _inst_3) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u3, u2} σ S _inst_3) (MvPolynomial.commSemiring.{u2, u3} S σ _inst_3))) (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_3))) (MvPolynomial.{u3, u2} σ S _inst_3) S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S _inst_3) (Semiring.toNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} σ S _inst_3) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u3, u2} σ S _inst_3) (MvPolynomial.commSemiring.{u2, u3} S σ _inst_3)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_3))) (RingHomClass.toNonUnitalRingHomClass.{max u3 u2, max u3 u2, u2} (RingHom.{max u2 u3, u2} (MvPolynomial.{u3, u2} σ S _inst_3) S (Semiring.toNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} σ S _inst_3) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u3, u2} σ S _inst_3) (MvPolynomial.commSemiring.{u2, u3} S σ _inst_3))) (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_3))) (MvPolynomial.{u3, u2} σ S _inst_3) S (Semiring.toNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} σ S _inst_3) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u3, u2} σ S _inst_3) (MvPolynomial.commSemiring.{u2, u3} S σ _inst_3))) (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_3)) (RingHom.instRingHomClassRingHom.{max u3 u2, u2} (MvPolynomial.{u3, u2} σ S _inst_3) S (Semiring.toNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} σ S _inst_3) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u3, u2} σ S _inst_3) (MvPolynomial.commSemiring.{u2, u3} S σ _inst_3))) (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_3)))))) (MvPolynomial.eval.{u2, u3} S σ _inst_3 v) p) s))
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval_mem MvPolynomial.eval_memₓ'. -/
 theorem eval_mem {p : MvPolynomial σ S} {s : subS} (hs : ∀ i ∈ p.support, p.coeff i ∈ s) {v : σ → S}
     (hv : ∀ i, v i ∈ s) : MvPolynomial.eval v p ∈ s :=
   eval₂_mem hs hv

mathlib commit https://github.com/leanprover-community/mathlib/commit/3905fa80e62c0898131285baab35559fbc4e5cda

@@ -410,6 +410,12 @@ Case conversion may be inaccurate. Consider using '#align mv_polynomial.C_eq_smu
 theorem C_eq_smul_one : (C a : MvPolynomial σ R) = a • 1 := by rw [← C_mul', mul_one]
 #align mv_polynomial.C_eq_smul_one MvPolynomial.C_eq_smul_one
 
+/- warning: mv_polynomial.smul_monomial -> MvPolynomial.smul_monomial is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {σ : Type.{u2}} {a : R} {s : Finsupp.{u2, 0} σ Nat Nat.hasZero} [_inst_1 : CommSemiring.{u1} R] {S₁ : Type.{u3}} [_inst_3 : SMulZeroClass.{u3, u1} S₁ R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))] (r : S₁), Eq.{succ (max u2 u1)} (MvPolynomial.{u2, u1} σ R _inst_1) (SMul.smul.{u3, max u2 u1} S₁ (MvPolynomial.{u2, u1} σ R _inst_1) (SMulZeroClass.toHasSmul.{u3, max u2 u1} S₁ (MvPolynomial.{u2, u1} σ R _inst_1) (MulZeroClass.toHasZero.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toMulZeroClass.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))))) (MvPolynomial.smulZeroClass.{u3, u1, u2} S₁ R σ _inst_1 _inst_3)) r (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 s) a)) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 s) (SMul.smul.{u3, u1} S₁ R (SMulZeroClass.toHasSmul.{u3, u1} S₁ R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) _inst_3) r a))
+but is expected to have type
+  forall {R : Type.{u3}} {σ : Type.{u1}} {a : R} {s : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)} [_inst_1 : CommSemiring.{u3} R] {S₁ : Type.{u2}} [_inst_3 : SMulZeroClass.{u2, u3} S₁ R (CommMonoidWithZero.toZero.{u3} R (CommSemiring.toCommMonoidWithZero.{u3} R _inst_1))] (r : S₁), Eq.{max (succ u3) (succ u1)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u3} σ R _inst_1) a) (HSMul.hSMul.{u2, max u3 u1, max u3 u1} S₁ ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u3} σ R _inst_1) a) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u3} σ R _inst_1) a) (instHSMul.{u2, max u3 u1} S₁ ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u3} σ R _inst_1) a) (SMulZeroClass.toSMul.{u2, max u3 u1} S₁ ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u3} σ R _inst_1) a) (CommMonoidWithZero.toZero.{max u3 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u3} σ R _inst_1) a) (CommSemiring.toCommMonoidWithZero.{max u3 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u3} σ R _inst_1) a) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (MvPolynomial.smulZeroClass.{u2, u3, u1} S₁ R σ _inst_1 _inst_3))) r (FunLike.coe.{max (succ u1) (succ u3), succ u3, max (succ u1) (succ u3)} (LinearMap.{u3, u3, u3, max u3 u1} R R (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) R (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (MvPolynomial.module.{u3, u3, u1} R R σ (CommSemiring.toSemiring.{u3} R _inst_1) _inst_1 (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u3} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u3, u3, u3, max u1 u3} R R R (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (MvPolynomial.module.{u3, u3, u1} R R σ (CommSemiring.toSemiring.{u3} R _inst_1) _inst_1 (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (MvPolynomial.monomial.{u3, u1} R σ _inst_1 s) a)) (FunLike.coe.{max (succ u1) (succ u3), succ u3, max (succ u1) (succ u3)} (LinearMap.{u3, u3, u3, max u3 u1} R R (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) R (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (MvPolynomial.module.{u3, u3, u1} R R σ (CommSemiring.toSemiring.{u3} R _inst_1) _inst_1 (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u3} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u3, u3, u3, max u1 u3} R R R (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (MvPolynomial.module.{u3, u3, u1} R R σ (CommSemiring.toSemiring.{u3} R _inst_1) _inst_1 (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (MvPolynomial.monomial.{u3, u1} R σ _inst_1 s) (HSMul.hSMul.{u2, u3, u3} S₁ R R (instHSMul.{u2, u3} S₁ R (SMulZeroClass.toSMul.{u2, u3} S₁ R (CommMonoidWithZero.toZero.{u3} R (CommSemiring.toCommMonoidWithZero.{u3} R _inst_1)) _inst_3)) r a))
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.smul_monomial MvPolynomial.smul_monomialₓ'. -/
 theorem smul_monomial {S₁ : Type _} [SMulZeroClass S₁ R] (r : S₁) :
     r • monomial s a = monomial s (r • a) :=
   Finsupp.smul_single _ _ _
@@ -779,7 +785,7 @@ theorem is_id (f : MvPolynomial σ R →+* MvPolynomial σ R) (hC : f.comp C = C
 lean 3 declaration is
   forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {A : Type.{u3}} {B : Type.{u4}} [_inst_3 : CommSemiring.{u3} A] [_inst_4 : CommSemiring.{u4} B] [_inst_5 : Algebra.{u1, u3} R A _inst_1 (CommSemiring.toSemiring.{u3} A _inst_3)] [_inst_6 : Algebra.{u1, u4} R B _inst_1 (CommSemiring.toSemiring.{u4} B _inst_4)] {f : AlgHom.{u1, max u2 u3, u4} R (MvPolynomial.{u2, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u2} A σ _inst_3)) (CommSemiring.toSemiring.{u4} B _inst_4) (MvPolynomial.algebra.{u1, u3, u2} R A σ _inst_1 _inst_3 _inst_5) _inst_6} {g : AlgHom.{u1, max u2 u3, u4} R (MvPolynomial.{u2, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u2} A σ _inst_3)) (CommSemiring.toSemiring.{u4} B _inst_4) (MvPolynomial.algebra.{u1, u3, u2} R A σ _inst_1 _inst_3 _inst_5) _inst_6}, (Eq.{max (succ u3) (succ u4)} (AlgHom.{u1, u3, u4} R A B _inst_1 (CommSemiring.toSemiring.{u3} A _inst_3) (CommSemiring.toSemiring.{u4} B _inst_4) _inst_5 _inst_6) (AlgHom.comp.{u1, u3, max u2 u3, u4} R A (MvPolynomial.{u2, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{u3} A _inst_3) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u2} A σ _inst_3)) (CommSemiring.toSemiring.{u4} B _inst_4) _inst_5 (MvPolynomial.algebra.{u1, u3, u2} R A σ _inst_1 _inst_3 _inst_5) _inst_6 f (IsScalarTower.toAlgHom.{u1, u3, max u2 u3} R A (MvPolynomial.{u2, u3} σ A _inst_3) _inst_1 _inst_3 (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u2} A σ _inst_3)) _inst_5 (MvPolynomial.algebra.{u3, u3, u2} A A σ _inst_3 _inst_3 (Algebra.id.{u3} A _inst_3)) (MvPolynomial.algebra.{u1, u3, u2} R A σ _inst_1 _inst_3 _inst_5) (MvPolynomial.isScalarTower.{u1, u3, u3, u2} R A A σ _inst_3 (SMulZeroClass.toHasSmul.{u1, u3} R A (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3))))))) (SMulWithZero.toSmulZeroClass.{u1, u3} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3))))))) (MulActionWithZero.toSMulWithZero.{u1, u3} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3))))))) (Module.toMulActionWithZero.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3)))) (Algebra.toModule.{u1, u3} R A _inst_1 (CommSemiring.toSemiring.{u3} A _inst_3) _inst_5))))) (SMulWithZero.toSmulZeroClass.{u1, u3} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (MulZeroClass.toHasZero.{u3} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u3} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toHasZero.{u3} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3))))) (Module.toMulActionWithZero.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3)))) (Algebra.toModule.{u1, u3} R A _inst_1 (CommSemiring.toSemiring.{u3} A _inst_3) _inst_5)))) (SMulWithZero.toSmulZeroClass.{u3, u3} A A (MulZeroClass.toHasZero.{u3} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3))))) (MulZeroClass.toHasZero.{u3} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3))))) (MulZeroClass.toSMulWithZero.{u3} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3)))))) (IsScalarTower.right.{u1, u3} R A _inst_1 (CommSemiring.toSemiring.{u3} A _inst_3) _inst_5)))) (AlgHom.comp.{u1, u3, max u2 u3, u4} R A (MvPolynomial.{u2, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{u3} A _inst_3) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u2} A σ _inst_3)) (CommSemiring.toSemiring.{u4} B _inst_4) _inst_5 (MvPolynomial.algebra.{u1, u3, u2} R A σ _inst_1 _inst_3 _inst_5) _inst_6 g (IsScalarTower.toAlgHom.{u1, u3, max u2 u3} R A (MvPolynomial.{u2, u3} σ A _inst_3) _inst_1 _inst_3 (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u2} A σ _inst_3)) _inst_5 (MvPolynomial.algebra.{u3, u3, u2} A A σ _inst_3 _inst_3 (Algebra.id.{u3} A _inst_3)) (MvPolynomial.algebra.{u1, u3, u2} R A σ _inst_1 _inst_3 _inst_5) (MvPolynomial.isScalarTower.{u1, u3, u3, u2} R A A σ _inst_3 (SMulZeroClass.toHasSmul.{u1, u3} R A (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3))))))) (SMulWithZero.toSmulZeroClass.{u1, u3} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3))))))) (MulActionWithZero.toSMulWithZero.{u1, u3} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3))))))) (Module.toMulActionWithZero.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3)))) (Algebra.toModule.{u1, u3} R A _inst_1 (CommSemiring.toSemiring.{u3} A _inst_3) _inst_5))))) (SMulWithZero.toSmulZeroClass.{u1, u3} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (MulZeroClass.toHasZero.{u3} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u3} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toHasZero.{u3} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3))))) (Module.toMulActionWithZero.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3)))) (Algebra.toModule.{u1, u3} R A _inst_1 (CommSemiring.toSemiring.{u3} A _inst_3) _inst_5)))) (SMulWithZero.toSmulZeroClass.{u3, u3} A A (MulZeroClass.toHasZero.{u3} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3))))) (MulZeroClass.toHasZero.{u3} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3))))) (MulZeroClass.toSMulWithZero.{u3} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3)))))) (IsScalarTower.right.{u1, u3} R A _inst_1 (CommSemiring.toSemiring.{u3} A _inst_3) _inst_5))))) -> (forall (i : σ), Eq.{succ u4} B (coeFn.{max (succ (max u2 u3)) (succ u4), max (succ (max u2 u3)) (succ u4)} (AlgHom.{u1, max u2 u3, u4} R (MvPolynomial.{u2, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u2} A σ _inst_3)) (CommSemiring.toSemiring.{u4} B _inst_4) (MvPolynomial.algebra.{u1, u3, u2} R A σ _inst_1 _inst_3 _inst_5) _inst_6) (fun (_x : AlgHom.{u1, max u2 u3, u4} R (MvPolynomial.{u2, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u2} A σ _inst_3)) (CommSemiring.toSemiring.{u4} B _inst_4) (MvPolynomial.algebra.{u1, u3, u2} R A σ _inst_1 _inst_3 _inst_5) _inst_6) => (MvPolynomial.{u2, u3} σ A _inst_3) -> B) ([anonymous].{u1, max u2 u3, u4} R (MvPolynomial.{u2, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u2} A σ _inst_3)) (CommSemiring.toSemiring.{u4} B _inst_4) (MvPolynomial.algebra.{u1, u3, u2} R A σ _inst_1 _inst_3 _inst_5) _inst_6) f (MvPolynomial.X.{u3, u2} A σ _inst_3 i)) (coeFn.{max (succ (max u2 u3)) (succ u4), max (succ (max u2 u3)) (succ u4)} (AlgHom.{u1, max u2 u3, u4} R (MvPolynomial.{u2, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u2} A σ _inst_3)) (CommSemiring.toSemiring.{u4} B _inst_4) (MvPolynomial.algebra.{u1, u3, u2} R A σ _inst_1 _inst_3 _inst_5) _inst_6) (fun (_x : AlgHom.{u1, max u2 u3, u4} R (MvPolynomial.{u2, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u2} A σ _inst_3)) (CommSemiring.toSemiring.{u4} B _inst_4) (MvPolynomial.algebra.{u1, u3, u2} R A σ _inst_1 _inst_3 _inst_5) _inst_6) => (MvPolynomial.{u2, u3} σ A _inst_3) -> B) ([anonymous].{u1, max u2 u3, u4} R (MvPolynomial.{u2, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u2} A σ _inst_3)) (CommSemiring.toSemiring.{u4} B _inst_4) (MvPolynomial.algebra.{u1, u3, u2} R A σ _inst_1 _inst_3 _inst_5) _inst_6) g (MvPolynomial.X.{u3, u2} A σ _inst_3 i))) -> (Eq.{max (succ (max u2 u3)) (succ u4)} (AlgHom.{u1, max u2 u3, u4} R (MvPolynomial.{u2, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u2} A σ _inst_3)) (CommSemiring.toSemiring.{u4} B _inst_4) (MvPolynomial.algebra.{u1, u3, u2} R A σ _inst_1 _inst_3 _inst_5) _inst_6) f g)
 but is expected to have type
-  forall {R : Type.{u4}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u4} R] {A : Type.{u3}} {B : Type.{u2}} [_inst_3 : CommSemiring.{u3} A] [_inst_4 : CommSemiring.{u2} B] [_inst_5 : Algebra.{u4, u3} R A _inst_1 (CommSemiring.toSemiring.{u3} A _inst_3)] [_inst_6 : Algebra.{u4, u2} R B _inst_1 (CommSemiring.toSemiring.{u2} B _inst_4)] {f : AlgHom.{u4, max u3 u1, u2} R (MvPolynomial.{u1, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) (CommSemiring.toSemiring.{u2} B _inst_4) (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5) _inst_6} {g : AlgHom.{u4, max u3 u1, u2} R (MvPolynomial.{u1, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) (CommSemiring.toSemiring.{u2} B _inst_4) (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5) _inst_6}, (Eq.{max (succ u3) (succ u2)} (AlgHom.{u4, u3, u2} R A B _inst_1 (CommSemiring.toSemiring.{u3} A _inst_3) (CommSemiring.toSemiring.{u2} B _inst_4) _inst_5 _inst_6) (AlgHom.comp.{u4, u3, max u1 u3, u2} R A (MvPolynomial.{u1, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{u3} A _inst_3) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) (CommSemiring.toSemiring.{u2} B _inst_4) _inst_5 (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5) _inst_6 f (IsScalarTower.toAlgHom.{u4, u3, max u3 u1} R A (MvPolynomial.{u1, u3} σ A _inst_3) _inst_1 _inst_3 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) _inst_5 (MvPolynomial.algebra.{u3, u3, u1} A A σ _inst_3 _inst_3 (Algebra.id.{u3} A _inst_3)) (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5) (MvPolynomial.isScalarTower.{u4, u3, u3, u1} R A A σ (MonoidWithZero.toMonoid.{u4} R (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (MonoidWithZero.toMonoid.{u3} A (Semiring.toMonoidWithZero.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3))) _inst_3 (Algebra.toSMul.{u4, u3} R A _inst_1 (CommSemiring.toSemiring.{u3} A _inst_3) _inst_5) (Module.toDistribMulAction.{u4, u3} R A (CommSemiring.toSemiring.{u4} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3)))) (Algebra.toModule.{u4, u3} R A _inst_1 (CommSemiring.toSemiring.{u3} A _inst_3) _inst_5)) (Module.toDistribMulAction.{u3, u3} A A (CommSemiring.toSemiring.{u3} A _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3)))) (Semiring.toModule.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3))) (IsScalarTower.right.{u4, u3} R A _inst_1 (CommSemiring.toSemiring.{u3} A _inst_3) _inst_5)))) (AlgHom.comp.{u4, u3, max u1 u3, u2} R A (MvPolynomial.{u1, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{u3} A _inst_3) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) (CommSemiring.toSemiring.{u2} B _inst_4) _inst_5 (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5) _inst_6 g (IsScalarTower.toAlgHom.{u4, u3, max u3 u1} R A (MvPolynomial.{u1, u3} σ A _inst_3) _inst_1 _inst_3 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) _inst_5 (MvPolynomial.algebra.{u3, u3, u1} A A σ _inst_3 _inst_3 (Algebra.id.{u3} A _inst_3)) (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5) (MvPolynomial.isScalarTower.{u4, u3, u3, u1} R A A σ (MonoidWithZero.toMonoid.{u4} R (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (MonoidWithZero.toMonoid.{u3} A (Semiring.toMonoidWithZero.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3))) _inst_3 (Algebra.toSMul.{u4, u3} R A _inst_1 (CommSemiring.toSemiring.{u3} A _inst_3) _inst_5) (Module.toDistribMulAction.{u4, u3} R A (CommSemiring.toSemiring.{u4} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3)))) (Algebra.toModule.{u4, u3} R A _inst_1 (CommSemiring.toSemiring.{u3} A _inst_3) _inst_5)) (Module.toDistribMulAction.{u3, u3} A A (CommSemiring.toSemiring.{u3} A _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3)))) (Semiring.toModule.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3))) (IsScalarTower.right.{u4, u3} R A _inst_1 (CommSemiring.toSemiring.{u3} A _inst_3) _inst_5))))) -> (forall (i : σ), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u1, u3} σ A _inst_3) => B) (MvPolynomial.X.{u3, u1} A σ _inst_3 i)) (FunLike.coe.{max (max (succ u1) (succ u3)) (succ u2), max (succ u1) (succ u3), succ u2} (AlgHom.{u4, max u3 u1, u2} R (MvPolynomial.{u1, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) (CommSemiring.toSemiring.{u2} B _inst_4) (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5) _inst_6) (MvPolynomial.{u1, u3} σ A _inst_3) (fun (_x : MvPolynomial.{u1, u3} σ A _inst_3) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u1, u3} σ A _inst_3) => B) _x) (SMulHomClass.toFunLike.{max (max u1 u3) u2, u4, max u1 u3, u2} (AlgHom.{u4, max u3 u1, u2} R (MvPolynomial.{u1, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) (CommSemiring.toSemiring.{u2} B _inst_4) (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5) _inst_6) R (MvPolynomial.{u1, u3} σ A _inst_3) B (SMulZeroClass.toSMul.{u4, max u1 u3} R (MvPolynomial.{u1, u3} σ A _inst_3) (AddMonoid.toZero.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (AddCommMonoid.toAddMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3))))))) (DistribSMul.toSMulZeroClass.{u4, max u1 u3} R (MvPolynomial.{u1, u3} σ A _inst_3) (AddMonoid.toAddZeroClass.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (AddCommMonoid.toAddMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3))))))) (DistribMulAction.toDistribSMul.{u4, max u1 u3} R (MvPolynomial.{u1, u3} σ A _inst_3) (MonoidWithZero.toMonoid.{u4} R (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)))))) (Module.toDistribMulAction.{u4, max u1 u3} R (MvPolynomial.{u1, u3} σ A _inst_3) (CommSemiring.toSemiring.{u4} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3))))) (Algebra.toModule.{u4, max u1 u3} R (MvPolynomial.{u1, u3} σ A _inst_3) _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5)))))) (SMulZeroClass.toSMul.{u4, u2} R B (AddMonoid.toZero.{u2} B (AddCommMonoid.toAddMonoid.{u2} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_4)))))) (DistribSMul.toSMulZeroClass.{u4, u2} R B (AddMonoid.toAddZeroClass.{u2} B (AddCommMonoid.toAddMonoid.{u2} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_4)))))) (DistribMulAction.toDistribSMul.{u4, u2} R B (MonoidWithZero.toMonoid.{u4} R (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (AddCommMonoid.toAddMonoid.{u2} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_4))))) (Module.toDistribMulAction.{u4, u2} R B (CommSemiring.toSemiring.{u4} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_4)))) (Algebra.toModule.{u4, u2} R B _inst_1 (CommSemiring.toSemiring.{u2} B _inst_4) _inst_6))))) (DistribMulActionHomClass.toSMulHomClass.{max (max u1 u3) u2, u4, max u1 u3, u2} (AlgHom.{u4, max u3 u1, u2} R (MvPolynomial.{u1, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) (CommSemiring.toSemiring.{u2} B _inst_4) (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5) _inst_6) R (MvPolynomial.{u1, u3} σ A _inst_3) B (MonoidWithZero.toMonoid.{u4} R (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)))))) (AddCommMonoid.toAddMonoid.{u2} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_4))))) (Module.toDistribMulAction.{u4, max u1 u3} R (MvPolynomial.{u1, u3} σ A _inst_3) (CommSemiring.toSemiring.{u4} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3))))) (Algebra.toModule.{u4, max u1 u3} R (MvPolynomial.{u1, u3} σ A _inst_3) _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5))) (Module.toDistribMulAction.{u4, u2} R B (CommSemiring.toSemiring.{u4} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_4)))) (Algebra.toModule.{u4, u2} R B _inst_1 (CommSemiring.toSemiring.{u2} B _inst_4) _inst_6)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max (max u1 u3) u2, u4, max u1 u3, u2} (AlgHom.{u4, max u3 u1, u2} R (MvPolynomial.{u1, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) (CommSemiring.toSemiring.{u2} B _inst_4) (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5) _inst_6) R (MvPolynomial.{u1, u3} σ A _inst_3) B (MonoidWithZero.toMonoid.{u4} R (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_4))) (Module.toDistribMulAction.{u4, max u1 u3} R (MvPolynomial.{u1, u3} σ A _inst_3) (CommSemiring.toSemiring.{u4} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3))))) (Algebra.toModule.{u4, max u1 u3} R (MvPolynomial.{u1, u3} σ A _inst_3) _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5))) (Module.toDistribMulAction.{u4, u2} R B (CommSemiring.toSemiring.{u4} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_4)))) (Algebra.toModule.{u4, u2} R B _inst_1 (CommSemiring.toSemiring.{u2} B _inst_4) _inst_6)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u4, max u1 u3, u2, max (max u1 u3) u2} R (MvPolynomial.{u1, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) (CommSemiring.toSemiring.{u2} B _inst_4) (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5) _inst_6 (AlgHom.{u4, max u3 u1, u2} R (MvPolynomial.{u1, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) (CommSemiring.toSemiring.{u2} B _inst_4) (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5) _inst_6) (AlgHom.algHomClass.{u4, max u1 u3, u2} R (MvPolynomial.{u1, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) (CommSemiring.toSemiring.{u2} B _inst_4) (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5) _inst_6))))) f (MvPolynomial.X.{u3, u1} A σ _inst_3 i)) (FunLike.coe.{max (max (succ u1) (succ u3)) (succ u2), max (succ u1) (succ u3), succ u2} (AlgHom.{u4, max u3 u1, u2} R (MvPolynomial.{u1, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) (CommSemiring.toSemiring.{u2} B _inst_4) (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5) _inst_6) (MvPolynomial.{u1, u3} σ A _inst_3) (fun (_x : MvPolynomial.{u1, u3} σ A _inst_3) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u1, u3} σ A _inst_3) => B) _x) (SMulHomClass.toFunLike.{max (max u1 u3) u2, u4, max u1 u3, u2} (AlgHom.{u4, max u3 u1, u2} R (MvPolynomial.{u1, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) (CommSemiring.toSemiring.{u2} B _inst_4) (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5) _inst_6) R (MvPolynomial.{u1, u3} σ A _inst_3) B (SMulZeroClass.toSMul.{u4, max u1 u3} R (MvPolynomial.{u1, u3} σ A _inst_3) (AddMonoid.toZero.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (AddCommMonoid.toAddMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3))))))) (DistribSMul.toSMulZeroClass.{u4, max u1 u3} R (MvPolynomial.{u1, u3} σ A _inst_3) (AddMonoid.toAddZeroClass.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (AddCommMonoid.toAddMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3))))))) (DistribMulAction.toDistribSMul.{u4, max u1 u3} R (MvPolynomial.{u1, u3} σ A _inst_3) (MonoidWithZero.toMonoid.{u4} R (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)))))) (Module.toDistribMulAction.{u4, max u1 u3} R (MvPolynomial.{u1, u3} σ A _inst_3) (CommSemiring.toSemiring.{u4} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3))))) (Algebra.toModule.{u4, max u1 u3} R (MvPolynomial.{u1, u3} σ A _inst_3) _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5)))))) (SMulZeroClass.toSMul.{u4, u2} R B (AddMonoid.toZero.{u2} B (AddCommMonoid.toAddMonoid.{u2} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_4)))))) (DistribSMul.toSMulZeroClass.{u4, u2} R B (AddMonoid.toAddZeroClass.{u2} B (AddCommMonoid.toAddMonoid.{u2} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_4)))))) (DistribMulAction.toDistribSMul.{u4, u2} R B (MonoidWithZero.toMonoid.{u4} R (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (AddCommMonoid.toAddMonoid.{u2} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_4))))) (Module.toDistribMulAction.{u4, u2} R B (CommSemiring.toSemiring.{u4} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_4)))) (Algebra.toModule.{u4, u2} R B _inst_1 (CommSemiring.toSemiring.{u2} B _inst_4) _inst_6))))) (DistribMulActionHomClass.toSMulHomClass.{max (max u1 u3) u2, u4, max u1 u3, u2} (AlgHom.{u4, max u3 u1, u2} R (MvPolynomial.{u1, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) (CommSemiring.toSemiring.{u2} B _inst_4) (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5) _inst_6) R (MvPolynomial.{u1, u3} σ A _inst_3) B (MonoidWithZero.toMonoid.{u4} R (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)))))) (AddCommMonoid.toAddMonoid.{u2} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_4))))) (Module.toDistribMulAction.{u4, max u1 u3} R (MvPolynomial.{u1, u3} σ A _inst_3) (CommSemiring.toSemiring.{u4} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3))))) (Algebra.toModule.{u4, max u1 u3} R (MvPolynomial.{u1, u3} σ A _inst_3) _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5))) (Module.toDistribMulAction.{u4, u2} R B (CommSemiring.toSemiring.{u4} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_4)))) (Algebra.toModule.{u4, u2} R B _inst_1 (CommSemiring.toSemiring.{u2} B _inst_4) _inst_6)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max (max u1 u3) u2, u4, max u1 u3, u2} (AlgHom.{u4, max u3 u1, u2} R (MvPolynomial.{u1, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) (CommSemiring.toSemiring.{u2} B _inst_4) (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5) _inst_6) R (MvPolynomial.{u1, u3} σ A _inst_3) B (MonoidWithZero.toMonoid.{u4} R (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_4))) (Module.toDistribMulAction.{u4, max u1 u3} R (MvPolynomial.{u1, u3} σ A _inst_3) (CommSemiring.toSemiring.{u4} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3))))) (Algebra.toModule.{u4, max u1 u3} R (MvPolynomial.{u1, u3} σ A _inst_3) _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5))) (Module.toDistribMulAction.{u4, u2} R B (CommSemiring.toSemiring.{u4} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_4)))) (Algebra.toModule.{u4, u2} R B _inst_1 (CommSemiring.toSemiring.{u2} B _inst_4) _inst_6)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u4, max u1 u3, u2, max (max u1 u3) u2} R (MvPolynomial.{u1, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) (CommSemiring.toSemiring.{u2} B _inst_4) (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5) _inst_6 (AlgHom.{u4, max u3 u1, u2} R (MvPolynomial.{u1, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) (CommSemiring.toSemiring.{u2} B _inst_4) (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5) _inst_6) (AlgHom.algHomClass.{u4, max u1 u3, u2} R (MvPolynomial.{u1, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) (CommSemiring.toSemiring.{u2} B _inst_4) (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5) _inst_6))))) g (MvPolynomial.X.{u3, u1} A σ _inst_3 i))) -> (Eq.{max (max (succ u1) (succ u3)) (succ u2)} (AlgHom.{u4, max u3 u1, u2} R (MvPolynomial.{u1, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) (CommSemiring.toSemiring.{u2} B _inst_4) (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5) _inst_6) f g)
+  forall {R : Type.{u4}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u4} R] {A : Type.{u3}} {B : Type.{u2}} [_inst_3 : CommSemiring.{u3} A] [_inst_4 : CommSemiring.{u2} B] [_inst_5 : Algebra.{u4, u3} R A _inst_1 (CommSemiring.toSemiring.{u3} A _inst_3)] [_inst_6 : Algebra.{u4, u2} R B _inst_1 (CommSemiring.toSemiring.{u2} B _inst_4)] {f : AlgHom.{u4, max u3 u1, u2} R (MvPolynomial.{u1, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) (CommSemiring.toSemiring.{u2} B _inst_4) (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5) _inst_6} {g : AlgHom.{u4, max u3 u1, u2} R (MvPolynomial.{u1, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) (CommSemiring.toSemiring.{u2} B _inst_4) (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5) _inst_6}, (Eq.{max (succ u3) (succ u2)} (AlgHom.{u4, u3, u2} R A B _inst_1 (CommSemiring.toSemiring.{u3} A _inst_3) (CommSemiring.toSemiring.{u2} B _inst_4) _inst_5 _inst_6) (AlgHom.comp.{u4, u3, max u1 u3, u2} R A (MvPolynomial.{u1, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{u3} A _inst_3) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) (CommSemiring.toSemiring.{u2} B _inst_4) _inst_5 (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5) _inst_6 f (IsScalarTower.toAlgHom.{u4, u3, max u3 u1} R A (MvPolynomial.{u1, u3} σ A _inst_3) _inst_1 _inst_3 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) _inst_5 (MvPolynomial.algebra.{u3, u3, u1} A A σ _inst_3 _inst_3 (Algebra.id.{u3} A _inst_3)) (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5) (MvPolynomial.isScalarTower.{u4, u3, u3, u1} R A A σ _inst_3 (Algebra.toSMul.{u4, u3} R A _inst_1 (CommSemiring.toSemiring.{u3} A _inst_3) _inst_5) (SMulWithZero.toSMulZeroClass.{u4, u3} R A (CommMonoidWithZero.toZero.{u4} R (CommSemiring.toCommMonoidWithZero.{u4} R _inst_1)) (MonoidWithZero.toZero.{u3} A (Semiring.toMonoidWithZero.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3))) (MulActionWithZero.toSMulWithZero.{u4, u3} R A (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (MonoidWithZero.toZero.{u3} A (Semiring.toMonoidWithZero.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3))) (Module.toMulActionWithZero.{u4, u3} R A (CommSemiring.toSemiring.{u4} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3)))) (Algebra.toModule.{u4, u3} R A _inst_1 (CommSemiring.toSemiring.{u3} A _inst_3) _inst_5)))) (SMulWithZero.toSMulZeroClass.{u3, u3} A A (CommMonoidWithZero.toZero.{u3} A (CommSemiring.toCommMonoidWithZero.{u3} A _inst_3)) (MonoidWithZero.toZero.{u3} A (Semiring.toMonoidWithZero.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3))) (MulActionWithZero.toSMulWithZero.{u3, u3} A A (Semiring.toMonoidWithZero.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3)) (MonoidWithZero.toZero.{u3} A (Semiring.toMonoidWithZero.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3))) (Module.toMulActionWithZero.{u3, u3} A A (CommSemiring.toSemiring.{u3} A _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3)))) (Algebra.toModule.{u3, u3} A A _inst_3 (CommSemiring.toSemiring.{u3} A _inst_3) (Algebra.id.{u3} A _inst_3))))) (IsScalarTower.right.{u4, u3} R A _inst_1 (CommSemiring.toSemiring.{u3} A _inst_3) _inst_5)))) (AlgHom.comp.{u4, u3, max u1 u3, u2} R A (MvPolynomial.{u1, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{u3} A _inst_3) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) (CommSemiring.toSemiring.{u2} B _inst_4) _inst_5 (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5) _inst_6 g (IsScalarTower.toAlgHom.{u4, u3, max u3 u1} R A (MvPolynomial.{u1, u3} σ A _inst_3) _inst_1 _inst_3 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) _inst_5 (MvPolynomial.algebra.{u3, u3, u1} A A σ _inst_3 _inst_3 (Algebra.id.{u3} A _inst_3)) (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5) (MvPolynomial.isScalarTower.{u4, u3, u3, u1} R A A σ _inst_3 (Algebra.toSMul.{u4, u3} R A _inst_1 (CommSemiring.toSemiring.{u3} A _inst_3) _inst_5) (SMulWithZero.toSMulZeroClass.{u4, u3} R A (CommMonoidWithZero.toZero.{u4} R (CommSemiring.toCommMonoidWithZero.{u4} R _inst_1)) (MonoidWithZero.toZero.{u3} A (Semiring.toMonoidWithZero.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3))) (MulActionWithZero.toSMulWithZero.{u4, u3} R A (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (MonoidWithZero.toZero.{u3} A (Semiring.toMonoidWithZero.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3))) (Module.toMulActionWithZero.{u4, u3} R A (CommSemiring.toSemiring.{u4} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3)))) (Algebra.toModule.{u4, u3} R A _inst_1 (CommSemiring.toSemiring.{u3} A _inst_3) _inst_5)))) (SMulWithZero.toSMulZeroClass.{u3, u3} A A (CommMonoidWithZero.toZero.{u3} A (CommSemiring.toCommMonoidWithZero.{u3} A _inst_3)) (MonoidWithZero.toZero.{u3} A (Semiring.toMonoidWithZero.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3))) (MulActionWithZero.toSMulWithZero.{u3, u3} A A (Semiring.toMonoidWithZero.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3)) (MonoidWithZero.toZero.{u3} A (Semiring.toMonoidWithZero.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3))) (Module.toMulActionWithZero.{u3, u3} A A (CommSemiring.toSemiring.{u3} A _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3)))) (Algebra.toModule.{u3, u3} A A _inst_3 (CommSemiring.toSemiring.{u3} A _inst_3) (Algebra.id.{u3} A _inst_3))))) (IsScalarTower.right.{u4, u3} R A _inst_1 (CommSemiring.toSemiring.{u3} A _inst_3) _inst_5))))) -> (forall (i : σ), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u1, u3} σ A _inst_3) => B) (MvPolynomial.X.{u3, u1} A σ _inst_3 i)) (FunLike.coe.{max (max (succ u1) (succ u3)) (succ u2), max (succ u1) (succ u3), succ u2} (AlgHom.{u4, max u3 u1, u2} R (MvPolynomial.{u1, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) (CommSemiring.toSemiring.{u2} B _inst_4) (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5) _inst_6) (MvPolynomial.{u1, u3} σ A _inst_3) (fun (_x : MvPolynomial.{u1, u3} σ A _inst_3) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u1, u3} σ A _inst_3) => B) _x) (SMulHomClass.toFunLike.{max (max u1 u3) u2, u4, max u1 u3, u2} (AlgHom.{u4, max u3 u1, u2} R (MvPolynomial.{u1, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) (CommSemiring.toSemiring.{u2} B _inst_4) (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5) _inst_6) R (MvPolynomial.{u1, u3} σ A _inst_3) B (SMulZeroClass.toSMul.{u4, max u1 u3} R (MvPolynomial.{u1, u3} σ A _inst_3) (AddMonoid.toZero.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (AddCommMonoid.toAddMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3))))))) (DistribSMul.toSMulZeroClass.{u4, max u1 u3} R (MvPolynomial.{u1, u3} σ A _inst_3) (AddMonoid.toAddZeroClass.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (AddCommMonoid.toAddMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3))))))) (DistribMulAction.toDistribSMul.{u4, max u1 u3} R (MvPolynomial.{u1, u3} σ A _inst_3) (MonoidWithZero.toMonoid.{u4} R (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)))))) (Module.toDistribMulAction.{u4, max u1 u3} R (MvPolynomial.{u1, u3} σ A _inst_3) (CommSemiring.toSemiring.{u4} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3))))) (Algebra.toModule.{u4, max u1 u3} R (MvPolynomial.{u1, u3} σ A _inst_3) _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5)))))) (SMulZeroClass.toSMul.{u4, u2} R B (AddMonoid.toZero.{u2} B (AddCommMonoid.toAddMonoid.{u2} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_4)))))) (DistribSMul.toSMulZeroClass.{u4, u2} R B (AddMonoid.toAddZeroClass.{u2} B (AddCommMonoid.toAddMonoid.{u2} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_4)))))) (DistribMulAction.toDistribSMul.{u4, u2} R B (MonoidWithZero.toMonoid.{u4} R (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (AddCommMonoid.toAddMonoid.{u2} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_4))))) (Module.toDistribMulAction.{u4, u2} R B (CommSemiring.toSemiring.{u4} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_4)))) (Algebra.toModule.{u4, u2} R B _inst_1 (CommSemiring.toSemiring.{u2} B _inst_4) _inst_6))))) (DistribMulActionHomClass.toSMulHomClass.{max (max u1 u3) u2, u4, max u1 u3, u2} (AlgHom.{u4, max u3 u1, u2} R (MvPolynomial.{u1, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) (CommSemiring.toSemiring.{u2} B _inst_4) (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5) _inst_6) R (MvPolynomial.{u1, u3} σ A _inst_3) B (MonoidWithZero.toMonoid.{u4} R (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)))))) (AddCommMonoid.toAddMonoid.{u2} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_4))))) (Module.toDistribMulAction.{u4, max u1 u3} R (MvPolynomial.{u1, u3} σ A _inst_3) (CommSemiring.toSemiring.{u4} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3))))) (Algebra.toModule.{u4, max u1 u3} R (MvPolynomial.{u1, u3} σ A _inst_3) _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5))) (Module.toDistribMulAction.{u4, u2} R B (CommSemiring.toSemiring.{u4} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_4)))) (Algebra.toModule.{u4, u2} R B _inst_1 (CommSemiring.toSemiring.{u2} B _inst_4) _inst_6)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max (max u1 u3) u2, u4, max u1 u3, u2} (AlgHom.{u4, max u3 u1, u2} R (MvPolynomial.{u1, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) (CommSemiring.toSemiring.{u2} B _inst_4) (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5) _inst_6) R (MvPolynomial.{u1, u3} σ A _inst_3) B (MonoidWithZero.toMonoid.{u4} R (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_4))) (Module.toDistribMulAction.{u4, max u1 u3} R (MvPolynomial.{u1, u3} σ A _inst_3) (CommSemiring.toSemiring.{u4} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3))))) (Algebra.toModule.{u4, max u1 u3} R (MvPolynomial.{u1, u3} σ A _inst_3) _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5))) (Module.toDistribMulAction.{u4, u2} R B (CommSemiring.toSemiring.{u4} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_4)))) (Algebra.toModule.{u4, u2} R B _inst_1 (CommSemiring.toSemiring.{u2} B _inst_4) _inst_6)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u4, max u1 u3, u2, max (max u1 u3) u2} R (MvPolynomial.{u1, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) (CommSemiring.toSemiring.{u2} B _inst_4) (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5) _inst_6 (AlgHom.{u4, max u3 u1, u2} R (MvPolynomial.{u1, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) (CommSemiring.toSemiring.{u2} B _inst_4) (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5) _inst_6) (AlgHom.algHomClass.{u4, max u1 u3, u2} R (MvPolynomial.{u1, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) (CommSemiring.toSemiring.{u2} B _inst_4) (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5) _inst_6))))) f (MvPolynomial.X.{u3, u1} A σ _inst_3 i)) (FunLike.coe.{max (max (succ u1) (succ u3)) (succ u2), max (succ u1) (succ u3), succ u2} (AlgHom.{u4, max u3 u1, u2} R (MvPolynomial.{u1, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) (CommSemiring.toSemiring.{u2} B _inst_4) (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5) _inst_6) (MvPolynomial.{u1, u3} σ A _inst_3) (fun (_x : MvPolynomial.{u1, u3} σ A _inst_3) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u1, u3} σ A _inst_3) => B) _x) (SMulHomClass.toFunLike.{max (max u1 u3) u2, u4, max u1 u3, u2} (AlgHom.{u4, max u3 u1, u2} R (MvPolynomial.{u1, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) (CommSemiring.toSemiring.{u2} B _inst_4) (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5) _inst_6) R (MvPolynomial.{u1, u3} σ A _inst_3) B (SMulZeroClass.toSMul.{u4, max u1 u3} R (MvPolynomial.{u1, u3} σ A _inst_3) (AddMonoid.toZero.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (AddCommMonoid.toAddMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3))))))) (DistribSMul.toSMulZeroClass.{u4, max u1 u3} R (MvPolynomial.{u1, u3} σ A _inst_3) (AddMonoid.toAddZeroClass.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (AddCommMonoid.toAddMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3))))))) (DistribMulAction.toDistribSMul.{u4, max u1 u3} R (MvPolynomial.{u1, u3} σ A _inst_3) (MonoidWithZero.toMonoid.{u4} R (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)))))) (Module.toDistribMulAction.{u4, max u1 u3} R (MvPolynomial.{u1, u3} σ A _inst_3) (CommSemiring.toSemiring.{u4} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3))))) (Algebra.toModule.{u4, max u1 u3} R (MvPolynomial.{u1, u3} σ A _inst_3) _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5)))))) (SMulZeroClass.toSMul.{u4, u2} R B (AddMonoid.toZero.{u2} B (AddCommMonoid.toAddMonoid.{u2} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_4)))))) (DistribSMul.toSMulZeroClass.{u4, u2} R B (AddMonoid.toAddZeroClass.{u2} B (AddCommMonoid.toAddMonoid.{u2} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_4)))))) (DistribMulAction.toDistribSMul.{u4, u2} R B (MonoidWithZero.toMonoid.{u4} R (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (AddCommMonoid.toAddMonoid.{u2} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_4))))) (Module.toDistribMulAction.{u4, u2} R B (CommSemiring.toSemiring.{u4} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_4)))) (Algebra.toModule.{u4, u2} R B _inst_1 (CommSemiring.toSemiring.{u2} B _inst_4) _inst_6))))) (DistribMulActionHomClass.toSMulHomClass.{max (max u1 u3) u2, u4, max u1 u3, u2} (AlgHom.{u4, max u3 u1, u2} R (MvPolynomial.{u1, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) (CommSemiring.toSemiring.{u2} B _inst_4) (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5) _inst_6) R (MvPolynomial.{u1, u3} σ A _inst_3) B (MonoidWithZero.toMonoid.{u4} R (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)))))) (AddCommMonoid.toAddMonoid.{u2} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_4))))) (Module.toDistribMulAction.{u4, max u1 u3} R (MvPolynomial.{u1, u3} σ A _inst_3) (CommSemiring.toSemiring.{u4} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3))))) (Algebra.toModule.{u4, max u1 u3} R (MvPolynomial.{u1, u3} σ A _inst_3) _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5))) (Module.toDistribMulAction.{u4, u2} R B (CommSemiring.toSemiring.{u4} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_4)))) (Algebra.toModule.{u4, u2} R B _inst_1 (CommSemiring.toSemiring.{u2} B _inst_4) _inst_6)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max (max u1 u3) u2, u4, max u1 u3, u2} (AlgHom.{u4, max u3 u1, u2} R (MvPolynomial.{u1, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) (CommSemiring.toSemiring.{u2} B _inst_4) (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5) _inst_6) R (MvPolynomial.{u1, u3} σ A _inst_3) B (MonoidWithZero.toMonoid.{u4} R (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_4))) (Module.toDistribMulAction.{u4, max u1 u3} R (MvPolynomial.{u1, u3} σ A _inst_3) (CommSemiring.toSemiring.{u4} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3))))) (Algebra.toModule.{u4, max u1 u3} R (MvPolynomial.{u1, u3} σ A _inst_3) _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5))) (Module.toDistribMulAction.{u4, u2} R B (CommSemiring.toSemiring.{u4} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_4)))) (Algebra.toModule.{u4, u2} R B _inst_1 (CommSemiring.toSemiring.{u2} B _inst_4) _inst_6)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u4, max u1 u3, u2, max (max u1 u3) u2} R (MvPolynomial.{u1, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) (CommSemiring.toSemiring.{u2} B _inst_4) (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5) _inst_6 (AlgHom.{u4, max u3 u1, u2} R (MvPolynomial.{u1, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) (CommSemiring.toSemiring.{u2} B _inst_4) (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5) _inst_6) (AlgHom.algHomClass.{u4, max u1 u3, u2} R (MvPolynomial.{u1, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) (CommSemiring.toSemiring.{u2} B _inst_4) (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5) _inst_6))))) g (MvPolynomial.X.{u3, u1} A σ _inst_3 i))) -> (Eq.{max (max (succ u1) (succ u3)) (succ u2)} (AlgHom.{u4, max u3 u1, u2} R (MvPolynomial.{u1, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) (CommSemiring.toSemiring.{u2} B _inst_4) (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5) _inst_6) f g)
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.alg_hom_ext' MvPolynomial.algHom_ext'ₓ'. -/
 @[ext]
 theorem algHom_ext' {A B : Type _} [CommSemiring A] [CommSemiring B] [Algebra R A] [Algebra R B]
@@ -929,7 +935,7 @@ theorem support_zero : (0 : MvPolynomial σ R).support = ∅ :=
 lean 3 declaration is
   forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {S₁ : Type.{u3}} [_inst_3 : SMulZeroClass.{u3, u1} S₁ R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))] {a : S₁} {f : MvPolynomial.{u2, u1} σ R _inst_1}, HasSubset.Subset.{u2} (Finset.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (Finset.hasSubset.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (MvPolynomial.support.{u1, u2} R σ _inst_1 (SMul.smul.{u3, max u2 u1} S₁ (MvPolynomial.{u2, u1} σ R _inst_1) (SMulZeroClass.toHasSmul.{u3, max u2 u1} S₁ (MvPolynomial.{u2, u1} σ R _inst_1) (MulZeroClass.toHasZero.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toMulZeroClass.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))))) (MvPolynomial.smulZeroClass.{u3, u1, u2} S₁ R σ _inst_1 _inst_3)) a f)) (MvPolynomial.support.{u1, u2} R σ _inst_1 f)
 but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u3}} {_inst_1 : Type.{u1}} [S₁ : CommSemiring.{u2} R] [_inst_3 : CommSemiring.{u3} σ] [a : DistribMulAction.{u2, u3} R σ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R S₁))) (AddMonoidWithOne.toAddMonoid.{u3} σ (AddCommMonoidWithOne.toAddMonoidWithOne.{u3} σ (NonAssocSemiring.toAddCommMonoidWithOne.{u3} σ (Semiring.toNonAssocSemiring.{u3} σ (CommSemiring.toSemiring.{u3} σ _inst_3)))))] {f : R} {f_1 : MvPolynomial.{u1, u3} _inst_1 σ _inst_3}, HasSubset.Subset.{u1} (Finset.{u1} (Finsupp.{u1, 0} _inst_1 Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (Finset.instHasSubsetFinset.{u1} (Finsupp.{u1, 0} _inst_1 Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (MvPolynomial.support.{u3, u1} σ _inst_1 _inst_3 (HSMul.hSMul.{u2, max u3 u1, max u3 u1} R (MvPolynomial.{u1, u3} _inst_1 σ _inst_3) (MvPolynomial.{u1, u3} _inst_1 σ _inst_3) (instHSMul.{u2, max u3 u1} R (MvPolynomial.{u1, u3} _inst_1 σ _inst_3) (SMulZeroClass.toSMul.{u2, max u3 u1} R (MvPolynomial.{u1, u3} _inst_1 σ _inst_3) (CommMonoidWithZero.toZero.{max u3 u1} (MvPolynomial.{u1, u3} _inst_1 σ _inst_3) (CommSemiring.toCommMonoidWithZero.{max u3 u1} (MvPolynomial.{u1, u3} _inst_1 σ _inst_3) (MvPolynomial.commSemiring.{u3, u1} σ _inst_1 _inst_3))) (DistribSMul.toSMulZeroClass.{u2, max u3 u1} R (MvPolynomial.{u1, u3} _inst_1 σ _inst_3) (AddMonoid.toAddZeroClass.{max u3 u1} (MvPolynomial.{u1, u3} _inst_1 σ _inst_3) (AddMonoidWithOne.toAddMonoid.{max u3 u1} (MvPolynomial.{u1, u3} _inst_1 σ _inst_3) (AddCommMonoidWithOne.toAddMonoidWithOne.{max u3 u1} (MvPolynomial.{u1, u3} _inst_1 σ _inst_3) (NonAssocSemiring.toAddCommMonoidWithOne.{max u3 u1} (MvPolynomial.{u1, u3} _inst_1 σ _inst_3) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} _inst_1 σ _inst_3) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} _inst_1 σ _inst_3) (MvPolynomial.commSemiring.{u3, u1} σ _inst_1 _inst_3))))))) (DistribMulAction.toDistribSMul.{u2, max u3 u1} R (MvPolynomial.{u1, u3} _inst_1 σ _inst_3) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R S₁))) (AddMonoidWithOne.toAddMonoid.{max u3 u1} (MvPolynomial.{u1, u3} _inst_1 σ _inst_3) (AddCommMonoidWithOne.toAddMonoidWithOne.{max u3 u1} (MvPolynomial.{u1, u3} _inst_1 σ _inst_3) (NonAssocSemiring.toAddCommMonoidWithOne.{max u3 u1} (MvPolynomial.{u1, u3} _inst_1 σ _inst_3) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} _inst_1 σ _inst_3) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} _inst_1 σ _inst_3) (MvPolynomial.commSemiring.{u3, u1} σ _inst_1 _inst_3)))))) (MvPolynomial.distribuMulAction.{u2, u3, u1} R σ _inst_1 (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R S₁))) _inst_3 a))))) f f_1)) (MvPolynomial.support.{u3, u1} σ _inst_1 _inst_3 f_1)
+  forall {R : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u3} R] {S₁ : Type.{u2}} [_inst_3 : SMulZeroClass.{u2, u3} S₁ R (CommMonoidWithZero.toZero.{u3} R (CommSemiring.toCommMonoidWithZero.{u3} R _inst_1))] {a : S₁} {f : MvPolynomial.{u1, u3} σ R _inst_1}, HasSubset.Subset.{u1} (Finset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (Finset.instHasSubsetFinset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (MvPolynomial.support.{u3, u1} R σ _inst_1 (HSMul.hSMul.{u2, max u3 u1, max u3 u1} S₁ (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.{u1, u3} σ R _inst_1) (instHSMul.{u2, max u3 u1} S₁ (MvPolynomial.{u1, u3} σ R _inst_1) (SMulZeroClass.toSMul.{u2, max u3 u1} S₁ (MvPolynomial.{u1, u3} σ R _inst_1) (CommMonoidWithZero.toZero.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toCommMonoidWithZero.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (MvPolynomial.smulZeroClass.{u2, u3, u1} S₁ R σ _inst_1 _inst_3))) a f)) (MvPolynomial.support.{u3, u1} R σ _inst_1 f)
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.support_smul MvPolynomial.support_smulₓ'. -/
 theorem support_smul {S₁ : Type _} [SMulZeroClass S₁ R] {a : S₁} {f : MvPolynomial σ R} :
     (a • f).support ⊆ f.support :=
@@ -1036,7 +1042,7 @@ theorem coeff_add (m : σ →₀ ℕ) (p q : MvPolynomial σ R) : coeff m (p + q
 lean 3 declaration is
   forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {S₁ : Type.{u3}} [_inst_3 : SMulZeroClass.{u3, u1} S₁ R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))] (m : Finsupp.{u2, 0} σ Nat Nat.hasZero) (c : S₁) (p : MvPolynomial.{u2, u1} σ R _inst_1), Eq.{succ u1} R (MvPolynomial.coeff.{u1, u2} R σ _inst_1 m (SMul.smul.{u3, max u2 u1} S₁ (MvPolynomial.{u2, u1} σ R _inst_1) (SMulZeroClass.toHasSmul.{u3, max u2 u1} S₁ (MvPolynomial.{u2, u1} σ R _inst_1) (MulZeroClass.toHasZero.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toMulZeroClass.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))))) (MvPolynomial.smulZeroClass.{u3, u1, u2} S₁ R σ _inst_1 _inst_3)) c p)) (SMul.smul.{u3, u1} S₁ R (SMulZeroClass.toHasSmul.{u3, u1} S₁ R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) _inst_3) c (MvPolynomial.coeff.{u1, u2} R σ _inst_1 m p))
 but is expected to have type
-  forall {R : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u3} R] {S₁ : Type.{u2}} [_inst_3 : Monoid.{u2} S₁] [m : DistribMulAction.{u2, u3} S₁ R _inst_3 (AddMonoidWithOne.toAddMonoid.{u3} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u3} R (NonAssocSemiring.toAddCommMonoidWithOne.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))))] (c : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (p : S₁) (p_1 : MvPolynomial.{u1, u3} σ R _inst_1), Eq.{succ u3} R (MvPolynomial.coeff.{u3, u1} R σ _inst_1 c (HSMul.hSMul.{u2, max u3 u1, max u3 u1} S₁ (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.{u1, u3} σ R _inst_1) (instHSMul.{u2, max u3 u1} S₁ (MvPolynomial.{u1, u3} σ R _inst_1) (SMulZeroClass.toSMul.{u2, max u3 u1} S₁ (MvPolynomial.{u1, u3} σ R _inst_1) (CommMonoidWithZero.toZero.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toCommMonoidWithZero.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (DistribSMul.toSMulZeroClass.{u2, max u3 u1} S₁ (MvPolynomial.{u1, u3} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (AddMonoidWithOne.toAddMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (AddCommMonoidWithOne.toAddMonoidWithOne.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toAddCommMonoidWithOne.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))))) (DistribMulAction.toDistribSMul.{u2, max u3 u1} S₁ (MvPolynomial.{u1, u3} σ R _inst_1) _inst_3 (AddMonoidWithOne.toAddMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (AddCommMonoidWithOne.toAddMonoidWithOne.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toAddCommMonoidWithOne.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))))) (MvPolynomial.distribuMulAction.{u2, u3, u1} S₁ R σ _inst_3 _inst_1 m))))) p p_1)) (HSMul.hSMul.{u2, u3, u3} S₁ R R (instHSMul.{u2, u3} S₁ R (SMulZeroClass.toSMul.{u2, u3} S₁ R (CommMonoidWithZero.toZero.{u3} R (CommSemiring.toCommMonoidWithZero.{u3} R _inst_1)) (DistribSMul.toSMulZeroClass.{u2, u3} S₁ R (AddMonoid.toAddZeroClass.{u3} R (AddMonoidWithOne.toAddMonoid.{u3} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u3} R (NonAssocSemiring.toAddCommMonoidWithOne.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))))) (DistribMulAction.toDistribSMul.{u2, u3} S₁ R _inst_3 (AddMonoidWithOne.toAddMonoid.{u3} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u3} R (NonAssocSemiring.toAddCommMonoidWithOne.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))))) m)))) p (MvPolynomial.coeff.{u3, u1} R σ _inst_1 c p_1))
+  forall {R : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u3} R] {S₁ : Type.{u2}} [_inst_3 : SMulZeroClass.{u2, u3} S₁ R (CommMonoidWithZero.toZero.{u3} R (CommSemiring.toCommMonoidWithZero.{u3} R _inst_1))] (m : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (c : S₁) (p : MvPolynomial.{u1, u3} σ R _inst_1), Eq.{succ u3} R (MvPolynomial.coeff.{u3, u1} R σ _inst_1 m (HSMul.hSMul.{u2, max u3 u1, max u3 u1} S₁ (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.{u1, u3} σ R _inst_1) (instHSMul.{u2, max u3 u1} S₁ (MvPolynomial.{u1, u3} σ R _inst_1) (SMulZeroClass.toSMul.{u2, max u3 u1} S₁ (MvPolynomial.{u1, u3} σ R _inst_1) (CommMonoidWithZero.toZero.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toCommMonoidWithZero.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (MvPolynomial.smulZeroClass.{u2, u3, u1} S₁ R σ _inst_1 _inst_3))) c p)) (HSMul.hSMul.{u2, u3, u3} S₁ R R (instHSMul.{u2, u3} S₁ R (SMulZeroClass.toSMul.{u2, u3} S₁ R (CommMonoidWithZero.toZero.{u3} R (CommSemiring.toCommMonoidWithZero.{u3} R _inst_1)) _inst_3)) c (MvPolynomial.coeff.{u3, u1} R σ _inst_1 m p))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.coeff_smul MvPolynomial.coeff_smulₓ'. -/
 @[simp]
 theorem coeff_smul {S₁ : Type _} [SMulZeroClass S₁ R] (m : σ →₀ ℕ) (c : S₁) (p : MvPolynomial σ R) :
@@ -1288,6 +1294,12 @@ theorem support_X_mul (s : σ) (p : MvPolynomial σ R) :
   AddMonoidAlgebra.support_single_mul p _ (by simp) _
 #align mv_polynomial.support_X_mul MvPolynomial.support_X_mul
 
+/- warning: mv_polynomial.support_smul_eq -> MvPolynomial.support_smul_eq is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {S₁ : Type.{u3}} [_inst_3 : Semiring.{u3} S₁] [_inst_4 : Module.{u3, u1} S₁ R _inst_3 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))] [_inst_5 : NoZeroSMulDivisors.{u3, u1} S₁ R (MulZeroClass.toHasZero.{u3} S₁ (NonUnitalNonAssocSemiring.toMulZeroClass.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ _inst_3)))) (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (SMulZeroClass.toHasSmul.{u3, u1} S₁ R (AddZeroClass.toHasZero.{u1} R (AddMonoid.toAddZeroClass.{u1} R (AddCommMonoid.toAddMonoid.{u1} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))))) (SMulWithZero.toSmulZeroClass.{u3, u1} S₁ R (MulZeroClass.toHasZero.{u3} S₁ (MulZeroOneClass.toMulZeroClass.{u3} S₁ (MonoidWithZero.toMulZeroOneClass.{u3} S₁ (Semiring.toMonoidWithZero.{u3} S₁ _inst_3)))) (AddZeroClass.toHasZero.{u1} R (AddMonoid.toAddZeroClass.{u1} R (AddCommMonoid.toAddMonoid.{u1} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))))) (MulActionWithZero.toSMulWithZero.{u3, u1} S₁ R (Semiring.toMonoidWithZero.{u3} S₁ _inst_3) (AddZeroClass.toHasZero.{u1} R (AddMonoid.toAddZeroClass.{u1} R (AddCommMonoid.toAddMonoid.{u1} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))))) (Module.toMulActionWithZero.{u3, u1} S₁ R _inst_3 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) _inst_4))))] {a : S₁}, (Ne.{succ u3} S₁ a (OfNat.ofNat.{u3} S₁ 0 (OfNat.mk.{u3} S₁ 0 (Zero.zero.{u3} S₁ (MulZeroClass.toHasZero.{u3} S₁ (NonUnitalNonAssocSemiring.toMulZeroClass.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ _inst_3)))))))) -> (forall (p : MvPolynomial.{u2, u1} σ R _inst_1), Eq.{succ u2} (Finset.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (MvPolynomial.support.{u1, u2} R σ _inst_1 (SMul.smul.{u3, max u2 u1} S₁ (MvPolynomial.{u2, u1} σ R _inst_1) (SMulZeroClass.toHasSmul.{u3, max u2 u1} S₁ (MvPolynomial.{u2, u1} σ R _inst_1) (MulZeroClass.toHasZero.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toMulZeroClass.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))))) (MvPolynomial.smulZeroClass.{u3, u1, u2} S₁ R σ _inst_1 (SMulWithZero.toSmulZeroClass.{u3, u1} S₁ R (MulZeroClass.toHasZero.{u3} S₁ (MulZeroOneClass.toMulZeroClass.{u3} S₁ (MonoidWithZero.toMulZeroOneClass.{u3} S₁ (Semiring.toMonoidWithZero.{u3} S₁ _inst_3)))) (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (MulActionWithZero.toSMulWithZero.{u3, u1} S₁ R (Semiring.toMonoidWithZero.{u3} S₁ _inst_3) (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (Module.toMulActionWithZero.{u3, u1} S₁ R _inst_3 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) _inst_4))))) a p)) (MvPolynomial.support.{u1, u2} R σ _inst_1 p))
+but is expected to have type
+  forall {R : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u3} R] {S₁ : Type.{u2}} [_inst_3 : Semiring.{u2} S₁] [_inst_4 : Module.{u2, u3} S₁ R _inst_3 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))))] [_inst_5 : NoZeroSMulDivisors.{u2, u3} S₁ R (MonoidWithZero.toZero.{u2} S₁ (Semiring.toMonoidWithZero.{u2} S₁ _inst_3)) (CommMonoidWithZero.toZero.{u3} R (CommSemiring.toCommMonoidWithZero.{u3} R _inst_1)) (SMulZeroClass.toSMul.{u2, u3} S₁ R (CommMonoidWithZero.toZero.{u3} R (CommSemiring.toCommMonoidWithZero.{u3} R _inst_1)) (SMulWithZero.toSMulZeroClass.{u2, u3} S₁ R (MonoidWithZero.toZero.{u2} S₁ (Semiring.toMonoidWithZero.{u2} S₁ _inst_3)) (CommMonoidWithZero.toZero.{u3} R (CommSemiring.toCommMonoidWithZero.{u3} R _inst_1)) (MulActionWithZero.toSMulWithZero.{u2, u3} S₁ R (Semiring.toMonoidWithZero.{u2} S₁ _inst_3) (CommMonoidWithZero.toZero.{u3} R (CommSemiring.toCommMonoidWithZero.{u3} R _inst_1)) (Module.toMulActionWithZero.{u2, u3} S₁ R _inst_3 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) _inst_4))))] {a : S₁}, (Ne.{succ u2} S₁ a (OfNat.ofNat.{u2} S₁ 0 (Zero.toOfNat0.{u2} S₁ (MonoidWithZero.toZero.{u2} S₁ (Semiring.toMonoidWithZero.{u2} S₁ _inst_3))))) -> (forall (p : MvPolynomial.{u1, u3} σ R _inst_1), Eq.{succ u1} (Finset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (MvPolynomial.support.{u3, u1} R σ _inst_1 (HSMul.hSMul.{u2, max u3 u1, max u3 u1} S₁ (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.{u1, u3} σ R _inst_1) (instHSMul.{u2, max u3 u1} S₁ (MvPolynomial.{u1, u3} σ R _inst_1) (SMulZeroClass.toSMul.{u2, max u3 u1} S₁ (MvPolynomial.{u1, u3} σ R _inst_1) (CommMonoidWithZero.toZero.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toCommMonoidWithZero.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (MvPolynomial.smulZeroClass.{u2, u3, u1} S₁ R σ _inst_1 (SMulWithZero.toSMulZeroClass.{u2, u3} S₁ R (MonoidWithZero.toZero.{u2} S₁ (Semiring.toMonoidWithZero.{u2} S₁ _inst_3)) (CommMonoidWithZero.toZero.{u3} R (CommSemiring.toCommMonoidWithZero.{u3} R _inst_1)) (MulActionWithZero.toSMulWithZero.{u2, u3} S₁ R (Semiring.toMonoidWithZero.{u2} S₁ _inst_3) (CommMonoidWithZero.toZero.{u3} R (CommSemiring.toCommMonoidWithZero.{u3} R _inst_1)) (Module.toMulActionWithZero.{u2, u3} S₁ R _inst_3 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) _inst_4)))))) a p)) (MvPolynomial.support.{u3, u1} R σ _inst_1 p))
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.support_smul_eq MvPolynomial.support_smul_eqₓ'. -/
 @[simp]
 theorem support_smul_eq {S₁ : Type _} [Semiring S₁] [Module S₁ R] [NoZeroSMulDivisors S₁ R] {a : S₁}
     (h : a ≠ 0) (p : MvPolynomial σ R) : (a • p).support = p.support :=
@@ -1419,6 +1431,12 @@ theorem ne_zero_iff {p : MvPolynomial σ R} : p ≠ 0 ↔ ∃ d, coeff d p ≠ 0
   push_neg
 #align mv_polynomial.ne_zero_iff MvPolynomial.ne_zero_iff
 
+/- warning: mv_polynomial.support_eq_empty -> MvPolynomial.support_eq_empty is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {p : MvPolynomial.{u2, u1} σ R _inst_1}, Iff (Eq.{succ u2} (Finset.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (MvPolynomial.support.{u1, u2} R σ _inst_1 p) (EmptyCollection.emptyCollection.{u2} (Finset.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (Finset.hasEmptyc.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)))) (Eq.{max (succ u2) (succ u1)} (MvPolynomial.{u2, u1} σ R _inst_1) p (OfNat.ofNat.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) 0 (OfNat.mk.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) 0 (Zero.zero.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MulZeroClass.toHasZero.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toMulZeroClass.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))))))
+but is expected to have type
+  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] {p : MvPolynomial.{u1, u2} σ R _inst_1}, Iff (Eq.{succ u1} (Finset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (MvPolynomial.support.{u2, u1} R σ _inst_1 p) (EmptyCollection.emptyCollection.{u1} (Finset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (Finset.instEmptyCollectionFinset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))))) (Eq.{max (succ u2) (succ u1)} (MvPolynomial.{u1, u2} σ R _inst_1) p (OfNat.ofNat.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) 0 (Zero.toOfNat0.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommMonoidWithZero.toZero.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toCommMonoidWithZero.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.support_eq_empty MvPolynomial.support_eq_emptyₓ'. -/
 @[simp]
 theorem support_eq_empty {p : MvPolynomial σ R} : p.support = ∅ ↔ p = 0 :=
   Finsupp.support_eq_empty
@@ -1523,7 +1541,7 @@ variable {R}
 lean 3 declaration is
   forall {S₁ : Type.{u1}} {σ : Type.{u2}} [_inst_2 : CommSemiring.{u1} S₁] {R : Type.{u3}} [_inst_3 : SMulZeroClass.{u3, u1} R S₁ (MulZeroClass.toHasZero.{u1} S₁ (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} S₁ (Semiring.toNonAssocSemiring.{u1} S₁ (CommSemiring.toSemiring.{u1} S₁ _inst_2)))))] (a : R) (f : MvPolynomial.{u2, u1} σ S₁ _inst_2), Eq.{succ u1} S₁ (coeFn.{max (succ (max u2 u1)) (succ u1), max (succ (max u2 u1)) (succ u1)} (RingHom.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u1, u2} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u1} S₁ (CommSemiring.toSemiring.{u1} S₁ _inst_2))) (fun (_x : RingHom.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u1, u2} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u1} S₁ (CommSemiring.toSemiring.{u1} S₁ _inst_2))) => (MvPolynomial.{u2, u1} σ S₁ _inst_2) -> S₁) (RingHom.hasCoeToFun.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u1, u2} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u1} S₁ (CommSemiring.toSemiring.{u1} S₁ _inst_2))) (MvPolynomial.constantCoeff.{u1, u2} S₁ σ _inst_2) (SMul.smul.{u3, max u2 u1} R (MvPolynomial.{u2, u1} σ S₁ _inst_2) (SMulZeroClass.toHasSmul.{u3, max u2 u1} R (MvPolynomial.{u2, u1} σ S₁ _inst_2) (MulZeroClass.toHasZero.{max u2 u1} (MvPolynomial.{u2, u1} σ S₁ _inst_2) (NonUnitalNonAssocSemiring.toMulZeroClass.{max u2 u1} (MvPolynomial.{u2, u1} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u1, u2} S₁ σ _inst_2)))))) (MvPolynomial.smulZeroClass.{u3, u1, u2} R S₁ σ _inst_2 _inst_3)) a f)) (SMul.smul.{u3, u1} R S₁ (SMulZeroClass.toHasSmul.{u3, u1} R S₁ (MulZeroClass.toHasZero.{u1} S₁ (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} S₁ (Semiring.toNonAssocSemiring.{u1} S₁ (CommSemiring.toSemiring.{u1} S₁ _inst_2))))) _inst_3) a (coeFn.{max (succ (max u2 u1)) (succ u1), max (succ (max u2 u1)) (succ u1)} (RingHom.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u1, u2} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u1} S₁ (CommSemiring.toSemiring.{u1} S₁ _inst_2))) (fun (_x : RingHom.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u1, u2} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u1} S₁ (CommSemiring.toSemiring.{u1} S₁ _inst_2))) => (MvPolynomial.{u2, u1} σ S₁ _inst_2) -> S₁) (RingHom.hasCoeToFun.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u1, u2} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u1} S₁ (CommSemiring.toSemiring.{u1} S₁ _inst_2))) (MvPolynomial.constantCoeff.{u1, u2} S₁ σ _inst_2) f))
 but is expected to have type
-  forall {S₁ : Type.{u2}} {σ : Type.{u3}} {_inst_2 : Type.{u1}} [R : CommSemiring.{u2} S₁] [_inst_3 : CommSemiring.{u3} σ] [a : DistribMulAction.{u2, u3} S₁ σ (MonoidWithZero.toMonoid.{u2} S₁ (Semiring.toMonoidWithZero.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ R))) (AddMonoidWithOne.toAddMonoid.{u3} σ (AddCommMonoidWithOne.toAddMonoidWithOne.{u3} σ (NonAssocSemiring.toAddCommMonoidWithOne.{u3} σ (Semiring.toNonAssocSemiring.{u3} σ (CommSemiring.toSemiring.{u3} σ _inst_3)))))] (f : S₁) (f_1 : MvPolynomial.{u1, u3} _inst_2 σ _inst_3), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u3} _inst_2 σ _inst_3) => σ) (HSMul.hSMul.{u2, max u3 u1, max u3 u1} S₁ (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) (instHSMul.{u2, max u3 u1} S₁ (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) (SMulZeroClass.toSMul.{u2, max u3 u1} S₁ (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) (CommMonoidWithZero.toZero.{max u3 u1} (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) (CommSemiring.toCommMonoidWithZero.{max u3 u1} (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) (MvPolynomial.commSemiring.{u3, u1} σ _inst_2 _inst_3))) (DistribSMul.toSMulZeroClass.{u2, max u3 u1} S₁ (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) (AddMonoid.toAddZeroClass.{max u3 u1} (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) (AddMonoidWithOne.toAddMonoid.{max u3 u1} (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) (AddCommMonoidWithOne.toAddMonoidWithOne.{max u3 u1} (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) (NonAssocSemiring.toAddCommMonoidWithOne.{max u3 u1} (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) (MvPolynomial.commSemiring.{u3, u1} σ _inst_2 _inst_3))))))) (DistribMulAction.toDistribSMul.{u2, max u3 u1} S₁ (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) (MonoidWithZero.toMonoid.{u2} S₁ (Semiring.toMonoidWithZero.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ R))) (AddMonoidWithOne.toAddMonoid.{max u3 u1} (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) (AddCommMonoidWithOne.toAddMonoidWithOne.{max u3 u1} (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) (NonAssocSemiring.toAddCommMonoidWithOne.{max u3 u1} (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) (MvPolynomial.commSemiring.{u3, u1} σ _inst_2 _inst_3)))))) (MvPolynomial.distribuMulAction.{u2, u3, u1} S₁ σ _inst_2 (MonoidWithZero.toMonoid.{u2} S₁ (Semiring.toMonoidWithZero.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ R))) _inst_3 a))))) f f_1)) (FunLike.coe.{max (succ u1) (succ u3), max (succ u1) (succ u3), succ u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) σ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) (MvPolynomial.commSemiring.{u3, u1} σ _inst_2 _inst_3))) (Semiring.toNonAssocSemiring.{u3} σ (CommSemiring.toSemiring.{u3} σ _inst_3))) (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) (fun (a : MvPolynomial.{u1, u3} _inst_2 σ _inst_3) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u3} _inst_2 σ _inst_3) => σ) a) (MulHomClass.toFunLike.{max u1 u3, max u1 u3, u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) σ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) (MvPolynomial.commSemiring.{u3, u1} σ _inst_2 _inst_3))) (Semiring.toNonAssocSemiring.{u3} σ (CommSemiring.toSemiring.{u3} σ _inst_3))) (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) σ (NonUnitalNonAssocSemiring.toMul.{max u1 u3} (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) (MvPolynomial.commSemiring.{u3, u1} σ _inst_2 _inst_3))))) (NonUnitalNonAssocSemiring.toMul.{u3} σ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} σ (Semiring.toNonAssocSemiring.{u3} σ (CommSemiring.toSemiring.{u3} σ _inst_3)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u3, max u1 u3, u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) σ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) (MvPolynomial.commSemiring.{u3, u1} σ _inst_2 _inst_3))) (Semiring.toNonAssocSemiring.{u3} σ (CommSemiring.toSemiring.{u3} σ _inst_3))) (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) σ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) (MvPolynomial.commSemiring.{u3, u1} σ _inst_2 _inst_3)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} σ (Semiring.toNonAssocSemiring.{u3} σ (CommSemiring.toSemiring.{u3} σ _inst_3))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u3, max u1 u3, u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) σ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) (MvPolynomial.commSemiring.{u3, u1} σ _inst_2 _inst_3))) (Semiring.toNonAssocSemiring.{u3} σ (CommSemiring.toSemiring.{u3} σ _inst_3))) (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) σ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) (MvPolynomial.commSemiring.{u3, u1} σ _inst_2 _inst_3))) (Semiring.toNonAssocSemiring.{u3} σ (CommSemiring.toSemiring.{u3} σ _inst_3)) (RingHom.instRingHomClassRingHom.{max u1 u3, u3} (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) σ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) (MvPolynomial.commSemiring.{u3, u1} σ _inst_2 _inst_3))) (Semiring.toNonAssocSemiring.{u3} σ (CommSemiring.toSemiring.{u3} σ _inst_3)))))) (MvPolynomial.constantCoeff.{u3, u1} σ _inst_2 _inst_3) (HSMul.hSMul.{u2, max u3 u1, max u3 u1} S₁ (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) (instHSMul.{u2, max u3 u1} S₁ (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) (SMulZeroClass.toSMul.{u2, max u3 u1} S₁ (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) (CommMonoidWithZero.toZero.{max u3 u1} (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) (CommSemiring.toCommMonoidWithZero.{max u3 u1} (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) (MvPolynomial.commSemiring.{u3, u1} σ _inst_2 _inst_3))) (DistribSMul.toSMulZeroClass.{u2, max u3 u1} S₁ (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) (AddMonoid.toAddZeroClass.{max u3 u1} (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) (AddMonoidWithOne.toAddMonoid.{max u3 u1} (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) (AddCommMonoidWithOne.toAddMonoidWithOne.{max u3 u1} (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) (NonAssocSemiring.toAddCommMonoidWithOne.{max u3 u1} (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) (MvPolynomial.commSemiring.{u3, u1} σ _inst_2 _inst_3))))))) (DistribMulAction.toDistribSMul.{u2, max u3 u1} S₁ (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) (MonoidWithZero.toMonoid.{u2} S₁ (Semiring.toMonoidWithZero.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ R))) (AddMonoidWithOne.toAddMonoid.{max u3 u1} (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) (AddCommMonoidWithOne.toAddMonoidWithOne.{max u3 u1} (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) (NonAssocSemiring.toAddCommMonoidWithOne.{max u3 u1} (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) (MvPolynomial.commSemiring.{u3, u1} σ _inst_2 _inst_3)))))) (MvPolynomial.distribuMulAction.{u2, u3, u1} S₁ σ _inst_2 (MonoidWithZero.toMonoid.{u2} S₁ (Semiring.toMonoidWithZero.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ R))) _inst_3 a))))) f f_1)) (HSMul.hSMul.{u2, u3, u3} S₁ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u3} _inst_2 σ _inst_3) => σ) f_1) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u3} _inst_2 σ _inst_3) => σ) f_1) (instHSMul.{u2, u3} S₁ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u3} _inst_2 σ _inst_3) => σ) f_1) (SMulZeroClass.toSMul.{u2, u3} S₁ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u3} _inst_2 σ _inst_3) => σ) f_1) (CommMonoidWithZero.toZero.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u3} _inst_2 σ _inst_3) => σ) f_1) (CommSemiring.toCommMonoidWithZero.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u3} _inst_2 σ _inst_3) => σ) f_1) _inst_3)) (DistribSMul.toSMulZeroClass.{u2, u3} S₁ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u3} _inst_2 σ _inst_3) => σ) f_1) (AddMonoid.toAddZeroClass.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u3} _inst_2 σ _inst_3) => σ) f_1) (AddMonoidWithOne.toAddMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u3} _inst_2 σ _inst_3) => σ) f_1) (AddCommMonoidWithOne.toAddMonoidWithOne.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u3} _inst_2 σ _inst_3) => σ) f_1) (NonAssocSemiring.toAddCommMonoidWithOne.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u3} _inst_2 σ _inst_3) => σ) f_1) (Semiring.toNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u3} _inst_2 σ _inst_3) => σ) f_1) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u3} _inst_2 σ _inst_3) => σ) f_1) _inst_3)))))) (DistribMulAction.toDistribSMul.{u2, u3} S₁ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u3} _inst_2 σ _inst_3) => σ) f_1) (MonoidWithZero.toMonoid.{u2} S₁ (Semiring.toMonoidWithZero.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ R))) (AddMonoidWithOne.toAddMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u3} _inst_2 σ _inst_3) => σ) f_1) (AddCommMonoidWithOne.toAddMonoidWithOne.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u3} _inst_2 σ _inst_3) => σ) f_1) (NonAssocSemiring.toAddCommMonoidWithOne.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u3} _inst_2 σ _inst_3) => σ) f_1) (Semiring.toNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u3} _inst_2 σ _inst_3) => σ) f_1) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u3} _inst_2 σ _inst_3) => σ) f_1) _inst_3))))) a)))) f (FunLike.coe.{max (succ u1) (succ u3), max (succ u1) (succ u3), succ u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) σ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) (MvPolynomial.commSemiring.{u3, u1} σ _inst_2 _inst_3))) (Semiring.toNonAssocSemiring.{u3} σ (CommSemiring.toSemiring.{u3} σ _inst_3))) (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) (fun (a : MvPolynomial.{u1, u3} _inst_2 σ _inst_3) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u3} _inst_2 σ _inst_3) => σ) a) (MulHomClass.toFunLike.{max u1 u3, max u1 u3, u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) σ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) (MvPolynomial.commSemiring.{u3, u1} σ _inst_2 _inst_3))) (Semiring.toNonAssocSemiring.{u3} σ (CommSemiring.toSemiring.{u3} σ _inst_3))) (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) σ (NonUnitalNonAssocSemiring.toMul.{max u1 u3} (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) (MvPolynomial.commSemiring.{u3, u1} σ _inst_2 _inst_3))))) (NonUnitalNonAssocSemiring.toMul.{u3} σ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} σ (Semiring.toNonAssocSemiring.{u3} σ (CommSemiring.toSemiring.{u3} σ _inst_3)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u3, max u1 u3, u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) σ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) (MvPolynomial.commSemiring.{u3, u1} σ _inst_2 _inst_3))) (Semiring.toNonAssocSemiring.{u3} σ (CommSemiring.toSemiring.{u3} σ _inst_3))) (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) σ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) (MvPolynomial.commSemiring.{u3, u1} σ _inst_2 _inst_3)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} σ (Semiring.toNonAssocSemiring.{u3} σ (CommSemiring.toSemiring.{u3} σ _inst_3))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u3, max u1 u3, u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) σ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) (MvPolynomial.commSemiring.{u3, u1} σ _inst_2 _inst_3))) (Semiring.toNonAssocSemiring.{u3} σ (CommSemiring.toSemiring.{u3} σ _inst_3))) (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) σ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) (MvPolynomial.commSemiring.{u3, u1} σ _inst_2 _inst_3))) (Semiring.toNonAssocSemiring.{u3} σ (CommSemiring.toSemiring.{u3} σ _inst_3)) (RingHom.instRingHomClassRingHom.{max u1 u3, u3} (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) σ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) (MvPolynomial.commSemiring.{u3, u1} σ _inst_2 _inst_3))) (Semiring.toNonAssocSemiring.{u3} σ (CommSemiring.toSemiring.{u3} σ _inst_3)))))) (MvPolynomial.constantCoeff.{u3, u1} σ _inst_2 _inst_3) f_1))
+  forall {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_2 : CommSemiring.{u3} S₁] {R : Type.{u2}} [_inst_3 : SMulZeroClass.{u2, u3} R S₁ (CommMonoidWithZero.toZero.{u3} S₁ (CommSemiring.toCommMonoidWithZero.{u3} S₁ _inst_2))] (a : R) (f : MvPolynomial.{u1, u3} σ S₁ _inst_2), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u3} σ S₁ _inst_2) => S₁) (HSMul.hSMul.{u2, max u3 u1, max u3 u1} R (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (instHSMul.{u2, max u3 u1} R (MvPolynomial.{u1, u3} σ S₁ _inst_2) (SMulZeroClass.toSMul.{u2, max u3 u1} R (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommMonoidWithZero.toZero.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toCommMonoidWithZero.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (MvPolynomial.smulZeroClass.{u2, u3, u1} R S₁ σ _inst_2 _inst_3))) a f)) (FunLike.coe.{max (succ u1) (succ u3), max (succ u1) (succ u3), succ u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (fun (_x : MvPolynomial.{u1, u3} σ S₁ _inst_2) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u3} σ S₁ _inst_2) => S₁) _x) (MulHomClass.toFunLike.{max u1 u3, max u1 u3, u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (NonUnitalNonAssocSemiring.toMul.{max u1 u3} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u3, max u1 u3, u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u3, max u1 u3, u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{max u1 u3, u3} (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (MvPolynomial.constantCoeff.{u3, u1} S₁ σ _inst_2) (HSMul.hSMul.{u2, max u3 u1, max u3 u1} R (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (instHSMul.{u2, max u3 u1} R (MvPolynomial.{u1, u3} σ S₁ _inst_2) (SMulZeroClass.toSMul.{u2, max u3 u1} R (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommMonoidWithZero.toZero.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toCommMonoidWithZero.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (MvPolynomial.smulZeroClass.{u2, u3, u1} R S₁ σ _inst_2 _inst_3))) a f)) (HSMul.hSMul.{u2, u3, u3} R ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u3} σ S₁ _inst_2) => S₁) f) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u3} σ S₁ _inst_2) => S₁) f) (instHSMul.{u2, u3} R ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u3} σ S₁ _inst_2) => S₁) f) (SMulZeroClass.toSMul.{u2, u3} R ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u3} σ S₁ _inst_2) => S₁) f) (CommMonoidWithZero.toZero.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u3} σ S₁ _inst_2) => S₁) f) (CommSemiring.toCommMonoidWithZero.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u3} σ S₁ _inst_2) => S₁) f) _inst_2)) _inst_3)) a (FunLike.coe.{max (succ u1) (succ u3), max (succ u1) (succ u3), succ u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (fun (_x : MvPolynomial.{u1, u3} σ S₁ _inst_2) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u3} σ S₁ _inst_2) => S₁) _x) (MulHomClass.toFunLike.{max u1 u3, max u1 u3, u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (NonUnitalNonAssocSemiring.toMul.{max u1 u3} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u3, max u1 u3, u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u3, max u1 u3, u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{max u1 u3, u3} (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (MvPolynomial.constantCoeff.{u3, u1} S₁ σ _inst_2) f))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.constant_coeff_smul MvPolynomial.constantCoeff_smulₓ'. -/
 @[simp]
 theorem constantCoeff_smul {R : Type _} [SMulZeroClass R S₁] (a : R) (f : MvPolynomial σ S₁) :
@@ -2604,7 +2622,7 @@ theorem map_aeval {B : Type _} [CommSemiring B] (g : σ → S₁) (φ : S₁ →
 lean 3 declaration is
   forall {R : Type.{u1}} {S₂ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_4 : CommSemiring.{u2} S₂] (f : RingHom.{u1, u2} R S₂ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4))), Eq.{max (succ (max u3 u1)) (succ u2)} (RingHom.{max u3 u1, u2} (MvPolynomial.{u3, u1} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4))) (MvPolynomial.eval₂Hom.{u1, u2, u3} R S₂ σ _inst_1 _inst_4 f (OfNat.ofNat.{max u3 u2} (σ -> S₂) 0 (OfNat.mk.{max u3 u2} (σ -> S₂) 0 (Zero.zero.{max u3 u2} (σ -> S₂) (Pi.instZero.{u3, u2} σ (fun (ᾰ : σ) => S₂) (fun (i : σ) => MulZeroClass.toHasZero.{u2} S₂ (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S₂ (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4)))))))))) (RingHom.comp.{max u3 u1, u1, u2} (MvPolynomial.{u3, u1} σ R _inst_1) R S₂ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4)) f (MvPolynomial.constantCoeff.{u1, u3} R σ _inst_1))
 but is expected to have type
-  forall {R : Type.{u2}} {S₂ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_4 : CommSemiring.{u3} S₂] (f : RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))), Eq.{max (max (succ u2) (succ u3)) (succ u1)} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (MvPolynomial.eval₂Hom.{u2, u3, u1} R S₂ σ _inst_1 _inst_4 f (OfNat.ofNat.{max u3 u1} (σ -> S₂) 0 (Zero.toOfNat0.{max u3 u1} (σ -> S₂) (Pi.instZero.{u1, u3} σ (fun (a._@.Mathlib.Data.MvPolynomial.Basic._hyg.20294 : σ) => S₂) (fun (i : σ) => CommMonoidWithZero.toZero.{u3} S₂ (CommSemiring.toCommMonoidWithZero.{u3} S₂ _inst_4)))))) (RingHom.comp.{max u1 u2, u2, u3} (MvPolynomial.{u1, u2} σ R _inst_1) R S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)) f (MvPolynomial.constantCoeff.{u2, u1} R σ _inst_1))
+  forall {R : Type.{u2}} {S₂ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_4 : CommSemiring.{u3} S₂] (f : RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))), Eq.{max (max (succ u2) (succ u3)) (succ u1)} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (MvPolynomial.eval₂Hom.{u2, u3, u1} R S₂ σ _inst_1 _inst_4 f (OfNat.ofNat.{max u3 u1} (σ -> S₂) 0 (Zero.toOfNat0.{max u3 u1} (σ -> S₂) (Pi.instZero.{u1, u3} σ (fun (a._@.Mathlib.Data.MvPolynomial.Basic._hyg.20500 : σ) => S₂) (fun (i : σ) => CommMonoidWithZero.toZero.{u3} S₂ (CommSemiring.toCommMonoidWithZero.{u3} S₂ _inst_4)))))) (RingHom.comp.{max u1 u2, u2, u3} (MvPolynomial.{u1, u2} σ R _inst_1) R S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)) f (MvPolynomial.constantCoeff.{u2, u1} R σ _inst_1))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval₂_hom_zero MvPolynomial.eval₂Hom_zeroₓ'. -/
 @[simp]
 theorem eval₂Hom_zero (f : R →+* S₂) : eval₂Hom f (0 : σ → S₂) = f.comp constantCoeff := by
@@ -2626,7 +2644,7 @@ theorem eval₂Hom_zero' (f : R →+* S₂) : eval₂Hom f (fun _ => 0 : σ →
 lean 3 declaration is
   forall {R : Type.{u1}} {S₂ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_4 : CommSemiring.{u2} S₂] (f : RingHom.{u1, u2} R S₂ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4))) (p : MvPolynomial.{u3, u1} σ R _inst_1), Eq.{succ u2} S₂ (coeFn.{max (succ (max u3 u1)) (succ u2), max (succ (max u3 u1)) (succ u2)} (RingHom.{max u3 u1, u2} (MvPolynomial.{u3, u1} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4))) (fun (_x : RingHom.{max u3 u1, u2} (MvPolynomial.{u3, u1} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4))) => (MvPolynomial.{u3, u1} σ R _inst_1) -> S₂) (RingHom.hasCoeToFun.{max u3 u1, u2} (MvPolynomial.{u3, u1} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4))) (MvPolynomial.eval₂Hom.{u1, u2, u3} R S₂ σ _inst_1 _inst_4 f (OfNat.ofNat.{max u3 u2} (σ -> S₂) 0 (OfNat.mk.{max u3 u2} (σ -> S₂) 0 (Zero.zero.{max u3 u2} (σ -> S₂) (Pi.instZero.{u3, u2} σ (fun (ᾰ : σ) => S₂) (fun (i : σ) => MulZeroClass.toHasZero.{u2} S₂ (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S₂ (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4)))))))))) p) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R S₂ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4))) (fun (_x : RingHom.{u1, u2} R S₂ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4))) => R -> S₂) (RingHom.hasCoeToFun.{u1, u2} R S₂ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4))) f (coeFn.{max (succ (max u3 u1)) (succ u1), max (succ (max u3 u1)) (succ u1)} (RingHom.{max u3 u1, u1} (MvPolynomial.{u3, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (fun (_x : RingHom.{max u3 u1, u1} (MvPolynomial.{u3, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) => (MvPolynomial.{u3, u1} σ R _inst_1) -> R) (RingHom.hasCoeToFun.{max u3 u1, u1} (MvPolynomial.{u3, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.constantCoeff.{u1, u3} R σ _inst_1) p))
 but is expected to have type
-  forall {R : Type.{u2}} {S₂ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_4 : CommSemiring.{u3} S₂] (f : RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (p : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => S₂) p) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u2) (succ u1), succ u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => S₂) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u3} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)) (RingHom.instRingHomClassRingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)))))) (MvPolynomial.eval₂Hom.{u2, u3, u1} R S₂ σ _inst_1 _inst_4 f (OfNat.ofNat.{max u3 u1} (σ -> S₂) 0 (Zero.toOfNat0.{max u3 u1} (σ -> S₂) (Pi.instZero.{u1, u3} σ (fun (a._@.Mathlib.Data.MvPolynomial.Basic._hyg.20448 : σ) => S₂) (fun (i : σ) => CommMonoidWithZero.toZero.{u3} S₂ (CommSemiring.toCommMonoidWithZero.{u3} S₂ _inst_4)))))) p) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₂) _x) (MulHomClass.toFunLike.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) R S₂ (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) R S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)) (RingHom.instRingHomClassRingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)))))) f (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), succ u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) _x) (MulHomClass.toFunLike.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (RingHom.instRingHomClassRingHom.{max u1 u2, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))))) (MvPolynomial.constantCoeff.{u2, u1} R σ _inst_1) p))
+  forall {R : Type.{u2}} {S₂ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_4 : CommSemiring.{u3} S₂] (f : RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (p : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => S₂) p) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u2) (succ u1), succ u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => S₂) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u3} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)) (RingHom.instRingHomClassRingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)))))) (MvPolynomial.eval₂Hom.{u2, u3, u1} R S₂ σ _inst_1 _inst_4 f (OfNat.ofNat.{max u3 u1} (σ -> S₂) 0 (Zero.toOfNat0.{max u3 u1} (σ -> S₂) (Pi.instZero.{u1, u3} σ (fun (a._@.Mathlib.Data.MvPolynomial.Basic._hyg.20654 : σ) => S₂) (fun (i : σ) => CommMonoidWithZero.toZero.{u3} S₂ (CommSemiring.toCommMonoidWithZero.{u3} S₂ _inst_4)))))) p) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₂) _x) (MulHomClass.toFunLike.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) R S₂ (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) R S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)) (RingHom.instRingHomClassRingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)))))) f (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), succ u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) _x) (MulHomClass.toFunLike.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (RingHom.instRingHomClassRingHom.{max u1 u2, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))))) (MvPolynomial.constantCoeff.{u2, u1} R σ _inst_1) p))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval₂_hom_zero_apply MvPolynomial.eval₂Hom_zero_applyₓ'. -/
 theorem eval₂Hom_zero_apply (f : R →+* S₂) (p : MvPolynomial σ R) :
     eval₂Hom f (0 : σ → S₂) p = f (constantCoeff p) :=
@@ -2648,7 +2666,7 @@ theorem eval₂Hom_zero'_apply (f : R →+* S₂) (p : MvPolynomial σ R) :
 lean 3 declaration is
   forall {R : Type.{u1}} {S₂ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_4 : CommSemiring.{u2} S₂] (f : RingHom.{u1, u2} R S₂ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4))) (p : MvPolynomial.{u3, u1} σ R _inst_1), Eq.{succ u2} S₂ (MvPolynomial.eval₂.{u1, u2, u3} R S₂ σ _inst_1 _inst_4 f (OfNat.ofNat.{max u3 u2} (σ -> S₂) 0 (OfNat.mk.{max u3 u2} (σ -> S₂) 0 (Zero.zero.{max u3 u2} (σ -> S₂) (Pi.instZero.{u3, u2} σ (fun (ᾰ : σ) => S₂) (fun (i : σ) => MulZeroClass.toHasZero.{u2} S₂ (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S₂ (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4))))))))) p) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R S₂ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4))) (fun (_x : RingHom.{u1, u2} R S₂ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4))) => R -> S₂) (RingHom.hasCoeToFun.{u1, u2} R S₂ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4))) f (coeFn.{max (succ (max u3 u1)) (succ u1), max (succ (max u3 u1)) (succ u1)} (RingHom.{max u3 u1, u1} (MvPolynomial.{u3, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (fun (_x : RingHom.{max u3 u1, u1} (MvPolynomial.{u3, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) => (MvPolynomial.{u3, u1} σ R _inst_1) -> R) (RingHom.hasCoeToFun.{max u3 u1, u1} (MvPolynomial.{u3, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.constantCoeff.{u1, u3} R σ _inst_1) p))
 but is expected to have type
-  forall {R : Type.{u2}} {S₂ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_4 : CommSemiring.{u3} S₂] (f : RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (p : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{succ u3} S₂ (MvPolynomial.eval₂.{u2, u3, u1} R S₂ σ _inst_1 _inst_4 f (OfNat.ofNat.{max u3 u1} (σ -> S₂) 0 (Zero.toOfNat0.{max u3 u1} (σ -> S₂) (Pi.instZero.{u1, u3} σ (fun (a._@.Mathlib.Data.MvPolynomial.Basic._hyg.20607 : σ) => S₂) (fun (i : σ) => CommMonoidWithZero.toZero.{u3} S₂ (CommSemiring.toCommMonoidWithZero.{u3} S₂ _inst_4))))) p) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₂) _x) (MulHomClass.toFunLike.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) R S₂ (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) R S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)) (RingHom.instRingHomClassRingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)))))) f (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), succ u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) _x) (MulHomClass.toFunLike.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (RingHom.instRingHomClassRingHom.{max u1 u2, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))))) (MvPolynomial.constantCoeff.{u2, u1} R σ _inst_1) p))
+  forall {R : Type.{u2}} {S₂ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_4 : CommSemiring.{u3} S₂] (f : RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (p : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{succ u3} S₂ (MvPolynomial.eval₂.{u2, u3, u1} R S₂ σ _inst_1 _inst_4 f (OfNat.ofNat.{max u3 u1} (σ -> S₂) 0 (Zero.toOfNat0.{max u3 u1} (σ -> S₂) (Pi.instZero.{u1, u3} σ (fun (a._@.Mathlib.Data.MvPolynomial.Basic._hyg.20813 : σ) => S₂) (fun (i : σ) => CommMonoidWithZero.toZero.{u3} S₂ (CommSemiring.toCommMonoidWithZero.{u3} S₂ _inst_4))))) p) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₂) _x) (MulHomClass.toFunLike.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) R S₂ (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) R S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)) (RingHom.instRingHomClassRingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)))))) f (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), succ u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) _x) (MulHomClass.toFunLike.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (RingHom.instRingHomClassRingHom.{max u1 u2, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))))) (MvPolynomial.constantCoeff.{u2, u1} R σ _inst_1) p))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval₂_zero_apply MvPolynomial.eval₂_zero_applyₓ'. -/
 @[simp]
 theorem eval₂_zero_apply (f : R →+* S₂) (p : MvPolynomial σ R) :
@@ -2672,7 +2690,7 @@ theorem eval₂_zero'_apply (f : R →+* S₂) (p : MvPolynomial σ R) :
 lean 3 declaration is
   forall {R : Type.{u1}} {S₁ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] [_inst_3 : Algebra.{u1, u2} R S₁ _inst_1 (CommSemiring.toSemiring.{u2} S₁ _inst_2)] (p : MvPolynomial.{u3, u1} σ R _inst_1), Eq.{succ u2} S₁ (coeFn.{max (succ (max u3 u1)) (succ u2), max (succ (max u3 u1)) (succ u2)} (AlgHom.{u1, max u3 u1, u2} R (MvPolynomial.{u3, u1} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (CommSemiring.toSemiring.{u2} S₁ _inst_2) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_3) (fun (_x : AlgHom.{u1, max u3 u1, u2} R (MvPolynomial.{u3, u1} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (CommSemiring.toSemiring.{u2} S₁ _inst_2) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_3) => (MvPolynomial.{u3, u1} σ R _inst_1) -> S₁) ([anonymous].{u1, max u3 u1, u2} R (MvPolynomial.{u3, u1} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (CommSemiring.toSemiring.{u2} S₁ _inst_2) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_3) (MvPolynomial.aeval.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 _inst_3 (OfNat.ofNat.{max u3 u2} (σ -> S₁) 0 (OfNat.mk.{max u3 u2} (σ -> S₁) 0 (Zero.zero.{max u3 u2} (σ -> S₁) (Pi.instZero.{u3, u2} σ (fun (ᾰ : σ) => S₁) (fun (i : σ) => MulZeroClass.toHasZero.{u2} S₁ (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S₁ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)))))))))) p) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (fun (_x : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) => R -> S₁) (RingHom.hasCoeToFun.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (algebraMap.{u1, u2} R S₁ _inst_1 (CommSemiring.toSemiring.{u2} S₁ _inst_2) _inst_3) (coeFn.{max (succ (max u3 u1)) (succ u1), max (succ (max u3 u1)) (succ u1)} (RingHom.{max u3 u1, u1} (MvPolynomial.{u3, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (fun (_x : RingHom.{max u3 u1, u1} (MvPolynomial.{u3, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) => (MvPolynomial.{u3, u1} σ R _inst_1) -> R) (RingHom.hasCoeToFun.{max u3 u1, u1} (MvPolynomial.{u3, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.constantCoeff.{u1, u3} R σ _inst_1) p))
 but is expected to have type
-  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] [_inst_3 : Algebra.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2)] (p : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u1, u2} σ R _inst_1) => S₁) p) (FunLike.coe.{max (max (succ u3) (succ u1)) (succ u2), max (succ u1) (succ u2), succ u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u1, u2} σ R _inst_1) => S₁) _x) (SMulHomClass.toFunLike.{max (max u3 u1) u2, u2, max u1 u2, u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (SMulZeroClass.toSMul.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (AddMonoid.toZero.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (DistribSMul.toSMulZeroClass.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (DistribMulAction.toDistribSMul.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))))))) (SMulZeroClass.toSMul.{u2, u3} R S₁ (AddMonoid.toZero.{u3} S₁ (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (DistribSMul.toSMulZeroClass.{u2, u3} R S₁ (AddMonoid.toAddZeroClass.{u3} S₁ (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (DistribMulAction.toDistribSMul.{u2, u3} R S₁ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))))) (Module.toDistribMulAction.{u2, u3} R S₁ (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (Algebra.toModule.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3))))) (DistribMulActionHomClass.toSMulHomClass.{max (max u3 u1) u2, u2, max u1 u2, u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (Module.toDistribMulAction.{u2, u3} R S₁ (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (Algebra.toModule.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max (max u3 u1) u2, u2, max u1 u2, u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (Module.toDistribMulAction.{u2, u3} R S₁ (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (Algebra.toModule.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u2, max u1 u2, u3, max (max u3 u1) u2} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3 (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) (AlgHom.algHomClass.{u2, max u1 u2, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3))))) (MvPolynomial.aeval.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 _inst_3 (OfNat.ofNat.{max u3 u1} (σ -> S₁) 0 (Zero.toOfNat0.{max u3 u1} (σ -> S₁) (Pi.instZero.{u1, u3} σ (fun (a._@.Mathlib.Data.MvPolynomial.Basic._hyg.20755 : σ) => S₁) (fun (i : σ) => CommMonoidWithZero.toZero.{u3} S₁ (CommSemiring.toCommMonoidWithZero.{u3} S₁ _inst_2)))))) p) (FunLike.coe.{max (succ u3) (succ u2), succ u2, succ u3} (RingHom.{u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (fun (_x : (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) => S₁) _x) (MulHomClass.toFunLike.{max u3 u2, u2, u3} (RingHom.{u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (NonUnitalNonAssocSemiring.toMul.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u3 u2, u2, u3} (RingHom.{u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u3 u2, u2, u3} (RingHom.{u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (algebraMap.{u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3) (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), succ u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) _x) (MulHomClass.toFunLike.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (RingHom.instRingHomClassRingHom.{max u1 u2, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))))) (MvPolynomial.constantCoeff.{u2, u1} R σ _inst_1) p))
+  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] [_inst_3 : Algebra.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2)] (p : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u1, u2} σ R _inst_1) => S₁) p) (FunLike.coe.{max (max (succ u3) (succ u1)) (succ u2), max (succ u1) (succ u2), succ u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u1, u2} σ R _inst_1) => S₁) _x) (SMulHomClass.toFunLike.{max (max u3 u1) u2, u2, max u1 u2, u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (SMulZeroClass.toSMul.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (AddMonoid.toZero.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (DistribSMul.toSMulZeroClass.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (DistribMulAction.toDistribSMul.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))))))) (SMulZeroClass.toSMul.{u2, u3} R S₁ (AddMonoid.toZero.{u3} S₁ (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (DistribSMul.toSMulZeroClass.{u2, u3} R S₁ (AddMonoid.toAddZeroClass.{u3} S₁ (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (DistribMulAction.toDistribSMul.{u2, u3} R S₁ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))))) (Module.toDistribMulAction.{u2, u3} R S₁ (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (Algebra.toModule.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3))))) (DistribMulActionHomClass.toSMulHomClass.{max (max u3 u1) u2, u2, max u1 u2, u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (Module.toDistribMulAction.{u2, u3} R S₁ (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (Algebra.toModule.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max (max u3 u1) u2, u2, max u1 u2, u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (Module.toDistribMulAction.{u2, u3} R S₁ (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (Algebra.toModule.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u2, max u1 u2, u3, max (max u3 u1) u2} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3 (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) (AlgHom.algHomClass.{u2, max u1 u2, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3))))) (MvPolynomial.aeval.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 _inst_3 (OfNat.ofNat.{max u3 u1} (σ -> S₁) 0 (Zero.toOfNat0.{max u3 u1} (σ -> S₁) (Pi.instZero.{u1, u3} σ (fun (a._@.Mathlib.Data.MvPolynomial.Basic._hyg.20961 : σ) => S₁) (fun (i : σ) => CommMonoidWithZero.toZero.{u3} S₁ (CommSemiring.toCommMonoidWithZero.{u3} S₁ _inst_2)))))) p) (FunLike.coe.{max (succ u3) (succ u2), succ u2, succ u3} (RingHom.{u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (fun (_x : (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) => S₁) _x) (MulHomClass.toFunLike.{max u3 u2, u2, u3} (RingHom.{u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (NonUnitalNonAssocSemiring.toMul.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u3 u2, u2, u3} (RingHom.{u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u3 u2, u2, u3} (RingHom.{u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (algebraMap.{u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3) (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), succ u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) _x) (MulHomClass.toFunLike.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (RingHom.instRingHomClassRingHom.{max u1 u2, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))))) (MvPolynomial.constantCoeff.{u2, u1} R σ _inst_1) p))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.aeval_zero MvPolynomial.aeval_zeroₓ'. -/
 @[simp]
 theorem aeval_zero (p : MvPolynomial σ R) :
@@ -2696,7 +2714,7 @@ theorem aeval_zero' (p : MvPolynomial σ R) :
 lean 3 declaration is
   forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R], Eq.{max (succ (max u2 u1)) (succ u1)} (RingHom.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.eval.{u1, u2} R σ _inst_1 (OfNat.ofNat.{max u2 u1} (σ -> R) 0 (OfNat.mk.{max u2 u1} (σ -> R) 0 (Zero.zero.{max u2 u1} (σ -> R) (Pi.instZero.{u2, u1} σ (fun (ᾰ : σ) => R) (fun (i : σ) => MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))))))) (MvPolynomial.constantCoeff.{u1, u2} R σ _inst_1)
 but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R], Eq.{max (succ u2) (succ u1)} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.eval.{u2, u1} R σ _inst_1 (OfNat.ofNat.{max u2 u1} (σ -> R) 0 (Zero.toOfNat0.{max u2 u1} (σ -> R) (Pi.instZero.{u1, u2} σ (fun (a._@.Mathlib.Data.MvPolynomial.Basic._hyg.20903 : σ) => R) (fun (i : σ) => CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1)))))) (MvPolynomial.constantCoeff.{u2, u1} R σ _inst_1)
+  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R], Eq.{max (succ u2) (succ u1)} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.eval.{u2, u1} R σ _inst_1 (OfNat.ofNat.{max u2 u1} (σ -> R) 0 (Zero.toOfNat0.{max u2 u1} (σ -> R) (Pi.instZero.{u1, u2} σ (fun (a._@.Mathlib.Data.MvPolynomial.Basic._hyg.21109 : σ) => R) (fun (i : σ) => CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1)))))) (MvPolynomial.constantCoeff.{u2, u1} R σ _inst_1)
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval_zero MvPolynomial.eval_zeroₓ'. -/
 @[simp]
 theorem eval_zero : eval (0 : σ → R) = constantCoeff :=
@@ -2878,7 +2896,7 @@ theorem aevalTower_comp_algebraMap :
 lean 3 declaration is
   forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {S : Type.{u3}} {A : Type.{u4}} [_inst_3 : CommSemiring.{u3} S] [_inst_4 : CommSemiring.{u4} A] [_inst_6 : Algebra.{u3, u1} S R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_1)] [_inst_7 : Algebra.{u3, u4} S A _inst_3 (CommSemiring.toSemiring.{u4} A _inst_4)] (g : AlgHom.{u3, u1, u4} S R A _inst_3 (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u4} A _inst_4) _inst_6 _inst_7) (y : σ -> A) (x : R), Eq.{succ u4} A (coeFn.{max (succ (max u2 u1)) (succ u4), max (succ (max u2 u1)) (succ u4)} (AlgHom.{u3, max u2 u1, u4} S (MvPolynomial.{u2, u1} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u4} A _inst_4) (MvPolynomial.algebra.{u3, u1, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) (fun (_x : AlgHom.{u3, max u2 u1, u4} S (MvPolynomial.{u2, u1} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u4} A _inst_4) (MvPolynomial.algebra.{u3, u1, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) => (MvPolynomial.{u2, u1} σ R _inst_1) -> A) ([anonymous].{u3, max u2 u1, u4} S (MvPolynomial.{u2, u1} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u4} A _inst_4) (MvPolynomial.algebra.{u3, u1, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) (MvPolynomial.aevalTower.{u1, u2, u3, u4} R σ _inst_1 S A _inst_3 _inst_4 _inst_6 _inst_7 g y) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (AlgHom.{u3, u1, max u2 u1} S R (MvPolynomial.{u2, u1} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) _inst_6 (MvPolynomial.algebra.{u3, u1, u2} S R σ _inst_3 _inst_1 _inst_6)) (fun (_x : AlgHom.{u3, u1, max u2 u1} S R (MvPolynomial.{u2, u1} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) _inst_6 (MvPolynomial.algebra.{u3, u1, u2} S R σ _inst_3 _inst_1 _inst_6)) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) ([anonymous].{u3, u1, max u2 u1} S R (MvPolynomial.{u2, u1} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) _inst_6 (MvPolynomial.algebra.{u3, u1, u2} S R σ _inst_3 _inst_1 _inst_6)) (IsScalarTower.toAlgHom.{u3, u1, max u2 u1} S R (MvPolynomial.{u2, u1} σ R _inst_1) _inst_3 _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) _inst_6 (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) (MvPolynomial.algebra.{u3, u1, u2} S R σ _inst_3 _inst_1 _inst_6) (MvPolynomial.isScalarTower.{u3, u1, u1, u2} S R R σ _inst_1 (SMulZeroClass.toHasSmul.{u3, u1} S R (AddZeroClass.toHasZero.{u1} R (AddMonoid.toAddZeroClass.{u1} R (AddCommMonoid.toAddMonoid.{u1} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))))) (SMulWithZero.toSmulZeroClass.{u3, u1} S R (MulZeroClass.toHasZero.{u3} S (MulZeroOneClass.toMulZeroClass.{u3} S (MonoidWithZero.toMulZeroOneClass.{u3} S (Semiring.toMonoidWithZero.{u3} S (CommSemiring.toSemiring.{u3} S _inst_3))))) (AddZeroClass.toHasZero.{u1} R (AddMonoid.toAddZeroClass.{u1} R (AddCommMonoid.toAddMonoid.{u1} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))))) (MulActionWithZero.toSMulWithZero.{u3, u1} S R (Semiring.toMonoidWithZero.{u3} S (CommSemiring.toSemiring.{u3} S _inst_3)) (AddZeroClass.toHasZero.{u1} R (AddMonoid.toAddZeroClass.{u1} R (AddCommMonoid.toAddMonoid.{u1} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))))) (Module.toMulActionWithZero.{u3, u1} S R (CommSemiring.toSemiring.{u3} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (Algebra.toModule.{u3, u1} S R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_1) _inst_6))))) (SMulWithZero.toSmulZeroClass.{u3, u1} S R (MulZeroClass.toHasZero.{u3} S (MulZeroOneClass.toMulZeroClass.{u3} S (MonoidWithZero.toMulZeroOneClass.{u3} S (Semiring.toMonoidWithZero.{u3} S (CommSemiring.toSemiring.{u3} S _inst_3))))) (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (MulActionWithZero.toSMulWithZero.{u3, u1} S R (Semiring.toMonoidWithZero.{u3} S (CommSemiring.toSemiring.{u3} S _inst_3)) (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (Module.toMulActionWithZero.{u3, u1} S R (CommSemiring.toSemiring.{u3} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (Algebra.toModule.{u3, u1} S R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_1) _inst_6)))) (SMulWithZero.toSmulZeroClass.{u1, u1} R R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (MulZeroClass.toSMulWithZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))) (IsScalarTower.right.{u3, u1} S R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_1) _inst_6))) x)) (coeFn.{max (succ u1) (succ u4), max (succ u1) (succ u4)} (AlgHom.{u3, u1, u4} S R A _inst_3 (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u4} A _inst_4) _inst_6 _inst_7) (fun (_x : AlgHom.{u3, u1, u4} S R A _inst_3 (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u4} A _inst_4) _inst_6 _inst_7) => R -> A) ([anonymous].{u3, u1, u4} S R A _inst_3 (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u4} A _inst_4) _inst_6 _inst_7) g x)
 but is expected to have type
-  forall {R : Type.{u4}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u4} R] {S : Type.{u1}} {A : Type.{u3}} [_inst_3 : CommSemiring.{u1} S] [_inst_4 : CommSemiring.{u3} A] [_inst_6 : Algebra.{u1, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1)] [_inst_7 : Algebra.{u1, u3} S A _inst_3 (CommSemiring.toSemiring.{u3} A _inst_4)] (g : AlgHom.{u1, u4, u3} S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7) (y : σ -> A) (x : R), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u2, u4} σ R _inst_1) => A) (FunLike.coe.{max (succ u4) (succ u2), succ u4, max (succ u4) (succ u2)} (AlgHom.{u1, u4, max u4 u2} S R (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) _inst_6 (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6)) R (fun (a : R) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : R) => MvPolynomial.{u2, u4} σ R _inst_1) a) (SMulHomClass.toFunLike.{max u4 u2, u1, u4, max u4 u2} (AlgHom.{u1, u4, max u4 u2} S R (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) _inst_6 (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6)) S R (MvPolynomial.{u2, u4} σ R _inst_1) (SMulZeroClass.toSMul.{u1, u4} S R (AddMonoid.toZero.{u4} R (AddCommMonoid.toAddMonoid.{u4} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))))) (DistribSMul.toSMulZeroClass.{u1, u4} S R (AddMonoid.toAddZeroClass.{u4} R (AddCommMonoid.toAddMonoid.{u4} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))))) (DistribMulAction.toDistribSMul.{u1, u4} S R (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (AddCommMonoid.toAddMonoid.{u4} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))))) (Module.toDistribMulAction.{u1, u4} S R (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (Algebra.toModule.{u1, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) _inst_6))))) (SMulZeroClass.toSMul.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (AddMonoid.toZero.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))))) (DistribSMul.toSMulZeroClass.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))))) (DistribMulAction.toDistribSMul.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (AddCommMonoid.toAddMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))))) (Module.toDistribMulAction.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))) (Algebra.toModule.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6)))))) (DistribMulActionHomClass.toSMulHomClass.{max u4 u2, u1, u4, max u4 u2} (AlgHom.{u1, u4, max u4 u2} S R (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) _inst_6 (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6)) S R (MvPolynomial.{u2, u4} σ R _inst_1) (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (AddCommMonoid.toAddMonoid.{u4} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))))) (AddCommMonoid.toAddMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))))) (Module.toDistribMulAction.{u1, u4} S R (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (Algebra.toModule.{u1, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) _inst_6)) (Module.toDistribMulAction.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))) (Algebra.toModule.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6))) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max u4 u2, u1, u4, max u4 u2} (AlgHom.{u1, u4, max u4 u2} S R (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) _inst_6 (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6)) S R (MvPolynomial.{u2, u4} σ R _inst_1) (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))) (Module.toDistribMulAction.{u1, u4} S R (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (Algebra.toModule.{u1, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) _inst_6)) (Module.toDistribMulAction.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))) (Algebra.toModule.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6))) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u1, u4, max u4 u2, max u4 u2} S R (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) _inst_6 (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) (AlgHom.{u1, u4, max u4 u2} S R (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) _inst_6 (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6)) (AlgHom.algHomClass.{u1, u4, max u4 u2} S R (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) _inst_6 (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6)))))) (IsScalarTower.toAlgHom.{u1, u4, max u4 u2} S R (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 _inst_1 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) _inst_6 (MvPolynomial.algebra.{u4, u4, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u4} R _inst_1)) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) (MvPolynomial.isScalarTower.{u1, u4, u4, u2} S R R σ (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (MonoidWithZero.toMonoid.{u4} R (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) _inst_1 (Algebra.toSMul.{u1, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) _inst_6) (Module.toDistribMulAction.{u1, u4} S R (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (Algebra.toModule.{u1, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) _inst_6)) (Module.toDistribMulAction.{u4, u4} R R (CommSemiring.toSemiring.{u4} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (Semiring.toModule.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (IsScalarTower.right.{u1, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) _inst_6))) x)) (FunLike.coe.{max (max (succ u4) (succ u2)) (succ u3), max (succ u4) (succ u2), succ u3} (AlgHom.{u1, max u4 u2, u3} S (MvPolynomial.{u2, u4} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u3} A _inst_4) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) (MvPolynomial.{u2, u4} σ R _inst_1) (fun (_x : MvPolynomial.{u2, u4} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u2, u4} σ R _inst_1) => A) _x) (SMulHomClass.toFunLike.{max (max u4 u2) u3, u1, max u4 u2, u3} (AlgHom.{u1, max u4 u2, u3} S (MvPolynomial.{u2, u4} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u3} A _inst_4) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) S (MvPolynomial.{u2, u4} σ R _inst_1) A (SMulZeroClass.toSMul.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (AddMonoid.toZero.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))))) (DistribSMul.toSMulZeroClass.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))))) (DistribMulAction.toDistribSMul.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (AddCommMonoid.toAddMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))))) (Module.toDistribMulAction.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))) (Algebra.toModule.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6)))))) (SMulZeroClass.toSMul.{u1, u3} S A (AddMonoid.toZero.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))))) (DistribSMul.toSMulZeroClass.{u1, u3} S A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))))) (DistribMulAction.toDistribSMul.{u1, u3} S A (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4))))) (Module.toDistribMulAction.{u1, u3} S A (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))) (Algebra.toModule.{u1, u3} S A _inst_3 (CommSemiring.toSemiring.{u3} A _inst_4) _inst_7))))) (DistribMulActionHomClass.toSMulHomClass.{max (max u4 u2) u3, u1, max u4 u2, u3} (AlgHom.{u1, max u4 u2, u3} S (MvPolynomial.{u2, u4} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u3} A _inst_4) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) S (MvPolynomial.{u2, u4} σ R _inst_1) A (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (AddCommMonoid.toAddMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))))) (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4))))) (Module.toDistribMulAction.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))) (Algebra.toModule.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6))) (Module.toDistribMulAction.{u1, u3} S A (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))) (Algebra.toModule.{u1, u3} S A _inst_3 (CommSemiring.toSemiring.{u3} A _inst_4) _inst_7)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max (max u4 u2) u3, u1, max u4 u2, u3} (AlgHom.{u1, max u4 u2, u3} S (MvPolynomial.{u2, u4} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u3} A _inst_4) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) S (MvPolynomial.{u2, u4} σ R _inst_1) A (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4))) (Module.toDistribMulAction.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))) (Algebra.toModule.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6))) (Module.toDistribMulAction.{u1, u3} S A (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))) (Algebra.toModule.{u1, u3} S A _inst_3 (CommSemiring.toSemiring.{u3} A _inst_4) _inst_7)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u1, max u4 u2, u3, max (max u4 u2) u3} S (MvPolynomial.{u2, u4} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u3} A _inst_4) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7 (AlgHom.{u1, max u4 u2, u3} S (MvPolynomial.{u2, u4} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u3} A _inst_4) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) (AlgHom.algHomClass.{u1, max u4 u2, u3} S (MvPolynomial.{u2, u4} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u3} A _inst_4) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7))))) (MvPolynomial.aevalTower.{u4, u2, u1, u3} R σ _inst_1 S A _inst_3 _inst_4 _inst_6 _inst_7 g y) (FunLike.coe.{max (succ u4) (succ u2), succ u4, max (succ u4) (succ u2)} (AlgHom.{u1, u4, max u4 u2} S R (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) _inst_6 (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : R) => MvPolynomial.{u2, u4} σ R _inst_1) _x) (SMulHomClass.toFunLike.{max u4 u2, u1, u4, max u4 u2} (AlgHom.{u1, u4, max u4 u2} S R (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) _inst_6 (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6)) S R (MvPolynomial.{u2, u4} σ R _inst_1) (SMulZeroClass.toSMul.{u1, u4} S R (AddMonoid.toZero.{u4} R (AddCommMonoid.toAddMonoid.{u4} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))))) (DistribSMul.toSMulZeroClass.{u1, u4} S R (AddMonoid.toAddZeroClass.{u4} R (AddCommMonoid.toAddMonoid.{u4} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))))) (DistribMulAction.toDistribSMul.{u1, u4} S R (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (AddCommMonoid.toAddMonoid.{u4} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))))) (Module.toDistribMulAction.{u1, u4} S R (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (Algebra.toModule.{u1, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) _inst_6))))) (SMulZeroClass.toSMul.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (AddMonoid.toZero.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))))) (DistribSMul.toSMulZeroClass.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))))) (DistribMulAction.toDistribSMul.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (AddCommMonoid.toAddMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))))) (Module.toDistribMulAction.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))) (Algebra.toModule.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6)))))) (DistribMulActionHomClass.toSMulHomClass.{max u4 u2, u1, u4, max u4 u2} (AlgHom.{u1, u4, max u4 u2} S R (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) _inst_6 (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6)) S R (MvPolynomial.{u2, u4} σ R _inst_1) (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (AddCommMonoid.toAddMonoid.{u4} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))))) (AddCommMonoid.toAddMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))))) (Module.toDistribMulAction.{u1, u4} S R (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (Algebra.toModule.{u1, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) _inst_6)) (Module.toDistribMulAction.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))) (Algebra.toModule.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6))) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max u4 u2, u1, u4, max u4 u2} (AlgHom.{u1, u4, max u4 u2} S R (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) _inst_6 (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6)) S R (MvPolynomial.{u2, u4} σ R _inst_1) (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))) (Module.toDistribMulAction.{u1, u4} S R (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (Algebra.toModule.{u1, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) _inst_6)) (Module.toDistribMulAction.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))) (Algebra.toModule.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6))) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u1, u4, max u4 u2, max u4 u2} S R (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) _inst_6 (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) (AlgHom.{u1, u4, max u4 u2} S R (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) _inst_6 (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6)) (AlgHom.algHomClass.{u1, u4, max u4 u2} S R (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) _inst_6 (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6)))))) (IsScalarTower.toAlgHom.{u1, u4, max u4 u2} S R (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 _inst_1 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) _inst_6 (MvPolynomial.algebra.{u4, u4, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u4} R _inst_1)) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) (MvPolynomial.isScalarTower.{u1, u4, u4, u2} S R R σ (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (MonoidWithZero.toMonoid.{u4} R (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) _inst_1 (Algebra.toSMul.{u1, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) _inst_6) (Module.toDistribMulAction.{u1, u4} S R (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (Algebra.toModule.{u1, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) _inst_6)) (Module.toDistribMulAction.{u4, u4} R R (CommSemiring.toSemiring.{u4} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (Semiring.toModule.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (IsScalarTower.right.{u1, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) _inst_6))) x)) (FunLike.coe.{max (succ u4) (succ u3), succ u4, succ u3} (AlgHom.{u1, u4, u3} S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : R) => A) _x) (SMulHomClass.toFunLike.{max u4 u3, u1, u4, u3} (AlgHom.{u1, u4, u3} S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7) S R A (SMulZeroClass.toSMul.{u1, u4} S R (AddMonoid.toZero.{u4} R (AddCommMonoid.toAddMonoid.{u4} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))))) (DistribSMul.toSMulZeroClass.{u1, u4} S R (AddMonoid.toAddZeroClass.{u4} R (AddCommMonoid.toAddMonoid.{u4} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))))) (DistribMulAction.toDistribSMul.{u1, u4} S R (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (AddCommMonoid.toAddMonoid.{u4} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))))) (Module.toDistribMulAction.{u1, u4} S R (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (Algebra.toModule.{u1, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) _inst_6))))) (SMulZeroClass.toSMul.{u1, u3} S A (AddMonoid.toZero.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))))) (DistribSMul.toSMulZeroClass.{u1, u3} S A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))))) (DistribMulAction.toDistribSMul.{u1, u3} S A (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4))))) (Module.toDistribMulAction.{u1, u3} S A (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))) (Algebra.toModule.{u1, u3} S A _inst_3 (CommSemiring.toSemiring.{u3} A _inst_4) _inst_7))))) (DistribMulActionHomClass.toSMulHomClass.{max u4 u3, u1, u4, u3} (AlgHom.{u1, u4, u3} S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7) S R A (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (AddCommMonoid.toAddMonoid.{u4} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))))) (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4))))) (Module.toDistribMulAction.{u1, u4} S R (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (Algebra.toModule.{u1, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) _inst_6)) (Module.toDistribMulAction.{u1, u3} S A (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))) (Algebra.toModule.{u1, u3} S A _inst_3 (CommSemiring.toSemiring.{u3} A _inst_4) _inst_7)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max u4 u3, u1, u4, u3} (AlgHom.{u1, u4, u3} S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7) S R A (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4))) (Module.toDistribMulAction.{u1, u4} S R (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (Algebra.toModule.{u1, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) _inst_6)) (Module.toDistribMulAction.{u1, u3} S A (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))) (Algebra.toModule.{u1, u3} S A _inst_3 (CommSemiring.toSemiring.{u3} A _inst_4) _inst_7)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u1, u4, u3, max u4 u3} S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7 (AlgHom.{u1, u4, u3} S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7) (AlgHom.algHomClass.{u1, u4, u3} S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7))))) g x)
+  forall {R : Type.{u4}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u4} R] {S : Type.{u1}} {A : Type.{u3}} [_inst_3 : CommSemiring.{u1} S] [_inst_4 : CommSemiring.{u3} A] [_inst_6 : Algebra.{u1, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1)] [_inst_7 : Algebra.{u1, u3} S A _inst_3 (CommSemiring.toSemiring.{u3} A _inst_4)] (g : AlgHom.{u1, u4, u3} S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7) (y : σ -> A) (x : R), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u2, u4} σ R _inst_1) => A) (FunLike.coe.{max (succ u4) (succ u2), succ u4, max (succ u4) (succ u2)} (AlgHom.{u1, u4, max u4 u2} S R (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) _inst_6 (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6)) R (fun (a : R) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : R) => MvPolynomial.{u2, u4} σ R _inst_1) a) (SMulHomClass.toFunLike.{max u4 u2, u1, u4, max u4 u2} (AlgHom.{u1, u4, max u4 u2} S R (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) _inst_6 (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6)) S R (MvPolynomial.{u2, u4} σ R _inst_1) (SMulZeroClass.toSMul.{u1, u4} S R (AddMonoid.toZero.{u4} R (AddCommMonoid.toAddMonoid.{u4} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))))) (DistribSMul.toSMulZeroClass.{u1, u4} S R (AddMonoid.toAddZeroClass.{u4} R (AddCommMonoid.toAddMonoid.{u4} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))))) (DistribMulAction.toDistribSMul.{u1, u4} S R (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (AddCommMonoid.toAddMonoid.{u4} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))))) (Module.toDistribMulAction.{u1, u4} S R (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (Algebra.toModule.{u1, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) _inst_6))))) (SMulZeroClass.toSMul.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (AddMonoid.toZero.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))))) (DistribSMul.toSMulZeroClass.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))))) (DistribMulAction.toDistribSMul.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (AddCommMonoid.toAddMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))))) (Module.toDistribMulAction.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))) (Algebra.toModule.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6)))))) (DistribMulActionHomClass.toSMulHomClass.{max u4 u2, u1, u4, max u4 u2} (AlgHom.{u1, u4, max u4 u2} S R (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) _inst_6 (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6)) S R (MvPolynomial.{u2, u4} σ R _inst_1) (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (AddCommMonoid.toAddMonoid.{u4} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))))) (AddCommMonoid.toAddMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))))) (Module.toDistribMulAction.{u1, u4} S R (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (Algebra.toModule.{u1, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) _inst_6)) (Module.toDistribMulAction.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))) (Algebra.toModule.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6))) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max u4 u2, u1, u4, max u4 u2} (AlgHom.{u1, u4, max u4 u2} S R (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) _inst_6 (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6)) S R (MvPolynomial.{u2, u4} σ R _inst_1) (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))) (Module.toDistribMulAction.{u1, u4} S R (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (Algebra.toModule.{u1, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) _inst_6)) (Module.toDistribMulAction.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))) (Algebra.toModule.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6))) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u1, u4, max u4 u2, max u4 u2} S R (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) _inst_6 (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) (AlgHom.{u1, u4, max u4 u2} S R (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) _inst_6 (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6)) (AlgHom.algHomClass.{u1, u4, max u4 u2} S R (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) _inst_6 (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6)))))) (IsScalarTower.toAlgHom.{u1, u4, max u4 u2} S R (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 _inst_1 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) _inst_6 (MvPolynomial.algebra.{u4, u4, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u4} R _inst_1)) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) (MvPolynomial.isScalarTower.{u1, u4, u4, u2} S R R σ _inst_1 (Algebra.toSMul.{u1, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) _inst_6) (SMulWithZero.toSMulZeroClass.{u1, u4} S R (CommMonoidWithZero.toZero.{u1} S (CommSemiring.toCommMonoidWithZero.{u1} S _inst_3)) (MonoidWithZero.toZero.{u4} R (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (MulActionWithZero.toSMulWithZero.{u1, u4} S R (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3)) (MonoidWithZero.toZero.{u4} R (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (Module.toMulActionWithZero.{u1, u4} S R (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (Algebra.toModule.{u1, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) _inst_6)))) (SMulWithZero.toSMulZeroClass.{u4, u4} R R (CommMonoidWithZero.toZero.{u4} R (CommSemiring.toCommMonoidWithZero.{u4} R _inst_1)) (MonoidWithZero.toZero.{u4} R (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (MulActionWithZero.toSMulWithZero.{u4, u4} R R (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (MonoidWithZero.toZero.{u4} R (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (Module.toMulActionWithZero.{u4, u4} R R (CommSemiring.toSemiring.{u4} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (Algebra.toModule.{u4, u4} R R _inst_1 (CommSemiring.toSemiring.{u4} R _inst_1) (Algebra.id.{u4} R _inst_1))))) (IsScalarTower.right.{u1, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) _inst_6))) x)) (FunLike.coe.{max (max (succ u4) (succ u2)) (succ u3), max (succ u4) (succ u2), succ u3} (AlgHom.{u1, max u4 u2, u3} S (MvPolynomial.{u2, u4} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u3} A _inst_4) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) (MvPolynomial.{u2, u4} σ R _inst_1) (fun (_x : MvPolynomial.{u2, u4} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u2, u4} σ R _inst_1) => A) _x) (SMulHomClass.toFunLike.{max (max u4 u2) u3, u1, max u4 u2, u3} (AlgHom.{u1, max u4 u2, u3} S (MvPolynomial.{u2, u4} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u3} A _inst_4) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) S (MvPolynomial.{u2, u4} σ R _inst_1) A (SMulZeroClass.toSMul.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (AddMonoid.toZero.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))))) (DistribSMul.toSMulZeroClass.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))))) (DistribMulAction.toDistribSMul.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (AddCommMonoid.toAddMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))))) (Module.toDistribMulAction.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))) (Algebra.toModule.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6)))))) (SMulZeroClass.toSMul.{u1, u3} S A (AddMonoid.toZero.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))))) (DistribSMul.toSMulZeroClass.{u1, u3} S A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))))) (DistribMulAction.toDistribSMul.{u1, u3} S A (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4))))) (Module.toDistribMulAction.{u1, u3} S A (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))) (Algebra.toModule.{u1, u3} S A _inst_3 (CommSemiring.toSemiring.{u3} A _inst_4) _inst_7))))) (DistribMulActionHomClass.toSMulHomClass.{max (max u4 u2) u3, u1, max u4 u2, u3} (AlgHom.{u1, max u4 u2, u3} S (MvPolynomial.{u2, u4} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u3} A _inst_4) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) S (MvPolynomial.{u2, u4} σ R _inst_1) A (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (AddCommMonoid.toAddMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))))) (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4))))) (Module.toDistribMulAction.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))) (Algebra.toModule.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6))) (Module.toDistribMulAction.{u1, u3} S A (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))) (Algebra.toModule.{u1, u3} S A _inst_3 (CommSemiring.toSemiring.{u3} A _inst_4) _inst_7)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max (max u4 u2) u3, u1, max u4 u2, u3} (AlgHom.{u1, max u4 u2, u3} S (MvPolynomial.{u2, u4} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u3} A _inst_4) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) S (MvPolynomial.{u2, u4} σ R _inst_1) A (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4))) (Module.toDistribMulAction.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))) (Algebra.toModule.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6))) (Module.toDistribMulAction.{u1, u3} S A (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))) (Algebra.toModule.{u1, u3} S A _inst_3 (CommSemiring.toSemiring.{u3} A _inst_4) _inst_7)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u1, max u4 u2, u3, max (max u4 u2) u3} S (MvPolynomial.{u2, u4} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u3} A _inst_4) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7 (AlgHom.{u1, max u4 u2, u3} S (MvPolynomial.{u2, u4} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u3} A _inst_4) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) (AlgHom.algHomClass.{u1, max u4 u2, u3} S (MvPolynomial.{u2, u4} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u3} A _inst_4) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7))))) (MvPolynomial.aevalTower.{u4, u2, u1, u3} R σ _inst_1 S A _inst_3 _inst_4 _inst_6 _inst_7 g y) (FunLike.coe.{max (succ u4) (succ u2), succ u4, max (succ u4) (succ u2)} (AlgHom.{u1, u4, max u4 u2} S R (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) _inst_6 (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : R) => MvPolynomial.{u2, u4} σ R _inst_1) _x) (SMulHomClass.toFunLike.{max u4 u2, u1, u4, max u4 u2} (AlgHom.{u1, u4, max u4 u2} S R (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) _inst_6 (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6)) S R (MvPolynomial.{u2, u4} σ R _inst_1) (SMulZeroClass.toSMul.{u1, u4} S R (AddMonoid.toZero.{u4} R (AddCommMonoid.toAddMonoid.{u4} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))))) (DistribSMul.toSMulZeroClass.{u1, u4} S R (AddMonoid.toAddZeroClass.{u4} R (AddCommMonoid.toAddMonoid.{u4} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))))) (DistribMulAction.toDistribSMul.{u1, u4} S R (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (AddCommMonoid.toAddMonoid.{u4} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))))) (Module.toDistribMulAction.{u1, u4} S R (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (Algebra.toModule.{u1, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) _inst_6))))) (SMulZeroClass.toSMul.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (AddMonoid.toZero.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))))) (DistribSMul.toSMulZeroClass.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))))) (DistribMulAction.toDistribSMul.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (AddCommMonoid.toAddMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))))) (Module.toDistribMulAction.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))) (Algebra.toModule.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6)))))) (DistribMulActionHomClass.toSMulHomClass.{max u4 u2, u1, u4, max u4 u2} (AlgHom.{u1, u4, max u4 u2} S R (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) _inst_6 (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6)) S R (MvPolynomial.{u2, u4} σ R _inst_1) (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (AddCommMonoid.toAddMonoid.{u4} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))))) (AddCommMonoid.toAddMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))))) (Module.toDistribMulAction.{u1, u4} S R (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (Algebra.toModule.{u1, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) _inst_6)) (Module.toDistribMulAction.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))) (Algebra.toModule.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6))) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max u4 u2, u1, u4, max u4 u2} (AlgHom.{u1, u4, max u4 u2} S R (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) _inst_6 (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6)) S R (MvPolynomial.{u2, u4} σ R _inst_1) (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))) (Module.toDistribMulAction.{u1, u4} S R (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (Algebra.toModule.{u1, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) _inst_6)) (Module.toDistribMulAction.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))) (Algebra.toModule.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6))) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u1, u4, max u4 u2, max u4 u2} S R (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) _inst_6 (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) (AlgHom.{u1, u4, max u4 u2} S R (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) _inst_6 (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6)) (AlgHom.algHomClass.{u1, u4, max u4 u2} S R (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) _inst_6 (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6)))))) (IsScalarTower.toAlgHom.{u1, u4, max u4 u2} S R (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 _inst_1 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) _inst_6 (MvPolynomial.algebra.{u4, u4, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u4} R _inst_1)) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) (MvPolynomial.isScalarTower.{u1, u4, u4, u2} S R R σ _inst_1 (Algebra.toSMul.{u1, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) _inst_6) (SMulWithZero.toSMulZeroClass.{u1, u4} S R (CommMonoidWithZero.toZero.{u1} S (CommSemiring.toCommMonoidWithZero.{u1} S _inst_3)) (MonoidWithZero.toZero.{u4} R (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (MulActionWithZero.toSMulWithZero.{u1, u4} S R (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3)) (MonoidWithZero.toZero.{u4} R (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (Module.toMulActionWithZero.{u1, u4} S R (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (Algebra.toModule.{u1, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) _inst_6)))) (SMulWithZero.toSMulZeroClass.{u4, u4} R R (CommMonoidWithZero.toZero.{u4} R (CommSemiring.toCommMonoidWithZero.{u4} R _inst_1)) (MonoidWithZero.toZero.{u4} R (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (MulActionWithZero.toSMulWithZero.{u4, u4} R R (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (MonoidWithZero.toZero.{u4} R (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (Module.toMulActionWithZero.{u4, u4} R R (CommSemiring.toSemiring.{u4} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (Algebra.toModule.{u4, u4} R R _inst_1 (CommSemiring.toSemiring.{u4} R _inst_1) (Algebra.id.{u4} R _inst_1))))) (IsScalarTower.right.{u1, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) _inst_6))) x)) (FunLike.coe.{max (succ u4) (succ u3), succ u4, succ u3} (AlgHom.{u1, u4, u3} S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : R) => A) _x) (SMulHomClass.toFunLike.{max u4 u3, u1, u4, u3} (AlgHom.{u1, u4, u3} S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7) S R A (SMulZeroClass.toSMul.{u1, u4} S R (AddMonoid.toZero.{u4} R (AddCommMonoid.toAddMonoid.{u4} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))))) (DistribSMul.toSMulZeroClass.{u1, u4} S R (AddMonoid.toAddZeroClass.{u4} R (AddCommMonoid.toAddMonoid.{u4} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))))) (DistribMulAction.toDistribSMul.{u1, u4} S R (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (AddCommMonoid.toAddMonoid.{u4} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))))) (Module.toDistribMulAction.{u1, u4} S R (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (Algebra.toModule.{u1, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) _inst_6))))) (SMulZeroClass.toSMul.{u1, u3} S A (AddMonoid.toZero.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))))) (DistribSMul.toSMulZeroClass.{u1, u3} S A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))))) (DistribMulAction.toDistribSMul.{u1, u3} S A (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4))))) (Module.toDistribMulAction.{u1, u3} S A (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))) (Algebra.toModule.{u1, u3} S A _inst_3 (CommSemiring.toSemiring.{u3} A _inst_4) _inst_7))))) (DistribMulActionHomClass.toSMulHomClass.{max u4 u3, u1, u4, u3} (AlgHom.{u1, u4, u3} S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7) S R A (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (AddCommMonoid.toAddMonoid.{u4} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))))) (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4))))) (Module.toDistribMulAction.{u1, u4} S R (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (Algebra.toModule.{u1, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) _inst_6)) (Module.toDistribMulAction.{u1, u3} S A (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))) (Algebra.toModule.{u1, u3} S A _inst_3 (CommSemiring.toSemiring.{u3} A _inst_4) _inst_7)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max u4 u3, u1, u4, u3} (AlgHom.{u1, u4, u3} S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7) S R A (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4))) (Module.toDistribMulAction.{u1, u4} S R (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (Algebra.toModule.{u1, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) _inst_6)) (Module.toDistribMulAction.{u1, u3} S A (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))) (Algebra.toModule.{u1, u3} S A _inst_3 (CommSemiring.toSemiring.{u3} A _inst_4) _inst_7)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u1, u4, u3, max u4 u3} S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7 (AlgHom.{u1, u4, u3} S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7) (AlgHom.algHomClass.{u1, u4, u3} S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7))))) g x)
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.aeval_tower_to_alg_hom MvPolynomial.aevalTower_toAlgHomₓ'. -/
 theorem aevalTower_toAlgHom (x : R) :
     aevalTower g y (IsScalarTower.toAlgHom S R (MvPolynomial σ R) x) = g x :=
@@ -2889,7 +2907,7 @@ theorem aevalTower_toAlgHom (x : R) :
 lean 3 declaration is
   forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {S : Type.{u3}} {A : Type.{u4}} [_inst_3 : CommSemiring.{u3} S] [_inst_4 : CommSemiring.{u4} A] [_inst_6 : Algebra.{u3, u1} S R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_1)] [_inst_7 : Algebra.{u3, u4} S A _inst_3 (CommSemiring.toSemiring.{u4} A _inst_4)] (g : AlgHom.{u3, u1, u4} S R A _inst_3 (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u4} A _inst_4) _inst_6 _inst_7) (y : σ -> A), Eq.{max (succ u1) (succ u4)} (AlgHom.{u3, u1, u4} S R A _inst_3 (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u4} A _inst_4) _inst_6 _inst_7) (AlgHom.comp.{u3, u1, max u2 u1, u4} S R (MvPolynomial.{u2, u1} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u4} A _inst_4) _inst_6 (MvPolynomial.algebra.{u3, u1, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7 (MvPolynomial.aevalTower.{u1, u2, u3, u4} R σ _inst_1 S A _inst_3 _inst_4 _inst_6 _inst_7 g y) (IsScalarTower.toAlgHom.{u3, u1, max u2 u1} S R (MvPolynomial.{u2, u1} σ R _inst_1) _inst_3 _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) _inst_6 (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) (MvPolynomial.algebra.{u3, u1, u2} S R σ _inst_3 _inst_1 _inst_6) (MvPolynomial.isScalarTower.{u3, u1, u1, u2} S R R σ _inst_1 (SMulZeroClass.toHasSmul.{u3, u1} S R (AddZeroClass.toHasZero.{u1} R (AddMonoid.toAddZeroClass.{u1} R (AddCommMonoid.toAddMonoid.{u1} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))))) (SMulWithZero.toSmulZeroClass.{u3, u1} S R (MulZeroClass.toHasZero.{u3} S (MulZeroOneClass.toMulZeroClass.{u3} S (MonoidWithZero.toMulZeroOneClass.{u3} S (Semiring.toMonoidWithZero.{u3} S (CommSemiring.toSemiring.{u3} S _inst_3))))) (AddZeroClass.toHasZero.{u1} R (AddMonoid.toAddZeroClass.{u1} R (AddCommMonoid.toAddMonoid.{u1} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))))) (MulActionWithZero.toSMulWithZero.{u3, u1} S R (Semiring.toMonoidWithZero.{u3} S (CommSemiring.toSemiring.{u3} S _inst_3)) (AddZeroClass.toHasZero.{u1} R (AddMonoid.toAddZeroClass.{u1} R (AddCommMonoid.toAddMonoid.{u1} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))))) (Module.toMulActionWithZero.{u3, u1} S R (CommSemiring.toSemiring.{u3} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (Algebra.toModule.{u3, u1} S R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_1) _inst_6))))) (SMulWithZero.toSmulZeroClass.{u3, u1} S R (MulZeroClass.toHasZero.{u3} S (MulZeroOneClass.toMulZeroClass.{u3} S (MonoidWithZero.toMulZeroOneClass.{u3} S (Semiring.toMonoidWithZero.{u3} S (CommSemiring.toSemiring.{u3} S _inst_3))))) (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (MulActionWithZero.toSMulWithZero.{u3, u1} S R (Semiring.toMonoidWithZero.{u3} S (CommSemiring.toSemiring.{u3} S _inst_3)) (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (Module.toMulActionWithZero.{u3, u1} S R (CommSemiring.toSemiring.{u3} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (Algebra.toModule.{u3, u1} S R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_1) _inst_6)))) (SMulWithZero.toSmulZeroClass.{u1, u1} R R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (MulZeroClass.toSMulWithZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))) (IsScalarTower.right.{u3, u1} S R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_1) _inst_6)))) g
 but is expected to have type
-  forall {R : Type.{u4}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u4} R] {S : Type.{u2}} {A : Type.{u3}} [_inst_3 : CommSemiring.{u2} S] [_inst_4 : CommSemiring.{u3} A] [_inst_6 : Algebra.{u2, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1)] [_inst_7 : Algebra.{u2, u3} S A _inst_3 (CommSemiring.toSemiring.{u3} A _inst_4)] (g : AlgHom.{u2, u4, u3} S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7) (y : σ -> A), Eq.{max (succ u4) (succ u3)} (AlgHom.{u2, u4, u3} S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7) (AlgHom.comp.{u2, u4, max u4 u1, u3} S R (MvPolynomial.{u1, u4} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 (MvPolynomial.algebra.{u2, u4, u1} S R σ _inst_3 _inst_1 _inst_6) _inst_7 (MvPolynomial.aevalTower.{u4, u1, u2, u3} R σ _inst_1 S A _inst_3 _inst_4 _inst_6 _inst_7 g y) (IsScalarTower.toAlgHom.{u2, u4, max u4 u1} S R (MvPolynomial.{u1, u4} σ R _inst_1) _inst_3 _inst_1 (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u1} R σ _inst_1)) _inst_6 (MvPolynomial.algebra.{u4, u4, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u4} R _inst_1)) (MvPolynomial.algebra.{u2, u4, u1} S R σ _inst_3 _inst_1 _inst_6) (MvPolynomial.isScalarTower.{u2, u4, u4, u1} S R R σ (MonoidWithZero.toMonoid.{u2} S (Semiring.toMonoidWithZero.{u2} S (CommSemiring.toSemiring.{u2} S _inst_3))) (MonoidWithZero.toMonoid.{u4} R (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) _inst_1 (Algebra.toSMul.{u2, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) _inst_6) (Module.toDistribMulAction.{u2, u4} S R (CommSemiring.toSemiring.{u2} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (Algebra.toModule.{u2, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) _inst_6)) (Module.toDistribMulAction.{u4, u4} R R (CommSemiring.toSemiring.{u4} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (Semiring.toModule.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (IsScalarTower.right.{u2, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) _inst_6)))) g
+  forall {R : Type.{u4}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u4} R] {S : Type.{u2}} {A : Type.{u3}} [_inst_3 : CommSemiring.{u2} S] [_inst_4 : CommSemiring.{u3} A] [_inst_6 : Algebra.{u2, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1)] [_inst_7 : Algebra.{u2, u3} S A _inst_3 (CommSemiring.toSemiring.{u3} A _inst_4)] (g : AlgHom.{u2, u4, u3} S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7) (y : σ -> A), Eq.{max (succ u4) (succ u3)} (AlgHom.{u2, u4, u3} S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7) (AlgHom.comp.{u2, u4, max u4 u1, u3} S R (MvPolynomial.{u1, u4} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 (MvPolynomial.algebra.{u2, u4, u1} S R σ _inst_3 _inst_1 _inst_6) _inst_7 (MvPolynomial.aevalTower.{u4, u1, u2, u3} R σ _inst_1 S A _inst_3 _inst_4 _inst_6 _inst_7 g y) (IsScalarTower.toAlgHom.{u2, u4, max u4 u1} S R (MvPolynomial.{u1, u4} σ R _inst_1) _inst_3 _inst_1 (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u1} R σ _inst_1)) _inst_6 (MvPolynomial.algebra.{u4, u4, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u4} R _inst_1)) (MvPolynomial.algebra.{u2, u4, u1} S R σ _inst_3 _inst_1 _inst_6) (MvPolynomial.isScalarTower.{u2, u4, u4, u1} S R R σ _inst_1 (Algebra.toSMul.{u2, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) _inst_6) (SMulWithZero.toSMulZeroClass.{u2, u4} S R (CommMonoidWithZero.toZero.{u2} S (CommSemiring.toCommMonoidWithZero.{u2} S _inst_3)) (MonoidWithZero.toZero.{u4} R (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (MulActionWithZero.toSMulWithZero.{u2, u4} S R (Semiring.toMonoidWithZero.{u2} S (CommSemiring.toSemiring.{u2} S _inst_3)) (MonoidWithZero.toZero.{u4} R (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (Module.toMulActionWithZero.{u2, u4} S R (CommSemiring.toSemiring.{u2} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (Algebra.toModule.{u2, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) _inst_6)))) (SMulWithZero.toSMulZeroClass.{u4, u4} R R (CommMonoidWithZero.toZero.{u4} R (CommSemiring.toCommMonoidWithZero.{u4} R _inst_1)) (MonoidWithZero.toZero.{u4} R (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (MulActionWithZero.toSMulWithZero.{u4, u4} R R (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (MonoidWithZero.toZero.{u4} R (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (Module.toMulActionWithZero.{u4, u4} R R (CommSemiring.toSemiring.{u4} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (Algebra.toModule.{u4, u4} R R _inst_1 (CommSemiring.toSemiring.{u4} R _inst_1) (Algebra.id.{u4} R _inst_1))))) (IsScalarTower.right.{u2, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) _inst_6)))) g
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.aeval_tower_comp_to_alg_hom MvPolynomial.aevalTower_comp_toAlgHomₓ'. -/
 @[simp]
 theorem aevalTower_comp_toAlgHom :

mathlib commit https://github.com/leanprover-community/mathlib/commit/738054fa93d43512da144ec45ce799d18fd44248

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Johannes Hölzl, Johan Commelin, Mario Carneiro
 
 ! This file was ported from Lean 3 source module data.mv_polynomial.basic
-! leanprover-community/mathlib commit f69db8cecc668e2d5894d7e9bfc491da60db3b9f
+! leanprover-community/mathlib commit 4e529b03dd62b7b7d13806c3fb974d9d4848910e
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -2926,6 +2926,43 @@ theorem aevalTower_ofId :
 
 end AevalTower
 
+section EvalMem
+
+variable {S subS : Type _} [CommSemiring S] [SetLike subS S] [SubsemiringClass subS S]
+
+theorem eval₂_mem {f : R →+* S} {p : MvPolynomial σ R} {s : subS}
+    (hs : ∀ i ∈ p.support, f (p.coeff i) ∈ s) {v : σ → S} (hv : ∀ i, v i ∈ s) :
+    MvPolynomial.eval₂ f v p ∈ s := by
+  classical
+    replace hs : ∀ i, f (p.coeff i) ∈ s
+    · intro i
+      by_cases hi : i ∈ p.support
+      · exact hs i hi
+      · rw [MvPolynomial.not_mem_support_iff.1 hi, f.map_zero]
+        exact zero_mem s
+    induction' p using MvPolynomial.induction_on''' with a a b f ha hb0 ih generalizing hs
+    · simpa using hs 0
+    rw [eval₂_add, eval₂_monomial]
+    refine' add_mem (mul_mem _ <| prod_mem fun i hi => pow_mem (hv _) _) (ih fun i => _)
+    ·
+      simpa only [coeff_add, coeff_monomial, if_pos rfl, MvPolynomial.not_mem_support_iff.1 ha,
+        add_zero] using hs a
+    have := hs i
+    rw [coeff_add, coeff_monomial] at this
+    split_ifs  at this with h h
+    · subst h
+      rw [MvPolynomial.not_mem_support_iff.1 ha, map_zero]
+      exact zero_mem _
+    · rwa [zero_add] at this
+#align mv_polynomial.eval₂_mem MvPolynomial.eval₂_mem
+
+theorem eval_mem {p : MvPolynomial σ S} {s : subS} (hs : ∀ i ∈ p.support, p.coeff i ∈ s) {v : σ → S}
+    (hv : ∀ i, v i ∈ s) : MvPolynomial.eval v p ∈ s :=
+  eval₂_mem hs hv
+#align mv_polynomial.eval_mem MvPolynomial.eval_mem
+
+end EvalMem
+
 end CommSemiring
 
 end MvPolynomial

mathlib commit https://github.com/leanprover-community/mathlib/commit/92c69b77c5a7dc0f7eeddb552508633305157caa

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Johannes Hölzl, Johan Commelin, Mario Carneiro
 
 ! This file was ported from Lean 3 source module data.mv_polynomial.basic
-! leanprover-community/mathlib commit 0b89934139d3be96f9dab477f10c20f9f93da580
+! leanprover-community/mathlib commit f69db8cecc668e2d5894d7e9bfc491da60db3b9f
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -120,23 +120,26 @@ instance [Monoid R] [CommSemiring S₁] [DistribMulAction R S₁] :
     DistribMulAction R (MvPolynomial σ S₁) :=
   AddMonoidAlgebra.distribMulAction
 
-instance [Monoid R] [CommSemiring S₁] [DistribMulAction R S₁] [FaithfulSMul R S₁] :
+instance [CommSemiring S₁] [SMulZeroClass R S₁] : SMulZeroClass R (MvPolynomial σ S₁) :=
+  AddMonoidAlgebra.smulZeroClass
+
+instance [CommSemiring S₁] [SMulZeroClass R S₁] [FaithfulSMul R S₁] :
     FaithfulSMul R (MvPolynomial σ S₁) :=
   AddMonoidAlgebra.faithfulSMul
 
 instance [Semiring R] [CommSemiring S₁] [Module R S₁] : Module R (MvPolynomial σ S₁) :=
   AddMonoidAlgebra.module
 
-instance [Monoid R] [Monoid S₁] [CommSemiring S₂] [SMul R S₁] [DistribMulAction R S₂]
-    [DistribMulAction S₁ S₂] [IsScalarTower R S₁ S₂] : IsScalarTower R S₁ (MvPolynomial σ S₂) :=
+instance [CommSemiring S₂] [SMul R S₁] [SMulZeroClass R S₂] [SMulZeroClass S₁ S₂]
+    [IsScalarTower R S₁ S₂] : IsScalarTower R S₁ (MvPolynomial σ S₂) :=
   AddMonoidAlgebra.isScalarTower
 
-instance [Monoid R] [Monoid S₁] [CommSemiring S₂] [DistribMulAction R S₂] [DistribMulAction S₁ S₂]
-    [SMulCommClass R S₁ S₂] : SMulCommClass R S₁ (MvPolynomial σ S₂) :=
+instance [CommSemiring S₂] [SMulZeroClass R S₂] [SMulZeroClass S₁ S₂] [SMulCommClass R S₁ S₂] :
+    SMulCommClass R S₁ (MvPolynomial σ S₂) :=
   AddMonoidAlgebra.sMulCommClass
 
-instance [Monoid R] [CommSemiring S₁] [DistribMulAction R S₁] [DistribMulAction Rᵐᵒᵖ S₁]
-    [IsCentralScalar R S₁] : IsCentralScalar R (MvPolynomial σ S₁) :=
+instance [CommSemiring S₁] [SMulZeroClass R S₁] [SMulZeroClass Rᵐᵒᵖ S₁] [IsCentralScalar R S₁] :
+    IsCentralScalar R (MvPolynomial σ S₁) :=
   AddMonoidAlgebra.isCentralScalar
 
 instance [CommSemiring R] [CommSemiring S₁] [Algebra R S₁] : Algebra R (MvPolynomial σ S₁) :=
@@ -144,7 +147,7 @@ instance [CommSemiring R] [CommSemiring S₁] [Algebra R S₁] : Algebra R (MvPo
 
 /- warning: mv_polynomial.is_scalar_tower' -> MvPolynomial.isScalarTower' is a dubious translation:
 lean 3 declaration is
-  forall {R : Type.{u1}} {S₁ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] [_inst_3 : Algebra.{u1, u2} R S₁ _inst_1 (CommSemiring.toSemiring.{u2} S₁ _inst_2)], IsScalarTower.{u1, max u3 u2, max u3 u2} R (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.{u3, u2} σ S₁ _inst_2) (SMulZeroClass.toHasSmul.{u1, max u3 u2} R (MvPolynomial.{u3, u2} σ S₁ _inst_2) (AddZeroClass.toHasZero.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (AddMonoid.toAddZeroClass.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (AddCommMonoid.toAddMonoid.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))))))) (SMulWithZero.toSmulZeroClass.{u1, max u3 u2} R (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (AddMonoid.toAddZeroClass.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (AddCommMonoid.toAddMonoid.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))))))) (MulActionWithZero.toSMulWithZero.{u1, max u3 u2} R (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (AddMonoid.toAddZeroClass.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (AddCommMonoid.toAddMonoid.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))))))) (Module.toMulActionWithZero.{u1, max u3 u2} R (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2))))) (MvPolynomial.module.{u1, u2, u3} R S₁ σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 (Algebra.toModule.{u1, u2} R S₁ _inst_1 (CommSemiring.toSemiring.{u2} S₁ _inst_2) _inst_3)))))) (Mul.toSMul.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Distrib.toHasMul.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (NonUnitalNonAssocSemiring.toDistrib.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2))))))) (SMulZeroClass.toHasSmul.{u1, max u3 u2} R (MvPolynomial.{u3, u2} σ S₁ _inst_2) (AddZeroClass.toHasZero.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (AddMonoid.toAddZeroClass.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (AddCommMonoid.toAddMonoid.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))))))) (SMulWithZero.toSmulZeroClass.{u1, max u3 u2} R (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (AddMonoid.toAddZeroClass.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (AddCommMonoid.toAddMonoid.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))))))) (MulActionWithZero.toSMulWithZero.{u1, max u3 u2} R (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (AddMonoid.toAddZeroClass.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (AddCommMonoid.toAddMonoid.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))))))) (Module.toMulActionWithZero.{u1, max u3 u2} R (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2))))) (MvPolynomial.module.{u1, u2, u3} R S₁ σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 (Algebra.toModule.{u1, u2} R S₁ _inst_1 (CommSemiring.toSemiring.{u2} S₁ _inst_2) _inst_3))))))
+  forall {R : Type.{u1}} {S₁ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] [_inst_3 : Algebra.{u1, u2} R S₁ _inst_1 (CommSemiring.toSemiring.{u2} S₁ _inst_2)], IsScalarTower.{u1, max u3 u2, max u3 u2} R (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.{u3, u2} σ S₁ _inst_2) (SMulZeroClass.toHasSmul.{u1, max u3 u2} R (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MulZeroClass.toHasZero.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (NonUnitalNonAssocSemiring.toMulZeroClass.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))))) (MvPolynomial.smulZeroClass.{u1, u2, u3} R S₁ σ _inst_2 (SMulWithZero.toSmulZeroClass.{u1, u2} R S₁ (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (MulZeroClass.toHasZero.{u2} S₁ (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S₁ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R S₁ (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toHasZero.{u2} S₁ (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S₁ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))))) (Module.toMulActionWithZero.{u1, u2} R S₁ (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S₁ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)))) (Algebra.toModule.{u1, u2} R S₁ _inst_1 (CommSemiring.toSemiring.{u2} S₁ _inst_2) _inst_3)))))) (Mul.toSMul.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Distrib.toHasMul.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (NonUnitalNonAssocSemiring.toDistrib.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2))))))) (SMulZeroClass.toHasSmul.{u1, max u3 u2} R (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MulZeroClass.toHasZero.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (NonUnitalNonAssocSemiring.toMulZeroClass.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))))) (MvPolynomial.smulZeroClass.{u1, u2, u3} R S₁ σ _inst_2 (SMulWithZero.toSmulZeroClass.{u1, u2} R S₁ (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (MulZeroClass.toHasZero.{u2} S₁ (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S₁ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R S₁ (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toHasZero.{u2} S₁ (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S₁ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))))) (Module.toMulActionWithZero.{u1, u2} R S₁ (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S₁ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)))) (Algebra.toModule.{u1, u2} R S₁ _inst_1 (CommSemiring.toSemiring.{u2} S₁ _inst_2) _inst_3))))))
 but is expected to have type
   forall {R : Type.{u1}} {S₁ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] [_inst_3 : Algebra.{u1, u2} R S₁ _inst_1 (CommSemiring.toSemiring.{u2} S₁ _inst_2)], IsScalarTower.{u1, max u2 u3, max u2 u3} R (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Algebra.toSMul.{u1, max u2 u3} R (MvPolynomial.{u3, u2} σ S₁ _inst_2) _inst_1 (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)) (MvPolynomial.algebra.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 _inst_3)) (Algebra.toSMul.{max u2 u3, max u2 u3} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)) (Algebra.id.{max u2 u3} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2))) (Algebra.toSMul.{u1, max u2 u3} R (MvPolynomial.{u3, u2} σ S₁ _inst_2) _inst_1 (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)) (MvPolynomial.algebra.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 _inst_3))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.is_scalar_tower' MvPolynomial.isScalarTower'ₓ'. -/
@@ -380,7 +383,7 @@ theorem C_eq_coe_nat (n : ℕ) : (C ↑n : MvPolynomial σ R) = n := by
 
 /- warning: mv_polynomial.C_mul' -> MvPolynomial.C_mul' is a dubious translation:
 lean 3 declaration is
-  forall {R : Type.{u1}} {σ : Type.{u2}} {a : R} [_inst_1 : CommSemiring.{u1} R] {p : MvPolynomial.{u2, u1} σ R _inst_1}, Eq.{succ (max u2 u1)} (MvPolynomial.{u2, u1} σ R _inst_1) (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Distrib.toHasMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (fun (_x : RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (MvPolynomial.C.{u1, u2} R σ _inst_1) a) p) (SMul.smul.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (SMulZeroClass.toHasSmul.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (AddZeroClass.toHasZero.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))))))) (SMulWithZero.toSmulZeroClass.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))))))) (MulActionWithZero.toSMulWithZero.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))))))) (Module.toMulActionWithZero.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))))) a p)
+  forall {R : Type.{u1}} {σ : Type.{u2}} {a : R} [_inst_1 : CommSemiring.{u1} R] {p : MvPolynomial.{u2, u1} σ R _inst_1}, Eq.{succ (max u2 u1)} (MvPolynomial.{u2, u1} σ R _inst_1) (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Distrib.toHasMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (fun (_x : RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (MvPolynomial.C.{u1, u2} R σ _inst_1) a) p) (SMul.smul.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (SMulZeroClass.toHasSmul.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (MulZeroClass.toHasZero.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toMulZeroClass.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))))) (MvPolynomial.smulZeroClass.{u1, u1, u2} R R σ _inst_1 (SMulWithZero.toSmulZeroClass.{u1, u1} R R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (MulZeroClass.toSMulWithZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))))) a p)
 but is expected to have type
   forall {R : Type.{u2}} {σ : Type.{u1}} {a : R} [_inst_1 : CommSemiring.{u2} R] {p : MvPolynomial.{u1, u2} σ R _inst_1}, Eq.{max (succ u2) (succ u1)} (MvPolynomial.{u1, u2} σ R _inst_1) (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (instHMul.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (Semiring.toNonAssocSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (CommSemiring.toSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) a) p) (HSMul.hSMul.{u2, max u2 u1, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (instHSMul.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Algebra.toSMul.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) a p)
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.C_mul' MvPolynomial.C_mul'ₓ'. -/
@@ -390,7 +393,7 @@ theorem C_mul' : MvPolynomial.C a * p = a • p :=
 
 /- warning: mv_polynomial.smul_eq_C_mul -> MvPolynomial.smul_eq_C_mul is a dubious translation:
 lean 3 declaration is
-  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] (p : MvPolynomial.{u2, u1} σ R _inst_1) (a : R), Eq.{succ (max u2 u1)} (MvPolynomial.{u2, u1} σ R _inst_1) (SMul.smul.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (SMulZeroClass.toHasSmul.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (AddZeroClass.toHasZero.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))))))) (SMulWithZero.toSmulZeroClass.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))))))) (MulActionWithZero.toSMulWithZero.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))))))) (Module.toMulActionWithZero.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))))) a p) (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Distrib.toHasMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (fun (_x : RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (MvPolynomial.C.{u1, u2} R σ _inst_1) a) p)
+  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] (p : MvPolynomial.{u2, u1} σ R _inst_1) (a : R), Eq.{succ (max u2 u1)} (MvPolynomial.{u2, u1} σ R _inst_1) (SMul.smul.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (SMulZeroClass.toHasSmul.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (MulZeroClass.toHasZero.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toMulZeroClass.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))))) (MvPolynomial.smulZeroClass.{u1, u1, u2} R R σ _inst_1 (SMulWithZero.toSmulZeroClass.{u1, u1} R R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (MulZeroClass.toSMulWithZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))))) a p) (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Distrib.toHasMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (fun (_x : RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (MvPolynomial.C.{u1, u2} R σ _inst_1) a) p)
 but is expected to have type
   forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] (p : MvPolynomial.{u1, u2} σ R _inst_1) (a : R), Eq.{max (succ u2) (succ u1)} (MvPolynomial.{u1, u2} σ R _inst_1) (HSMul.hSMul.{u2, max u2 u1, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (instHSMul.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Algebra.toSMul.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) a p) (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (instHMul.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (Semiring.toNonAssocSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (CommSemiring.toSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) a) p)
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.smul_eq_C_mul MvPolynomial.smul_eq_C_mulₓ'. -/
@@ -400,13 +403,18 @@ theorem smul_eq_C_mul (p : MvPolynomial σ R) (a : R) : a • p = C a * p :=
 
 /- warning: mv_polynomial.C_eq_smul_one -> MvPolynomial.C_eq_smul_one is a dubious translation:
 lean 3 declaration is
-  forall {R : Type.{u1}} {σ : Type.{u2}} {a : R} [_inst_1 : CommSemiring.{u1} R], Eq.{max (succ u2) (succ u1)} (MvPolynomial.{u2, u1} σ R _inst_1) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (fun (_x : RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (MvPolynomial.C.{u1, u2} R σ _inst_1) a) (SMul.smul.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (SMulZeroClass.toHasSmul.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (AddZeroClass.toHasZero.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))))))) (SMulWithZero.toSmulZeroClass.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))))))) (MulActionWithZero.toSMulWithZero.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))))))) (Module.toMulActionWithZero.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))))) a (OfNat.ofNat.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) 1 (OfNat.mk.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) 1 (One.one.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (AddMonoidWithOne.toOne.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (AddCommMonoidWithOne.toAddMonoidWithOne.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toAddCommMonoidWithOne.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))))))
+  forall {R : Type.{u1}} {σ : Type.{u2}} {a : R} [_inst_1 : CommSemiring.{u1} R], Eq.{max (succ u2) (succ u1)} (MvPolynomial.{u2, u1} σ R _inst_1) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (fun (_x : RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (MvPolynomial.C.{u1, u2} R σ _inst_1) a) (SMul.smul.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (SMulZeroClass.toHasSmul.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (MulZeroClass.toHasZero.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toMulZeroClass.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))))) (MvPolynomial.smulZeroClass.{u1, u1, u2} R R σ _inst_1 (SMulWithZero.toSmulZeroClass.{u1, u1} R R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (MulZeroClass.toSMulWithZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))))) a (OfNat.ofNat.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) 1 (OfNat.mk.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) 1 (One.one.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (AddMonoidWithOne.toOne.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (AddCommMonoidWithOne.toAddMonoidWithOne.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toAddCommMonoidWithOne.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))))))
 but is expected to have type
   forall {R : Type.{u2}} {σ : Type.{u1}} {a : R} [_inst_1 : CommSemiring.{u2} R], Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) a) (HSMul.hSMul.{u2, max u2 u1, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (instHSMul.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Algebra.toSMul.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) a (OfNat.ofNat.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) 1 (One.toOfNat1.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toOne.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.C_eq_smul_one MvPolynomial.C_eq_smul_oneₓ'. -/
 theorem C_eq_smul_one : (C a : MvPolynomial σ R) = a • 1 := by rw [← C_mul', mul_one]
 #align mv_polynomial.C_eq_smul_one MvPolynomial.C_eq_smul_one
 
+theorem smul_monomial {S₁ : Type _} [SMulZeroClass S₁ R] (r : S₁) :
+    r • monomial s a = monomial s (r • a) :=
+  Finsupp.smul_single _ _ _
+#align mv_polynomial.smul_monomial MvPolynomial.smul_monomial
+
 /- warning: mv_polynomial.X_injective -> MvPolynomial.X_injective is a dubious translation:
 lean 3 declaration is
   forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_3 : Nontrivial.{u1} R], Function.Injective.{succ u2, max (succ u2) (succ u1)} σ (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.X.{u1, u2} R σ _inst_1)
@@ -769,7 +777,7 @@ theorem is_id (f : MvPolynomial σ R →+* MvPolynomial σ R) (hC : f.comp C = C
 
 /- warning: mv_polynomial.alg_hom_ext' -> MvPolynomial.algHom_ext' is a dubious translation:
 lean 3 declaration is
-  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {A : Type.{u3}} {B : Type.{u4}} [_inst_3 : CommSemiring.{u3} A] [_inst_4 : CommSemiring.{u4} B] [_inst_5 : Algebra.{u1, u3} R A _inst_1 (CommSemiring.toSemiring.{u3} A _inst_3)] [_inst_6 : Algebra.{u1, u4} R B _inst_1 (CommSemiring.toSemiring.{u4} B _inst_4)] {f : AlgHom.{u1, max u2 u3, u4} R (MvPolynomial.{u2, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u2} A σ _inst_3)) (CommSemiring.toSemiring.{u4} B _inst_4) (MvPolynomial.algebra.{u1, u3, u2} R A σ _inst_1 _inst_3 _inst_5) _inst_6} {g : AlgHom.{u1, max u2 u3, u4} R (MvPolynomial.{u2, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u2} A σ _inst_3)) (CommSemiring.toSemiring.{u4} B _inst_4) (MvPolynomial.algebra.{u1, u3, u2} R A σ _inst_1 _inst_3 _inst_5) _inst_6}, (Eq.{max (succ u3) (succ u4)} (AlgHom.{u1, u3, u4} R A B _inst_1 (CommSemiring.toSemiring.{u3} A _inst_3) (CommSemiring.toSemiring.{u4} B _inst_4) _inst_5 _inst_6) (AlgHom.comp.{u1, u3, max u2 u3, u4} R A (MvPolynomial.{u2, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{u3} A _inst_3) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u2} A σ _inst_3)) (CommSemiring.toSemiring.{u4} B _inst_4) _inst_5 (MvPolynomial.algebra.{u1, u3, u2} R A σ _inst_1 _inst_3 _inst_5) _inst_6 f (IsScalarTower.toAlgHom.{u1, u3, max u2 u3} R A (MvPolynomial.{u2, u3} σ A _inst_3) _inst_1 _inst_3 (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u2} A σ _inst_3)) _inst_5 (MvPolynomial.algebra.{u3, u3, u2} A A σ _inst_3 _inst_3 (Algebra.id.{u3} A _inst_3)) (MvPolynomial.algebra.{u1, u3, u2} R A σ _inst_1 _inst_3 _inst_5) (MvPolynomial.isScalarTower.{u1, u3, u3, u2} R A A σ (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MonoidWithZero.toMonoid.{u3} A (Semiring.toMonoidWithZero.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3))) _inst_3 (SMulZeroClass.toHasSmul.{u1, u3} R A (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3))))))) (SMulWithZero.toSmulZeroClass.{u1, u3} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3))))))) (MulActionWithZero.toSMulWithZero.{u1, u3} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3))))))) (Module.toMulActionWithZero.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3)))) (Algebra.toModule.{u1, u3} R A _inst_1 (CommSemiring.toSemiring.{u3} A _inst_3) _inst_5))))) (Module.toDistribMulAction.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3)))) (Algebra.toModule.{u1, u3} R A _inst_1 (CommSemiring.toSemiring.{u3} A _inst_3) _inst_5)) (Module.toDistribMulAction.{u3, u3} A A (CommSemiring.toSemiring.{u3} A _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3)))) (Semiring.toModule.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3))) (IsScalarTower.right.{u1, u3} R A _inst_1 (CommSemiring.toSemiring.{u3} A _inst_3) _inst_5)))) (AlgHom.comp.{u1, u3, max u2 u3, u4} R A (MvPolynomial.{u2, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{u3} A _inst_3) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u2} A σ _inst_3)) (CommSemiring.toSemiring.{u4} B _inst_4) _inst_5 (MvPolynomial.algebra.{u1, u3, u2} R A σ _inst_1 _inst_3 _inst_5) _inst_6 g (IsScalarTower.toAlgHom.{u1, u3, max u2 u3} R A (MvPolynomial.{u2, u3} σ A _inst_3) _inst_1 _inst_3 (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u2} A σ _inst_3)) _inst_5 (MvPolynomial.algebra.{u3, u3, u2} A A σ _inst_3 _inst_3 (Algebra.id.{u3} A _inst_3)) (MvPolynomial.algebra.{u1, u3, u2} R A σ _inst_1 _inst_3 _inst_5) (MvPolynomial.isScalarTower.{u1, u3, u3, u2} R A A σ (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MonoidWithZero.toMonoid.{u3} A (Semiring.toMonoidWithZero.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3))) _inst_3 (SMulZeroClass.toHasSmul.{u1, u3} R A (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3))))))) (SMulWithZero.toSmulZeroClass.{u1, u3} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3))))))) (MulActionWithZero.toSMulWithZero.{u1, u3} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3))))))) (Module.toMulActionWithZero.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3)))) (Algebra.toModule.{u1, u3} R A _inst_1 (CommSemiring.toSemiring.{u3} A _inst_3) _inst_5))))) (Module.toDistribMulAction.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3)))) (Algebra.toModule.{u1, u3} R A _inst_1 (CommSemiring.toSemiring.{u3} A _inst_3) _inst_5)) (Module.toDistribMulAction.{u3, u3} A A (CommSemiring.toSemiring.{u3} A _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3)))) (Semiring.toModule.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3))) (IsScalarTower.right.{u1, u3} R A _inst_1 (CommSemiring.toSemiring.{u3} A _inst_3) _inst_5))))) -> (forall (i : σ), Eq.{succ u4} B (coeFn.{max (succ (max u2 u3)) (succ u4), max (succ (max u2 u3)) (succ u4)} (AlgHom.{u1, max u2 u3, u4} R (MvPolynomial.{u2, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u2} A σ _inst_3)) (CommSemiring.toSemiring.{u4} B _inst_4) (MvPolynomial.algebra.{u1, u3, u2} R A σ _inst_1 _inst_3 _inst_5) _inst_6) (fun (_x : AlgHom.{u1, max u2 u3, u4} R (MvPolynomial.{u2, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u2} A σ _inst_3)) (CommSemiring.toSemiring.{u4} B _inst_4) (MvPolynomial.algebra.{u1, u3, u2} R A σ _inst_1 _inst_3 _inst_5) _inst_6) => (MvPolynomial.{u2, u3} σ A _inst_3) -> B) ([anonymous].{u1, max u2 u3, u4} R (MvPolynomial.{u2, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u2} A σ _inst_3)) (CommSemiring.toSemiring.{u4} B _inst_4) (MvPolynomial.algebra.{u1, u3, u2} R A σ _inst_1 _inst_3 _inst_5) _inst_6) f (MvPolynomial.X.{u3, u2} A σ _inst_3 i)) (coeFn.{max (succ (max u2 u3)) (succ u4), max (succ (max u2 u3)) (succ u4)} (AlgHom.{u1, max u2 u3, u4} R (MvPolynomial.{u2, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u2} A σ _inst_3)) (CommSemiring.toSemiring.{u4} B _inst_4) (MvPolynomial.algebra.{u1, u3, u2} R A σ _inst_1 _inst_3 _inst_5) _inst_6) (fun (_x : AlgHom.{u1, max u2 u3, u4} R (MvPolynomial.{u2, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u2} A σ _inst_3)) (CommSemiring.toSemiring.{u4} B _inst_4) (MvPolynomial.algebra.{u1, u3, u2} R A σ _inst_1 _inst_3 _inst_5) _inst_6) => (MvPolynomial.{u2, u3} σ A _inst_3) -> B) ([anonymous].{u1, max u2 u3, u4} R (MvPolynomial.{u2, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u2} A σ _inst_3)) (CommSemiring.toSemiring.{u4} B _inst_4) (MvPolynomial.algebra.{u1, u3, u2} R A σ _inst_1 _inst_3 _inst_5) _inst_6) g (MvPolynomial.X.{u3, u2} A σ _inst_3 i))) -> (Eq.{max (succ (max u2 u3)) (succ u4)} (AlgHom.{u1, max u2 u3, u4} R (MvPolynomial.{u2, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u2} A σ _inst_3)) (CommSemiring.toSemiring.{u4} B _inst_4) (MvPolynomial.algebra.{u1, u3, u2} R A σ _inst_1 _inst_3 _inst_5) _inst_6) f g)
+  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {A : Type.{u3}} {B : Type.{u4}} [_inst_3 : CommSemiring.{u3} A] [_inst_4 : CommSemiring.{u4} B] [_inst_5 : Algebra.{u1, u3} R A _inst_1 (CommSemiring.toSemiring.{u3} A _inst_3)] [_inst_6 : Algebra.{u1, u4} R B _inst_1 (CommSemiring.toSemiring.{u4} B _inst_4)] {f : AlgHom.{u1, max u2 u3, u4} R (MvPolynomial.{u2, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u2} A σ _inst_3)) (CommSemiring.toSemiring.{u4} B _inst_4) (MvPolynomial.algebra.{u1, u3, u2} R A σ _inst_1 _inst_3 _inst_5) _inst_6} {g : AlgHom.{u1, max u2 u3, u4} R (MvPolynomial.{u2, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u2} A σ _inst_3)) (CommSemiring.toSemiring.{u4} B _inst_4) (MvPolynomial.algebra.{u1, u3, u2} R A σ _inst_1 _inst_3 _inst_5) _inst_6}, (Eq.{max (succ u3) (succ u4)} (AlgHom.{u1, u3, u4} R A B _inst_1 (CommSemiring.toSemiring.{u3} A _inst_3) (CommSemiring.toSemiring.{u4} B _inst_4) _inst_5 _inst_6) (AlgHom.comp.{u1, u3, max u2 u3, u4} R A (MvPolynomial.{u2, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{u3} A _inst_3) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u2} A σ _inst_3)) (CommSemiring.toSemiring.{u4} B _inst_4) _inst_5 (MvPolynomial.algebra.{u1, u3, u2} R A σ _inst_1 _inst_3 _inst_5) _inst_6 f (IsScalarTower.toAlgHom.{u1, u3, max u2 u3} R A (MvPolynomial.{u2, u3} σ A _inst_3) _inst_1 _inst_3 (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u2} A σ _inst_3)) _inst_5 (MvPolynomial.algebra.{u3, u3, u2} A A σ _inst_3 _inst_3 (Algebra.id.{u3} A _inst_3)) (MvPolynomial.algebra.{u1, u3, u2} R A σ _inst_1 _inst_3 _inst_5) (MvPolynomial.isScalarTower.{u1, u3, u3, u2} R A A σ _inst_3 (SMulZeroClass.toHasSmul.{u1, u3} R A (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3))))))) (SMulWithZero.toSmulZeroClass.{u1, u3} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3))))))) (MulActionWithZero.toSMulWithZero.{u1, u3} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3))))))) (Module.toMulActionWithZero.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3)))) (Algebra.toModule.{u1, u3} R A _inst_1 (CommSemiring.toSemiring.{u3} A _inst_3) _inst_5))))) (SMulWithZero.toSmulZeroClass.{u1, u3} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (MulZeroClass.toHasZero.{u3} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u3} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toHasZero.{u3} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3))))) (Module.toMulActionWithZero.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3)))) (Algebra.toModule.{u1, u3} R A _inst_1 (CommSemiring.toSemiring.{u3} A _inst_3) _inst_5)))) (SMulWithZero.toSmulZeroClass.{u3, u3} A A (MulZeroClass.toHasZero.{u3} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3))))) (MulZeroClass.toHasZero.{u3} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3))))) (MulZeroClass.toSMulWithZero.{u3} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3)))))) (IsScalarTower.right.{u1, u3} R A _inst_1 (CommSemiring.toSemiring.{u3} A _inst_3) _inst_5)))) (AlgHom.comp.{u1, u3, max u2 u3, u4} R A (MvPolynomial.{u2, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{u3} A _inst_3) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u2} A σ _inst_3)) (CommSemiring.toSemiring.{u4} B _inst_4) _inst_5 (MvPolynomial.algebra.{u1, u3, u2} R A σ _inst_1 _inst_3 _inst_5) _inst_6 g (IsScalarTower.toAlgHom.{u1, u3, max u2 u3} R A (MvPolynomial.{u2, u3} σ A _inst_3) _inst_1 _inst_3 (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u2} A σ _inst_3)) _inst_5 (MvPolynomial.algebra.{u3, u3, u2} A A σ _inst_3 _inst_3 (Algebra.id.{u3} A _inst_3)) (MvPolynomial.algebra.{u1, u3, u2} R A σ _inst_1 _inst_3 _inst_5) (MvPolynomial.isScalarTower.{u1, u3, u3, u2} R A A σ _inst_3 (SMulZeroClass.toHasSmul.{u1, u3} R A (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3))))))) (SMulWithZero.toSmulZeroClass.{u1, u3} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3))))))) (MulActionWithZero.toSMulWithZero.{u1, u3} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3))))))) (Module.toMulActionWithZero.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3)))) (Algebra.toModule.{u1, u3} R A _inst_1 (CommSemiring.toSemiring.{u3} A _inst_3) _inst_5))))) (SMulWithZero.toSmulZeroClass.{u1, u3} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (MulZeroClass.toHasZero.{u3} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u3} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toHasZero.{u3} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3))))) (Module.toMulActionWithZero.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3)))) (Algebra.toModule.{u1, u3} R A _inst_1 (CommSemiring.toSemiring.{u3} A _inst_3) _inst_5)))) (SMulWithZero.toSmulZeroClass.{u3, u3} A A (MulZeroClass.toHasZero.{u3} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3))))) (MulZeroClass.toHasZero.{u3} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3))))) (MulZeroClass.toSMulWithZero.{u3} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3)))))) (IsScalarTower.right.{u1, u3} R A _inst_1 (CommSemiring.toSemiring.{u3} A _inst_3) _inst_5))))) -> (forall (i : σ), Eq.{succ u4} B (coeFn.{max (succ (max u2 u3)) (succ u4), max (succ (max u2 u3)) (succ u4)} (AlgHom.{u1, max u2 u3, u4} R (MvPolynomial.{u2, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u2} A σ _inst_3)) (CommSemiring.toSemiring.{u4} B _inst_4) (MvPolynomial.algebra.{u1, u3, u2} R A σ _inst_1 _inst_3 _inst_5) _inst_6) (fun (_x : AlgHom.{u1, max u2 u3, u4} R (MvPolynomial.{u2, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u2} A σ _inst_3)) (CommSemiring.toSemiring.{u4} B _inst_4) (MvPolynomial.algebra.{u1, u3, u2} R A σ _inst_1 _inst_3 _inst_5) _inst_6) => (MvPolynomial.{u2, u3} σ A _inst_3) -> B) ([anonymous].{u1, max u2 u3, u4} R (MvPolynomial.{u2, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u2} A σ _inst_3)) (CommSemiring.toSemiring.{u4} B _inst_4) (MvPolynomial.algebra.{u1, u3, u2} R A σ _inst_1 _inst_3 _inst_5) _inst_6) f (MvPolynomial.X.{u3, u2} A σ _inst_3 i)) (coeFn.{max (succ (max u2 u3)) (succ u4), max (succ (max u2 u3)) (succ u4)} (AlgHom.{u1, max u2 u3, u4} R (MvPolynomial.{u2, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u2} A σ _inst_3)) (CommSemiring.toSemiring.{u4} B _inst_4) (MvPolynomial.algebra.{u1, u3, u2} R A σ _inst_1 _inst_3 _inst_5) _inst_6) (fun (_x : AlgHom.{u1, max u2 u3, u4} R (MvPolynomial.{u2, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u2} A σ _inst_3)) (CommSemiring.toSemiring.{u4} B _inst_4) (MvPolynomial.algebra.{u1, u3, u2} R A σ _inst_1 _inst_3 _inst_5) _inst_6) => (MvPolynomial.{u2, u3} σ A _inst_3) -> B) ([anonymous].{u1, max u2 u3, u4} R (MvPolynomial.{u2, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u2} A σ _inst_3)) (CommSemiring.toSemiring.{u4} B _inst_4) (MvPolynomial.algebra.{u1, u3, u2} R A σ _inst_1 _inst_3 _inst_5) _inst_6) g (MvPolynomial.X.{u3, u2} A σ _inst_3 i))) -> (Eq.{max (succ (max u2 u3)) (succ u4)} (AlgHom.{u1, max u2 u3, u4} R (MvPolynomial.{u2, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u2} A σ _inst_3)) (CommSemiring.toSemiring.{u4} B _inst_4) (MvPolynomial.algebra.{u1, u3, u2} R A σ _inst_1 _inst_3 _inst_5) _inst_6) f g)
 but is expected to have type
   forall {R : Type.{u4}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u4} R] {A : Type.{u3}} {B : Type.{u2}} [_inst_3 : CommSemiring.{u3} A] [_inst_4 : CommSemiring.{u2} B] [_inst_5 : Algebra.{u4, u3} R A _inst_1 (CommSemiring.toSemiring.{u3} A _inst_3)] [_inst_6 : Algebra.{u4, u2} R B _inst_1 (CommSemiring.toSemiring.{u2} B _inst_4)] {f : AlgHom.{u4, max u3 u1, u2} R (MvPolynomial.{u1, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) (CommSemiring.toSemiring.{u2} B _inst_4) (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5) _inst_6} {g : AlgHom.{u4, max u3 u1, u2} R (MvPolynomial.{u1, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) (CommSemiring.toSemiring.{u2} B _inst_4) (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5) _inst_6}, (Eq.{max (succ u3) (succ u2)} (AlgHom.{u4, u3, u2} R A B _inst_1 (CommSemiring.toSemiring.{u3} A _inst_3) (CommSemiring.toSemiring.{u2} B _inst_4) _inst_5 _inst_6) (AlgHom.comp.{u4, u3, max u1 u3, u2} R A (MvPolynomial.{u1, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{u3} A _inst_3) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) (CommSemiring.toSemiring.{u2} B _inst_4) _inst_5 (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5) _inst_6 f (IsScalarTower.toAlgHom.{u4, u3, max u3 u1} R A (MvPolynomial.{u1, u3} σ A _inst_3) _inst_1 _inst_3 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) _inst_5 (MvPolynomial.algebra.{u3, u3, u1} A A σ _inst_3 _inst_3 (Algebra.id.{u3} A _inst_3)) (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5) (MvPolynomial.isScalarTower.{u4, u3, u3, u1} R A A σ (MonoidWithZero.toMonoid.{u4} R (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (MonoidWithZero.toMonoid.{u3} A (Semiring.toMonoidWithZero.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3))) _inst_3 (Algebra.toSMul.{u4, u3} R A _inst_1 (CommSemiring.toSemiring.{u3} A _inst_3) _inst_5) (Module.toDistribMulAction.{u4, u3} R A (CommSemiring.toSemiring.{u4} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3)))) (Algebra.toModule.{u4, u3} R A _inst_1 (CommSemiring.toSemiring.{u3} A _inst_3) _inst_5)) (Module.toDistribMulAction.{u3, u3} A A (CommSemiring.toSemiring.{u3} A _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3)))) (Semiring.toModule.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3))) (IsScalarTower.right.{u4, u3} R A _inst_1 (CommSemiring.toSemiring.{u3} A _inst_3) _inst_5)))) (AlgHom.comp.{u4, u3, max u1 u3, u2} R A (MvPolynomial.{u1, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{u3} A _inst_3) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) (CommSemiring.toSemiring.{u2} B _inst_4) _inst_5 (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5) _inst_6 g (IsScalarTower.toAlgHom.{u4, u3, max u3 u1} R A (MvPolynomial.{u1, u3} σ A _inst_3) _inst_1 _inst_3 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) _inst_5 (MvPolynomial.algebra.{u3, u3, u1} A A σ _inst_3 _inst_3 (Algebra.id.{u3} A _inst_3)) (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5) (MvPolynomial.isScalarTower.{u4, u3, u3, u1} R A A σ (MonoidWithZero.toMonoid.{u4} R (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (MonoidWithZero.toMonoid.{u3} A (Semiring.toMonoidWithZero.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3))) _inst_3 (Algebra.toSMul.{u4, u3} R A _inst_1 (CommSemiring.toSemiring.{u3} A _inst_3) _inst_5) (Module.toDistribMulAction.{u4, u3} R A (CommSemiring.toSemiring.{u4} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3)))) (Algebra.toModule.{u4, u3} R A _inst_1 (CommSemiring.toSemiring.{u3} A _inst_3) _inst_5)) (Module.toDistribMulAction.{u3, u3} A A (CommSemiring.toSemiring.{u3} A _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3)))) (Semiring.toModule.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3))) (IsScalarTower.right.{u4, u3} R A _inst_1 (CommSemiring.toSemiring.{u3} A _inst_3) _inst_5))))) -> (forall (i : σ), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u1, u3} σ A _inst_3) => B) (MvPolynomial.X.{u3, u1} A σ _inst_3 i)) (FunLike.coe.{max (max (succ u1) (succ u3)) (succ u2), max (succ u1) (succ u3), succ u2} (AlgHom.{u4, max u3 u1, u2} R (MvPolynomial.{u1, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) (CommSemiring.toSemiring.{u2} B _inst_4) (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5) _inst_6) (MvPolynomial.{u1, u3} σ A _inst_3) (fun (_x : MvPolynomial.{u1, u3} σ A _inst_3) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u1, u3} σ A _inst_3) => B) _x) (SMulHomClass.toFunLike.{max (max u1 u3) u2, u4, max u1 u3, u2} (AlgHom.{u4, max u3 u1, u2} R (MvPolynomial.{u1, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) (CommSemiring.toSemiring.{u2} B _inst_4) (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5) _inst_6) R (MvPolynomial.{u1, u3} σ A _inst_3) B (SMulZeroClass.toSMul.{u4, max u1 u3} R (MvPolynomial.{u1, u3} σ A _inst_3) (AddMonoid.toZero.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (AddCommMonoid.toAddMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3))))))) (DistribSMul.toSMulZeroClass.{u4, max u1 u3} R (MvPolynomial.{u1, u3} σ A _inst_3) (AddMonoid.toAddZeroClass.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (AddCommMonoid.toAddMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3))))))) (DistribMulAction.toDistribSMul.{u4, max u1 u3} R (MvPolynomial.{u1, u3} σ A _inst_3) (MonoidWithZero.toMonoid.{u4} R (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)))))) (Module.toDistribMulAction.{u4, max u1 u3} R (MvPolynomial.{u1, u3} σ A _inst_3) (CommSemiring.toSemiring.{u4} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3))))) (Algebra.toModule.{u4, max u1 u3} R (MvPolynomial.{u1, u3} σ A _inst_3) _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5)))))) (SMulZeroClass.toSMul.{u4, u2} R B (AddMonoid.toZero.{u2} B (AddCommMonoid.toAddMonoid.{u2} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_4)))))) (DistribSMul.toSMulZeroClass.{u4, u2} R B (AddMonoid.toAddZeroClass.{u2} B (AddCommMonoid.toAddMonoid.{u2} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_4)))))) (DistribMulAction.toDistribSMul.{u4, u2} R B (MonoidWithZero.toMonoid.{u4} R (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (AddCommMonoid.toAddMonoid.{u2} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_4))))) (Module.toDistribMulAction.{u4, u2} R B (CommSemiring.toSemiring.{u4} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_4)))) (Algebra.toModule.{u4, u2} R B _inst_1 (CommSemiring.toSemiring.{u2} B _inst_4) _inst_6))))) (DistribMulActionHomClass.toSMulHomClass.{max (max u1 u3) u2, u4, max u1 u3, u2} (AlgHom.{u4, max u3 u1, u2} R (MvPolynomial.{u1, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) (CommSemiring.toSemiring.{u2} B _inst_4) (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5) _inst_6) R (MvPolynomial.{u1, u3} σ A _inst_3) B (MonoidWithZero.toMonoid.{u4} R (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)))))) (AddCommMonoid.toAddMonoid.{u2} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_4))))) (Module.toDistribMulAction.{u4, max u1 u3} R (MvPolynomial.{u1, u3} σ A _inst_3) (CommSemiring.toSemiring.{u4} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3))))) (Algebra.toModule.{u4, max u1 u3} R (MvPolynomial.{u1, u3} σ A _inst_3) _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5))) (Module.toDistribMulAction.{u4, u2} R B (CommSemiring.toSemiring.{u4} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_4)))) (Algebra.toModule.{u4, u2} R B _inst_1 (CommSemiring.toSemiring.{u2} B _inst_4) _inst_6)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max (max u1 u3) u2, u4, max u1 u3, u2} (AlgHom.{u4, max u3 u1, u2} R (MvPolynomial.{u1, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) (CommSemiring.toSemiring.{u2} B _inst_4) (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5) _inst_6) R (MvPolynomial.{u1, u3} σ A _inst_3) B (MonoidWithZero.toMonoid.{u4} R (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_4))) (Module.toDistribMulAction.{u4, max u1 u3} R (MvPolynomial.{u1, u3} σ A _inst_3) (CommSemiring.toSemiring.{u4} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3))))) (Algebra.toModule.{u4, max u1 u3} R (MvPolynomial.{u1, u3} σ A _inst_3) _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5))) (Module.toDistribMulAction.{u4, u2} R B (CommSemiring.toSemiring.{u4} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_4)))) (Algebra.toModule.{u4, u2} R B _inst_1 (CommSemiring.toSemiring.{u2} B _inst_4) _inst_6)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u4, max u1 u3, u2, max (max u1 u3) u2} R (MvPolynomial.{u1, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) (CommSemiring.toSemiring.{u2} B _inst_4) (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5) _inst_6 (AlgHom.{u4, max u3 u1, u2} R (MvPolynomial.{u1, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) (CommSemiring.toSemiring.{u2} B _inst_4) (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5) _inst_6) (AlgHom.algHomClass.{u4, max u1 u3, u2} R (MvPolynomial.{u1, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) (CommSemiring.toSemiring.{u2} B _inst_4) (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5) _inst_6))))) f (MvPolynomial.X.{u3, u1} A σ _inst_3 i)) (FunLike.coe.{max (max (succ u1) (succ u3)) (succ u2), max (succ u1) (succ u3), succ u2} (AlgHom.{u4, max u3 u1, u2} R (MvPolynomial.{u1, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) (CommSemiring.toSemiring.{u2} B _inst_4) (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5) _inst_6) (MvPolynomial.{u1, u3} σ A _inst_3) (fun (_x : MvPolynomial.{u1, u3} σ A _inst_3) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u1, u3} σ A _inst_3) => B) _x) (SMulHomClass.toFunLike.{max (max u1 u3) u2, u4, max u1 u3, u2} (AlgHom.{u4, max u3 u1, u2} R (MvPolynomial.{u1, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) (CommSemiring.toSemiring.{u2} B _inst_4) (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5) _inst_6) R (MvPolynomial.{u1, u3} σ A _inst_3) B (SMulZeroClass.toSMul.{u4, max u1 u3} R (MvPolynomial.{u1, u3} σ A _inst_3) (AddMonoid.toZero.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (AddCommMonoid.toAddMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3))))))) (DistribSMul.toSMulZeroClass.{u4, max u1 u3} R (MvPolynomial.{u1, u3} σ A _inst_3) (AddMonoid.toAddZeroClass.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (AddCommMonoid.toAddMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3))))))) (DistribMulAction.toDistribSMul.{u4, max u1 u3} R (MvPolynomial.{u1, u3} σ A _inst_3) (MonoidWithZero.toMonoid.{u4} R (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)))))) (Module.toDistribMulAction.{u4, max u1 u3} R (MvPolynomial.{u1, u3} σ A _inst_3) (CommSemiring.toSemiring.{u4} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3))))) (Algebra.toModule.{u4, max u1 u3} R (MvPolynomial.{u1, u3} σ A _inst_3) _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5)))))) (SMulZeroClass.toSMul.{u4, u2} R B (AddMonoid.toZero.{u2} B (AddCommMonoid.toAddMonoid.{u2} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_4)))))) (DistribSMul.toSMulZeroClass.{u4, u2} R B (AddMonoid.toAddZeroClass.{u2} B (AddCommMonoid.toAddMonoid.{u2} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_4)))))) (DistribMulAction.toDistribSMul.{u4, u2} R B (MonoidWithZero.toMonoid.{u4} R (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (AddCommMonoid.toAddMonoid.{u2} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_4))))) (Module.toDistribMulAction.{u4, u2} R B (CommSemiring.toSemiring.{u4} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_4)))) (Algebra.toModule.{u4, u2} R B _inst_1 (CommSemiring.toSemiring.{u2} B _inst_4) _inst_6))))) (DistribMulActionHomClass.toSMulHomClass.{max (max u1 u3) u2, u4, max u1 u3, u2} (AlgHom.{u4, max u3 u1, u2} R (MvPolynomial.{u1, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) (CommSemiring.toSemiring.{u2} B _inst_4) (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5) _inst_6) R (MvPolynomial.{u1, u3} σ A _inst_3) B (MonoidWithZero.toMonoid.{u4} R (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)))))) (AddCommMonoid.toAddMonoid.{u2} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_4))))) (Module.toDistribMulAction.{u4, max u1 u3} R (MvPolynomial.{u1, u3} σ A _inst_3) (CommSemiring.toSemiring.{u4} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3))))) (Algebra.toModule.{u4, max u1 u3} R (MvPolynomial.{u1, u3} σ A _inst_3) _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5))) (Module.toDistribMulAction.{u4, u2} R B (CommSemiring.toSemiring.{u4} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_4)))) (Algebra.toModule.{u4, u2} R B _inst_1 (CommSemiring.toSemiring.{u2} B _inst_4) _inst_6)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max (max u1 u3) u2, u4, max u1 u3, u2} (AlgHom.{u4, max u3 u1, u2} R (MvPolynomial.{u1, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) (CommSemiring.toSemiring.{u2} B _inst_4) (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5) _inst_6) R (MvPolynomial.{u1, u3} σ A _inst_3) B (MonoidWithZero.toMonoid.{u4} R (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_4))) (Module.toDistribMulAction.{u4, max u1 u3} R (MvPolynomial.{u1, u3} σ A _inst_3) (CommSemiring.toSemiring.{u4} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3))))) (Algebra.toModule.{u4, max u1 u3} R (MvPolynomial.{u1, u3} σ A _inst_3) _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5))) (Module.toDistribMulAction.{u4, u2} R B (CommSemiring.toSemiring.{u4} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_4)))) (Algebra.toModule.{u4, u2} R B _inst_1 (CommSemiring.toSemiring.{u2} B _inst_4) _inst_6)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u4, max u1 u3, u2, max (max u1 u3) u2} R (MvPolynomial.{u1, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) (CommSemiring.toSemiring.{u2} B _inst_4) (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5) _inst_6 (AlgHom.{u4, max u3 u1, u2} R (MvPolynomial.{u1, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) (CommSemiring.toSemiring.{u2} B _inst_4) (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5) _inst_6) (AlgHom.algHomClass.{u4, max u1 u3, u2} R (MvPolynomial.{u1, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) (CommSemiring.toSemiring.{u2} B _inst_4) (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5) _inst_6))))) g (MvPolynomial.X.{u3, u1} A σ _inst_3 i))) -> (Eq.{max (max (succ u1) (succ u3)) (succ u2)} (AlgHom.{u4, max u3 u1, u2} R (MvPolynomial.{u1, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) (CommSemiring.toSemiring.{u2} B _inst_4) (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5) _inst_6) f g)
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.alg_hom_ext' MvPolynomial.algHom_ext'ₓ'. -/
@@ -919,11 +927,11 @@ theorem support_zero : (0 : MvPolynomial σ R).support = ∅ :=
 
 /- warning: mv_polynomial.support_smul -> MvPolynomial.support_smul is a dubious translation:
 lean 3 declaration is
-  forall {R : Type.{u1}} {S₁ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] [_inst_3 : DistribMulAction.{u1, u2} R S₁ (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (AddMonoidWithOne.toAddMonoid.{u2} S₁ (AddCommMonoidWithOne.toAddMonoidWithOne.{u2} S₁ (NonAssocSemiring.toAddCommMonoidWithOne.{u2} S₁ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)))))] {a : R} {f : MvPolynomial.{u3, u2} σ S₁ _inst_2}, HasSubset.Subset.{u3} (Finset.{u3} (Finsupp.{u3, 0} σ Nat Nat.hasZero)) (Finset.hasSubset.{u3} (Finsupp.{u3, 0} σ Nat Nat.hasZero)) (MvPolynomial.support.{u2, u3} S₁ σ _inst_2 (SMul.smul.{u1, max u3 u2} R (MvPolynomial.{u3, u2} σ S₁ _inst_2) (SMulZeroClass.toHasSmul.{u1, max u3 u2} R (MvPolynomial.{u3, u2} σ S₁ _inst_2) (AddZeroClass.toHasZero.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (AddMonoid.toAddZeroClass.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (AddMonoidWithOne.toAddMonoid.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (AddCommMonoidWithOne.toAddMonoidWithOne.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (NonAssocSemiring.toAddCommMonoidWithOne.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))))))) (DistribSMul.toSmulZeroClass.{u1, max u3 u2} R (MvPolynomial.{u3, u2} σ S₁ _inst_2) (AddMonoid.toAddZeroClass.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (AddMonoidWithOne.toAddMonoid.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (AddCommMonoidWithOne.toAddMonoidWithOne.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (NonAssocSemiring.toAddCommMonoidWithOne.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2))))))) (DistribMulAction.toDistribSMul.{u1, max u3 u2} R (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (AddMonoidWithOne.toAddMonoid.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (AddCommMonoidWithOne.toAddMonoidWithOne.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (NonAssocSemiring.toAddCommMonoidWithOne.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))))) (MvPolynomial.distribMulAction.{u1, u2, u3} R S₁ σ (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) _inst_2 _inst_3)))) a f)) (MvPolynomial.support.{u2, u3} S₁ σ _inst_2 f)
+  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {S₁ : Type.{u3}} [_inst_3 : SMulZeroClass.{u3, u1} S₁ R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))] {a : S₁} {f : MvPolynomial.{u2, u1} σ R _inst_1}, HasSubset.Subset.{u2} (Finset.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (Finset.hasSubset.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (MvPolynomial.support.{u1, u2} R σ _inst_1 (SMul.smul.{u3, max u2 u1} S₁ (MvPolynomial.{u2, u1} σ R _inst_1) (SMulZeroClass.toHasSmul.{u3, max u2 u1} S₁ (MvPolynomial.{u2, u1} σ R _inst_1) (MulZeroClass.toHasZero.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toMulZeroClass.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))))) (MvPolynomial.smulZeroClass.{u3, u1, u2} S₁ R σ _inst_1 _inst_3)) a f)) (MvPolynomial.support.{u1, u2} R σ _inst_1 f)
 but is expected to have type
-  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] [_inst_3 : DistribMulAction.{u2, u3} R S₁ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddMonoidWithOne.toAddMonoid.{u3} S₁ (AddCommMonoidWithOne.toAddMonoidWithOne.{u3} S₁ (NonAssocSemiring.toAddCommMonoidWithOne.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))] {a : R} {f : MvPolynomial.{u1, u3} σ S₁ _inst_2}, HasSubset.Subset.{u1} (Finset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (Finset.instHasSubsetFinset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (MvPolynomial.support.{u3, u1} S₁ σ _inst_2 (HSMul.hSMul.{u2, max u3 u1, max u3 u1} R (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (instHSMul.{u2, max u3 u1} R (MvPolynomial.{u1, u3} σ S₁ _inst_2) (SMulZeroClass.toSMul.{u2, max u3 u1} R (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommMonoidWithZero.toZero.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toCommMonoidWithZero.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (DistribSMul.toSMulZeroClass.{u2, max u3 u1} R (MvPolynomial.{u1, u3} σ S₁ _inst_2) (AddMonoid.toAddZeroClass.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (AddMonoidWithOne.toAddMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (AddCommMonoidWithOne.toAddMonoidWithOne.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toAddCommMonoidWithOne.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))))) (DistribMulAction.toDistribSMul.{u2, max u3 u1} R (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddMonoidWithOne.toAddMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (AddCommMonoidWithOne.toAddMonoidWithOne.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toAddCommMonoidWithOne.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))))) (MvPolynomial.distribuMulAction.{u2, u3, u1} R S₁ σ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) _inst_2 _inst_3))))) a f)) (MvPolynomial.support.{u3, u1} S₁ σ _inst_2 f)
+  forall {R : Type.{u2}} {σ : Type.{u3}} {_inst_1 : Type.{u1}} [S₁ : CommSemiring.{u2} R] [_inst_3 : CommSemiring.{u3} σ] [a : DistribMulAction.{u2, u3} R σ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R S₁))) (AddMonoidWithOne.toAddMonoid.{u3} σ (AddCommMonoidWithOne.toAddMonoidWithOne.{u3} σ (NonAssocSemiring.toAddCommMonoidWithOne.{u3} σ (Semiring.toNonAssocSemiring.{u3} σ (CommSemiring.toSemiring.{u3} σ _inst_3)))))] {f : R} {f_1 : MvPolynomial.{u1, u3} _inst_1 σ _inst_3}, HasSubset.Subset.{u1} (Finset.{u1} (Finsupp.{u1, 0} _inst_1 Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (Finset.instHasSubsetFinset.{u1} (Finsupp.{u1, 0} _inst_1 Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (MvPolynomial.support.{u3, u1} σ _inst_1 _inst_3 (HSMul.hSMul.{u2, max u3 u1, max u3 u1} R (MvPolynomial.{u1, u3} _inst_1 σ _inst_3) (MvPolynomial.{u1, u3} _inst_1 σ _inst_3) (instHSMul.{u2, max u3 u1} R (MvPolynomial.{u1, u3} _inst_1 σ _inst_3) (SMulZeroClass.toSMul.{u2, max u3 u1} R (MvPolynomial.{u1, u3} _inst_1 σ _inst_3) (CommMonoidWithZero.toZero.{max u3 u1} (MvPolynomial.{u1, u3} _inst_1 σ _inst_3) (CommSemiring.toCommMonoidWithZero.{max u3 u1} (MvPolynomial.{u1, u3} _inst_1 σ _inst_3) (MvPolynomial.commSemiring.{u3, u1} σ _inst_1 _inst_3))) (DistribSMul.toSMulZeroClass.{u2, max u3 u1} R (MvPolynomial.{u1, u3} _inst_1 σ _inst_3) (AddMonoid.toAddZeroClass.{max u3 u1} (MvPolynomial.{u1, u3} _inst_1 σ _inst_3) (AddMonoidWithOne.toAddMonoid.{max u3 u1} (MvPolynomial.{u1, u3} _inst_1 σ _inst_3) (AddCommMonoidWithOne.toAddMonoidWithOne.{max u3 u1} (MvPolynomial.{u1, u3} _inst_1 σ _inst_3) (NonAssocSemiring.toAddCommMonoidWithOne.{max u3 u1} (MvPolynomial.{u1, u3} _inst_1 σ _inst_3) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} _inst_1 σ _inst_3) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} _inst_1 σ _inst_3) (MvPolynomial.commSemiring.{u3, u1} σ _inst_1 _inst_3))))))) (DistribMulAction.toDistribSMul.{u2, max u3 u1} R (MvPolynomial.{u1, u3} _inst_1 σ _inst_3) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R S₁))) (AddMonoidWithOne.toAddMonoid.{max u3 u1} (MvPolynomial.{u1, u3} _inst_1 σ _inst_3) (AddCommMonoidWithOne.toAddMonoidWithOne.{max u3 u1} (MvPolynomial.{u1, u3} _inst_1 σ _inst_3) (NonAssocSemiring.toAddCommMonoidWithOne.{max u3 u1} (MvPolynomial.{u1, u3} _inst_1 σ _inst_3) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} _inst_1 σ _inst_3) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} _inst_1 σ _inst_3) (MvPolynomial.commSemiring.{u3, u1} σ _inst_1 _inst_3)))))) (MvPolynomial.distribuMulAction.{u2, u3, u1} R σ _inst_1 (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R S₁))) _inst_3 a))))) f f_1)) (MvPolynomial.support.{u3, u1} σ _inst_1 _inst_3 f_1)
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.support_smul MvPolynomial.support_smulₓ'. -/
-theorem support_smul [DistribMulAction R S₁] {a : R} {f : MvPolynomial σ S₁} :
+theorem support_smul {S₁ : Type _} [SMulZeroClass S₁ R] {a : S₁} {f : MvPolynomial σ R} :
     (a • f).support ⊆ f.support :=
   Finsupp.support_smul
 #align mv_polynomial.support_smul MvPolynomial.support_smul
@@ -1026,13 +1034,13 @@ theorem coeff_add (m : σ →₀ ℕ) (p q : MvPolynomial σ R) : coeff m (p + q
 
 /- warning: mv_polynomial.coeff_smul -> MvPolynomial.coeff_smul is a dubious translation:
 lean 3 declaration is
-  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {S₁ : Type.{u3}} [_inst_3 : Monoid.{u3} S₁] [_inst_4 : DistribMulAction.{u3, u1} S₁ R _inst_3 (AddMonoidWithOne.toAddMonoid.{u1} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} R (NonAssocSemiring.toAddCommMonoidWithOne.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))] (m : Finsupp.{u2, 0} σ Nat Nat.hasZero) (c : S₁) (p : MvPolynomial.{u2, u1} σ R _inst_1), Eq.{succ u1} R (MvPolynomial.coeff.{u1, u2} R σ _inst_1 m (SMul.smul.{u3, max u2 u1} S₁ (MvPolynomial.{u2, u1} σ R _inst_1) (SMulZeroClass.toHasSmul.{u3, max u2 u1} S₁ (MvPolynomial.{u2, u1} σ R _inst_1) (AddZeroClass.toHasZero.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (AddMonoidWithOne.toAddMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (AddCommMonoidWithOne.toAddMonoidWithOne.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toAddCommMonoidWithOne.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))))))) (DistribSMul.toSmulZeroClass.{u3, max u2 u1} S₁ (MvPolynomial.{u2, u1} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (AddMonoidWithOne.toAddMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (AddCommMonoidWithOne.toAddMonoidWithOne.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toAddCommMonoidWithOne.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))) (DistribMulAction.toDistribSMul.{u3, max u2 u1} S₁ (MvPolynomial.{u2, u1} σ R _inst_1) _inst_3 (AddMonoidWithOne.toAddMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (AddCommMonoidWithOne.toAddMonoidWithOne.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toAddCommMonoidWithOne.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))))) (MvPolynomial.distribMulAction.{u3, u1, u2} S₁ R σ _inst_3 _inst_1 _inst_4)))) c p)) (SMul.smul.{u3, u1} S₁ R (SMulZeroClass.toHasSmul.{u3, u1} S₁ R (AddZeroClass.toHasZero.{u1} R (AddMonoid.toAddZeroClass.{u1} R (AddMonoidWithOne.toAddMonoid.{u1} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} R (NonAssocSemiring.toAddCommMonoidWithOne.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))))) (DistribSMul.toSmulZeroClass.{u3, u1} S₁ R (AddMonoid.toAddZeroClass.{u1} R (AddMonoidWithOne.toAddMonoid.{u1} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} R (NonAssocSemiring.toAddCommMonoidWithOne.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))) (DistribMulAction.toDistribSMul.{u3, u1} S₁ R _inst_3 (AddMonoidWithOne.toAddMonoid.{u1} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} R (NonAssocSemiring.toAddCommMonoidWithOne.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) _inst_4))) c (MvPolynomial.coeff.{u1, u2} R σ _inst_1 m p))
+  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {S₁ : Type.{u3}} [_inst_3 : SMulZeroClass.{u3, u1} S₁ R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))] (m : Finsupp.{u2, 0} σ Nat Nat.hasZero) (c : S₁) (p : MvPolynomial.{u2, u1} σ R _inst_1), Eq.{succ u1} R (MvPolynomial.coeff.{u1, u2} R σ _inst_1 m (SMul.smul.{u3, max u2 u1} S₁ (MvPolynomial.{u2, u1} σ R _inst_1) (SMulZeroClass.toHasSmul.{u3, max u2 u1} S₁ (MvPolynomial.{u2, u1} σ R _inst_1) (MulZeroClass.toHasZero.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toMulZeroClass.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))))) (MvPolynomial.smulZeroClass.{u3, u1, u2} S₁ R σ _inst_1 _inst_3)) c p)) (SMul.smul.{u3, u1} S₁ R (SMulZeroClass.toHasSmul.{u3, u1} S₁ R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) _inst_3) c (MvPolynomial.coeff.{u1, u2} R σ _inst_1 m p))
 but is expected to have type
-  forall {R : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u3} R] {S₁ : Type.{u2}} [_inst_3 : Monoid.{u2} S₁] [_inst_4 : DistribMulAction.{u2, u3} S₁ R _inst_3 (AddMonoidWithOne.toAddMonoid.{u3} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u3} R (NonAssocSemiring.toAddCommMonoidWithOne.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))))] (m : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (c : S₁) (p : MvPolynomial.{u1, u3} σ R _inst_1), Eq.{succ u3} R (MvPolynomial.coeff.{u3, u1} R σ _inst_1 m (HSMul.hSMul.{u2, max u3 u1, max u3 u1} S₁ (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.{u1, u3} σ R _inst_1) (instHSMul.{u2, max u3 u1} S₁ (MvPolynomial.{u1, u3} σ R _inst_1) (SMulZeroClass.toSMul.{u2, max u3 u1} S₁ (MvPolynomial.{u1, u3} σ R _inst_1) (CommMonoidWithZero.toZero.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toCommMonoidWithZero.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (DistribSMul.toSMulZeroClass.{u2, max u3 u1} S₁ (MvPolynomial.{u1, u3} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (AddMonoidWithOne.toAddMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (AddCommMonoidWithOne.toAddMonoidWithOne.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toAddCommMonoidWithOne.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))))) (DistribMulAction.toDistribSMul.{u2, max u3 u1} S₁ (MvPolynomial.{u1, u3} σ R _inst_1) _inst_3 (AddMonoidWithOne.toAddMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (AddCommMonoidWithOne.toAddMonoidWithOne.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toAddCommMonoidWithOne.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))))) (MvPolynomial.distribuMulAction.{u2, u3, u1} S₁ R σ _inst_3 _inst_1 _inst_4))))) c p)) (HSMul.hSMul.{u2, u3, u3} S₁ R R (instHSMul.{u2, u3} S₁ R (SMulZeroClass.toSMul.{u2, u3} S₁ R (CommMonoidWithZero.toZero.{u3} R (CommSemiring.toCommMonoidWithZero.{u3} R _inst_1)) (DistribSMul.toSMulZeroClass.{u2, u3} S₁ R (AddMonoid.toAddZeroClass.{u3} R (AddMonoidWithOne.toAddMonoid.{u3} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u3} R (NonAssocSemiring.toAddCommMonoidWithOne.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))))) (DistribMulAction.toDistribSMul.{u2, u3} S₁ R _inst_3 (AddMonoidWithOne.toAddMonoid.{u3} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u3} R (NonAssocSemiring.toAddCommMonoidWithOne.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))))) _inst_4)))) c (MvPolynomial.coeff.{u3, u1} R σ _inst_1 m p))
+  forall {R : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u3} R] {S₁ : Type.{u2}} [_inst_3 : Monoid.{u2} S₁] [m : DistribMulAction.{u2, u3} S₁ R _inst_3 (AddMonoidWithOne.toAddMonoid.{u3} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u3} R (NonAssocSemiring.toAddCommMonoidWithOne.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))))] (c : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (p : S₁) (p_1 : MvPolynomial.{u1, u3} σ R _inst_1), Eq.{succ u3} R (MvPolynomial.coeff.{u3, u1} R σ _inst_1 c (HSMul.hSMul.{u2, max u3 u1, max u3 u1} S₁ (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.{u1, u3} σ R _inst_1) (instHSMul.{u2, max u3 u1} S₁ (MvPolynomial.{u1, u3} σ R _inst_1) (SMulZeroClass.toSMul.{u2, max u3 u1} S₁ (MvPolynomial.{u1, u3} σ R _inst_1) (CommMonoidWithZero.toZero.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toCommMonoidWithZero.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (DistribSMul.toSMulZeroClass.{u2, max u3 u1} S₁ (MvPolynomial.{u1, u3} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (AddMonoidWithOne.toAddMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (AddCommMonoidWithOne.toAddMonoidWithOne.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toAddCommMonoidWithOne.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))))) (DistribMulAction.toDistribSMul.{u2, max u3 u1} S₁ (MvPolynomial.{u1, u3} σ R _inst_1) _inst_3 (AddMonoidWithOne.toAddMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (AddCommMonoidWithOne.toAddMonoidWithOne.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toAddCommMonoidWithOne.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))))) (MvPolynomial.distribuMulAction.{u2, u3, u1} S₁ R σ _inst_3 _inst_1 m))))) p p_1)) (HSMul.hSMul.{u2, u3, u3} S₁ R R (instHSMul.{u2, u3} S₁ R (SMulZeroClass.toSMul.{u2, u3} S₁ R (CommMonoidWithZero.toZero.{u3} R (CommSemiring.toCommMonoidWithZero.{u3} R _inst_1)) (DistribSMul.toSMulZeroClass.{u2, u3} S₁ R (AddMonoid.toAddZeroClass.{u3} R (AddMonoidWithOne.toAddMonoid.{u3} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u3} R (NonAssocSemiring.toAddCommMonoidWithOne.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))))) (DistribMulAction.toDistribSMul.{u2, u3} S₁ R _inst_3 (AddMonoidWithOne.toAddMonoid.{u3} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u3} R (NonAssocSemiring.toAddCommMonoidWithOne.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))))) m)))) p (MvPolynomial.coeff.{u3, u1} R σ _inst_1 c p_1))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.coeff_smul MvPolynomial.coeff_smulₓ'. -/
 @[simp]
-theorem coeff_smul {S₁ : Type _} [Monoid S₁] [DistribMulAction S₁ R] (m : σ →₀ ℕ) (c : S₁)
-    (p : MvPolynomial σ R) : coeff m (c • p) = c • coeff m p :=
+theorem coeff_smul {S₁ : Type _} [SMulZeroClass S₁ R] (m : σ →₀ ℕ) (c : S₁) (p : MvPolynomial σ R) :
+    coeff m (c • p) = c • coeff m p :=
   smul_apply c p m
 #align mv_polynomial.coeff_smul MvPolynomial.coeff_smul
 
@@ -1280,6 +1288,12 @@ theorem support_X_mul (s : σ) (p : MvPolynomial σ R) :
   AddMonoidAlgebra.support_single_mul p _ (by simp) _
 #align mv_polynomial.support_X_mul MvPolynomial.support_X_mul
 
+@[simp]
+theorem support_smul_eq {S₁ : Type _} [Semiring S₁] [Module S₁ R] [NoZeroSMulDivisors S₁ R] {a : S₁}
+    (h : a ≠ 0) (p : MvPolynomial σ R) : (a • p).support = p.support :=
+  Finsupp.support_smul_eq h
+#align mv_polynomial.support_smul_eq MvPolynomial.support_smul_eq
+
 /- warning: mv_polynomial.support_sdiff_support_subset_support_add -> MvPolynomial.support_sdiff_support_subset_support_add is a dubious translation:
 lean 3 declaration is
   forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_3 : DecidableEq.{succ u2} σ] (p : MvPolynomial.{u2, u1} σ R _inst_1) (q : MvPolynomial.{u2, u1} σ R _inst_1), HasSubset.Subset.{u2} (Finset.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (Finset.hasSubset.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (SDiff.sdiff.{u2} (Finset.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (Finset.hasSdiff.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (fun (a : Finsupp.{u2, 0} σ Nat Nat.hasZero) (b : Finsupp.{u2, 0} σ Nat Nat.hasZero) => Finsupp.decidableEq.{u2, 0} σ Nat Nat.hasZero (fun (a : σ) (b : σ) => _inst_3 a b) (fun (a : Nat) (b : Nat) => Nat.decidableEq a b) a b)) (MvPolynomial.support.{u1, u2} R σ _inst_1 p) (MvPolynomial.support.{u1, u2} R σ _inst_1 q)) (MvPolynomial.support.{u1, u2} R σ _inst_1 (HAdd.hAdd.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (instHAdd.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Distrib.toHasAdd.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))) p q))
@@ -1405,6 +1419,11 @@ theorem ne_zero_iff {p : MvPolynomial σ R} : p ≠ 0 ↔ ∃ d, coeff d p ≠ 0
   push_neg
 #align mv_polynomial.ne_zero_iff MvPolynomial.ne_zero_iff
 
+@[simp]
+theorem support_eq_empty {p : MvPolynomial σ R} : p.support = ∅ ↔ p = 0 :=
+  Finsupp.support_eq_empty
+#align mv_polynomial.support_eq_empty MvPolynomial.support_eq_empty
+
 /- warning: mv_polynomial.exists_coeff_ne_zero -> MvPolynomial.exists_coeff_ne_zero is a dubious translation:
 lean 3 declaration is
   forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {p : MvPolynomial.{u2, u1} σ R _inst_1}, (Ne.{max (succ u2) (succ u1)} (MvPolynomial.{u2, u1} σ R _inst_1) p (OfNat.ofNat.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) 0 (OfNat.mk.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) 0 (Zero.zero.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MulZeroClass.toHasZero.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toMulZeroClass.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))))))))) -> (Exists.{succ u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (fun (d : Finsupp.{u2, 0} σ Nat Nat.hasZero) => Ne.{succ u1} R (MvPolynomial.coeff.{u1, u2} R σ _inst_1 d p) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))))))))
@@ -1502,12 +1521,12 @@ variable {R}
 
 /- warning: mv_polynomial.constant_coeff_smul -> MvPolynomial.constantCoeff_smul is a dubious translation:
 lean 3 declaration is
-  forall {R : Type.{u1}} {S₁ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] [_inst_3 : DistribMulAction.{u1, u2} R S₁ (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (AddMonoidWithOne.toAddMonoid.{u2} S₁ (AddCommMonoidWithOne.toAddMonoidWithOne.{u2} S₁ (NonAssocSemiring.toAddCommMonoidWithOne.{u2} S₁ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)))))] (a : R) (f : MvPolynomial.{u3, u2} σ S₁ _inst_2), Eq.{succ u2} S₁ (coeFn.{max (succ (max u3 u2)) (succ u2), max (succ (max u3 u2)) (succ u2)} (RingHom.{max u3 u2, u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (fun (_x : RingHom.{max u3 u2, u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) => (MvPolynomial.{u3, u2} σ S₁ _inst_2) -> S₁) (RingHom.hasCoeToFun.{max u3 u2, u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (MvPolynomial.constantCoeff.{u2, u3} S₁ σ _inst_2) (SMul.smul.{u1, max u3 u2} R (MvPolynomial.{u3, u2} σ S₁ _inst_2) (SMulZeroClass.toHasSmul.{u1, max u3 u2} R (MvPolynomial.{u3, u2} σ S₁ _inst_2) (AddZeroClass.toHasZero.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (AddMonoid.toAddZeroClass.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (AddMonoidWithOne.toAddMonoid.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (AddCommMonoidWithOne.toAddMonoidWithOne.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (NonAssocSemiring.toAddCommMonoidWithOne.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))))))) (DistribSMul.toSmulZeroClass.{u1, max u3 u2} R (MvPolynomial.{u3, u2} σ S₁ _inst_2) (AddMonoid.toAddZeroClass.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (AddMonoidWithOne.toAddMonoid.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (AddCommMonoidWithOne.toAddMonoidWithOne.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (NonAssocSemiring.toAddCommMonoidWithOne.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2))))))) (DistribMulAction.toDistribSMul.{u1, max u3 u2} R (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (AddMonoidWithOne.toAddMonoid.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (AddCommMonoidWithOne.toAddMonoidWithOne.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (NonAssocSemiring.toAddCommMonoidWithOne.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))))) (MvPolynomial.distribMulAction.{u1, u2, u3} R S₁ σ (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) _inst_2 _inst_3)))) a f)) (SMul.smul.{u1, u2} R S₁ (SMulZeroClass.toHasSmul.{u1, u2} R S₁ (AddZeroClass.toHasZero.{u2} S₁ (AddMonoid.toAddZeroClass.{u2} S₁ (AddMonoidWithOne.toAddMonoid.{u2} S₁ (AddCommMonoidWithOne.toAddMonoidWithOne.{u2} S₁ (NonAssocSemiring.toAddCommMonoidWithOne.{u2} S₁ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))))))) (DistribSMul.toSmulZeroClass.{u1, u2} R S₁ (AddMonoid.toAddZeroClass.{u2} S₁ (AddMonoidWithOne.toAddMonoid.{u2} S₁ (AddCommMonoidWithOne.toAddMonoidWithOne.{u2} S₁ (NonAssocSemiring.toAddCommMonoidWithOne.{u2} S₁ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)))))) (DistribMulAction.toDistribSMul.{u1, u2} R S₁ (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (AddMonoidWithOne.toAddMonoid.{u2} S₁ (AddCommMonoidWithOne.toAddMonoidWithOne.{u2} S₁ (NonAssocSemiring.toAddCommMonoidWithOne.{u2} S₁ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))))) _inst_3))) a (coeFn.{max (succ (max u3 u2)) (succ u2), max (succ (max u3 u2)) (succ u2)} (RingHom.{max u3 u2, u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (fun (_x : RingHom.{max u3 u2, u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) => (MvPolynomial.{u3, u2} σ S₁ _inst_2) -> S₁) (RingHom.hasCoeToFun.{max u3 u2, u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (MvPolynomial.constantCoeff.{u2, u3} S₁ σ _inst_2) f))
+  forall {S₁ : Type.{u1}} {σ : Type.{u2}} [_inst_2 : CommSemiring.{u1} S₁] {R : Type.{u3}} [_inst_3 : SMulZeroClass.{u3, u1} R S₁ (MulZeroClass.toHasZero.{u1} S₁ (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} S₁ (Semiring.toNonAssocSemiring.{u1} S₁ (CommSemiring.toSemiring.{u1} S₁ _inst_2)))))] (a : R) (f : MvPolynomial.{u2, u1} σ S₁ _inst_2), Eq.{succ u1} S₁ (coeFn.{max (succ (max u2 u1)) (succ u1), max (succ (max u2 u1)) (succ u1)} (RingHom.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u1, u2} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u1} S₁ (CommSemiring.toSemiring.{u1} S₁ _inst_2))) (fun (_x : RingHom.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u1, u2} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u1} S₁ (CommSemiring.toSemiring.{u1} S₁ _inst_2))) => (MvPolynomial.{u2, u1} σ S₁ _inst_2) -> S₁) (RingHom.hasCoeToFun.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u1, u2} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u1} S₁ (CommSemiring.toSemiring.{u1} S₁ _inst_2))) (MvPolynomial.constantCoeff.{u1, u2} S₁ σ _inst_2) (SMul.smul.{u3, max u2 u1} R (MvPolynomial.{u2, u1} σ S₁ _inst_2) (SMulZeroClass.toHasSmul.{u3, max u2 u1} R (MvPolynomial.{u2, u1} σ S₁ _inst_2) (MulZeroClass.toHasZero.{max u2 u1} (MvPolynomial.{u2, u1} σ S₁ _inst_2) (NonUnitalNonAssocSemiring.toMulZeroClass.{max u2 u1} (MvPolynomial.{u2, u1} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u1, u2} S₁ σ _inst_2)))))) (MvPolynomial.smulZeroClass.{u3, u1, u2} R S₁ σ _inst_2 _inst_3)) a f)) (SMul.smul.{u3, u1} R S₁ (SMulZeroClass.toHasSmul.{u3, u1} R S₁ (MulZeroClass.toHasZero.{u1} S₁ (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} S₁ (Semiring.toNonAssocSemiring.{u1} S₁ (CommSemiring.toSemiring.{u1} S₁ _inst_2))))) _inst_3) a (coeFn.{max (succ (max u2 u1)) (succ u1), max (succ (max u2 u1)) (succ u1)} (RingHom.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u1, u2} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u1} S₁ (CommSemiring.toSemiring.{u1} S₁ _inst_2))) (fun (_x : RingHom.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u1, u2} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u1} S₁ (CommSemiring.toSemiring.{u1} S₁ _inst_2))) => (MvPolynomial.{u2, u1} σ S₁ _inst_2) -> S₁) (RingHom.hasCoeToFun.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u1, u2} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u1} S₁ (CommSemiring.toSemiring.{u1} S₁ _inst_2))) (MvPolynomial.constantCoeff.{u1, u2} S₁ σ _inst_2) f))
 but is expected to have type
-  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] [_inst_3 : DistribMulAction.{u2, u3} R S₁ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddMonoidWithOne.toAddMonoid.{u3} S₁ (AddCommMonoidWithOne.toAddMonoidWithOne.{u3} S₁ (NonAssocSemiring.toAddCommMonoidWithOne.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))] (a : R) (f : MvPolynomial.{u1, u3} σ S₁ _inst_2), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u3} σ S₁ _inst_2) => S₁) (HSMul.hSMul.{u2, max u3 u1, max u3 u1} R (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (instHSMul.{u2, max u3 u1} R (MvPolynomial.{u1, u3} σ S₁ _inst_2) (SMulZeroClass.toSMul.{u2, max u3 u1} R (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommMonoidWithZero.toZero.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toCommMonoidWithZero.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (DistribSMul.toSMulZeroClass.{u2, max u3 u1} R (MvPolynomial.{u1, u3} σ S₁ _inst_2) (AddMonoid.toAddZeroClass.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (AddMonoidWithOne.toAddMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (AddCommMonoidWithOne.toAddMonoidWithOne.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toAddCommMonoidWithOne.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))))) (DistribMulAction.toDistribSMul.{u2, max u3 u1} R (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddMonoidWithOne.toAddMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (AddCommMonoidWithOne.toAddMonoidWithOne.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toAddCommMonoidWithOne.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))))) (MvPolynomial.distribuMulAction.{u2, u3, u1} R S₁ σ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) _inst_2 _inst_3))))) a f)) (FunLike.coe.{max (succ u1) (succ u3), max (succ u1) (succ u3), succ u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (fun (_x : MvPolynomial.{u1, u3} σ S₁ _inst_2) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u3} σ S₁ _inst_2) => S₁) _x) (MulHomClass.toFunLike.{max u1 u3, max u1 u3, u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (NonUnitalNonAssocSemiring.toMul.{max u1 u3} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u3, max u1 u3, u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u3, max u1 u3, u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{max u1 u3, u3} (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (MvPolynomial.constantCoeff.{u3, u1} S₁ σ _inst_2) (HSMul.hSMul.{u2, max u3 u1, max u3 u1} R (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (instHSMul.{u2, max u3 u1} R (MvPolynomial.{u1, u3} σ S₁ _inst_2) (SMulZeroClass.toSMul.{u2, max u3 u1} R (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommMonoidWithZero.toZero.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toCommMonoidWithZero.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (DistribSMul.toSMulZeroClass.{u2, max u3 u1} R (MvPolynomial.{u1, u3} σ S₁ _inst_2) (AddMonoid.toAddZeroClass.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (AddMonoidWithOne.toAddMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (AddCommMonoidWithOne.toAddMonoidWithOne.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toAddCommMonoidWithOne.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))))) (DistribMulAction.toDistribSMul.{u2, max u3 u1} R (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddMonoidWithOne.toAddMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (AddCommMonoidWithOne.toAddMonoidWithOne.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toAddCommMonoidWithOne.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))))) (MvPolynomial.distribuMulAction.{u2, u3, u1} R S₁ σ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) _inst_2 _inst_3))))) a f)) (HSMul.hSMul.{u2, u3, u3} R ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u3} σ S₁ _inst_2) => S₁) f) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u3} σ S₁ _inst_2) => S₁) f) (instHSMul.{u2, u3} R ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u3} σ S₁ _inst_2) => S₁) f) (SMulZeroClass.toSMul.{u2, u3} R ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u3} σ S₁ _inst_2) => S₁) f) (CommMonoidWithZero.toZero.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u3} σ S₁ _inst_2) => S₁) f) (CommSemiring.toCommMonoidWithZero.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u3} σ S₁ _inst_2) => S₁) f) _inst_2)) (DistribSMul.toSMulZeroClass.{u2, u3} R ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u3} σ S₁ _inst_2) => S₁) f) (AddMonoid.toAddZeroClass.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u3} σ S₁ _inst_2) => S₁) f) (AddMonoidWithOne.toAddMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u3} σ S₁ _inst_2) => S₁) f) (AddCommMonoidWithOne.toAddMonoidWithOne.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u3} σ S₁ _inst_2) => S₁) f) (NonAssocSemiring.toAddCommMonoidWithOne.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u3} σ S₁ _inst_2) => S₁) f) (Semiring.toNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u3} σ S₁ _inst_2) => S₁) f) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u3} σ S₁ _inst_2) => S₁) f) _inst_2)))))) (DistribMulAction.toDistribSMul.{u2, u3} R ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u3} σ S₁ _inst_2) => S₁) f) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddMonoidWithOne.toAddMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u3} σ S₁ _inst_2) => S₁) f) (AddCommMonoidWithOne.toAddMonoidWithOne.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u3} σ S₁ _inst_2) => S₁) f) (NonAssocSemiring.toAddCommMonoidWithOne.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u3} σ S₁ _inst_2) => S₁) f) (Semiring.toNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u3} σ S₁ _inst_2) => S₁) f) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u3} σ S₁ _inst_2) => S₁) f) _inst_2))))) _inst_3)))) a (FunLike.coe.{max (succ u1) (succ u3), max (succ u1) (succ u3), succ u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (fun (_x : MvPolynomial.{u1, u3} σ S₁ _inst_2) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u3} σ S₁ _inst_2) => S₁) _x) (MulHomClass.toFunLike.{max u1 u3, max u1 u3, u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (NonUnitalNonAssocSemiring.toMul.{max u1 u3} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u3, max u1 u3, u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u3, max u1 u3, u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{max u1 u3, u3} (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (MvPolynomial.constantCoeff.{u3, u1} S₁ σ _inst_2) f))
+  forall {S₁ : Type.{u2}} {σ : Type.{u3}} {_inst_2 : Type.{u1}} [R : CommSemiring.{u2} S₁] [_inst_3 : CommSemiring.{u3} σ] [a : DistribMulAction.{u2, u3} S₁ σ (MonoidWithZero.toMonoid.{u2} S₁ (Semiring.toMonoidWithZero.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ R))) (AddMonoidWithOne.toAddMonoid.{u3} σ (AddCommMonoidWithOne.toAddMonoidWithOne.{u3} σ (NonAssocSemiring.toAddCommMonoidWithOne.{u3} σ (Semiring.toNonAssocSemiring.{u3} σ (CommSemiring.toSemiring.{u3} σ _inst_3)))))] (f : S₁) (f_1 : MvPolynomial.{u1, u3} _inst_2 σ _inst_3), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u3} _inst_2 σ _inst_3) => σ) (HSMul.hSMul.{u2, max u3 u1, max u3 u1} S₁ (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) (instHSMul.{u2, max u3 u1} S₁ (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) (SMulZeroClass.toSMul.{u2, max u3 u1} S₁ (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) (CommMonoidWithZero.toZero.{max u3 u1} (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) (CommSemiring.toCommMonoidWithZero.{max u3 u1} (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) (MvPolynomial.commSemiring.{u3, u1} σ _inst_2 _inst_3))) (DistribSMul.toSMulZeroClass.{u2, max u3 u1} S₁ (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) (AddMonoid.toAddZeroClass.{max u3 u1} (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) (AddMonoidWithOne.toAddMonoid.{max u3 u1} (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) (AddCommMonoidWithOne.toAddMonoidWithOne.{max u3 u1} (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) (NonAssocSemiring.toAddCommMonoidWithOne.{max u3 u1} (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) (MvPolynomial.commSemiring.{u3, u1} σ _inst_2 _inst_3))))))) (DistribMulAction.toDistribSMul.{u2, max u3 u1} S₁ (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) (MonoidWithZero.toMonoid.{u2} S₁ (Semiring.toMonoidWithZero.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ R))) (AddMonoidWithOne.toAddMonoid.{max u3 u1} (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) (AddCommMonoidWithOne.toAddMonoidWithOne.{max u3 u1} (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) (NonAssocSemiring.toAddCommMonoidWithOne.{max u3 u1} (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) (MvPolynomial.commSemiring.{u3, u1} σ _inst_2 _inst_3)))))) (MvPolynomial.distribuMulAction.{u2, u3, u1} S₁ σ _inst_2 (MonoidWithZero.toMonoid.{u2} S₁ (Semiring.toMonoidWithZero.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ R))) _inst_3 a))))) f f_1)) (FunLike.coe.{max (succ u1) (succ u3), max (succ u1) (succ u3), succ u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) σ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) (MvPolynomial.commSemiring.{u3, u1} σ _inst_2 _inst_3))) (Semiring.toNonAssocSemiring.{u3} σ (CommSemiring.toSemiring.{u3} σ _inst_3))) (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) (fun (a : MvPolynomial.{u1, u3} _inst_2 σ _inst_3) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u3} _inst_2 σ _inst_3) => σ) a) (MulHomClass.toFunLike.{max u1 u3, max u1 u3, u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) σ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) (MvPolynomial.commSemiring.{u3, u1} σ _inst_2 _inst_3))) (Semiring.toNonAssocSemiring.{u3} σ (CommSemiring.toSemiring.{u3} σ _inst_3))) (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) σ (NonUnitalNonAssocSemiring.toMul.{max u1 u3} (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) (MvPolynomial.commSemiring.{u3, u1} σ _inst_2 _inst_3))))) (NonUnitalNonAssocSemiring.toMul.{u3} σ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} σ (Semiring.toNonAssocSemiring.{u3} σ (CommSemiring.toSemiring.{u3} σ _inst_3)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u3, max u1 u3, u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) σ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) (MvPolynomial.commSemiring.{u3, u1} σ _inst_2 _inst_3))) (Semiring.toNonAssocSemiring.{u3} σ (CommSemiring.toSemiring.{u3} σ _inst_3))) (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) σ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) (MvPolynomial.commSemiring.{u3, u1} σ _inst_2 _inst_3)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} σ (Semiring.toNonAssocSemiring.{u3} σ (CommSemiring.toSemiring.{u3} σ _inst_3))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u3, max u1 u3, u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) σ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) (MvPolynomial.commSemiring.{u3, u1} σ _inst_2 _inst_3))) (Semiring.toNonAssocSemiring.{u3} σ (CommSemiring.toSemiring.{u3} σ _inst_3))) (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) σ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) (MvPolynomial.commSemiring.{u3, u1} σ _inst_2 _inst_3))) (Semiring.toNonAssocSemiring.{u3} σ (CommSemiring.toSemiring.{u3} σ _inst_3)) (RingHom.instRingHomClassRingHom.{max u1 u3, u3} (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) σ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) (MvPolynomial.commSemiring.{u3, u1} σ _inst_2 _inst_3))) (Semiring.toNonAssocSemiring.{u3} σ (CommSemiring.toSemiring.{u3} σ _inst_3)))))) (MvPolynomial.constantCoeff.{u3, u1} σ _inst_2 _inst_3) (HSMul.hSMul.{u2, max u3 u1, max u3 u1} S₁ (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) (instHSMul.{u2, max u3 u1} S₁ (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) (SMulZeroClass.toSMul.{u2, max u3 u1} S₁ (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) (CommMonoidWithZero.toZero.{max u3 u1} (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) (CommSemiring.toCommMonoidWithZero.{max u3 u1} (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) (MvPolynomial.commSemiring.{u3, u1} σ _inst_2 _inst_3))) (DistribSMul.toSMulZeroClass.{u2, max u3 u1} S₁ (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) (AddMonoid.toAddZeroClass.{max u3 u1} (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) (AddMonoidWithOne.toAddMonoid.{max u3 u1} (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) (AddCommMonoidWithOne.toAddMonoidWithOne.{max u3 u1} (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) (NonAssocSemiring.toAddCommMonoidWithOne.{max u3 u1} (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) (MvPolynomial.commSemiring.{u3, u1} σ _inst_2 _inst_3))))))) (DistribMulAction.toDistribSMul.{u2, max u3 u1} S₁ (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) (MonoidWithZero.toMonoid.{u2} S₁ (Semiring.toMonoidWithZero.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ R))) (AddMonoidWithOne.toAddMonoid.{max u3 u1} (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) (AddCommMonoidWithOne.toAddMonoidWithOne.{max u3 u1} (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) (NonAssocSemiring.toAddCommMonoidWithOne.{max u3 u1} (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) (MvPolynomial.commSemiring.{u3, u1} σ _inst_2 _inst_3)))))) (MvPolynomial.distribuMulAction.{u2, u3, u1} S₁ σ _inst_2 (MonoidWithZero.toMonoid.{u2} S₁ (Semiring.toMonoidWithZero.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ R))) _inst_3 a))))) f f_1)) (HSMul.hSMul.{u2, u3, u3} S₁ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u3} _inst_2 σ _inst_3) => σ) f_1) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u3} _inst_2 σ _inst_3) => σ) f_1) (instHSMul.{u2, u3} S₁ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u3} _inst_2 σ _inst_3) => σ) f_1) (SMulZeroClass.toSMul.{u2, u3} S₁ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u3} _inst_2 σ _inst_3) => σ) f_1) (CommMonoidWithZero.toZero.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u3} _inst_2 σ _inst_3) => σ) f_1) (CommSemiring.toCommMonoidWithZero.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u3} _inst_2 σ _inst_3) => σ) f_1) _inst_3)) (DistribSMul.toSMulZeroClass.{u2, u3} S₁ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u3} _inst_2 σ _inst_3) => σ) f_1) (AddMonoid.toAddZeroClass.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u3} _inst_2 σ _inst_3) => σ) f_1) (AddMonoidWithOne.toAddMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u3} _inst_2 σ _inst_3) => σ) f_1) (AddCommMonoidWithOne.toAddMonoidWithOne.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u3} _inst_2 σ _inst_3) => σ) f_1) (NonAssocSemiring.toAddCommMonoidWithOne.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u3} _inst_2 σ _inst_3) => σ) f_1) (Semiring.toNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u3} _inst_2 σ _inst_3) => σ) f_1) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u3} _inst_2 σ _inst_3) => σ) f_1) _inst_3)))))) (DistribMulAction.toDistribSMul.{u2, u3} S₁ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u3} _inst_2 σ _inst_3) => σ) f_1) (MonoidWithZero.toMonoid.{u2} S₁ (Semiring.toMonoidWithZero.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ R))) (AddMonoidWithOne.toAddMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u3} _inst_2 σ _inst_3) => σ) f_1) (AddCommMonoidWithOne.toAddMonoidWithOne.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u3} _inst_2 σ _inst_3) => σ) f_1) (NonAssocSemiring.toAddCommMonoidWithOne.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u3} _inst_2 σ _inst_3) => σ) f_1) (Semiring.toNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u3} _inst_2 σ _inst_3) => σ) f_1) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u3} _inst_2 σ _inst_3) => σ) f_1) _inst_3))))) a)))) f (FunLike.coe.{max (succ u1) (succ u3), max (succ u1) (succ u3), succ u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) σ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) (MvPolynomial.commSemiring.{u3, u1} σ _inst_2 _inst_3))) (Semiring.toNonAssocSemiring.{u3} σ (CommSemiring.toSemiring.{u3} σ _inst_3))) (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) (fun (a : MvPolynomial.{u1, u3} _inst_2 σ _inst_3) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u3} _inst_2 σ _inst_3) => σ) a) (MulHomClass.toFunLike.{max u1 u3, max u1 u3, u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) σ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) (MvPolynomial.commSemiring.{u3, u1} σ _inst_2 _inst_3))) (Semiring.toNonAssocSemiring.{u3} σ (CommSemiring.toSemiring.{u3} σ _inst_3))) (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) σ (NonUnitalNonAssocSemiring.toMul.{max u1 u3} (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) (MvPolynomial.commSemiring.{u3, u1} σ _inst_2 _inst_3))))) (NonUnitalNonAssocSemiring.toMul.{u3} σ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} σ (Semiring.toNonAssocSemiring.{u3} σ (CommSemiring.toSemiring.{u3} σ _inst_3)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u3, max u1 u3, u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) σ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) (MvPolynomial.commSemiring.{u3, u1} σ _inst_2 _inst_3))) (Semiring.toNonAssocSemiring.{u3} σ (CommSemiring.toSemiring.{u3} σ _inst_3))) (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) σ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) (MvPolynomial.commSemiring.{u3, u1} σ _inst_2 _inst_3)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} σ (Semiring.toNonAssocSemiring.{u3} σ (CommSemiring.toSemiring.{u3} σ _inst_3))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u3, max u1 u3, u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) σ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) (MvPolynomial.commSemiring.{u3, u1} σ _inst_2 _inst_3))) (Semiring.toNonAssocSemiring.{u3} σ (CommSemiring.toSemiring.{u3} σ _inst_3))) (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) σ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) (MvPolynomial.commSemiring.{u3, u1} σ _inst_2 _inst_3))) (Semiring.toNonAssocSemiring.{u3} σ (CommSemiring.toSemiring.{u3} σ _inst_3)) (RingHom.instRingHomClassRingHom.{max u1 u3, u3} (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) σ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} _inst_2 σ _inst_3) (MvPolynomial.commSemiring.{u3, u1} σ _inst_2 _inst_3))) (Semiring.toNonAssocSemiring.{u3} σ (CommSemiring.toSemiring.{u3} σ _inst_3)))))) (MvPolynomial.constantCoeff.{u3, u1} σ _inst_2 _inst_3) f_1))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.constant_coeff_smul MvPolynomial.constantCoeff_smulₓ'. -/
 @[simp]
-theorem constantCoeff_smul [DistribMulAction R S₁] (a : R) (f : MvPolynomial σ S₁) :
+theorem constantCoeff_smul {R : Type _} [SMulZeroClass R S₁] (a : R) (f : MvPolynomial σ S₁) :
     constantCoeff (a • f) = a • constantCoeff f :=
   rfl
 #align mv_polynomial.constant_coeff_smul MvPolynomial.constantCoeff_smul
@@ -1999,7 +2018,7 @@ theorem eval_X : ∀ n, eval f (X n) = f n :=
 
 /- warning: mv_polynomial.smul_eval -> MvPolynomial.smul_eval is a dubious translation:
 lean 3 declaration is
-  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] (x : σ -> R) (p : MvPolynomial.{u2, u1} σ R _inst_1) (s : R), Eq.{succ u1} R (coeFn.{max (succ (max u2 u1)) (succ u1), max (succ (max u2 u1)) (succ u1)} (RingHom.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (fun (_x : RingHom.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) => (MvPolynomial.{u2, u1} σ R _inst_1) -> R) (RingHom.hasCoeToFun.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.eval.{u1, u2} R σ _inst_1 x) (SMul.smul.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (SMulZeroClass.toHasSmul.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (AddZeroClass.toHasZero.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))))))) (SMulWithZero.toSmulZeroClass.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))))))) (MulActionWithZero.toSMulWithZero.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))))))) (Module.toMulActionWithZero.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))))) s p)) (HMul.hMul.{u1, u1, u1} R R R (instHMul.{u1} R (Distrib.toHasMul.{u1} R (NonUnitalNonAssocSemiring.toDistrib.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))) s (coeFn.{max (succ (max u2 u1)) (succ u1), max (succ (max u2 u1)) (succ u1)} (RingHom.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (fun (_x : RingHom.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) => (MvPolynomial.{u2, u1} σ R _inst_1) -> R) (RingHom.hasCoeToFun.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.eval.{u1, u2} R σ _inst_1 x) p))
+  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] (x : σ -> R) (p : MvPolynomial.{u2, u1} σ R _inst_1) (s : R), Eq.{succ u1} R (coeFn.{max (succ (max u2 u1)) (succ u1), max (succ (max u2 u1)) (succ u1)} (RingHom.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (fun (_x : RingHom.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) => (MvPolynomial.{u2, u1} σ R _inst_1) -> R) (RingHom.hasCoeToFun.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.eval.{u1, u2} R σ _inst_1 x) (SMul.smul.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (SMulZeroClass.toHasSmul.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (MulZeroClass.toHasZero.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toMulZeroClass.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))))) (MvPolynomial.smulZeroClass.{u1, u1, u2} R R σ _inst_1 (SMulWithZero.toSmulZeroClass.{u1, u1} R R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (MulZeroClass.toSMulWithZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))))) s p)) (HMul.hMul.{u1, u1, u1} R R R (instHMul.{u1} R (Distrib.toHasMul.{u1} R (NonUnitalNonAssocSemiring.toDistrib.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))) s (coeFn.{max (succ (max u2 u1)) (succ u1), max (succ (max u2 u1)) (succ u1)} (RingHom.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (fun (_x : RingHom.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) => (MvPolynomial.{u2, u1} σ R _inst_1) -> R) (RingHom.hasCoeToFun.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.eval.{u1, u2} R σ _inst_1 x) p))
 but is expected to have type
   forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] (x : σ -> R) (p : MvPolynomial.{u1, u2} σ R _inst_1) (s : R), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) (HSMul.hSMul.{u2, max u2 u1, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (instHSMul.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Algebra.toSMul.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) s p)) (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), succ u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) _x) (MulHomClass.toFunLike.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (RingHom.instRingHomClassRingHom.{max u1 u2, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))))) (MvPolynomial.eval.{u2, u1} R σ _inst_1 x) (HSMul.hSMul.{u2, max u2 u1, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (instHSMul.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Algebra.toSMul.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) s p)) (HMul.hMul.{u2, u2, u2} R ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) R (instHMul.{u2} R (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) s (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), succ u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) _x) (MulHomClass.toFunLike.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (RingHom.instRingHomClassRingHom.{max u1 u2, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))))) (MvPolynomial.eval.{u2, u1} R σ _inst_1 x) p))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.smul_eval MvPolynomial.smul_evalₓ'. -/
@@ -2857,7 +2876,7 @@ theorem aevalTower_comp_algebraMap :
 
 /- warning: mv_polynomial.aeval_tower_to_alg_hom -> MvPolynomial.aevalTower_toAlgHom is a dubious translation:
 lean 3 declaration is
-  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {S : Type.{u3}} {A : Type.{u4}} [_inst_3 : CommSemiring.{u3} S] [_inst_4 : CommSemiring.{u4} A] [_inst_6 : Algebra.{u3, u1} S R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_1)] [_inst_7 : Algebra.{u3, u4} S A _inst_3 (CommSemiring.toSemiring.{u4} A _inst_4)] (g : AlgHom.{u3, u1, u4} S R A _inst_3 (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u4} A _inst_4) _inst_6 _inst_7) (y : σ -> A) (x : R), Eq.{succ u4} A (coeFn.{max (succ (max u2 u1)) (succ u4), max (succ (max u2 u1)) (succ u4)} (AlgHom.{u3, max u2 u1, u4} S (MvPolynomial.{u2, u1} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u4} A _inst_4) (MvPolynomial.algebra.{u3, u1, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) (fun (_x : AlgHom.{u3, max u2 u1, u4} S (MvPolynomial.{u2, u1} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u4} A _inst_4) (MvPolynomial.algebra.{u3, u1, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) => (MvPolynomial.{u2, u1} σ R _inst_1) -> A) ([anonymous].{u3, max u2 u1, u4} S (MvPolynomial.{u2, u1} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u4} A _inst_4) (MvPolynomial.algebra.{u3, u1, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) (MvPolynomial.aevalTower.{u1, u2, u3, u4} R σ _inst_1 S A _inst_3 _inst_4 _inst_6 _inst_7 g y) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (AlgHom.{u3, u1, max u2 u1} S R (MvPolynomial.{u2, u1} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) _inst_6 (MvPolynomial.algebra.{u3, u1, u2} S R σ _inst_3 _inst_1 _inst_6)) (fun (_x : AlgHom.{u3, u1, max u2 u1} S R (MvPolynomial.{u2, u1} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) _inst_6 (MvPolynomial.algebra.{u3, u1, u2} S R σ _inst_3 _inst_1 _inst_6)) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) ([anonymous].{u3, u1, max u2 u1} S R (MvPolynomial.{u2, u1} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) _inst_6 (MvPolynomial.algebra.{u3, u1, u2} S R σ _inst_3 _inst_1 _inst_6)) (IsScalarTower.toAlgHom.{u3, u1, max u2 u1} S R (MvPolynomial.{u2, u1} σ R _inst_1) _inst_3 _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) _inst_6 (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) (MvPolynomial.algebra.{u3, u1, u2} S R σ _inst_3 _inst_1 _inst_6) (MvPolynomial.isScalarTower.{u3, u1, u1, u2} S R R σ (MonoidWithZero.toMonoid.{u3} S (Semiring.toMonoidWithZero.{u3} S (CommSemiring.toSemiring.{u3} S _inst_3))) (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) _inst_1 (SMulZeroClass.toHasSmul.{u3, u1} S R (AddZeroClass.toHasZero.{u1} R (AddMonoid.toAddZeroClass.{u1} R (AddCommMonoid.toAddMonoid.{u1} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))))) (SMulWithZero.toSmulZeroClass.{u3, u1} S R (MulZeroClass.toHasZero.{u3} S (MulZeroOneClass.toMulZeroClass.{u3} S (MonoidWithZero.toMulZeroOneClass.{u3} S (Semiring.toMonoidWithZero.{u3} S (CommSemiring.toSemiring.{u3} S _inst_3))))) (AddZeroClass.toHasZero.{u1} R (AddMonoid.toAddZeroClass.{u1} R (AddCommMonoid.toAddMonoid.{u1} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))))) (MulActionWithZero.toSMulWithZero.{u3, u1} S R (Semiring.toMonoidWithZero.{u3} S (CommSemiring.toSemiring.{u3} S _inst_3)) (AddZeroClass.toHasZero.{u1} R (AddMonoid.toAddZeroClass.{u1} R (AddCommMonoid.toAddMonoid.{u1} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))))) (Module.toMulActionWithZero.{u3, u1} S R (CommSemiring.toSemiring.{u3} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (Algebra.toModule.{u3, u1} S R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_1) _inst_6))))) (Module.toDistribMulAction.{u3, u1} S R (CommSemiring.toSemiring.{u3} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (Algebra.toModule.{u3, u1} S R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_1) _inst_6)) (Module.toDistribMulAction.{u1, u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (IsScalarTower.right.{u3, u1} S R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_1) _inst_6))) x)) (coeFn.{max (succ u1) (succ u4), max (succ u1) (succ u4)} (AlgHom.{u3, u1, u4} S R A _inst_3 (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u4} A _inst_4) _inst_6 _inst_7) (fun (_x : AlgHom.{u3, u1, u4} S R A _inst_3 (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u4} A _inst_4) _inst_6 _inst_7) => R -> A) ([anonymous].{u3, u1, u4} S R A _inst_3 (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u4} A _inst_4) _inst_6 _inst_7) g x)
+  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {S : Type.{u3}} {A : Type.{u4}} [_inst_3 : CommSemiring.{u3} S] [_inst_4 : CommSemiring.{u4} A] [_inst_6 : Algebra.{u3, u1} S R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_1)] [_inst_7 : Algebra.{u3, u4} S A _inst_3 (CommSemiring.toSemiring.{u4} A _inst_4)] (g : AlgHom.{u3, u1, u4} S R A _inst_3 (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u4} A _inst_4) _inst_6 _inst_7) (y : σ -> A) (x : R), Eq.{succ u4} A (coeFn.{max (succ (max u2 u1)) (succ u4), max (succ (max u2 u1)) (succ u4)} (AlgHom.{u3, max u2 u1, u4} S (MvPolynomial.{u2, u1} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u4} A _inst_4) (MvPolynomial.algebra.{u3, u1, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) (fun (_x : AlgHom.{u3, max u2 u1, u4} S (MvPolynomial.{u2, u1} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u4} A _inst_4) (MvPolynomial.algebra.{u3, u1, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) => (MvPolynomial.{u2, u1} σ R _inst_1) -> A) ([anonymous].{u3, max u2 u1, u4} S (MvPolynomial.{u2, u1} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u4} A _inst_4) (MvPolynomial.algebra.{u3, u1, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) (MvPolynomial.aevalTower.{u1, u2, u3, u4} R σ _inst_1 S A _inst_3 _inst_4 _inst_6 _inst_7 g y) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (AlgHom.{u3, u1, max u2 u1} S R (MvPolynomial.{u2, u1} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) _inst_6 (MvPolynomial.algebra.{u3, u1, u2} S R σ _inst_3 _inst_1 _inst_6)) (fun (_x : AlgHom.{u3, u1, max u2 u1} S R (MvPolynomial.{u2, u1} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) _inst_6 (MvPolynomial.algebra.{u3, u1, u2} S R σ _inst_3 _inst_1 _inst_6)) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) ([anonymous].{u3, u1, max u2 u1} S R (MvPolynomial.{u2, u1} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) _inst_6 (MvPolynomial.algebra.{u3, u1, u2} S R σ _inst_3 _inst_1 _inst_6)) (IsScalarTower.toAlgHom.{u3, u1, max u2 u1} S R (MvPolynomial.{u2, u1} σ R _inst_1) _inst_3 _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) _inst_6 (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) (MvPolynomial.algebra.{u3, u1, u2} S R σ _inst_3 _inst_1 _inst_6) (MvPolynomial.isScalarTower.{u3, u1, u1, u2} S R R σ _inst_1 (SMulZeroClass.toHasSmul.{u3, u1} S R (AddZeroClass.toHasZero.{u1} R (AddMonoid.toAddZeroClass.{u1} R (AddCommMonoid.toAddMonoid.{u1} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))))) (SMulWithZero.toSmulZeroClass.{u3, u1} S R (MulZeroClass.toHasZero.{u3} S (MulZeroOneClass.toMulZeroClass.{u3} S (MonoidWithZero.toMulZeroOneClass.{u3} S (Semiring.toMonoidWithZero.{u3} S (CommSemiring.toSemiring.{u3} S _inst_3))))) (AddZeroClass.toHasZero.{u1} R (AddMonoid.toAddZeroClass.{u1} R (AddCommMonoid.toAddMonoid.{u1} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))))) (MulActionWithZero.toSMulWithZero.{u3, u1} S R (Semiring.toMonoidWithZero.{u3} S (CommSemiring.toSemiring.{u3} S _inst_3)) (AddZeroClass.toHasZero.{u1} R (AddMonoid.toAddZeroClass.{u1} R (AddCommMonoid.toAddMonoid.{u1} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))))) (Module.toMulActionWithZero.{u3, u1} S R (CommSemiring.toSemiring.{u3} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (Algebra.toModule.{u3, u1} S R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_1) _inst_6))))) (SMulWithZero.toSmulZeroClass.{u3, u1} S R (MulZeroClass.toHasZero.{u3} S (MulZeroOneClass.toMulZeroClass.{u3} S (MonoidWithZero.toMulZeroOneClass.{u3} S (Semiring.toMonoidWithZero.{u3} S (CommSemiring.toSemiring.{u3} S _inst_3))))) (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (MulActionWithZero.toSMulWithZero.{u3, u1} S R (Semiring.toMonoidWithZero.{u3} S (CommSemiring.toSemiring.{u3} S _inst_3)) (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (Module.toMulActionWithZero.{u3, u1} S R (CommSemiring.toSemiring.{u3} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (Algebra.toModule.{u3, u1} S R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_1) _inst_6)))) (SMulWithZero.toSmulZeroClass.{u1, u1} R R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (MulZeroClass.toSMulWithZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))) (IsScalarTower.right.{u3, u1} S R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_1) _inst_6))) x)) (coeFn.{max (succ u1) (succ u4), max (succ u1) (succ u4)} (AlgHom.{u3, u1, u4} S R A _inst_3 (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u4} A _inst_4) _inst_6 _inst_7) (fun (_x : AlgHom.{u3, u1, u4} S R A _inst_3 (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u4} A _inst_4) _inst_6 _inst_7) => R -> A) ([anonymous].{u3, u1, u4} S R A _inst_3 (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u4} A _inst_4) _inst_6 _inst_7) g x)
 but is expected to have type
   forall {R : Type.{u4}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u4} R] {S : Type.{u1}} {A : Type.{u3}} [_inst_3 : CommSemiring.{u1} S] [_inst_4 : CommSemiring.{u3} A] [_inst_6 : Algebra.{u1, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1)] [_inst_7 : Algebra.{u1, u3} S A _inst_3 (CommSemiring.toSemiring.{u3} A _inst_4)] (g : AlgHom.{u1, u4, u3} S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7) (y : σ -> A) (x : R), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u2, u4} σ R _inst_1) => A) (FunLike.coe.{max (succ u4) (succ u2), succ u4, max (succ u4) (succ u2)} (AlgHom.{u1, u4, max u4 u2} S R (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) _inst_6 (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6)) R (fun (a : R) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : R) => MvPolynomial.{u2, u4} σ R _inst_1) a) (SMulHomClass.toFunLike.{max u4 u2, u1, u4, max u4 u2} (AlgHom.{u1, u4, max u4 u2} S R (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) _inst_6 (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6)) S R (MvPolynomial.{u2, u4} σ R _inst_1) (SMulZeroClass.toSMul.{u1, u4} S R (AddMonoid.toZero.{u4} R (AddCommMonoid.toAddMonoid.{u4} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))))) (DistribSMul.toSMulZeroClass.{u1, u4} S R (AddMonoid.toAddZeroClass.{u4} R (AddCommMonoid.toAddMonoid.{u4} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))))) (DistribMulAction.toDistribSMul.{u1, u4} S R (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (AddCommMonoid.toAddMonoid.{u4} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))))) (Module.toDistribMulAction.{u1, u4} S R (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (Algebra.toModule.{u1, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) _inst_6))))) (SMulZeroClass.toSMul.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (AddMonoid.toZero.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))))) (DistribSMul.toSMulZeroClass.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))))) (DistribMulAction.toDistribSMul.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (AddCommMonoid.toAddMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))))) (Module.toDistribMulAction.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))) (Algebra.toModule.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6)))))) (DistribMulActionHomClass.toSMulHomClass.{max u4 u2, u1, u4, max u4 u2} (AlgHom.{u1, u4, max u4 u2} S R (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) _inst_6 (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6)) S R (MvPolynomial.{u2, u4} σ R _inst_1) (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (AddCommMonoid.toAddMonoid.{u4} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))))) (AddCommMonoid.toAddMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))))) (Module.toDistribMulAction.{u1, u4} S R (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (Algebra.toModule.{u1, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) _inst_6)) (Module.toDistribMulAction.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))) (Algebra.toModule.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6))) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max u4 u2, u1, u4, max u4 u2} (AlgHom.{u1, u4, max u4 u2} S R (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) _inst_6 (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6)) S R (MvPolynomial.{u2, u4} σ R _inst_1) (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))) (Module.toDistribMulAction.{u1, u4} S R (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (Algebra.toModule.{u1, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) _inst_6)) (Module.toDistribMulAction.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))) (Algebra.toModule.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6))) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u1, u4, max u4 u2, max u4 u2} S R (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) _inst_6 (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) (AlgHom.{u1, u4, max u4 u2} S R (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) _inst_6 (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6)) (AlgHom.algHomClass.{u1, u4, max u4 u2} S R (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) _inst_6 (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6)))))) (IsScalarTower.toAlgHom.{u1, u4, max u4 u2} S R (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 _inst_1 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) _inst_6 (MvPolynomial.algebra.{u4, u4, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u4} R _inst_1)) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) (MvPolynomial.isScalarTower.{u1, u4, u4, u2} S R R σ (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (MonoidWithZero.toMonoid.{u4} R (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) _inst_1 (Algebra.toSMul.{u1, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) _inst_6) (Module.toDistribMulAction.{u1, u4} S R (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (Algebra.toModule.{u1, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) _inst_6)) (Module.toDistribMulAction.{u4, u4} R R (CommSemiring.toSemiring.{u4} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (Semiring.toModule.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (IsScalarTower.right.{u1, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) _inst_6))) x)) (FunLike.coe.{max (max (succ u4) (succ u2)) (succ u3), max (succ u4) (succ u2), succ u3} (AlgHom.{u1, max u4 u2, u3} S (MvPolynomial.{u2, u4} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u3} A _inst_4) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) (MvPolynomial.{u2, u4} σ R _inst_1) (fun (_x : MvPolynomial.{u2, u4} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u2, u4} σ R _inst_1) => A) _x) (SMulHomClass.toFunLike.{max (max u4 u2) u3, u1, max u4 u2, u3} (AlgHom.{u1, max u4 u2, u3} S (MvPolynomial.{u2, u4} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u3} A _inst_4) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) S (MvPolynomial.{u2, u4} σ R _inst_1) A (SMulZeroClass.toSMul.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (AddMonoid.toZero.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))))) (DistribSMul.toSMulZeroClass.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))))) (DistribMulAction.toDistribSMul.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (AddCommMonoid.toAddMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))))) (Module.toDistribMulAction.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))) (Algebra.toModule.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6)))))) (SMulZeroClass.toSMul.{u1, u3} S A (AddMonoid.toZero.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))))) (DistribSMul.toSMulZeroClass.{u1, u3} S A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))))) (DistribMulAction.toDistribSMul.{u1, u3} S A (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4))))) (Module.toDistribMulAction.{u1, u3} S A (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))) (Algebra.toModule.{u1, u3} S A _inst_3 (CommSemiring.toSemiring.{u3} A _inst_4) _inst_7))))) (DistribMulActionHomClass.toSMulHomClass.{max (max u4 u2) u3, u1, max u4 u2, u3} (AlgHom.{u1, max u4 u2, u3} S (MvPolynomial.{u2, u4} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u3} A _inst_4) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) S (MvPolynomial.{u2, u4} σ R _inst_1) A (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (AddCommMonoid.toAddMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))))) (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4))))) (Module.toDistribMulAction.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))) (Algebra.toModule.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6))) (Module.toDistribMulAction.{u1, u3} S A (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))) (Algebra.toModule.{u1, u3} S A _inst_3 (CommSemiring.toSemiring.{u3} A _inst_4) _inst_7)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max (max u4 u2) u3, u1, max u4 u2, u3} (AlgHom.{u1, max u4 u2, u3} S (MvPolynomial.{u2, u4} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u3} A _inst_4) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) S (MvPolynomial.{u2, u4} σ R _inst_1) A (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4))) (Module.toDistribMulAction.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))) (Algebra.toModule.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6))) (Module.toDistribMulAction.{u1, u3} S A (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))) (Algebra.toModule.{u1, u3} S A _inst_3 (CommSemiring.toSemiring.{u3} A _inst_4) _inst_7)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u1, max u4 u2, u3, max (max u4 u2) u3} S (MvPolynomial.{u2, u4} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u3} A _inst_4) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7 (AlgHom.{u1, max u4 u2, u3} S (MvPolynomial.{u2, u4} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u3} A _inst_4) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) (AlgHom.algHomClass.{u1, max u4 u2, u3} S (MvPolynomial.{u2, u4} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u3} A _inst_4) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7))))) (MvPolynomial.aevalTower.{u4, u2, u1, u3} R σ _inst_1 S A _inst_3 _inst_4 _inst_6 _inst_7 g y) (FunLike.coe.{max (succ u4) (succ u2), succ u4, max (succ u4) (succ u2)} (AlgHom.{u1, u4, max u4 u2} S R (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) _inst_6 (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : R) => MvPolynomial.{u2, u4} σ R _inst_1) _x) (SMulHomClass.toFunLike.{max u4 u2, u1, u4, max u4 u2} (AlgHom.{u1, u4, max u4 u2} S R (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) _inst_6 (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6)) S R (MvPolynomial.{u2, u4} σ R _inst_1) (SMulZeroClass.toSMul.{u1, u4} S R (AddMonoid.toZero.{u4} R (AddCommMonoid.toAddMonoid.{u4} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))))) (DistribSMul.toSMulZeroClass.{u1, u4} S R (AddMonoid.toAddZeroClass.{u4} R (AddCommMonoid.toAddMonoid.{u4} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))))) (DistribMulAction.toDistribSMul.{u1, u4} S R (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (AddCommMonoid.toAddMonoid.{u4} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))))) (Module.toDistribMulAction.{u1, u4} S R (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (Algebra.toModule.{u1, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) _inst_6))))) (SMulZeroClass.toSMul.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (AddMonoid.toZero.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))))) (DistribSMul.toSMulZeroClass.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))))) (DistribMulAction.toDistribSMul.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (AddCommMonoid.toAddMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))))) (Module.toDistribMulAction.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))) (Algebra.toModule.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6)))))) (DistribMulActionHomClass.toSMulHomClass.{max u4 u2, u1, u4, max u4 u2} (AlgHom.{u1, u4, max u4 u2} S R (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) _inst_6 (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6)) S R (MvPolynomial.{u2, u4} σ R _inst_1) (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (AddCommMonoid.toAddMonoid.{u4} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))))) (AddCommMonoid.toAddMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))))) (Module.toDistribMulAction.{u1, u4} S R (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (Algebra.toModule.{u1, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) _inst_6)) (Module.toDistribMulAction.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))) (Algebra.toModule.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6))) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max u4 u2, u1, u4, max u4 u2} (AlgHom.{u1, u4, max u4 u2} S R (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) _inst_6 (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6)) S R (MvPolynomial.{u2, u4} σ R _inst_1) (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))) (Module.toDistribMulAction.{u1, u4} S R (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (Algebra.toModule.{u1, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) _inst_6)) (Module.toDistribMulAction.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))) (Algebra.toModule.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6))) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u1, u4, max u4 u2, max u4 u2} S R (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) _inst_6 (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) (AlgHom.{u1, u4, max u4 u2} S R (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) _inst_6 (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6)) (AlgHom.algHomClass.{u1, u4, max u4 u2} S R (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) _inst_6 (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6)))))) (IsScalarTower.toAlgHom.{u1, u4, max u4 u2} S R (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 _inst_1 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) _inst_6 (MvPolynomial.algebra.{u4, u4, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u4} R _inst_1)) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) (MvPolynomial.isScalarTower.{u1, u4, u4, u2} S R R σ (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (MonoidWithZero.toMonoid.{u4} R (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) _inst_1 (Algebra.toSMul.{u1, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) _inst_6) (Module.toDistribMulAction.{u1, u4} S R (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (Algebra.toModule.{u1, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) _inst_6)) (Module.toDistribMulAction.{u4, u4} R R (CommSemiring.toSemiring.{u4} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (Semiring.toModule.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (IsScalarTower.right.{u1, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) _inst_6))) x)) (FunLike.coe.{max (succ u4) (succ u3), succ u4, succ u3} (AlgHom.{u1, u4, u3} S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : R) => A) _x) (SMulHomClass.toFunLike.{max u4 u3, u1, u4, u3} (AlgHom.{u1, u4, u3} S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7) S R A (SMulZeroClass.toSMul.{u1, u4} S R (AddMonoid.toZero.{u4} R (AddCommMonoid.toAddMonoid.{u4} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))))) (DistribSMul.toSMulZeroClass.{u1, u4} S R (AddMonoid.toAddZeroClass.{u4} R (AddCommMonoid.toAddMonoid.{u4} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))))) (DistribMulAction.toDistribSMul.{u1, u4} S R (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (AddCommMonoid.toAddMonoid.{u4} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))))) (Module.toDistribMulAction.{u1, u4} S R (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (Algebra.toModule.{u1, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) _inst_6))))) (SMulZeroClass.toSMul.{u1, u3} S A (AddMonoid.toZero.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))))) (DistribSMul.toSMulZeroClass.{u1, u3} S A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))))) (DistribMulAction.toDistribSMul.{u1, u3} S A (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4))))) (Module.toDistribMulAction.{u1, u3} S A (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))) (Algebra.toModule.{u1, u3} S A _inst_3 (CommSemiring.toSemiring.{u3} A _inst_4) _inst_7))))) (DistribMulActionHomClass.toSMulHomClass.{max u4 u3, u1, u4, u3} (AlgHom.{u1, u4, u3} S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7) S R A (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (AddCommMonoid.toAddMonoid.{u4} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))))) (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4))))) (Module.toDistribMulAction.{u1, u4} S R (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (Algebra.toModule.{u1, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) _inst_6)) (Module.toDistribMulAction.{u1, u3} S A (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))) (Algebra.toModule.{u1, u3} S A _inst_3 (CommSemiring.toSemiring.{u3} A _inst_4) _inst_7)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max u4 u3, u1, u4, u3} (AlgHom.{u1, u4, u3} S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7) S R A (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4))) (Module.toDistribMulAction.{u1, u4} S R (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (Algebra.toModule.{u1, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) _inst_6)) (Module.toDistribMulAction.{u1, u3} S A (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))) (Algebra.toModule.{u1, u3} S A _inst_3 (CommSemiring.toSemiring.{u3} A _inst_4) _inst_7)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u1, u4, u3, max u4 u3} S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7 (AlgHom.{u1, u4, u3} S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7) (AlgHom.algHomClass.{u1, u4, u3} S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7))))) g x)
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.aeval_tower_to_alg_hom MvPolynomial.aevalTower_toAlgHomₓ'. -/
@@ -2868,7 +2887,7 @@ theorem aevalTower_toAlgHom (x : R) :
 
 /- warning: mv_polynomial.aeval_tower_comp_to_alg_hom -> MvPolynomial.aevalTower_comp_toAlgHom is a dubious translation:
 lean 3 declaration is
-  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {S : Type.{u3}} {A : Type.{u4}} [_inst_3 : CommSemiring.{u3} S] [_inst_4 : CommSemiring.{u4} A] [_inst_6 : Algebra.{u3, u1} S R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_1)] [_inst_7 : Algebra.{u3, u4} S A _inst_3 (CommSemiring.toSemiring.{u4} A _inst_4)] (g : AlgHom.{u3, u1, u4} S R A _inst_3 (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u4} A _inst_4) _inst_6 _inst_7) (y : σ -> A), Eq.{max (succ u1) (succ u4)} (AlgHom.{u3, u1, u4} S R A _inst_3 (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u4} A _inst_4) _inst_6 _inst_7) (AlgHom.comp.{u3, u1, max u2 u1, u4} S R (MvPolynomial.{u2, u1} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u4} A _inst_4) _inst_6 (MvPolynomial.algebra.{u3, u1, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7 (MvPolynomial.aevalTower.{u1, u2, u3, u4} R σ _inst_1 S A _inst_3 _inst_4 _inst_6 _inst_7 g y) (IsScalarTower.toAlgHom.{u3, u1, max u2 u1} S R (MvPolynomial.{u2, u1} σ R _inst_1) _inst_3 _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) _inst_6 (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) (MvPolynomial.algebra.{u3, u1, u2} S R σ _inst_3 _inst_1 _inst_6) (MvPolynomial.isScalarTower.{u3, u1, u1, u2} S R R σ (MonoidWithZero.toMonoid.{u3} S (Semiring.toMonoidWithZero.{u3} S (CommSemiring.toSemiring.{u3} S _inst_3))) (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) _inst_1 (SMulZeroClass.toHasSmul.{u3, u1} S R (AddZeroClass.toHasZero.{u1} R (AddMonoid.toAddZeroClass.{u1} R (AddCommMonoid.toAddMonoid.{u1} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))))) (SMulWithZero.toSmulZeroClass.{u3, u1} S R (MulZeroClass.toHasZero.{u3} S (MulZeroOneClass.toMulZeroClass.{u3} S (MonoidWithZero.toMulZeroOneClass.{u3} S (Semiring.toMonoidWithZero.{u3} S (CommSemiring.toSemiring.{u3} S _inst_3))))) (AddZeroClass.toHasZero.{u1} R (AddMonoid.toAddZeroClass.{u1} R (AddCommMonoid.toAddMonoid.{u1} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))))) (MulActionWithZero.toSMulWithZero.{u3, u1} S R (Semiring.toMonoidWithZero.{u3} S (CommSemiring.toSemiring.{u3} S _inst_3)) (AddZeroClass.toHasZero.{u1} R (AddMonoid.toAddZeroClass.{u1} R (AddCommMonoid.toAddMonoid.{u1} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))))) (Module.toMulActionWithZero.{u3, u1} S R (CommSemiring.toSemiring.{u3} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (Algebra.toModule.{u3, u1} S R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_1) _inst_6))))) (Module.toDistribMulAction.{u3, u1} S R (CommSemiring.toSemiring.{u3} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (Algebra.toModule.{u3, u1} S R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_1) _inst_6)) (Module.toDistribMulAction.{u1, u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (IsScalarTower.right.{u3, u1} S R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_1) _inst_6)))) g
+  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {S : Type.{u3}} {A : Type.{u4}} [_inst_3 : CommSemiring.{u3} S] [_inst_4 : CommSemiring.{u4} A] [_inst_6 : Algebra.{u3, u1} S R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_1)] [_inst_7 : Algebra.{u3, u4} S A _inst_3 (CommSemiring.toSemiring.{u4} A _inst_4)] (g : AlgHom.{u3, u1, u4} S R A _inst_3 (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u4} A _inst_4) _inst_6 _inst_7) (y : σ -> A), Eq.{max (succ u1) (succ u4)} (AlgHom.{u3, u1, u4} S R A _inst_3 (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u4} A _inst_4) _inst_6 _inst_7) (AlgHom.comp.{u3, u1, max u2 u1, u4} S R (MvPolynomial.{u2, u1} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u4} A _inst_4) _inst_6 (MvPolynomial.algebra.{u3, u1, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7 (MvPolynomial.aevalTower.{u1, u2, u3, u4} R σ _inst_1 S A _inst_3 _inst_4 _inst_6 _inst_7 g y) (IsScalarTower.toAlgHom.{u3, u1, max u2 u1} S R (MvPolynomial.{u2, u1} σ R _inst_1) _inst_3 _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) _inst_6 (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) (MvPolynomial.algebra.{u3, u1, u2} S R σ _inst_3 _inst_1 _inst_6) (MvPolynomial.isScalarTower.{u3, u1, u1, u2} S R R σ _inst_1 (SMulZeroClass.toHasSmul.{u3, u1} S R (AddZeroClass.toHasZero.{u1} R (AddMonoid.toAddZeroClass.{u1} R (AddCommMonoid.toAddMonoid.{u1} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))))) (SMulWithZero.toSmulZeroClass.{u3, u1} S R (MulZeroClass.toHasZero.{u3} S (MulZeroOneClass.toMulZeroClass.{u3} S (MonoidWithZero.toMulZeroOneClass.{u3} S (Semiring.toMonoidWithZero.{u3} S (CommSemiring.toSemiring.{u3} S _inst_3))))) (AddZeroClass.toHasZero.{u1} R (AddMonoid.toAddZeroClass.{u1} R (AddCommMonoid.toAddMonoid.{u1} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))))) (MulActionWithZero.toSMulWithZero.{u3, u1} S R (Semiring.toMonoidWithZero.{u3} S (CommSemiring.toSemiring.{u3} S _inst_3)) (AddZeroClass.toHasZero.{u1} R (AddMonoid.toAddZeroClass.{u1} R (AddCommMonoid.toAddMonoid.{u1} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))))) (Module.toMulActionWithZero.{u3, u1} S R (CommSemiring.toSemiring.{u3} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (Algebra.toModule.{u3, u1} S R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_1) _inst_6))))) (SMulWithZero.toSmulZeroClass.{u3, u1} S R (MulZeroClass.toHasZero.{u3} S (MulZeroOneClass.toMulZeroClass.{u3} S (MonoidWithZero.toMulZeroOneClass.{u3} S (Semiring.toMonoidWithZero.{u3} S (CommSemiring.toSemiring.{u3} S _inst_3))))) (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (MulActionWithZero.toSMulWithZero.{u3, u1} S R (Semiring.toMonoidWithZero.{u3} S (CommSemiring.toSemiring.{u3} S _inst_3)) (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (Module.toMulActionWithZero.{u3, u1} S R (CommSemiring.toSemiring.{u3} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (Algebra.toModule.{u3, u1} S R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_1) _inst_6)))) (SMulWithZero.toSmulZeroClass.{u1, u1} R R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (MulZeroClass.toSMulWithZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))) (IsScalarTower.right.{u3, u1} S R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_1) _inst_6)))) g
 but is expected to have type
   forall {R : Type.{u4}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u4} R] {S : Type.{u2}} {A : Type.{u3}} [_inst_3 : CommSemiring.{u2} S] [_inst_4 : CommSemiring.{u3} A] [_inst_6 : Algebra.{u2, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1)] [_inst_7 : Algebra.{u2, u3} S A _inst_3 (CommSemiring.toSemiring.{u3} A _inst_4)] (g : AlgHom.{u2, u4, u3} S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7) (y : σ -> A), Eq.{max (succ u4) (succ u3)} (AlgHom.{u2, u4, u3} S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7) (AlgHom.comp.{u2, u4, max u4 u1, u3} S R (MvPolynomial.{u1, u4} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 (MvPolynomial.algebra.{u2, u4, u1} S R σ _inst_3 _inst_1 _inst_6) _inst_7 (MvPolynomial.aevalTower.{u4, u1, u2, u3} R σ _inst_1 S A _inst_3 _inst_4 _inst_6 _inst_7 g y) (IsScalarTower.toAlgHom.{u2, u4, max u4 u1} S R (MvPolynomial.{u1, u4} σ R _inst_1) _inst_3 _inst_1 (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u1} R σ _inst_1)) _inst_6 (MvPolynomial.algebra.{u4, u4, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u4} R _inst_1)) (MvPolynomial.algebra.{u2, u4, u1} S R σ _inst_3 _inst_1 _inst_6) (MvPolynomial.isScalarTower.{u2, u4, u4, u1} S R R σ (MonoidWithZero.toMonoid.{u2} S (Semiring.toMonoidWithZero.{u2} S (CommSemiring.toSemiring.{u2} S _inst_3))) (MonoidWithZero.toMonoid.{u4} R (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) _inst_1 (Algebra.toSMul.{u2, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) _inst_6) (Module.toDistribMulAction.{u2, u4} S R (CommSemiring.toSemiring.{u2} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (Algebra.toModule.{u2, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) _inst_6)) (Module.toDistribMulAction.{u4, u4} R R (CommSemiring.toSemiring.{u4} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (Semiring.toModule.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (IsScalarTower.right.{u2, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) _inst_6)))) g
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.aeval_tower_comp_to_alg_hom MvPolynomial.aevalTower_comp_toAlgHomₓ'. -/

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

@@ -2585,7 +2585,7 @@ theorem map_aeval {B : Type _} [CommSemiring B] (g : σ → S₁) (φ : S₁ →
 lean 3 declaration is
   forall {R : Type.{u1}} {S₂ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_4 : CommSemiring.{u2} S₂] (f : RingHom.{u1, u2} R S₂ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4))), Eq.{max (succ (max u3 u1)) (succ u2)} (RingHom.{max u3 u1, u2} (MvPolynomial.{u3, u1} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4))) (MvPolynomial.eval₂Hom.{u1, u2, u3} R S₂ σ _inst_1 _inst_4 f (OfNat.ofNat.{max u3 u2} (σ -> S₂) 0 (OfNat.mk.{max u3 u2} (σ -> S₂) 0 (Zero.zero.{max u3 u2} (σ -> S₂) (Pi.instZero.{u3, u2} σ (fun (ᾰ : σ) => S₂) (fun (i : σ) => MulZeroClass.toHasZero.{u2} S₂ (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S₂ (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4)))))))))) (RingHom.comp.{max u3 u1, u1, u2} (MvPolynomial.{u3, u1} σ R _inst_1) R S₂ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4)) f (MvPolynomial.constantCoeff.{u1, u3} R σ _inst_1))
 but is expected to have type
-  forall {R : Type.{u2}} {S₂ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_4 : CommSemiring.{u3} S₂] (f : RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))), Eq.{max (max (succ u2) (succ u3)) (succ u1)} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (MvPolynomial.eval₂Hom.{u2, u3, u1} R S₂ σ _inst_1 _inst_4 f (OfNat.ofNat.{max u3 u1} (σ -> S₂) 0 (Zero.toOfNat0.{max u3 u1} (σ -> S₂) (Pi.instZero.{u1, u3} σ (fun (a._@.Mathlib.Data.MvPolynomial.Basic._hyg.20300 : σ) => S₂) (fun (i : σ) => CommMonoidWithZero.toZero.{u3} S₂ (CommSemiring.toCommMonoidWithZero.{u3} S₂ _inst_4)))))) (RingHom.comp.{max u1 u2, u2, u3} (MvPolynomial.{u1, u2} σ R _inst_1) R S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)) f (MvPolynomial.constantCoeff.{u2, u1} R σ _inst_1))
+  forall {R : Type.{u2}} {S₂ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_4 : CommSemiring.{u3} S₂] (f : RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))), Eq.{max (max (succ u2) (succ u3)) (succ u1)} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (MvPolynomial.eval₂Hom.{u2, u3, u1} R S₂ σ _inst_1 _inst_4 f (OfNat.ofNat.{max u3 u1} (σ -> S₂) 0 (Zero.toOfNat0.{max u3 u1} (σ -> S₂) (Pi.instZero.{u1, u3} σ (fun (a._@.Mathlib.Data.MvPolynomial.Basic._hyg.20294 : σ) => S₂) (fun (i : σ) => CommMonoidWithZero.toZero.{u3} S₂ (CommSemiring.toCommMonoidWithZero.{u3} S₂ _inst_4)))))) (RingHom.comp.{max u1 u2, u2, u3} (MvPolynomial.{u1, u2} σ R _inst_1) R S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)) f (MvPolynomial.constantCoeff.{u2, u1} R σ _inst_1))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval₂_hom_zero MvPolynomial.eval₂Hom_zeroₓ'. -/
 @[simp]
 theorem eval₂Hom_zero (f : R →+* S₂) : eval₂Hom f (0 : σ → S₂) = f.comp constantCoeff := by
@@ -2607,7 +2607,7 @@ theorem eval₂Hom_zero' (f : R →+* S₂) : eval₂Hom f (fun _ => 0 : σ →
 lean 3 declaration is
   forall {R : Type.{u1}} {S₂ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_4 : CommSemiring.{u2} S₂] (f : RingHom.{u1, u2} R S₂ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4))) (p : MvPolynomial.{u3, u1} σ R _inst_1), Eq.{succ u2} S₂ (coeFn.{max (succ (max u3 u1)) (succ u2), max (succ (max u3 u1)) (succ u2)} (RingHom.{max u3 u1, u2} (MvPolynomial.{u3, u1} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4))) (fun (_x : RingHom.{max u3 u1, u2} (MvPolynomial.{u3, u1} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4))) => (MvPolynomial.{u3, u1} σ R _inst_1) -> S₂) (RingHom.hasCoeToFun.{max u3 u1, u2} (MvPolynomial.{u3, u1} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4))) (MvPolynomial.eval₂Hom.{u1, u2, u3} R S₂ σ _inst_1 _inst_4 f (OfNat.ofNat.{max u3 u2} (σ -> S₂) 0 (OfNat.mk.{max u3 u2} (σ -> S₂) 0 (Zero.zero.{max u3 u2} (σ -> S₂) (Pi.instZero.{u3, u2} σ (fun (ᾰ : σ) => S₂) (fun (i : σ) => MulZeroClass.toHasZero.{u2} S₂ (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S₂ (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4)))))))))) p) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R S₂ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4))) (fun (_x : RingHom.{u1, u2} R S₂ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4))) => R -> S₂) (RingHom.hasCoeToFun.{u1, u2} R S₂ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4))) f (coeFn.{max (succ (max u3 u1)) (succ u1), max (succ (max u3 u1)) (succ u1)} (RingHom.{max u3 u1, u1} (MvPolynomial.{u3, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (fun (_x : RingHom.{max u3 u1, u1} (MvPolynomial.{u3, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) => (MvPolynomial.{u3, u1} σ R _inst_1) -> R) (RingHom.hasCoeToFun.{max u3 u1, u1} (MvPolynomial.{u3, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.constantCoeff.{u1, u3} R σ _inst_1) p))
 but is expected to have type
-  forall {R : Type.{u2}} {S₂ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_4 : CommSemiring.{u3} S₂] (f : RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (p : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => S₂) p) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u2) (succ u1), succ u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => S₂) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u3} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)) (RingHom.instRingHomClassRingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)))))) (MvPolynomial.eval₂Hom.{u2, u3, u1} R S₂ σ _inst_1 _inst_4 f (OfNat.ofNat.{max u3 u1} (σ -> S₂) 0 (Zero.toOfNat0.{max u3 u1} (σ -> S₂) (Pi.instZero.{u1, u3} σ (fun (a._@.Mathlib.Data.MvPolynomial.Basic._hyg.20454 : σ) => S₂) (fun (i : σ) => CommMonoidWithZero.toZero.{u3} S₂ (CommSemiring.toCommMonoidWithZero.{u3} S₂ _inst_4)))))) p) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₂) _x) (MulHomClass.toFunLike.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) R S₂ (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) R S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)) (RingHom.instRingHomClassRingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)))))) f (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), succ u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) _x) (MulHomClass.toFunLike.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (RingHom.instRingHomClassRingHom.{max u1 u2, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))))) (MvPolynomial.constantCoeff.{u2, u1} R σ _inst_1) p))
+  forall {R : Type.{u2}} {S₂ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_4 : CommSemiring.{u3} S₂] (f : RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (p : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => S₂) p) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u2) (succ u1), succ u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => S₂) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u3} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)) (RingHom.instRingHomClassRingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)))))) (MvPolynomial.eval₂Hom.{u2, u3, u1} R S₂ σ _inst_1 _inst_4 f (OfNat.ofNat.{max u3 u1} (σ -> S₂) 0 (Zero.toOfNat0.{max u3 u1} (σ -> S₂) (Pi.instZero.{u1, u3} σ (fun (a._@.Mathlib.Data.MvPolynomial.Basic._hyg.20448 : σ) => S₂) (fun (i : σ) => CommMonoidWithZero.toZero.{u3} S₂ (CommSemiring.toCommMonoidWithZero.{u3} S₂ _inst_4)))))) p) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₂) _x) (MulHomClass.toFunLike.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) R S₂ (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) R S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)) (RingHom.instRingHomClassRingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)))))) f (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), succ u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) _x) (MulHomClass.toFunLike.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (RingHom.instRingHomClassRingHom.{max u1 u2, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))))) (MvPolynomial.constantCoeff.{u2, u1} R σ _inst_1) p))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval₂_hom_zero_apply MvPolynomial.eval₂Hom_zero_applyₓ'. -/
 theorem eval₂Hom_zero_apply (f : R →+* S₂) (p : MvPolynomial σ R) :
     eval₂Hom f (0 : σ → S₂) p = f (constantCoeff p) :=
@@ -2629,7 +2629,7 @@ theorem eval₂Hom_zero'_apply (f : R →+* S₂) (p : MvPolynomial σ R) :
 lean 3 declaration is
   forall {R : Type.{u1}} {S₂ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_4 : CommSemiring.{u2} S₂] (f : RingHom.{u1, u2} R S₂ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4))) (p : MvPolynomial.{u3, u1} σ R _inst_1), Eq.{succ u2} S₂ (MvPolynomial.eval₂.{u1, u2, u3} R S₂ σ _inst_1 _inst_4 f (OfNat.ofNat.{max u3 u2} (σ -> S₂) 0 (OfNat.mk.{max u3 u2} (σ -> S₂) 0 (Zero.zero.{max u3 u2} (σ -> S₂) (Pi.instZero.{u3, u2} σ (fun (ᾰ : σ) => S₂) (fun (i : σ) => MulZeroClass.toHasZero.{u2} S₂ (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S₂ (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4))))))))) p) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R S₂ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4))) (fun (_x : RingHom.{u1, u2} R S₂ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4))) => R -> S₂) (RingHom.hasCoeToFun.{u1, u2} R S₂ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4))) f (coeFn.{max (succ (max u3 u1)) (succ u1), max (succ (max u3 u1)) (succ u1)} (RingHom.{max u3 u1, u1} (MvPolynomial.{u3, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (fun (_x : RingHom.{max u3 u1, u1} (MvPolynomial.{u3, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) => (MvPolynomial.{u3, u1} σ R _inst_1) -> R) (RingHom.hasCoeToFun.{max u3 u1, u1} (MvPolynomial.{u3, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.constantCoeff.{u1, u3} R σ _inst_1) p))
 but is expected to have type
-  forall {R : Type.{u2}} {S₂ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_4 : CommSemiring.{u3} S₂] (f : RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (p : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{succ u3} S₂ (MvPolynomial.eval₂.{u2, u3, u1} R S₂ σ _inst_1 _inst_4 f (OfNat.ofNat.{max u3 u1} (σ -> S₂) 0 (Zero.toOfNat0.{max u3 u1} (σ -> S₂) (Pi.instZero.{u1, u3} σ (fun (a._@.Mathlib.Data.MvPolynomial.Basic._hyg.20613 : σ) => S₂) (fun (i : σ) => CommMonoidWithZero.toZero.{u3} S₂ (CommSemiring.toCommMonoidWithZero.{u3} S₂ _inst_4))))) p) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₂) _x) (MulHomClass.toFunLike.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) R S₂ (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) R S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)) (RingHom.instRingHomClassRingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)))))) f (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), succ u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) _x) (MulHomClass.toFunLike.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (RingHom.instRingHomClassRingHom.{max u1 u2, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))))) (MvPolynomial.constantCoeff.{u2, u1} R σ _inst_1) p))
+  forall {R : Type.{u2}} {S₂ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_4 : CommSemiring.{u3} S₂] (f : RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (p : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{succ u3} S₂ (MvPolynomial.eval₂.{u2, u3, u1} R S₂ σ _inst_1 _inst_4 f (OfNat.ofNat.{max u3 u1} (σ -> S₂) 0 (Zero.toOfNat0.{max u3 u1} (σ -> S₂) (Pi.instZero.{u1, u3} σ (fun (a._@.Mathlib.Data.MvPolynomial.Basic._hyg.20607 : σ) => S₂) (fun (i : σ) => CommMonoidWithZero.toZero.{u3} S₂ (CommSemiring.toCommMonoidWithZero.{u3} S₂ _inst_4))))) p) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₂) _x) (MulHomClass.toFunLike.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) R S₂ (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) R S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)) (RingHom.instRingHomClassRingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)))))) f (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), succ u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) _x) (MulHomClass.toFunLike.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (RingHom.instRingHomClassRingHom.{max u1 u2, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))))) (MvPolynomial.constantCoeff.{u2, u1} R σ _inst_1) p))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval₂_zero_apply MvPolynomial.eval₂_zero_applyₓ'. -/
 @[simp]
 theorem eval₂_zero_apply (f : R →+* S₂) (p : MvPolynomial σ R) :
@@ -2653,7 +2653,7 @@ theorem eval₂_zero'_apply (f : R →+* S₂) (p : MvPolynomial σ R) :
 lean 3 declaration is
   forall {R : Type.{u1}} {S₁ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] [_inst_3 : Algebra.{u1, u2} R S₁ _inst_1 (CommSemiring.toSemiring.{u2} S₁ _inst_2)] (p : MvPolynomial.{u3, u1} σ R _inst_1), Eq.{succ u2} S₁ (coeFn.{max (succ (max u3 u1)) (succ u2), max (succ (max u3 u1)) (succ u2)} (AlgHom.{u1, max u3 u1, u2} R (MvPolynomial.{u3, u1} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (CommSemiring.toSemiring.{u2} S₁ _inst_2) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_3) (fun (_x : AlgHom.{u1, max u3 u1, u2} R (MvPolynomial.{u3, u1} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (CommSemiring.toSemiring.{u2} S₁ _inst_2) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_3) => (MvPolynomial.{u3, u1} σ R _inst_1) -> S₁) ([anonymous].{u1, max u3 u1, u2} R (MvPolynomial.{u3, u1} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (CommSemiring.toSemiring.{u2} S₁ _inst_2) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_3) (MvPolynomial.aeval.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 _inst_3 (OfNat.ofNat.{max u3 u2} (σ -> S₁) 0 (OfNat.mk.{max u3 u2} (σ -> S₁) 0 (Zero.zero.{max u3 u2} (σ -> S₁) (Pi.instZero.{u3, u2} σ (fun (ᾰ : σ) => S₁) (fun (i : σ) => MulZeroClass.toHasZero.{u2} S₁ (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S₁ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)))))))))) p) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (fun (_x : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) => R -> S₁) (RingHom.hasCoeToFun.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (algebraMap.{u1, u2} R S₁ _inst_1 (CommSemiring.toSemiring.{u2} S₁ _inst_2) _inst_3) (coeFn.{max (succ (max u3 u1)) (succ u1), max (succ (max u3 u1)) (succ u1)} (RingHom.{max u3 u1, u1} (MvPolynomial.{u3, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (fun (_x : RingHom.{max u3 u1, u1} (MvPolynomial.{u3, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) => (MvPolynomial.{u3, u1} σ R _inst_1) -> R) (RingHom.hasCoeToFun.{max u3 u1, u1} (MvPolynomial.{u3, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.constantCoeff.{u1, u3} R σ _inst_1) p))
 but is expected to have type
-  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] [_inst_3 : Algebra.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2)] (p : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u1, u2} σ R _inst_1) => S₁) p) (FunLike.coe.{max (max (succ u3) (succ u1)) (succ u2), max (succ u1) (succ u2), succ u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u1, u2} σ R _inst_1) => S₁) _x) (SMulHomClass.toFunLike.{max (max u3 u1) u2, u2, max u1 u2, u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (SMulZeroClass.toSMul.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (AddMonoid.toZero.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (DistribSMul.toSMulZeroClass.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (DistribMulAction.toDistribSMul.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))))))) (SMulZeroClass.toSMul.{u2, u3} R S₁ (AddMonoid.toZero.{u3} S₁ (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (DistribSMul.toSMulZeroClass.{u2, u3} R S₁ (AddMonoid.toAddZeroClass.{u3} S₁ (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (DistribMulAction.toDistribSMul.{u2, u3} R S₁ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))))) (Module.toDistribMulAction.{u2, u3} R S₁ (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (Algebra.toModule.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3))))) (DistribMulActionHomClass.toSMulHomClass.{max (max u3 u1) u2, u2, max u1 u2, u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (Module.toDistribMulAction.{u2, u3} R S₁ (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (Algebra.toModule.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max (max u3 u1) u2, u2, max u1 u2, u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (Module.toDistribMulAction.{u2, u3} R S₁ (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (Algebra.toModule.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u2, max u1 u2, u3, max (max u3 u1) u2} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3 (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) (AlgHom.algHomClass.{u2, max u1 u2, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3))))) (MvPolynomial.aeval.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 _inst_3 (OfNat.ofNat.{max u3 u1} (σ -> S₁) 0 (Zero.toOfNat0.{max u3 u1} (σ -> S₁) (Pi.instZero.{u1, u3} σ (fun (a._@.Mathlib.Data.MvPolynomial.Basic._hyg.20761 : σ) => S₁) (fun (i : σ) => CommMonoidWithZero.toZero.{u3} S₁ (CommSemiring.toCommMonoidWithZero.{u3} S₁ _inst_2)))))) p) (FunLike.coe.{max (succ u3) (succ u2), succ u2, succ u3} (RingHom.{u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (fun (_x : (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) => S₁) _x) (MulHomClass.toFunLike.{max u3 u2, u2, u3} (RingHom.{u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (NonUnitalNonAssocSemiring.toMul.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u3 u2, u2, u3} (RingHom.{u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u3 u2, u2, u3} (RingHom.{u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (algebraMap.{u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3) (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), succ u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) _x) (MulHomClass.toFunLike.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (RingHom.instRingHomClassRingHom.{max u1 u2, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))))) (MvPolynomial.constantCoeff.{u2, u1} R σ _inst_1) p))
+  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] [_inst_3 : Algebra.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2)] (p : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u1, u2} σ R _inst_1) => S₁) p) (FunLike.coe.{max (max (succ u3) (succ u1)) (succ u2), max (succ u1) (succ u2), succ u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u1, u2} σ R _inst_1) => S₁) _x) (SMulHomClass.toFunLike.{max (max u3 u1) u2, u2, max u1 u2, u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (SMulZeroClass.toSMul.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (AddMonoid.toZero.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (DistribSMul.toSMulZeroClass.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (DistribMulAction.toDistribSMul.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))))))) (SMulZeroClass.toSMul.{u2, u3} R S₁ (AddMonoid.toZero.{u3} S₁ (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (DistribSMul.toSMulZeroClass.{u2, u3} R S₁ (AddMonoid.toAddZeroClass.{u3} S₁ (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (DistribMulAction.toDistribSMul.{u2, u3} R S₁ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))))) (Module.toDistribMulAction.{u2, u3} R S₁ (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (Algebra.toModule.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3))))) (DistribMulActionHomClass.toSMulHomClass.{max (max u3 u1) u2, u2, max u1 u2, u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (Module.toDistribMulAction.{u2, u3} R S₁ (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (Algebra.toModule.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max (max u3 u1) u2, u2, max u1 u2, u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (Module.toDistribMulAction.{u2, u3} R S₁ (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (Algebra.toModule.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u2, max u1 u2, u3, max (max u3 u1) u2} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3 (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) (AlgHom.algHomClass.{u2, max u1 u2, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3))))) (MvPolynomial.aeval.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 _inst_3 (OfNat.ofNat.{max u3 u1} (σ -> S₁) 0 (Zero.toOfNat0.{max u3 u1} (σ -> S₁) (Pi.instZero.{u1, u3} σ (fun (a._@.Mathlib.Data.MvPolynomial.Basic._hyg.20755 : σ) => S₁) (fun (i : σ) => CommMonoidWithZero.toZero.{u3} S₁ (CommSemiring.toCommMonoidWithZero.{u3} S₁ _inst_2)))))) p) (FunLike.coe.{max (succ u3) (succ u2), succ u2, succ u3} (RingHom.{u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (fun (_x : (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) => S₁) _x) (MulHomClass.toFunLike.{max u3 u2, u2, u3} (RingHom.{u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (NonUnitalNonAssocSemiring.toMul.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u3 u2, u2, u3} (RingHom.{u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u3 u2, u2, u3} (RingHom.{u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (algebraMap.{u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3) (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), succ u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) _x) (MulHomClass.toFunLike.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (RingHom.instRingHomClassRingHom.{max u1 u2, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))))) (MvPolynomial.constantCoeff.{u2, u1} R σ _inst_1) p))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.aeval_zero MvPolynomial.aeval_zeroₓ'. -/
 @[simp]
 theorem aeval_zero (p : MvPolynomial σ R) :
@@ -2677,7 +2677,7 @@ theorem aeval_zero' (p : MvPolynomial σ R) :
 lean 3 declaration is
   forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R], Eq.{max (succ (max u2 u1)) (succ u1)} (RingHom.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.eval.{u1, u2} R σ _inst_1 (OfNat.ofNat.{max u2 u1} (σ -> R) 0 (OfNat.mk.{max u2 u1} (σ -> R) 0 (Zero.zero.{max u2 u1} (σ -> R) (Pi.instZero.{u2, u1} σ (fun (ᾰ : σ) => R) (fun (i : σ) => MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))))))) (MvPolynomial.constantCoeff.{u1, u2} R σ _inst_1)
 but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R], Eq.{max (succ u2) (succ u1)} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.eval.{u2, u1} R σ _inst_1 (OfNat.ofNat.{max u2 u1} (σ -> R) 0 (Zero.toOfNat0.{max u2 u1} (σ -> R) (Pi.instZero.{u1, u2} σ (fun (a._@.Mathlib.Data.MvPolynomial.Basic._hyg.20909 : σ) => R) (fun (i : σ) => CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1)))))) (MvPolynomial.constantCoeff.{u2, u1} R σ _inst_1)
+  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R], Eq.{max (succ u2) (succ u1)} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.eval.{u2, u1} R σ _inst_1 (OfNat.ofNat.{max u2 u1} (σ -> R) 0 (Zero.toOfNat0.{max u2 u1} (σ -> R) (Pi.instZero.{u1, u2} σ (fun (a._@.Mathlib.Data.MvPolynomial.Basic._hyg.20903 : σ) => R) (fun (i : σ) => CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1)))))) (MvPolynomial.constantCoeff.{u2, u1} R σ _inst_1)
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval_zero MvPolynomial.eval_zeroₓ'. -/
 @[simp]
 theorem eval_zero : eval (0 : σ → R) = constantCoeff :=

mathlib commit https://github.com/leanprover-community/mathlib/commit/a4f99eae998680d3a2c240da4a2b16354c85ee49

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Johannes Hölzl, Johan Commelin, Mario Carneiro
 
 ! This file was ported from Lean 3 source module data.mv_polynomial.basic
-! leanprover-community/mathlib commit 932872382355f00112641d305ba0619305dc8642
+! leanprover-community/mathlib commit 0b89934139d3be96f9dab477f10c20f9f93da580
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -2046,6 +2046,35 @@ theorem eval_assoc {τ} (f : σ → MvPolynomial τ R) (g : τ → R) (p : MvPol
   congr with a; simp
 #align mv_polynomial.eval_assoc MvPolynomial.eval_assoc
 
+/- warning: mv_polynomial.eval₂_id -> MvPolynomial.eval₂_id is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] (p : MvPolynomial.{u2, u1} σ R _inst_1) (g : σ -> R), Eq.{succ u1} R (MvPolynomial.eval₂.{u1, u1, u2} R R σ _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) g p) (coeFn.{max (succ (max u2 u1)) (succ u1), max (succ (max u2 u1)) (succ u1)} (RingHom.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (fun (_x : RingHom.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) => (MvPolynomial.{u2, u1} σ R _inst_1) -> R) (RingHom.hasCoeToFun.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.eval.{u1, u2} R σ _inst_1 g) p)
+but is expected to have type
+  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] {p : σ -> R} (g : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{succ u2} R (MvPolynomial.eval₂.{u2, u2, u1} R R σ _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) p g) (FunLike.coe.{max (succ u2) (succ u1), max (succ u2) (succ u1), succ u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) _x) (MulHomClass.toFunLike.{max u2 u1, max u2 u1, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, max u2 u1, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, max u2 u1, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (RingHom.instRingHomClassRingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))))) (MvPolynomial.eval.{u2, u1} R σ _inst_1 p) g)
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval₂_id MvPolynomial.eval₂_idₓ'. -/
+@[simp]
+theorem eval₂_id (p : MvPolynomial σ R) (g : σ → R) : eval₂ (RingHom.id _) g p = eval g p :=
+  rfl
+#align mv_polynomial.eval₂_id MvPolynomial.eval₂_id
+
+/- warning: mv_polynomial.eval_eval₂ -> MvPolynomial.eval_eval₂ is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {S₁ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] {τ : Type.{u4}} (f : RingHom.{u1, max u4 u2} R (MvPolynomial.{u4, u2} τ S₁ _inst_2) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u4, u2} τ S₁ _inst_2) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u4, u2} τ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u4} S₁ τ _inst_2)))) (g : σ -> (MvPolynomial.{u4, u2} τ S₁ _inst_2)) (p : MvPolynomial.{u3, u1} σ R _inst_1) (x : τ -> S₁), Eq.{succ u2} S₁ (coeFn.{max (succ (max u4 u2)) (succ u2), max (succ (max u4 u2)) (succ u2)} (RingHom.{max u4 u2, u2} (MvPolynomial.{u4, u2} τ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u4, u2} τ S₁ _inst_2) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u4, u2} τ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u4} S₁ τ _inst_2))) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (fun (_x : RingHom.{max u4 u2, u2} (MvPolynomial.{u4, u2} τ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u4, u2} τ S₁ _inst_2) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u4, u2} τ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u4} S₁ τ _inst_2))) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) => (MvPolynomial.{u4, u2} τ S₁ _inst_2) -> S₁) (RingHom.hasCoeToFun.{max u4 u2, u2} (MvPolynomial.{u4, u2} τ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u4, u2} τ S₁ _inst_2) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u4, u2} τ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u4} S₁ τ _inst_2))) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (MvPolynomial.eval.{u2, u4} S₁ τ _inst_2 x) (MvPolynomial.eval₂.{u1, max u4 u2, u3} R (MvPolynomial.{u4, u2} τ S₁ _inst_2) σ _inst_1 (MvPolynomial.commSemiring.{u2, u4} S₁ τ _inst_2) f g p)) (MvPolynomial.eval₂.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 (RingHom.comp.{u1, max u4 u2, u2} R (MvPolynomial.{u4, u2} τ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u4, u2} τ S₁ _inst_2) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u4, u2} τ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u4} S₁ τ _inst_2))) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (MvPolynomial.eval.{u2, u4} S₁ τ _inst_2 x) f) (fun (s : σ) => coeFn.{max (succ (max u4 u2)) (succ u2), max (succ (max u4 u2)) (succ u2)} (RingHom.{max u4 u2, u2} (MvPolynomial.{u4, u2} τ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u4, u2} τ S₁ _inst_2) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u4, u2} τ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u4} S₁ τ _inst_2))) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (fun (_x : RingHom.{max u4 u2, u2} (MvPolynomial.{u4, u2} τ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u4, u2} τ S₁ _inst_2) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u4, u2} τ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u4} S₁ τ _inst_2))) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) => (MvPolynomial.{u4, u2} τ S₁ _inst_2) -> S₁) (RingHom.hasCoeToFun.{max u4 u2, u2} (MvPolynomial.{u4, u2} τ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u4, u2} τ S₁ _inst_2) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u4, u2} τ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u4} S₁ τ _inst_2))) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (MvPolynomial.eval.{u2, u4} S₁ τ _inst_2 x) (g s)) p)
+but is expected to have type
+  forall {R : Type.{u4}} {S₁ : Type.{u1}} {σ : Type.{u3}} {_inst_1 : Type.{u2}} {_inst_2 : _inst_1 -> σ} [τ : CommSemiring.{u4} R] [f : CommSemiring.{u3} σ] (g : RingHom.{u4, max u3 u2} R (MvPolynomial.{u2, u3} _inst_1 σ f) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R τ)) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} _inst_1 σ f) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} _inst_1 σ f) (MvPolynomial.commSemiring.{u3, u2} σ _inst_1 f)))) (p : S₁ -> (MvPolynomial.{u2, u3} _inst_1 σ f)) (x : MvPolynomial.{u1, u4} S₁ R τ), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u2, u3} _inst_1 σ f) => σ) (MvPolynomial.eval₂.{u4, max u2 u3, u1} R (MvPolynomial.{u2, u3} _inst_1 σ f) S₁ τ (MvPolynomial.commSemiring.{u3, u2} σ _inst_1 f) g p x)) (FunLike.coe.{max (succ u2) (succ u3), max (succ u2) (succ u3), succ u3} (RingHom.{max u3 u2, u3} (MvPolynomial.{u2, u3} _inst_1 σ f) σ (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} _inst_1 σ f) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} _inst_1 σ f) (MvPolynomial.commSemiring.{u3, u2} σ _inst_1 f))) (Semiring.toNonAssocSemiring.{u3} σ (CommSemiring.toSemiring.{u3} σ f))) (MvPolynomial.{u2, u3} _inst_1 σ f) (fun (_x : MvPolynomial.{u2, u3} _inst_1 σ f) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u2, u3} _inst_1 σ f) => σ) _x) (MulHomClass.toFunLike.{max u2 u3, max u2 u3, u3} (RingHom.{max u3 u2, u3} (MvPolynomial.{u2, u3} _inst_1 σ f) σ (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} _inst_1 σ f) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} _inst_1 σ f) (MvPolynomial.commSemiring.{u3, u2} σ _inst_1 f))) (Semiring.toNonAssocSemiring.{u3} σ (CommSemiring.toSemiring.{u3} σ f))) (MvPolynomial.{u2, u3} _inst_1 σ f) σ (NonUnitalNonAssocSemiring.toMul.{max u2 u3} (MvPolynomial.{u2, u3} _inst_1 σ f) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u3} (MvPolynomial.{u2, u3} _inst_1 σ f) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} _inst_1 σ f) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} _inst_1 σ f) (MvPolynomial.commSemiring.{u3, u2} σ _inst_1 f))))) (NonUnitalNonAssocSemiring.toMul.{u3} σ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} σ (Semiring.toNonAssocSemiring.{u3} σ (CommSemiring.toSemiring.{u3} σ f)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u3, max u2 u3, u3} (RingHom.{max u3 u2, u3} (MvPolynomial.{u2, u3} _inst_1 σ f) σ (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} _inst_1 σ f) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} _inst_1 σ f) (MvPolynomial.commSemiring.{u3, u2} σ _inst_1 f))) (Semiring.toNonAssocSemiring.{u3} σ (CommSemiring.toSemiring.{u3} σ f))) (MvPolynomial.{u2, u3} _inst_1 σ f) σ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u3} (MvPolynomial.{u2, u3} _inst_1 σ f) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} _inst_1 σ f) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} _inst_1 σ f) (MvPolynomial.commSemiring.{u3, u2} σ _inst_1 f)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} σ (Semiring.toNonAssocSemiring.{u3} σ (CommSemiring.toSemiring.{u3} σ f))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u3, max u2 u3, u3} (RingHom.{max u3 u2, u3} (MvPolynomial.{u2, u3} _inst_1 σ f) σ (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} _inst_1 σ f) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} _inst_1 σ f) (MvPolynomial.commSemiring.{u3, u2} σ _inst_1 f))) (Semiring.toNonAssocSemiring.{u3} σ (CommSemiring.toSemiring.{u3} σ f))) (MvPolynomial.{u2, u3} _inst_1 σ f) σ (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} _inst_1 σ f) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} _inst_1 σ f) (MvPolynomial.commSemiring.{u3, u2} σ _inst_1 f))) (Semiring.toNonAssocSemiring.{u3} σ (CommSemiring.toSemiring.{u3} σ f)) (RingHom.instRingHomClassRingHom.{max u2 u3, u3} (MvPolynomial.{u2, u3} _inst_1 σ f) σ (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} _inst_1 σ f) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} _inst_1 σ f) (MvPolynomial.commSemiring.{u3, u2} σ _inst_1 f))) (Semiring.toNonAssocSemiring.{u3} σ (CommSemiring.toSemiring.{u3} σ f)))))) (MvPolynomial.eval.{u3, u2} σ _inst_1 f _inst_2) (MvPolynomial.eval₂.{u4, max u2 u3, u1} R (MvPolynomial.{u2, u3} _inst_1 σ f) S₁ τ (MvPolynomial.commSemiring.{u3, u2} σ _inst_1 f) g p x)) (MvPolynomial.eval₂.{u4, u3, u1} R σ S₁ τ f (RingHom.comp.{u4, max u3 u2, u3} R (MvPolynomial.{u2, u3} _inst_1 σ f) σ (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R τ)) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} _inst_1 σ f) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} _inst_1 σ f) (MvPolynomial.commSemiring.{u3, u2} σ _inst_1 f))) (Semiring.toNonAssocSemiring.{u3} σ (CommSemiring.toSemiring.{u3} σ f)) (MvPolynomial.eval.{u3, u2} σ _inst_1 f _inst_2) g) (fun (s : S₁) => FunLike.coe.{max (succ u3) (succ u2), max (succ u3) (succ u2), succ u3} (RingHom.{max u3 u2, u3} (MvPolynomial.{u2, u3} _inst_1 σ f) σ (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} _inst_1 σ f) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} _inst_1 σ f) (MvPolynomial.commSemiring.{u3, u2} σ _inst_1 f))) (Semiring.toNonAssocSemiring.{u3} σ (CommSemiring.toSemiring.{u3} σ f))) (MvPolynomial.{u2, u3} _inst_1 σ f) (fun (_x : MvPolynomial.{u2, u3} _inst_1 σ f) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u2, u3} _inst_1 σ f) => σ) _x) (MulHomClass.toFunLike.{max u3 u2, max u3 u2, u3} (RingHom.{max u3 u2, u3} (MvPolynomial.{u2, u3} _inst_1 σ f) σ (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} _inst_1 σ f) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} _inst_1 σ f) (MvPolynomial.commSemiring.{u3, u2} σ _inst_1 f))) (Semiring.toNonAssocSemiring.{u3} σ (CommSemiring.toSemiring.{u3} σ f))) (MvPolynomial.{u2, u3} _inst_1 σ f) σ (NonUnitalNonAssocSemiring.toMul.{max u3 u2} (MvPolynomial.{u2, u3} _inst_1 σ f) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} _inst_1 σ f) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} _inst_1 σ f) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} _inst_1 σ f) (MvPolynomial.commSemiring.{u3, u2} σ _inst_1 f))))) (NonUnitalNonAssocSemiring.toMul.{u3} σ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} σ (Semiring.toNonAssocSemiring.{u3} σ (CommSemiring.toSemiring.{u3} σ f)))) (NonUnitalRingHomClass.toMulHomClass.{max u3 u2, max u3 u2, u3} (RingHom.{max u3 u2, u3} (MvPolynomial.{u2, u3} _inst_1 σ f) σ (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} _inst_1 σ f) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} _inst_1 σ f) (MvPolynomial.commSemiring.{u3, u2} σ _inst_1 f))) (Semiring.toNonAssocSemiring.{u3} σ (CommSemiring.toSemiring.{u3} σ f))) (MvPolynomial.{u2, u3} _inst_1 σ f) σ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} _inst_1 σ f) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} _inst_1 σ f) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} _inst_1 σ f) (MvPolynomial.commSemiring.{u3, u2} σ _inst_1 f)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} σ (Semiring.toNonAssocSemiring.{u3} σ (CommSemiring.toSemiring.{u3} σ f))) (RingHomClass.toNonUnitalRingHomClass.{max u3 u2, max u3 u2, u3} (RingHom.{max u3 u2, u3} (MvPolynomial.{u2, u3} _inst_1 σ f) σ (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} _inst_1 σ f) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} _inst_1 σ f) (MvPolynomial.commSemiring.{u3, u2} σ _inst_1 f))) (Semiring.toNonAssocSemiring.{u3} σ (CommSemiring.toSemiring.{u3} σ f))) (MvPolynomial.{u2, u3} _inst_1 σ f) σ (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} _inst_1 σ f) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} _inst_1 σ f) (MvPolynomial.commSemiring.{u3, u2} σ _inst_1 f))) (Semiring.toNonAssocSemiring.{u3} σ (CommSemiring.toSemiring.{u3} σ f)) (RingHom.instRingHomClassRingHom.{max u3 u2, u3} (MvPolynomial.{u2, u3} _inst_1 σ f) σ (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} _inst_1 σ f) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} _inst_1 σ f) (MvPolynomial.commSemiring.{u3, u2} σ _inst_1 f))) (Semiring.toNonAssocSemiring.{u3} σ (CommSemiring.toSemiring.{u3} σ f)))))) (MvPolynomial.eval.{u3, u2} σ _inst_1 f _inst_2) (p s)) x)
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval_eval₂ MvPolynomial.eval_eval₂ₓ'. -/
+theorem eval_eval₂ {τ : Type _} (f : R →+* MvPolynomial τ S₁) (g : σ → MvPolynomial τ S₁)
+    (p : MvPolynomial σ R) (x : τ → S₁) :
+    eval x (eval₂ f g p) = eval₂ ((eval x).comp f) (fun s => eval x (g s)) p :=
+  by
+  apply induction_on p
+  · simp
+  · intro p q hp hq
+    simp [hp, hq]
+  · intro p n hp
+    simp [hp]
+#align mv_polynomial.eval_eval₂ MvPolynomial.eval_eval₂
+
 end Eval
 
 section Map

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

@@ -2556,7 +2556,7 @@ theorem map_aeval {B : Type _} [CommSemiring B] (g : σ → S₁) (φ : S₁ →
 lean 3 declaration is
   forall {R : Type.{u1}} {S₂ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_4 : CommSemiring.{u2} S₂] (f : RingHom.{u1, u2} R S₂ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4))), Eq.{max (succ (max u3 u1)) (succ u2)} (RingHom.{max u3 u1, u2} (MvPolynomial.{u3, u1} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4))) (MvPolynomial.eval₂Hom.{u1, u2, u3} R S₂ σ _inst_1 _inst_4 f (OfNat.ofNat.{max u3 u2} (σ -> S₂) 0 (OfNat.mk.{max u3 u2} (σ -> S₂) 0 (Zero.zero.{max u3 u2} (σ -> S₂) (Pi.instZero.{u3, u2} σ (fun (ᾰ : σ) => S₂) (fun (i : σ) => MulZeroClass.toHasZero.{u2} S₂ (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S₂ (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4)))))))))) (RingHom.comp.{max u3 u1, u1, u2} (MvPolynomial.{u3, u1} σ R _inst_1) R S₂ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4)) f (MvPolynomial.constantCoeff.{u1, u3} R σ _inst_1))
 but is expected to have type
-  forall {R : Type.{u2}} {S₂ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_4 : CommSemiring.{u3} S₂] (f : RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))), Eq.{max (max (succ u2) (succ u3)) (succ u1)} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (MvPolynomial.eval₂Hom.{u2, u3, u1} R S₂ σ _inst_1 _inst_4 f (OfNat.ofNat.{max u3 u1} (σ -> S₂) 0 (Zero.toOfNat0.{max u3 u1} (σ -> S₂) (Pi.instZero.{u1, u3} σ (fun (a._@.Mathlib.Data.MvPolynomial.Basic._hyg.20063 : σ) => S₂) (fun (i : σ) => CommMonoidWithZero.toZero.{u3} S₂ (CommSemiring.toCommMonoidWithZero.{u3} S₂ _inst_4)))))) (RingHom.comp.{max u1 u2, u2, u3} (MvPolynomial.{u1, u2} σ R _inst_1) R S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)) f (MvPolynomial.constantCoeff.{u2, u1} R σ _inst_1))
+  forall {R : Type.{u2}} {S₂ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_4 : CommSemiring.{u3} S₂] (f : RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))), Eq.{max (max (succ u2) (succ u3)) (succ u1)} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (MvPolynomial.eval₂Hom.{u2, u3, u1} R S₂ σ _inst_1 _inst_4 f (OfNat.ofNat.{max u3 u1} (σ -> S₂) 0 (Zero.toOfNat0.{max u3 u1} (σ -> S₂) (Pi.instZero.{u1, u3} σ (fun (a._@.Mathlib.Data.MvPolynomial.Basic._hyg.20300 : σ) => S₂) (fun (i : σ) => CommMonoidWithZero.toZero.{u3} S₂ (CommSemiring.toCommMonoidWithZero.{u3} S₂ _inst_4)))))) (RingHom.comp.{max u1 u2, u2, u3} (MvPolynomial.{u1, u2} σ R _inst_1) R S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)) f (MvPolynomial.constantCoeff.{u2, u1} R σ _inst_1))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval₂_hom_zero MvPolynomial.eval₂Hom_zeroₓ'. -/
 @[simp]
 theorem eval₂Hom_zero (f : R →+* S₂) : eval₂Hom f (0 : σ → S₂) = f.comp constantCoeff := by
@@ -2578,7 +2578,7 @@ theorem eval₂Hom_zero' (f : R →+* S₂) : eval₂Hom f (fun _ => 0 : σ →
 lean 3 declaration is
   forall {R : Type.{u1}} {S₂ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_4 : CommSemiring.{u2} S₂] (f : RingHom.{u1, u2} R S₂ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4))) (p : MvPolynomial.{u3, u1} σ R _inst_1), Eq.{succ u2} S₂ (coeFn.{max (succ (max u3 u1)) (succ u2), max (succ (max u3 u1)) (succ u2)} (RingHom.{max u3 u1, u2} (MvPolynomial.{u3, u1} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4))) (fun (_x : RingHom.{max u3 u1, u2} (MvPolynomial.{u3, u1} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4))) => (MvPolynomial.{u3, u1} σ R _inst_1) -> S₂) (RingHom.hasCoeToFun.{max u3 u1, u2} (MvPolynomial.{u3, u1} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4))) (MvPolynomial.eval₂Hom.{u1, u2, u3} R S₂ σ _inst_1 _inst_4 f (OfNat.ofNat.{max u3 u2} (σ -> S₂) 0 (OfNat.mk.{max u3 u2} (σ -> S₂) 0 (Zero.zero.{max u3 u2} (σ -> S₂) (Pi.instZero.{u3, u2} σ (fun (ᾰ : σ) => S₂) (fun (i : σ) => MulZeroClass.toHasZero.{u2} S₂ (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S₂ (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4)))))))))) p) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R S₂ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4))) (fun (_x : RingHom.{u1, u2} R S₂ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4))) => R -> S₂) (RingHom.hasCoeToFun.{u1, u2} R S₂ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4))) f (coeFn.{max (succ (max u3 u1)) (succ u1), max (succ (max u3 u1)) (succ u1)} (RingHom.{max u3 u1, u1} (MvPolynomial.{u3, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (fun (_x : RingHom.{max u3 u1, u1} (MvPolynomial.{u3, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) => (MvPolynomial.{u3, u1} σ R _inst_1) -> R) (RingHom.hasCoeToFun.{max u3 u1, u1} (MvPolynomial.{u3, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.constantCoeff.{u1, u3} R σ _inst_1) p))
 but is expected to have type
-  forall {R : Type.{u2}} {S₂ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_4 : CommSemiring.{u3} S₂] (f : RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (p : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => S₂) p) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u2) (succ u1), succ u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => S₂) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u3} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)) (RingHom.instRingHomClassRingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)))))) (MvPolynomial.eval₂Hom.{u2, u3, u1} R S₂ σ _inst_1 _inst_4 f (OfNat.ofNat.{max u3 u1} (σ -> S₂) 0 (Zero.toOfNat0.{max u3 u1} (σ -> S₂) (Pi.instZero.{u1, u3} σ (fun (a._@.Mathlib.Data.MvPolynomial.Basic._hyg.20217 : σ) => S₂) (fun (i : σ) => CommMonoidWithZero.toZero.{u3} S₂ (CommSemiring.toCommMonoidWithZero.{u3} S₂ _inst_4)))))) p) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₂) _x) (MulHomClass.toFunLike.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) R S₂ (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) R S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)) (RingHom.instRingHomClassRingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)))))) f (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), succ u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) _x) (MulHomClass.toFunLike.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (RingHom.instRingHomClassRingHom.{max u1 u2, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))))) (MvPolynomial.constantCoeff.{u2, u1} R σ _inst_1) p))
+  forall {R : Type.{u2}} {S₂ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_4 : CommSemiring.{u3} S₂] (f : RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (p : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => S₂) p) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u2) (succ u1), succ u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => S₂) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u3} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)) (RingHom.instRingHomClassRingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)))))) (MvPolynomial.eval₂Hom.{u2, u3, u1} R S₂ σ _inst_1 _inst_4 f (OfNat.ofNat.{max u3 u1} (σ -> S₂) 0 (Zero.toOfNat0.{max u3 u1} (σ -> S₂) (Pi.instZero.{u1, u3} σ (fun (a._@.Mathlib.Data.MvPolynomial.Basic._hyg.20454 : σ) => S₂) (fun (i : σ) => CommMonoidWithZero.toZero.{u3} S₂ (CommSemiring.toCommMonoidWithZero.{u3} S₂ _inst_4)))))) p) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₂) _x) (MulHomClass.toFunLike.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) R S₂ (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) R S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)) (RingHom.instRingHomClassRingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)))))) f (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), succ u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) _x) (MulHomClass.toFunLike.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (RingHom.instRingHomClassRingHom.{max u1 u2, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))))) (MvPolynomial.constantCoeff.{u2, u1} R σ _inst_1) p))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval₂_hom_zero_apply MvPolynomial.eval₂Hom_zero_applyₓ'. -/
 theorem eval₂Hom_zero_apply (f : R →+* S₂) (p : MvPolynomial σ R) :
     eval₂Hom f (0 : σ → S₂) p = f (constantCoeff p) :=
@@ -2600,7 +2600,7 @@ theorem eval₂Hom_zero'_apply (f : R →+* S₂) (p : MvPolynomial σ R) :
 lean 3 declaration is
   forall {R : Type.{u1}} {S₂ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_4 : CommSemiring.{u2} S₂] (f : RingHom.{u1, u2} R S₂ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4))) (p : MvPolynomial.{u3, u1} σ R _inst_1), Eq.{succ u2} S₂ (MvPolynomial.eval₂.{u1, u2, u3} R S₂ σ _inst_1 _inst_4 f (OfNat.ofNat.{max u3 u2} (σ -> S₂) 0 (OfNat.mk.{max u3 u2} (σ -> S₂) 0 (Zero.zero.{max u3 u2} (σ -> S₂) (Pi.instZero.{u3, u2} σ (fun (ᾰ : σ) => S₂) (fun (i : σ) => MulZeroClass.toHasZero.{u2} S₂ (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S₂ (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4))))))))) p) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R S₂ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4))) (fun (_x : RingHom.{u1, u2} R S₂ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4))) => R -> S₂) (RingHom.hasCoeToFun.{u1, u2} R S₂ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4))) f (coeFn.{max (succ (max u3 u1)) (succ u1), max (succ (max u3 u1)) (succ u1)} (RingHom.{max u3 u1, u1} (MvPolynomial.{u3, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (fun (_x : RingHom.{max u3 u1, u1} (MvPolynomial.{u3, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) => (MvPolynomial.{u3, u1} σ R _inst_1) -> R) (RingHom.hasCoeToFun.{max u3 u1, u1} (MvPolynomial.{u3, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.constantCoeff.{u1, u3} R σ _inst_1) p))
 but is expected to have type
-  forall {R : Type.{u2}} {S₂ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_4 : CommSemiring.{u3} S₂] (f : RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (p : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{succ u3} S₂ (MvPolynomial.eval₂.{u2, u3, u1} R S₂ σ _inst_1 _inst_4 f (OfNat.ofNat.{max u3 u1} (σ -> S₂) 0 (Zero.toOfNat0.{max u3 u1} (σ -> S₂) (Pi.instZero.{u1, u3} σ (fun (a._@.Mathlib.Data.MvPolynomial.Basic._hyg.20376 : σ) => S₂) (fun (i : σ) => CommMonoidWithZero.toZero.{u3} S₂ (CommSemiring.toCommMonoidWithZero.{u3} S₂ _inst_4))))) p) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₂) _x) (MulHomClass.toFunLike.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) R S₂ (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) R S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)) (RingHom.instRingHomClassRingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)))))) f (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), succ u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) _x) (MulHomClass.toFunLike.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (RingHom.instRingHomClassRingHom.{max u1 u2, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))))) (MvPolynomial.constantCoeff.{u2, u1} R σ _inst_1) p))
+  forall {R : Type.{u2}} {S₂ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_4 : CommSemiring.{u3} S₂] (f : RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (p : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{succ u3} S₂ (MvPolynomial.eval₂.{u2, u3, u1} R S₂ σ _inst_1 _inst_4 f (OfNat.ofNat.{max u3 u1} (σ -> S₂) 0 (Zero.toOfNat0.{max u3 u1} (σ -> S₂) (Pi.instZero.{u1, u3} σ (fun (a._@.Mathlib.Data.MvPolynomial.Basic._hyg.20613 : σ) => S₂) (fun (i : σ) => CommMonoidWithZero.toZero.{u3} S₂ (CommSemiring.toCommMonoidWithZero.{u3} S₂ _inst_4))))) p) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₂) _x) (MulHomClass.toFunLike.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) R S₂ (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) R S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)) (RingHom.instRingHomClassRingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)))))) f (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), succ u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) _x) (MulHomClass.toFunLike.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (RingHom.instRingHomClassRingHom.{max u1 u2, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))))) (MvPolynomial.constantCoeff.{u2, u1} R σ _inst_1) p))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval₂_zero_apply MvPolynomial.eval₂_zero_applyₓ'. -/
 @[simp]
 theorem eval₂_zero_apply (f : R →+* S₂) (p : MvPolynomial σ R) :
@@ -2624,7 +2624,7 @@ theorem eval₂_zero'_apply (f : R →+* S₂) (p : MvPolynomial σ R) :
 lean 3 declaration is
   forall {R : Type.{u1}} {S₁ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] [_inst_3 : Algebra.{u1, u2} R S₁ _inst_1 (CommSemiring.toSemiring.{u2} S₁ _inst_2)] (p : MvPolynomial.{u3, u1} σ R _inst_1), Eq.{succ u2} S₁ (coeFn.{max (succ (max u3 u1)) (succ u2), max (succ (max u3 u1)) (succ u2)} (AlgHom.{u1, max u3 u1, u2} R (MvPolynomial.{u3, u1} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (CommSemiring.toSemiring.{u2} S₁ _inst_2) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_3) (fun (_x : AlgHom.{u1, max u3 u1, u2} R (MvPolynomial.{u3, u1} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (CommSemiring.toSemiring.{u2} S₁ _inst_2) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_3) => (MvPolynomial.{u3, u1} σ R _inst_1) -> S₁) ([anonymous].{u1, max u3 u1, u2} R (MvPolynomial.{u3, u1} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (CommSemiring.toSemiring.{u2} S₁ _inst_2) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_3) (MvPolynomial.aeval.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 _inst_3 (OfNat.ofNat.{max u3 u2} (σ -> S₁) 0 (OfNat.mk.{max u3 u2} (σ -> S₁) 0 (Zero.zero.{max u3 u2} (σ -> S₁) (Pi.instZero.{u3, u2} σ (fun (ᾰ : σ) => S₁) (fun (i : σ) => MulZeroClass.toHasZero.{u2} S₁ (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S₁ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)))))))))) p) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (fun (_x : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) => R -> S₁) (RingHom.hasCoeToFun.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (algebraMap.{u1, u2} R S₁ _inst_1 (CommSemiring.toSemiring.{u2} S₁ _inst_2) _inst_3) (coeFn.{max (succ (max u3 u1)) (succ u1), max (succ (max u3 u1)) (succ u1)} (RingHom.{max u3 u1, u1} (MvPolynomial.{u3, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (fun (_x : RingHom.{max u3 u1, u1} (MvPolynomial.{u3, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) => (MvPolynomial.{u3, u1} σ R _inst_1) -> R) (RingHom.hasCoeToFun.{max u3 u1, u1} (MvPolynomial.{u3, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.constantCoeff.{u1, u3} R σ _inst_1) p))
 but is expected to have type
-  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] [_inst_3 : Algebra.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2)] (p : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u1, u2} σ R _inst_1) => S₁) p) (FunLike.coe.{max (max (succ u3) (succ u1)) (succ u2), max (succ u1) (succ u2), succ u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u1, u2} σ R _inst_1) => S₁) _x) (SMulHomClass.toFunLike.{max (max u3 u1) u2, u2, max u1 u2, u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (SMulZeroClass.toSMul.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (AddMonoid.toZero.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (DistribSMul.toSMulZeroClass.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (DistribMulAction.toDistribSMul.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))))))) (SMulZeroClass.toSMul.{u2, u3} R S₁ (AddMonoid.toZero.{u3} S₁ (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (DistribSMul.toSMulZeroClass.{u2, u3} R S₁ (AddMonoid.toAddZeroClass.{u3} S₁ (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (DistribMulAction.toDistribSMul.{u2, u3} R S₁ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))))) (Module.toDistribMulAction.{u2, u3} R S₁ (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (Algebra.toModule.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3))))) (DistribMulActionHomClass.toSMulHomClass.{max (max u3 u1) u2, u2, max u1 u2, u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (Module.toDistribMulAction.{u2, u3} R S₁ (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (Algebra.toModule.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max (max u3 u1) u2, u2, max u1 u2, u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (Module.toDistribMulAction.{u2, u3} R S₁ (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (Algebra.toModule.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u2, max u1 u2, u3, max (max u3 u1) u2} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3 (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) (AlgHom.algHomClass.{u2, max u1 u2, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3))))) (MvPolynomial.aeval.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 _inst_3 (OfNat.ofNat.{max u3 u1} (σ -> S₁) 0 (Zero.toOfNat0.{max u3 u1} (σ -> S₁) (Pi.instZero.{u1, u3} σ (fun (a._@.Mathlib.Data.MvPolynomial.Basic._hyg.20524 : σ) => S₁) (fun (i : σ) => CommMonoidWithZero.toZero.{u3} S₁ (CommSemiring.toCommMonoidWithZero.{u3} S₁ _inst_2)))))) p) (FunLike.coe.{max (succ u3) (succ u2), succ u2, succ u3} (RingHom.{u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (fun (_x : (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) => S₁) _x) (MulHomClass.toFunLike.{max u3 u2, u2, u3} (RingHom.{u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (NonUnitalNonAssocSemiring.toMul.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u3 u2, u2, u3} (RingHom.{u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u3 u2, u2, u3} (RingHom.{u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (algebraMap.{u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3) (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), succ u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) _x) (MulHomClass.toFunLike.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (RingHom.instRingHomClassRingHom.{max u1 u2, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))))) (MvPolynomial.constantCoeff.{u2, u1} R σ _inst_1) p))
+  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] [_inst_3 : Algebra.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2)] (p : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u1, u2} σ R _inst_1) => S₁) p) (FunLike.coe.{max (max (succ u3) (succ u1)) (succ u2), max (succ u1) (succ u2), succ u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u1, u2} σ R _inst_1) => S₁) _x) (SMulHomClass.toFunLike.{max (max u3 u1) u2, u2, max u1 u2, u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (SMulZeroClass.toSMul.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (AddMonoid.toZero.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (DistribSMul.toSMulZeroClass.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (DistribMulAction.toDistribSMul.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))))))) (SMulZeroClass.toSMul.{u2, u3} R S₁ (AddMonoid.toZero.{u3} S₁ (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (DistribSMul.toSMulZeroClass.{u2, u3} R S₁ (AddMonoid.toAddZeroClass.{u3} S₁ (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (DistribMulAction.toDistribSMul.{u2, u3} R S₁ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))))) (Module.toDistribMulAction.{u2, u3} R S₁ (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (Algebra.toModule.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3))))) (DistribMulActionHomClass.toSMulHomClass.{max (max u3 u1) u2, u2, max u1 u2, u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (Module.toDistribMulAction.{u2, u3} R S₁ (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (Algebra.toModule.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max (max u3 u1) u2, u2, max u1 u2, u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (Module.toDistribMulAction.{u2, u3} R S₁ (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (Algebra.toModule.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u2, max u1 u2, u3, max (max u3 u1) u2} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3 (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) (AlgHom.algHomClass.{u2, max u1 u2, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3))))) (MvPolynomial.aeval.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 _inst_3 (OfNat.ofNat.{max u3 u1} (σ -> S₁) 0 (Zero.toOfNat0.{max u3 u1} (σ -> S₁) (Pi.instZero.{u1, u3} σ (fun (a._@.Mathlib.Data.MvPolynomial.Basic._hyg.20761 : σ) => S₁) (fun (i : σ) => CommMonoidWithZero.toZero.{u3} S₁ (CommSemiring.toCommMonoidWithZero.{u3} S₁ _inst_2)))))) p) (FunLike.coe.{max (succ u3) (succ u2), succ u2, succ u3} (RingHom.{u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (fun (_x : (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) => S₁) _x) (MulHomClass.toFunLike.{max u3 u2, u2, u3} (RingHom.{u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (NonUnitalNonAssocSemiring.toMul.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u3 u2, u2, u3} (RingHom.{u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u3 u2, u2, u3} (RingHom.{u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (algebraMap.{u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3) (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), succ u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) _x) (MulHomClass.toFunLike.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (RingHom.instRingHomClassRingHom.{max u1 u2, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))))) (MvPolynomial.constantCoeff.{u2, u1} R σ _inst_1) p))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.aeval_zero MvPolynomial.aeval_zeroₓ'. -/
 @[simp]
 theorem aeval_zero (p : MvPolynomial σ R) :
@@ -2648,7 +2648,7 @@ theorem aeval_zero' (p : MvPolynomial σ R) :
 lean 3 declaration is
   forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R], Eq.{max (succ (max u2 u1)) (succ u1)} (RingHom.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.eval.{u1, u2} R σ _inst_1 (OfNat.ofNat.{max u2 u1} (σ -> R) 0 (OfNat.mk.{max u2 u1} (σ -> R) 0 (Zero.zero.{max u2 u1} (σ -> R) (Pi.instZero.{u2, u1} σ (fun (ᾰ : σ) => R) (fun (i : σ) => MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))))))) (MvPolynomial.constantCoeff.{u1, u2} R σ _inst_1)
 but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R], Eq.{max (succ u2) (succ u1)} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.eval.{u2, u1} R σ _inst_1 (OfNat.ofNat.{max u2 u1} (σ -> R) 0 (Zero.toOfNat0.{max u2 u1} (σ -> R) (Pi.instZero.{u1, u2} σ (fun (a._@.Mathlib.Data.MvPolynomial.Basic._hyg.20672 : σ) => R) (fun (i : σ) => CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1)))))) (MvPolynomial.constantCoeff.{u2, u1} R σ _inst_1)
+  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R], Eq.{max (succ u2) (succ u1)} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.eval.{u2, u1} R σ _inst_1 (OfNat.ofNat.{max u2 u1} (σ -> R) 0 (Zero.toOfNat0.{max u2 u1} (σ -> R) (Pi.instZero.{u1, u2} σ (fun (a._@.Mathlib.Data.MvPolynomial.Basic._hyg.20909 : σ) => R) (fun (i : σ) => CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1)))))) (MvPolynomial.constantCoeff.{u2, u1} R σ _inst_1)
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval_zero MvPolynomial.eval_zeroₓ'. -/
 @[simp]
 theorem eval_zero : eval (0 : σ → R) = constantCoeff :=

mathlib commit https://github.com/leanprover-community/mathlib/commit/7ebf83ed9c262adbf983ef64d5e8c2ae94b625f4

@@ -1312,7 +1312,7 @@ theorem support_symmDiff_support_subset_support_add [DecidableEq σ] (p q : MvPo
 
 /- warning: mv_polynomial.coeff_mul_monomial' -> MvPolynomial.coeff_mul_monomial' is a dubious translation:
 lean 3 declaration is
-  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] (m : Finsupp.{u2, 0} σ Nat Nat.hasZero) (s : Finsupp.{u2, 0} σ Nat Nat.hasZero) (r : R) (p : MvPolynomial.{u2, u1} σ R _inst_1), Eq.{succ u1} R (MvPolynomial.coeff.{u1, u2} R σ _inst_1 m (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Distrib.toHasMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))) p (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 s) r))) (ite.{succ u1} R (LE.le.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.hasLe.{u2, 0} σ Nat Nat.hasZero Nat.hasLe) s m) (Finsupp.decidableLE.{u2, 0} σ Nat (CanonicallyOrderedCommSemiring.toCanonicallyOrderedAddMonoid.{0} Nat Nat.canonicallyOrderedCommSemiring) (fun (a : Nat) (b : Nat) => Nat.decidableLe a b) s m) (HMul.hMul.{u1, u1, u1} R R R (instHMul.{u1} R (Distrib.toHasMul.{u1} R (NonUnitalNonAssocSemiring.toDistrib.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))) (MvPolynomial.coeff.{u1, u2} R σ _inst_1 (HSub.hSub.{u2, u2, u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.{u2, 0} σ Nat Nat.hasZero) (instHSub.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.tsub.{u2, 0} σ Nat (CanonicallyOrderedCommSemiring.toCanonicallyOrderedAddMonoid.{0} Nat Nat.canonicallyOrderedCommSemiring) Nat.hasSub Nat.hasOrderedSub)) m s) p) r) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))))))
+  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] (m : Finsupp.{u2, 0} σ Nat Nat.hasZero) (s : Finsupp.{u2, 0} σ Nat Nat.hasZero) (r : R) (p : MvPolynomial.{u2, u1} σ R _inst_1), Eq.{succ u1} R (MvPolynomial.coeff.{u1, u2} R σ _inst_1 m (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Distrib.toHasMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))) p (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 s) r))) (ite.{succ u1} R (LE.le.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.hasLe.{u2, 0} σ Nat Nat.hasZero Nat.hasLe) s m) (Finsupp.decidableLE.{u2, 0} σ Nat (CanonicallyOrderedCommSemiring.toCanonicallyOrderedAddMonoid.{0} Nat Nat.canonicallyOrderedCommSemiring) (fun (a : Nat) (b : Nat) => Nat.decidableLe a b) s m) (HMul.hMul.{u1, u1, u1} R R R (instHMul.{u1} R (Distrib.toHasMul.{u1} R (NonUnitalNonAssocSemiring.toDistrib.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))) (MvPolynomial.coeff.{u1, u2} R σ _inst_1 (HSub.hSub.{u2, u2, u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.{u2, 0} σ Nat Nat.hasZero) (instHSub.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.tsub.{u2, 0} σ Nat (CanonicallyOrderedCommSemiring.toCanonicallyOrderedAddMonoid.{0} Nat Nat.canonicallyOrderedCommSemiring) Nat.hasSub Nat.orderedSub)) m s) p) r) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))))))
 but is expected to have type
   forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] (m : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (s : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (r : R) (p : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{succ u2} R (MvPolynomial.coeff.{u2, u1} R σ _inst_1 m (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) r) (MvPolynomial.{u1, u2} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) p (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s) r))) (ite.{succ u2} R (LE.le.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.instLEFinsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) instLENat) s m) (Finsupp.decidableLE.{u1, 0} σ Nat (CanonicallyOrderedCommSemiring.toCanonicallyOrderedAddMonoid.{0} Nat Nat.canonicallyOrderedCommSemiring) (fun (a : Nat) (b : Nat) => Nat.decLe a b) s m) (HMul.hMul.{u2, u2, u2} R R R (instHMul.{u2} R (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) (MvPolynomial.coeff.{u2, u1} R σ _inst_1 (HSub.hSub.{u1, u1, u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (instHSub.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.tsub.{u1, 0} σ Nat (CanonicallyOrderedCommSemiring.toCanonicallyOrderedAddMonoid.{0} Nat Nat.canonicallyOrderedCommSemiring) instSubNat Nat.instOrderedSubNatInstLENatInstAddNatInstSubNat)) m s) p) r) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1)))))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.coeff_mul_monomial' MvPolynomial.coeff_mul_monomial'ₓ'. -/
@@ -1341,7 +1341,7 @@ theorem coeff_mul_monomial' (m) (s : σ →₀ ℕ) (r : R) (p : MvPolynomial σ
 
 /- warning: mv_polynomial.coeff_monomial_mul' -> MvPolynomial.coeff_monomial_mul' is a dubious translation:
 lean 3 declaration is
-  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] (m : Finsupp.{u2, 0} σ Nat Nat.hasZero) (s : Finsupp.{u2, 0} σ Nat Nat.hasZero) (r : R) (p : MvPolynomial.{u2, u1} σ R _inst_1), Eq.{succ u1} R (MvPolynomial.coeff.{u1, u2} R σ _inst_1 m (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Distrib.toHasMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 s) r) p)) (ite.{succ u1} R (LE.le.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.hasLe.{u2, 0} σ Nat Nat.hasZero Nat.hasLe) s m) (Finsupp.decidableLE.{u2, 0} σ Nat (CanonicallyOrderedCommSemiring.toCanonicallyOrderedAddMonoid.{0} Nat Nat.canonicallyOrderedCommSemiring) (fun (a : Nat) (b : Nat) => Nat.decidableLe a b) s m) (HMul.hMul.{u1, u1, u1} R R R (instHMul.{u1} R (Distrib.toHasMul.{u1} R (NonUnitalNonAssocSemiring.toDistrib.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))) r (MvPolynomial.coeff.{u1, u2} R σ _inst_1 (HSub.hSub.{u2, u2, u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.{u2, 0} σ Nat Nat.hasZero) (instHSub.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.tsub.{u2, 0} σ Nat (CanonicallyOrderedCommSemiring.toCanonicallyOrderedAddMonoid.{0} Nat Nat.canonicallyOrderedCommSemiring) Nat.hasSub Nat.hasOrderedSub)) m s) p)) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))))))
+  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] (m : Finsupp.{u2, 0} σ Nat Nat.hasZero) (s : Finsupp.{u2, 0} σ Nat Nat.hasZero) (r : R) (p : MvPolynomial.{u2, u1} σ R _inst_1), Eq.{succ u1} R (MvPolynomial.coeff.{u1, u2} R σ _inst_1 m (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Distrib.toHasMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 s) r) p)) (ite.{succ u1} R (LE.le.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.hasLe.{u2, 0} σ Nat Nat.hasZero Nat.hasLe) s m) (Finsupp.decidableLE.{u2, 0} σ Nat (CanonicallyOrderedCommSemiring.toCanonicallyOrderedAddMonoid.{0} Nat Nat.canonicallyOrderedCommSemiring) (fun (a : Nat) (b : Nat) => Nat.decidableLe a b) s m) (HMul.hMul.{u1, u1, u1} R R R (instHMul.{u1} R (Distrib.toHasMul.{u1} R (NonUnitalNonAssocSemiring.toDistrib.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))) r (MvPolynomial.coeff.{u1, u2} R σ _inst_1 (HSub.hSub.{u2, u2, u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.{u2, 0} σ Nat Nat.hasZero) (instHSub.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.tsub.{u2, 0} σ Nat (CanonicallyOrderedCommSemiring.toCanonicallyOrderedAddMonoid.{0} Nat Nat.canonicallyOrderedCommSemiring) Nat.hasSub Nat.orderedSub)) m s) p)) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))))))
 but is expected to have type
   forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] (m : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (s : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (r : R) (p : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{succ u2} R (MvPolynomial.coeff.{u2, u1} R σ _inst_1 m (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) r) (MvPolynomial.{u1, u2} σ R _inst_1) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) r) (instHMul.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) r) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) r) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) r) (Semiring.toNonAssocSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) r) (CommSemiring.toSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) r) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s) r) p)) (ite.{succ u2} R (LE.le.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.instLEFinsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) instLENat) s m) (Finsupp.decidableLE.{u1, 0} σ Nat (CanonicallyOrderedCommSemiring.toCanonicallyOrderedAddMonoid.{0} Nat Nat.canonicallyOrderedCommSemiring) (fun (a : Nat) (b : Nat) => Nat.decLe a b) s m) (HMul.hMul.{u2, u2, u2} R R R (instHMul.{u2} R (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) r (MvPolynomial.coeff.{u2, u1} R σ _inst_1 (HSub.hSub.{u1, u1, u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (instHSub.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.tsub.{u1, 0} σ Nat (CanonicallyOrderedCommSemiring.toCanonicallyOrderedAddMonoid.{0} Nat Nat.canonicallyOrderedCommSemiring) instSubNat Nat.instOrderedSubNatInstLENatInstAddNatInstSubNat)) m s) p)) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1)))))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.coeff_monomial_mul' MvPolynomial.coeff_monomial_mul'ₓ'. -/
@@ -1355,7 +1355,7 @@ theorem coeff_monomial_mul' (m) (s : σ →₀ ℕ) (r : R) (p : MvPolynomial σ
 
 /- warning: mv_polynomial.coeff_mul_X' -> MvPolynomial.coeff_mul_X' is a dubious translation:
 lean 3 declaration is
-  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_3 : DecidableEq.{succ u2} σ] (m : Finsupp.{u2, 0} σ Nat Nat.hasZero) (s : σ) (p : MvPolynomial.{u2, u1} σ R _inst_1), Eq.{succ u1} R (MvPolynomial.coeff.{u1, u2} R σ _inst_1 m (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Distrib.toHasMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))) p (MvPolynomial.X.{u1, u2} R σ _inst_1 s))) (ite.{succ u1} R (Membership.Mem.{u2, u2} σ (Finset.{u2} σ) (Finset.hasMem.{u2} σ) s (Finsupp.support.{u2, 0} σ Nat Nat.hasZero m)) (Finset.decidableMem.{u2} σ (fun (a : σ) (b : σ) => _inst_3 a b) s (Finsupp.support.{u2, 0} σ Nat Nat.hasZero m)) (MvPolynomial.coeff.{u1, u2} R σ _inst_1 (HSub.hSub.{u2, u2, u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.{u2, 0} σ Nat Nat.hasZero) (instHSub.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.tsub.{u2, 0} σ Nat (CanonicallyOrderedCommSemiring.toCanonicallyOrderedAddMonoid.{0} Nat Nat.canonicallyOrderedCommSemiring) Nat.hasSub Nat.hasOrderedSub)) m (Finsupp.single.{u2, 0} σ Nat Nat.hasZero s (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) p) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))))))
+  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_3 : DecidableEq.{succ u2} σ] (m : Finsupp.{u2, 0} σ Nat Nat.hasZero) (s : σ) (p : MvPolynomial.{u2, u1} σ R _inst_1), Eq.{succ u1} R (MvPolynomial.coeff.{u1, u2} R σ _inst_1 m (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Distrib.toHasMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))) p (MvPolynomial.X.{u1, u2} R σ _inst_1 s))) (ite.{succ u1} R (Membership.Mem.{u2, u2} σ (Finset.{u2} σ) (Finset.hasMem.{u2} σ) s (Finsupp.support.{u2, 0} σ Nat Nat.hasZero m)) (Finset.decidableMem.{u2} σ (fun (a : σ) (b : σ) => _inst_3 a b) s (Finsupp.support.{u2, 0} σ Nat Nat.hasZero m)) (MvPolynomial.coeff.{u1, u2} R σ _inst_1 (HSub.hSub.{u2, u2, u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.{u2, 0} σ Nat Nat.hasZero) (instHSub.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.tsub.{u2, 0} σ Nat (CanonicallyOrderedCommSemiring.toCanonicallyOrderedAddMonoid.{0} Nat Nat.canonicallyOrderedCommSemiring) Nat.hasSub Nat.orderedSub)) m (Finsupp.single.{u2, 0} σ Nat Nat.hasZero s (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) p) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))))))
 but is expected to have type
   forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_3 : DecidableEq.{succ u1} σ] (m : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (s : σ) (p : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{succ u2} R (MvPolynomial.coeff.{u2, u1} R σ _inst_1 m (HMul.hMul.{max u2 u1, max u1 u2, max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) p (MvPolynomial.X.{u2, u1} R σ _inst_1 s))) (ite.{succ u2} R (Membership.mem.{u1, u1} σ (Finset.{u1} σ) (Finset.instMembershipFinset.{u1} σ) s (Finsupp.support.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) m)) (Finset.decidableMem.{u1} σ (fun (a : σ) (b : σ) => _inst_3 a b) s (Finsupp.support.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) m)) (MvPolynomial.coeff.{u2, u1} R σ _inst_1 (HSub.hSub.{u1, u1, u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (instHSub.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.tsub.{u1, 0} σ Nat (CanonicallyOrderedCommSemiring.toCanonicallyOrderedAddMonoid.{0} Nat Nat.canonicallyOrderedCommSemiring) instSubNat Nat.instOrderedSubNatInstLENatInstAddNatInstSubNat)) m (Finsupp.single.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) s (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) p) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1)))))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.coeff_mul_X' MvPolynomial.coeff_mul_X'ₓ'. -/
@@ -1369,7 +1369,7 @@ theorem coeff_mul_X' [DecidableEq σ] (m) (s : σ) (p : MvPolynomial σ R) :
 
 /- warning: mv_polynomial.coeff_X_mul' -> MvPolynomial.coeff_X_mul' is a dubious translation:
 lean 3 declaration is
-  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_3 : DecidableEq.{succ u2} σ] (m : Finsupp.{u2, 0} σ Nat Nat.hasZero) (s : σ) (p : MvPolynomial.{u2, u1} σ R _inst_1), Eq.{succ u1} R (MvPolynomial.coeff.{u1, u2} R σ _inst_1 m (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Distrib.toHasMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))) (MvPolynomial.X.{u1, u2} R σ _inst_1 s) p)) (ite.{succ u1} R (Membership.Mem.{u2, u2} σ (Finset.{u2} σ) (Finset.hasMem.{u2} σ) s (Finsupp.support.{u2, 0} σ Nat Nat.hasZero m)) (Finset.decidableMem.{u2} σ (fun (a : σ) (b : σ) => _inst_3 a b) s (Finsupp.support.{u2, 0} σ Nat Nat.hasZero m)) (MvPolynomial.coeff.{u1, u2} R σ _inst_1 (HSub.hSub.{u2, u2, u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.{u2, 0} σ Nat Nat.hasZero) (instHSub.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.tsub.{u2, 0} σ Nat (CanonicallyOrderedCommSemiring.toCanonicallyOrderedAddMonoid.{0} Nat Nat.canonicallyOrderedCommSemiring) Nat.hasSub Nat.hasOrderedSub)) m (Finsupp.single.{u2, 0} σ Nat Nat.hasZero s (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) p) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))))))
+  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_3 : DecidableEq.{succ u2} σ] (m : Finsupp.{u2, 0} σ Nat Nat.hasZero) (s : σ) (p : MvPolynomial.{u2, u1} σ R _inst_1), Eq.{succ u1} R (MvPolynomial.coeff.{u1, u2} R σ _inst_1 m (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Distrib.toHasMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))) (MvPolynomial.X.{u1, u2} R σ _inst_1 s) p)) (ite.{succ u1} R (Membership.Mem.{u2, u2} σ (Finset.{u2} σ) (Finset.hasMem.{u2} σ) s (Finsupp.support.{u2, 0} σ Nat Nat.hasZero m)) (Finset.decidableMem.{u2} σ (fun (a : σ) (b : σ) => _inst_3 a b) s (Finsupp.support.{u2, 0} σ Nat Nat.hasZero m)) (MvPolynomial.coeff.{u1, u2} R σ _inst_1 (HSub.hSub.{u2, u2, u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.{u2, 0} σ Nat Nat.hasZero) (instHSub.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.tsub.{u2, 0} σ Nat (CanonicallyOrderedCommSemiring.toCanonicallyOrderedAddMonoid.{0} Nat Nat.canonicallyOrderedCommSemiring) Nat.hasSub Nat.orderedSub)) m (Finsupp.single.{u2, 0} σ Nat Nat.hasZero s (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) p) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))))))
 but is expected to have type
   forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_3 : DecidableEq.{succ u1} σ] (m : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (s : σ) (p : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{succ u2} R (MvPolynomial.coeff.{u2, u1} R σ _inst_1 m (HMul.hMul.{max u1 u2, max u2 u1, max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (instHMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (MvPolynomial.X.{u2, u1} R σ _inst_1 s) p)) (ite.{succ u2} R (Membership.mem.{u1, u1} σ (Finset.{u1} σ) (Finset.instMembershipFinset.{u1} σ) s (Finsupp.support.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) m)) (Finset.decidableMem.{u1} σ (fun (a : σ) (b : σ) => _inst_3 a b) s (Finsupp.support.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) m)) (MvPolynomial.coeff.{u2, u1} R σ _inst_1 (HSub.hSub.{u1, u1, u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (instHSub.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.tsub.{u1, 0} σ Nat (CanonicallyOrderedCommSemiring.toCanonicallyOrderedAddMonoid.{0} Nat Nat.canonicallyOrderedCommSemiring) instSubNat Nat.instOrderedSubNatInstLENatInstAddNatInstSubNat)) m (Finsupp.single.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) s (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) p) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1)))))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.coeff_X_mul' MvPolynomial.coeff_X_mul'ₓ'. -/

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

@@ -2433,6 +2433,12 @@ variable [Algebra R S₁] [CommSemiring S₂]
 
 variable (f : σ → S₁)
 
+/- warning: mv_polynomial.algebra_map_apply -> MvPolynomial.algebraMap_apply is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {S₁ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] [_inst_3 : Algebra.{u1, u2} R S₁ _inst_1 (CommSemiring.toSemiring.{u2} S₁ _inst_2)] (r : R), Eq.{max (succ u3) (succ u2)} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (coeFn.{max (succ u1) (succ (max u3 u2)), max (succ u1) (succ (max u3 u2))} (RingHom.{u1, max u3 u2} R (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))) (fun (_x : RingHom.{u1, max u3 u2} R (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))) => R -> (MvPolynomial.{u3, u2} σ S₁ _inst_2)) (RingHom.hasCoeToFun.{u1, max u3 u2} R (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))) (algebraMap.{u1, max u3 u2} R (MvPolynomial.{u3, u2} σ S₁ _inst_2) _inst_1 (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)) (MvPolynomial.algebra.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 _inst_3)) r) (coeFn.{max (succ u2) (succ (max u3 u2)), max (succ u2) (succ (max u3 u2))} (RingHom.{u2, max u3 u2} S₁ (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))) (fun (_x : RingHom.{u2, max u3 u2} S₁ (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))) => S₁ -> (MvPolynomial.{u3, u2} σ S₁ _inst_2)) (RingHom.hasCoeToFun.{u2, max u3 u2} S₁ (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))) (MvPolynomial.C.{u2, u3} S₁ σ _inst_2) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (fun (_x : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) => R -> S₁) (RingHom.hasCoeToFun.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (algebraMap.{u1, u2} R S₁ _inst_1 (CommSemiring.toSemiring.{u2} S₁ _inst_2) _inst_3) r))
+but is expected to have type
+  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] [_inst_3 : Algebra.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2)] (r : R), Eq.{max (succ u3) (succ u1)} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u3} σ S₁ _inst_2) r) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), succ u2, max (succ u3) (succ u1)} (RingHom.{u2, max u3 u1} R (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u3} σ S₁ _inst_2) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, u2, max u3 u1} (RingHom.{u2, max u3 u1} R (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) R (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, u2, max u3 u1} (RingHom.{u2, max u3 u1} R (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) R (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, u2, max u3 u1} (RingHom.{u2, max u3 u1} R (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) R (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (RingHom.instRingHomClassRingHom.{u2, max u3 u1} R (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))))) (algebraMap.{u2, max u3 u1} R (MvPolynomial.{u1, u3} σ S₁ _inst_2) _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)) (MvPolynomial.algebra.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 _inst_3)) r) (FunLike.coe.{max (succ u1) (succ u3), succ u3, max (succ u1) (succ u3)} (RingHom.{u3, max u3 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) _inst_2) (Semiring.toNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) _inst_2)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) _inst_2) (MvPolynomial.commSemiring.{u3, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) σ _inst_2)))) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) (fun (_x : (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) => MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) _inst_2) _x) (MulHomClass.toFunLike.{max u1 u3, u3, max u1 u3} (RingHom.{u3, max u3 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) _inst_2) (Semiring.toNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) _inst_2)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) _inst_2) (MvPolynomial.commSemiring.{u3, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) σ _inst_2)))) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) _inst_2) (NonUnitalNonAssocSemiring.toMul.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) (Semiring.toNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) _inst_2)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u3} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) _inst_2) (MvPolynomial.commSemiring.{u3, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) σ _inst_2))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u3, u3, max u1 u3} (RingHom.{u3, max u3 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) _inst_2) (Semiring.toNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) _inst_2)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) _inst_2) (MvPolynomial.commSemiring.{u3, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) σ _inst_2)))) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) (Semiring.toNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) _inst_2))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) _inst_2) (MvPolynomial.commSemiring.{u3, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) σ _inst_2)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u3, u3, max u1 u3} (RingHom.{u3, max u3 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) _inst_2) (Semiring.toNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) _inst_2)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) _inst_2) (MvPolynomial.commSemiring.{u3, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) σ _inst_2)))) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) _inst_2) (Semiring.toNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) _inst_2)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) _inst_2) (MvPolynomial.commSemiring.{u3, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) σ _inst_2))) (RingHom.instRingHomClassRingHom.{u3, max u1 u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) _inst_2) (Semiring.toNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) _inst_2)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) _inst_2) (MvPolynomial.commSemiring.{u3, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) σ _inst_2))))))) (MvPolynomial.C.{u3, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) σ _inst_2) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) _x) (MulHomClass.toFunLike.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (algebraMap.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3) r))
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.algebra_map_apply MvPolynomial.algebraMap_applyₓ'. -/
 theorem algebraMap_apply (r : R) : algebraMap R (MvPolynomial σ S₁) r = C (algebraMap R S₁ r) :=
   rfl
 #align mv_polynomial.algebra_map_apply MvPolynomial.algebraMap_apply
@@ -2550,7 +2556,7 @@ theorem map_aeval {B : Type _} [CommSemiring B] (g : σ → S₁) (φ : S₁ →
 lean 3 declaration is
   forall {R : Type.{u1}} {S₂ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_4 : CommSemiring.{u2} S₂] (f : RingHom.{u1, u2} R S₂ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4))), Eq.{max (succ (max u3 u1)) (succ u2)} (RingHom.{max u3 u1, u2} (MvPolynomial.{u3, u1} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4))) (MvPolynomial.eval₂Hom.{u1, u2, u3} R S₂ σ _inst_1 _inst_4 f (OfNat.ofNat.{max u3 u2} (σ -> S₂) 0 (OfNat.mk.{max u3 u2} (σ -> S₂) 0 (Zero.zero.{max u3 u2} (σ -> S₂) (Pi.instZero.{u3, u2} σ (fun (ᾰ : σ) => S₂) (fun (i : σ) => MulZeroClass.toHasZero.{u2} S₂ (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S₂ (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4)))))))))) (RingHom.comp.{max u3 u1, u1, u2} (MvPolynomial.{u3, u1} σ R _inst_1) R S₂ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4)) f (MvPolynomial.constantCoeff.{u1, u3} R σ _inst_1))
 but is expected to have type
-  forall {R : Type.{u2}} {S₂ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_4 : CommSemiring.{u3} S₂] (f : RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))), Eq.{max (max (succ u2) (succ u3)) (succ u1)} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (MvPolynomial.eval₂Hom.{u2, u3, u1} R S₂ σ _inst_1 _inst_4 f (OfNat.ofNat.{max u3 u1} (σ -> S₂) 0 (Zero.toOfNat0.{max u3 u1} (σ -> S₂) (Pi.instZero.{u1, u3} σ (fun (a._@.Mathlib.Data.MvPolynomial.Basic._hyg.19995 : σ) => S₂) (fun (i : σ) => CommMonoidWithZero.toZero.{u3} S₂ (CommSemiring.toCommMonoidWithZero.{u3} S₂ _inst_4)))))) (RingHom.comp.{max u1 u2, u2, u3} (MvPolynomial.{u1, u2} σ R _inst_1) R S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)) f (MvPolynomial.constantCoeff.{u2, u1} R σ _inst_1))
+  forall {R : Type.{u2}} {S₂ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_4 : CommSemiring.{u3} S₂] (f : RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))), Eq.{max (max (succ u2) (succ u3)) (succ u1)} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (MvPolynomial.eval₂Hom.{u2, u3, u1} R S₂ σ _inst_1 _inst_4 f (OfNat.ofNat.{max u3 u1} (σ -> S₂) 0 (Zero.toOfNat0.{max u3 u1} (σ -> S₂) (Pi.instZero.{u1, u3} σ (fun (a._@.Mathlib.Data.MvPolynomial.Basic._hyg.20063 : σ) => S₂) (fun (i : σ) => CommMonoidWithZero.toZero.{u3} S₂ (CommSemiring.toCommMonoidWithZero.{u3} S₂ _inst_4)))))) (RingHom.comp.{max u1 u2, u2, u3} (MvPolynomial.{u1, u2} σ R _inst_1) R S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)) f (MvPolynomial.constantCoeff.{u2, u1} R σ _inst_1))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval₂_hom_zero MvPolynomial.eval₂Hom_zeroₓ'. -/
 @[simp]
 theorem eval₂Hom_zero (f : R →+* S₂) : eval₂Hom f (0 : σ → S₂) = f.comp constantCoeff := by
@@ -2572,7 +2578,7 @@ theorem eval₂Hom_zero' (f : R →+* S₂) : eval₂Hom f (fun _ => 0 : σ →
 lean 3 declaration is
   forall {R : Type.{u1}} {S₂ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_4 : CommSemiring.{u2} S₂] (f : RingHom.{u1, u2} R S₂ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4))) (p : MvPolynomial.{u3, u1} σ R _inst_1), Eq.{succ u2} S₂ (coeFn.{max (succ (max u3 u1)) (succ u2), max (succ (max u3 u1)) (succ u2)} (RingHom.{max u3 u1, u2} (MvPolynomial.{u3, u1} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4))) (fun (_x : RingHom.{max u3 u1, u2} (MvPolynomial.{u3, u1} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4))) => (MvPolynomial.{u3, u1} σ R _inst_1) -> S₂) (RingHom.hasCoeToFun.{max u3 u1, u2} (MvPolynomial.{u3, u1} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4))) (MvPolynomial.eval₂Hom.{u1, u2, u3} R S₂ σ _inst_1 _inst_4 f (OfNat.ofNat.{max u3 u2} (σ -> S₂) 0 (OfNat.mk.{max u3 u2} (σ -> S₂) 0 (Zero.zero.{max u3 u2} (σ -> S₂) (Pi.instZero.{u3, u2} σ (fun (ᾰ : σ) => S₂) (fun (i : σ) => MulZeroClass.toHasZero.{u2} S₂ (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S₂ (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4)))))))))) p) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R S₂ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4))) (fun (_x : RingHom.{u1, u2} R S₂ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4))) => R -> S₂) (RingHom.hasCoeToFun.{u1, u2} R S₂ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4))) f (coeFn.{max (succ (max u3 u1)) (succ u1), max (succ (max u3 u1)) (succ u1)} (RingHom.{max u3 u1, u1} (MvPolynomial.{u3, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (fun (_x : RingHom.{max u3 u1, u1} (MvPolynomial.{u3, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) => (MvPolynomial.{u3, u1} σ R _inst_1) -> R) (RingHom.hasCoeToFun.{max u3 u1, u1} (MvPolynomial.{u3, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.constantCoeff.{u1, u3} R σ _inst_1) p))
 but is expected to have type
-  forall {R : Type.{u2}} {S₂ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_4 : CommSemiring.{u3} S₂] (f : RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (p : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => S₂) p) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u2) (succ u1), succ u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => S₂) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u3} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)) (RingHom.instRingHomClassRingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)))))) (MvPolynomial.eval₂Hom.{u2, u3, u1} R S₂ σ _inst_1 _inst_4 f (OfNat.ofNat.{max u3 u1} (σ -> S₂) 0 (Zero.toOfNat0.{max u3 u1} (σ -> S₂) (Pi.instZero.{u1, u3} σ (fun (a._@.Mathlib.Data.MvPolynomial.Basic._hyg.20149 : σ) => S₂) (fun (i : σ) => CommMonoidWithZero.toZero.{u3} S₂ (CommSemiring.toCommMonoidWithZero.{u3} S₂ _inst_4)))))) p) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₂) _x) (MulHomClass.toFunLike.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) R S₂ (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) R S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)) (RingHom.instRingHomClassRingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)))))) f (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), succ u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) _x) (MulHomClass.toFunLike.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (RingHom.instRingHomClassRingHom.{max u1 u2, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))))) (MvPolynomial.constantCoeff.{u2, u1} R σ _inst_1) p))
+  forall {R : Type.{u2}} {S₂ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_4 : CommSemiring.{u3} S₂] (f : RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (p : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => S₂) p) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u2) (succ u1), succ u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => S₂) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u3} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)) (RingHom.instRingHomClassRingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)))))) (MvPolynomial.eval₂Hom.{u2, u3, u1} R S₂ σ _inst_1 _inst_4 f (OfNat.ofNat.{max u3 u1} (σ -> S₂) 0 (Zero.toOfNat0.{max u3 u1} (σ -> S₂) (Pi.instZero.{u1, u3} σ (fun (a._@.Mathlib.Data.MvPolynomial.Basic._hyg.20217 : σ) => S₂) (fun (i : σ) => CommMonoidWithZero.toZero.{u3} S₂ (CommSemiring.toCommMonoidWithZero.{u3} S₂ _inst_4)))))) p) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₂) _x) (MulHomClass.toFunLike.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) R S₂ (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) R S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)) (RingHom.instRingHomClassRingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)))))) f (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), succ u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) _x) (MulHomClass.toFunLike.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (RingHom.instRingHomClassRingHom.{max u1 u2, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))))) (MvPolynomial.constantCoeff.{u2, u1} R σ _inst_1) p))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval₂_hom_zero_apply MvPolynomial.eval₂Hom_zero_applyₓ'. -/
 theorem eval₂Hom_zero_apply (f : R →+* S₂) (p : MvPolynomial σ R) :
     eval₂Hom f (0 : σ → S₂) p = f (constantCoeff p) :=
@@ -2594,7 +2600,7 @@ theorem eval₂Hom_zero'_apply (f : R →+* S₂) (p : MvPolynomial σ R) :
 lean 3 declaration is
   forall {R : Type.{u1}} {S₂ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_4 : CommSemiring.{u2} S₂] (f : RingHom.{u1, u2} R S₂ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4))) (p : MvPolynomial.{u3, u1} σ R _inst_1), Eq.{succ u2} S₂ (MvPolynomial.eval₂.{u1, u2, u3} R S₂ σ _inst_1 _inst_4 f (OfNat.ofNat.{max u3 u2} (σ -> S₂) 0 (OfNat.mk.{max u3 u2} (σ -> S₂) 0 (Zero.zero.{max u3 u2} (σ -> S₂) (Pi.instZero.{u3, u2} σ (fun (ᾰ : σ) => S₂) (fun (i : σ) => MulZeroClass.toHasZero.{u2} S₂ (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S₂ (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4))))))))) p) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R S₂ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4))) (fun (_x : RingHom.{u1, u2} R S₂ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4))) => R -> S₂) (RingHom.hasCoeToFun.{u1, u2} R S₂ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4))) f (coeFn.{max (succ (max u3 u1)) (succ u1), max (succ (max u3 u1)) (succ u1)} (RingHom.{max u3 u1, u1} (MvPolynomial.{u3, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (fun (_x : RingHom.{max u3 u1, u1} (MvPolynomial.{u3, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) => (MvPolynomial.{u3, u1} σ R _inst_1) -> R) (RingHom.hasCoeToFun.{max u3 u1, u1} (MvPolynomial.{u3, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.constantCoeff.{u1, u3} R σ _inst_1) p))
 but is expected to have type
-  forall {R : Type.{u2}} {S₂ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_4 : CommSemiring.{u3} S₂] (f : RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (p : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{succ u3} S₂ (MvPolynomial.eval₂.{u2, u3, u1} R S₂ σ _inst_1 _inst_4 f (OfNat.ofNat.{max u3 u1} (σ -> S₂) 0 (Zero.toOfNat0.{max u3 u1} (σ -> S₂) (Pi.instZero.{u1, u3} σ (fun (a._@.Mathlib.Data.MvPolynomial.Basic._hyg.20308 : σ) => S₂) (fun (i : σ) => CommMonoidWithZero.toZero.{u3} S₂ (CommSemiring.toCommMonoidWithZero.{u3} S₂ _inst_4))))) p) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₂) _x) (MulHomClass.toFunLike.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) R S₂ (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) R S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)) (RingHom.instRingHomClassRingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)))))) f (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), succ u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) _x) (MulHomClass.toFunLike.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (RingHom.instRingHomClassRingHom.{max u1 u2, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))))) (MvPolynomial.constantCoeff.{u2, u1} R σ _inst_1) p))
+  forall {R : Type.{u2}} {S₂ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_4 : CommSemiring.{u3} S₂] (f : RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (p : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{succ u3} S₂ (MvPolynomial.eval₂.{u2, u3, u1} R S₂ σ _inst_1 _inst_4 f (OfNat.ofNat.{max u3 u1} (σ -> S₂) 0 (Zero.toOfNat0.{max u3 u1} (σ -> S₂) (Pi.instZero.{u1, u3} σ (fun (a._@.Mathlib.Data.MvPolynomial.Basic._hyg.20376 : σ) => S₂) (fun (i : σ) => CommMonoidWithZero.toZero.{u3} S₂ (CommSemiring.toCommMonoidWithZero.{u3} S₂ _inst_4))))) p) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₂) _x) (MulHomClass.toFunLike.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) R S₂ (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) R S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)) (RingHom.instRingHomClassRingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)))))) f (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), succ u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) _x) (MulHomClass.toFunLike.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (RingHom.instRingHomClassRingHom.{max u1 u2, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))))) (MvPolynomial.constantCoeff.{u2, u1} R σ _inst_1) p))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval₂_zero_apply MvPolynomial.eval₂_zero_applyₓ'. -/
 @[simp]
 theorem eval₂_zero_apply (f : R →+* S₂) (p : MvPolynomial σ R) :
@@ -2618,7 +2624,7 @@ theorem eval₂_zero'_apply (f : R →+* S₂) (p : MvPolynomial σ R) :
 lean 3 declaration is
   forall {R : Type.{u1}} {S₁ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] [_inst_3 : Algebra.{u1, u2} R S₁ _inst_1 (CommSemiring.toSemiring.{u2} S₁ _inst_2)] (p : MvPolynomial.{u3, u1} σ R _inst_1), Eq.{succ u2} S₁ (coeFn.{max (succ (max u3 u1)) (succ u2), max (succ (max u3 u1)) (succ u2)} (AlgHom.{u1, max u3 u1, u2} R (MvPolynomial.{u3, u1} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (CommSemiring.toSemiring.{u2} S₁ _inst_2) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_3) (fun (_x : AlgHom.{u1, max u3 u1, u2} R (MvPolynomial.{u3, u1} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (CommSemiring.toSemiring.{u2} S₁ _inst_2) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_3) => (MvPolynomial.{u3, u1} σ R _inst_1) -> S₁) ([anonymous].{u1, max u3 u1, u2} R (MvPolynomial.{u3, u1} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (CommSemiring.toSemiring.{u2} S₁ _inst_2) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_3) (MvPolynomial.aeval.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 _inst_3 (OfNat.ofNat.{max u3 u2} (σ -> S₁) 0 (OfNat.mk.{max u3 u2} (σ -> S₁) 0 (Zero.zero.{max u3 u2} (σ -> S₁) (Pi.instZero.{u3, u2} σ (fun (ᾰ : σ) => S₁) (fun (i : σ) => MulZeroClass.toHasZero.{u2} S₁ (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S₁ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)))))))))) p) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (fun (_x : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) => R -> S₁) (RingHom.hasCoeToFun.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (algebraMap.{u1, u2} R S₁ _inst_1 (CommSemiring.toSemiring.{u2} S₁ _inst_2) _inst_3) (coeFn.{max (succ (max u3 u1)) (succ u1), max (succ (max u3 u1)) (succ u1)} (RingHom.{max u3 u1, u1} (MvPolynomial.{u3, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (fun (_x : RingHom.{max u3 u1, u1} (MvPolynomial.{u3, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) => (MvPolynomial.{u3, u1} σ R _inst_1) -> R) (RingHom.hasCoeToFun.{max u3 u1, u1} (MvPolynomial.{u3, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.constantCoeff.{u1, u3} R σ _inst_1) p))
 but is expected to have type
-  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] [_inst_3 : Algebra.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2)] (p : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u1, u2} σ R _inst_1) => S₁) p) (FunLike.coe.{max (max (succ u3) (succ u1)) (succ u2), max (succ u1) (succ u2), succ u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u1, u2} σ R _inst_1) => S₁) _x) (SMulHomClass.toFunLike.{max (max u3 u1) u2, u2, max u1 u2, u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (SMulZeroClass.toSMul.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (AddMonoid.toZero.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (DistribSMul.toSMulZeroClass.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (DistribMulAction.toDistribSMul.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))))))) (SMulZeroClass.toSMul.{u2, u3} R S₁ (AddMonoid.toZero.{u3} S₁ (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (DistribSMul.toSMulZeroClass.{u2, u3} R S₁ (AddMonoid.toAddZeroClass.{u3} S₁ (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (DistribMulAction.toDistribSMul.{u2, u3} R S₁ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))))) (Module.toDistribMulAction.{u2, u3} R S₁ (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (Algebra.toModule.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3))))) (DistribMulActionHomClass.toSMulHomClass.{max (max u3 u1) u2, u2, max u1 u2, u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (Module.toDistribMulAction.{u2, u3} R S₁ (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (Algebra.toModule.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max (max u3 u1) u2, u2, max u1 u2, u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (Module.toDistribMulAction.{u2, u3} R S₁ (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (Algebra.toModule.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u2, max u1 u2, u3, max (max u3 u1) u2} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3 (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) (AlgHom.algHomClass.{u2, max u1 u2, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3))))) (MvPolynomial.aeval.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 _inst_3 (OfNat.ofNat.{max u3 u1} (σ -> S₁) 0 (Zero.toOfNat0.{max u3 u1} (σ -> S₁) (Pi.instZero.{u1, u3} σ (fun (a._@.Mathlib.Data.MvPolynomial.Basic._hyg.20456 : σ) => S₁) (fun (i : σ) => CommMonoidWithZero.toZero.{u3} S₁ (CommSemiring.toCommMonoidWithZero.{u3} S₁ _inst_2)))))) p) (FunLike.coe.{max (succ u3) (succ u2), succ u2, succ u3} (RingHom.{u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (fun (_x : (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) => S₁) _x) (MulHomClass.toFunLike.{max u3 u2, u2, u3} (RingHom.{u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (NonUnitalNonAssocSemiring.toMul.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u3 u2, u2, u3} (RingHom.{u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u3 u2, u2, u3} (RingHom.{u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (algebraMap.{u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3) (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), succ u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) _x) (MulHomClass.toFunLike.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (RingHom.instRingHomClassRingHom.{max u1 u2, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))))) (MvPolynomial.constantCoeff.{u2, u1} R σ _inst_1) p))
+  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] [_inst_3 : Algebra.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2)] (p : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u1, u2} σ R _inst_1) => S₁) p) (FunLike.coe.{max (max (succ u3) (succ u1)) (succ u2), max (succ u1) (succ u2), succ u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u1, u2} σ R _inst_1) => S₁) _x) (SMulHomClass.toFunLike.{max (max u3 u1) u2, u2, max u1 u2, u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (SMulZeroClass.toSMul.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (AddMonoid.toZero.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (DistribSMul.toSMulZeroClass.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (DistribMulAction.toDistribSMul.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))))))) (SMulZeroClass.toSMul.{u2, u3} R S₁ (AddMonoid.toZero.{u3} S₁ (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (DistribSMul.toSMulZeroClass.{u2, u3} R S₁ (AddMonoid.toAddZeroClass.{u3} S₁ (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (DistribMulAction.toDistribSMul.{u2, u3} R S₁ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))))) (Module.toDistribMulAction.{u2, u3} R S₁ (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (Algebra.toModule.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3))))) (DistribMulActionHomClass.toSMulHomClass.{max (max u3 u1) u2, u2, max u1 u2, u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (Module.toDistribMulAction.{u2, u3} R S₁ (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (Algebra.toModule.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max (max u3 u1) u2, u2, max u1 u2, u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (Module.toDistribMulAction.{u2, u3} R S₁ (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (Algebra.toModule.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u2, max u1 u2, u3, max (max u3 u1) u2} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3 (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) (AlgHom.algHomClass.{u2, max u1 u2, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3))))) (MvPolynomial.aeval.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 _inst_3 (OfNat.ofNat.{max u3 u1} (σ -> S₁) 0 (Zero.toOfNat0.{max u3 u1} (σ -> S₁) (Pi.instZero.{u1, u3} σ (fun (a._@.Mathlib.Data.MvPolynomial.Basic._hyg.20524 : σ) => S₁) (fun (i : σ) => CommMonoidWithZero.toZero.{u3} S₁ (CommSemiring.toCommMonoidWithZero.{u3} S₁ _inst_2)))))) p) (FunLike.coe.{max (succ u3) (succ u2), succ u2, succ u3} (RingHom.{u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (fun (_x : (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) => S₁) _x) (MulHomClass.toFunLike.{max u3 u2, u2, u3} (RingHom.{u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (NonUnitalNonAssocSemiring.toMul.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u3 u2, u2, u3} (RingHom.{u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u3 u2, u2, u3} (RingHom.{u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (algebraMap.{u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3) (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), succ u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) _x) (MulHomClass.toFunLike.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (RingHom.instRingHomClassRingHom.{max u1 u2, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))))) (MvPolynomial.constantCoeff.{u2, u1} R σ _inst_1) p))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.aeval_zero MvPolynomial.aeval_zeroₓ'. -/
 @[simp]
 theorem aeval_zero (p : MvPolynomial σ R) :
@@ -2642,7 +2648,7 @@ theorem aeval_zero' (p : MvPolynomial σ R) :
 lean 3 declaration is
   forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R], Eq.{max (succ (max u2 u1)) (succ u1)} (RingHom.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.eval.{u1, u2} R σ _inst_1 (OfNat.ofNat.{max u2 u1} (σ -> R) 0 (OfNat.mk.{max u2 u1} (σ -> R) 0 (Zero.zero.{max u2 u1} (σ -> R) (Pi.instZero.{u2, u1} σ (fun (ᾰ : σ) => R) (fun (i : σ) => MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))))))) (MvPolynomial.constantCoeff.{u1, u2} R σ _inst_1)
 but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R], Eq.{max (succ u2) (succ u1)} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.eval.{u2, u1} R σ _inst_1 (OfNat.ofNat.{max u2 u1} (σ -> R) 0 (Zero.toOfNat0.{max u2 u1} (σ -> R) (Pi.instZero.{u1, u2} σ (fun (a._@.Mathlib.Data.MvPolynomial.Basic._hyg.20604 : σ) => R) (fun (i : σ) => CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1)))))) (MvPolynomial.constantCoeff.{u2, u1} R σ _inst_1)
+  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R], Eq.{max (succ u2) (succ u1)} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.eval.{u2, u1} R σ _inst_1 (OfNat.ofNat.{max u2 u1} (σ -> R) 0 (Zero.toOfNat0.{max u2 u1} (σ -> R) (Pi.instZero.{u1, u2} σ (fun (a._@.Mathlib.Data.MvPolynomial.Basic._hyg.20672 : σ) => R) (fun (i : σ) => CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1)))))) (MvPolynomial.constantCoeff.{u2, u1} R σ _inst_1)
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval_zero MvPolynomial.eval_zeroₓ'. -/
 @[simp]
 theorem eval_zero : eval (0 : σ → R) = constantCoeff :=

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

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Johannes Hölzl, Johan Commelin, Mario Carneiro
 
 ! This file was ported from Lean 3 source module data.mv_polynomial.basic
-! leanprover-community/mathlib commit 2d5739b61641ee4e7e53eca5688a08f66f2e6a60
+! leanprover-community/mathlib commit 932872382355f00112641d305ba0619305dc8642
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -17,6 +17,9 @@ import Mathbin.RingTheory.Adjoin.Basic
 /-!
 # Multivariate polynomials
 
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
+
 This file defines polynomial rings over a base ring (or even semiring),
 with variables from a general type `σ` (which could be infinite).
 

mathlib commit https://github.com/leanprover-community/mathlib/commit/02ba8949f486ebecf93fe7460f1ed0564b5e442c

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Johannes Hölzl, Johan Commelin, Mario Carneiro
 
 ! This file was ported from Lean 3 source module data.mv_polynomial.basic
-! leanprover-community/mathlib commit 65902a4a1a39ff6fdfb657a35dde2579dbb4a155
+! leanprover-community/mathlib commit 2d5739b61641ee4e7e53eca5688a08f66f2e6a60
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -2430,6 +2430,10 @@ variable [Algebra R S₁] [CommSemiring S₂]
 
 variable (f : σ → S₁)
 
+theorem algebraMap_apply (r : R) : algebraMap R (MvPolynomial σ S₁) r = C (algebraMap R S₁ r) :=
+  rfl
+#align mv_polynomial.algebra_map_apply MvPolynomial.algebraMap_apply
+
 #print MvPolynomial.aeval /-
 /-- A map `σ → S₁` where `S₁` is an algebra over `R` generates an `R`-algebra homomorphism
 from multivariate polynomials over `σ` to `S₁`. -/

mathlib commit https://github.com/leanprover-community/mathlib/commit/ce7e9d53d4bbc38065db3b595cd5bd73c323bc1d

@@ -2543,7 +2543,7 @@ theorem map_aeval {B : Type _} [CommSemiring B] (g : σ → S₁) (φ : S₁ →
 lean 3 declaration is
   forall {R : Type.{u1}} {S₂ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_4 : CommSemiring.{u2} S₂] (f : RingHom.{u1, u2} R S₂ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4))), Eq.{max (succ (max u3 u1)) (succ u2)} (RingHom.{max u3 u1, u2} (MvPolynomial.{u3, u1} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4))) (MvPolynomial.eval₂Hom.{u1, u2, u3} R S₂ σ _inst_1 _inst_4 f (OfNat.ofNat.{max u3 u2} (σ -> S₂) 0 (OfNat.mk.{max u3 u2} (σ -> S₂) 0 (Zero.zero.{max u3 u2} (σ -> S₂) (Pi.instZero.{u3, u2} σ (fun (ᾰ : σ) => S₂) (fun (i : σ) => MulZeroClass.toHasZero.{u2} S₂ (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S₂ (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4)))))))))) (RingHom.comp.{max u3 u1, u1, u2} (MvPolynomial.{u3, u1} σ R _inst_1) R S₂ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4)) f (MvPolynomial.constantCoeff.{u1, u3} R σ _inst_1))
 but is expected to have type
-  forall {R : Type.{u2}} {S₂ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_4 : CommSemiring.{u3} S₂] (f : RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))), Eq.{max (max (succ u2) (succ u3)) (succ u1)} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (MvPolynomial.eval₂Hom.{u2, u3, u1} R S₂ σ _inst_1 _inst_4 f (OfNat.ofNat.{max u3 u1} (σ -> S₂) 0 (Zero.toOfNat0.{max u3 u1} (σ -> S₂) (Pi.instZero.{u1, u3} σ (fun (a._@.Mathlib.Data.MvPolynomial.Basic._hyg.19872 : σ) => S₂) (fun (i : σ) => CommMonoidWithZero.toZero.{u3} S₂ (CommSemiring.toCommMonoidWithZero.{u3} S₂ _inst_4)))))) (RingHom.comp.{max u1 u2, u2, u3} (MvPolynomial.{u1, u2} σ R _inst_1) R S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)) f (MvPolynomial.constantCoeff.{u2, u1} R σ _inst_1))
+  forall {R : Type.{u2}} {S₂ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_4 : CommSemiring.{u3} S₂] (f : RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))), Eq.{max (max (succ u2) (succ u3)) (succ u1)} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (MvPolynomial.eval₂Hom.{u2, u3, u1} R S₂ σ _inst_1 _inst_4 f (OfNat.ofNat.{max u3 u1} (σ -> S₂) 0 (Zero.toOfNat0.{max u3 u1} (σ -> S₂) (Pi.instZero.{u1, u3} σ (fun (a._@.Mathlib.Data.MvPolynomial.Basic._hyg.19995 : σ) => S₂) (fun (i : σ) => CommMonoidWithZero.toZero.{u3} S₂ (CommSemiring.toCommMonoidWithZero.{u3} S₂ _inst_4)))))) (RingHom.comp.{max u1 u2, u2, u3} (MvPolynomial.{u1, u2} σ R _inst_1) R S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)) f (MvPolynomial.constantCoeff.{u2, u1} R σ _inst_1))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval₂_hom_zero MvPolynomial.eval₂Hom_zeroₓ'. -/
 @[simp]
 theorem eval₂Hom_zero (f : R →+* S₂) : eval₂Hom f (0 : σ → S₂) = f.comp constantCoeff := by
@@ -2565,7 +2565,7 @@ theorem eval₂Hom_zero' (f : R →+* S₂) : eval₂Hom f (fun _ => 0 : σ →
 lean 3 declaration is
   forall {R : Type.{u1}} {S₂ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_4 : CommSemiring.{u2} S₂] (f : RingHom.{u1, u2} R S₂ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4))) (p : MvPolynomial.{u3, u1} σ R _inst_1), Eq.{succ u2} S₂ (coeFn.{max (succ (max u3 u1)) (succ u2), max (succ (max u3 u1)) (succ u2)} (RingHom.{max u3 u1, u2} (MvPolynomial.{u3, u1} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4))) (fun (_x : RingHom.{max u3 u1, u2} (MvPolynomial.{u3, u1} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4))) => (MvPolynomial.{u3, u1} σ R _inst_1) -> S₂) (RingHom.hasCoeToFun.{max u3 u1, u2} (MvPolynomial.{u3, u1} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4))) (MvPolynomial.eval₂Hom.{u1, u2, u3} R S₂ σ _inst_1 _inst_4 f (OfNat.ofNat.{max u3 u2} (σ -> S₂) 0 (OfNat.mk.{max u3 u2} (σ -> S₂) 0 (Zero.zero.{max u3 u2} (σ -> S₂) (Pi.instZero.{u3, u2} σ (fun (ᾰ : σ) => S₂) (fun (i : σ) => MulZeroClass.toHasZero.{u2} S₂ (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S₂ (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4)))))))))) p) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R S₂ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4))) (fun (_x : RingHom.{u1, u2} R S₂ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4))) => R -> S₂) (RingHom.hasCoeToFun.{u1, u2} R S₂ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4))) f (coeFn.{max (succ (max u3 u1)) (succ u1), max (succ (max u3 u1)) (succ u1)} (RingHom.{max u3 u1, u1} (MvPolynomial.{u3, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (fun (_x : RingHom.{max u3 u1, u1} (MvPolynomial.{u3, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) => (MvPolynomial.{u3, u1} σ R _inst_1) -> R) (RingHom.hasCoeToFun.{max u3 u1, u1} (MvPolynomial.{u3, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.constantCoeff.{u1, u3} R σ _inst_1) p))
 but is expected to have type
-  forall {R : Type.{u2}} {S₂ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_4 : CommSemiring.{u3} S₂] (f : RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (p : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => S₂) p) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u2) (succ u1), succ u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => S₂) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u3} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)) (RingHom.instRingHomClassRingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)))))) (MvPolynomial.eval₂Hom.{u2, u3, u1} R S₂ σ _inst_1 _inst_4 f (OfNat.ofNat.{max u3 u1} (σ -> S₂) 0 (Zero.toOfNat0.{max u3 u1} (σ -> S₂) (Pi.instZero.{u1, u3} σ (fun (a._@.Mathlib.Data.MvPolynomial.Basic._hyg.20026 : σ) => S₂) (fun (i : σ) => CommMonoidWithZero.toZero.{u3} S₂ (CommSemiring.toCommMonoidWithZero.{u3} S₂ _inst_4)))))) p) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₂) _x) (MulHomClass.toFunLike.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) R S₂ (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) R S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)) (RingHom.instRingHomClassRingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)))))) f (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), succ u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) _x) (MulHomClass.toFunLike.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (RingHom.instRingHomClassRingHom.{max u1 u2, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))))) (MvPolynomial.constantCoeff.{u2, u1} R σ _inst_1) p))
+  forall {R : Type.{u2}} {S₂ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_4 : CommSemiring.{u3} S₂] (f : RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (p : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => S₂) p) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u2) (succ u1), succ u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => S₂) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u3} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)) (RingHom.instRingHomClassRingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)))))) (MvPolynomial.eval₂Hom.{u2, u3, u1} R S₂ σ _inst_1 _inst_4 f (OfNat.ofNat.{max u3 u1} (σ -> S₂) 0 (Zero.toOfNat0.{max u3 u1} (σ -> S₂) (Pi.instZero.{u1, u3} σ (fun (a._@.Mathlib.Data.MvPolynomial.Basic._hyg.20149 : σ) => S₂) (fun (i : σ) => CommMonoidWithZero.toZero.{u3} S₂ (CommSemiring.toCommMonoidWithZero.{u3} S₂ _inst_4)))))) p) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₂) _x) (MulHomClass.toFunLike.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) R S₂ (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) R S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)) (RingHom.instRingHomClassRingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)))))) f (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), succ u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) _x) (MulHomClass.toFunLike.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (RingHom.instRingHomClassRingHom.{max u1 u2, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))))) (MvPolynomial.constantCoeff.{u2, u1} R σ _inst_1) p))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval₂_hom_zero_apply MvPolynomial.eval₂Hom_zero_applyₓ'. -/
 theorem eval₂Hom_zero_apply (f : R →+* S₂) (p : MvPolynomial σ R) :
     eval₂Hom f (0 : σ → S₂) p = f (constantCoeff p) :=
@@ -2587,7 +2587,7 @@ theorem eval₂Hom_zero'_apply (f : R →+* S₂) (p : MvPolynomial σ R) :
 lean 3 declaration is
   forall {R : Type.{u1}} {S₂ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_4 : CommSemiring.{u2} S₂] (f : RingHom.{u1, u2} R S₂ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4))) (p : MvPolynomial.{u3, u1} σ R _inst_1), Eq.{succ u2} S₂ (MvPolynomial.eval₂.{u1, u2, u3} R S₂ σ _inst_1 _inst_4 f (OfNat.ofNat.{max u3 u2} (σ -> S₂) 0 (OfNat.mk.{max u3 u2} (σ -> S₂) 0 (Zero.zero.{max u3 u2} (σ -> S₂) (Pi.instZero.{u3, u2} σ (fun (ᾰ : σ) => S₂) (fun (i : σ) => MulZeroClass.toHasZero.{u2} S₂ (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S₂ (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4))))))))) p) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R S₂ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4))) (fun (_x : RingHom.{u1, u2} R S₂ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4))) => R -> S₂) (RingHom.hasCoeToFun.{u1, u2} R S₂ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4))) f (coeFn.{max (succ (max u3 u1)) (succ u1), max (succ (max u3 u1)) (succ u1)} (RingHom.{max u3 u1, u1} (MvPolynomial.{u3, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (fun (_x : RingHom.{max u3 u1, u1} (MvPolynomial.{u3, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) => (MvPolynomial.{u3, u1} σ R _inst_1) -> R) (RingHom.hasCoeToFun.{max u3 u1, u1} (MvPolynomial.{u3, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.constantCoeff.{u1, u3} R σ _inst_1) p))
 but is expected to have type
-  forall {R : Type.{u2}} {S₂ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_4 : CommSemiring.{u3} S₂] (f : RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (p : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{succ u3} S₂ (MvPolynomial.eval₂.{u2, u3, u1} R S₂ σ _inst_1 _inst_4 f (OfNat.ofNat.{max u3 u1} (σ -> S₂) 0 (Zero.toOfNat0.{max u3 u1} (σ -> S₂) (Pi.instZero.{u1, u3} σ (fun (a._@.Mathlib.Data.MvPolynomial.Basic._hyg.20185 : σ) => S₂) (fun (i : σ) => CommMonoidWithZero.toZero.{u3} S₂ (CommSemiring.toCommMonoidWithZero.{u3} S₂ _inst_4))))) p) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₂) _x) (MulHomClass.toFunLike.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) R S₂ (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) R S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)) (RingHom.instRingHomClassRingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)))))) f (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), succ u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) _x) (MulHomClass.toFunLike.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (RingHom.instRingHomClassRingHom.{max u1 u2, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))))) (MvPolynomial.constantCoeff.{u2, u1} R σ _inst_1) p))
+  forall {R : Type.{u2}} {S₂ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_4 : CommSemiring.{u3} S₂] (f : RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (p : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{succ u3} S₂ (MvPolynomial.eval₂.{u2, u3, u1} R S₂ σ _inst_1 _inst_4 f (OfNat.ofNat.{max u3 u1} (σ -> S₂) 0 (Zero.toOfNat0.{max u3 u1} (σ -> S₂) (Pi.instZero.{u1, u3} σ (fun (a._@.Mathlib.Data.MvPolynomial.Basic._hyg.20308 : σ) => S₂) (fun (i : σ) => CommMonoidWithZero.toZero.{u3} S₂ (CommSemiring.toCommMonoidWithZero.{u3} S₂ _inst_4))))) p) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₂) _x) (MulHomClass.toFunLike.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) R S₂ (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) R S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)) (RingHom.instRingHomClassRingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)))))) f (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), succ u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) _x) (MulHomClass.toFunLike.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (RingHom.instRingHomClassRingHom.{max u1 u2, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))))) (MvPolynomial.constantCoeff.{u2, u1} R σ _inst_1) p))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval₂_zero_apply MvPolynomial.eval₂_zero_applyₓ'. -/
 @[simp]
 theorem eval₂_zero_apply (f : R →+* S₂) (p : MvPolynomial σ R) :
@@ -2611,7 +2611,7 @@ theorem eval₂_zero'_apply (f : R →+* S₂) (p : MvPolynomial σ R) :
 lean 3 declaration is
   forall {R : Type.{u1}} {S₁ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] [_inst_3 : Algebra.{u1, u2} R S₁ _inst_1 (CommSemiring.toSemiring.{u2} S₁ _inst_2)] (p : MvPolynomial.{u3, u1} σ R _inst_1), Eq.{succ u2} S₁ (coeFn.{max (succ (max u3 u1)) (succ u2), max (succ (max u3 u1)) (succ u2)} (AlgHom.{u1, max u3 u1, u2} R (MvPolynomial.{u3, u1} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (CommSemiring.toSemiring.{u2} S₁ _inst_2) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_3) (fun (_x : AlgHom.{u1, max u3 u1, u2} R (MvPolynomial.{u3, u1} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (CommSemiring.toSemiring.{u2} S₁ _inst_2) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_3) => (MvPolynomial.{u3, u1} σ R _inst_1) -> S₁) ([anonymous].{u1, max u3 u1, u2} R (MvPolynomial.{u3, u1} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (CommSemiring.toSemiring.{u2} S₁ _inst_2) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_3) (MvPolynomial.aeval.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 _inst_3 (OfNat.ofNat.{max u3 u2} (σ -> S₁) 0 (OfNat.mk.{max u3 u2} (σ -> S₁) 0 (Zero.zero.{max u3 u2} (σ -> S₁) (Pi.instZero.{u3, u2} σ (fun (ᾰ : σ) => S₁) (fun (i : σ) => MulZeroClass.toHasZero.{u2} S₁ (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S₁ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)))))))))) p) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (fun (_x : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) => R -> S₁) (RingHom.hasCoeToFun.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (algebraMap.{u1, u2} R S₁ _inst_1 (CommSemiring.toSemiring.{u2} S₁ _inst_2) _inst_3) (coeFn.{max (succ (max u3 u1)) (succ u1), max (succ (max u3 u1)) (succ u1)} (RingHom.{max u3 u1, u1} (MvPolynomial.{u3, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (fun (_x : RingHom.{max u3 u1, u1} (MvPolynomial.{u3, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) => (MvPolynomial.{u3, u1} σ R _inst_1) -> R) (RingHom.hasCoeToFun.{max u3 u1, u1} (MvPolynomial.{u3, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.constantCoeff.{u1, u3} R σ _inst_1) p))
 but is expected to have type
-  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] [_inst_3 : Algebra.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2)] (p : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u1, u2} σ R _inst_1) => S₁) p) (FunLike.coe.{max (max (succ u3) (succ u1)) (succ u2), max (succ u1) (succ u2), succ u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u1, u2} σ R _inst_1) => S₁) _x) (SMulHomClass.toFunLike.{max (max u3 u1) u2, u2, max u1 u2, u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (SMulZeroClass.toSMul.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (AddMonoid.toZero.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (DistribSMul.toSMulZeroClass.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (DistribMulAction.toDistribSMul.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))))))) (SMulZeroClass.toSMul.{u2, u3} R S₁ (AddMonoid.toZero.{u3} S₁ (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (DistribSMul.toSMulZeroClass.{u2, u3} R S₁ (AddMonoid.toAddZeroClass.{u3} S₁ (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (DistribMulAction.toDistribSMul.{u2, u3} R S₁ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))))) (Module.toDistribMulAction.{u2, u3} R S₁ (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (Algebra.toModule.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3))))) (DistribMulActionHomClass.toSMulHomClass.{max (max u3 u1) u2, u2, max u1 u2, u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (Module.toDistribMulAction.{u2, u3} R S₁ (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (Algebra.toModule.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max (max u3 u1) u2, u2, max u1 u2, u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (Module.toDistribMulAction.{u2, u3} R S₁ (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (Algebra.toModule.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u2, max u1 u2, u3, max (max u3 u1) u2} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3 (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) (AlgHom.algHomClass.{u2, max u1 u2, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3))))) (MvPolynomial.aeval.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 _inst_3 (OfNat.ofNat.{max u3 u1} (σ -> S₁) 0 (Zero.toOfNat0.{max u3 u1} (σ -> S₁) (Pi.instZero.{u1, u3} σ (fun (a._@.Mathlib.Data.MvPolynomial.Basic._hyg.20333 : σ) => S₁) (fun (i : σ) => CommMonoidWithZero.toZero.{u3} S₁ (CommSemiring.toCommMonoidWithZero.{u3} S₁ _inst_2)))))) p) (FunLike.coe.{max (succ u3) (succ u2), succ u2, succ u3} (RingHom.{u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (fun (_x : (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) => S₁) _x) (MulHomClass.toFunLike.{max u3 u2, u2, u3} (RingHom.{u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (NonUnitalNonAssocSemiring.toMul.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u3 u2, u2, u3} (RingHom.{u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u3 u2, u2, u3} (RingHom.{u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (algebraMap.{u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3) (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), succ u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) _x) (MulHomClass.toFunLike.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (RingHom.instRingHomClassRingHom.{max u1 u2, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))))) (MvPolynomial.constantCoeff.{u2, u1} R σ _inst_1) p))
+  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] [_inst_3 : Algebra.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2)] (p : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u1, u2} σ R _inst_1) => S₁) p) (FunLike.coe.{max (max (succ u3) (succ u1)) (succ u2), max (succ u1) (succ u2), succ u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u1, u2} σ R _inst_1) => S₁) _x) (SMulHomClass.toFunLike.{max (max u3 u1) u2, u2, max u1 u2, u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (SMulZeroClass.toSMul.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (AddMonoid.toZero.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (DistribSMul.toSMulZeroClass.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (DistribMulAction.toDistribSMul.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))))))) (SMulZeroClass.toSMul.{u2, u3} R S₁ (AddMonoid.toZero.{u3} S₁ (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (DistribSMul.toSMulZeroClass.{u2, u3} R S₁ (AddMonoid.toAddZeroClass.{u3} S₁ (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (DistribMulAction.toDistribSMul.{u2, u3} R S₁ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))))) (Module.toDistribMulAction.{u2, u3} R S₁ (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (Algebra.toModule.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3))))) (DistribMulActionHomClass.toSMulHomClass.{max (max u3 u1) u2, u2, max u1 u2, u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (Module.toDistribMulAction.{u2, u3} R S₁ (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (Algebra.toModule.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max (max u3 u1) u2, u2, max u1 u2, u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (Module.toDistribMulAction.{u2, u3} R S₁ (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (Algebra.toModule.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u2, max u1 u2, u3, max (max u3 u1) u2} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3 (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) (AlgHom.algHomClass.{u2, max u1 u2, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3))))) (MvPolynomial.aeval.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 _inst_3 (OfNat.ofNat.{max u3 u1} (σ -> S₁) 0 (Zero.toOfNat0.{max u3 u1} (σ -> S₁) (Pi.instZero.{u1, u3} σ (fun (a._@.Mathlib.Data.MvPolynomial.Basic._hyg.20456 : σ) => S₁) (fun (i : σ) => CommMonoidWithZero.toZero.{u3} S₁ (CommSemiring.toCommMonoidWithZero.{u3} S₁ _inst_2)))))) p) (FunLike.coe.{max (succ u3) (succ u2), succ u2, succ u3} (RingHom.{u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (fun (_x : (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) => S₁) _x) (MulHomClass.toFunLike.{max u3 u2, u2, u3} (RingHom.{u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (NonUnitalNonAssocSemiring.toMul.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u3 u2, u2, u3} (RingHom.{u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u3 u2, u2, u3} (RingHom.{u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (algebraMap.{u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3) (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), succ u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) _x) (MulHomClass.toFunLike.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (RingHom.instRingHomClassRingHom.{max u1 u2, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))))) (MvPolynomial.constantCoeff.{u2, u1} R σ _inst_1) p))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.aeval_zero MvPolynomial.aeval_zeroₓ'. -/
 @[simp]
 theorem aeval_zero (p : MvPolynomial σ R) :
@@ -2635,7 +2635,7 @@ theorem aeval_zero' (p : MvPolynomial σ R) :
 lean 3 declaration is
   forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R], Eq.{max (succ (max u2 u1)) (succ u1)} (RingHom.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.eval.{u1, u2} R σ _inst_1 (OfNat.ofNat.{max u2 u1} (σ -> R) 0 (OfNat.mk.{max u2 u1} (σ -> R) 0 (Zero.zero.{max u2 u1} (σ -> R) (Pi.instZero.{u2, u1} σ (fun (ᾰ : σ) => R) (fun (i : σ) => MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))))))) (MvPolynomial.constantCoeff.{u1, u2} R σ _inst_1)
 but is expected to have type
-  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R], Eq.{max (succ u2) (succ u1)} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.eval.{u2, u1} R σ _inst_1 (OfNat.ofNat.{max u2 u1} (σ -> R) 0 (Zero.toOfNat0.{max u2 u1} (σ -> R) (Pi.instZero.{u1, u2} σ (fun (a._@.Mathlib.Data.MvPolynomial.Basic._hyg.20481 : σ) => R) (fun (i : σ) => CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1)))))) (MvPolynomial.constantCoeff.{u2, u1} R σ _inst_1)
+  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R], Eq.{max (succ u2) (succ u1)} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.eval.{u2, u1} R σ _inst_1 (OfNat.ofNat.{max u2 u1} (σ -> R) 0 (Zero.toOfNat0.{max u2 u1} (σ -> R) (Pi.instZero.{u1, u2} σ (fun (a._@.Mathlib.Data.MvPolynomial.Basic._hyg.20604 : σ) => R) (fun (i : σ) => CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1)))))) (MvPolynomial.constantCoeff.{u2, u1} R σ _inst_1)
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval_zero MvPolynomial.eval_zeroₓ'. -/
 @[simp]
 theorem eval_zero : eval (0 : σ → R) = constantCoeff :=

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

@@ -84,11 +84,13 @@ universe u v w x
 
 variable {R : Type u} {S₁ : Type v} {S₂ : Type w} {S₃ : Type x}
 
+#print MvPolynomial /-
 /-- Multivariate polynomial, where `σ` is the index set of the variables and
   `R` is the coefficient ring -/
 def MvPolynomial (σ : Type _) (R : Type _) [CommSemiring R] :=
   AddMonoidAlgebra R (σ →₀ ℕ)
 #align mv_polynomial MvPolynomial
+-/
 
 namespace MvPolynomial
 
@@ -98,10 +100,12 @@ section CommSemiring
 
 section Instances
 
+#print MvPolynomial.decidableEqMvPolynomial /-
 instance decidableEqMvPolynomial [CommSemiring R] [DecidableEq σ] [DecidableEq R] :
     DecidableEq (MvPolynomial σ R) :=
   Finsupp.decidableEq
 #align mv_polynomial.decidable_eq_mv_polynomial MvPolynomial.decidableEqMvPolynomial
+-/
 
 instance [CommSemiring R] : CommSemiring (MvPolynomial σ R) :=
   AddMonoidAlgebra.commSemiring
@@ -135,152 +139,308 @@ instance [Monoid R] [CommSemiring S₁] [DistribMulAction R S₁] [DistribMulAct
 instance [CommSemiring R] [CommSemiring S₁] [Algebra R S₁] : Algebra R (MvPolynomial σ S₁) :=
   AddMonoidAlgebra.algebra
 
+/- warning: mv_polynomial.is_scalar_tower' -> MvPolynomial.isScalarTower' is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {S₁ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] [_inst_3 : Algebra.{u1, u2} R S₁ _inst_1 (CommSemiring.toSemiring.{u2} S₁ _inst_2)], IsScalarTower.{u1, max u3 u2, max u3 u2} R (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.{u3, u2} σ S₁ _inst_2) (SMulZeroClass.toHasSmul.{u1, max u3 u2} R (MvPolynomial.{u3, u2} σ S₁ _inst_2) (AddZeroClass.toHasZero.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (AddMonoid.toAddZeroClass.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (AddCommMonoid.toAddMonoid.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))))))) (SMulWithZero.toSmulZeroClass.{u1, max u3 u2} R (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (AddMonoid.toAddZeroClass.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (AddCommMonoid.toAddMonoid.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))))))) (MulActionWithZero.toSMulWithZero.{u1, max u3 u2} R (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (AddMonoid.toAddZeroClass.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (AddCommMonoid.toAddMonoid.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))))))) (Module.toMulActionWithZero.{u1, max u3 u2} R (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2))))) (MvPolynomial.module.{u1, u2, u3} R S₁ σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 (Algebra.toModule.{u1, u2} R S₁ _inst_1 (CommSemiring.toSemiring.{u2} S₁ _inst_2) _inst_3)))))) (Mul.toSMul.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Distrib.toHasMul.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (NonUnitalNonAssocSemiring.toDistrib.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2))))))) (SMulZeroClass.toHasSmul.{u1, max u3 u2} R (MvPolynomial.{u3, u2} σ S₁ _inst_2) (AddZeroClass.toHasZero.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (AddMonoid.toAddZeroClass.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (AddCommMonoid.toAddMonoid.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))))))) (SMulWithZero.toSmulZeroClass.{u1, max u3 u2} R (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (AddMonoid.toAddZeroClass.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (AddCommMonoid.toAddMonoid.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))))))) (MulActionWithZero.toSMulWithZero.{u1, max u3 u2} R (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (AddMonoid.toAddZeroClass.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (AddCommMonoid.toAddMonoid.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))))))) (Module.toMulActionWithZero.{u1, max u3 u2} R (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2))))) (MvPolynomial.module.{u1, u2, u3} R S₁ σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 (Algebra.toModule.{u1, u2} R S₁ _inst_1 (CommSemiring.toSemiring.{u2} S₁ _inst_2) _inst_3))))))
+but is expected to have type
+  forall {R : Type.{u1}} {S₁ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] [_inst_3 : Algebra.{u1, u2} R S₁ _inst_1 (CommSemiring.toSemiring.{u2} S₁ _inst_2)], IsScalarTower.{u1, max u2 u3, max u2 u3} R (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Algebra.toSMul.{u1, max u2 u3} R (MvPolynomial.{u3, u2} σ S₁ _inst_2) _inst_1 (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)) (MvPolynomial.algebra.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 _inst_3)) (Algebra.toSMul.{max u2 u3, max u2 u3} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)) (Algebra.id.{max u2 u3} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2))) (Algebra.toSMul.{u1, max u2 u3} R (MvPolynomial.{u3, u2} σ S₁ _inst_2) _inst_1 (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)) (MvPolynomial.algebra.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 _inst_3))
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.is_scalar_tower' MvPolynomial.isScalarTower'ₓ'. -/
 -- Register with high priority to avoid timeout in `data.mv_polynomial.pderiv`
-instance is_scalar_tower' [CommSemiring R] [CommSemiring S₁] [Algebra R S₁] :
+instance isScalarTower' [CommSemiring R] [CommSemiring S₁] [Algebra R S₁] :
     IsScalarTower R (MvPolynomial σ S₁) (MvPolynomial σ S₁) :=
   IsScalarTower.right
-#align mv_polynomial.is_scalar_tower' MvPolynomial.is_scalar_tower'
+#align mv_polynomial.is_scalar_tower' MvPolynomial.isScalarTower'
 
+#print MvPolynomial.unique /-
 /-- If `R` is a subsingleton, then `mv_polynomial σ R` has a unique element -/
 instance unique [CommSemiring R] [Subsingleton R] : Unique (MvPolynomial σ R) :=
   AddMonoidAlgebra.unique
 #align mv_polynomial.unique MvPolynomial.unique
+-/
 
 end Instances
 
 variable [CommSemiring R] [CommSemiring S₁] {p q : MvPolynomial σ R}
 
+#print MvPolynomial.monomial /-
 /-- `monomial s a` is the monomial with coefficient `a` and exponents given by `s`  -/
 def monomial (s : σ →₀ ℕ) : R →ₗ[R] MvPolynomial σ R :=
   lsingle s
 #align mv_polynomial.monomial MvPolynomial.monomial
+-/
 
+/- warning: mv_polynomial.single_eq_monomial -> MvPolynomial.single_eq_monomial is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] (s : Finsupp.{u2, 0} σ Nat Nat.hasZero) (a : R), Eq.{max (succ u2) (succ u1)} (Finsupp.{u2, u1} (Finsupp.{u2, 0} σ Nat Nat.hasZero) R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))) (Finsupp.single.{u2, u1} (Finsupp.{u2, 0} σ Nat Nat.hasZero) R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) s a) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 s) a)
+but is expected to have type
+  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] (s : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (a : R), Eq.{max (succ u2) (succ u1)} (Finsupp.{u1, u2} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))) (Finsupp.single.{u1, u2} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1)) s a) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s) a)
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.single_eq_monomial MvPolynomial.single_eq_monomialₓ'. -/
 theorem single_eq_monomial (s : σ →₀ ℕ) (a : R) : single s a = monomial s a :=
   rfl
 #align mv_polynomial.single_eq_monomial MvPolynomial.single_eq_monomial
 
+/- warning: mv_polynomial.mul_def -> MvPolynomial.mul_def is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {p : MvPolynomial.{u2, u1} σ R _inst_1} {q : MvPolynomial.{u2, u1} σ R _inst_1}, Eq.{succ (max u2 u1)} (MvPolynomial.{u2, u1} σ R _inst_1) (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Distrib.toHasMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))) p q) (Finsupp.sum.{u2, u1, max u2 u1} (Finsupp.{u2, 0} σ Nat Nat.hasZero) R (MvPolynomial.{u2, u1} σ R _inst_1) (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) p (fun (m : Finsupp.{u2, 0} σ Nat Nat.hasZero) (a : R) => Finsupp.sum.{u2, u1, max u2 u1} (Finsupp.{u2, 0} σ Nat Nat.hasZero) R (MvPolynomial.{u2, u1} σ R _inst_1) (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) q (fun (n : Finsupp.{u2, 0} σ Nat Nat.hasZero) (b : R) => coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 (HAdd.hAdd.{u2, u2, u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.{u2, 0} σ Nat Nat.hasZero) (instHAdd.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.add.{u2, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid))) m n)) (HMul.hMul.{u1, u1, u1} R R R (instHMul.{u1} R (Distrib.toHasMul.{u1} R (NonUnitalNonAssocSemiring.toDistrib.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))) a b))))
+but is expected to have type
+  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] {p : MvPolynomial.{u1, u2} σ R _inst_1} {q : MvPolynomial.{u1, u2} σ R _inst_1}, Eq.{max (succ u2) (succ u1)} (MvPolynomial.{u1, u2} σ R _inst_1) (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) p q) (Finsupp.sum.{u1, u2, max u2 u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (MvPolynomial.{u1, u2} σ R _inst_1) (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) p (fun (m : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (a : R) => Finsupp.sum.{u1, u2, max u2 u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (MvPolynomial.{u1, u2} σ R _inst_1) (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) q (fun (n : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (b : R) => FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 (HAdd.hAdd.{u1, u1, u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (instHAdd.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.add.{u1, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid))) m n)) (HMul.hMul.{u2, u2, u2} R R R (instHMul.{u2} R (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) a b))))
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.mul_def MvPolynomial.mul_defₓ'. -/
 theorem mul_def : p * q = p.Sum fun m a => q.Sum fun n b => monomial (m + n) (a * b) :=
   rfl
 #align mv_polynomial.mul_def MvPolynomial.mul_def
 
+#print MvPolynomial.C /-
 /-- `C a` is the constant polynomial with value `a` -/
-def c : R →+* MvPolynomial σ R :=
+def C : R →+* MvPolynomial σ R :=
   { singleZeroRingHom with toFun := monomial 0 }
-#align mv_polynomial.C MvPolynomial.c
+#align mv_polynomial.C MvPolynomial.C
+-/
 
 variable (R σ)
 
-theorem algebraMap_eq : algebraMap R (MvPolynomial σ R) = c :=
+/- warning: mv_polynomial.algebra_map_eq -> MvPolynomial.algebraMap_eq is a dubious translation:
+lean 3 declaration is
+  forall (R : Type.{u1}) (σ : Type.{u2}) [_inst_1 : CommSemiring.{u1} R], Eq.{max (succ u1) (succ (max u2 u1))} (RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (algebraMap.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1))) (MvPolynomial.C.{u1, u2} R σ _inst_1)
+but is expected to have type
+  forall (R : Type.{u2}) (σ : Type.{u1}) [_inst_1 : CommSemiring.{u2} R], Eq.{max (succ u2) (succ u1)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (algebraMap.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) (MvPolynomial.C.{u2, u1} R σ _inst_1)
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.algebra_map_eq MvPolynomial.algebraMap_eqₓ'. -/
+theorem algebraMap_eq : algebraMap R (MvPolynomial σ R) = C :=
   rfl
 #align mv_polynomial.algebra_map_eq MvPolynomial.algebraMap_eq
 
 variable {R σ}
 
+#print MvPolynomial.X /-
 /-- `X n` is the degree `1` monomial $X_n$. -/
-def x (n : σ) : MvPolynomial σ R :=
+def X (n : σ) : MvPolynomial σ R :=
   monomial (single n 1) 1
-#align mv_polynomial.X MvPolynomial.x
+#align mv_polynomial.X MvPolynomial.X
+-/
 
+/- warning: mv_polynomial.monomial_left_injective -> MvPolynomial.monomial_left_injective is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {r : R}, (Ne.{succ u1} R r (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))))))) -> (Function.Injective.{succ u2, max (succ u2) (succ u1)} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (MvPolynomial.{u2, u1} σ R _inst_1) (fun (s : Finsupp.{u2, 0} σ Nat Nat.hasZero) => coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 s) r))
+but is expected to have type
+  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] {r : R}, (Ne.{succ u2} R r (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))))) -> (Function.Injective.{succ u1, max (succ u2) (succ u1)} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) r) (fun (s : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s) r))
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.monomial_left_injective MvPolynomial.monomial_left_injectiveₓ'. -/
 theorem monomial_left_injective {r : R} (hr : r ≠ 0) :
     Function.Injective fun s : σ →₀ ℕ => monomial s r :=
   Finsupp.single_left_injective hr
 #align mv_polynomial.monomial_left_injective MvPolynomial.monomial_left_injective
 
+/- warning: mv_polynomial.monomial_left_inj -> MvPolynomial.monomial_left_inj is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {s : Finsupp.{u2, 0} σ Nat Nat.hasZero} {t : Finsupp.{u2, 0} σ Nat Nat.hasZero} {r : R}, (Ne.{succ u1} R r (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))))))) -> (Iff (Eq.{max (succ u2) (succ u1)} (MvPolynomial.{u2, u1} σ R _inst_1) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 s) r) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 t) r)) (Eq.{succ u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) s t))
+but is expected to have type
+  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] {s : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)} {t : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)} {r : R}, (Ne.{succ u2} R r (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))))) -> (Iff (Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) r) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s) r) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 t) r)) (Eq.{succ u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) s t))
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.monomial_left_inj MvPolynomial.monomial_left_injₓ'. -/
 @[simp]
 theorem monomial_left_inj {s t : σ →₀ ℕ} {r : R} (hr : r ≠ 0) :
     monomial s r = monomial t r ↔ s = t :=
   Finsupp.single_left_inj hr
 #align mv_polynomial.monomial_left_inj MvPolynomial.monomial_left_inj
 
-theorem c_apply : (c a : MvPolynomial σ R) = monomial 0 a :=
+/- warning: mv_polynomial.C_apply -> MvPolynomial.C_apply is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {σ : Type.{u2}} {a : R} [_inst_1 : CommSemiring.{u1} R], Eq.{max (succ u2) (succ u1)} (MvPolynomial.{u2, u1} σ R _inst_1) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (fun (_x : RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (MvPolynomial.C.{u1, u2} R σ _inst_1) a) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 (OfNat.ofNat.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) 0 (OfNat.mk.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) 0 (Zero.zero.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.zero.{u2, 0} σ Nat Nat.hasZero))))) a)
+but is expected to have type
+  forall {R : Type.{u2}} {σ : Type.{u1}} {a : R} [_inst_1 : CommSemiring.{u2} R], Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) a) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 (OfNat.ofNat.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) 0 (Zero.toOfNat0.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.zero.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))))) a)
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.C_apply MvPolynomial.C_applyₓ'. -/
+theorem C_apply : (C a : MvPolynomial σ R) = monomial 0 a :=
   rfl
-#align mv_polynomial.C_apply MvPolynomial.c_apply
-
-@[simp]
-theorem c_0 : c 0 = (0 : MvPolynomial σ R) := by simp [C_apply, monomial]
-#align mv_polynomial.C_0 MvPolynomial.c_0
-
-@[simp]
-theorem c_1 : c 1 = (1 : MvPolynomial σ R) :=
+#align mv_polynomial.C_apply MvPolynomial.C_apply
+
+/- warning: mv_polynomial.C_0 -> MvPolynomial.C_0 is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R], Eq.{max (succ u2) (succ u1)} (MvPolynomial.{u2, u1} σ R _inst_1) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (fun (_x : RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (MvPolynomial.C.{u1, u2} R σ _inst_1) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))))))) (OfNat.ofNat.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) 0 (OfNat.mk.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) 0 (Zero.zero.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MulZeroClass.toHasZero.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toMulZeroClass.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))))))))
+but is expected to have type
+  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R], Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))))) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))))) (OfNat.ofNat.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) 0 (Zero.toOfNat0.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommMonoidWithZero.toZero.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toCommMonoidWithZero.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.C_0 MvPolynomial.C_0ₓ'. -/
+@[simp]
+theorem C_0 : C 0 = (0 : MvPolynomial σ R) := by simp [C_apply, monomial]
+#align mv_polynomial.C_0 MvPolynomial.C_0
+
+/- warning: mv_polynomial.C_1 -> MvPolynomial.C_1 is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R], Eq.{max (succ u2) (succ u1)} (MvPolynomial.{u2, u1} σ R _inst_1) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (fun (_x : RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (MvPolynomial.C.{u1, u2} R σ _inst_1) (OfNat.ofNat.{u1} R 1 (OfNat.mk.{u1} R 1 (One.one.{u1} R (AddMonoidWithOne.toOne.{u1} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} R (NonAssocSemiring.toAddCommMonoidWithOne.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))))))) (OfNat.ofNat.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) 1 (OfNat.mk.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) 1 (One.one.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (AddMonoidWithOne.toOne.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (AddCommMonoidWithOne.toAddMonoidWithOne.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toAddCommMonoidWithOne.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))))))))
+but is expected to have type
+  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R], Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) (OfNat.ofNat.{u2} R 1 (One.toOfNat1.{u2} R (Semiring.toOne.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) (OfNat.ofNat.{u2} R 1 (One.toOfNat1.{u2} R (Semiring.toOne.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) (OfNat.ofNat.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) 1 (One.toOfNat1.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toOne.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.C_1 MvPolynomial.C_1ₓ'. -/
+@[simp]
+theorem C_1 : C 1 = (1 : MvPolynomial σ R) :=
   rfl
-#align mv_polynomial.C_1 MvPolynomial.c_1
-
-theorem c_mul_monomial : c a * monomial s a' = monomial s (a * a') := by
+#align mv_polynomial.C_1 MvPolynomial.C_1
+
+/- warning: mv_polynomial.C_mul_monomial -> MvPolynomial.C_mul_monomial is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {σ : Type.{u2}} {a : R} {a' : R} {s : Finsupp.{u2, 0} σ Nat Nat.hasZero} [_inst_1 : CommSemiring.{u1} R], Eq.{succ (max u2 u1)} (MvPolynomial.{u2, u1} σ R _inst_1) (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Distrib.toHasMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (fun (_x : RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (MvPolynomial.C.{u1, u2} R σ _inst_1) a) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 s) a')) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 s) (HMul.hMul.{u1, u1, u1} R R R (instHMul.{u1} R (Distrib.toHasMul.{u1} R (NonUnitalNonAssocSemiring.toDistrib.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))) a a'))
+but is expected to have type
+  forall {R : Type.{u2}} {σ : Type.{u1}} {a : R} {a' : R} {s : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)} [_inst_1 : CommSemiring.{u2} R], Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) (HMul.hMul.{u2, u2, u2} R R R (instHMul.{u2} R (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) a a')) (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a') ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) (HMul.hMul.{u2, u2, u2} R R R (instHMul.{u2} R (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) a a')) (instHMul.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (Semiring.toNonAssocSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (CommSemiring.toSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) a) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s) a')) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s) (HMul.hMul.{u2, u2, u2} R R R (instHMul.{u2} R (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) a a'))
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.C_mul_monomial MvPolynomial.C_mul_monomialₓ'. -/
+theorem C_mul_monomial : C a * monomial s a' = monomial s (a * a') := by
   simp [C_apply, monomial, single_mul_single]
-#align mv_polynomial.C_mul_monomial MvPolynomial.c_mul_monomial
+#align mv_polynomial.C_mul_monomial MvPolynomial.C_mul_monomial
 
+/- warning: mv_polynomial.C_add -> MvPolynomial.C_add is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {σ : Type.{u2}} {a : R} {a' : R} [_inst_1 : CommSemiring.{u1} R], Eq.{max (succ u2) (succ u1)} (MvPolynomial.{u2, u1} σ R _inst_1) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (fun (_x : RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (MvPolynomial.C.{u1, u2} R σ _inst_1) (HAdd.hAdd.{u1, u1, u1} R R R (instHAdd.{u1} R (Distrib.toHasAdd.{u1} R (NonUnitalNonAssocSemiring.toDistrib.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))) a a')) (HAdd.hAdd.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (instHAdd.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Distrib.toHasAdd.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (fun (_x : RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (MvPolynomial.C.{u1, u2} R σ _inst_1) a) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (fun (_x : RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (MvPolynomial.C.{u1, u2} R σ _inst_1) a'))
+but is expected to have type
+  forall {R : Type.{u2}} {σ : Type.{u1}} {a : R} {a' : R} [_inst_1 : CommSemiring.{u2} R], Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) (HAdd.hAdd.{u2, u2, u2} R R R (instHAdd.{u2} R (Distrib.toAdd.{u2} R (NonUnitalNonAssocSemiring.toDistrib.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))))) a a')) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) (HAdd.hAdd.{u2, u2, u2} R R R (instHAdd.{u2} R (Distrib.toAdd.{u2} R (NonUnitalNonAssocSemiring.toDistrib.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))))) a a')) (HAdd.hAdd.{max u2 u1, max u2 u1, max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a') ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) (HAdd.hAdd.{u2, u2, u2} R R R (instHAdd.{u2} R (Distrib.toAdd.{u2} R (NonUnitalNonAssocSemiring.toDistrib.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))))) a a')) (instHAdd.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (Distrib.toAdd.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (NonUnitalNonAssocSemiring.toDistrib.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (Semiring.toNonAssocSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (CommSemiring.toSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) a) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) a'))
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.C_add MvPolynomial.C_addₓ'. -/
 @[simp]
-theorem c_add : (c (a + a') : MvPolynomial σ R) = c a + c a' :=
+theorem C_add : (C (a + a') : MvPolynomial σ R) = C a + C a' :=
   single_add _ _ _
-#align mv_polynomial.C_add MvPolynomial.c_add
-
-@[simp]
-theorem c_mul : (c (a * a') : MvPolynomial σ R) = c a * c a' :=
-  c_mul_monomial.symm
-#align mv_polynomial.C_mul MvPolynomial.c_mul
-
-@[simp]
-theorem c_pow (a : R) (n : ℕ) : (c (a ^ n) : MvPolynomial σ R) = c a ^ n := by
+#align mv_polynomial.C_add MvPolynomial.C_add
+
+/- warning: mv_polynomial.C_mul -> MvPolynomial.C_mul is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {σ : Type.{u2}} {a : R} {a' : R} [_inst_1 : CommSemiring.{u1} R], Eq.{max (succ u2) (succ u1)} (MvPolynomial.{u2, u1} σ R _inst_1) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (fun (_x : RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (MvPolynomial.C.{u1, u2} R σ _inst_1) (HMul.hMul.{u1, u1, u1} R R R (instHMul.{u1} R (Distrib.toHasMul.{u1} R (NonUnitalNonAssocSemiring.toDistrib.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))) a a')) (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Distrib.toHasMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (fun (_x : RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (MvPolynomial.C.{u1, u2} R σ _inst_1) a) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (fun (_x : RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (MvPolynomial.C.{u1, u2} R σ _inst_1) a'))
+but is expected to have type
+  forall {R : Type.{u2}} {σ : Type.{u1}} {a : R} {a' : R} [_inst_1 : CommSemiring.{u2} R], Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) (HMul.hMul.{u2, u2, u2} R R R (instHMul.{u2} R (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) a a')) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) (HMul.hMul.{u2, u2, u2} R R R (instHMul.{u2} R (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) a a')) (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a') ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) (HMul.hMul.{u2, u2, u2} R R R (instHMul.{u2} R (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) a a')) (instHMul.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (Semiring.toNonAssocSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (CommSemiring.toSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) a) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) a'))
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.C_mul MvPolynomial.C_mulₓ'. -/
+@[simp]
+theorem C_mul : (C (a * a') : MvPolynomial σ R) = C a * C a' :=
+  C_mul_monomial.symm
+#align mv_polynomial.C_mul MvPolynomial.C_mul
+
+/- warning: mv_polynomial.C_pow -> MvPolynomial.C_pow is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] (a : R) (n : Nat), Eq.{max (succ u2) (succ u1)} (MvPolynomial.{u2, u1} σ R _inst_1) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (fun (_x : RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (MvPolynomial.C.{u1, u2} R σ _inst_1) (HPow.hPow.{u1, 0, u1} R Nat R (instHPow.{u1, 0} R Nat (Monoid.Pow.{u1} R (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) a n)) (HPow.hPow.{max u2 u1, 0, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) Nat (MvPolynomial.{u2, u1} σ R _inst_1) (instHPow.{max u2 u1, 0} (MvPolynomial.{u2, u1} σ R _inst_1) Nat (Monoid.Pow.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MonoidWithZero.toMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toMonoidWithZero.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))))) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (fun (_x : RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (MvPolynomial.C.{u1, u2} R σ _inst_1) a) n)
+but is expected to have type
+  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] (a : R) (n : Nat), Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) (HPow.hPow.{u2, 0, u2} R Nat R (instHPow.{u2, 0} R Nat (Monoid.Pow.{u2} R (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) a n)) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) (HPow.hPow.{u2, 0, u2} R Nat R (instHPow.{u2, 0} R Nat (Monoid.Pow.{u2} R (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) a n)) (HPow.hPow.{max u2 u1, 0, max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) Nat ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (instHPow.{max u2 u1, 0} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) Nat (Monoid.Pow.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (MonoidWithZero.toMonoid.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (Semiring.toMonoidWithZero.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (CommSemiring.toSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) a) n)
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.C_pow MvPolynomial.C_powₓ'. -/
+@[simp]
+theorem C_pow (a : R) (n : ℕ) : (C (a ^ n) : MvPolynomial σ R) = C a ^ n := by
   induction n <;> simp [pow_succ, *]
-#align mv_polynomial.C_pow MvPolynomial.c_pow
-
-theorem c_injective (σ : Type _) (R : Type _) [CommSemiring R] :
-    Function.Injective (c : R → MvPolynomial σ R) :=
+#align mv_polynomial.C_pow MvPolynomial.C_pow
+
+/- warning: mv_polynomial.C_injective -> MvPolynomial.C_injective is a dubious translation:
+lean 3 declaration is
+  forall (σ : Type.{u1}) (R : Type.{u2}) [_inst_3 : CommSemiring.{u2} R], Function.Injective.{succ u2, max (succ u1) (succ u2)} R (MvPolynomial.{u1, u2} σ R _inst_3) (coeFn.{max (succ u2) (succ (max u1 u2)), max (succ u2) (succ (max u1 u2))} (RingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_3) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_3) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_3) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_3)))) (fun (_x : RingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_3) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_3) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_3) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_3)))) => R -> (MvPolynomial.{u1, u2} σ R _inst_3)) (RingHom.hasCoeToFun.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_3) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_3) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_3) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_3)))) (MvPolynomial.C.{u2, u1} R σ _inst_3))
+but is expected to have type
+  forall (σ : Type.{u2}) (R : Type.{u1}) [_inst_3 : CommSemiring.{u1} R], Function.Injective.{succ u1, max (succ u2) (succ u1)} R (MvPolynomial.{u2, u1} σ R _inst_3) (FunLike.coe.{max (succ u2) (succ u1), succ u1, max (succ u2) (succ u1)} (RingHom.{u1, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_3)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u2, u1} σ R _inst_3) _x) (MulHomClass.toFunLike.{max u2 u1, u1, max u2 u1} (RingHom.{u1, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_3)))) R (MvPolynomial.{u2, u1} σ R _inst_3) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)))) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_3) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_3))))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u1, max u2 u1} (RingHom.{u1, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_3)))) R (MvPolynomial.{u2, u1} σ R _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_3) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_3)))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u1, max u2 u1} (RingHom.{u1, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_3)))) R (MvPolynomial.{u2, u1} σ R _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_3))) (RingHom.instRingHomClassRingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_3))))))) (MvPolynomial.C.{u1, u2} R σ _inst_3))
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.C_injective MvPolynomial.C_injectiveₓ'. -/
+theorem C_injective (σ : Type _) (R : Type _) [CommSemiring R] :
+    Function.Injective (C : R → MvPolynomial σ R) :=
   Finsupp.single_injective _
-#align mv_polynomial.C_injective MvPolynomial.c_injective
-
-theorem c_surjective {R : Type _} [CommSemiring R] (σ : Type _) [IsEmpty σ] :
-    Function.Surjective (c : R → MvPolynomial σ R) :=
+#align mv_polynomial.C_injective MvPolynomial.C_injective
+
+/- warning: mv_polynomial.C_surjective -> MvPolynomial.C_surjective is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} [_inst_3 : CommSemiring.{u1} R] (σ : Type.{u2}) [_inst_4 : IsEmpty.{succ u2} σ], Function.Surjective.{succ u1, max (succ u2) (succ u1)} R (MvPolynomial.{u2, u1} σ R _inst_3) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_3) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_3) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_3)))) (fun (_x : RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_3) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_3) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_3)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_3)) (RingHom.hasCoeToFun.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_3) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_3) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_3)))) (MvPolynomial.C.{u1, u2} R σ _inst_3))
+but is expected to have type
+  forall {R : Type.{u2}} [_inst_3 : CommSemiring.{u2} R] (σ : Type.{u1}) [_inst_4 : IsEmpty.{succ u1} σ], Function.Surjective.{succ u2, max (succ u2) (succ u1)} R (MvPolynomial.{u1, u2} σ R _inst_3) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_3) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_3) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_3) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_3)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_3) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_3) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_3) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_3) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_3)))) R (MvPolynomial.{u1, u2} σ R _inst_3) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_3) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_3) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_3) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_3))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_3) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_3) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_3) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_3)))) R (MvPolynomial.{u1, u2} σ R _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_3) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_3) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_3) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_3)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_3) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_3) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_3) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_3)))) R (MvPolynomial.{u1, u2} σ R _inst_3) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_3) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_3) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_3))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_3) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_3) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_3) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_3))))))) (MvPolynomial.C.{u2, u1} R σ _inst_3))
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.C_surjective MvPolynomial.C_surjectiveₓ'. -/
+theorem C_surjective {R : Type _} [CommSemiring R] (σ : Type _) [IsEmpty σ] :
+    Function.Surjective (C : R → MvPolynomial σ R) :=
   by
   refine' fun p => ⟨p.toFun 0, Finsupp.ext fun a => _⟩
   simpa [(Finsupp.ext isEmptyElim : a = 0), C_apply, monomial]
-#align mv_polynomial.C_surjective MvPolynomial.c_surjective
+#align mv_polynomial.C_surjective MvPolynomial.C_surjective
 
+/- warning: mv_polynomial.C_inj -> MvPolynomial.C_inj is a dubious translation:
+lean 3 declaration is
+  forall {σ : Type.{u1}} (R : Type.{u2}) [_inst_3 : CommSemiring.{u2} R] (r : R) (s : R), Iff (Eq.{max (succ u1) (succ u2)} (MvPolynomial.{u1, u2} σ R _inst_3) (coeFn.{max (succ u2) (succ (max u1 u2)), max (succ u2) (succ (max u1 u2))} (RingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_3) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_3) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_3) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_3)))) (fun (_x : RingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_3) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_3) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_3) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_3)))) => R -> (MvPolynomial.{u1, u2} σ R _inst_3)) (RingHom.hasCoeToFun.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_3) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_3) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_3) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_3)))) (MvPolynomial.C.{u2, u1} R σ _inst_3) r) (coeFn.{max (succ u2) (succ (max u1 u2)), max (succ u2) (succ (max u1 u2))} (RingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_3) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_3) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_3) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_3)))) (fun (_x : RingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_3) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_3) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_3) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_3)))) => R -> (MvPolynomial.{u1, u2} σ R _inst_3)) (RingHom.hasCoeToFun.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_3) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_3) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_3) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_3)))) (MvPolynomial.C.{u2, u1} R σ _inst_3) s)) (Eq.{succ u2} R r s)
+but is expected to have type
+  forall {σ : Type.{u2}} (R : Type.{u1}) [_inst_3 : CommSemiring.{u1} R] (r : R) (s : R), Iff (Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u2, u1} σ R _inst_3) r) (FunLike.coe.{max (succ u2) (succ u1), succ u1, max (succ u2) (succ u1)} (RingHom.{u1, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_3)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u2, u1} σ R _inst_3) _x) (MulHomClass.toFunLike.{max u2 u1, u1, max u2 u1} (RingHom.{u1, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_3)))) R (MvPolynomial.{u2, u1} σ R _inst_3) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)))) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_3) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_3))))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u1, max u2 u1} (RingHom.{u1, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_3)))) R (MvPolynomial.{u2, u1} σ R _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_3) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_3)))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u1, max u2 u1} (RingHom.{u1, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_3)))) R (MvPolynomial.{u2, u1} σ R _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_3))) (RingHom.instRingHomClassRingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_3))))))) (MvPolynomial.C.{u1, u2} R σ _inst_3) r) (FunLike.coe.{max (succ u2) (succ u1), succ u1, max (succ u2) (succ u1)} (RingHom.{u1, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_3)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u2, u1} σ R _inst_3) _x) (MulHomClass.toFunLike.{max u2 u1, u1, max u2 u1} (RingHom.{u1, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_3)))) R (MvPolynomial.{u2, u1} σ R _inst_3) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)))) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_3) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_3))))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u1, max u2 u1} (RingHom.{u1, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_3)))) R (MvPolynomial.{u2, u1} σ R _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_3) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_3)))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u1, max u2 u1} (RingHom.{u1, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_3)))) R (MvPolynomial.{u2, u1} σ R _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_3))) (RingHom.instRingHomClassRingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_3)) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ R _inst_3) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_3))))))) (MvPolynomial.C.{u1, u2} R σ _inst_3) s)) (Eq.{succ u1} R r s)
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.C_inj MvPolynomial.C_injₓ'. -/
 @[simp]
-theorem c_inj {σ : Type _} (R : Type _) [CommSemiring R] (r s : R) :
-    (c r : MvPolynomial σ R) = c s ↔ r = s :=
-  (c_injective σ R).eq_iff
-#align mv_polynomial.C_inj MvPolynomial.c_inj
+theorem C_inj {σ : Type _} (R : Type _) [CommSemiring R] (r s : R) :
+    (C r : MvPolynomial σ R) = C s ↔ r = s :=
+  (C_injective σ R).eq_iff
+#align mv_polynomial.C_inj MvPolynomial.C_inj
 
+#print MvPolynomial.infinite_of_infinite /-
 instance infinite_of_infinite (σ : Type _) (R : Type _) [CommSemiring R] [Infinite R] :
     Infinite (MvPolynomial σ R) :=
-  Infinite.of_injective c (c_injective _ _)
+  Infinite.of_injective C (C_injective _ _)
 #align mv_polynomial.infinite_of_infinite MvPolynomial.infinite_of_infinite
+-/
 
+#print MvPolynomial.infinite_of_nonempty /-
 instance infinite_of_nonempty (σ : Type _) (R : Type _) [Nonempty σ] [CommSemiring R]
     [Nontrivial R] : Infinite (MvPolynomial σ R) :=
   Infinite.of_injective ((fun s : σ →₀ ℕ => monomial s 1) ∘ single (Classical.arbitrary σ)) <|
     (monomial_left_injective one_ne_zero).comp (Finsupp.single_injective _)
 #align mv_polynomial.infinite_of_nonempty MvPolynomial.infinite_of_nonempty
+-/
 
-theorem c_eq_coe_nat (n : ℕ) : (c ↑n : MvPolynomial σ R) = n := by
+/- warning: mv_polynomial.C_eq_coe_nat -> MvPolynomial.C_eq_coe_nat is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] (n : Nat), Eq.{max (succ u2) (succ u1)} (MvPolynomial.{u2, u1} σ R _inst_1) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (fun (_x : RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (MvPolynomial.C.{u1, u2} R σ _inst_1) ((fun (a : Type) (b : Type.{u1}) [self : HasLiftT.{1, succ u1} a b] => self.0) Nat R (HasLiftT.mk.{1, succ u1} Nat R (CoeTCₓ.coe.{1, succ u1} Nat R (Nat.castCoe.{u1} R (AddMonoidWithOne.toNatCast.{u1} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} R (NonAssocSemiring.toAddCommMonoidWithOne.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))))) n)) ((fun (a : Type) (b : Sort.{max (succ u2) (succ u1)}) [self : HasLiftT.{1, max (succ u2) (succ u1)} a b] => self.0) Nat (MvPolynomial.{u2, u1} σ R _inst_1) (HasLiftT.mk.{1, max (succ u2) (succ u1)} Nat (MvPolynomial.{u2, u1} σ R _inst_1) (CoeTCₓ.coe.{1, max (succ u2) (succ u1)} Nat (MvPolynomial.{u2, u1} σ R _inst_1) (Nat.castCoe.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (AddMonoidWithOne.toNatCast.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (AddCommMonoidWithOne.toAddMonoidWithOne.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toAddCommMonoidWithOne.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))))) n)
+but is expected to have type
+  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] (n : Nat), Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) (Nat.cast.{u2} R (Semiring.toNatCast.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) n)) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) (Nat.cast.{u2} R (Semiring.toNatCast.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) n)) (Nat.cast.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) (Nat.cast.{u2} R (Semiring.toNatCast.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) n)) (Semiring.toNatCast.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) (Nat.cast.{u2} R (Semiring.toNatCast.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) n)) (CommSemiring.toSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) (Nat.cast.{u2} R (Semiring.toNatCast.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) n)) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) n)
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.C_eq_coe_nat MvPolynomial.C_eq_coe_natₓ'. -/
+theorem C_eq_coe_nat (n : ℕ) : (C ↑n : MvPolynomial σ R) = n := by
   induction n <;> simp [Nat.succ_eq_add_one, *]
-#align mv_polynomial.C_eq_coe_nat MvPolynomial.c_eq_coe_nat
-
-theorem c_mul' : MvPolynomial.c a * p = a • p :=
+#align mv_polynomial.C_eq_coe_nat MvPolynomial.C_eq_coe_nat
+
+/- warning: mv_polynomial.C_mul' -> MvPolynomial.C_mul' is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {σ : Type.{u2}} {a : R} [_inst_1 : CommSemiring.{u1} R] {p : MvPolynomial.{u2, u1} σ R _inst_1}, Eq.{succ (max u2 u1)} (MvPolynomial.{u2, u1} σ R _inst_1) (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Distrib.toHasMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (fun (_x : RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (MvPolynomial.C.{u1, u2} R σ _inst_1) a) p) (SMul.smul.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (SMulZeroClass.toHasSmul.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (AddZeroClass.toHasZero.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))))))) (SMulWithZero.toSmulZeroClass.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))))))) (MulActionWithZero.toSMulWithZero.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))))))) (Module.toMulActionWithZero.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))))) a p)
+but is expected to have type
+  forall {R : Type.{u2}} {σ : Type.{u1}} {a : R} [_inst_1 : CommSemiring.{u2} R] {p : MvPolynomial.{u1, u2} σ R _inst_1}, Eq.{max (succ u2) (succ u1)} (MvPolynomial.{u1, u2} σ R _inst_1) (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (instHMul.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (Semiring.toNonAssocSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (CommSemiring.toSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) a) p) (HSMul.hSMul.{u2, max u2 u1, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (instHSMul.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Algebra.toSMul.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) a p)
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.C_mul' MvPolynomial.C_mul'ₓ'. -/
+theorem C_mul' : MvPolynomial.C a * p = a • p :=
   (Algebra.smul_def a p).symm
-#align mv_polynomial.C_mul' MvPolynomial.c_mul'
-
-theorem smul_eq_c_mul (p : MvPolynomial σ R) (a : R) : a • p = c a * p :=
-  c_mul'.symm
-#align mv_polynomial.smul_eq_C_mul MvPolynomial.smul_eq_c_mul
-
-theorem c_eq_smul_one : (c a : MvPolynomial σ R) = a • 1 := by rw [← C_mul', mul_one]
-#align mv_polynomial.C_eq_smul_one MvPolynomial.c_eq_smul_one
-
-theorem x_injective [Nontrivial R] : Function.Injective (x : σ → MvPolynomial σ R) :=
+#align mv_polynomial.C_mul' MvPolynomial.C_mul'
+
+/- warning: mv_polynomial.smul_eq_C_mul -> MvPolynomial.smul_eq_C_mul is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] (p : MvPolynomial.{u2, u1} σ R _inst_1) (a : R), Eq.{succ (max u2 u1)} (MvPolynomial.{u2, u1} σ R _inst_1) (SMul.smul.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (SMulZeroClass.toHasSmul.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (AddZeroClass.toHasZero.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))))))) (SMulWithZero.toSmulZeroClass.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))))))) (MulActionWithZero.toSMulWithZero.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))))))) (Module.toMulActionWithZero.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))))) a p) (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Distrib.toHasMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (fun (_x : RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (MvPolynomial.C.{u1, u2} R σ _inst_1) a) p)
+but is expected to have type
+  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] (p : MvPolynomial.{u1, u2} σ R _inst_1) (a : R), Eq.{max (succ u2) (succ u1)} (MvPolynomial.{u1, u2} σ R _inst_1) (HSMul.hSMul.{u2, max u2 u1, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (instHSMul.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Algebra.toSMul.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) a p) (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (instHMul.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (Semiring.toNonAssocSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (CommSemiring.toSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) a) p)
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.smul_eq_C_mul MvPolynomial.smul_eq_C_mulₓ'. -/
+theorem smul_eq_C_mul (p : MvPolynomial σ R) (a : R) : a • p = C a * p :=
+  C_mul'.symm
+#align mv_polynomial.smul_eq_C_mul MvPolynomial.smul_eq_C_mul
+
+/- warning: mv_polynomial.C_eq_smul_one -> MvPolynomial.C_eq_smul_one is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {σ : Type.{u2}} {a : R} [_inst_1 : CommSemiring.{u1} R], Eq.{max (succ u2) (succ u1)} (MvPolynomial.{u2, u1} σ R _inst_1) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (fun (_x : RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (MvPolynomial.C.{u1, u2} R σ _inst_1) a) (SMul.smul.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (SMulZeroClass.toHasSmul.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (AddZeroClass.toHasZero.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))))))) (SMulWithZero.toSmulZeroClass.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))))))) (MulActionWithZero.toSMulWithZero.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))))))) (Module.toMulActionWithZero.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))))) a (OfNat.ofNat.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) 1 (OfNat.mk.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) 1 (One.one.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (AddMonoidWithOne.toOne.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (AddCommMonoidWithOne.toAddMonoidWithOne.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toAddCommMonoidWithOne.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))))))
+but is expected to have type
+  forall {R : Type.{u2}} {σ : Type.{u1}} {a : R} [_inst_1 : CommSemiring.{u2} R], Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) a) (HSMul.hSMul.{u2, max u2 u1, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (instHSMul.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Algebra.toSMul.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) a (OfNat.ofNat.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) 1 (One.toOfNat1.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toOne.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.C_eq_smul_one MvPolynomial.C_eq_smul_oneₓ'. -/
+theorem C_eq_smul_one : (C a : MvPolynomial σ R) = a • 1 := by rw [← C_mul', mul_one]
+#align mv_polynomial.C_eq_smul_one MvPolynomial.C_eq_smul_one
+
+/- warning: mv_polynomial.X_injective -> MvPolynomial.X_injective is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_3 : Nontrivial.{u1} R], Function.Injective.{succ u2, max (succ u2) (succ u1)} σ (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.X.{u1, u2} R σ _inst_1)
+but is expected to have type
+  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_3 : Nontrivial.{u2} R], Function.Injective.{succ u1, max (succ u2) (succ u1)} σ (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.X.{u2, u1} R σ _inst_1)
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.X_injective MvPolynomial.X_injectiveₓ'. -/
+theorem X_injective [Nontrivial R] : Function.Injective (X : σ → MvPolynomial σ R) :=
   (monomial_left_injective one_ne_zero).comp (Finsupp.single_left_injective one_ne_zero)
-#align mv_polynomial.X_injective MvPolynomial.x_injective
-
-@[simp]
-theorem x_inj [Nontrivial R] (m n : σ) : x m = (x n : MvPolynomial σ R) ↔ m = n :=
-  x_injective.eq_iff
-#align mv_polynomial.X_inj MvPolynomial.x_inj
-
+#align mv_polynomial.X_injective MvPolynomial.X_injective
+
+/- warning: mv_polynomial.X_inj -> MvPolynomial.X_inj is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_3 : Nontrivial.{u1} R] (m : σ) (n : σ), Iff (Eq.{max (succ u2) (succ u1)} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.X.{u1, u2} R σ _inst_1 m) (MvPolynomial.X.{u1, u2} R σ _inst_1 n)) (Eq.{succ u2} σ m n)
+but is expected to have type
+  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_3 : Nontrivial.{u2} R] (m : σ) (n : σ), Iff (Eq.{max (succ u2) (succ u1)} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.X.{u2, u1} R σ _inst_1 m) (MvPolynomial.X.{u2, u1} R σ _inst_1 n)) (Eq.{succ u1} σ m n)
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.X_inj MvPolynomial.X_injₓ'. -/
+@[simp]
+theorem X_inj [Nontrivial R] (m n : σ) : X m = (X n : MvPolynomial σ R) ↔ m = n :=
+  X_injective.eq_iff
+#align mv_polynomial.X_inj MvPolynomial.X_inj
+
+/- warning: mv_polynomial.monomial_pow -> MvPolynomial.monomial_pow is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {σ : Type.{u2}} {a : R} {e : Nat} {s : Finsupp.{u2, 0} σ Nat Nat.hasZero} [_inst_1 : CommSemiring.{u1} R], Eq.{succ (max u2 u1)} (MvPolynomial.{u2, u1} σ R _inst_1) (HPow.hPow.{max u2 u1, 0, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) Nat (MvPolynomial.{u2, u1} σ R _inst_1) (instHPow.{max u2 u1, 0} (MvPolynomial.{u2, u1} σ R _inst_1) Nat (Monoid.Pow.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MonoidWithZero.toMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toMonoidWithZero.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))))) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 s) a) e) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 (SMul.smul.{0, u2} Nat (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.hasNatScalar.{u2, 0} σ Nat Nat.addMonoid) e s)) (HPow.hPow.{u1, 0, u1} R Nat R (instHPow.{u1, 0} R Nat (Monoid.Pow.{u1} R (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) a e))
+but is expected to have type
+  forall {R : Type.{u2}} {σ : Type.{u1}} {a : R} {e : Nat} {s : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)} [_inst_1 : CommSemiring.{u2} R], Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (HPow.hPow.{max u2 u1, 0, max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) Nat ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (instHPow.{max u2 u1, 0} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) Nat (Monoid.Pow.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (MonoidWithZero.toMonoid.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (Semiring.toMonoidWithZero.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (CommSemiring.toSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s) a) e) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 (HSMul.hSMul.{0, u1, u1} Nat (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (instHSMul.{0, u1} Nat (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.hasNatScalar.{u1, 0} σ Nat Nat.addMonoid)) e s)) (HPow.hPow.{u2, 0, u2} R Nat R (instHPow.{u2, 0} R Nat (Monoid.Pow.{u2} R (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) a e))
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.monomial_pow MvPolynomial.monomial_powₓ'. -/
 theorem monomial_pow : monomial s a ^ e = monomial (e • s) (a ^ e) :=
   AddMonoidAlgebra.single_pow e
 #align mv_polynomial.monomial_pow MvPolynomial.monomial_pow
 
+/- warning: mv_polynomial.monomial_mul -> MvPolynomial.monomial_mul is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {s : Finsupp.{u2, 0} σ Nat Nat.hasZero} {s' : Finsupp.{u2, 0} σ Nat Nat.hasZero} {a : R} {b : R}, Eq.{succ (max u2 u1)} (MvPolynomial.{u2, u1} σ R _inst_1) (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Distrib.toHasMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 s) a) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 s') b)) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 (HAdd.hAdd.{u2, u2, u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.{u2, 0} σ Nat Nat.hasZero) (instHAdd.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.add.{u2, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid))) s s')) (HMul.hMul.{u1, u1, u1} R R R (instHMul.{u1} R (Distrib.toHasMul.{u1} R (NonUnitalNonAssocSemiring.toDistrib.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))) a b))
+but is expected to have type
+  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] {s : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)} {s' : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)} {a : R} {b : R}, Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) b) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (instHMul.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (Semiring.toNonAssocSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (CommSemiring.toSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s) a) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s') b)) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 (HAdd.hAdd.{u1, u1, u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (instHAdd.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.add.{u1, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid))) s s')) (HMul.hMul.{u2, u2, u2} R R R (instHMul.{u2} R (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) a b))
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.monomial_mul MvPolynomial.monomial_mulₓ'. -/
 @[simp]
 theorem monomial_mul {s s' : σ →₀ ℕ} {a b : R} :
     monomial s a * monomial s' b = monomial (s + s') (a * b) :=
@@ -289,90 +449,194 @@ theorem monomial_mul {s s' : σ →₀ ℕ} {a b : R} :
 
 variable (σ R)
 
+#print MvPolynomial.monomialOneHom /-
 /-- `λ s, monomial s 1` as a homomorphism. -/
 def monomialOneHom : Multiplicative (σ →₀ ℕ) →* MvPolynomial σ R :=
   AddMonoidAlgebra.of _ _
 #align mv_polynomial.monomial_one_hom MvPolynomial.monomialOneHom
+-/
 
 variable {σ R}
 
+/- warning: mv_polynomial.monomial_one_hom_apply -> MvPolynomial.monomialOneHom_apply is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {σ : Type.{u2}} {s : Finsupp.{u2, 0} σ Nat Nat.hasZero} [_inst_1 : CommSemiring.{u1} R], Eq.{max (succ u2) (succ u1)} (MvPolynomial.{u2, u1} σ R _inst_1) (coeFn.{max (succ (max u2 u1)) (succ u2), max (succ u2) (succ (max u2 u1))} (MonoidHom.{u2, max u2 u1} (Multiplicative.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (MvPolynomial.{u2, u1} σ R _inst_1) (Multiplicative.mulOneClass.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.addZeroClass.{u2, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid))) (MulZeroOneClass.toMulOneClass.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toMulZeroOneClass.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))))) (fun (_x : MonoidHom.{u2, max u2 u1} (Multiplicative.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (MvPolynomial.{u2, u1} σ R _inst_1) (Multiplicative.mulOneClass.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.addZeroClass.{u2, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid))) (MulZeroOneClass.toMulOneClass.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toMulZeroOneClass.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))))) => (Multiplicative.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) -> (MvPolynomial.{u2, u1} σ R _inst_1)) (MonoidHom.hasCoeToFun.{u2, max u2 u1} (Multiplicative.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (MvPolynomial.{u2, u1} σ R _inst_1) (Multiplicative.mulOneClass.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.addZeroClass.{u2, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid))) (MulZeroOneClass.toMulOneClass.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toMulZeroOneClass.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))))) (MvPolynomial.monomialOneHom.{u1, u2} R σ _inst_1) s) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 s) (OfNat.ofNat.{u1} R 1 (OfNat.mk.{u1} R 1 (One.one.{u1} R (AddMonoidWithOne.toOne.{u1} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} R (NonAssocSemiring.toAddCommMonoidWithOne.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))))))
+but is expected to have type
+  forall {R : Type.{u2}} {σ : Type.{u1}} {s : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)} [_inst_1 : CommSemiring.{u2} R], Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : Multiplicative.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) => MvPolynomial.{u1, u2} σ R _inst_1) s) (FunLike.coe.{max (succ u2) (succ u1), succ u1, max (succ u2) (succ u1)} (MonoidHom.{u1, max u2 u1} (Multiplicative.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (MvPolynomial.{u1, u2} σ R _inst_1) (Multiplicative.mulOneClass.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.addZeroClass.{u1, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid))) (MulZeroOneClass.toMulOneClass.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toMulZeroOneClass.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (Multiplicative.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (fun (_x : Multiplicative.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : Multiplicative.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u2 u1, u1, max u2 u1} (MonoidHom.{u1, max u2 u1} (Multiplicative.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (MvPolynomial.{u1, u2} σ R _inst_1) (Multiplicative.mulOneClass.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.addZeroClass.{u1, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid))) (MulZeroOneClass.toMulOneClass.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toMulZeroOneClass.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (Multiplicative.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (MvPolynomial.{u1, u2} σ R _inst_1) (MulOneClass.toMul.{u1} (Multiplicative.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (Multiplicative.mulOneClass.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.addZeroClass.{u1, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid)))) (MulOneClass.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MulZeroOneClass.toMulOneClass.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toMulZeroOneClass.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (MonoidHomClass.toMulHomClass.{max u2 u1, u1, max u2 u1} (MonoidHom.{u1, max u2 u1} (Multiplicative.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (MvPolynomial.{u1, u2} σ R _inst_1) (Multiplicative.mulOneClass.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.addZeroClass.{u1, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid))) (MulZeroOneClass.toMulOneClass.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toMulZeroOneClass.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (Multiplicative.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (MvPolynomial.{u1, u2} σ R _inst_1) (Multiplicative.mulOneClass.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.addZeroClass.{u1, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid))) (MulZeroOneClass.toMulOneClass.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toMulZeroOneClass.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (MonoidHom.monoidHomClass.{u1, max u2 u1} (Multiplicative.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (MvPolynomial.{u1, u2} σ R _inst_1) (Multiplicative.mulOneClass.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.addZeroClass.{u1, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid))) (MulZeroOneClass.toMulOneClass.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toMulZeroOneClass.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))))) (MvPolynomial.monomialOneHom.{u2, u1} R σ _inst_1) s) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s) (OfNat.ofNat.{u2} R 1 (One.toOfNat1.{u2} R (Semiring.toOne.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))))
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.monomial_one_hom_apply MvPolynomial.monomialOneHom_applyₓ'. -/
 @[simp]
 theorem monomialOneHom_apply : monomialOneHom R σ s = (monomial s 1 : MvPolynomial σ R) :=
   rfl
 #align mv_polynomial.monomial_one_hom_apply MvPolynomial.monomialOneHom_apply
 
-theorem x_pow_eq_monomial : x n ^ e = monomial (single n e) (1 : R) := by simp [X, monomial_pow]
-#align mv_polynomial.X_pow_eq_monomial MvPolynomial.x_pow_eq_monomial
-
-theorem monomial_add_single : monomial (s + single n e) a = monomial s a * x n ^ e := by
+/- warning: mv_polynomial.X_pow_eq_monomial -> MvPolynomial.X_pow_eq_monomial is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {σ : Type.{u2}} {e : Nat} {n : σ} [_inst_1 : CommSemiring.{u1} R], Eq.{succ (max u2 u1)} (MvPolynomial.{u2, u1} σ R _inst_1) (HPow.hPow.{max u2 u1, 0, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) Nat (MvPolynomial.{u2, u1} σ R _inst_1) (instHPow.{max u2 u1, 0} (MvPolynomial.{u2, u1} σ R _inst_1) Nat (Monoid.Pow.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MonoidWithZero.toMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toMonoidWithZero.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))))) (MvPolynomial.X.{u1, u2} R σ _inst_1 n) e) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 (Finsupp.single.{u2, 0} σ Nat Nat.hasZero n e)) (OfNat.ofNat.{u1} R 1 (OfNat.mk.{u1} R 1 (One.one.{u1} R (AddMonoidWithOne.toOne.{u1} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} R (NonAssocSemiring.toAddCommMonoidWithOne.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))))))
+but is expected to have type
+  forall {R : Type.{u2}} {σ : Type.{u1}} {e : Nat} {n : σ} [_inst_1 : CommSemiring.{u2} R], Eq.{max (succ u2) (succ u1)} (MvPolynomial.{u1, u2} σ R _inst_1) (HPow.hPow.{max u1 u2, 0, max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) Nat (MvPolynomial.{u1, u2} σ R _inst_1) (instHPow.{max u1 u2, 0} (MvPolynomial.{u1, u2} σ R _inst_1) Nat (Monoid.Pow.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MonoidWithZero.toMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toMonoidWithZero.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (MvPolynomial.X.{u2, u1} R σ _inst_1 n) e) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 (Finsupp.single.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) n e)) (OfNat.ofNat.{u2} R 1 (One.toOfNat1.{u2} R (Semiring.toOne.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))))
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.X_pow_eq_monomial MvPolynomial.X_pow_eq_monomialₓ'. -/
+theorem X_pow_eq_monomial : X n ^ e = monomial (single n e) (1 : R) := by simp [X, monomial_pow]
+#align mv_polynomial.X_pow_eq_monomial MvPolynomial.X_pow_eq_monomial
+
+/- warning: mv_polynomial.monomial_add_single -> MvPolynomial.monomial_add_single is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {σ : Type.{u2}} {a : R} {e : Nat} {n : σ} {s : Finsupp.{u2, 0} σ Nat Nat.hasZero} [_inst_1 : CommSemiring.{u1} R], Eq.{max (succ u2) (succ u1)} (MvPolynomial.{u2, u1} σ R _inst_1) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 (HAdd.hAdd.{u2, u2, u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.{u2, 0} σ Nat Nat.hasZero) (instHAdd.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.add.{u2, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid))) s (Finsupp.single.{u2, 0} σ Nat Nat.hasZero n e))) a) (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Distrib.toHasMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 s) a) (HPow.hPow.{max u2 u1, 0, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) Nat (MvPolynomial.{u2, u1} σ R _inst_1) (instHPow.{max u2 u1, 0} (MvPolynomial.{u2, u1} σ R _inst_1) Nat (Monoid.Pow.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MonoidWithZero.toMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toMonoidWithZero.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))))) (MvPolynomial.X.{u1, u2} R σ _inst_1 n) e))
+but is expected to have type
+  forall {R : Type.{u2}} {σ : Type.{u1}} {a : R} {e : Nat} {n : σ} {s : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)} [_inst_1 : CommSemiring.{u2} R], Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 (HAdd.hAdd.{u1, u1, u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (instHAdd.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.add.{u1, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid))) s (Finsupp.single.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) n e))) a) (HMul.hMul.{max u2 u1, max u1 u2, max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (MvPolynomial.{u1, u2} σ R _inst_1) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (instHMul.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (Semiring.toNonAssocSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (CommSemiring.toSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s) a) (HPow.hPow.{max u1 u2, 0, max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) Nat (MvPolynomial.{u1, u2} σ R _inst_1) (instHPow.{max u1 u2, 0} (MvPolynomial.{u1, u2} σ R _inst_1) Nat (Monoid.Pow.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MonoidWithZero.toMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toMonoidWithZero.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (MvPolynomial.X.{u2, u1} R σ _inst_1 n) e))
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.monomial_add_single MvPolynomial.monomial_add_singleₓ'. -/
+theorem monomial_add_single : monomial (s + single n e) a = monomial s a * X n ^ e := by
   rw [X_pow_eq_monomial, monomial_mul, mul_one]
 #align mv_polynomial.monomial_add_single MvPolynomial.monomial_add_single
 
-theorem monomial_single_add : monomial (single n e + s) a = x n ^ e * monomial s a := by
+/- warning: mv_polynomial.monomial_single_add -> MvPolynomial.monomial_single_add is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {σ : Type.{u2}} {a : R} {e : Nat} {n : σ} {s : Finsupp.{u2, 0} σ Nat Nat.hasZero} [_inst_1 : CommSemiring.{u1} R], Eq.{max (succ u2) (succ u1)} (MvPolynomial.{u2, u1} σ R _inst_1) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 (HAdd.hAdd.{u2, u2, u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.{u2, 0} σ Nat Nat.hasZero) (instHAdd.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.add.{u2, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid))) (Finsupp.single.{u2, 0} σ Nat Nat.hasZero n e) s)) a) (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Distrib.toHasMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))) (HPow.hPow.{max u2 u1, 0, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) Nat (MvPolynomial.{u2, u1} σ R _inst_1) (instHPow.{max u2 u1, 0} (MvPolynomial.{u2, u1} σ R _inst_1) Nat (Monoid.Pow.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MonoidWithZero.toMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toMonoidWithZero.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))))) (MvPolynomial.X.{u1, u2} R σ _inst_1 n) e) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 s) a))
+but is expected to have type
+  forall {R : Type.{u2}} {σ : Type.{u1}} {a : R} {e : Nat} {n : σ} {s : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)} [_inst_1 : CommSemiring.{u2} R], Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 (HAdd.hAdd.{u1, u1, u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (instHAdd.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.add.{u1, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid))) (Finsupp.single.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) n e) s)) a) (HMul.hMul.{max u1 u2, max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (instHMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (HPow.hPow.{max u1 u2, 0, max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) Nat (MvPolynomial.{u1, u2} σ R _inst_1) (instHPow.{max u1 u2, 0} (MvPolynomial.{u1, u2} σ R _inst_1) Nat (Monoid.Pow.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MonoidWithZero.toMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toMonoidWithZero.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (MvPolynomial.X.{u2, u1} R σ _inst_1 n) e) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s) a))
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.monomial_single_add MvPolynomial.monomial_single_addₓ'. -/
+theorem monomial_single_add : monomial (single n e + s) a = X n ^ e * monomial s a := by
   rw [X_pow_eq_monomial, monomial_mul, one_mul]
 #align mv_polynomial.monomial_single_add MvPolynomial.monomial_single_add
 
-theorem c_mul_x_pow_eq_monomial {s : σ} {a : R} {n : ℕ} : c a * x s ^ n = monomial (single s n) a :=
+/- warning: mv_polynomial.C_mul_X_pow_eq_monomial -> MvPolynomial.C_mul_X_pow_eq_monomial is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {s : σ} {a : R} {n : Nat}, Eq.{succ (max u2 u1)} (MvPolynomial.{u2, u1} σ R _inst_1) (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Distrib.toHasMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (fun (_x : RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (MvPolynomial.C.{u1, u2} R σ _inst_1) a) (HPow.hPow.{max u2 u1, 0, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) Nat (MvPolynomial.{u2, u1} σ R _inst_1) (instHPow.{max u2 u1, 0} (MvPolynomial.{u2, u1} σ R _inst_1) Nat (Monoid.Pow.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MonoidWithZero.toMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toMonoidWithZero.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))))) (MvPolynomial.X.{u1, u2} R σ _inst_1 s) n)) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 (Finsupp.single.{u2, 0} σ Nat Nat.hasZero s n)) a)
+but is expected to have type
+  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] {s : σ} {a : R} {n : Nat}, Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (HMul.hMul.{max u2 u1, max u1 u2, max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (MvPolynomial.{u1, u2} σ R _inst_1) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (instHMul.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (Semiring.toNonAssocSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (CommSemiring.toSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) a) (HPow.hPow.{max u1 u2, 0, max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) Nat (MvPolynomial.{u1, u2} σ R _inst_1) (instHPow.{max u1 u2, 0} (MvPolynomial.{u1, u2} σ R _inst_1) Nat (Monoid.Pow.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MonoidWithZero.toMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toMonoidWithZero.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (MvPolynomial.X.{u2, u1} R σ _inst_1 s) n)) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 (Finsupp.single.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) s n)) a)
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.C_mul_X_pow_eq_monomial MvPolynomial.C_mul_X_pow_eq_monomialₓ'. -/
+theorem C_mul_X_pow_eq_monomial {s : σ} {a : R} {n : ℕ} : C a * X s ^ n = monomial (single s n) a :=
   by rw [← zero_add (single s n), monomial_add_single, C_apply]
-#align mv_polynomial.C_mul_X_pow_eq_monomial MvPolynomial.c_mul_x_pow_eq_monomial
-
-theorem c_mul_x_eq_monomial {s : σ} {a : R} : c a * x s = monomial (single s 1) a := by
+#align mv_polynomial.C_mul_X_pow_eq_monomial MvPolynomial.C_mul_X_pow_eq_monomial
+
+/- warning: mv_polynomial.C_mul_X_eq_monomial -> MvPolynomial.C_mul_X_eq_monomial is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {s : σ} {a : R}, Eq.{succ (max u2 u1)} (MvPolynomial.{u2, u1} σ R _inst_1) (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Distrib.toHasMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (fun (_x : RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (MvPolynomial.C.{u1, u2} R σ _inst_1) a) (MvPolynomial.X.{u1, u2} R σ _inst_1 s)) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 (Finsupp.single.{u2, 0} σ Nat Nat.hasZero s (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) a)
+but is expected to have type
+  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] {s : σ} {a : R}, Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (HMul.hMul.{max u2 u1, max u1 u2, max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (MvPolynomial.{u1, u2} σ R _inst_1) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (instHMul.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (Semiring.toNonAssocSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (CommSemiring.toSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) a) (MvPolynomial.X.{u2, u1} R σ _inst_1 s)) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 (Finsupp.single.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) s (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) a)
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.C_mul_X_eq_monomial MvPolynomial.C_mul_X_eq_monomialₓ'. -/
+theorem C_mul_X_eq_monomial {s : σ} {a : R} : C a * X s = monomial (single s 1) a := by
   rw [← C_mul_X_pow_eq_monomial, pow_one]
-#align mv_polynomial.C_mul_X_eq_monomial MvPolynomial.c_mul_x_eq_monomial
+#align mv_polynomial.C_mul_X_eq_monomial MvPolynomial.C_mul_X_eq_monomial
 
+/- warning: mv_polynomial.monomial_zero -> MvPolynomial.monomial_zero is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {s : Finsupp.{u2, 0} σ Nat Nat.hasZero}, Eq.{max (succ u2) (succ u1)} (MvPolynomial.{u2, u1} σ R _inst_1) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 s) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))))))) (OfNat.ofNat.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) 0 (OfNat.mk.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) 0 (Zero.zero.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MulZeroClass.toHasZero.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toMulZeroClass.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))))))))
+but is expected to have type
+  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] {s : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)}, Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))))) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))))) (OfNat.ofNat.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))))) 0 (Zero.toOfNat0.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))))) (CommMonoidWithZero.toZero.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))))) (CommSemiring.toCommMonoidWithZero.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))))) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.monomial_zero MvPolynomial.monomial_zeroₓ'. -/
 @[simp]
 theorem monomial_zero {s : σ →₀ ℕ} : monomial s (0 : R) = 0 :=
   single_zero _
 #align mv_polynomial.monomial_zero MvPolynomial.monomial_zero
 
+/- warning: mv_polynomial.monomial_zero' -> MvPolynomial.monomial_zero' is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R], Eq.{max (succ u2) (succ u1)} ((fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 (OfNat.ofNat.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) 0 (OfNat.mk.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) 0 (Zero.zero.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.zero.{u2, 0} σ Nat Nat.hasZero)))))) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 (OfNat.ofNat.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) 0 (OfNat.mk.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) 0 (Zero.zero.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.zero.{u2, 0} σ Nat Nat.hasZero)))))) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (fun (_x : RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (MvPolynomial.C.{u1, u2} R σ _inst_1))
+but is expected to have type
+  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R], Eq.{max (succ u2) (succ u1)} (forall (a : R), (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 (OfNat.ofNat.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) 0 (Zero.toOfNat0.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.zero.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)))))) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1))
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.monomial_zero' MvPolynomial.monomial_zero'ₓ'. -/
 @[simp]
-theorem monomial_zero' : (monomial (0 : σ →₀ ℕ) : R → MvPolynomial σ R) = c :=
+theorem monomial_zero' : (monomial (0 : σ →₀ ℕ) : R → MvPolynomial σ R) = C :=
   rfl
 #align mv_polynomial.monomial_zero' MvPolynomial.monomial_zero'
 
+/- warning: mv_polynomial.monomial_eq_zero -> MvPolynomial.monomial_eq_zero is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {s : Finsupp.{u2, 0} σ Nat Nat.hasZero} {b : R}, Iff (Eq.{max (succ u2) (succ u1)} (MvPolynomial.{u2, u1} σ R _inst_1) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 s) b) (OfNat.ofNat.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) 0 (OfNat.mk.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) 0 (Zero.zero.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MulZeroClass.toHasZero.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toMulZeroClass.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))))))))) (Eq.{succ u1} R b (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))))))
+but is expected to have type
+  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] {s : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)} {b : R}, Iff (Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) b) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s) b) (OfNat.ofNat.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) b) 0 (Zero.toOfNat0.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) b) (CommMonoidWithZero.toZero.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) b) (CommSemiring.toCommMonoidWithZero.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) b) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (Eq.{succ u2} R b (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1)))))
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.monomial_eq_zero MvPolynomial.monomial_eq_zeroₓ'. -/
 @[simp]
 theorem monomial_eq_zero {s : σ →₀ ℕ} {b : R} : monomial s b = 0 ↔ b = 0 :=
   Finsupp.single_eq_zero
 #align mv_polynomial.monomial_eq_zero MvPolynomial.monomial_eq_zero
 
+/- warning: mv_polynomial.sum_monomial_eq -> MvPolynomial.sum_monomial_eq is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {A : Type.{u3}} [_inst_3 : AddCommMonoid.{u3} A] {u : Finsupp.{u2, 0} σ Nat Nat.hasZero} {r : R} {b : (Finsupp.{u2, 0} σ Nat Nat.hasZero) -> R -> A}, (Eq.{succ u3} A (b u (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))))))) (OfNat.ofNat.{u3} A 0 (OfNat.mk.{u3} A 0 (Zero.zero.{u3} A (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A _inst_3))))))) -> (Eq.{succ u3} A (Finsupp.sum.{u2, u1, u3} (Finsupp.{u2, 0} σ Nat Nat.hasZero) R A (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) _inst_3 (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 u) r) b) (b u r))
+but is expected to have type
+  forall {R : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u3} R] {A : Type.{u2}} [_inst_3 : AddCommMonoid.{u2} A] {u : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)} {r : R} {b : (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) -> R -> A}, (Eq.{succ u2} A (b u (OfNat.ofNat.{u3} R 0 (Zero.toOfNat0.{u3} R (CommMonoidWithZero.toZero.{u3} R (CommSemiring.toCommMonoidWithZero.{u3} R _inst_1))))) (OfNat.ofNat.{u2} A 0 (Zero.toOfNat0.{u2} A (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A _inst_3))))) -> (Eq.{succ u2} A (Finsupp.sum.{u1, u3, u2} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R A (MonoidWithZero.toZero.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) _inst_3 (FunLike.coe.{max (succ u1) (succ u3), succ u3, max (succ u1) (succ u3)} (LinearMap.{u3, u3, u3, max u3 u1} R R (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) R (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (MvPolynomial.module.{u3, u3, u1} R R σ (CommSemiring.toSemiring.{u3} R _inst_1) _inst_1 (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u3} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u3, u3, u3, max u1 u3} R R R (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (MvPolynomial.module.{u3, u3, u1} R R σ (CommSemiring.toSemiring.{u3} R _inst_1) _inst_1 (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (MvPolynomial.monomial.{u3, u1} R σ _inst_1 u) r) b) (b u r))
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.sum_monomial_eq MvPolynomial.sum_monomial_eqₓ'. -/
 @[simp]
 theorem sum_monomial_eq {A : Type _} [AddCommMonoid A] {u : σ →₀ ℕ} {r : R} {b : (σ →₀ ℕ) → R → A}
     (w : b u 0 = 0) : Sum (monomial u r) b = b u r :=
   sum_single_index w
 #align mv_polynomial.sum_monomial_eq MvPolynomial.sum_monomial_eq
 
+/- warning: mv_polynomial.sum_C -> MvPolynomial.sum_C is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {σ : Type.{u2}} {a : R} [_inst_1 : CommSemiring.{u1} R] {A : Type.{u3}} [_inst_3 : AddCommMonoid.{u3} A] {b : (Finsupp.{u2, 0} σ Nat Nat.hasZero) -> R -> A}, (Eq.{succ u3} A (b (OfNat.ofNat.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) 0 (OfNat.mk.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) 0 (Zero.zero.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.zero.{u2, 0} σ Nat Nat.hasZero)))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))))))) (OfNat.ofNat.{u3} A 0 (OfNat.mk.{u3} A 0 (Zero.zero.{u3} A (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A _inst_3))))))) -> (Eq.{succ u3} A (Finsupp.sum.{u2, u1, u3} (Finsupp.{u2, 0} σ Nat Nat.hasZero) R A (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) _inst_3 (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (fun (_x : RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (MvPolynomial.C.{u1, u2} R σ _inst_1) a) b) (b (OfNat.ofNat.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) 0 (OfNat.mk.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) 0 (Zero.zero.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.zero.{u2, 0} σ Nat Nat.hasZero)))) a))
+but is expected to have type
+  forall {R : Type.{u3}} {σ : Type.{u1}} {a : R} [_inst_1 : CommSemiring.{u3} R] {A : Type.{u2}} [_inst_3 : AddCommMonoid.{u2} A] {b : (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) -> R -> A}, (Eq.{succ u2} A (b (OfNat.ofNat.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) 0 (Zero.toOfNat0.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.zero.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)))) (OfNat.ofNat.{u3} R 0 (Zero.toOfNat0.{u3} R (CommMonoidWithZero.toZero.{u3} R (CommSemiring.toCommMonoidWithZero.{u3} R _inst_1))))) (OfNat.ofNat.{u2} A 0 (Zero.toOfNat0.{u2} A (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A _inst_3))))) -> (Eq.{succ u2} A (Finsupp.sum.{u1, u3, u2} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R A (MonoidWithZero.toZero.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) _inst_3 (FunLike.coe.{max (succ u1) (succ u3), succ u3, max (succ u1) (succ u3)} (RingHom.{u3, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u3} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u3, u3, max u1 u3} (RingHom.{u3, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u3, u3, max u1 u3} (RingHom.{u3, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u3, u3, max u1 u3} (RingHom.{u3, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))))) (MvPolynomial.C.{u3, u1} R σ _inst_1) a) b) (b (OfNat.ofNat.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) 0 (Zero.toOfNat0.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.zero.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)))) a))
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.sum_C MvPolynomial.sum_Cₓ'. -/
 @[simp]
-theorem sum_c {A : Type _} [AddCommMonoid A] {b : (σ →₀ ℕ) → R → A} (w : b 0 0 = 0) :
-    Sum (c a) b = b 0 a :=
+theorem sum_C {A : Type _} [AddCommMonoid A] {b : (σ →₀ ℕ) → R → A} (w : b 0 0 = 0) :
+    Sum (C a) b = b 0 a :=
   sum_monomial_eq w
-#align mv_polynomial.sum_C MvPolynomial.sum_c
-
+#align mv_polynomial.sum_C MvPolynomial.sum_C
+
+/- warning: mv_polynomial.monomial_sum_one -> MvPolynomial.monomial_sum_one is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {α : Type.{u3}} (s : Finset.{u3} α) (f : α -> (Finsupp.{u2, 0} σ Nat Nat.hasZero)), Eq.{max (succ u2) (succ u1)} (MvPolynomial.{u2, u1} σ R _inst_1) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 (Finset.sum.{u2, u3} (Finsupp.{u2, 0} σ Nat Nat.hasZero) α (Finsupp.addCommMonoid.{u2, 0} σ Nat Nat.addCommMonoid) s (fun (i : α) => f i))) (OfNat.ofNat.{u1} R 1 (OfNat.mk.{u1} R 1 (One.one.{u1} R (AddMonoidWithOne.toOne.{u1} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} R (NonAssocSemiring.toAddCommMonoidWithOne.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))))))) (Finset.prod.{max u2 u1, u3} (MvPolynomial.{u2, u1} σ R _inst_1) α (CommSemiring.toCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) s (fun (i : α) => coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 (f i)) (OfNat.ofNat.{u1} R 1 (OfNat.mk.{u1} R 1 (One.one.{u1} R (AddMonoidWithOne.toOne.{u1} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} R (NonAssocSemiring.toAddCommMonoidWithOne.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))))))))
+but is expected to have type
+  forall {R : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u3} R] {α : Type.{u2}} (s : Finset.{u2} α) (f : α -> (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))), Eq.{max (succ u3) (succ u1)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u3} σ R _inst_1) (OfNat.ofNat.{u3} R 1 (One.toOfNat1.{u3} R (Semiring.toOne.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))))) (FunLike.coe.{max (succ u1) (succ u3), succ u3, max (succ u1) (succ u3)} (LinearMap.{u3, u3, u3, max u3 u1} R R (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) R (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (MvPolynomial.module.{u3, u3, u1} R R σ (CommSemiring.toSemiring.{u3} R _inst_1) _inst_1 (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u3} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u3, u3, u3, max u1 u3} R R R (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (MvPolynomial.module.{u3, u3, u1} R R σ (CommSemiring.toSemiring.{u3} R _inst_1) _inst_1 (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (MvPolynomial.monomial.{u3, u1} R σ _inst_1 (Finset.sum.{u1, u2} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) α (Finsupp.addCommMonoid.{u1, 0} σ Nat Nat.addCommMonoid) s (fun (i : α) => f i))) (OfNat.ofNat.{u3} R 1 (One.toOfNat1.{u3} R (Semiring.toOne.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))))) (Finset.prod.{max u1 u3, u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u3} σ R _inst_1) (OfNat.ofNat.{u3} R 1 (One.toOfNat1.{u3} R (Semiring.toOne.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))))) α (CommSemiring.toCommMonoid.{max u1 u3} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u3} σ R _inst_1) (OfNat.ofNat.{u3} R 1 (One.toOfNat1.{u3} R (Semiring.toOne.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))))) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) s (fun (i : α) => FunLike.coe.{max (succ u1) (succ u3), succ u3, max (succ u1) (succ u3)} (LinearMap.{u3, u3, u3, max u3 u1} R R (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) R (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (MvPolynomial.module.{u3, u3, u1} R R σ (CommSemiring.toSemiring.{u3} R _inst_1) _inst_1 (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u3} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u3, u3, u3, max u1 u3} R R R (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (MvPolynomial.module.{u3, u3, u1} R R σ (CommSemiring.toSemiring.{u3} R _inst_1) _inst_1 (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (MvPolynomial.monomial.{u3, u1} R σ _inst_1 (f i)) (OfNat.ofNat.{u3} R 1 (One.toOfNat1.{u3} R (Semiring.toOne.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))))))
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.monomial_sum_one MvPolynomial.monomial_sum_oneₓ'. -/
 theorem monomial_sum_one {α : Type _} (s : Finset α) (f : α → σ →₀ ℕ) :
     (monomial (∑ i in s, f i) 1 : MvPolynomial σ R) = ∏ i in s, monomial (f i) 1 :=
   (monomialOneHom R σ).map_prod (fun i => Multiplicative.ofAdd (f i)) s
 #align mv_polynomial.monomial_sum_one MvPolynomial.monomial_sum_one
 
+/- warning: mv_polynomial.monomial_sum_index -> MvPolynomial.monomial_sum_index is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {α : Type.{u3}} (s : Finset.{u3} α) (f : α -> (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (a : R), Eq.{max (succ u2) (succ u1)} (MvPolynomial.{u2, u1} σ R _inst_1) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 (Finset.sum.{u2, u3} (Finsupp.{u2, 0} σ Nat Nat.hasZero) α (Finsupp.addCommMonoid.{u2, 0} σ Nat Nat.addCommMonoid) s (fun (i : α) => f i))) a) (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Distrib.toHasMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (fun (_x : RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (MvPolynomial.C.{u1, u2} R σ _inst_1) a) (Finset.prod.{max u2 u1, u3} (MvPolynomial.{u2, u1} σ R _inst_1) α (CommSemiring.toCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) s (fun (i : α) => coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 (f i)) (OfNat.ofNat.{u1} R 1 (OfNat.mk.{u1} R 1 (One.one.{u1} R (AddMonoidWithOne.toOne.{u1} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} R (NonAssocSemiring.toAddCommMonoidWithOne.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))))))))
+but is expected to have type
+  forall {R : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u3} R] {α : Type.{u2}} (s : Finset.{u2} α) (f : α -> (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (a : R), Eq.{max (succ u3) (succ u1)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u3} σ R _inst_1) a) (FunLike.coe.{max (succ u1) (succ u3), succ u3, max (succ u1) (succ u3)} (LinearMap.{u3, u3, u3, max u3 u1} R R (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) R (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (MvPolynomial.module.{u3, u3, u1} R R σ (CommSemiring.toSemiring.{u3} R _inst_1) _inst_1 (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u3} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u3, u3, u3, max u1 u3} R R R (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (MvPolynomial.module.{u3, u3, u1} R R σ (CommSemiring.toSemiring.{u3} R _inst_1) _inst_1 (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (MvPolynomial.monomial.{u3, u1} R σ _inst_1 (Finset.sum.{u1, u2} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) α (Finsupp.addCommMonoid.{u1, 0} σ Nat Nat.addCommMonoid) s (fun (i : α) => f i))) a) (HMul.hMul.{max u3 u1, max u1 u3, max u3 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u3} σ R _inst_1) a) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u3} σ R _inst_1) (OfNat.ofNat.{u3} R 1 (One.toOfNat1.{u3} R (Semiring.toOne.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))))) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u3} σ R _inst_1) a) (instHMul.{max u3 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u3} σ R _inst_1) a) (NonUnitalNonAssocSemiring.toMul.{max u3 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u3} σ R _inst_1) a) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u3} σ R _inst_1) a) (Semiring.toNonAssocSemiring.{max u3 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u3} σ R _inst_1) a) (CommSemiring.toSemiring.{max u3 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u3} σ R _inst_1) a) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))))) (FunLike.coe.{max (succ u1) (succ u3), succ u3, max (succ u1) (succ u3)} (RingHom.{u3, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u3} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u3, u3, max u1 u3} (RingHom.{u3, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u3, u3, max u1 u3} (RingHom.{u3, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u3, u3, max u1 u3} (RingHom.{u3, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))))) (MvPolynomial.C.{u3, u1} R σ _inst_1) a) (Finset.prod.{max u1 u3, u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u3} σ R _inst_1) (OfNat.ofNat.{u3} R 1 (One.toOfNat1.{u3} R (Semiring.toOne.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))))) α (CommSemiring.toCommMonoid.{max u1 u3} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u3} σ R _inst_1) (OfNat.ofNat.{u3} R 1 (One.toOfNat1.{u3} R (Semiring.toOne.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))))) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) s (fun (i : α) => FunLike.coe.{max (succ u1) (succ u3), succ u3, max (succ u1) (succ u3)} (LinearMap.{u3, u3, u3, max u3 u1} R R (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) R (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (MvPolynomial.module.{u3, u3, u1} R R σ (CommSemiring.toSemiring.{u3} R _inst_1) _inst_1 (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u3} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u3, u3, u3, max u1 u3} R R R (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (MvPolynomial.module.{u3, u3, u1} R R σ (CommSemiring.toSemiring.{u3} R _inst_1) _inst_1 (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (MvPolynomial.monomial.{u3, u1} R σ _inst_1 (f i)) (OfNat.ofNat.{u3} R 1 (One.toOfNat1.{u3} R (Semiring.toOne.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))))))
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.monomial_sum_index MvPolynomial.monomial_sum_indexₓ'. -/
 theorem monomial_sum_index {α : Type _} (s : Finset α) (f : α → σ →₀ ℕ) (a : R) :
-    monomial (∑ i in s, f i) a = c a * ∏ i in s, monomial (f i) 1 := by
+    monomial (∑ i in s, f i) a = C a * ∏ i in s, monomial (f i) 1 := by
   rw [← monomial_sum_one, C_mul', ← (monomial _).map_smul, smul_eq_mul, mul_one]
 #align mv_polynomial.monomial_sum_index MvPolynomial.monomial_sum_index
 
+/- warning: mv_polynomial.monomial_finsupp_sum_index -> MvPolynomial.monomial_finsupp_sum_index is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {α : Type.{u3}} {β : Type.{u4}} [_inst_3 : Zero.{u4} β] (f : Finsupp.{u3, u4} α β _inst_3) (g : α -> β -> (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (a : R), Eq.{max (succ u2) (succ u1)} (MvPolynomial.{u2, u1} σ R _inst_1) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 (Finsupp.sum.{u3, u4, u2} α β (Finsupp.{u2, 0} σ Nat Nat.hasZero) _inst_3 (Finsupp.addCommMonoid.{u2, 0} σ Nat Nat.addCommMonoid) f g)) a) (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Distrib.toHasMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (fun (_x : RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (MvPolynomial.C.{u1, u2} R σ _inst_1) a) (Finsupp.prod.{u3, u4, max u2 u1} α β (MvPolynomial.{u2, u1} σ R _inst_1) _inst_3 (CommSemiring.toCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) f (fun (a : α) (b : β) => coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 (g a b)) (OfNat.ofNat.{u1} R 1 (OfNat.mk.{u1} R 1 (One.one.{u1} R (AddMonoidWithOne.toOne.{u1} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} R (NonAssocSemiring.toAddCommMonoidWithOne.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))))))))
+but is expected to have type
+  forall {R : Type.{u4}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u4} R] {α : Type.{u3}} {β : Type.{u2}} [_inst_3 : Zero.{u2} β] (f : Finsupp.{u3, u2} α β _inst_3) (g : α -> β -> (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (a : R), Eq.{max (succ u4) (succ u1)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u4} σ R _inst_1) a) (FunLike.coe.{max (succ u1) (succ u4), succ u4, max (succ u1) (succ u4)} (LinearMap.{u4, u4, u4, max u4 u1} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) R (MvPolynomial.{u1, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u1} R σ _inst_1))))) (Semiring.toModule.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (MvPolynomial.module.{u4, u4, u1} R R σ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_1 (Semiring.toModule.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u4} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u4, u4, u4, max u1 u4} R R R (MvPolynomial.{u1, u4} σ R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u1} R σ _inst_1))))) (Semiring.toModule.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (MvPolynomial.module.{u4, u4, u1} R R σ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_1 (Semiring.toModule.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (MvPolynomial.monomial.{u4, u1} R σ _inst_1 (Finsupp.sum.{u3, u2, u1} α β (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) _inst_3 (Finsupp.addCommMonoid.{u1, 0} σ Nat Nat.addCommMonoid) f g)) a) (HMul.hMul.{max u4 u1, max u1 u4, max u4 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u4} σ R _inst_1) a) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u4} σ R _inst_1) (OfNat.ofNat.{u4} R 1 (One.toOfNat1.{u4} R (Semiring.toOne.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))))) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u4} σ R _inst_1) a) (instHMul.{max u4 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u4} σ R _inst_1) a) (NonUnitalNonAssocSemiring.toMul.{max u4 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u4} σ R _inst_1) a) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u4} σ R _inst_1) a) (Semiring.toNonAssocSemiring.{max u4 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u4} σ R _inst_1) a) (CommSemiring.toSemiring.{max u4 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u4} σ R _inst_1) a) (MvPolynomial.commSemiring.{u4, u1} R σ _inst_1)))))) (FunLike.coe.{max (succ u1) (succ u4), succ u4, max (succ u1) (succ u4)} (RingHom.{u4, max u4 u1} R (MvPolynomial.{u1, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u4} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u4, u4, max u1 u4} (RingHom.{u4, max u4 u1} R (MvPolynomial.{u1, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u4} (MvPolynomial.{u1, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u4} (MvPolynomial.{u1, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u4, u4, max u1 u4} (RingHom.{u4, max u4 u1} R (MvPolynomial.{u1, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u4} (MvPolynomial.{u1, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u4, u4, max u1 u4} (RingHom.{u4, max u4 u1} R (MvPolynomial.{u1, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u4, max u1 u4} R (MvPolynomial.{u1, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u1} R σ _inst_1))))))) (MvPolynomial.C.{u4, u1} R σ _inst_1) a) (Finsupp.prod.{u3, u2, max u1 u4} α β ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u4} σ R _inst_1) (OfNat.ofNat.{u4} R 1 (One.toOfNat1.{u4} R (Semiring.toOne.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))))) _inst_3 (CommSemiring.toCommMonoid.{max u1 u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u4} σ R _inst_1) (OfNat.ofNat.{u4} R 1 (One.toOfNat1.{u4} R (Semiring.toOne.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))))) (MvPolynomial.commSemiring.{u4, u1} R σ _inst_1)) f (fun (a : α) (b : β) => FunLike.coe.{max (succ u1) (succ u4), succ u4, max (succ u1) (succ u4)} (LinearMap.{u4, u4, u4, max u4 u1} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) R (MvPolynomial.{u1, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u1} R σ _inst_1))))) (Semiring.toModule.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (MvPolynomial.module.{u4, u4, u1} R R σ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_1 (Semiring.toModule.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u4} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u4, u4, u4, max u1 u4} R R R (MvPolynomial.{u1, u4} σ R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u1} R σ _inst_1))))) (Semiring.toModule.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (MvPolynomial.module.{u4, u4, u1} R R σ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_1 (Semiring.toModule.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (MvPolynomial.monomial.{u4, u1} R σ _inst_1 (g a b)) (OfNat.ofNat.{u4} R 1 (One.toOfNat1.{u4} R (Semiring.toOne.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))))))
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.monomial_finsupp_sum_index MvPolynomial.monomial_finsupp_sum_indexₓ'. -/
 theorem monomial_finsupp_sum_index {α β : Type _} [Zero β] (f : α →₀ β) (g : α → β → σ →₀ ℕ)
-    (a : R) : monomial (f.Sum g) a = c a * f.Prod fun a b => monomial (g a b) 1 :=
+    (a : R) : monomial (f.Sum g) a = C a * f.Prod fun a b => monomial (g a b) 1 :=
   monomial_sum_index _ _ _
 #align mv_polynomial.monomial_finsupp_sum_index MvPolynomial.monomial_finsupp_sum_index
 
+/- warning: mv_polynomial.monomial_eq_monomial_iff -> MvPolynomial.monomial_eq_monomial_iff is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} [_inst_1 : CommSemiring.{u1} R] {α : Type.{u2}} (a₁ : Finsupp.{u2, 0} α Nat Nat.hasZero) (a₂ : Finsupp.{u2, 0} α Nat Nat.hasZero) (b₁ : R) (b₂ : R), Iff (Eq.{max (succ u2) (succ u1)} (MvPolynomial.{u2, u1} α R _inst_1) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} α R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} α R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} α R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} α R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} α R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R α _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R α (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} α R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} α R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} α R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} α R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} α R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R α _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R α (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} α R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} α R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} α R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} α R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} α R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} α R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R α _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R α (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R α _inst_1 a₁) b₁) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} α R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} α R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} α R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} α R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} α R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R α _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R α (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} α R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} α R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} α R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} α R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} α R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R α _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R α (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} α R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} α R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} α R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} α R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} α R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} α R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R α _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R α (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R α _inst_1 a₂) b₂)) (Or (And (Eq.{succ u2} (Finsupp.{u2, 0} α Nat Nat.hasZero) a₁ a₂) (Eq.{succ u1} R b₁ b₂)) (And (Eq.{succ u1} R b₁ (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))))))) (Eq.{succ u1} R b₂ (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))))))))
+but is expected to have type
+  forall {R : Type.{u2}} [_inst_1 : CommSemiring.{u2} R] {α : Type.{u1}} (a₁ : Finsupp.{u1, 0} α Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (a₂ : Finsupp.{u1, 0} α Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (b₁ : R) (b₂ : R), Iff (Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} α R _inst_1) b₁) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} α R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} α R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} α R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} α R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} α R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R α _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R α (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} α R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} α R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} α R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} α R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} α R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} α R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R α _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R α (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R α _inst_1 a₁) b₁) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} α R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} α R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} α R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} α R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} α R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R α _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R α (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} α R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} α R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} α R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} α R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} α R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} α R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R α _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R α (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R α _inst_1 a₂) b₂)) (Or (And (Eq.{succ u1} (Finsupp.{u1, 0} α Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) a₁ a₂) (Eq.{succ u2} R b₁ b₂)) (And (Eq.{succ u2} R b₁ (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))))) (Eq.{succ u2} R b₂ (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1)))))))
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.monomial_eq_monomial_iff MvPolynomial.monomial_eq_monomial_iffₓ'. -/
 theorem monomial_eq_monomial_iff {α : Type _} (a₁ a₂ : α →₀ ℕ) (b₁ b₂ : R) :
     monomial a₁ b₁ = monomial a₂ b₂ ↔ a₁ = a₂ ∧ b₁ = b₂ ∨ b₁ = 0 ∧ b₂ = 0 :=
   Finsupp.single_eq_single_iff _ _ _ _
 #align mv_polynomial.monomial_eq_monomial_iff MvPolynomial.monomial_eq_monomial_iff
 
-theorem monomial_eq : monomial s a = c a * (s.Prod fun n e => x n ^ e : MvPolynomial σ R) := by
+/- warning: mv_polynomial.monomial_eq -> MvPolynomial.monomial_eq is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {σ : Type.{u2}} {a : R} {s : Finsupp.{u2, 0} σ Nat Nat.hasZero} [_inst_1 : CommSemiring.{u1} R], Eq.{max (succ u2) (succ u1)} (MvPolynomial.{u2, u1} σ R _inst_1) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 s) a) (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Distrib.toHasMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (fun (_x : RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (MvPolynomial.C.{u1, u2} R σ _inst_1) a) (Finsupp.prod.{u2, 0, max u2 u1} σ Nat (MvPolynomial.{u2, u1} σ R _inst_1) Nat.hasZero (CommSemiring.toCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) s (fun (n : σ) (e : Nat) => HPow.hPow.{max u2 u1, 0, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) Nat (MvPolynomial.{u2, u1} σ R _inst_1) (instHPow.{max u2 u1, 0} (MvPolynomial.{u2, u1} σ R _inst_1) Nat (Monoid.Pow.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MonoidWithZero.toMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toMonoidWithZero.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))))) (MvPolynomial.X.{u1, u2} R σ _inst_1 n) e)))
+but is expected to have type
+  forall {R : Type.{u2}} {σ : Type.{u1}} {a : R} {s : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)} [_inst_1 : CommSemiring.{u2} R], Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s) a) (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (MvPolynomial.{u1, u2} σ R _inst_1) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (instHMul.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (Semiring.toNonAssocSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (CommSemiring.toSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) a) (Finsupp.prod.{u1, 0, max u2 u1} σ Nat (MvPolynomial.{u1, u2} σ R _inst_1) (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) (CommSemiring.toCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) s (fun (n : σ) (e : Nat) => HPow.hPow.{max u1 u2, 0, max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) Nat (MvPolynomial.{u1, u2} σ R _inst_1) (instHPow.{max u1 u2, 0} (MvPolynomial.{u1, u2} σ R _inst_1) Nat (Monoid.Pow.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MonoidWithZero.toMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toMonoidWithZero.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (MvPolynomial.X.{u2, u1} R σ _inst_1 n) e)))
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.monomial_eq MvPolynomial.monomial_eqₓ'. -/
+theorem monomial_eq : monomial s a = C a * (s.Prod fun n e => X n ^ e : MvPolynomial σ R) := by
   simp only [X_pow_eq_monomial, ← monomial_finsupp_sum_index, Finsupp.sum_single]
 #align mv_polynomial.monomial_eq MvPolynomial.monomial_eq
 
-theorem induction_on_monomial {M : MvPolynomial σ R → Prop} (h_C : ∀ a, M (c a))
-    (h_X : ∀ p n, M p → M (p * x n)) : ∀ s a, M (monomial s a) :=
+/- warning: mv_polynomial.induction_on_monomial -> MvPolynomial.induction_on_monomial is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {M : (MvPolynomial.{u2, u1} σ R _inst_1) -> Prop}, (forall (a : R), M (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (fun (_x : RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (MvPolynomial.C.{u1, u2} R σ _inst_1) a)) -> (forall (p : MvPolynomial.{u2, u1} σ R _inst_1) (n : σ), (M p) -> (M (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Distrib.toHasMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))) p (MvPolynomial.X.{u1, u2} R σ _inst_1 n)))) -> (forall (s : Finsupp.{u2, 0} σ Nat Nat.hasZero) (a : R), M (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 s) a))
+but is expected to have type
+  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] {M : (MvPolynomial.{u1, u2} σ R _inst_1) -> Prop}, (forall (a : R), M (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) a)) -> (forall (p : MvPolynomial.{u1, u2} σ R _inst_1) (n : σ), (M p) -> (M (HMul.hMul.{max u2 u1, max u1 u2, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) p (MvPolynomial.X.{u2, u1} R σ _inst_1 n)))) -> (forall (s : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (a : R), M (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s) a))
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.induction_on_monomial MvPolynomial.induction_on_monomialₓ'. -/
+theorem induction_on_monomial {M : MvPolynomial σ R → Prop} (h_C : ∀ a, M (C a))
+    (h_X : ∀ p n, M p → M (p * X n)) : ∀ s a, M (monomial s a) :=
   by
   intro s a
   apply @Finsupp.induction σ ℕ _ _ s
@@ -388,6 +652,12 @@ theorem induction_on_monomial {M : MvPolynomial σ R → Prop} (h_C : ∀ a, M (
     simp [add_comm, monomial_add_single, this]
 #align mv_polynomial.induction_on_monomial MvPolynomial.induction_on_monomial
 
+/- warning: mv_polynomial.induction_on' -> MvPolynomial.induction_on' is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {P : (MvPolynomial.{u2, u1} σ R _inst_1) -> Prop} (p : MvPolynomial.{u2, u1} σ R _inst_1), (forall (u : Finsupp.{u2, 0} σ Nat Nat.hasZero) (a : R), P (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 u) a)) -> (forall (p : MvPolynomial.{u2, u1} σ R _inst_1) (q : MvPolynomial.{u2, u1} σ R _inst_1), (P p) -> (P q) -> (P (HAdd.hAdd.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (instHAdd.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Distrib.toHasAdd.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))) p q))) -> (P p)
+but is expected to have type
+  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] {P : (MvPolynomial.{u1, u2} σ R _inst_1) -> Prop} (p : MvPolynomial.{u1, u2} σ R _inst_1), (forall (u : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (a : R), P (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 u) a)) -> (forall (p : MvPolynomial.{u1, u2} σ R _inst_1) (q : MvPolynomial.{u1, u2} σ R _inst_1), (P p) -> (P q) -> (P (HAdd.hAdd.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (instHAdd.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Distrib.toAdd.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) p q))) -> (P p)
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.induction_on' MvPolynomial.induction_on'ₓ'. -/
 /-- Analog of `polynomial.induction_on'`.
 To prove something about mv_polynomials,
 it suffices to show the condition is closed under taking sums,
@@ -402,79 +672,145 @@ theorem induction_on' {P : MvPolynomial σ R → Prop} (p : MvPolynomial σ R)
     fun a b f ha hb hPf => h2 _ _ (h1 _ _) hPf
 #align mv_polynomial.induction_on' MvPolynomial.induction_on'
 
+/- warning: mv_polynomial.induction_on''' -> MvPolynomial.induction_on''' is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {M : (MvPolynomial.{u2, u1} σ R _inst_1) -> Prop} (p : MvPolynomial.{u2, u1} σ R _inst_1), (forall (a : R), M (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (fun (_x : RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (MvPolynomial.C.{u1, u2} R σ _inst_1) a)) -> (forall (a : Finsupp.{u2, 0} σ Nat Nat.hasZero) (b : R) (f : Finsupp.{u2, u1} (Finsupp.{u2, 0} σ Nat Nat.hasZero) R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))), (Not (Membership.Mem.{u2, u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finset.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (Finset.hasMem.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) a (Finsupp.support.{u2, u1} (Finsupp.{u2, 0} σ Nat Nat.hasZero) R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) f))) -> (Ne.{succ u1} R b (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))))))) -> (M f) -> (M (HAdd.hAdd.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (instHAdd.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Distrib.toHasAdd.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 a) b) f))) -> (M p)
+but is expected to have type
+  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] {M : (MvPolynomial.{u1, u2} σ R _inst_1) -> Prop} (p : MvPolynomial.{u1, u2} σ R _inst_1), (forall (a : R), M (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) a)) -> (forall (a : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (b : R) (f : Finsupp.{u1, u2} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))), (Not (Membership.mem.{u1, u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (Finset.instMembershipFinset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) a (Finsupp.support.{u1, u2} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1)) f))) -> (Ne.{succ u2} R b (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))))) -> (M f) -> (M (HAdd.hAdd.{max u2 u1, max u2 u1, max u2 u1} (Finsupp.{u1, u2} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))) (Finsupp.{u1, u2} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))) (Finsupp.{u1, u2} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))) (instHAdd.{max u2 u1} (Finsupp.{u1, u2} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))) (Finsupp.add.{u1, u2} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (AddMonoid.toAddZeroClass.{u2} R (AddMonoidWithOne.toAddMonoid.{u2} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u2} R (NonAssocSemiring.toAddCommMonoidWithOne.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))))))) ([mdata let_fun:1 (fun (this : Finsupp.{u1, u2} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))) => this) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (a : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 a) b)]) f))) -> (M p)
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.induction_on''' MvPolynomial.induction_on'''ₓ'. -/
 /-- Similar to `mv_polynomial.induction_on` but only a weak form of `h_add` is required.-/
-theorem induction_on''' {M : MvPolynomial σ R → Prop} (p : MvPolynomial σ R) (h_C : ∀ a, M (c a))
+theorem induction_on''' {M : MvPolynomial σ R → Prop} (p : MvPolynomial σ R) (h_C : ∀ a, M (C a))
     (h_add_weak :
       ∀ (a : σ →₀ ℕ) (b : R) (f : (σ →₀ ℕ) →₀ R),
         a ∉ f.support → b ≠ 0 → M f → M (monomial a b + f)) :
     M p :=
-  Finsupp.induction p (c_0.rec <| h_C 0) h_add_weak
+  Finsupp.induction p (C_0.rec <| h_C 0) h_add_weak
 #align mv_polynomial.induction_on''' MvPolynomial.induction_on'''
 
+/- warning: mv_polynomial.induction_on'' -> MvPolynomial.induction_on'' is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {M : (MvPolynomial.{u2, u1} σ R _inst_1) -> Prop} (p : MvPolynomial.{u2, u1} σ R _inst_1), (forall (a : R), M (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (fun (_x : RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (MvPolynomial.C.{u1, u2} R σ _inst_1) a)) -> (forall (a : Finsupp.{u2, 0} σ Nat Nat.hasZero) (b : R) (f : Finsupp.{u2, u1} (Finsupp.{u2, 0} σ Nat Nat.hasZero) R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))), (Not (Membership.Mem.{u2, u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finset.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (Finset.hasMem.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) a (Finsupp.support.{u2, u1} (Finsupp.{u2, 0} σ Nat Nat.hasZero) R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) f))) -> (Ne.{succ u1} R b (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))))))) -> (M f) -> (M (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 a) b)) -> (M (HAdd.hAdd.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (instHAdd.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Distrib.toHasAdd.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 a) b) f))) -> (forall (p : MvPolynomial.{u2, u1} σ R _inst_1) (n : σ), (M p) -> (M (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Distrib.toHasMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))) p (MvPolynomial.X.{u1, u2} R σ _inst_1 n)))) -> (M p)
+but is expected to have type
+  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] {M : (MvPolynomial.{u1, u2} σ R _inst_1) -> Prop} (p : MvPolynomial.{u1, u2} σ R _inst_1), (forall (a : R), M (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) a)) -> (forall (a : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (b : R) (f : Finsupp.{u1, u2} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))), (Not (Membership.mem.{u1, u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (Finset.instMembershipFinset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) a (Finsupp.support.{u1, u2} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1)) f))) -> (Ne.{succ u2} R b (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))))) -> (M f) -> (M (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 a) b)) -> (M (HAdd.hAdd.{max u2 u1, max u2 u1, max u2 u1} (Finsupp.{u1, u2} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))) (Finsupp.{u1, u2} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))) (Finsupp.{u1, u2} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))) (instHAdd.{max u2 u1} (Finsupp.{u1, u2} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))) (Finsupp.add.{u1, u2} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (AddMonoid.toAddZeroClass.{u2} R (AddMonoidWithOne.toAddMonoid.{u2} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u2} R (NonAssocSemiring.toAddCommMonoidWithOne.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))))))) ([mdata let_fun:1 (fun (this : Finsupp.{u1, u2} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))) => this) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (a : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 a) b)]) f))) -> (forall (p : MvPolynomial.{u1, u2} σ R _inst_1) (n : σ), (M p) -> (M (HMul.hMul.{max u2 u1, max u1 u2, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) p (MvPolynomial.X.{u2, u1} R σ _inst_1 n)))) -> (M p)
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.induction_on'' MvPolynomial.induction_on''ₓ'. -/
 /-- Similar to `mv_polynomial.induction_on` but only a yet weaker form of `h_add` is required.-/
-theorem induction_on'' {M : MvPolynomial σ R → Prop} (p : MvPolynomial σ R) (h_C : ∀ a, M (c a))
+theorem induction_on'' {M : MvPolynomial σ R → Prop} (p : MvPolynomial σ R) (h_C : ∀ a, M (C a))
     (h_add_weak :
       ∀ (a : σ →₀ ℕ) (b : R) (f : (σ →₀ ℕ) →₀ R),
         a ∉ f.support → b ≠ 0 → M f → M (monomial a b) → M (monomial a b + f))
-    (h_X : ∀ (p : MvPolynomial σ R) (n : σ), M p → M (p * MvPolynomial.x n)) : M p :=
+    (h_X : ∀ (p : MvPolynomial σ R) (n : σ), M p → M (p * MvPolynomial.X n)) : M p :=
   induction_on''' p h_C fun a b f ha hb hf =>
     h_add_weak a b f ha hb hf <| induction_on_monomial h_C h_X a b
 #align mv_polynomial.induction_on'' MvPolynomial.induction_on''
 
+/- warning: mv_polynomial.induction_on -> MvPolynomial.induction_on is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {M : (MvPolynomial.{u2, u1} σ R _inst_1) -> Prop} (p : MvPolynomial.{u2, u1} σ R _inst_1), (forall (a : R), M (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (fun (_x : RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (MvPolynomial.C.{u1, u2} R σ _inst_1) a)) -> (forall (p : MvPolynomial.{u2, u1} σ R _inst_1) (q : MvPolynomial.{u2, u1} σ R _inst_1), (M p) -> (M q) -> (M (HAdd.hAdd.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (instHAdd.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Distrib.toHasAdd.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))) p q))) -> (forall (p : MvPolynomial.{u2, u1} σ R _inst_1) (n : σ), (M p) -> (M (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Distrib.toHasMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))) p (MvPolynomial.X.{u1, u2} R σ _inst_1 n)))) -> (M p)
+but is expected to have type
+  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] {M : (MvPolynomial.{u1, u2} σ R _inst_1) -> Prop} (p : MvPolynomial.{u1, u2} σ R _inst_1), (forall (a : R), M (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) a)) -> (forall (p : MvPolynomial.{u1, u2} σ R _inst_1) (q : MvPolynomial.{u1, u2} σ R _inst_1), (M p) -> (M q) -> (M (HAdd.hAdd.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (instHAdd.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Distrib.toAdd.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) p q))) -> (forall (p : MvPolynomial.{u1, u2} σ R _inst_1) (n : σ), (M p) -> (M (HMul.hMul.{max u2 u1, max u1 u2, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) p (MvPolynomial.X.{u2, u1} R σ _inst_1 n)))) -> (M p)
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.induction_on MvPolynomial.induction_onₓ'. -/
 /-- Analog of `polynomial.induction_on`.-/
 @[recursor 5]
-theorem induction_on {M : MvPolynomial σ R → Prop} (p : MvPolynomial σ R) (h_C : ∀ a, M (c a))
-    (h_add : ∀ p q, M p → M q → M (p + q)) (h_X : ∀ p n, M p → M (p * x n)) : M p :=
+theorem induction_on {M : MvPolynomial σ R → Prop} (p : MvPolynomial σ R) (h_C : ∀ a, M (C a))
+    (h_add : ∀ p q, M p → M q → M (p + q)) (h_X : ∀ p n, M p → M (p * X n)) : M p :=
   induction_on'' p h_C (fun a b f ha hb hf hm => h_add (monomial a b) f hm hf) h_X
 #align mv_polynomial.induction_on MvPolynomial.induction_on
 
+/- warning: mv_polynomial.ring_hom_ext -> MvPolynomial.ringHom_ext is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {A : Type.{u3}} [_inst_3 : Semiring.{u3} A] {f : RingHom.{max u2 u1, u3} (MvPolynomial.{u2, u1} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} A _inst_3)} {g : RingHom.{max u2 u1, u3} (MvPolynomial.{u2, u1} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} A _inst_3)}, (forall (r : R), Eq.{succ u3} A (coeFn.{max (succ (max u2 u1)) (succ u3), max (succ (max u2 u1)) (succ u3)} (RingHom.{max u2 u1, u3} (MvPolynomial.{u2, u1} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} A _inst_3)) (fun (_x : RingHom.{max u2 u1, u3} (MvPolynomial.{u2, u1} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} A _inst_3)) => (MvPolynomial.{u2, u1} σ R _inst_1) -> A) (RingHom.hasCoeToFun.{max u2 u1, u3} (MvPolynomial.{u2, u1} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} A _inst_3)) f (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (fun (_x : RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (MvPolynomial.C.{u1, u2} R σ _inst_1) r)) (coeFn.{max (succ (max u2 u1)) (succ u3), max (succ (max u2 u1)) (succ u3)} (RingHom.{max u2 u1, u3} (MvPolynomial.{u2, u1} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} A _inst_3)) (fun (_x : RingHom.{max u2 u1, u3} (MvPolynomial.{u2, u1} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} A _inst_3)) => (MvPolynomial.{u2, u1} σ R _inst_1) -> A) (RingHom.hasCoeToFun.{max u2 u1, u3} (MvPolynomial.{u2, u1} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} A _inst_3)) g (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (fun (_x : RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (MvPolynomial.C.{u1, u2} R σ _inst_1) r))) -> (forall (i : σ), Eq.{succ u3} A (coeFn.{max (succ (max u2 u1)) (succ u3), max (succ (max u2 u1)) (succ u3)} (RingHom.{max u2 u1, u3} (MvPolynomial.{u2, u1} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} A _inst_3)) (fun (_x : RingHom.{max u2 u1, u3} (MvPolynomial.{u2, u1} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} A _inst_3)) => (MvPolynomial.{u2, u1} σ R _inst_1) -> A) (RingHom.hasCoeToFun.{max u2 u1, u3} (MvPolynomial.{u2, u1} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} A _inst_3)) f (MvPolynomial.X.{u1, u2} R σ _inst_1 i)) (coeFn.{max (succ (max u2 u1)) (succ u3), max (succ (max u2 u1)) (succ u3)} (RingHom.{max u2 u1, u3} (MvPolynomial.{u2, u1} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} A _inst_3)) (fun (_x : RingHom.{max u2 u1, u3} (MvPolynomial.{u2, u1} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} A _inst_3)) => (MvPolynomial.{u2, u1} σ R _inst_1) -> A) (RingHom.hasCoeToFun.{max u2 u1, u3} (MvPolynomial.{u2, u1} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} A _inst_3)) g (MvPolynomial.X.{u1, u2} R σ _inst_1 i))) -> (Eq.{max (succ (max u2 u1)) (succ u3)} (RingHom.{max u2 u1, u3} (MvPolynomial.{u2, u1} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} A _inst_3)) f g)
+but is expected to have type
+  forall {R : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u3} R] {A : Type.{u2}} [_inst_3 : Semiring.{u2} A] {f : RingHom.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} A _inst_3)} {g : RingHom.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} A _inst_3)}, (forall (r : R), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u3} σ R _inst_1) => A) (FunLike.coe.{max (succ u1) (succ u3), succ u3, max (succ u1) (succ u3)} (RingHom.{u3, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) R (fun (a : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u3} σ R _inst_1) a) (MulHomClass.toFunLike.{max u1 u3, u3, max u1 u3} (RingHom.{u3, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u3, u3, max u1 u3} (RingHom.{u3, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u3, u3, max u1 u3} (RingHom.{u3, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))))) (MvPolynomial.C.{u3, u1} R σ _inst_1) r)) (FunLike.coe.{max (max (succ u3) (succ u1)) (succ u2), max (succ u3) (succ u1), succ u2} (RingHom.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (MvPolynomial.{u1, u3} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u3} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u3} σ R _inst_1) => A) _x) (MulHomClass.toFunLike.{max (max u3 u1) u2, max u3 u1, u2} (RingHom.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (MvPolynomial.{u1, u3} σ R _inst_1) A (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (NonUnitalRingHomClass.toMulHomClass.{max (max u3 u1) u2, max u3 u1, u2} (RingHom.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (MvPolynomial.{u1, u3} σ R _inst_1) A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (RingHomClass.toNonUnitalRingHomClass.{max (max u3 u1) u2, max u3 u1, u2} (RingHom.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (MvPolynomial.{u1, u3} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} A _inst_3) (RingHom.instRingHomClassRingHom.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} A _inst_3))))) f (FunLike.coe.{max (succ u1) (succ u3), succ u3, max (succ u1) (succ u3)} (RingHom.{u3, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u3} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u3, u3, max u1 u3} (RingHom.{u3, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u3, u3, max u1 u3} (RingHom.{u3, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u3, u3, max u1 u3} (RingHom.{u3, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))))) (MvPolynomial.C.{u3, u1} R σ _inst_1) r)) (FunLike.coe.{max (max (succ u3) (succ u1)) (succ u2), max (succ u3) (succ u1), succ u2} (RingHom.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (MvPolynomial.{u1, u3} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u3} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u3} σ R _inst_1) => A) _x) (MulHomClass.toFunLike.{max (max u3 u1) u2, max u3 u1, u2} (RingHom.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (MvPolynomial.{u1, u3} σ R _inst_1) A (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (NonUnitalRingHomClass.toMulHomClass.{max (max u3 u1) u2, max u3 u1, u2} (RingHom.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (MvPolynomial.{u1, u3} σ R _inst_1) A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (RingHomClass.toNonUnitalRingHomClass.{max (max u3 u1) u2, max u3 u1, u2} (RingHom.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (MvPolynomial.{u1, u3} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} A _inst_3) (RingHom.instRingHomClassRingHom.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} A _inst_3))))) g (FunLike.coe.{max (succ u1) (succ u3), succ u3, max (succ u1) (succ u3)} (RingHom.{u3, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u3} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u3, u3, max u1 u3} (RingHom.{u3, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u3, u3, max u1 u3} (RingHom.{u3, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u3, u3, max u1 u3} (RingHom.{u3, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))))) (MvPolynomial.C.{u3, u1} R σ _inst_1) r))) -> (forall (i : σ), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u3} σ R _inst_1) => A) (MvPolynomial.X.{u3, u1} R σ _inst_1 i)) (FunLike.coe.{max (max (succ u3) (succ u1)) (succ u2), max (succ u3) (succ u1), succ u2} (RingHom.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (MvPolynomial.{u1, u3} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u3} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u3} σ R _inst_1) => A) _x) (MulHomClass.toFunLike.{max (max u3 u1) u2, max u3 u1, u2} (RingHom.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (MvPolynomial.{u1, u3} σ R _inst_1) A (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (NonUnitalRingHomClass.toMulHomClass.{max (max u3 u1) u2, max u3 u1, u2} (RingHom.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (MvPolynomial.{u1, u3} σ R _inst_1) A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (RingHomClass.toNonUnitalRingHomClass.{max (max u3 u1) u2, max u3 u1, u2} (RingHom.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (MvPolynomial.{u1, u3} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} A _inst_3) (RingHom.instRingHomClassRingHom.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} A _inst_3))))) f (MvPolynomial.X.{u3, u1} R σ _inst_1 i)) (FunLike.coe.{max (max (succ u3) (succ u1)) (succ u2), max (succ u3) (succ u1), succ u2} (RingHom.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (MvPolynomial.{u1, u3} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u3} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u3} σ R _inst_1) => A) _x) (MulHomClass.toFunLike.{max (max u3 u1) u2, max u3 u1, u2} (RingHom.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (MvPolynomial.{u1, u3} σ R _inst_1) A (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (NonUnitalRingHomClass.toMulHomClass.{max (max u3 u1) u2, max u3 u1, u2} (RingHom.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (MvPolynomial.{u1, u3} σ R _inst_1) A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (RingHomClass.toNonUnitalRingHomClass.{max (max u3 u1) u2, max u3 u1, u2} (RingHom.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (MvPolynomial.{u1, u3} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} A _inst_3) (RingHom.instRingHomClassRingHom.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} A _inst_3))))) g (MvPolynomial.X.{u3, u1} R σ _inst_1 i))) -> (Eq.{max (max (succ u3) (succ u1)) (succ u2)} (RingHom.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) f g)
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.ring_hom_ext MvPolynomial.ringHom_extₓ'. -/
 theorem ringHom_ext {A : Type _} [Semiring A] {f g : MvPolynomial σ R →+* A}
-    (hC : ∀ r, f (c r) = g (c r)) (hX : ∀ i, f (x i) = g (x i)) : f = g :=
+    (hC : ∀ r, f (C r) = g (C r)) (hX : ∀ i, f (X i) = g (X i)) : f = g :=
   by
   ext
   exacts[hC _, hX _]
 #align mv_polynomial.ring_hom_ext MvPolynomial.ringHom_ext
 
+/- warning: mv_polynomial.ring_hom_ext' -> MvPolynomial.ringHom_ext' is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {A : Type.{u3}} [_inst_3 : Semiring.{u3} A] {f : RingHom.{max u2 u1, u3} (MvPolynomial.{u2, u1} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} A _inst_3)} {g : RingHom.{max u2 u1, u3} (MvPolynomial.{u2, u1} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} A _inst_3)}, (Eq.{max (succ u1) (succ u3)} (RingHom.{u1, u3} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} A _inst_3)) (RingHom.comp.{u1, max u2 u1, u3} R (MvPolynomial.{u2, u1} σ R _inst_1) A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} A _inst_3) f (MvPolynomial.C.{u1, u2} R σ _inst_1)) (RingHom.comp.{u1, max u2 u1, u3} R (MvPolynomial.{u2, u1} σ R _inst_1) A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} A _inst_3) g (MvPolynomial.C.{u1, u2} R σ _inst_1))) -> (forall (i : σ), Eq.{succ u3} A (coeFn.{max (succ (max u2 u1)) (succ u3), max (succ (max u2 u1)) (succ u3)} (RingHom.{max u2 u1, u3} (MvPolynomial.{u2, u1} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} A _inst_3)) (fun (_x : RingHom.{max u2 u1, u3} (MvPolynomial.{u2, u1} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} A _inst_3)) => (MvPolynomial.{u2, u1} σ R _inst_1) -> A) (RingHom.hasCoeToFun.{max u2 u1, u3} (MvPolynomial.{u2, u1} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} A _inst_3)) f (MvPolynomial.X.{u1, u2} R σ _inst_1 i)) (coeFn.{max (succ (max u2 u1)) (succ u3), max (succ (max u2 u1)) (succ u3)} (RingHom.{max u2 u1, u3} (MvPolynomial.{u2, u1} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} A _inst_3)) (fun (_x : RingHom.{max u2 u1, u3} (MvPolynomial.{u2, u1} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} A _inst_3)) => (MvPolynomial.{u2, u1} σ R _inst_1) -> A) (RingHom.hasCoeToFun.{max u2 u1, u3} (MvPolynomial.{u2, u1} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} A _inst_3)) g (MvPolynomial.X.{u1, u2} R σ _inst_1 i))) -> (Eq.{max (succ (max u2 u1)) (succ u3)} (RingHom.{max u2 u1, u3} (MvPolynomial.{u2, u1} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} A _inst_3)) f g)
+but is expected to have type
+  forall {R : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u3} R] {A : Type.{u2}} [_inst_3 : Semiring.{u2} A] {f : RingHom.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} A _inst_3)} {g : RingHom.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} A _inst_3)}, (Eq.{max (succ u3) (succ u2)} (RingHom.{u3, u2} R A (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (RingHom.comp.{u3, max u3 u1, u2} R (MvPolynomial.{u1, u3} σ R _inst_1) A (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} A _inst_3) f (MvPolynomial.C.{u3, u1} R σ _inst_1)) (RingHom.comp.{u3, max u3 u1, u2} R (MvPolynomial.{u1, u3} σ R _inst_1) A (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} A _inst_3) g (MvPolynomial.C.{u3, u1} R σ _inst_1))) -> (forall (i : σ), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u3} σ R _inst_1) => A) (MvPolynomial.X.{u3, u1} R σ _inst_1 i)) (FunLike.coe.{max (max (succ u3) (succ u1)) (succ u2), max (succ u3) (succ u1), succ u2} (RingHom.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (MvPolynomial.{u1, u3} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u3} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u3} σ R _inst_1) => A) _x) (MulHomClass.toFunLike.{max (max u3 u1) u2, max u3 u1, u2} (RingHom.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (MvPolynomial.{u1, u3} σ R _inst_1) A (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (NonUnitalRingHomClass.toMulHomClass.{max (max u3 u1) u2, max u3 u1, u2} (RingHom.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (MvPolynomial.{u1, u3} σ R _inst_1) A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (RingHomClass.toNonUnitalRingHomClass.{max (max u3 u1) u2, max u3 u1, u2} (RingHom.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (MvPolynomial.{u1, u3} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} A _inst_3) (RingHom.instRingHomClassRingHom.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} A _inst_3))))) f (MvPolynomial.X.{u3, u1} R σ _inst_1 i)) (FunLike.coe.{max (max (succ u3) (succ u1)) (succ u2), max (succ u3) (succ u1), succ u2} (RingHom.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (MvPolynomial.{u1, u3} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u3} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u3} σ R _inst_1) => A) _x) (MulHomClass.toFunLike.{max (max u3 u1) u2, max u3 u1, u2} (RingHom.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (MvPolynomial.{u1, u3} σ R _inst_1) A (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (NonUnitalRingHomClass.toMulHomClass.{max (max u3 u1) u2, max u3 u1, u2} (RingHom.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (MvPolynomial.{u1, u3} σ R _inst_1) A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (RingHomClass.toNonUnitalRingHomClass.{max (max u3 u1) u2, max u3 u1, u2} (RingHom.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (MvPolynomial.{u1, u3} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} A _inst_3) (RingHom.instRingHomClassRingHom.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} A _inst_3))))) g (MvPolynomial.X.{u3, u1} R σ _inst_1 i))) -> (Eq.{max (max (succ u3) (succ u1)) (succ u2)} (RingHom.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) f g)
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.ring_hom_ext' MvPolynomial.ringHom_ext'ₓ'. -/
 /-- See note [partially-applied ext lemmas]. -/
 @[ext]
 theorem ringHom_ext' {A : Type _} [Semiring A] {f g : MvPolynomial σ R →+* A}
-    (hC : f.comp c = g.comp c) (hX : ∀ i, f (x i) = g (x i)) : f = g :=
+    (hC : f.comp C = g.comp C) (hX : ∀ i, f (X i) = g (X i)) : f = g :=
   ringHom_ext (RingHom.ext_iff.1 hC) hX
 #align mv_polynomial.ring_hom_ext' MvPolynomial.ringHom_ext'
 
-theorem hom_eq_hom [Semiring S₂] (f g : MvPolynomial σ R →+* S₂) (hC : f.comp c = g.comp c)
-    (hX : ∀ n : σ, f (x n) = g (x n)) (p : MvPolynomial σ R) : f p = g p :=
+/- warning: mv_polynomial.hom_eq_hom -> MvPolynomial.hom_eq_hom is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {S₂ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_3 : Semiring.{u2} S₂] (f : RingHom.{max u3 u1, u2} (MvPolynomial.{u3, u1} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₂ _inst_3)) (g : RingHom.{max u3 u1, u2} (MvPolynomial.{u3, u1} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₂ _inst_3)), (Eq.{max (succ u1) (succ u2)} (RingHom.{u1, u2} R S₂ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₂ _inst_3)) (RingHom.comp.{u1, max u3 u1, u2} R (MvPolynomial.{u3, u1} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₂ _inst_3) f (MvPolynomial.C.{u1, u3} R σ _inst_1)) (RingHom.comp.{u1, max u3 u1, u2} R (MvPolynomial.{u3, u1} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₂ _inst_3) g (MvPolynomial.C.{u1, u3} R σ _inst_1))) -> (forall (n : σ), Eq.{succ u2} S₂ (coeFn.{max (succ (max u3 u1)) (succ u2), max (succ (max u3 u1)) (succ u2)} (RingHom.{max u3 u1, u2} (MvPolynomial.{u3, u1} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₂ _inst_3)) (fun (_x : RingHom.{max u3 u1, u2} (MvPolynomial.{u3, u1} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₂ _inst_3)) => (MvPolynomial.{u3, u1} σ R _inst_1) -> S₂) (RingHom.hasCoeToFun.{max u3 u1, u2} (MvPolynomial.{u3, u1} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₂ _inst_3)) f (MvPolynomial.X.{u1, u3} R σ _inst_1 n)) (coeFn.{max (succ (max u3 u1)) (succ u2), max (succ (max u3 u1)) (succ u2)} (RingHom.{max u3 u1, u2} (MvPolynomial.{u3, u1} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₂ _inst_3)) (fun (_x : RingHom.{max u3 u1, u2} (MvPolynomial.{u3, u1} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₂ _inst_3)) => (MvPolynomial.{u3, u1} σ R _inst_1) -> S₂) (RingHom.hasCoeToFun.{max u3 u1, u2} (MvPolynomial.{u3, u1} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₂ _inst_3)) g (MvPolynomial.X.{u1, u3} R σ _inst_1 n))) -> (forall (p : MvPolynomial.{u3, u1} σ R _inst_1), Eq.{succ u2} S₂ (coeFn.{max (succ (max u3 u1)) (succ u2), max (succ (max u3 u1)) (succ u2)} (RingHom.{max u3 u1, u2} (MvPolynomial.{u3, u1} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₂ _inst_3)) (fun (_x : RingHom.{max u3 u1, u2} (MvPolynomial.{u3, u1} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₂ _inst_3)) => (MvPolynomial.{u3, u1} σ R _inst_1) -> S₂) (RingHom.hasCoeToFun.{max u3 u1, u2} (MvPolynomial.{u3, u1} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₂ _inst_3)) f p) (coeFn.{max (succ (max u3 u1)) (succ u2), max (succ (max u3 u1)) (succ u2)} (RingHom.{max u3 u1, u2} (MvPolynomial.{u3, u1} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₂ _inst_3)) (fun (_x : RingHom.{max u3 u1, u2} (MvPolynomial.{u3, u1} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₂ _inst_3)) => (MvPolynomial.{u3, u1} σ R _inst_1) -> S₂) (RingHom.hasCoeToFun.{max u3 u1, u2} (MvPolynomial.{u3, u1} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₂ _inst_3)) g p))
+but is expected to have type
+  forall {R : Type.{u2}} {S₂ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_3 : Semiring.{u3} S₂] (f : RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ _inst_3)) (g : RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ _inst_3)), (Eq.{max (succ u2) (succ u3)} (RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ _inst_3)) (RingHom.comp.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ _inst_3) f (MvPolynomial.C.{u2, u1} R σ _inst_1)) (RingHom.comp.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ _inst_3) g (MvPolynomial.C.{u2, u1} R σ _inst_1))) -> (forall (n : σ), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => S₂) (MvPolynomial.X.{u2, u1} R σ _inst_1 n)) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u2) (succ u1), succ u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ _inst_3)) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => S₂) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ _inst_3)) (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u3} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ _inst_3))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ _inst_3)) (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ _inst_3)) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ _inst_3)) (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ _inst_3) (RingHom.instRingHomClassRingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ _inst_3))))) f (MvPolynomial.X.{u2, u1} R σ _inst_1 n)) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u2) (succ u1), succ u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ _inst_3)) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => S₂) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ _inst_3)) (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u3} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ _inst_3))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ _inst_3)) (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ _inst_3)) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ _inst_3)) (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ _inst_3) (RingHom.instRingHomClassRingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ _inst_3))))) g (MvPolynomial.X.{u2, u1} R σ _inst_1 n))) -> (forall (p : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => S₂) p) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u2) (succ u1), succ u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ _inst_3)) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => S₂) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ _inst_3)) (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u3} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ _inst_3))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ _inst_3)) (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ _inst_3)) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ _inst_3)) (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ _inst_3) (RingHom.instRingHomClassRingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ _inst_3))))) f p) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u2) (succ u1), succ u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ _inst_3)) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => S₂) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ _inst_3)) (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u3} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ _inst_3))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ _inst_3)) (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ _inst_3)) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ _inst_3)) (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ _inst_3) (RingHom.instRingHomClassRingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ _inst_3))))) g p))
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.hom_eq_hom MvPolynomial.hom_eq_homₓ'. -/
+theorem hom_eq_hom [Semiring S₂] (f g : MvPolynomial σ R →+* S₂) (hC : f.comp C = g.comp C)
+    (hX : ∀ n : σ, f (X n) = g (X n)) (p : MvPolynomial σ R) : f p = g p :=
   RingHom.congr_fun (ringHom_ext' hC hX) p
 #align mv_polynomial.hom_eq_hom MvPolynomial.hom_eq_hom
 
-theorem is_id (f : MvPolynomial σ R →+* MvPolynomial σ R) (hC : f.comp c = c)
-    (hX : ∀ n : σ, f (x n) = x n) (p : MvPolynomial σ R) : f p = p :=
+/- warning: mv_polynomial.is_id -> MvPolynomial.is_id is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] (f : RingHom.{max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))), (Eq.{max (succ u1) (succ (max u2 u1))} (RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (RingHom.comp.{u1, max u2 u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) f (MvPolynomial.C.{u1, u2} R σ _inst_1)) (MvPolynomial.C.{u1, u2} R σ _inst_1)) -> (forall (n : σ), Eq.{max (succ u2) (succ u1)} (MvPolynomial.{u2, u1} σ R _inst_1) (coeFn.{succ (max u2 u1), succ (max u2 u1)} (RingHom.{max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (fun (_x : RingHom.{max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) => (MvPolynomial.{u2, u1} σ R _inst_1) -> (MvPolynomial.{u2, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) f (MvPolynomial.X.{u1, u2} R σ _inst_1 n)) (MvPolynomial.X.{u1, u2} R σ _inst_1 n)) -> (forall (p : MvPolynomial.{u2, u1} σ R _inst_1), Eq.{max (succ u2) (succ u1)} (MvPolynomial.{u2, u1} σ R _inst_1) (coeFn.{succ (max u2 u1), succ (max u2 u1)} (RingHom.{max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (fun (_x : RingHom.{max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) => (MvPolynomial.{u2, u1} σ R _inst_1) -> (MvPolynomial.{u2, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) f p) p)
+but is expected to have type
+  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] (f : RingHom.{max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))), (Eq.{max (succ u2) (succ u1)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHom.comp.{u2, max u2 u1, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) f (MvPolynomial.C.{u2, u1} R σ _inst_1)) (MvPolynomial.C.{u2, u1} R σ _inst_1)) -> (forall (n : σ), Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.X.{u2, u1} R σ _inst_1 n)) (FunLike.coe.{max (succ u2) (succ u1), max (succ u2) (succ u1), max (succ u2) (succ u1)} (RingHom.{max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u2 u1, max u2 u1, max u2 u1} (RingHom.{max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, max u2 u1, max u2 u1} (RingHom.{max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, max u2 u1, max u2 u1} (RingHom.{max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) f (MvPolynomial.X.{u2, u1} R σ _inst_1 n)) (MvPolynomial.X.{u2, u1} R σ _inst_1 n)) -> (forall (p : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u2} σ R _inst_1) p) (FunLike.coe.{max (succ u2) (succ u1), max (succ u2) (succ u1), max (succ u2) (succ u1)} (RingHom.{max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u2 u1, max u2 u1, max u2 u1} (RingHom.{max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, max u2 u1, max u2 u1} (RingHom.{max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, max u2 u1, max u2 u1} (RingHom.{max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) f p) p)
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.is_id MvPolynomial.is_idₓ'. -/
+theorem is_id (f : MvPolynomial σ R →+* MvPolynomial σ R) (hC : f.comp C = C)
+    (hX : ∀ n : σ, f (X n) = X n) (p : MvPolynomial σ R) : f p = p :=
   hom_eq_hom f (RingHom.id _) hC hX p
 #align mv_polynomial.is_id MvPolynomial.is_id
 
+/- warning: mv_polynomial.alg_hom_ext' -> MvPolynomial.algHom_ext' is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {A : Type.{u3}} {B : Type.{u4}} [_inst_3 : CommSemiring.{u3} A] [_inst_4 : CommSemiring.{u4} B] [_inst_5 : Algebra.{u1, u3} R A _inst_1 (CommSemiring.toSemiring.{u3} A _inst_3)] [_inst_6 : Algebra.{u1, u4} R B _inst_1 (CommSemiring.toSemiring.{u4} B _inst_4)] {f : AlgHom.{u1, max u2 u3, u4} R (MvPolynomial.{u2, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u2} A σ _inst_3)) (CommSemiring.toSemiring.{u4} B _inst_4) (MvPolynomial.algebra.{u1, u3, u2} R A σ _inst_1 _inst_3 _inst_5) _inst_6} {g : AlgHom.{u1, max u2 u3, u4} R (MvPolynomial.{u2, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u2} A σ _inst_3)) (CommSemiring.toSemiring.{u4} B _inst_4) (MvPolynomial.algebra.{u1, u3, u2} R A σ _inst_1 _inst_3 _inst_5) _inst_6}, (Eq.{max (succ u3) (succ u4)} (AlgHom.{u1, u3, u4} R A B _inst_1 (CommSemiring.toSemiring.{u3} A _inst_3) (CommSemiring.toSemiring.{u4} B _inst_4) _inst_5 _inst_6) (AlgHom.comp.{u1, u3, max u2 u3, u4} R A (MvPolynomial.{u2, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{u3} A _inst_3) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u2} A σ _inst_3)) (CommSemiring.toSemiring.{u4} B _inst_4) _inst_5 (MvPolynomial.algebra.{u1, u3, u2} R A σ _inst_1 _inst_3 _inst_5) _inst_6 f (IsScalarTower.toAlgHom.{u1, u3, max u2 u3} R A (MvPolynomial.{u2, u3} σ A _inst_3) _inst_1 _inst_3 (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u2} A σ _inst_3)) _inst_5 (MvPolynomial.algebra.{u3, u3, u2} A A σ _inst_3 _inst_3 (Algebra.id.{u3} A _inst_3)) (MvPolynomial.algebra.{u1, u3, u2} R A σ _inst_1 _inst_3 _inst_5) (MvPolynomial.isScalarTower.{u1, u3, u3, u2} R A A σ (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MonoidWithZero.toMonoid.{u3} A (Semiring.toMonoidWithZero.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3))) _inst_3 (SMulZeroClass.toHasSmul.{u1, u3} R A (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3))))))) (SMulWithZero.toSmulZeroClass.{u1, u3} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3))))))) (MulActionWithZero.toSMulWithZero.{u1, u3} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3))))))) (Module.toMulActionWithZero.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3)))) (Algebra.toModule.{u1, u3} R A _inst_1 (CommSemiring.toSemiring.{u3} A _inst_3) _inst_5))))) (Module.toDistribMulAction.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3)))) (Algebra.toModule.{u1, u3} R A _inst_1 (CommSemiring.toSemiring.{u3} A _inst_3) _inst_5)) (Module.toDistribMulAction.{u3, u3} A A (CommSemiring.toSemiring.{u3} A _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3)))) (Semiring.toModule.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3))) (IsScalarTower.right.{u1, u3} R A _inst_1 (CommSemiring.toSemiring.{u3} A _inst_3) _inst_5)))) (AlgHom.comp.{u1, u3, max u2 u3, u4} R A (MvPolynomial.{u2, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{u3} A _inst_3) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u2} A σ _inst_3)) (CommSemiring.toSemiring.{u4} B _inst_4) _inst_5 (MvPolynomial.algebra.{u1, u3, u2} R A σ _inst_1 _inst_3 _inst_5) _inst_6 g (IsScalarTower.toAlgHom.{u1, u3, max u2 u3} R A (MvPolynomial.{u2, u3} σ A _inst_3) _inst_1 _inst_3 (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u2} A σ _inst_3)) _inst_5 (MvPolynomial.algebra.{u3, u3, u2} A A σ _inst_3 _inst_3 (Algebra.id.{u3} A _inst_3)) (MvPolynomial.algebra.{u1, u3, u2} R A σ _inst_1 _inst_3 _inst_5) (MvPolynomial.isScalarTower.{u1, u3, u3, u2} R A A σ (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MonoidWithZero.toMonoid.{u3} A (Semiring.toMonoidWithZero.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3))) _inst_3 (SMulZeroClass.toHasSmul.{u1, u3} R A (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3))))))) (SMulWithZero.toSmulZeroClass.{u1, u3} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3))))))) (MulActionWithZero.toSMulWithZero.{u1, u3} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3))))))) (Module.toMulActionWithZero.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3)))) (Algebra.toModule.{u1, u3} R A _inst_1 (CommSemiring.toSemiring.{u3} A _inst_3) _inst_5))))) (Module.toDistribMulAction.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3)))) (Algebra.toModule.{u1, u3} R A _inst_1 (CommSemiring.toSemiring.{u3} A _inst_3) _inst_5)) (Module.toDistribMulAction.{u3, u3} A A (CommSemiring.toSemiring.{u3} A _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3)))) (Semiring.toModule.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3))) (IsScalarTower.right.{u1, u3} R A _inst_1 (CommSemiring.toSemiring.{u3} A _inst_3) _inst_5))))) -> (forall (i : σ), Eq.{succ u4} B (coeFn.{max (succ (max u2 u3)) (succ u4), max (succ (max u2 u3)) (succ u4)} (AlgHom.{u1, max u2 u3, u4} R (MvPolynomial.{u2, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u2} A σ _inst_3)) (CommSemiring.toSemiring.{u4} B _inst_4) (MvPolynomial.algebra.{u1, u3, u2} R A σ _inst_1 _inst_3 _inst_5) _inst_6) (fun (_x : AlgHom.{u1, max u2 u3, u4} R (MvPolynomial.{u2, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u2} A σ _inst_3)) (CommSemiring.toSemiring.{u4} B _inst_4) (MvPolynomial.algebra.{u1, u3, u2} R A σ _inst_1 _inst_3 _inst_5) _inst_6) => (MvPolynomial.{u2, u3} σ A _inst_3) -> B) ([anonymous].{u1, max u2 u3, u4} R (MvPolynomial.{u2, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u2} A σ _inst_3)) (CommSemiring.toSemiring.{u4} B _inst_4) (MvPolynomial.algebra.{u1, u3, u2} R A σ _inst_1 _inst_3 _inst_5) _inst_6) f (MvPolynomial.X.{u3, u2} A σ _inst_3 i)) (coeFn.{max (succ (max u2 u3)) (succ u4), max (succ (max u2 u3)) (succ u4)} (AlgHom.{u1, max u2 u3, u4} R (MvPolynomial.{u2, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u2} A σ _inst_3)) (CommSemiring.toSemiring.{u4} B _inst_4) (MvPolynomial.algebra.{u1, u3, u2} R A σ _inst_1 _inst_3 _inst_5) _inst_6) (fun (_x : AlgHom.{u1, max u2 u3, u4} R (MvPolynomial.{u2, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u2} A σ _inst_3)) (CommSemiring.toSemiring.{u4} B _inst_4) (MvPolynomial.algebra.{u1, u3, u2} R A σ _inst_1 _inst_3 _inst_5) _inst_6) => (MvPolynomial.{u2, u3} σ A _inst_3) -> B) ([anonymous].{u1, max u2 u3, u4} R (MvPolynomial.{u2, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u2} A σ _inst_3)) (CommSemiring.toSemiring.{u4} B _inst_4) (MvPolynomial.algebra.{u1, u3, u2} R A σ _inst_1 _inst_3 _inst_5) _inst_6) g (MvPolynomial.X.{u3, u2} A σ _inst_3 i))) -> (Eq.{max (succ (max u2 u3)) (succ u4)} (AlgHom.{u1, max u2 u3, u4} R (MvPolynomial.{u2, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u2} A σ _inst_3)) (CommSemiring.toSemiring.{u4} B _inst_4) (MvPolynomial.algebra.{u1, u3, u2} R A σ _inst_1 _inst_3 _inst_5) _inst_6) f g)
+but is expected to have type
+  forall {R : Type.{u4}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u4} R] {A : Type.{u3}} {B : Type.{u2}} [_inst_3 : CommSemiring.{u3} A] [_inst_4 : CommSemiring.{u2} B] [_inst_5 : Algebra.{u4, u3} R A _inst_1 (CommSemiring.toSemiring.{u3} A _inst_3)] [_inst_6 : Algebra.{u4, u2} R B _inst_1 (CommSemiring.toSemiring.{u2} B _inst_4)] {f : AlgHom.{u4, max u3 u1, u2} R (MvPolynomial.{u1, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) (CommSemiring.toSemiring.{u2} B _inst_4) (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5) _inst_6} {g : AlgHom.{u4, max u3 u1, u2} R (MvPolynomial.{u1, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) (CommSemiring.toSemiring.{u2} B _inst_4) (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5) _inst_6}, (Eq.{max (succ u3) (succ u2)} (AlgHom.{u4, u3, u2} R A B _inst_1 (CommSemiring.toSemiring.{u3} A _inst_3) (CommSemiring.toSemiring.{u2} B _inst_4) _inst_5 _inst_6) (AlgHom.comp.{u4, u3, max u1 u3, u2} R A (MvPolynomial.{u1, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{u3} A _inst_3) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) (CommSemiring.toSemiring.{u2} B _inst_4) _inst_5 (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5) _inst_6 f (IsScalarTower.toAlgHom.{u4, u3, max u3 u1} R A (MvPolynomial.{u1, u3} σ A _inst_3) _inst_1 _inst_3 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) _inst_5 (MvPolynomial.algebra.{u3, u3, u1} A A σ _inst_3 _inst_3 (Algebra.id.{u3} A _inst_3)) (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5) (MvPolynomial.isScalarTower.{u4, u3, u3, u1} R A A σ (MonoidWithZero.toMonoid.{u4} R (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (MonoidWithZero.toMonoid.{u3} A (Semiring.toMonoidWithZero.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3))) _inst_3 (Algebra.toSMul.{u4, u3} R A _inst_1 (CommSemiring.toSemiring.{u3} A _inst_3) _inst_5) (Module.toDistribMulAction.{u4, u3} R A (CommSemiring.toSemiring.{u4} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3)))) (Algebra.toModule.{u4, u3} R A _inst_1 (CommSemiring.toSemiring.{u3} A _inst_3) _inst_5)) (Module.toDistribMulAction.{u3, u3} A A (CommSemiring.toSemiring.{u3} A _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3)))) (Semiring.toModule.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3))) (IsScalarTower.right.{u4, u3} R A _inst_1 (CommSemiring.toSemiring.{u3} A _inst_3) _inst_5)))) (AlgHom.comp.{u4, u3, max u1 u3, u2} R A (MvPolynomial.{u1, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{u3} A _inst_3) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) (CommSemiring.toSemiring.{u2} B _inst_4) _inst_5 (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5) _inst_6 g (IsScalarTower.toAlgHom.{u4, u3, max u3 u1} R A (MvPolynomial.{u1, u3} σ A _inst_3) _inst_1 _inst_3 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) _inst_5 (MvPolynomial.algebra.{u3, u3, u1} A A σ _inst_3 _inst_3 (Algebra.id.{u3} A _inst_3)) (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5) (MvPolynomial.isScalarTower.{u4, u3, u3, u1} R A A σ (MonoidWithZero.toMonoid.{u4} R (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (MonoidWithZero.toMonoid.{u3} A (Semiring.toMonoidWithZero.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3))) _inst_3 (Algebra.toSMul.{u4, u3} R A _inst_1 (CommSemiring.toSemiring.{u3} A _inst_3) _inst_5) (Module.toDistribMulAction.{u4, u3} R A (CommSemiring.toSemiring.{u4} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3)))) (Algebra.toModule.{u4, u3} R A _inst_1 (CommSemiring.toSemiring.{u3} A _inst_3) _inst_5)) (Module.toDistribMulAction.{u3, u3} A A (CommSemiring.toSemiring.{u3} A _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3)))) (Semiring.toModule.{u3} A (CommSemiring.toSemiring.{u3} A _inst_3))) (IsScalarTower.right.{u4, u3} R A _inst_1 (CommSemiring.toSemiring.{u3} A _inst_3) _inst_5))))) -> (forall (i : σ), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u1, u3} σ A _inst_3) => B) (MvPolynomial.X.{u3, u1} A σ _inst_3 i)) (FunLike.coe.{max (max (succ u1) (succ u3)) (succ u2), max (succ u1) (succ u3), succ u2} (AlgHom.{u4, max u3 u1, u2} R (MvPolynomial.{u1, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) (CommSemiring.toSemiring.{u2} B _inst_4) (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5) _inst_6) (MvPolynomial.{u1, u3} σ A _inst_3) (fun (_x : MvPolynomial.{u1, u3} σ A _inst_3) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u1, u3} σ A _inst_3) => B) _x) (SMulHomClass.toFunLike.{max (max u1 u3) u2, u4, max u1 u3, u2} (AlgHom.{u4, max u3 u1, u2} R (MvPolynomial.{u1, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) (CommSemiring.toSemiring.{u2} B _inst_4) (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5) _inst_6) R (MvPolynomial.{u1, u3} σ A _inst_3) B (SMulZeroClass.toSMul.{u4, max u1 u3} R (MvPolynomial.{u1, u3} σ A _inst_3) (AddMonoid.toZero.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (AddCommMonoid.toAddMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3))))))) (DistribSMul.toSMulZeroClass.{u4, max u1 u3} R (MvPolynomial.{u1, u3} σ A _inst_3) (AddMonoid.toAddZeroClass.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (AddCommMonoid.toAddMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3))))))) (DistribMulAction.toDistribSMul.{u4, max u1 u3} R (MvPolynomial.{u1, u3} σ A _inst_3) (MonoidWithZero.toMonoid.{u4} R (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)))))) (Module.toDistribMulAction.{u4, max u1 u3} R (MvPolynomial.{u1, u3} σ A _inst_3) (CommSemiring.toSemiring.{u4} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3))))) (Algebra.toModule.{u4, max u1 u3} R (MvPolynomial.{u1, u3} σ A _inst_3) _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5)))))) (SMulZeroClass.toSMul.{u4, u2} R B (AddMonoid.toZero.{u2} B (AddCommMonoid.toAddMonoid.{u2} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_4)))))) (DistribSMul.toSMulZeroClass.{u4, u2} R B (AddMonoid.toAddZeroClass.{u2} B (AddCommMonoid.toAddMonoid.{u2} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_4)))))) (DistribMulAction.toDistribSMul.{u4, u2} R B (MonoidWithZero.toMonoid.{u4} R (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (AddCommMonoid.toAddMonoid.{u2} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_4))))) (Module.toDistribMulAction.{u4, u2} R B (CommSemiring.toSemiring.{u4} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_4)))) (Algebra.toModule.{u4, u2} R B _inst_1 (CommSemiring.toSemiring.{u2} B _inst_4) _inst_6))))) (DistribMulActionHomClass.toSMulHomClass.{max (max u1 u3) u2, u4, max u1 u3, u2} (AlgHom.{u4, max u3 u1, u2} R (MvPolynomial.{u1, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) (CommSemiring.toSemiring.{u2} B _inst_4) (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5) _inst_6) R (MvPolynomial.{u1, u3} σ A _inst_3) B (MonoidWithZero.toMonoid.{u4} R (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)))))) (AddCommMonoid.toAddMonoid.{u2} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_4))))) (Module.toDistribMulAction.{u4, max u1 u3} R (MvPolynomial.{u1, u3} σ A _inst_3) (CommSemiring.toSemiring.{u4} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3))))) (Algebra.toModule.{u4, max u1 u3} R (MvPolynomial.{u1, u3} σ A _inst_3) _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5))) (Module.toDistribMulAction.{u4, u2} R B (CommSemiring.toSemiring.{u4} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_4)))) (Algebra.toModule.{u4, u2} R B _inst_1 (CommSemiring.toSemiring.{u2} B _inst_4) _inst_6)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max (max u1 u3) u2, u4, max u1 u3, u2} (AlgHom.{u4, max u3 u1, u2} R (MvPolynomial.{u1, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) (CommSemiring.toSemiring.{u2} B _inst_4) (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5) _inst_6) R (MvPolynomial.{u1, u3} σ A _inst_3) B (MonoidWithZero.toMonoid.{u4} R (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_4))) (Module.toDistribMulAction.{u4, max u1 u3} R (MvPolynomial.{u1, u3} σ A _inst_3) (CommSemiring.toSemiring.{u4} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3))))) (Algebra.toModule.{u4, max u1 u3} R (MvPolynomial.{u1, u3} σ A _inst_3) _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5))) (Module.toDistribMulAction.{u4, u2} R B (CommSemiring.toSemiring.{u4} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_4)))) (Algebra.toModule.{u4, u2} R B _inst_1 (CommSemiring.toSemiring.{u2} B _inst_4) _inst_6)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u4, max u1 u3, u2, max (max u1 u3) u2} R (MvPolynomial.{u1, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) (CommSemiring.toSemiring.{u2} B _inst_4) (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5) _inst_6 (AlgHom.{u4, max u3 u1, u2} R (MvPolynomial.{u1, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) (CommSemiring.toSemiring.{u2} B _inst_4) (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5) _inst_6) (AlgHom.algHomClass.{u4, max u1 u3, u2} R (MvPolynomial.{u1, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) (CommSemiring.toSemiring.{u2} B _inst_4) (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5) _inst_6))))) f (MvPolynomial.X.{u3, u1} A σ _inst_3 i)) (FunLike.coe.{max (max (succ u1) (succ u3)) (succ u2), max (succ u1) (succ u3), succ u2} (AlgHom.{u4, max u3 u1, u2} R (MvPolynomial.{u1, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) (CommSemiring.toSemiring.{u2} B _inst_4) (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5) _inst_6) (MvPolynomial.{u1, u3} σ A _inst_3) (fun (_x : MvPolynomial.{u1, u3} σ A _inst_3) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u1, u3} σ A _inst_3) => B) _x) (SMulHomClass.toFunLike.{max (max u1 u3) u2, u4, max u1 u3, u2} (AlgHom.{u4, max u3 u1, u2} R (MvPolynomial.{u1, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) (CommSemiring.toSemiring.{u2} B _inst_4) (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5) _inst_6) R (MvPolynomial.{u1, u3} σ A _inst_3) B (SMulZeroClass.toSMul.{u4, max u1 u3} R (MvPolynomial.{u1, u3} σ A _inst_3) (AddMonoid.toZero.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (AddCommMonoid.toAddMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3))))))) (DistribSMul.toSMulZeroClass.{u4, max u1 u3} R (MvPolynomial.{u1, u3} σ A _inst_3) (AddMonoid.toAddZeroClass.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (AddCommMonoid.toAddMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3))))))) (DistribMulAction.toDistribSMul.{u4, max u1 u3} R (MvPolynomial.{u1, u3} σ A _inst_3) (MonoidWithZero.toMonoid.{u4} R (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)))))) (Module.toDistribMulAction.{u4, max u1 u3} R (MvPolynomial.{u1, u3} σ A _inst_3) (CommSemiring.toSemiring.{u4} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3))))) (Algebra.toModule.{u4, max u1 u3} R (MvPolynomial.{u1, u3} σ A _inst_3) _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5)))))) (SMulZeroClass.toSMul.{u4, u2} R B (AddMonoid.toZero.{u2} B (AddCommMonoid.toAddMonoid.{u2} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_4)))))) (DistribSMul.toSMulZeroClass.{u4, u2} R B (AddMonoid.toAddZeroClass.{u2} B (AddCommMonoid.toAddMonoid.{u2} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_4)))))) (DistribMulAction.toDistribSMul.{u4, u2} R B (MonoidWithZero.toMonoid.{u4} R (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (AddCommMonoid.toAddMonoid.{u2} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_4))))) (Module.toDistribMulAction.{u4, u2} R B (CommSemiring.toSemiring.{u4} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_4)))) (Algebra.toModule.{u4, u2} R B _inst_1 (CommSemiring.toSemiring.{u2} B _inst_4) _inst_6))))) (DistribMulActionHomClass.toSMulHomClass.{max (max u1 u3) u2, u4, max u1 u3, u2} (AlgHom.{u4, max u3 u1, u2} R (MvPolynomial.{u1, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) (CommSemiring.toSemiring.{u2} B _inst_4) (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5) _inst_6) R (MvPolynomial.{u1, u3} σ A _inst_3) B (MonoidWithZero.toMonoid.{u4} R (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)))))) (AddCommMonoid.toAddMonoid.{u2} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_4))))) (Module.toDistribMulAction.{u4, max u1 u3} R (MvPolynomial.{u1, u3} σ A _inst_3) (CommSemiring.toSemiring.{u4} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3))))) (Algebra.toModule.{u4, max u1 u3} R (MvPolynomial.{u1, u3} σ A _inst_3) _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5))) (Module.toDistribMulAction.{u4, u2} R B (CommSemiring.toSemiring.{u4} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_4)))) (Algebra.toModule.{u4, u2} R B _inst_1 (CommSemiring.toSemiring.{u2} B _inst_4) _inst_6)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max (max u1 u3) u2, u4, max u1 u3, u2} (AlgHom.{u4, max u3 u1, u2} R (MvPolynomial.{u1, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) (CommSemiring.toSemiring.{u2} B _inst_4) (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5) _inst_6) R (MvPolynomial.{u1, u3} σ A _inst_3) B (MonoidWithZero.toMonoid.{u4} R (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_4))) (Module.toDistribMulAction.{u4, max u1 u3} R (MvPolynomial.{u1, u3} σ A _inst_3) (CommSemiring.toSemiring.{u4} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3))))) (Algebra.toModule.{u4, max u1 u3} R (MvPolynomial.{u1, u3} σ A _inst_3) _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5))) (Module.toDistribMulAction.{u4, u2} R B (CommSemiring.toSemiring.{u4} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_4)))) (Algebra.toModule.{u4, u2} R B _inst_1 (CommSemiring.toSemiring.{u2} B _inst_4) _inst_6)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u4, max u1 u3, u2, max (max u1 u3) u2} R (MvPolynomial.{u1, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) (CommSemiring.toSemiring.{u2} B _inst_4) (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5) _inst_6 (AlgHom.{u4, max u3 u1, u2} R (MvPolynomial.{u1, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) (CommSemiring.toSemiring.{u2} B _inst_4) (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5) _inst_6) (AlgHom.algHomClass.{u4, max u1 u3, u2} R (MvPolynomial.{u1, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) (CommSemiring.toSemiring.{u2} B _inst_4) (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5) _inst_6))))) g (MvPolynomial.X.{u3, u1} A σ _inst_3 i))) -> (Eq.{max (max (succ u1) (succ u3)) (succ u2)} (AlgHom.{u4, max u3 u1, u2} R (MvPolynomial.{u1, u3} σ A _inst_3) B _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ A _inst_3) (MvPolynomial.commSemiring.{u3, u1} A σ _inst_3)) (CommSemiring.toSemiring.{u2} B _inst_4) (MvPolynomial.algebra.{u4, u3, u1} R A σ _inst_1 _inst_3 _inst_5) _inst_6) f g)
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.alg_hom_ext' MvPolynomial.algHom_ext'ₓ'. -/
 @[ext]
 theorem algHom_ext' {A B : Type _} [CommSemiring A] [CommSemiring B] [Algebra R A] [Algebra R B]
     {f g : MvPolynomial σ A →ₐ[R] B}
     (h₁ :
       f.comp (IsScalarTower.toAlgHom R A (MvPolynomial σ A)) =
         g.comp (IsScalarTower.toAlgHom R A (MvPolynomial σ A)))
-    (h₂ : ∀ i, f (x i) = g (x i)) : f = g :=
+    (h₂ : ∀ i, f (X i) = g (X i)) : f = g :=
   AlgHom.coe_ringHom_injective (MvPolynomial.ringHom_ext' (congr_arg AlgHom.toRingHom h₁) h₂)
 #align mv_polynomial.alg_hom_ext' MvPolynomial.algHom_ext'
 
+/- warning: mv_polynomial.alg_hom_ext -> MvPolynomial.algHom_ext is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {A : Type.{u3}} [_inst_3 : Semiring.{u3} A] [_inst_4 : Algebra.{u1, u3} R A _inst_1 _inst_3] {f : AlgHom.{u1, max u2 u1, u3} R (MvPolynomial.{u2, u1} σ R _inst_1) A _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) _inst_3 (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_4} {g : AlgHom.{u1, max u2 u1, u3} R (MvPolynomial.{u2, u1} σ R _inst_1) A _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) _inst_3 (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_4}, (forall (i : σ), Eq.{succ u3} A (coeFn.{max (succ (max u2 u1)) (succ u3), max (succ (max u2 u1)) (succ u3)} (AlgHom.{u1, max u2 u1, u3} R (MvPolynomial.{u2, u1} σ R _inst_1) A _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) _inst_3 (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_4) (fun (_x : AlgHom.{u1, max u2 u1, u3} R (MvPolynomial.{u2, u1} σ R _inst_1) A _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) _inst_3 (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_4) => (MvPolynomial.{u2, u1} σ R _inst_1) -> A) ([anonymous].{u1, max u2 u1, u3} R (MvPolynomial.{u2, u1} σ R _inst_1) A _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) _inst_3 (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_4) f (MvPolynomial.X.{u1, u2} R σ _inst_1 i)) (coeFn.{max (succ (max u2 u1)) (succ u3), max (succ (max u2 u1)) (succ u3)} (AlgHom.{u1, max u2 u1, u3} R (MvPolynomial.{u2, u1} σ R _inst_1) A _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) _inst_3 (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_4) (fun (_x : AlgHom.{u1, max u2 u1, u3} R (MvPolynomial.{u2, u1} σ R _inst_1) A _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) _inst_3 (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_4) => (MvPolynomial.{u2, u1} σ R _inst_1) -> A) ([anonymous].{u1, max u2 u1, u3} R (MvPolynomial.{u2, u1} σ R _inst_1) A _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) _inst_3 (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_4) g (MvPolynomial.X.{u1, u2} R σ _inst_1 i))) -> (Eq.{max (succ (max u2 u1)) (succ u3)} (AlgHom.{u1, max u2 u1, u3} R (MvPolynomial.{u2, u1} σ R _inst_1) A _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) _inst_3 (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_4) f g)
+but is expected to have type
+  forall {R : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u3} R] {A : Type.{u2}} [_inst_3 : Semiring.{u2} A] [_inst_4 : Algebra.{u3, u2} R A _inst_1 _inst_3] {f : AlgHom.{u3, max u3 u1, u2} R (MvPolynomial.{u1, u3} σ R _inst_1) A _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) _inst_3 (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_4} {g : AlgHom.{u3, max u3 u1, u2} R (MvPolynomial.{u1, u3} σ R _inst_1) A _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) _inst_3 (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_4}, (forall (i : σ), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u1, u3} σ R _inst_1) => A) (MvPolynomial.X.{u3, u1} R σ _inst_1 i)) (FunLike.coe.{max (max (succ u3) (succ u1)) (succ u2), max (succ u3) (succ u1), succ u2} (AlgHom.{u3, max u3 u1, u2} R (MvPolynomial.{u1, u3} σ R _inst_1) A _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) _inst_3 (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_4) (MvPolynomial.{u1, u3} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u3} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u1, u3} σ R _inst_1) => A) _x) (SMulHomClass.toFunLike.{max (max u3 u1) u2, u3, max u3 u1, u2} (AlgHom.{u3, max u3 u1, u2} R (MvPolynomial.{u1, u3} σ R _inst_1) A _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) _inst_3 (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_4) R (MvPolynomial.{u1, u3} σ R _inst_1) A (SMulZeroClass.toSMul.{u3, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) (AddMonoid.toZero.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))))) (DistribSMul.toSMulZeroClass.{u3, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))))) (DistribMulAction.toDistribSMul.{u3, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))))) (Module.toDistribMulAction.{u3, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Algebra.toModule.{u3, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1))))))) (SMulZeroClass.toSMul.{u3, u2} R A (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))))) (DistribSMul.toSMulZeroClass.{u3, u2} R A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))))) (DistribMulAction.toDistribSMul.{u3, u2} R A (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)))) (Module.toDistribMulAction.{u3, u2} R A (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (Algebra.toModule.{u3, u2} R A _inst_1 _inst_3 _inst_4))))) (DistribMulActionHomClass.toSMulHomClass.{max (max u3 u1) u2, u3, max u3 u1, u2} (AlgHom.{u3, max u3 u1, u2} R (MvPolynomial.{u1, u3} σ R _inst_1) A _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) _inst_3 (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_4) R (MvPolynomial.{u1, u3} σ R _inst_1) A (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))))) (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)))) (Module.toDistribMulAction.{u3, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Algebra.toModule.{u3, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)))) (Module.toDistribMulAction.{u3, u2} R A (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (Algebra.toModule.{u3, u2} R A _inst_1 _inst_3 _inst_4)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max (max u3 u1) u2, u3, max u3 u1, u2} (AlgHom.{u3, max u3 u1, u2} R (MvPolynomial.{u1, u3} σ R _inst_1) A _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) _inst_3 (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_4) R (MvPolynomial.{u1, u3} σ R _inst_1) A (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (Module.toDistribMulAction.{u3, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Algebra.toModule.{u3, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)))) (Module.toDistribMulAction.{u3, u2} R A (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (Algebra.toModule.{u3, u2} R A _inst_1 _inst_3 _inst_4)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u3, max u3 u1, u2, max (max u3 u1) u2} R (MvPolynomial.{u1, u3} σ R _inst_1) A _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) _inst_3 (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_4 (AlgHom.{u3, max u3 u1, u2} R (MvPolynomial.{u1, u3} σ R _inst_1) A _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) _inst_3 (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_4) (AlgHom.algHomClass.{u3, max u3 u1, u2} R (MvPolynomial.{u1, u3} σ R _inst_1) A _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) _inst_3 (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_4))))) f (MvPolynomial.X.{u3, u1} R σ _inst_1 i)) (FunLike.coe.{max (max (succ u3) (succ u1)) (succ u2), max (succ u3) (succ u1), succ u2} (AlgHom.{u3, max u3 u1, u2} R (MvPolynomial.{u1, u3} σ R _inst_1) A _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) _inst_3 (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_4) (MvPolynomial.{u1, u3} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u3} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u1, u3} σ R _inst_1) => A) _x) (SMulHomClass.toFunLike.{max (max u3 u1) u2, u3, max u3 u1, u2} (AlgHom.{u3, max u3 u1, u2} R (MvPolynomial.{u1, u3} σ R _inst_1) A _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) _inst_3 (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_4) R (MvPolynomial.{u1, u3} σ R _inst_1) A (SMulZeroClass.toSMul.{u3, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) (AddMonoid.toZero.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))))) (DistribSMul.toSMulZeroClass.{u3, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))))) (DistribMulAction.toDistribSMul.{u3, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))))) (Module.toDistribMulAction.{u3, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Algebra.toModule.{u3, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1))))))) (SMulZeroClass.toSMul.{u3, u2} R A (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))))) (DistribSMul.toSMulZeroClass.{u3, u2} R A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))))) (DistribMulAction.toDistribSMul.{u3, u2} R A (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)))) (Module.toDistribMulAction.{u3, u2} R A (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (Algebra.toModule.{u3, u2} R A _inst_1 _inst_3 _inst_4))))) (DistribMulActionHomClass.toSMulHomClass.{max (max u3 u1) u2, u3, max u3 u1, u2} (AlgHom.{u3, max u3 u1, u2} R (MvPolynomial.{u1, u3} σ R _inst_1) A _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) _inst_3 (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_4) R (MvPolynomial.{u1, u3} σ R _inst_1) A (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))))) (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)))) (Module.toDistribMulAction.{u3, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Algebra.toModule.{u3, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)))) (Module.toDistribMulAction.{u3, u2} R A (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (Algebra.toModule.{u3, u2} R A _inst_1 _inst_3 _inst_4)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max (max u3 u1) u2, u3, max u3 u1, u2} (AlgHom.{u3, max u3 u1, u2} R (MvPolynomial.{u1, u3} σ R _inst_1) A _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) _inst_3 (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_4) R (MvPolynomial.{u1, u3} σ R _inst_1) A (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (Module.toDistribMulAction.{u3, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Algebra.toModule.{u3, max u3 u1} R (MvPolynomial.{u1, u3} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)))) (Module.toDistribMulAction.{u3, u2} R A (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (Algebra.toModule.{u3, u2} R A _inst_1 _inst_3 _inst_4)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u3, max u3 u1, u2, max (max u3 u1) u2} R (MvPolynomial.{u1, u3} σ R _inst_1) A _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) _inst_3 (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_4 (AlgHom.{u3, max u3 u1, u2} R (MvPolynomial.{u1, u3} σ R _inst_1) A _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) _inst_3 (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_4) (AlgHom.algHomClass.{u3, max u3 u1, u2} R (MvPolynomial.{u1, u3} σ R _inst_1) A _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) _inst_3 (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_4))))) g (MvPolynomial.X.{u3, u1} R σ _inst_1 i))) -> (Eq.{max (max (succ u3) (succ u1)) (succ u2)} (AlgHom.{u3, max u3 u1, u2} R (MvPolynomial.{u1, u3} σ R _inst_1) A _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) _inst_3 (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_4) f g)
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.alg_hom_ext MvPolynomial.algHom_extₓ'. -/
 @[ext]
 theorem algHom_ext {A : Type _} [Semiring A] [Algebra R A] {f g : MvPolynomial σ R →ₐ[R] A}
-    (hf : ∀ i : σ, f (x i) = g (x i)) : f = g :=
+    (hf : ∀ i : σ, f (X i) = g (X i)) : f = g :=
   AddMonoidAlgebra.algHom_ext' (mulHom_ext' fun x : σ => MonoidHom.ext_mnat (hf x))
 #align mv_polynomial.alg_hom_ext MvPolynomial.algHom_ext
 
+/- warning: mv_polynomial.alg_hom_C -> MvPolynomial.algHom_C is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] (f : AlgHom.{u1, max u2 u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1))) (r : R), Eq.{max (succ u2) (succ u1)} (MvPolynomial.{u2, u1} σ R _inst_1) (coeFn.{succ (max u2 u1), succ (max u2 u1)} (AlgHom.{u1, max u2 u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1))) (fun (_x : AlgHom.{u1, max u2 u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1))) => (MvPolynomial.{u2, u1} σ R _inst_1) -> (MvPolynomial.{u2, u1} σ R _inst_1)) ([anonymous].{u1, max u2 u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1))) f (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (fun (_x : RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (MvPolynomial.C.{u1, u2} R σ _inst_1) r)) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (fun (_x : RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (MvPolynomial.C.{u1, u2} R σ _inst_1) r)
+but is expected to have type
+  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] (f : AlgHom.{u2, max u2 u1, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) (r : R), Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u2} σ R _inst_1) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (a : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) r)) (FunLike.coe.{max (succ u2) (succ u1), max (succ u2) (succ u1), max (succ u2) (succ u1)} (AlgHom.{u2, max u2 u1, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (SMulHomClass.toFunLike.{max u2 u1, u2, max u2 u1, max u2 u1} (AlgHom.{u2, max u2 u1, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (SMulZeroClass.toSMul.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (AddMonoid.toZero.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (DistribSMul.toSMulZeroClass.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (DistribMulAction.toDistribSMul.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (Module.toDistribMulAction.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))))))) (SMulZeroClass.toSMul.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (AddMonoid.toZero.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (DistribSMul.toSMulZeroClass.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (DistribMulAction.toDistribSMul.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (Module.toDistribMulAction.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))))))) (DistribMulActionHomClass.toSMulHomClass.{max u2 u1, u2, max u2 u1, max u2 u1} (AlgHom.{u2, max u2 u1, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (AddCommMonoid.toAddMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (Module.toDistribMulAction.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (Module.toDistribMulAction.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max u2 u1, u2, max u2 u1, max u2 u1} (AlgHom.{u2, max u2 u1, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (Module.toDistribMulAction.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (Module.toDistribMulAction.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u2, max u2 u1, max u2 u1, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (AlgHom.{u2, max u2 u1, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) (AlgHom.algHomClass.{u2, max u2 u1, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))))))) f (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) r)) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) r)
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.alg_hom_C MvPolynomial.algHom_Cₓ'. -/
 @[simp]
-theorem algHom_c (f : MvPolynomial σ R →ₐ[R] MvPolynomial σ R) (r : R) : f (c r) = c r :=
+theorem algHom_C (f : MvPolynomial σ R →ₐ[R] MvPolynomial σ R) (r : R) : f (C r) = C r :=
   f.commutes r
-#align mv_polynomial.alg_hom_C MvPolynomial.algHom_c
+#align mv_polynomial.alg_hom_C MvPolynomial.algHom_C
 
+/- warning: mv_polynomial.adjoin_range_X -> MvPolynomial.adjoin_range_X is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R], Eq.{succ (max u2 u1)} (Subalgebra.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1))) (Algebra.adjoin.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) (Set.range.{max u2 u1, succ u2} (MvPolynomial.{u2, u1} σ R _inst_1) σ (MvPolynomial.X.{u1, u2} R σ _inst_1))) (Top.top.{max u2 u1} (Subalgebra.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1))) (CompleteLattice.toHasTop.{max u2 u1} (Subalgebra.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1))) (Algebra.Subalgebra.completeLattice.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)))))
+but is expected to have type
+  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R], Eq.{max (succ u2) (succ u1)} (Subalgebra.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) (Algebra.adjoin.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (Set.range.{max u2 u1, succ u1} (MvPolynomial.{u1, u2} σ R _inst_1) σ (MvPolynomial.X.{u2, u1} R σ _inst_1))) (Top.top.{max u2 u1} (Subalgebra.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) (CompleteLattice.toTop.{max u2 u1} (Subalgebra.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) (Algebra.instCompleteLatticeSubalgebra.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))))
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.adjoin_range_X MvPolynomial.adjoin_range_Xₓ'. -/
 @[simp]
-theorem adjoin_range_x : Algebra.adjoin R (range (x : σ → MvPolynomial σ R)) = ⊤ :=
+theorem adjoin_range_X : Algebra.adjoin R (range (X : σ → MvPolynomial σ R)) = ⊤ :=
   by
   set S := Algebra.adjoin R (range (X : σ → MvPolynomial σ R))
   refine' top_unique fun p hp => _; clear hp
@@ -482,8 +818,14 @@ theorem adjoin_range_x : Algebra.adjoin R (range (x : σ → MvPolynomial σ R))
   case h_C => exact S.algebra_map_mem _
   case h_add p q hp hq => exact S.add_mem hp hq
   case h_X p i hp => exact S.mul_mem hp (Algebra.subset_adjoin <| mem_range_self _)
-#align mv_polynomial.adjoin_range_X MvPolynomial.adjoin_range_x
-
+#align mv_polynomial.adjoin_range_X MvPolynomial.adjoin_range_X
+
+/- warning: mv_polynomial.linear_map_ext -> MvPolynomial.linearMap_ext is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {M : Type.{u3}} [_inst_3 : AddCommMonoid.{u3} M] [_inst_4 : Module.{u1, u3} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_3] {f : LinearMap.{u1, u1, max u2 u1, u3} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.{u2, u1} σ R _inst_1) M (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) _inst_3 (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) _inst_4} {g : LinearMap.{u1, u1, max u2 u1, u3} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.{u2, u1} σ R _inst_1) M (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) _inst_3 (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) _inst_4}, (forall (s : Finsupp.{u2, 0} σ Nat Nat.hasZero), Eq.{max (succ u1) (succ u3)} (LinearMap.{u1, u1, u1, u3} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R M (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) _inst_3 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) _inst_4) (LinearMap.comp.{u1, u1, u1, u1, max u2 u1, u3} R R R R (MvPolynomial.{u2, u1} σ R _inst_1) M (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) _inst_3 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) _inst_4 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHomCompTriple.ids.{u1, u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) f (MvPolynomial.monomial.{u1, u2} R σ _inst_1 s)) (LinearMap.comp.{u1, u1, u1, u1, max u2 u1, u3} R R R R (MvPolynomial.{u2, u1} σ R _inst_1) M (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) _inst_3 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) _inst_4 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHomCompTriple.ids.{u1, u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) g (MvPolynomial.monomial.{u1, u2} R σ _inst_1 s))) -> (Eq.{max (succ (max u2 u1)) (succ u3)} (LinearMap.{u1, u1, max u2 u1, u3} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.{u2, u1} σ R _inst_1) M (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) _inst_3 (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) _inst_4) f g)
+but is expected to have type
+  forall {R : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u3} R] {M : Type.{u2}} [_inst_3 : AddCommMonoid.{u2} M] [_inst_4 : Module.{u3, u2} R M (CommSemiring.toSemiring.{u3} R _inst_1) _inst_3] {f : LinearMap.{u3, u3, max u3 u1, u2} R R (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (MvPolynomial.{u1, u3} σ R _inst_1) M (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) _inst_3 (MvPolynomial.module.{u3, u3, u1} R R σ (CommSemiring.toSemiring.{u3} R _inst_1) _inst_1 (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) _inst_4} {g : LinearMap.{u3, u3, max u3 u1, u2} R R (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (MvPolynomial.{u1, u3} σ R _inst_1) M (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) _inst_3 (MvPolynomial.module.{u3, u3, u1} R R σ (CommSemiring.toSemiring.{u3} R _inst_1) _inst_1 (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) _inst_4}, (forall (s : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)), Eq.{max (succ u3) (succ u2)} (LinearMap.{u3, u3, u3, u2} R R (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) R M (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) _inst_3 (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) _inst_4) (LinearMap.comp.{u3, u3, u3, u3, max u3 u1, u2} R R R R (MvPolynomial.{u1, u3} σ R _inst_1) M (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) _inst_3 (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (MvPolynomial.module.{u3, u3, u1} R R σ (CommSemiring.toSemiring.{u3} R _inst_1) _inst_1 (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) _inst_4 (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (RingHomCompTriple.ids.{u3, u3} R R (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) f (MvPolynomial.monomial.{u3, u1} R σ _inst_1 s)) (LinearMap.comp.{u3, u3, u3, u3, max u3 u1, u2} R R R R (MvPolynomial.{u1, u3} σ R _inst_1) M (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) _inst_3 (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (MvPolynomial.module.{u3, u3, u1} R R σ (CommSemiring.toSemiring.{u3} R _inst_1) _inst_1 (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) _inst_4 (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (RingHomCompTriple.ids.{u3, u3} R R (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) g (MvPolynomial.monomial.{u3, u1} R σ _inst_1 s))) -> (Eq.{max (max (succ u3) (succ u1)) (succ u2)} (LinearMap.{u3, u3, max u3 u1, u2} R R (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (MvPolynomial.{u1, u3} σ R _inst_1) M (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) _inst_3 (MvPolynomial.module.{u3, u3, u1} R R σ (CommSemiring.toSemiring.{u3} R _inst_1) _inst_1 (Semiring.toModule.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) _inst_4) f g)
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.linear_map_ext MvPolynomial.linearMap_extₓ'. -/
 @[ext]
 theorem linearMap_ext {M : Type _} [AddCommMonoid M] [Module R M] {f g : MvPolynomial σ R →ₗ[R] M}
     (h : ∀ s, f ∘ₗ monomial s = g ∘ₗ monomial s) : f = g :=
@@ -492,47 +834,103 @@ theorem linearMap_ext {M : Type _} [AddCommMonoid M] [Module R M] {f g : MvPolyn
 
 section Support
 
+#print MvPolynomial.support /-
 /-- The finite set of all `m : σ →₀ ℕ` such that `X^m` has a non-zero coefficient.
 -/
 def support (p : MvPolynomial σ R) : Finset (σ →₀ ℕ) :=
   p.support
 #align mv_polynomial.support MvPolynomial.support
+-/
 
+/- warning: mv_polynomial.finsupp_support_eq_support -> MvPolynomial.finsupp_support_eq_support is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] (p : MvPolynomial.{u2, u1} σ R _inst_1), Eq.{succ u2} (Finset.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (Finsupp.support.{u2, u1} (Finsupp.{u2, 0} σ Nat Nat.hasZero) R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) p) (MvPolynomial.support.{u1, u2} R σ _inst_1 p)
+but is expected to have type
+  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] (p : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{succ u1} (Finset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (Finsupp.support.{u1, u2} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) p) (MvPolynomial.support.{u2, u1} R σ _inst_1 p)
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.finsupp_support_eq_support MvPolynomial.finsupp_support_eq_supportₓ'. -/
 theorem finsupp_support_eq_support (p : MvPolynomial σ R) : Finsupp.support p = p.support :=
   rfl
 #align mv_polynomial.finsupp_support_eq_support MvPolynomial.finsupp_support_eq_support
 
+/- warning: mv_polynomial.support_monomial -> MvPolynomial.support_monomial is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {σ : Type.{u2}} {a : R} {s : Finsupp.{u2, 0} σ Nat Nat.hasZero} [_inst_1 : CommSemiring.{u1} R] [_inst_3 : Decidable (Eq.{succ u1} R a (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))))))], Eq.{succ u2} (Finset.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (MvPolynomial.support.{u1, u2} R σ _inst_1 (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 s) a)) (ite.{succ u2} (Finset.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (Eq.{succ u1} R a (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))))))) _inst_3 (EmptyCollection.emptyCollection.{u2} (Finset.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (Finset.hasEmptyc.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero))) (Singleton.singleton.{u2, u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finset.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (Finset.hasSingleton.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) s))
+but is expected to have type
+  forall {R : Type.{u2}} {σ : Type.{u1}} {a : R} {s : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)} [_inst_1 : CommSemiring.{u2} R] [_inst_3 : Decidable (Eq.{succ u2} R a (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1)))))], Eq.{succ u1} (Finset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (MvPolynomial.support.{u2, u1} R σ _inst_1 (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s) a)) (ite.{succ u1} (Finset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (Eq.{succ u2} R a (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))))) _inst_3 (EmptyCollection.emptyCollection.{u1} (Finset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (Finset.instEmptyCollectionFinset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)))) (Singleton.singleton.{u1, u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (Finset.instSingletonFinset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) s))
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.support_monomial MvPolynomial.support_monomialₓ'. -/
 theorem support_monomial [Decidable (a = 0)] : (monomial s a).support = if a = 0 then ∅ else {s} :=
   by convert rfl
 #align mv_polynomial.support_monomial MvPolynomial.support_monomial
 
+/- warning: mv_polynomial.support_monomial_subset -> MvPolynomial.support_monomial_subset is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {σ : Type.{u2}} {a : R} {s : Finsupp.{u2, 0} σ Nat Nat.hasZero} [_inst_1 : CommSemiring.{u1} R], HasSubset.Subset.{u2} (Finset.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (Finset.hasSubset.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (MvPolynomial.support.{u1, u2} R σ _inst_1 (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 s) a)) (Singleton.singleton.{u2, u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finset.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (Finset.hasSingleton.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) s)
+but is expected to have type
+  forall {R : Type.{u2}} {σ : Type.{u1}} {a : R} {s : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)} [_inst_1 : CommSemiring.{u2} R], HasSubset.Subset.{u1} (Finset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (Finset.instHasSubsetFinset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (MvPolynomial.support.{u2, u1} R σ _inst_1 (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s) a)) (Singleton.singleton.{u1, u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (Finset.instSingletonFinset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) s)
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.support_monomial_subset MvPolynomial.support_monomial_subsetₓ'. -/
 theorem support_monomial_subset : (monomial s a).support ⊆ {s} :=
   support_single_subset
 #align mv_polynomial.support_monomial_subset MvPolynomial.support_monomial_subset
 
+/- warning: mv_polynomial.support_add -> MvPolynomial.support_add is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {p : MvPolynomial.{u2, u1} σ R _inst_1} {q : MvPolynomial.{u2, u1} σ R _inst_1}, HasSubset.Subset.{u2} (Finset.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (Finset.hasSubset.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (MvPolynomial.support.{u1, u2} R σ _inst_1 (HAdd.hAdd.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (instHAdd.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Distrib.toHasAdd.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))) p q)) (Union.union.{u2} (Finset.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (Finset.hasUnion.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (fun (a : Finsupp.{u2, 0} σ Nat Nat.hasZero) (b : Finsupp.{u2, 0} σ Nat Nat.hasZero) => Finsupp.decidableEq.{u2, 0} σ Nat Nat.hasZero (fun (a : σ) (b : σ) => Classical.propDecidable (Eq.{succ u2} σ a b)) (fun (a : Nat) (b : Nat) => Nat.decidableEq a b) a b)) (MvPolynomial.support.{u1, u2} R σ _inst_1 p) (MvPolynomial.support.{u1, u2} R σ _inst_1 q))
+but is expected to have type
+  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] {p : MvPolynomial.{u1, u2} σ R _inst_1} {q : MvPolynomial.{u1, u2} σ R _inst_1}, HasSubset.Subset.{u1} (Finset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (Finset.instHasSubsetFinset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (MvPolynomial.support.{u2, u1} R σ _inst_1 (HAdd.hAdd.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (instHAdd.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Distrib.toAdd.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) p q)) (Union.union.{u1} (Finset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (Finset.instUnionFinset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (fun (a : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (b : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => Finsupp.decidableEq.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) (fun (a : σ) (b : σ) => Classical.propDecidable (Eq.{succ u1} σ a b)) (fun (a : Nat) (b : Nat) => instDecidableEqNat a b) a b)) (MvPolynomial.support.{u2, u1} R σ _inst_1 p) (MvPolynomial.support.{u2, u1} R σ _inst_1 q))
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.support_add MvPolynomial.support_addₓ'. -/
 theorem support_add : (p + q).support ⊆ p.support ∪ q.support :=
   Finsupp.support_add
 #align mv_polynomial.support_add MvPolynomial.support_add
 
-theorem support_x [Nontrivial R] : (x n : MvPolynomial σ R).support = {single n 1} := by
+/- warning: mv_polynomial.support_X -> MvPolynomial.support_X is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {σ : Type.{u2}} {n : σ} [_inst_1 : CommSemiring.{u1} R] [_inst_3 : Nontrivial.{u1} R], Eq.{succ u2} (Finset.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (MvPolynomial.support.{u1, u2} R σ _inst_1 (MvPolynomial.X.{u1, u2} R σ _inst_1 n)) (Singleton.singleton.{u2, u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finset.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (Finset.hasSingleton.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (Finsupp.single.{u2, 0} σ Nat Nat.hasZero n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne)))))
+but is expected to have type
+  forall {R : Type.{u2}} {σ : Type.{u1}} {n : σ} [_inst_1 : CommSemiring.{u2} R] [_inst_3 : Nontrivial.{u2} R], Eq.{succ u1} (Finset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (MvPolynomial.support.{u2, u1} R σ _inst_1 (MvPolynomial.X.{u2, u1} R σ _inst_1 n)) (Singleton.singleton.{u1, u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (Finset.instSingletonFinset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (Finsupp.single.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.support_X MvPolynomial.support_Xₓ'. -/
+theorem support_X [Nontrivial R] : (X n : MvPolynomial σ R).support = {single n 1} := by
   rw [X, support_monomial, if_neg] <;> exact one_ne_zero
-#align mv_polynomial.support_X MvPolynomial.support_x
-
-theorem support_x_pow [Nontrivial R] (s : σ) (n : ℕ) :
-    (x s ^ n : MvPolynomial σ R).support = {Finsupp.single s n} := by
+#align mv_polynomial.support_X MvPolynomial.support_X
+
+/- warning: mv_polynomial.support_X_pow -> MvPolynomial.support_X_pow is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_3 : Nontrivial.{u1} R] (s : σ) (n : Nat), Eq.{succ u2} (Finset.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (MvPolynomial.support.{u1, u2} R σ _inst_1 (HPow.hPow.{max u2 u1, 0, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) Nat (MvPolynomial.{u2, u1} σ R _inst_1) (instHPow.{max u2 u1, 0} (MvPolynomial.{u2, u1} σ R _inst_1) Nat (Monoid.Pow.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MonoidWithZero.toMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toMonoidWithZero.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))))) (MvPolynomial.X.{u1, u2} R σ _inst_1 s) n)) (Singleton.singleton.{u2, u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finset.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (Finset.hasSingleton.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (Finsupp.single.{u2, 0} σ Nat Nat.hasZero s n))
+but is expected to have type
+  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_3 : Nontrivial.{u2} R] (s : σ) (n : Nat), Eq.{succ u1} (Finset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (MvPolynomial.support.{u2, u1} R σ _inst_1 (HPow.hPow.{max u1 u2, 0, max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) Nat (MvPolynomial.{u1, u2} σ R _inst_1) (instHPow.{max u1 u2, 0} (MvPolynomial.{u1, u2} σ R _inst_1) Nat (Monoid.Pow.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MonoidWithZero.toMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toMonoidWithZero.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (MvPolynomial.X.{u2, u1} R σ _inst_1 s) n)) (Singleton.singleton.{u1, u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (Finset.instSingletonFinset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (Finsupp.single.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) s n))
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.support_X_pow MvPolynomial.support_X_powₓ'. -/
+theorem support_X_pow [Nontrivial R] (s : σ) (n : ℕ) :
+    (X s ^ n : MvPolynomial σ R).support = {Finsupp.single s n} := by
   rw [X_pow_eq_monomial, support_monomial, if_neg (one_ne_zero' R)]
-#align mv_polynomial.support_X_pow MvPolynomial.support_x_pow
+#align mv_polynomial.support_X_pow MvPolynomial.support_X_pow
 
+/- warning: mv_polynomial.support_zero -> MvPolynomial.support_zero is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R], Eq.{succ u2} (Finset.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (MvPolynomial.support.{u1, u2} R σ _inst_1 (OfNat.ofNat.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) 0 (OfNat.mk.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) 0 (Zero.zero.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MulZeroClass.toHasZero.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toMulZeroClass.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))))))))) (EmptyCollection.emptyCollection.{u2} (Finset.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (Finset.hasEmptyc.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)))
+but is expected to have type
+  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R], Eq.{succ u1} (Finset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (MvPolynomial.support.{u2, u1} R σ _inst_1 (OfNat.ofNat.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) 0 (Zero.toOfNat0.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommMonoidWithZero.toZero.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toCommMonoidWithZero.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (EmptyCollection.emptyCollection.{u1} (Finset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (Finset.instEmptyCollectionFinset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))))
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.support_zero MvPolynomial.support_zeroₓ'. -/
 @[simp]
 theorem support_zero : (0 : MvPolynomial σ R).support = ∅ :=
   rfl
 #align mv_polynomial.support_zero MvPolynomial.support_zero
 
+/- warning: mv_polynomial.support_smul -> MvPolynomial.support_smul is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {S₁ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] [_inst_3 : DistribMulAction.{u1, u2} R S₁ (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (AddMonoidWithOne.toAddMonoid.{u2} S₁ (AddCommMonoidWithOne.toAddMonoidWithOne.{u2} S₁ (NonAssocSemiring.toAddCommMonoidWithOne.{u2} S₁ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)))))] {a : R} {f : MvPolynomial.{u3, u2} σ S₁ _inst_2}, HasSubset.Subset.{u3} (Finset.{u3} (Finsupp.{u3, 0} σ Nat Nat.hasZero)) (Finset.hasSubset.{u3} (Finsupp.{u3, 0} σ Nat Nat.hasZero)) (MvPolynomial.support.{u2, u3} S₁ σ _inst_2 (SMul.smul.{u1, max u3 u2} R (MvPolynomial.{u3, u2} σ S₁ _inst_2) (SMulZeroClass.toHasSmul.{u1, max u3 u2} R (MvPolynomial.{u3, u2} σ S₁ _inst_2) (AddZeroClass.toHasZero.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (AddMonoid.toAddZeroClass.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (AddMonoidWithOne.toAddMonoid.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (AddCommMonoidWithOne.toAddMonoidWithOne.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (NonAssocSemiring.toAddCommMonoidWithOne.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))))))) (DistribSMul.toSmulZeroClass.{u1, max u3 u2} R (MvPolynomial.{u3, u2} σ S₁ _inst_2) (AddMonoid.toAddZeroClass.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (AddMonoidWithOne.toAddMonoid.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (AddCommMonoidWithOne.toAddMonoidWithOne.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (NonAssocSemiring.toAddCommMonoidWithOne.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2))))))) (DistribMulAction.toDistribSMul.{u1, max u3 u2} R (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (AddMonoidWithOne.toAddMonoid.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (AddCommMonoidWithOne.toAddMonoidWithOne.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (NonAssocSemiring.toAddCommMonoidWithOne.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))))) (MvPolynomial.distribMulAction.{u1, u2, u3} R S₁ σ (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) _inst_2 _inst_3)))) a f)) (MvPolynomial.support.{u2, u3} S₁ σ _inst_2 f)
+but is expected to have type
+  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] [_inst_3 : DistribMulAction.{u2, u3} R S₁ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddMonoidWithOne.toAddMonoid.{u3} S₁ (AddCommMonoidWithOne.toAddMonoidWithOne.{u3} S₁ (NonAssocSemiring.toAddCommMonoidWithOne.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))] {a : R} {f : MvPolynomial.{u1, u3} σ S₁ _inst_2}, HasSubset.Subset.{u1} (Finset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (Finset.instHasSubsetFinset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (MvPolynomial.support.{u3, u1} S₁ σ _inst_2 (HSMul.hSMul.{u2, max u3 u1, max u3 u1} R (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (instHSMul.{u2, max u3 u1} R (MvPolynomial.{u1, u3} σ S₁ _inst_2) (SMulZeroClass.toSMul.{u2, max u3 u1} R (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommMonoidWithZero.toZero.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toCommMonoidWithZero.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (DistribSMul.toSMulZeroClass.{u2, max u3 u1} R (MvPolynomial.{u1, u3} σ S₁ _inst_2) (AddMonoid.toAddZeroClass.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (AddMonoidWithOne.toAddMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (AddCommMonoidWithOne.toAddMonoidWithOne.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toAddCommMonoidWithOne.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))))) (DistribMulAction.toDistribSMul.{u2, max u3 u1} R (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddMonoidWithOne.toAddMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (AddCommMonoidWithOne.toAddMonoidWithOne.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toAddCommMonoidWithOne.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))))) (MvPolynomial.distribuMulAction.{u2, u3, u1} R S₁ σ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) _inst_2 _inst_3))))) a f)) (MvPolynomial.support.{u3, u1} S₁ σ _inst_2 f)
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.support_smul MvPolynomial.support_smulₓ'. -/
 theorem support_smul [DistribMulAction R S₁] {a : R} {f : MvPolynomial σ S₁} :
     (a • f).support ⊆ f.support :=
   Finsupp.support_smul
 #align mv_polynomial.support_smul MvPolynomial.support_smul
 
+/- warning: mv_polynomial.support_sum -> MvPolynomial.support_sum is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {α : Type.{u3}} {s : Finset.{u3} α} {f : α -> (MvPolynomial.{u2, u1} σ R _inst_1)}, HasSubset.Subset.{u2} (Finset.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (Finset.hasSubset.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (MvPolynomial.support.{u1, u2} R σ _inst_1 (Finset.sum.{max u2 u1, u3} (MvPolynomial.{u2, u1} σ R _inst_1) α (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) s (fun (x : α) => f x))) (Finset.bunionᵢ.{u3, u2} α (Finsupp.{u2, 0} σ Nat Nat.hasZero) (fun (a : Finsupp.{u2, 0} σ Nat Nat.hasZero) (b : Finsupp.{u2, 0} σ Nat Nat.hasZero) => Finsupp.decidableEq.{u2, 0} σ Nat Nat.hasZero (fun (a : σ) (b : σ) => Classical.propDecidable (Eq.{succ u2} σ a b)) (fun (a : Nat) (b : Nat) => Nat.decidableEq a b) a b) s (fun (x : α) => MvPolynomial.support.{u1, u2} R σ _inst_1 (f x)))
+but is expected to have type
+  forall {R : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u3} R] {α : Type.{u2}} {s : Finset.{u2} α} {f : α -> (MvPolynomial.{u1, u3} σ R _inst_1)}, HasSubset.Subset.{u1} (Finset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (Finset.instHasSubsetFinset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (MvPolynomial.support.{u3, u1} R σ _inst_1 (Finset.sum.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) α (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) s (fun (x : α) => f x))) (Finset.bunionᵢ.{u2, u1} α (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (fun (a : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (b : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => Finsupp.decidableEq.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) (fun (a : σ) (b : σ) => Classical.propDecidable (Eq.{succ u1} σ a b)) (fun (a : Nat) (b : Nat) => instDecidableEqNat a b) a b) s (fun (x : α) => MvPolynomial.support.{u3, u1} R σ _inst_1 (f x)))
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.support_sum MvPolynomial.support_sumₓ'. -/
 theorem support_sum {α : Type _} {s : Finset α} {f : α → MvPolynomial σ R} :
     (∑ x in s, f x).support ⊆ s.bunionᵢ fun x => (f x).support :=
   Finsupp.support_finset_sum
@@ -542,59 +940,122 @@ end Support
 
 section Coeff
 
+#print MvPolynomial.coeff /-
 /-- The coefficient of the monomial `m` in the multi-variable polynomial `p`. -/
 def coeff (m : σ →₀ ℕ) (p : MvPolynomial σ R) : R :=
   @coeFn _ _ (MonoidAlgebra.coeFun _ _) p m
 #align mv_polynomial.coeff MvPolynomial.coeff
+-/
 
+/- warning: mv_polynomial.mem_support_iff -> MvPolynomial.mem_support_iff is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {p : MvPolynomial.{u2, u1} σ R _inst_1} {m : Finsupp.{u2, 0} σ Nat Nat.hasZero}, Iff (Membership.Mem.{u2, u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finset.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (Finset.hasMem.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) m (MvPolynomial.support.{u1, u2} R σ _inst_1 p)) (Ne.{succ u1} R (MvPolynomial.coeff.{u1, u2} R σ _inst_1 m p) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))))))
+but is expected to have type
+  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] {p : MvPolynomial.{u1, u2} σ R _inst_1} {m : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)}, Iff (Membership.mem.{u1, u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (Finset.instMembershipFinset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) m (MvPolynomial.support.{u2, u1} R σ _inst_1 p)) (Ne.{succ u2} R (MvPolynomial.coeff.{u2, u1} R σ _inst_1 m p) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1)))))
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.mem_support_iff MvPolynomial.mem_support_iffₓ'. -/
 @[simp]
 theorem mem_support_iff {p : MvPolynomial σ R} {m : σ →₀ ℕ} : m ∈ p.support ↔ p.coeff m ≠ 0 := by
   simp [support, coeff]
 #align mv_polynomial.mem_support_iff MvPolynomial.mem_support_iff
 
+/- warning: mv_polynomial.not_mem_support_iff -> MvPolynomial.not_mem_support_iff is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {p : MvPolynomial.{u2, u1} σ R _inst_1} {m : Finsupp.{u2, 0} σ Nat Nat.hasZero}, Iff (Not (Membership.Mem.{u2, u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finset.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (Finset.hasMem.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) m (MvPolynomial.support.{u1, u2} R σ _inst_1 p))) (Eq.{succ u1} R (MvPolynomial.coeff.{u1, u2} R σ _inst_1 m p) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))))))
+but is expected to have type
+  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] {p : MvPolynomial.{u1, u2} σ R _inst_1} {m : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)}, Iff (Not (Membership.mem.{u1, u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (Finset.instMembershipFinset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) m (MvPolynomial.support.{u2, u1} R σ _inst_1 p))) (Eq.{succ u2} R (MvPolynomial.coeff.{u2, u1} R σ _inst_1 m p) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1)))))
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.not_mem_support_iff MvPolynomial.not_mem_support_iffₓ'. -/
 theorem not_mem_support_iff {p : MvPolynomial σ R} {m : σ →₀ ℕ} : m ∉ p.support ↔ p.coeff m = 0 :=
   by simp
 #align mv_polynomial.not_mem_support_iff MvPolynomial.not_mem_support_iff
 
+/- warning: mv_polynomial.sum_def -> MvPolynomial.sum_def is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {A : Type.{u3}} [_inst_3 : AddCommMonoid.{u3} A] {p : MvPolynomial.{u2, u1} σ R _inst_1} {b : (Finsupp.{u2, 0} σ Nat Nat.hasZero) -> R -> A}, Eq.{succ u3} A (Finsupp.sum.{u2, u1, u3} (Finsupp.{u2, 0} σ Nat Nat.hasZero) R A (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) _inst_3 p b) (Finset.sum.{u3, u2} A (Finsupp.{u2, 0} σ Nat Nat.hasZero) _inst_3 (MvPolynomial.support.{u1, u2} R σ _inst_1 p) (fun (m : Finsupp.{u2, 0} σ Nat Nat.hasZero) => b m (MvPolynomial.coeff.{u1, u2} R σ _inst_1 m p)))
+but is expected to have type
+  forall {R : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u3} R] {A : Type.{u2}} [_inst_3 : AddCommMonoid.{u2} A] {p : MvPolynomial.{u1, u3} σ R _inst_1} {b : (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) -> R -> A}, Eq.{succ u2} A (Finsupp.sum.{u1, u3, u2} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R A (MonoidWithZero.toZero.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) _inst_3 p b) (Finset.sum.{u2, u1} A (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) _inst_3 (MvPolynomial.support.{u3, u1} R σ _inst_1 p) (fun (m : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => b m (MvPolynomial.coeff.{u3, u1} R σ _inst_1 m p)))
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.sum_def MvPolynomial.sum_defₓ'. -/
 theorem sum_def {A} [AddCommMonoid A] {p : MvPolynomial σ R} {b : (σ →₀ ℕ) → R → A} :
     p.Sum b = ∑ m in p.support, b m (p.coeff m) := by simp [support, Finsupp.sum, coeff]
 #align mv_polynomial.sum_def MvPolynomial.sum_def
 
+/- warning: mv_polynomial.support_mul -> MvPolynomial.support_mul is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] (p : MvPolynomial.{u2, u1} σ R _inst_1) (q : MvPolynomial.{u2, u1} σ R _inst_1), HasSubset.Subset.{u2} (Finset.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (Finset.hasSubset.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (MvPolynomial.support.{u1, u2} R σ _inst_1 (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Distrib.toHasMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))) p q)) (Finset.bunionᵢ.{u2, u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.{u2, 0} σ Nat Nat.hasZero) (fun (a : Finsupp.{u2, 0} σ Nat Nat.hasZero) (b : Finsupp.{u2, 0} σ Nat Nat.hasZero) => Finsupp.decidableEq.{u2, 0} σ Nat Nat.hasZero (fun (a : σ) (b : σ) => Classical.propDecidable (Eq.{succ u2} σ a b)) (fun (a : Nat) (b : Nat) => Nat.decidableEq a b) a b) (MvPolynomial.support.{u1, u2} R σ _inst_1 p) (fun (a : Finsupp.{u2, 0} σ Nat Nat.hasZero) => Finset.bunionᵢ.{u2, u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.{u2, 0} σ Nat Nat.hasZero) (fun (a : Finsupp.{u2, 0} σ Nat Nat.hasZero) (b : Finsupp.{u2, 0} σ Nat Nat.hasZero) => Finsupp.decidableEq.{u2, 0} σ Nat Nat.hasZero (fun (a : σ) (b : σ) => Classical.propDecidable (Eq.{succ u2} σ a b)) (fun (a : Nat) (b : Nat) => Nat.decidableEq a b) a b) (MvPolynomial.support.{u1, u2} R σ _inst_1 q) (fun (b : Finsupp.{u2, 0} σ Nat Nat.hasZero) => Singleton.singleton.{u2, u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finset.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (Finset.hasSingleton.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (HAdd.hAdd.{u2, u2, u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.{u2, 0} σ Nat Nat.hasZero) (instHAdd.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.add.{u2, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid))) a b))))
+but is expected to have type
+  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] (p : MvPolynomial.{u1, u2} σ R _inst_1) (q : MvPolynomial.{u1, u2} σ R _inst_1), HasSubset.Subset.{u1} (Finset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (Finset.instHasSubsetFinset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (MvPolynomial.support.{u2, u1} R σ _inst_1 (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) p q)) (Finset.bunionᵢ.{u1, u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (fun (a : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (b : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => Finsupp.decidableEq.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) (fun (a : σ) (b : σ) => Classical.propDecidable (Eq.{succ u1} σ a b)) (fun (a : Nat) (b : Nat) => instDecidableEqNat a b) a b) (MvPolynomial.support.{u2, u1} R σ _inst_1 p) (fun (a : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => Finset.bunionᵢ.{u1, u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (fun (a : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (b : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => Finsupp.decidableEq.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) (fun (a : σ) (b : σ) => Classical.propDecidable (Eq.{succ u1} σ a b)) (fun (a : Nat) (b : Nat) => instDecidableEqNat a b) a b) (MvPolynomial.support.{u2, u1} R σ _inst_1 q) (fun (b : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => Singleton.singleton.{u1, u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (Finset.instSingletonFinset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (HAdd.hAdd.{u1, u1, u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (instHAdd.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.add.{u1, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid))) a b))))
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.support_mul MvPolynomial.support_mulₓ'. -/
 theorem support_mul (p q : MvPolynomial σ R) :
     (p * q).support ⊆ p.support.bunionᵢ fun a => q.support.bunionᵢ fun b => {a + b} := by
   convert AddMonoidAlgebra.support_mul p q <;> ext <;> convert Iff.rfl
 #align mv_polynomial.support_mul MvPolynomial.support_mul
 
+/- warning: mv_polynomial.ext -> MvPolynomial.ext is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] (p : MvPolynomial.{u2, u1} σ R _inst_1) (q : MvPolynomial.{u2, u1} σ R _inst_1), (forall (m : Finsupp.{u2, 0} σ Nat Nat.hasZero), Eq.{succ u1} R (MvPolynomial.coeff.{u1, u2} R σ _inst_1 m p) (MvPolynomial.coeff.{u1, u2} R σ _inst_1 m q)) -> (Eq.{max (succ u2) (succ u1)} (MvPolynomial.{u2, u1} σ R _inst_1) p q)
+but is expected to have type
+  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] (p : MvPolynomial.{u1, u2} σ R _inst_1) (q : MvPolynomial.{u1, u2} σ R _inst_1), (forall (m : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)), Eq.{succ u2} R (MvPolynomial.coeff.{u2, u1} R σ _inst_1 m p) (MvPolynomial.coeff.{u2, u1} R σ _inst_1 m q)) -> (Eq.{max (succ u2) (succ u1)} (MvPolynomial.{u1, u2} σ R _inst_1) p q)
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.ext MvPolynomial.extₓ'. -/
 @[ext]
 theorem ext (p q : MvPolynomial σ R) : (∀ m, coeff m p = coeff m q) → p = q :=
   ext
 #align mv_polynomial.ext MvPolynomial.ext
 
+/- warning: mv_polynomial.ext_iff -> MvPolynomial.ext_iff is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] (p : MvPolynomial.{u2, u1} σ R _inst_1) (q : MvPolynomial.{u2, u1} σ R _inst_1), Iff (Eq.{max (succ u2) (succ u1)} (MvPolynomial.{u2, u1} σ R _inst_1) p q) (forall (m : Finsupp.{u2, 0} σ Nat Nat.hasZero), Eq.{succ u1} R (MvPolynomial.coeff.{u1, u2} R σ _inst_1 m p) (MvPolynomial.coeff.{u1, u2} R σ _inst_1 m q))
+but is expected to have type
+  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] (p : MvPolynomial.{u1, u2} σ R _inst_1) (q : MvPolynomial.{u1, u2} σ R _inst_1), Iff (Eq.{max (succ u2) (succ u1)} (MvPolynomial.{u1, u2} σ R _inst_1) p q) (forall (m : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)), Eq.{succ u2} R (MvPolynomial.coeff.{u2, u1} R σ _inst_1 m p) (MvPolynomial.coeff.{u2, u1} R σ _inst_1 m q))
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.ext_iff MvPolynomial.ext_iffₓ'. -/
 theorem ext_iff (p q : MvPolynomial σ R) : p = q ↔ ∀ m, coeff m p = coeff m q :=
   ⟨fun h m => by rw [h], ext p q⟩
 #align mv_polynomial.ext_iff MvPolynomial.ext_iff
 
+/- warning: mv_polynomial.coeff_add -> MvPolynomial.coeff_add is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] (m : Finsupp.{u2, 0} σ Nat Nat.hasZero) (p : MvPolynomial.{u2, u1} σ R _inst_1) (q : MvPolynomial.{u2, u1} σ R _inst_1), Eq.{succ u1} R (MvPolynomial.coeff.{u1, u2} R σ _inst_1 m (HAdd.hAdd.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (instHAdd.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Distrib.toHasAdd.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))) p q)) (HAdd.hAdd.{u1, u1, u1} R R R (instHAdd.{u1} R (Distrib.toHasAdd.{u1} R (NonUnitalNonAssocSemiring.toDistrib.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))) (MvPolynomial.coeff.{u1, u2} R σ _inst_1 m p) (MvPolynomial.coeff.{u1, u2} R σ _inst_1 m q))
+but is expected to have type
+  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] (m : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (p : MvPolynomial.{u1, u2} σ R _inst_1) (q : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{succ u2} R (MvPolynomial.coeff.{u2, u1} R σ _inst_1 m (HAdd.hAdd.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (instHAdd.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Distrib.toAdd.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) p q)) (HAdd.hAdd.{u2, u2, u2} R R R (instHAdd.{u2} R (Distrib.toAdd.{u2} R (NonUnitalNonAssocSemiring.toDistrib.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))))) (MvPolynomial.coeff.{u2, u1} R σ _inst_1 m p) (MvPolynomial.coeff.{u2, u1} R σ _inst_1 m q))
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.coeff_add MvPolynomial.coeff_addₓ'. -/
 @[simp]
 theorem coeff_add (m : σ →₀ ℕ) (p q : MvPolynomial σ R) : coeff m (p + q) = coeff m p + coeff m q :=
   add_apply p q m
 #align mv_polynomial.coeff_add MvPolynomial.coeff_add
 
+/- warning: mv_polynomial.coeff_smul -> MvPolynomial.coeff_smul is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {S₁ : Type.{u3}} [_inst_3 : Monoid.{u3} S₁] [_inst_4 : DistribMulAction.{u3, u1} S₁ R _inst_3 (AddMonoidWithOne.toAddMonoid.{u1} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} R (NonAssocSemiring.toAddCommMonoidWithOne.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))] (m : Finsupp.{u2, 0} σ Nat Nat.hasZero) (c : S₁) (p : MvPolynomial.{u2, u1} σ R _inst_1), Eq.{succ u1} R (MvPolynomial.coeff.{u1, u2} R σ _inst_1 m (SMul.smul.{u3, max u2 u1} S₁ (MvPolynomial.{u2, u1} σ R _inst_1) (SMulZeroClass.toHasSmul.{u3, max u2 u1} S₁ (MvPolynomial.{u2, u1} σ R _inst_1) (AddZeroClass.toHasZero.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (AddMonoidWithOne.toAddMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (AddCommMonoidWithOne.toAddMonoidWithOne.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toAddCommMonoidWithOne.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))))))) (DistribSMul.toSmulZeroClass.{u3, max u2 u1} S₁ (MvPolynomial.{u2, u1} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (AddMonoidWithOne.toAddMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (AddCommMonoidWithOne.toAddMonoidWithOne.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toAddCommMonoidWithOne.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))) (DistribMulAction.toDistribSMul.{u3, max u2 u1} S₁ (MvPolynomial.{u2, u1} σ R _inst_1) _inst_3 (AddMonoidWithOne.toAddMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (AddCommMonoidWithOne.toAddMonoidWithOne.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toAddCommMonoidWithOne.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))))) (MvPolynomial.distribMulAction.{u3, u1, u2} S₁ R σ _inst_3 _inst_1 _inst_4)))) c p)) (SMul.smul.{u3, u1} S₁ R (SMulZeroClass.toHasSmul.{u3, u1} S₁ R (AddZeroClass.toHasZero.{u1} R (AddMonoid.toAddZeroClass.{u1} R (AddMonoidWithOne.toAddMonoid.{u1} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} R (NonAssocSemiring.toAddCommMonoidWithOne.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))))) (DistribSMul.toSmulZeroClass.{u3, u1} S₁ R (AddMonoid.toAddZeroClass.{u1} R (AddMonoidWithOne.toAddMonoid.{u1} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} R (NonAssocSemiring.toAddCommMonoidWithOne.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))) (DistribMulAction.toDistribSMul.{u3, u1} S₁ R _inst_3 (AddMonoidWithOne.toAddMonoid.{u1} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} R (NonAssocSemiring.toAddCommMonoidWithOne.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) _inst_4))) c (MvPolynomial.coeff.{u1, u2} R σ _inst_1 m p))
+but is expected to have type
+  forall {R : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u3} R] {S₁ : Type.{u2}} [_inst_3 : Monoid.{u2} S₁] [_inst_4 : DistribMulAction.{u2, u3} S₁ R _inst_3 (AddMonoidWithOne.toAddMonoid.{u3} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u3} R (NonAssocSemiring.toAddCommMonoidWithOne.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))))] (m : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (c : S₁) (p : MvPolynomial.{u1, u3} σ R _inst_1), Eq.{succ u3} R (MvPolynomial.coeff.{u3, u1} R σ _inst_1 m (HSMul.hSMul.{u2, max u3 u1, max u3 u1} S₁ (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.{u1, u3} σ R _inst_1) (instHSMul.{u2, max u3 u1} S₁ (MvPolynomial.{u1, u3} σ R _inst_1) (SMulZeroClass.toSMul.{u2, max u3 u1} S₁ (MvPolynomial.{u1, u3} σ R _inst_1) (CommMonoidWithZero.toZero.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toCommMonoidWithZero.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (DistribSMul.toSMulZeroClass.{u2, max u3 u1} S₁ (MvPolynomial.{u1, u3} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (AddMonoidWithOne.toAddMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (AddCommMonoidWithOne.toAddMonoidWithOne.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toAddCommMonoidWithOne.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))))) (DistribMulAction.toDistribSMul.{u2, max u3 u1} S₁ (MvPolynomial.{u1, u3} σ R _inst_1) _inst_3 (AddMonoidWithOne.toAddMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (AddCommMonoidWithOne.toAddMonoidWithOne.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toAddCommMonoidWithOne.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))))) (MvPolynomial.distribuMulAction.{u2, u3, u1} S₁ R σ _inst_3 _inst_1 _inst_4))))) c p)) (HSMul.hSMul.{u2, u3, u3} S₁ R R (instHSMul.{u2, u3} S₁ R (SMulZeroClass.toSMul.{u2, u3} S₁ R (CommMonoidWithZero.toZero.{u3} R (CommSemiring.toCommMonoidWithZero.{u3} R _inst_1)) (DistribSMul.toSMulZeroClass.{u2, u3} S₁ R (AddMonoid.toAddZeroClass.{u3} R (AddMonoidWithOne.toAddMonoid.{u3} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u3} R (NonAssocSemiring.toAddCommMonoidWithOne.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))))) (DistribMulAction.toDistribSMul.{u2, u3} S₁ R _inst_3 (AddMonoidWithOne.toAddMonoid.{u3} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u3} R (NonAssocSemiring.toAddCommMonoidWithOne.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))))) _inst_4)))) c (MvPolynomial.coeff.{u3, u1} R σ _inst_1 m p))
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.coeff_smul MvPolynomial.coeff_smulₓ'. -/
 @[simp]
 theorem coeff_smul {S₁ : Type _} [Monoid S₁] [DistribMulAction S₁ R] (m : σ →₀ ℕ) (c : S₁)
     (p : MvPolynomial σ R) : coeff m (c • p) = c • coeff m p :=
   smul_apply c p m
 #align mv_polynomial.coeff_smul MvPolynomial.coeff_smul
 
+/- warning: mv_polynomial.coeff_zero -> MvPolynomial.coeff_zero is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] (m : Finsupp.{u2, 0} σ Nat Nat.hasZero), Eq.{succ u1} R (MvPolynomial.coeff.{u1, u2} R σ _inst_1 m (OfNat.ofNat.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) 0 (OfNat.mk.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) 0 (Zero.zero.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MulZeroClass.toHasZero.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toMulZeroClass.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))))))
+but is expected to have type
+  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] (m : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)), Eq.{succ u2} R (MvPolynomial.coeff.{u2, u1} R σ _inst_1 m (OfNat.ofNat.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) 0 (Zero.toOfNat0.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommMonoidWithZero.toZero.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toCommMonoidWithZero.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))))
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.coeff_zero MvPolynomial.coeff_zeroₓ'. -/
 @[simp]
 theorem coeff_zero (m : σ →₀ ℕ) : coeff m (0 : MvPolynomial σ R) = 0 :=
   rfl
 #align mv_polynomial.coeff_zero MvPolynomial.coeff_zero
 
+/- warning: mv_polynomial.coeff_zero_X -> MvPolynomial.coeff_zero_X is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] (i : σ), Eq.{succ u1} R (MvPolynomial.coeff.{u1, u2} R σ _inst_1 (OfNat.ofNat.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) 0 (OfNat.mk.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) 0 (Zero.zero.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.zero.{u2, 0} σ Nat Nat.hasZero)))) (MvPolynomial.X.{u1, u2} R σ _inst_1 i)) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))))))
+but is expected to have type
+  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] (i : σ), Eq.{succ u2} R (MvPolynomial.coeff.{u2, u1} R σ _inst_1 (OfNat.ofNat.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) 0 (Zero.toOfNat0.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.zero.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)))) (MvPolynomial.X.{u2, u1} R σ _inst_1 i)) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))))
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.coeff_zero_X MvPolynomial.coeff_zero_Xₓ'. -/
 @[simp]
-theorem coeff_zero_x (i : σ) : coeff 0 (x i : MvPolynomial σ R) = 0 :=
+theorem coeff_zero_X (i : σ) : coeff 0 (X i : MvPolynomial σ R) = 0 :=
   single_eq_of_ne fun h => by cases single_eq_zero.1 h
-#align mv_polynomial.coeff_zero_X MvPolynomial.coeff_zero_x
+#align mv_polynomial.coeff_zero_X MvPolynomial.coeff_zero_X
 
+#print MvPolynomial.coeffAddMonoidHom /-
 /-- `mv_polynomial.coeff m` but promoted to an `add_monoid_hom`. -/
 @[simps]
 def coeffAddMonoidHom (m : σ →₀ ℕ) : MvPolynomial σ R →+ R
@@ -603,110 +1064,225 @@ def coeffAddMonoidHom (m : σ →₀ ℕ) : MvPolynomial σ R →+ R
   map_zero' := coeff_zero m
   map_add' := coeff_add m
 #align mv_polynomial.coeff_add_monoid_hom MvPolynomial.coeffAddMonoidHom
+-/
 
+/- warning: mv_polynomial.coeff_sum -> MvPolynomial.coeff_sum is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {X : Type.{u3}} (s : Finset.{u3} X) (f : X -> (MvPolynomial.{u2, u1} σ R _inst_1)) (m : Finsupp.{u2, 0} σ Nat Nat.hasZero), Eq.{succ u1} R (MvPolynomial.coeff.{u1, u2} R σ _inst_1 m (Finset.sum.{max u2 u1, u3} (MvPolynomial.{u2, u1} σ R _inst_1) X (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) s (fun (x : X) => f x))) (Finset.sum.{u1, u3} R X (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) s (fun (x : X) => MvPolynomial.coeff.{u1, u2} R σ _inst_1 m (f x)))
+but is expected to have type
+  forall {R : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u3} R] {X : Type.{u2}} (s : Finset.{u2} X) (f : X -> (MvPolynomial.{u1, u3} σ R _inst_1)) (m : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)), Eq.{succ u3} R (MvPolynomial.coeff.{u3, u1} R σ _inst_1 m (Finset.sum.{max u1 u3, u2} (MvPolynomial.{u1, u3} σ R _inst_1) X (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) s (fun (x : X) => f x))) (Finset.sum.{u3, u2} R X (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) s (fun (x : X) => MvPolynomial.coeff.{u3, u1} R σ _inst_1 m (f x)))
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.coeff_sum MvPolynomial.coeff_sumₓ'. -/
 theorem coeff_sum {X : Type _} (s : Finset X) (f : X → MvPolynomial σ R) (m : σ →₀ ℕ) :
     coeff m (∑ x in s, f x) = ∑ x in s, coeff m (f x) :=
   (@coeffAddMonoidHom R σ _ _).map_sum _ s
 #align mv_polynomial.coeff_sum MvPolynomial.coeff_sum
 
+/- warning: mv_polynomial.monic_monomial_eq -> MvPolynomial.monic_monomial_eq is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] (m : Finsupp.{u2, 0} σ Nat Nat.hasZero), Eq.{max (succ u2) (succ u1)} (MvPolynomial.{u2, u1} σ R _inst_1) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 m) (OfNat.ofNat.{u1} R 1 (OfNat.mk.{u1} R 1 (One.one.{u1} R (AddMonoidWithOne.toOne.{u1} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} R (NonAssocSemiring.toAddCommMonoidWithOne.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))))))) (Finsupp.prod.{u2, 0, max u2 u1} σ Nat (MvPolynomial.{u2, u1} σ R _inst_1) Nat.hasZero (CommSemiring.toCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) m (fun (n : σ) (e : Nat) => HPow.hPow.{max u2 u1, 0, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) Nat (MvPolynomial.{u2, u1} σ R _inst_1) (instHPow.{max u2 u1, 0} (MvPolynomial.{u2, u1} σ R _inst_1) Nat (Monoid.Pow.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MonoidWithZero.toMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toMonoidWithZero.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))))) (MvPolynomial.X.{u1, u2} R σ _inst_1 n) e))
+but is expected to have type
+  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] (m : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)), Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) (OfNat.ofNat.{u2} R 1 (One.toOfNat1.{u2} R (Semiring.toOne.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 m) (OfNat.ofNat.{u2} R 1 (One.toOfNat1.{u2} R (Semiring.toOne.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) (Finsupp.prod.{u1, 0, max u2 u1} σ Nat (MvPolynomial.{u1, u2} σ R _inst_1) (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) (CommSemiring.toCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) m (fun (n : σ) (e : Nat) => HPow.hPow.{max u1 u2, 0, max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) Nat (MvPolynomial.{u1, u2} σ R _inst_1) (instHPow.{max u1 u2, 0} (MvPolynomial.{u1, u2} σ R _inst_1) Nat (Monoid.Pow.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MonoidWithZero.toMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toMonoidWithZero.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (MvPolynomial.X.{u2, u1} R σ _inst_1 n) e))
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.monic_monomial_eq MvPolynomial.monic_monomial_eqₓ'. -/
 theorem monic_monomial_eq (m) :
-    monomial m (1 : R) = (m.Prod fun n e => x n ^ e : MvPolynomial σ R) := by simp [monomial_eq]
+    monomial m (1 : R) = (m.Prod fun n e => X n ^ e : MvPolynomial σ R) := by simp [monomial_eq]
 #align mv_polynomial.monic_monomial_eq MvPolynomial.monic_monomial_eq
 
+/- warning: mv_polynomial.coeff_monomial -> MvPolynomial.coeff_monomial is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_3 : DecidableEq.{succ u2} σ] (m : Finsupp.{u2, 0} σ Nat Nat.hasZero) (n : Finsupp.{u2, 0} σ Nat Nat.hasZero) (a : R), Eq.{succ u1} R (MvPolynomial.coeff.{u1, u2} R σ _inst_1 m (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 n) a)) (ite.{succ u1} R (Eq.{succ u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) n m) (Finsupp.decidableEq.{u2, 0} σ Nat Nat.hasZero (fun (a : σ) (b : σ) => _inst_3 a b) (fun (a : Nat) (b : Nat) => Nat.decidableEq a b) n m) a (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))))))
+but is expected to have type
+  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_3 : DecidableEq.{succ u1} σ] (m : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (n : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (a : R), Eq.{succ u2} R (MvPolynomial.coeff.{u2, u1} R σ _inst_1 m (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 n) a)) (ite.{succ u2} R (Eq.{succ u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) n m) (Finsupp.decidableEq.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) (fun (a : σ) (b : σ) => _inst_3 a b) (fun (a : Nat) (b : Nat) => instDecidableEqNat a b) n m) a (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1)))))
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.coeff_monomial MvPolynomial.coeff_monomialₓ'. -/
 @[simp]
 theorem coeff_monomial [DecidableEq σ] (m n) (a) :
     coeff m (monomial n a : MvPolynomial σ R) = if n = m then a else 0 :=
   single_apply
 #align mv_polynomial.coeff_monomial MvPolynomial.coeff_monomial
 
+/- warning: mv_polynomial.coeff_C -> MvPolynomial.coeff_C is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_3 : DecidableEq.{succ u2} σ] (m : Finsupp.{u2, 0} σ Nat Nat.hasZero) (a : R), Eq.{succ u1} R (MvPolynomial.coeff.{u1, u2} R σ _inst_1 m (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (fun (_x : RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (MvPolynomial.C.{u1, u2} R σ _inst_1) a)) (ite.{succ u1} R (Eq.{succ u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (OfNat.ofNat.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) 0 (OfNat.mk.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) 0 (Zero.zero.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.zero.{u2, 0} σ Nat Nat.hasZero)))) m) (Finsupp.decidableEq.{u2, 0} σ Nat Nat.hasZero (fun (a : σ) (b : σ) => _inst_3 a b) (fun (a : Nat) (b : Nat) => Nat.decidableEq a b) (OfNat.ofNat.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) 0 (OfNat.mk.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) 0 (Zero.zero.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.zero.{u2, 0} σ Nat Nat.hasZero)))) m) a (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))))))
+but is expected to have type
+  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_3 : DecidableEq.{succ u1} σ] (m : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (a : R), Eq.{succ u2} R (MvPolynomial.coeff.{u2, u1} R σ _inst_1 m (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) a)) (ite.{succ u2} R (Eq.{succ u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (OfNat.ofNat.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) 0 (Zero.toOfNat0.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.zero.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)))) m) (Finsupp.decidableEq.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) (fun (a : σ) (b : σ) => _inst_3 a b) (fun (a : Nat) (b : Nat) => instDecidableEqNat a b) (OfNat.ofNat.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) 0 (Zero.toOfNat0.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.zero.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)))) m) a (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1)))))
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.coeff_C MvPolynomial.coeff_Cₓ'. -/
 @[simp]
-theorem coeff_c [DecidableEq σ] (m) (a) :
-    coeff m (c a : MvPolynomial σ R) = if 0 = m then a else 0 :=
+theorem coeff_C [DecidableEq σ] (m) (a) :
+    coeff m (C a : MvPolynomial σ R) = if 0 = m then a else 0 :=
   single_apply
-#align mv_polynomial.coeff_C MvPolynomial.coeff_c
-
+#align mv_polynomial.coeff_C MvPolynomial.coeff_C
+
+/- warning: mv_polynomial.coeff_one -> MvPolynomial.coeff_one is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_3 : DecidableEq.{succ u2} σ] (m : Finsupp.{u2, 0} σ Nat Nat.hasZero), Eq.{succ u1} R (MvPolynomial.coeff.{u1, u2} R σ _inst_1 m (OfNat.ofNat.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) 1 (OfNat.mk.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) 1 (One.one.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (AddMonoidWithOne.toOne.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (AddCommMonoidWithOne.toAddMonoidWithOne.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toAddCommMonoidWithOne.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))))))))) (ite.{succ u1} R (Eq.{succ u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (OfNat.ofNat.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) 0 (OfNat.mk.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) 0 (Zero.zero.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.zero.{u2, 0} σ Nat Nat.hasZero)))) m) (Finsupp.decidableEq.{u2, 0} σ Nat Nat.hasZero (fun (a : σ) (b : σ) => _inst_3 a b) (fun (a : Nat) (b : Nat) => Nat.decidableEq a b) (OfNat.ofNat.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) 0 (OfNat.mk.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) 0 (Zero.zero.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.zero.{u2, 0} σ Nat Nat.hasZero)))) m) (OfNat.ofNat.{u1} R 1 (OfNat.mk.{u1} R 1 (One.one.{u1} R (AddMonoidWithOne.toOne.{u1} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} R (NonAssocSemiring.toAddCommMonoidWithOne.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))))))
+but is expected to have type
+  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_3 : DecidableEq.{succ u1} σ] (m : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)), Eq.{succ u2} R (MvPolynomial.coeff.{u2, u1} R σ _inst_1 m (OfNat.ofNat.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) 1 (One.toOfNat1.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toOne.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (ite.{succ u2} R (Eq.{succ u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (OfNat.ofNat.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) 0 (Zero.toOfNat0.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.zero.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)))) m) (Finsupp.decidableEq.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) (fun (a : σ) (b : σ) => _inst_3 a b) (fun (a : Nat) (b : Nat) => instDecidableEqNat a b) (OfNat.ofNat.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) 0 (Zero.toOfNat0.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.zero.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)))) m) (OfNat.ofNat.{u2} R 1 (One.toOfNat1.{u2} R (Semiring.toOne.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1)))))
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.coeff_one MvPolynomial.coeff_oneₓ'. -/
 theorem coeff_one [DecidableEq σ] (m) : coeff m (1 : MvPolynomial σ R) = if 0 = m then 1 else 0 :=
-  coeff_c m 1
+  coeff_C m 1
 #align mv_polynomial.coeff_one MvPolynomial.coeff_one
 
+/- warning: mv_polynomial.coeff_zero_C -> MvPolynomial.coeff_zero_C is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] (a : R), Eq.{succ u1} R (MvPolynomial.coeff.{u1, u2} R σ _inst_1 (OfNat.ofNat.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) 0 (OfNat.mk.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) 0 (Zero.zero.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.zero.{u2, 0} σ Nat Nat.hasZero)))) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (fun (_x : RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (MvPolynomial.C.{u1, u2} R σ _inst_1) a)) a
+but is expected to have type
+  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] (a : R), Eq.{succ u2} R (MvPolynomial.coeff.{u2, u1} R σ _inst_1 (OfNat.ofNat.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) 0 (Zero.toOfNat0.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.zero.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)))) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) a)) a
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.coeff_zero_C MvPolynomial.coeff_zero_Cₓ'. -/
 @[simp]
-theorem coeff_zero_c (a) : coeff 0 (c a : MvPolynomial σ R) = a :=
+theorem coeff_zero_C (a) : coeff 0 (C a : MvPolynomial σ R) = a :=
   single_eq_same
-#align mv_polynomial.coeff_zero_C MvPolynomial.coeff_zero_c
+#align mv_polynomial.coeff_zero_C MvPolynomial.coeff_zero_C
 
+/- warning: mv_polynomial.coeff_zero_one -> MvPolynomial.coeff_zero_one is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R], Eq.{succ u1} R (MvPolynomial.coeff.{u1, u2} R σ _inst_1 (OfNat.ofNat.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) 0 (OfNat.mk.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) 0 (Zero.zero.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.zero.{u2, 0} σ Nat Nat.hasZero)))) (OfNat.ofNat.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) 1 (OfNat.mk.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) 1 (One.one.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (AddMonoidWithOne.toOne.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (AddCommMonoidWithOne.toAddMonoidWithOne.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toAddCommMonoidWithOne.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))))))))) (OfNat.ofNat.{u1} R 1 (OfNat.mk.{u1} R 1 (One.one.{u1} R (AddMonoidWithOne.toOne.{u1} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} R (NonAssocSemiring.toAddCommMonoidWithOne.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))))))
+but is expected to have type
+  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R], Eq.{succ u2} R (MvPolynomial.coeff.{u2, u1} R σ _inst_1 (OfNat.ofNat.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) 0 (Zero.toOfNat0.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.zero.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)))) (OfNat.ofNat.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) 1 (One.toOfNat1.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toOne.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (OfNat.ofNat.{u2} R 1 (One.toOfNat1.{u2} R (Semiring.toOne.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.coeff_zero_one MvPolynomial.coeff_zero_oneₓ'. -/
 @[simp]
 theorem coeff_zero_one : coeff 0 (1 : MvPolynomial σ R) = 1 :=
-  coeff_zero_c 1
+  coeff_zero_C 1
 #align mv_polynomial.coeff_zero_one MvPolynomial.coeff_zero_one
 
-theorem coeff_x_pow [DecidableEq σ] (i : σ) (m) (k : ℕ) :
-    coeff m (x i ^ k : MvPolynomial σ R) = if single i k = m then 1 else 0 :=
+/- warning: mv_polynomial.coeff_X_pow -> MvPolynomial.coeff_X_pow is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_3 : DecidableEq.{succ u2} σ] (i : σ) (m : Finsupp.{u2, 0} σ Nat Nat.hasZero) (k : Nat), Eq.{succ u1} R (MvPolynomial.coeff.{u1, u2} R σ _inst_1 m (HPow.hPow.{max u2 u1, 0, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) Nat (MvPolynomial.{u2, u1} σ R _inst_1) (instHPow.{max u2 u1, 0} (MvPolynomial.{u2, u1} σ R _inst_1) Nat (Monoid.Pow.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MonoidWithZero.toMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toMonoidWithZero.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))))) (MvPolynomial.X.{u1, u2} R σ _inst_1 i) k)) (ite.{succ u1} R (Eq.{succ u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.single.{u2, 0} σ Nat Nat.hasZero i k) m) (Finsupp.decidableEq.{u2, 0} σ Nat Nat.hasZero (fun (a : σ) (b : σ) => _inst_3 a b) (fun (a : Nat) (b : Nat) => Nat.decidableEq a b) (Finsupp.single.{u2, 0} σ Nat Nat.hasZero i k) m) (OfNat.ofNat.{u1} R 1 (OfNat.mk.{u1} R 1 (One.one.{u1} R (AddMonoidWithOne.toOne.{u1} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} R (NonAssocSemiring.toAddCommMonoidWithOne.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))))))
+but is expected to have type
+  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_3 : DecidableEq.{succ u1} σ] (i : σ) (m : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (k : Nat), Eq.{succ u2} R (MvPolynomial.coeff.{u2, u1} R σ _inst_1 m (HPow.hPow.{max u1 u2, 0, max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) Nat (MvPolynomial.{u1, u2} σ R _inst_1) (instHPow.{max u1 u2, 0} (MvPolynomial.{u1, u2} σ R _inst_1) Nat (Monoid.Pow.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MonoidWithZero.toMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toMonoidWithZero.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (MvPolynomial.X.{u2, u1} R σ _inst_1 i) k)) (ite.{succ u2} R (Eq.{succ u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.single.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) i k) m) (Finsupp.decidableEq.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) (fun (a : σ) (b : σ) => _inst_3 a b) (fun (a : Nat) (b : Nat) => instDecidableEqNat a b) (Finsupp.single.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) i k) m) (OfNat.ofNat.{u2} R 1 (One.toOfNat1.{u2} R (Semiring.toOne.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1)))))
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.coeff_X_pow MvPolynomial.coeff_X_powₓ'. -/
+theorem coeff_X_pow [DecidableEq σ] (i : σ) (m) (k : ℕ) :
+    coeff m (X i ^ k : MvPolynomial σ R) = if single i k = m then 1 else 0 :=
   by
   have := coeff_monomial m (Finsupp.single i k) (1 : R)
   rwa [@monomial_eq _ _ (1 : R) (Finsupp.single i k) _, C_1, one_mul, Finsupp.prod_single_index] at
     this
   exact pow_zero _
-#align mv_polynomial.coeff_X_pow MvPolynomial.coeff_x_pow
-
+#align mv_polynomial.coeff_X_pow MvPolynomial.coeff_X_pow
+
+/- warning: mv_polynomial.coeff_X' -> MvPolynomial.coeff_X' is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_3 : DecidableEq.{succ u2} σ] (i : σ) (m : Finsupp.{u2, 0} σ Nat Nat.hasZero), Eq.{succ u1} R (MvPolynomial.coeff.{u1, u2} R σ _inst_1 m (MvPolynomial.X.{u1, u2} R σ _inst_1 i)) (ite.{succ u1} R (Eq.{succ u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.single.{u2, 0} σ Nat Nat.hasZero i (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne)))) m) (Finsupp.decidableEq.{u2, 0} σ Nat Nat.hasZero (fun (a : σ) (b : σ) => _inst_3 a b) (fun (a : Nat) (b : Nat) => Nat.decidableEq a b) (Finsupp.single.{u2, 0} σ Nat Nat.hasZero i (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne)))) m) (OfNat.ofNat.{u1} R 1 (OfNat.mk.{u1} R 1 (One.one.{u1} R (AddMonoidWithOne.toOne.{u1} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} R (NonAssocSemiring.toAddCommMonoidWithOne.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))))))
+but is expected to have type
+  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_3 : DecidableEq.{succ u1} σ] (i : σ) (m : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)), Eq.{succ u2} R (MvPolynomial.coeff.{u2, u1} R σ _inst_1 m (MvPolynomial.X.{u2, u1} R σ _inst_1 i)) (ite.{succ u2} R (Eq.{succ u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.single.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) i (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))) m) (Finsupp.decidableEq.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) (fun (a : σ) (b : σ) => _inst_3 a b) (fun (a : Nat) (b : Nat) => instDecidableEqNat a b) (Finsupp.single.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) i (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))) m) (OfNat.ofNat.{u2} R 1 (One.toOfNat1.{u2} R (Semiring.toOne.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1)))))
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.coeff_X' MvPolynomial.coeff_X'ₓ'. -/
 theorem coeff_X' [DecidableEq σ] (i : σ) (m) :
-    coeff m (x i : MvPolynomial σ R) = if single i 1 = m then 1 else 0 := by
+    coeff m (X i : MvPolynomial σ R) = if single i 1 = m then 1 else 0 := by
   rw [← coeff_X_pow, pow_one]
 #align mv_polynomial.coeff_X' MvPolynomial.coeff_X'
 
+/- warning: mv_polynomial.coeff_X -> MvPolynomial.coeff_X is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] (i : σ), Eq.{succ u1} R (MvPolynomial.coeff.{u1, u2} R σ _inst_1 (Finsupp.single.{u2, 0} σ Nat Nat.hasZero i (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne)))) (MvPolynomial.X.{u1, u2} R σ _inst_1 i)) (OfNat.ofNat.{u1} R 1 (OfNat.mk.{u1} R 1 (One.one.{u1} R (AddMonoidWithOne.toOne.{u1} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} R (NonAssocSemiring.toAddCommMonoidWithOne.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))))))
+but is expected to have type
+  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] (i : σ), Eq.{succ u2} R (MvPolynomial.coeff.{u2, u1} R σ _inst_1 (Finsupp.single.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) i (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))) (MvPolynomial.X.{u2, u1} R σ _inst_1 i)) (OfNat.ofNat.{u2} R 1 (One.toOfNat1.{u2} R (Semiring.toOne.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.coeff_X MvPolynomial.coeff_Xₓ'. -/
 @[simp]
-theorem coeff_x (i : σ) : coeff (single i 1) (x i : MvPolynomial σ R) = 1 := by
+theorem coeff_X (i : σ) : coeff (single i 1) (X i : MvPolynomial σ R) = 1 := by
   rw [coeff_X', if_pos rfl]
-#align mv_polynomial.coeff_X MvPolynomial.coeff_x
+#align mv_polynomial.coeff_X MvPolynomial.coeff_X
 
+/- warning: mv_polynomial.coeff_C_mul -> MvPolynomial.coeff_C_mul is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] (m : Finsupp.{u2, 0} σ Nat Nat.hasZero) (a : R) (p : MvPolynomial.{u2, u1} σ R _inst_1), Eq.{succ u1} R (MvPolynomial.coeff.{u1, u2} R σ _inst_1 m (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Distrib.toHasMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (fun (_x : RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (MvPolynomial.C.{u1, u2} R σ _inst_1) a) p)) (HMul.hMul.{u1, u1, u1} R R R (instHMul.{u1} R (Distrib.toHasMul.{u1} R (NonUnitalNonAssocSemiring.toDistrib.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))) a (MvPolynomial.coeff.{u1, u2} R σ _inst_1 m p))
+but is expected to have type
+  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] (m : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (a : R) (p : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{succ u2} R (MvPolynomial.coeff.{u2, u1} R σ _inst_1 m (HMul.hMul.{max u2 u1, max u2 u1, max u1 u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (instHMul.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (Semiring.toNonAssocSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (CommSemiring.toSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) a) p)) (HMul.hMul.{u2, u2, u2} R R R (instHMul.{u2} R (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) a (MvPolynomial.coeff.{u2, u1} R σ _inst_1 m p))
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.coeff_C_mul MvPolynomial.coeff_C_mulₓ'. -/
 @[simp]
-theorem coeff_c_mul (m) (a : R) (p : MvPolynomial σ R) : coeff m (c a * p) = a * coeff m p :=
+theorem coeff_C_mul (m) (a : R) (p : MvPolynomial σ R) : coeff m (C a * p) = a * coeff m p :=
   by
   rw [mul_def, sum_C]
   · simp (config := { contextual := true }) [sum_def, coeff_sum]
   simp
-#align mv_polynomial.coeff_C_mul MvPolynomial.coeff_c_mul
-
+#align mv_polynomial.coeff_C_mul MvPolynomial.coeff_C_mul
+
+/- warning: mv_polynomial.coeff_mul -> MvPolynomial.coeff_mul is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] (p : MvPolynomial.{u2, u1} σ R _inst_1) (q : MvPolynomial.{u2, u1} σ R _inst_1) (n : Finsupp.{u2, 0} σ Nat Nat.hasZero), Eq.{succ u1} R (MvPolynomial.coeff.{u1, u2} R σ _inst_1 n (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Distrib.toHasMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))) p q)) (Finset.sum.{u1, u2} R (Prod.{u2, u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (Finsupp.antidiagonal.{u2} σ n) (fun (x : Prod.{u2, u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.{u2, 0} σ Nat Nat.hasZero)) => HMul.hMul.{u1, u1, u1} R R R (instHMul.{u1} R (Distrib.toHasMul.{u1} R (NonUnitalNonAssocSemiring.toDistrib.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))) (MvPolynomial.coeff.{u1, u2} R σ _inst_1 (Prod.fst.{u2, u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.{u2, 0} σ Nat Nat.hasZero) x) p) (MvPolynomial.coeff.{u1, u2} R σ _inst_1 (Prod.snd.{u2, u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.{u2, 0} σ Nat Nat.hasZero) x) q)))
+but is expected to have type
+  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] (p : MvPolynomial.{u1, u2} σ R _inst_1) (q : MvPolynomial.{u1, u2} σ R _inst_1) (n : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)), Eq.{succ u2} R (MvPolynomial.coeff.{u2, u1} R σ _inst_1 n (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) p q)) (Finset.sum.{u2, u1} R (Prod.{u1, u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (Finsupp.antidiagonal.{u1} σ n) (fun (x : Prod.{u1, u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) => HMul.hMul.{u2, u2, u2} R R R (instHMul.{u2} R (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) (MvPolynomial.coeff.{u2, u1} R σ _inst_1 (Prod.fst.{u1, u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) x) p) (MvPolynomial.coeff.{u2, u1} R σ _inst_1 (Prod.snd.{u1, u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) x) q)))
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.coeff_mul MvPolynomial.coeff_mulₓ'. -/
 theorem coeff_mul (p q : MvPolynomial σ R) (n : σ →₀ ℕ) :
     coeff n (p * q) = ∑ x in antidiagonal n, coeff x.1 p * coeff x.2 q :=
   AddMonoidAlgebra.mul_apply_antidiagonal p q _ _ fun p => mem_antidiagonal
 #align mv_polynomial.coeff_mul MvPolynomial.coeff_mul
 
+/- warning: mv_polynomial.coeff_mul_monomial -> MvPolynomial.coeff_mul_monomial is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] (m : Finsupp.{u2, 0} σ Nat Nat.hasZero) (s : Finsupp.{u2, 0} σ Nat Nat.hasZero) (r : R) (p : MvPolynomial.{u2, u1} σ R _inst_1), Eq.{succ u1} R (MvPolynomial.coeff.{u1, u2} R σ _inst_1 (HAdd.hAdd.{u2, u2, u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.{u2, 0} σ Nat Nat.hasZero) (instHAdd.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.add.{u2, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid))) m s) (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Distrib.toHasMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))) p (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 s) r))) (HMul.hMul.{u1, u1, u1} R R R (instHMul.{u1} R (Distrib.toHasMul.{u1} R (NonUnitalNonAssocSemiring.toDistrib.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))) (MvPolynomial.coeff.{u1, u2} R σ _inst_1 m p) r)
+but is expected to have type
+  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] (m : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (s : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (r : R) (p : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{succ u2} R (MvPolynomial.coeff.{u2, u1} R σ _inst_1 (HAdd.hAdd.{u1, u1, u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (instHAdd.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.add.{u1, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid))) m s) (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) r) (MvPolynomial.{u1, u2} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) p (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s) r))) (HMul.hMul.{u2, u2, u2} R R R (instHMul.{u2} R (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) (MvPolynomial.coeff.{u2, u1} R σ _inst_1 m p) r)
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.coeff_mul_monomial MvPolynomial.coeff_mul_monomialₓ'. -/
 @[simp]
 theorem coeff_mul_monomial (m) (s : σ →₀ ℕ) (r : R) (p : MvPolynomial σ R) :
     coeff (m + s) (p * monomial s r) = coeff m p * r :=
   AddMonoidAlgebra.mul_single_apply_aux p _ _ _ _ fun a => add_left_inj _
 #align mv_polynomial.coeff_mul_monomial MvPolynomial.coeff_mul_monomial
 
+/- warning: mv_polynomial.coeff_monomial_mul -> MvPolynomial.coeff_monomial_mul is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] (m : Finsupp.{u2, 0} σ Nat Nat.hasZero) (s : Finsupp.{u2, 0} σ Nat Nat.hasZero) (r : R) (p : MvPolynomial.{u2, u1} σ R _inst_1), Eq.{succ u1} R (MvPolynomial.coeff.{u1, u2} R σ _inst_1 (HAdd.hAdd.{u2, u2, u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.{u2, 0} σ Nat Nat.hasZero) (instHAdd.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.add.{u2, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid))) s m) (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Distrib.toHasMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 s) r) p)) (HMul.hMul.{u1, u1, u1} R R R (instHMul.{u1} R (Distrib.toHasMul.{u1} R (NonUnitalNonAssocSemiring.toDistrib.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))) r (MvPolynomial.coeff.{u1, u2} R σ _inst_1 m p))
+but is expected to have type
+  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] (m : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (s : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (r : R) (p : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{succ u2} R (MvPolynomial.coeff.{u2, u1} R σ _inst_1 (HAdd.hAdd.{u1, u1, u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (instHAdd.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.add.{u1, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid))) s m) (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) r) (MvPolynomial.{u1, u2} σ R _inst_1) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) r) (instHMul.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) r) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) r) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) r) (Semiring.toNonAssocSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) r) (CommSemiring.toSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) r) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s) r) p)) (HMul.hMul.{u2, u2, u2} R R R (instHMul.{u2} R (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) r (MvPolynomial.coeff.{u2, u1} R σ _inst_1 m p))
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.coeff_monomial_mul MvPolynomial.coeff_monomial_mulₓ'. -/
 @[simp]
 theorem coeff_monomial_mul (m) (s : σ →₀ ℕ) (r : R) (p : MvPolynomial σ R) :
     coeff (s + m) (monomial s r * p) = r * coeff m p :=
   AddMonoidAlgebra.single_mul_apply_aux p _ _ _ _ fun a => add_right_inj _
 #align mv_polynomial.coeff_monomial_mul MvPolynomial.coeff_monomial_mul
 
+/- warning: mv_polynomial.coeff_mul_X -> MvPolynomial.coeff_mul_X is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] (m : Finsupp.{u2, 0} σ Nat Nat.hasZero) (s : σ) (p : MvPolynomial.{u2, u1} σ R _inst_1), Eq.{succ u1} R (MvPolynomial.coeff.{u1, u2} R σ _inst_1 (HAdd.hAdd.{u2, u2, u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.{u2, 0} σ Nat Nat.hasZero) (instHAdd.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.add.{u2, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid))) m (Finsupp.single.{u2, 0} σ Nat Nat.hasZero s (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Distrib.toHasMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))) p (MvPolynomial.X.{u1, u2} R σ _inst_1 s))) (MvPolynomial.coeff.{u1, u2} R σ _inst_1 m p)
+but is expected to have type
+  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] (m : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (s : σ) (p : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{succ u2} R (MvPolynomial.coeff.{u2, u1} R σ _inst_1 (HAdd.hAdd.{u1, u1, u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (instHAdd.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.add.{u1, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid))) m (Finsupp.single.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) s (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (HMul.hMul.{max u2 u1, max u1 u2, max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) p (MvPolynomial.X.{u2, u1} R σ _inst_1 s))) (MvPolynomial.coeff.{u2, u1} R σ _inst_1 m p)
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.coeff_mul_X MvPolynomial.coeff_mul_Xₓ'. -/
 @[simp]
-theorem coeff_mul_x (m) (s : σ) (p : MvPolynomial σ R) :
-    coeff (m + single s 1) (p * x s) = coeff m p :=
+theorem coeff_mul_X (m) (s : σ) (p : MvPolynomial σ R) :
+    coeff (m + single s 1) (p * X s) = coeff m p :=
   (coeff_mul_monomial _ _ _ _).trans (mul_one _)
-#align mv_polynomial.coeff_mul_X MvPolynomial.coeff_mul_x
+#align mv_polynomial.coeff_mul_X MvPolynomial.coeff_mul_X
 
+/- warning: mv_polynomial.coeff_X_mul -> MvPolynomial.coeff_X_mul is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] (m : Finsupp.{u2, 0} σ Nat Nat.hasZero) (s : σ) (p : MvPolynomial.{u2, u1} σ R _inst_1), Eq.{succ u1} R (MvPolynomial.coeff.{u1, u2} R σ _inst_1 (HAdd.hAdd.{u2, u2, u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.{u2, 0} σ Nat Nat.hasZero) (instHAdd.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.add.{u2, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid))) (Finsupp.single.{u2, 0} σ Nat Nat.hasZero s (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne)))) m) (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Distrib.toHasMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))) (MvPolynomial.X.{u1, u2} R σ _inst_1 s) p)) (MvPolynomial.coeff.{u1, u2} R σ _inst_1 m p)
+but is expected to have type
+  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] (m : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (s : σ) (p : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{succ u2} R (MvPolynomial.coeff.{u2, u1} R σ _inst_1 (HAdd.hAdd.{u1, u1, u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (instHAdd.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.add.{u1, 0} σ Nat (AddMonoid.toAddZeroClass.{0} Nat Nat.addMonoid))) (Finsupp.single.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) s (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))) m) (HMul.hMul.{max u1 u2, max u2 u1, max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (instHMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (MvPolynomial.X.{u2, u1} R σ _inst_1 s) p)) (MvPolynomial.coeff.{u2, u1} R σ _inst_1 m p)
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.coeff_X_mul MvPolynomial.coeff_X_mulₓ'. -/
 @[simp]
-theorem coeff_x_mul (m) (s : σ) (p : MvPolynomial σ R) :
-    coeff (single s 1 + m) (x s * p) = coeff m p :=
+theorem coeff_X_mul (m) (s : σ) (p : MvPolynomial σ R) :
+    coeff (single s 1 + m) (X s * p) = coeff m p :=
   (coeff_monomial_mul _ _ _ _).trans (one_mul _)
-#align mv_polynomial.coeff_X_mul MvPolynomial.coeff_x_mul
+#align mv_polynomial.coeff_X_mul MvPolynomial.coeff_X_mul
 
+/- warning: mv_polynomial.support_mul_X -> MvPolynomial.support_mul_X is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] (s : σ) (p : MvPolynomial.{u2, u1} σ R _inst_1), Eq.{succ u2} (Finset.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (MvPolynomial.support.{u1, u2} R σ _inst_1 (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Distrib.toHasMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))) p (MvPolynomial.X.{u1, u2} R σ _inst_1 s))) (Finset.map.{u2, u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.{u2, 0} σ Nat Nat.hasZero) (addRightEmbedding.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (AddRightCancelMonoid.toAddRightCancelSemigroup.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (AddCancelMonoid.toAddRightCancelMonoid.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (AddCancelCommMonoid.toAddCancelMonoid.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.orderedCancelAddCommMonoid.{u2, 0} σ Nat (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring)))))) (Finsupp.single.{u2, 0} σ Nat Nat.hasZero s (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (MvPolynomial.support.{u1, u2} R σ _inst_1 p))
+but is expected to have type
+  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] (s : σ) (p : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{succ u1} (Finset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (MvPolynomial.support.{u2, u1} R σ _inst_1 (HMul.hMul.{max u2 u1, max u1 u2, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) p (MvPolynomial.X.{u2, u1} R σ _inst_1 s))) (Finset.map.{u1, u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (addRightEmbedding.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (AddRightCancelMonoid.toAddRightCancelSemigroup.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (AddCancelMonoid.toAddRightCancelMonoid.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (AddCancelCommMonoid.toAddCancelMonoid.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.orderedCancelAddCommMonoid.{u1, 0} σ Nat (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring)))))) (Finsupp.single.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) s (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (MvPolynomial.support.{u2, u1} R σ _inst_1 p))
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.support_mul_X MvPolynomial.support_mul_Xₓ'. -/
 @[simp]
-theorem support_mul_x (s : σ) (p : MvPolynomial σ R) :
-    (p * x s).support = p.support.map (addRightEmbedding (single s 1)) :=
+theorem support_mul_X (s : σ) (p : MvPolynomial σ R) :
+    (p * X s).support = p.support.map (addRightEmbedding (single s 1)) :=
   AddMonoidAlgebra.support_mul_single p _ (by simp) _
-#align mv_polynomial.support_mul_X MvPolynomial.support_mul_x
+#align mv_polynomial.support_mul_X MvPolynomial.support_mul_X
 
+/- warning: mv_polynomial.support_X_mul -> MvPolynomial.support_X_mul is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] (s : σ) (p : MvPolynomial.{u2, u1} σ R _inst_1), Eq.{succ u2} (Finset.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (MvPolynomial.support.{u1, u2} R σ _inst_1 (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Distrib.toHasMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))) (MvPolynomial.X.{u1, u2} R σ _inst_1 s) p)) (Finset.map.{u2, u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.{u2, 0} σ Nat Nat.hasZero) (addLeftEmbedding.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (AddLeftCancelMonoid.toAddLeftCancelSemigroup.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (AddCancelCommMonoid.toAddLeftCancelMonoid.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.orderedCancelAddCommMonoid.{u2, 0} σ Nat (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring))))) (Finsupp.single.{u2, 0} σ Nat Nat.hasZero s (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (MvPolynomial.support.{u1, u2} R σ _inst_1 p))
+but is expected to have type
+  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] (s : σ) (p : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{succ u1} (Finset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (MvPolynomial.support.{u2, u1} R σ _inst_1 (HMul.hMul.{max u1 u2, max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (instHMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (MvPolynomial.X.{u2, u1} R σ _inst_1 s) p)) (Finset.map.{u1, u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (addLeftEmbedding.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (AddLeftCancelMonoid.toAddLeftCancelSemigroup.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (AddCancelCommMonoid.toAddLeftCancelMonoid.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.orderedCancelAddCommMonoid.{u1, 0} σ Nat (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring))))) (Finsupp.single.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) s (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (MvPolynomial.support.{u2, u1} R σ _inst_1 p))
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.support_X_mul MvPolynomial.support_X_mulₓ'. -/
 @[simp]
-theorem support_x_mul (s : σ) (p : MvPolynomial σ R) :
-    (x s * p).support = p.support.map (addLeftEmbedding (single s 1)) :=
+theorem support_X_mul (s : σ) (p : MvPolynomial σ R) :
+    (X s * p).support = p.support.map (addLeftEmbedding (single s 1)) :=
   AddMonoidAlgebra.support_single_mul p _ (by simp) _
-#align mv_polynomial.support_X_mul MvPolynomial.support_x_mul
-
+#align mv_polynomial.support_X_mul MvPolynomial.support_X_mul
+
+/- warning: mv_polynomial.support_sdiff_support_subset_support_add -> MvPolynomial.support_sdiff_support_subset_support_add is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_3 : DecidableEq.{succ u2} σ] (p : MvPolynomial.{u2, u1} σ R _inst_1) (q : MvPolynomial.{u2, u1} σ R _inst_1), HasSubset.Subset.{u2} (Finset.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (Finset.hasSubset.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (SDiff.sdiff.{u2} (Finset.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (Finset.hasSdiff.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (fun (a : Finsupp.{u2, 0} σ Nat Nat.hasZero) (b : Finsupp.{u2, 0} σ Nat Nat.hasZero) => Finsupp.decidableEq.{u2, 0} σ Nat Nat.hasZero (fun (a : σ) (b : σ) => _inst_3 a b) (fun (a : Nat) (b : Nat) => Nat.decidableEq a b) a b)) (MvPolynomial.support.{u1, u2} R σ _inst_1 p) (MvPolynomial.support.{u1, u2} R σ _inst_1 q)) (MvPolynomial.support.{u1, u2} R σ _inst_1 (HAdd.hAdd.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (instHAdd.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Distrib.toHasAdd.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))) p q))
+but is expected to have type
+  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_3 : DecidableEq.{succ u1} σ] (p : MvPolynomial.{u1, u2} σ R _inst_1) (q : MvPolynomial.{u1, u2} σ R _inst_1), HasSubset.Subset.{u1} (Finset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (Finset.instHasSubsetFinset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (SDiff.sdiff.{u1} (Finset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (Finset.instSDiffFinset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (fun (a : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (b : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => Finsupp.decidableEq.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) (fun (a : σ) (b : σ) => _inst_3 a b) (fun (a : Nat) (b : Nat) => instDecidableEqNat a b) a b)) (MvPolynomial.support.{u2, u1} R σ _inst_1 p) (MvPolynomial.support.{u2, u1} R σ _inst_1 q)) (MvPolynomial.support.{u2, u1} R σ _inst_1 (HAdd.hAdd.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (instHAdd.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Distrib.toAdd.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) p q))
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.support_sdiff_support_subset_support_add MvPolynomial.support_sdiff_support_subset_support_addₓ'. -/
 theorem support_sdiff_support_subset_support_add [DecidableEq σ] (p q : MvPolynomial σ R) :
     p.support \ q.support ⊆ (p + q).support :=
   by
@@ -715,6 +1291,12 @@ theorem support_sdiff_support_subset_support_add [DecidableEq σ] (p q : MvPolyn
   simp [hm.2, hm.1]
 #align mv_polynomial.support_sdiff_support_subset_support_add MvPolynomial.support_sdiff_support_subset_support_add
 
+/- warning: mv_polynomial.support_symm_diff_support_subset_support_add -> MvPolynomial.support_symmDiff_support_subset_support_add is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_3 : DecidableEq.{succ u2} σ] (p : MvPolynomial.{u2, u1} σ R _inst_1) (q : MvPolynomial.{u2, u1} σ R _inst_1), HasSubset.Subset.{u2} (Finset.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (Finset.hasSubset.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (symmDiff.{u2} (Finset.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (SemilatticeSup.toHasSup.{u2} (Finset.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (Lattice.toSemilatticeSup.{u2} (Finset.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero)) (Finset.lattice.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (fun (a : Finsupp.{u2, 0} σ Nat Nat.hasZero) (b : Finsupp.{u2, 0} σ Nat Nat.hasZero) => Finsupp.decidableEq.{u2, 0} σ Nat Nat.hasZero (fun (a : σ) (b : σ) => _inst_3 a b) (fun (a : Nat) (b : Nat) => Nat.decidableEq a b) a b)))) (Finset.hasSdiff.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (fun (a : Finsupp.{u2, 0} σ Nat Nat.hasZero) (b : Finsupp.{u2, 0} σ Nat Nat.hasZero) => Finsupp.decidableEq.{u2, 0} σ Nat Nat.hasZero (fun (a : σ) (b : σ) => _inst_3 a b) (fun (a : Nat) (b : Nat) => Nat.decidableEq a b) a b)) (MvPolynomial.support.{u1, u2} R σ _inst_1 p) (MvPolynomial.support.{u1, u2} R σ _inst_1 q)) (MvPolynomial.support.{u1, u2} R σ _inst_1 (HAdd.hAdd.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (instHAdd.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Distrib.toHasAdd.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))) p q))
+but is expected to have type
+  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_3 : DecidableEq.{succ u1} σ] (p : MvPolynomial.{u1, u2} σ R _inst_1) (q : MvPolynomial.{u1, u2} σ R _inst_1), HasSubset.Subset.{u1} (Finset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (Finset.instHasSubsetFinset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (symmDiff.{u1} (Finset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (SemilatticeSup.toSup.{u1} (Finset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (Lattice.toSemilatticeSup.{u1} (Finset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (Finset.instLatticeFinset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (fun (a : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (b : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => Finsupp.decidableEq.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) (fun (a : σ) (b : σ) => _inst_3 a b) (fun (a : Nat) (b : Nat) => instDecidableEqNat a b) a b)))) (Finset.instSDiffFinset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (fun (a : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (b : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => Finsupp.decidableEq.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) (fun (a : σ) (b : σ) => _inst_3 a b) (fun (a : Nat) (b : Nat) => instDecidableEqNat a b) a b)) (MvPolynomial.support.{u2, u1} R σ _inst_1 p) (MvPolynomial.support.{u2, u1} R σ _inst_1 q)) (MvPolynomial.support.{u2, u1} R σ _inst_1 (HAdd.hAdd.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (instHAdd.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Distrib.toAdd.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) p q))
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.support_symm_diff_support_subset_support_add MvPolynomial.support_symmDiff_support_subset_support_addₓ'. -/
 theorem support_symmDiff_support_subset_support_add [DecidableEq σ] (p q : MvPolynomial σ R) :
     p.support ∆ q.support ⊆ (p + q).support :=
   by
@@ -725,6 +1307,12 @@ theorem support_symmDiff_support_subset_support_add [DecidableEq σ] (p q : MvPo
     exact support_sdiff_support_subset_support_add q p
 #align mv_polynomial.support_symm_diff_support_subset_support_add MvPolynomial.support_symmDiff_support_subset_support_add
 
+/- warning: mv_polynomial.coeff_mul_monomial' -> MvPolynomial.coeff_mul_monomial' is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] (m : Finsupp.{u2, 0} σ Nat Nat.hasZero) (s : Finsupp.{u2, 0} σ Nat Nat.hasZero) (r : R) (p : MvPolynomial.{u2, u1} σ R _inst_1), Eq.{succ u1} R (MvPolynomial.coeff.{u1, u2} R σ _inst_1 m (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Distrib.toHasMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))) p (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 s) r))) (ite.{succ u1} R (LE.le.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.hasLe.{u2, 0} σ Nat Nat.hasZero Nat.hasLe) s m) (Finsupp.decidableLE.{u2, 0} σ Nat (CanonicallyOrderedCommSemiring.toCanonicallyOrderedAddMonoid.{0} Nat Nat.canonicallyOrderedCommSemiring) (fun (a : Nat) (b : Nat) => Nat.decidableLe a b) s m) (HMul.hMul.{u1, u1, u1} R R R (instHMul.{u1} R (Distrib.toHasMul.{u1} R (NonUnitalNonAssocSemiring.toDistrib.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))) (MvPolynomial.coeff.{u1, u2} R σ _inst_1 (HSub.hSub.{u2, u2, u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.{u2, 0} σ Nat Nat.hasZero) (instHSub.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.tsub.{u2, 0} σ Nat (CanonicallyOrderedCommSemiring.toCanonicallyOrderedAddMonoid.{0} Nat Nat.canonicallyOrderedCommSemiring) Nat.hasSub Nat.hasOrderedSub)) m s) p) r) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))))))
+but is expected to have type
+  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] (m : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (s : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (r : R) (p : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{succ u2} R (MvPolynomial.coeff.{u2, u1} R σ _inst_1 m (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) r) (MvPolynomial.{u1, u2} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) p (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s) r))) (ite.{succ u2} R (LE.le.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.instLEFinsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) instLENat) s m) (Finsupp.decidableLE.{u1, 0} σ Nat (CanonicallyOrderedCommSemiring.toCanonicallyOrderedAddMonoid.{0} Nat Nat.canonicallyOrderedCommSemiring) (fun (a : Nat) (b : Nat) => Nat.decLe a b) s m) (HMul.hMul.{u2, u2, u2} R R R (instHMul.{u2} R (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) (MvPolynomial.coeff.{u2, u1} R σ _inst_1 (HSub.hSub.{u1, u1, u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (instHSub.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.tsub.{u1, 0} σ Nat (CanonicallyOrderedCommSemiring.toCanonicallyOrderedAddMonoid.{0} Nat Nat.canonicallyOrderedCommSemiring) instSubNat Nat.instOrderedSubNatInstLENatInstAddNatInstSubNat)) m s) p) r) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1)))))
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.coeff_mul_monomial' MvPolynomial.coeff_mul_monomial'ₓ'. -/
 theorem coeff_mul_monomial' (m) (s : σ →₀ ℕ) (r : R) (p : MvPolynomial σ R) :
     coeff m (p * monomial s r) = if s ≤ m then coeff (m - s) p * r else 0 :=
   by
@@ -748,6 +1336,12 @@ theorem coeff_mul_monomial' (m) (s : σ →₀ ℕ) (r : R) (p : MvPolynomial σ
     exact le_add_left le_rfl
 #align mv_polynomial.coeff_mul_monomial' MvPolynomial.coeff_mul_monomial'
 
+/- warning: mv_polynomial.coeff_monomial_mul' -> MvPolynomial.coeff_monomial_mul' is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] (m : Finsupp.{u2, 0} σ Nat Nat.hasZero) (s : Finsupp.{u2, 0} σ Nat Nat.hasZero) (r : R) (p : MvPolynomial.{u2, u1} σ R _inst_1), Eq.{succ u1} R (MvPolynomial.coeff.{u1, u2} R σ _inst_1 m (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Distrib.toHasMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 s) r) p)) (ite.{succ u1} R (LE.le.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.hasLe.{u2, 0} σ Nat Nat.hasZero Nat.hasLe) s m) (Finsupp.decidableLE.{u2, 0} σ Nat (CanonicallyOrderedCommSemiring.toCanonicallyOrderedAddMonoid.{0} Nat Nat.canonicallyOrderedCommSemiring) (fun (a : Nat) (b : Nat) => Nat.decidableLe a b) s m) (HMul.hMul.{u1, u1, u1} R R R (instHMul.{u1} R (Distrib.toHasMul.{u1} R (NonUnitalNonAssocSemiring.toDistrib.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))) r (MvPolynomial.coeff.{u1, u2} R σ _inst_1 (HSub.hSub.{u2, u2, u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.{u2, 0} σ Nat Nat.hasZero) (instHSub.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.tsub.{u2, 0} σ Nat (CanonicallyOrderedCommSemiring.toCanonicallyOrderedAddMonoid.{0} Nat Nat.canonicallyOrderedCommSemiring) Nat.hasSub Nat.hasOrderedSub)) m s) p)) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))))))
+but is expected to have type
+  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] (m : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (s : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (r : R) (p : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{succ u2} R (MvPolynomial.coeff.{u2, u1} R σ _inst_1 m (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) r) (MvPolynomial.{u1, u2} σ R _inst_1) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) r) (instHMul.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) r) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) r) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) r) (Semiring.toNonAssocSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) r) (CommSemiring.toSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) r) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s) r) p)) (ite.{succ u2} R (LE.le.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.instLEFinsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) instLENat) s m) (Finsupp.decidableLE.{u1, 0} σ Nat (CanonicallyOrderedCommSemiring.toCanonicallyOrderedAddMonoid.{0} Nat Nat.canonicallyOrderedCommSemiring) (fun (a : Nat) (b : Nat) => Nat.decLe a b) s m) (HMul.hMul.{u2, u2, u2} R R R (instHMul.{u2} R (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) r (MvPolynomial.coeff.{u2, u1} R σ _inst_1 (HSub.hSub.{u1, u1, u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (instHSub.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.tsub.{u1, 0} σ Nat (CanonicallyOrderedCommSemiring.toCanonicallyOrderedAddMonoid.{0} Nat Nat.canonicallyOrderedCommSemiring) instSubNat Nat.instOrderedSubNatInstLENatInstAddNatInstSubNat)) m s) p)) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1)))))
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.coeff_monomial_mul' MvPolynomial.coeff_monomial_mul'ₓ'. -/
 theorem coeff_monomial_mul' (m) (s : σ →₀ ℕ) (r : R) (p : MvPolynomial σ R) :
     coeff m (monomial s r * p) = if s ≤ m then r * coeff (m - s) p else 0 :=
   by
@@ -756,39 +1350,75 @@ theorem coeff_monomial_mul' (m) (s : σ →₀ ℕ) (r : R) (p : MvPolynomial σ
   exact coeff_mul_monomial' _ _ _ _
 #align mv_polynomial.coeff_monomial_mul' MvPolynomial.coeff_monomial_mul'
 
+/- warning: mv_polynomial.coeff_mul_X' -> MvPolynomial.coeff_mul_X' is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_3 : DecidableEq.{succ u2} σ] (m : Finsupp.{u2, 0} σ Nat Nat.hasZero) (s : σ) (p : MvPolynomial.{u2, u1} σ R _inst_1), Eq.{succ u1} R (MvPolynomial.coeff.{u1, u2} R σ _inst_1 m (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Distrib.toHasMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))) p (MvPolynomial.X.{u1, u2} R σ _inst_1 s))) (ite.{succ u1} R (Membership.Mem.{u2, u2} σ (Finset.{u2} σ) (Finset.hasMem.{u2} σ) s (Finsupp.support.{u2, 0} σ Nat Nat.hasZero m)) (Finset.decidableMem.{u2} σ (fun (a : σ) (b : σ) => _inst_3 a b) s (Finsupp.support.{u2, 0} σ Nat Nat.hasZero m)) (MvPolynomial.coeff.{u1, u2} R σ _inst_1 (HSub.hSub.{u2, u2, u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.{u2, 0} σ Nat Nat.hasZero) (instHSub.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.tsub.{u2, 0} σ Nat (CanonicallyOrderedCommSemiring.toCanonicallyOrderedAddMonoid.{0} Nat Nat.canonicallyOrderedCommSemiring) Nat.hasSub Nat.hasOrderedSub)) m (Finsupp.single.{u2, 0} σ Nat Nat.hasZero s (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) p) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))))))
+but is expected to have type
+  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_3 : DecidableEq.{succ u1} σ] (m : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (s : σ) (p : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{succ u2} R (MvPolynomial.coeff.{u2, u1} R σ _inst_1 m (HMul.hMul.{max u2 u1, max u1 u2, max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) p (MvPolynomial.X.{u2, u1} R σ _inst_1 s))) (ite.{succ u2} R (Membership.mem.{u1, u1} σ (Finset.{u1} σ) (Finset.instMembershipFinset.{u1} σ) s (Finsupp.support.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) m)) (Finset.decidableMem.{u1} σ (fun (a : σ) (b : σ) => _inst_3 a b) s (Finsupp.support.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) m)) (MvPolynomial.coeff.{u2, u1} R σ _inst_1 (HSub.hSub.{u1, u1, u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (instHSub.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.tsub.{u1, 0} σ Nat (CanonicallyOrderedCommSemiring.toCanonicallyOrderedAddMonoid.{0} Nat Nat.canonicallyOrderedCommSemiring) instSubNat Nat.instOrderedSubNatInstLENatInstAddNatInstSubNat)) m (Finsupp.single.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) s (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) p) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1)))))
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.coeff_mul_X' MvPolynomial.coeff_mul_X'ₓ'. -/
 theorem coeff_mul_X' [DecidableEq σ] (m) (s : σ) (p : MvPolynomial σ R) :
-    coeff m (p * x s) = if s ∈ m.support then coeff (m - single s 1) p else 0 :=
+    coeff m (p * X s) = if s ∈ m.support then coeff (m - single s 1) p else 0 :=
   by
   refine' (coeff_mul_monomial' _ _ _ _).trans _
   simp_rw [Finsupp.single_le_iff, Finsupp.mem_support_iff, Nat.succ_le_iff, pos_iff_ne_zero,
     mul_one]
 #align mv_polynomial.coeff_mul_X' MvPolynomial.coeff_mul_X'
 
-theorem coeff_x_mul' [DecidableEq σ] (m) (s : σ) (p : MvPolynomial σ R) :
-    coeff m (x s * p) = if s ∈ m.support then coeff (m - single s 1) p else 0 :=
+/- warning: mv_polynomial.coeff_X_mul' -> MvPolynomial.coeff_X_mul' is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_3 : DecidableEq.{succ u2} σ] (m : Finsupp.{u2, 0} σ Nat Nat.hasZero) (s : σ) (p : MvPolynomial.{u2, u1} σ R _inst_1), Eq.{succ u1} R (MvPolynomial.coeff.{u1, u2} R σ _inst_1 m (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Distrib.toHasMul.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))))) (MvPolynomial.X.{u1, u2} R σ _inst_1 s) p)) (ite.{succ u1} R (Membership.Mem.{u2, u2} σ (Finset.{u2} σ) (Finset.hasMem.{u2} σ) s (Finsupp.support.{u2, 0} σ Nat Nat.hasZero m)) (Finset.decidableMem.{u2} σ (fun (a : σ) (b : σ) => _inst_3 a b) s (Finsupp.support.{u2, 0} σ Nat Nat.hasZero m)) (MvPolynomial.coeff.{u1, u2} R σ _inst_1 (HSub.hSub.{u2, u2, u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.{u2, 0} σ Nat Nat.hasZero) (instHSub.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.tsub.{u2, 0} σ Nat (CanonicallyOrderedCommSemiring.toCanonicallyOrderedAddMonoid.{0} Nat Nat.canonicallyOrderedCommSemiring) Nat.hasSub Nat.hasOrderedSub)) m (Finsupp.single.{u2, 0} σ Nat Nat.hasZero s (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) p) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))))))
+but is expected to have type
+  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_3 : DecidableEq.{succ u1} σ] (m : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (s : σ) (p : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{succ u2} R (MvPolynomial.coeff.{u2, u1} R σ _inst_1 m (HMul.hMul.{max u1 u2, max u2 u1, max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (instHMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (MvPolynomial.X.{u2, u1} R σ _inst_1 s) p)) (ite.{succ u2} R (Membership.mem.{u1, u1} σ (Finset.{u1} σ) (Finset.instMembershipFinset.{u1} σ) s (Finsupp.support.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) m)) (Finset.decidableMem.{u1} σ (fun (a : σ) (b : σ) => _inst_3 a b) s (Finsupp.support.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) m)) (MvPolynomial.coeff.{u2, u1} R σ _inst_1 (HSub.hSub.{u1, u1, u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (instHSub.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.tsub.{u1, 0} σ Nat (CanonicallyOrderedCommSemiring.toCanonicallyOrderedAddMonoid.{0} Nat Nat.canonicallyOrderedCommSemiring) instSubNat Nat.instOrderedSubNatInstLENatInstAddNatInstSubNat)) m (Finsupp.single.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) s (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) p) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1)))))
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.coeff_X_mul' MvPolynomial.coeff_X_mul'ₓ'. -/
+theorem coeff_X_mul' [DecidableEq σ] (m) (s : σ) (p : MvPolynomial σ R) :
+    coeff m (X s * p) = if s ∈ m.support then coeff (m - single s 1) p else 0 :=
   by
   refine' (coeff_monomial_mul' _ _ _ _).trans _
   simp_rw [Finsupp.single_le_iff, Finsupp.mem_support_iff, Nat.succ_le_iff, pos_iff_ne_zero,
     one_mul]
-#align mv_polynomial.coeff_X_mul' MvPolynomial.coeff_x_mul'
-
+#align mv_polynomial.coeff_X_mul' MvPolynomial.coeff_X_mul'
+
+/- warning: mv_polynomial.eq_zero_iff -> MvPolynomial.eq_zero_iff is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {p : MvPolynomial.{u2, u1} σ R _inst_1}, Iff (Eq.{max (succ u2) (succ u1)} (MvPolynomial.{u2, u1} σ R _inst_1) p (OfNat.ofNat.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) 0 (OfNat.mk.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) 0 (Zero.zero.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MulZeroClass.toHasZero.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toMulZeroClass.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))))))))) (forall (d : Finsupp.{u2, 0} σ Nat Nat.hasZero), Eq.{succ u1} R (MvPolynomial.coeff.{u1, u2} R σ _inst_1 d p) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))))))
+but is expected to have type
+  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] {p : MvPolynomial.{u1, u2} σ R _inst_1}, Iff (Eq.{max (succ u2) (succ u1)} (MvPolynomial.{u1, u2} σ R _inst_1) p (OfNat.ofNat.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) 0 (Zero.toOfNat0.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommMonoidWithZero.toZero.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toCommMonoidWithZero.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (forall (d : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)), Eq.{succ u2} R (MvPolynomial.coeff.{u2, u1} R σ _inst_1 d p) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1)))))
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.eq_zero_iff MvPolynomial.eq_zero_iffₓ'. -/
 theorem eq_zero_iff {p : MvPolynomial σ R} : p = 0 ↔ ∀ d, coeff d p = 0 :=
   by
   rw [ext_iff]
   simp only [coeff_zero]
 #align mv_polynomial.eq_zero_iff MvPolynomial.eq_zero_iff
 
+/- warning: mv_polynomial.ne_zero_iff -> MvPolynomial.ne_zero_iff is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {p : MvPolynomial.{u2, u1} σ R _inst_1}, Iff (Ne.{max (succ u2) (succ u1)} (MvPolynomial.{u2, u1} σ R _inst_1) p (OfNat.ofNat.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) 0 (OfNat.mk.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) 0 (Zero.zero.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MulZeroClass.toHasZero.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toMulZeroClass.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))))))))) (Exists.{succ u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (fun (d : Finsupp.{u2, 0} σ Nat Nat.hasZero) => Ne.{succ u1} R (MvPolynomial.coeff.{u1, u2} R σ _inst_1 d p) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))))))))
+but is expected to have type
+  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] {p : MvPolynomial.{u1, u2} σ R _inst_1}, Iff (Ne.{max (succ u2) (succ u1)} (MvPolynomial.{u1, u2} σ R _inst_1) p (OfNat.ofNat.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) 0 (Zero.toOfNat0.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommMonoidWithZero.toZero.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toCommMonoidWithZero.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (Exists.{succ u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (fun (d : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => Ne.{succ u2} R (MvPolynomial.coeff.{u2, u1} R σ _inst_1 d p) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))))))
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.ne_zero_iff MvPolynomial.ne_zero_iffₓ'. -/
 theorem ne_zero_iff {p : MvPolynomial σ R} : p ≠ 0 ↔ ∃ d, coeff d p ≠ 0 :=
   by
   rw [Ne.def, eq_zero_iff]
   push_neg
 #align mv_polynomial.ne_zero_iff MvPolynomial.ne_zero_iff
 
+/- warning: mv_polynomial.exists_coeff_ne_zero -> MvPolynomial.exists_coeff_ne_zero is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {p : MvPolynomial.{u2, u1} σ R _inst_1}, (Ne.{max (succ u2) (succ u1)} (MvPolynomial.{u2, u1} σ R _inst_1) p (OfNat.ofNat.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) 0 (OfNat.mk.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) 0 (Zero.zero.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MulZeroClass.toHasZero.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toMulZeroClass.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))))))))) -> (Exists.{succ u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (fun (d : Finsupp.{u2, 0} σ Nat Nat.hasZero) => Ne.{succ u1} R (MvPolynomial.coeff.{u1, u2} R σ _inst_1 d p) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))))))))
+but is expected to have type
+  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] {p : MvPolynomial.{u1, u2} σ R _inst_1}, (Ne.{max (succ u2) (succ u1)} (MvPolynomial.{u1, u2} σ R _inst_1) p (OfNat.ofNat.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) 0 (Zero.toOfNat0.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommMonoidWithZero.toZero.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toCommMonoidWithZero.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) -> (Exists.{succ u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (fun (d : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => Ne.{succ u2} R (MvPolynomial.coeff.{u2, u1} R σ _inst_1 d p) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))))))
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.exists_coeff_ne_zero MvPolynomial.exists_coeff_ne_zeroₓ'. -/
 theorem exists_coeff_ne_zero {p : MvPolynomial σ R} (h : p ≠ 0) : ∃ d, coeff d p ≠ 0 :=
   ne_zero_iff.mp h
 #align mv_polynomial.exists_coeff_ne_zero MvPolynomial.exists_coeff_ne_zero
 
-theorem c_dvd_iff_dvd_coeff (r : R) (φ : MvPolynomial σ R) : c r ∣ φ ↔ ∀ i, r ∣ φ.coeff i :=
+/- warning: mv_polynomial.C_dvd_iff_dvd_coeff -> MvPolynomial.C_dvd_iff_dvd_coeff is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] (r : R) (φ : MvPolynomial.{u2, u1} σ R _inst_1), Iff (Dvd.Dvd.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (semigroupDvd.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (SemigroupWithZero.toSemigroup.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalSemiring.toSemigroupWithZero.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalCommSemiring.toNonUnitalSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toNonUnitalCommSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))))) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (fun (_x : RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (MvPolynomial.C.{u1, u2} R σ _inst_1) r) φ) (forall (i : Finsupp.{u2, 0} σ Nat Nat.hasZero), Dvd.Dvd.{u1} R (semigroupDvd.{u1} R (SemigroupWithZero.toSemigroup.{u1} R (NonUnitalSemiring.toSemigroupWithZero.{u1} R (NonUnitalCommSemiring.toNonUnitalSemiring.{u1} R (CommSemiring.toNonUnitalCommSemiring.{u1} R _inst_1))))) r (MvPolynomial.coeff.{u1, u2} R σ _inst_1 i φ))
+but is expected to have type
+  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] (r : R) (φ : MvPolynomial.{u1, u2} σ R _inst_1), Iff (Dvd.dvd.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) r) (semigroupDvd.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) r) (SemigroupWithZero.toSemigroup.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) r) (NonUnitalSemiring.toSemigroupWithZero.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) r) (NonUnitalCommSemiring.toNonUnitalSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) r) (CommSemiring.toNonUnitalCommSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) r) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) r) φ) (forall (i : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)), Dvd.dvd.{u2} R (semigroupDvd.{u2} R (SemigroupWithZero.toSemigroup.{u2} R (NonUnitalSemiring.toSemigroupWithZero.{u2} R (NonUnitalCommSemiring.toNonUnitalSemiring.{u2} R (CommSemiring.toNonUnitalCommSemiring.{u2} R _inst_1))))) r (MvPolynomial.coeff.{u2, u1} R σ _inst_1 i φ))
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.C_dvd_iff_dvd_coeff MvPolynomial.C_dvd_iff_dvd_coeffₓ'. -/
+theorem C_dvd_iff_dvd_coeff (r : R) (φ : MvPolynomial σ R) : C r ∣ φ ↔ ∀ i, r ∣ φ.coeff i :=
   by
   constructor
   · rintro ⟨φ, rfl⟩ c
@@ -807,12 +1437,13 @@ theorem c_dvd_iff_dvd_coeff (r : R) (φ : MvPolynomial σ R) : c r ∣ φ ↔ 
       · rw [hc]
       · rw [not_mem_support_iff] at hi
         rwa [MulZeroClass.mul_zero]
-#align mv_polynomial.C_dvd_iff_dvd_coeff MvPolynomial.c_dvd_iff_dvd_coeff
+#align mv_polynomial.C_dvd_iff_dvd_coeff MvPolynomial.C_dvd_iff_dvd_coeff
 
 end Coeff
 
 section ConstantCoeff
 
+#print MvPolynomial.constantCoeff /-
 /-- `constant_coeff p` returns the constant term of the polynomial `p`, defined as `coeff 0 p`.
 This is a ring homomorphism.
 -/
@@ -824,35 +1455,66 @@ def constantCoeff : MvPolynomial σ R →+* R
   map_zero' := coeff_zero _
   map_add' := coeff_add _
 #align mv_polynomial.constant_coeff MvPolynomial.constantCoeff
+-/
 
+/- warning: mv_polynomial.constant_coeff_eq -> MvPolynomial.constantCoeff_eq is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R], Eq.{max (succ u2) (succ u1)} ((fun (_x : RingHom.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) => (MvPolynomial.{u2, u1} σ R _inst_1) -> R) (MvPolynomial.constantCoeff.{u1, u2} R σ _inst_1)) (coeFn.{max (succ (max u2 u1)) (succ u1), max (succ (max u2 u1)) (succ u1)} (RingHom.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (fun (_x : RingHom.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) => (MvPolynomial.{u2, u1} σ R _inst_1) -> R) (RingHom.hasCoeToFun.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.constantCoeff.{u1, u2} R σ _inst_1)) (MvPolynomial.coeff.{u1, u2} R σ _inst_1 (OfNat.ofNat.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) 0 (OfNat.mk.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) 0 (Zero.zero.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.zero.{u2, 0} σ Nat Nat.hasZero)))))
+but is expected to have type
+  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R], Eq.{max (succ u2) (succ u1)} (forall (a : MvPolynomial.{u1, u2} σ R _inst_1), (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) a) (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), succ u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) _x) (MulHomClass.toFunLike.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (RingHom.instRingHomClassRingHom.{max u1 u2, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))))) (MvPolynomial.constantCoeff.{u2, u1} R σ _inst_1)) (MvPolynomial.coeff.{u2, u1} R σ _inst_1 (OfNat.ofNat.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) 0 (Zero.toOfNat0.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.zero.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)))))
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.constant_coeff_eq MvPolynomial.constantCoeff_eqₓ'. -/
 theorem constantCoeff_eq : (constantCoeff : MvPolynomial σ R → R) = coeff 0 :=
   rfl
 #align mv_polynomial.constant_coeff_eq MvPolynomial.constantCoeff_eq
 
 variable (σ)
 
+/- warning: mv_polynomial.constant_coeff_C -> MvPolynomial.constantCoeff_C is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} (σ : Type.{u2}) [_inst_1 : CommSemiring.{u1} R] (r : R), Eq.{succ u1} R (coeFn.{max (succ (max u2 u1)) (succ u1), max (succ (max u2 u1)) (succ u1)} (RingHom.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (fun (_x : RingHom.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) => (MvPolynomial.{u2, u1} σ R _inst_1) -> R) (RingHom.hasCoeToFun.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.constantCoeff.{u1, u2} R σ _inst_1) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (fun (_x : RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (MvPolynomial.C.{u1, u2} R σ _inst_1) r)) r
+but is expected to have type
+  forall {R : Type.{u2}} (σ : Type.{u1}) [_inst_1 : CommSemiring.{u2} R] (r : R), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (a : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) r)) (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), succ u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) _x) (MulHomClass.toFunLike.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (RingHom.instRingHomClassRingHom.{max u1 u2, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))))) (MvPolynomial.constantCoeff.{u2, u1} R σ _inst_1) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) r)) r
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.constant_coeff_C MvPolynomial.constantCoeff_Cₓ'. -/
 @[simp]
-theorem constantCoeff_c (r : R) : constantCoeff (c r : MvPolynomial σ R) = r := by
+theorem constantCoeff_C (r : R) : constantCoeff (C r : MvPolynomial σ R) = r := by
   simp [constant_coeff_eq]
-#align mv_polynomial.constant_coeff_C MvPolynomial.constantCoeff_c
+#align mv_polynomial.constant_coeff_C MvPolynomial.constantCoeff_C
 
 variable {σ}
 
 variable (R)
 
+/- warning: mv_polynomial.constant_coeff_X -> MvPolynomial.constantCoeff_X is a dubious translation:
+lean 3 declaration is
+  forall (R : Type.{u1}) {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] (i : σ), Eq.{succ u1} R (coeFn.{max (succ (max u2 u1)) (succ u1), max (succ (max u2 u1)) (succ u1)} (RingHom.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (fun (_x : RingHom.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) => (MvPolynomial.{u2, u1} σ R _inst_1) -> R) (RingHom.hasCoeToFun.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.constantCoeff.{u1, u2} R σ _inst_1) (MvPolynomial.X.{u1, u2} R σ _inst_1 i)) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))))))
+but is expected to have type
+  forall (R : Type.{u2}) {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] (i : σ), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) (MvPolynomial.X.{u2, u1} R σ _inst_1 i)) (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), succ u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) _x) (MulHomClass.toFunLike.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (RingHom.instRingHomClassRingHom.{max u1 u2, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))))) (MvPolynomial.constantCoeff.{u2, u1} R σ _inst_1) (MvPolynomial.X.{u2, u1} R σ _inst_1 i)) (OfNat.ofNat.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) (MvPolynomial.X.{u2, u1} R σ _inst_1 i)) 0 (Zero.toOfNat0.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) (MvPolynomial.X.{u2, u1} R σ _inst_1 i)) (CommMonoidWithZero.toZero.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) (MvPolynomial.X.{u2, u1} R σ _inst_1 i)) (CommSemiring.toCommMonoidWithZero.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) (MvPolynomial.X.{u2, u1} R σ _inst_1 i)) _inst_1))))
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.constant_coeff_X MvPolynomial.constantCoeff_Xₓ'. -/
 @[simp]
-theorem constantCoeff_x (i : σ) : constantCoeff (x i : MvPolynomial σ R) = 0 := by
+theorem constantCoeff_X (i : σ) : constantCoeff (X i : MvPolynomial σ R) = 0 := by
   simp [constant_coeff_eq]
-#align mv_polynomial.constant_coeff_X MvPolynomial.constantCoeff_x
+#align mv_polynomial.constant_coeff_X MvPolynomial.constantCoeff_X
 
 variable {R}
 
+/- warning: mv_polynomial.constant_coeff_smul -> MvPolynomial.constantCoeff_smul is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {S₁ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] [_inst_3 : DistribMulAction.{u1, u2} R S₁ (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (AddMonoidWithOne.toAddMonoid.{u2} S₁ (AddCommMonoidWithOne.toAddMonoidWithOne.{u2} S₁ (NonAssocSemiring.toAddCommMonoidWithOne.{u2} S₁ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)))))] (a : R) (f : MvPolynomial.{u3, u2} σ S₁ _inst_2), Eq.{succ u2} S₁ (coeFn.{max (succ (max u3 u2)) (succ u2), max (succ (max u3 u2)) (succ u2)} (RingHom.{max u3 u2, u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (fun (_x : RingHom.{max u3 u2, u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) => (MvPolynomial.{u3, u2} σ S₁ _inst_2) -> S₁) (RingHom.hasCoeToFun.{max u3 u2, u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (MvPolynomial.constantCoeff.{u2, u3} S₁ σ _inst_2) (SMul.smul.{u1, max u3 u2} R (MvPolynomial.{u3, u2} σ S₁ _inst_2) (SMulZeroClass.toHasSmul.{u1, max u3 u2} R (MvPolynomial.{u3, u2} σ S₁ _inst_2) (AddZeroClass.toHasZero.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (AddMonoid.toAddZeroClass.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (AddMonoidWithOne.toAddMonoid.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (AddCommMonoidWithOne.toAddMonoidWithOne.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (NonAssocSemiring.toAddCommMonoidWithOne.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))))))) (DistribSMul.toSmulZeroClass.{u1, max u3 u2} R (MvPolynomial.{u3, u2} σ S₁ _inst_2) (AddMonoid.toAddZeroClass.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (AddMonoidWithOne.toAddMonoid.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (AddCommMonoidWithOne.toAddMonoidWithOne.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (NonAssocSemiring.toAddCommMonoidWithOne.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2))))))) (DistribMulAction.toDistribSMul.{u1, max u3 u2} R (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (AddMonoidWithOne.toAddMonoid.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (AddCommMonoidWithOne.toAddMonoidWithOne.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (NonAssocSemiring.toAddCommMonoidWithOne.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))))) (MvPolynomial.distribMulAction.{u1, u2, u3} R S₁ σ (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) _inst_2 _inst_3)))) a f)) (SMul.smul.{u1, u2} R S₁ (SMulZeroClass.toHasSmul.{u1, u2} R S₁ (AddZeroClass.toHasZero.{u2} S₁ (AddMonoid.toAddZeroClass.{u2} S₁ (AddMonoidWithOne.toAddMonoid.{u2} S₁ (AddCommMonoidWithOne.toAddMonoidWithOne.{u2} S₁ (NonAssocSemiring.toAddCommMonoidWithOne.{u2} S₁ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))))))) (DistribSMul.toSmulZeroClass.{u1, u2} R S₁ (AddMonoid.toAddZeroClass.{u2} S₁ (AddMonoidWithOne.toAddMonoid.{u2} S₁ (AddCommMonoidWithOne.toAddMonoidWithOne.{u2} S₁ (NonAssocSemiring.toAddCommMonoidWithOne.{u2} S₁ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)))))) (DistribMulAction.toDistribSMul.{u1, u2} R S₁ (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (AddMonoidWithOne.toAddMonoid.{u2} S₁ (AddCommMonoidWithOne.toAddMonoidWithOne.{u2} S₁ (NonAssocSemiring.toAddCommMonoidWithOne.{u2} S₁ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))))) _inst_3))) a (coeFn.{max (succ (max u3 u2)) (succ u2), max (succ (max u3 u2)) (succ u2)} (RingHom.{max u3 u2, u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (fun (_x : RingHom.{max u3 u2, u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) => (MvPolynomial.{u3, u2} σ S₁ _inst_2) -> S₁) (RingHom.hasCoeToFun.{max u3 u2, u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (MvPolynomial.constantCoeff.{u2, u3} S₁ σ _inst_2) f))
+but is expected to have type
+  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] [_inst_3 : DistribMulAction.{u2, u3} R S₁ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddMonoidWithOne.toAddMonoid.{u3} S₁ (AddCommMonoidWithOne.toAddMonoidWithOne.{u3} S₁ (NonAssocSemiring.toAddCommMonoidWithOne.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))] (a : R) (f : MvPolynomial.{u1, u3} σ S₁ _inst_2), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u3} σ S₁ _inst_2) => S₁) (HSMul.hSMul.{u2, max u3 u1, max u3 u1} R (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (instHSMul.{u2, max u3 u1} R (MvPolynomial.{u1, u3} σ S₁ _inst_2) (SMulZeroClass.toSMul.{u2, max u3 u1} R (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommMonoidWithZero.toZero.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toCommMonoidWithZero.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (DistribSMul.toSMulZeroClass.{u2, max u3 u1} R (MvPolynomial.{u1, u3} σ S₁ _inst_2) (AddMonoid.toAddZeroClass.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (AddMonoidWithOne.toAddMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (AddCommMonoidWithOne.toAddMonoidWithOne.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toAddCommMonoidWithOne.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))))) (DistribMulAction.toDistribSMul.{u2, max u3 u1} R (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddMonoidWithOne.toAddMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (AddCommMonoidWithOne.toAddMonoidWithOne.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toAddCommMonoidWithOne.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))))) (MvPolynomial.distribuMulAction.{u2, u3, u1} R S₁ σ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) _inst_2 _inst_3))))) a f)) (FunLike.coe.{max (succ u1) (succ u3), max (succ u1) (succ u3), succ u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (fun (_x : MvPolynomial.{u1, u3} σ S₁ _inst_2) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u3} σ S₁ _inst_2) => S₁) _x) (MulHomClass.toFunLike.{max u1 u3, max u1 u3, u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (NonUnitalNonAssocSemiring.toMul.{max u1 u3} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u3, max u1 u3, u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u3, max u1 u3, u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{max u1 u3, u3} (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (MvPolynomial.constantCoeff.{u3, u1} S₁ σ _inst_2) (HSMul.hSMul.{u2, max u3 u1, max u3 u1} R (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (instHSMul.{u2, max u3 u1} R (MvPolynomial.{u1, u3} σ S₁ _inst_2) (SMulZeroClass.toSMul.{u2, max u3 u1} R (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommMonoidWithZero.toZero.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toCommMonoidWithZero.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (DistribSMul.toSMulZeroClass.{u2, max u3 u1} R (MvPolynomial.{u1, u3} σ S₁ _inst_2) (AddMonoid.toAddZeroClass.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (AddMonoidWithOne.toAddMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (AddCommMonoidWithOne.toAddMonoidWithOne.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toAddCommMonoidWithOne.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))))) (DistribMulAction.toDistribSMul.{u2, max u3 u1} R (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddMonoidWithOne.toAddMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (AddCommMonoidWithOne.toAddMonoidWithOne.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toAddCommMonoidWithOne.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))))) (MvPolynomial.distribuMulAction.{u2, u3, u1} R S₁ σ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) _inst_2 _inst_3))))) a f)) (HSMul.hSMul.{u2, u3, u3} R ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u3} σ S₁ _inst_2) => S₁) f) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u3} σ S₁ _inst_2) => S₁) f) (instHSMul.{u2, u3} R ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u3} σ S₁ _inst_2) => S₁) f) (SMulZeroClass.toSMul.{u2, u3} R ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u3} σ S₁ _inst_2) => S₁) f) (CommMonoidWithZero.toZero.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u3} σ S₁ _inst_2) => S₁) f) (CommSemiring.toCommMonoidWithZero.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u3} σ S₁ _inst_2) => S₁) f) _inst_2)) (DistribSMul.toSMulZeroClass.{u2, u3} R ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u3} σ S₁ _inst_2) => S₁) f) (AddMonoid.toAddZeroClass.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u3} σ S₁ _inst_2) => S₁) f) (AddMonoidWithOne.toAddMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u3} σ S₁ _inst_2) => S₁) f) (AddCommMonoidWithOne.toAddMonoidWithOne.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u3} σ S₁ _inst_2) => S₁) f) (NonAssocSemiring.toAddCommMonoidWithOne.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u3} σ S₁ _inst_2) => S₁) f) (Semiring.toNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u3} σ S₁ _inst_2) => S₁) f) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u3} σ S₁ _inst_2) => S₁) f) _inst_2)))))) (DistribMulAction.toDistribSMul.{u2, u3} R ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u3} σ S₁ _inst_2) => S₁) f) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddMonoidWithOne.toAddMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u3} σ S₁ _inst_2) => S₁) f) (AddCommMonoidWithOne.toAddMonoidWithOne.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u3} σ S₁ _inst_2) => S₁) f) (NonAssocSemiring.toAddCommMonoidWithOne.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u3} σ S₁ _inst_2) => S₁) f) (Semiring.toNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u3} σ S₁ _inst_2) => S₁) f) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u3} σ S₁ _inst_2) => S₁) f) _inst_2))))) _inst_3)))) a (FunLike.coe.{max (succ u1) (succ u3), max (succ u1) (succ u3), succ u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (fun (_x : MvPolynomial.{u1, u3} σ S₁ _inst_2) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u3} σ S₁ _inst_2) => S₁) _x) (MulHomClass.toFunLike.{max u1 u3, max u1 u3, u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (NonUnitalNonAssocSemiring.toMul.{max u1 u3} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u3, max u1 u3, u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u3, max u1 u3, u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{max u1 u3, u3} (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (MvPolynomial.constantCoeff.{u3, u1} S₁ σ _inst_2) f))
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.constant_coeff_smul MvPolynomial.constantCoeff_smulₓ'. -/
 @[simp]
 theorem constantCoeff_smul [DistribMulAction R S₁] (a : R) (f : MvPolynomial σ S₁) :
     constantCoeff (a • f) = a • constantCoeff f :=
   rfl
 #align mv_polynomial.constant_coeff_smul MvPolynomial.constantCoeff_smul
 
+/- warning: mv_polynomial.constant_coeff_monomial -> MvPolynomial.constantCoeff_monomial is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_3 : DecidableEq.{succ u2} σ] (d : Finsupp.{u2, 0} σ Nat Nat.hasZero) (r : R), Eq.{succ u1} R (coeFn.{max (succ (max u2 u1)) (succ u1), max (succ (max u2 u1)) (succ u1)} (RingHom.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (fun (_x : RingHom.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) => (MvPolynomial.{u2, u1} σ R _inst_1) -> R) (RingHom.hasCoeToFun.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.constantCoeff.{u1, u2} R σ _inst_1) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 d) r)) (ite.{succ u1} R (Eq.{succ u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) d (OfNat.ofNat.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) 0 (OfNat.mk.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) 0 (Zero.zero.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.zero.{u2, 0} σ Nat Nat.hasZero))))) (Finsupp.decidableEq.{u2, 0} σ Nat Nat.hasZero (fun (a : σ) (b : σ) => _inst_3 a b) (fun (a : Nat) (b : Nat) => Nat.decidableEq a b) d (OfNat.ofNat.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) 0 (OfNat.mk.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) 0 (Zero.zero.{u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (Finsupp.zero.{u2, 0} σ Nat Nat.hasZero))))) r (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))))))
+but is expected to have type
+  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_3 : DecidableEq.{succ u1} σ] (d : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (r : R), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (a : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 d) r)) (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), succ u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) _x) (MulHomClass.toFunLike.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (RingHom.instRingHomClassRingHom.{max u1 u2, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))))) (MvPolynomial.constantCoeff.{u2, u1} R σ _inst_1) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 d) r)) (ite.{succ u2} R (Eq.{succ u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) d (OfNat.ofNat.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) 0 (Zero.toOfNat0.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.zero.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))))) (Finsupp.decidableEq.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) (fun (a : σ) (b : σ) => _inst_3 a b) (fun (a : Nat) (b : Nat) => instDecidableEqNat a b) d (OfNat.ofNat.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) 0 (Zero.toOfNat0.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (Finsupp.zero.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))))) r (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1)))))
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.constant_coeff_monomial MvPolynomial.constantCoeff_monomialₓ'. -/
 theorem constantCoeff_monomial [DecidableEq σ] (d : σ →₀ ℕ) (r : R) :
     constantCoeff (monomial d r) = if d = 0 then r else 0 := by
   rw [constant_coeff_eq, coeff_monomial]
@@ -860,29 +1522,53 @@ theorem constantCoeff_monomial [DecidableEq σ] (d : σ →₀ ℕ) (r : R) :
 
 variable (σ R)
 
+/- warning: mv_polynomial.constant_coeff_comp_C -> MvPolynomial.constantCoeff_comp_C is a dubious translation:
+lean 3 declaration is
+  forall (R : Type.{u1}) (σ : Type.{u2}) [_inst_1 : CommSemiring.{u1} R], Eq.{succ u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.comp.{u1, max u2 u1, u1} R (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.constantCoeff.{u1, u2} R σ _inst_1) (MvPolynomial.C.{u1, u2} R σ _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))
+but is expected to have type
+  forall (R : Type.{u2}) (σ : Type.{u1}) [_inst_1 : CommSemiring.{u2} R], Eq.{succ u2} (RingHom.{u2, u2} R R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.comp.{u2, max u1 u2, u2} R (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.constantCoeff.{u2, u1} R σ _inst_1) (MvPolynomial.C.{u2, u1} R σ _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.constant_coeff_comp_C MvPolynomial.constantCoeff_comp_Cₓ'. -/
 @[simp]
-theorem constantCoeff_comp_c : constantCoeff.comp (c : R →+* MvPolynomial σ R) = RingHom.id R :=
+theorem constantCoeff_comp_C : constantCoeff.comp (C : R →+* MvPolynomial σ R) = RingHom.id R :=
   by
   ext x
   exact constant_coeff_C σ x
-#align mv_polynomial.constant_coeff_comp_C MvPolynomial.constantCoeff_comp_c
+#align mv_polynomial.constant_coeff_comp_C MvPolynomial.constantCoeff_comp_C
 
+/- warning: mv_polynomial.constant_coeff_comp_algebra_map -> MvPolynomial.constantCoeff_comp_algebraMap is a dubious translation:
+lean 3 declaration is
+  forall (R : Type.{u1}) (σ : Type.{u2}) [_inst_1 : CommSemiring.{u1} R], Eq.{succ u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.comp.{u1, max u2 u1, u1} R (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.constantCoeff.{u1, u2} R σ _inst_1) (algebraMap.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))
+but is expected to have type
+  forall (R : Type.{u2}) (σ : Type.{u1}) [_inst_1 : CommSemiring.{u2} R], Eq.{succ u2} (RingHom.{u2, u2} R R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.comp.{u2, max u1 u2, u2} R (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.constantCoeff.{u2, u1} R σ _inst_1) (algebraMap.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.constant_coeff_comp_algebra_map MvPolynomial.constantCoeff_comp_algebraMapₓ'. -/
 @[simp]
 theorem constantCoeff_comp_algebraMap :
     constantCoeff.comp (algebraMap R (MvPolynomial σ R)) = RingHom.id R :=
-  constantCoeff_comp_c _ _
+  constantCoeff_comp_C _ _
 #align mv_polynomial.constant_coeff_comp_algebra_map MvPolynomial.constantCoeff_comp_algebraMap
 
 end ConstantCoeff
 
 section AsSum
 
+/- warning: mv_polynomial.support_sum_monomial_coeff -> MvPolynomial.support_sum_monomial_coeff is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] (p : MvPolynomial.{u2, u1} σ R _inst_1), Eq.{succ (max u2 u1)} (MvPolynomial.{u2, u1} σ R _inst_1) (Finset.sum.{max u2 u1, u2} (MvPolynomial.{u2, u1} σ R _inst_1) (Finsupp.{u2, 0} σ Nat Nat.hasZero) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (MvPolynomial.support.{u1, u2} R σ _inst_1 p) (fun (v : Finsupp.{u2, 0} σ Nat Nat.hasZero) => coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 v) (MvPolynomial.coeff.{u1, u2} R σ _inst_1 v p))) p
+but is expected to have type
+  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] (p : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{max (succ u2) (succ u1)} (MvPolynomial.{u1, u2} σ R _inst_1) (Finset.sum.{max u2 u1, u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (MvPolynomial.support.{u2, u1} R σ _inst_1 p) (fun (v : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 v) (MvPolynomial.coeff.{u2, u1} R σ _inst_1 v p))) p
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.support_sum_monomial_coeff MvPolynomial.support_sum_monomial_coeffₓ'. -/
 @[simp]
 theorem support_sum_monomial_coeff (p : MvPolynomial σ R) :
     (∑ v in p.support, monomial v (coeff v p)) = p :=
   Finsupp.sum_single p
 #align mv_polynomial.support_sum_monomial_coeff MvPolynomial.support_sum_monomial_coeff
 
+/- warning: mv_polynomial.as_sum -> MvPolynomial.as_sum is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] (p : MvPolynomial.{u2, u1} σ R _inst_1), Eq.{max (succ u2) (succ u1)} (MvPolynomial.{u2, u1} σ R _inst_1) p (Finset.sum.{max u2 u1, u2} (MvPolynomial.{u2, u1} σ R _inst_1) (Finsupp.{u2, 0} σ Nat Nat.hasZero) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (MvPolynomial.support.{u1, u2} R σ _inst_1 p) (fun (v : Finsupp.{u2, 0} σ Nat Nat.hasZero) => coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 v) (MvPolynomial.coeff.{u1, u2} R σ _inst_1 v p)))
+but is expected to have type
+  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] (p : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{max (succ u2) (succ u1)} (MvPolynomial.{u1, u2} σ R _inst_1) p (Finset.sum.{max u2 u1, u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (MvPolynomial.support.{u2, u1} R σ _inst_1 p) (fun (v : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 v) (MvPolynomial.coeff.{u2, u1} R σ _inst_1 v p)))
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.as_sum MvPolynomial.as_sumₓ'. -/
 theorem as_sum (p : MvPolynomial σ R) : p = ∑ v in p.support, monomial v (coeff v p) :=
   (support_sum_monomial_coeff p).symm
 #align mv_polynomial.as_sum MvPolynomial.as_sum
@@ -893,17 +1579,31 @@ section Eval₂
 
 variable (f : R →+* S₁) (g : σ → S₁)
 
+#print MvPolynomial.eval₂ /-
 /-- Evaluate a polynomial `p` given a valuation `g` of all the variables
   and a ring hom `f` from the scalar ring to the target -/
 def eval₂ (p : MvPolynomial σ R) : S₁ :=
   p.Sum fun s a => f a * s.Prod fun n e => g n ^ e
 #align mv_polynomial.eval₂ MvPolynomial.eval₂
+-/
 
+/- warning: mv_polynomial.eval₂_eq -> MvPolynomial.eval₂_eq is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {S₁ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] (g : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (x : σ -> S₁) (f : MvPolynomial.{u3, u1} σ R _inst_1), Eq.{succ u2} S₁ (MvPolynomial.eval₂.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 g x f) (Finset.sum.{u2, u3} S₁ (Finsupp.{u3, 0} σ Nat Nat.hasZero) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S₁ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)))) (MvPolynomial.support.{u1, u3} R σ _inst_1 f) (fun (d : Finsupp.{u3, 0} σ Nat Nat.hasZero) => HMul.hMul.{u2, u2, u2} S₁ S₁ S₁ (instHMul.{u2} S₁ (Distrib.toHasMul.{u2} S₁ (NonUnitalNonAssocSemiring.toDistrib.{u2} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S₁ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)))))) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (fun (_x : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) => R -> S₁) (RingHom.hasCoeToFun.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) g (MvPolynomial.coeff.{u1, u3} R σ _inst_1 d f)) (Finset.prod.{u2, u3} S₁ σ (CommSemiring.toCommMonoid.{u2} S₁ _inst_2) (Finsupp.support.{u3, 0} σ Nat Nat.hasZero d) (fun (i : σ) => HPow.hPow.{u2, 0, u2} S₁ Nat S₁ (instHPow.{u2, 0} S₁ Nat (Monoid.Pow.{u2} S₁ (MonoidWithZero.toMonoid.{u2} S₁ (Semiring.toMonoidWithZero.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))))) (x i) (coeFn.{succ u3, succ u3} (Finsupp.{u3, 0} σ Nat Nat.hasZero) (fun (_x : Finsupp.{u3, 0} σ Nat Nat.hasZero) => σ -> Nat) (Finsupp.coeFun.{u3, 0} σ Nat Nat.hasZero) d i)))))
+but is expected to have type
+  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] (g : RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (x : σ -> S₁) (f : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{succ u3} S₁ (MvPolynomial.eval₂.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 g x f) (Finset.sum.{u3, u1} S₁ (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (MvPolynomial.support.{u2, u1} R σ _inst_1 f) (fun (d : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => HMul.hMul.{u3, u3, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) (MvPolynomial.coeff.{u2, u1} R σ _inst_1 d f)) S₁ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) (MvPolynomial.coeff.{u2, u1} R σ _inst_1 d f)) (instHMul.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) (MvPolynomial.coeff.{u2, u1} R σ _inst_1 d f)) (NonUnitalNonAssocSemiring.toMul.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) (MvPolynomial.coeff.{u2, u1} R σ _inst_1 d f)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) (MvPolynomial.coeff.{u2, u1} R σ _inst_1 d f)) (Semiring.toNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) (MvPolynomial.coeff.{u2, u1} R σ _inst_1 d f)) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) (MvPolynomial.coeff.{u2, u1} R σ _inst_1 d f)) _inst_2))))) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) _x) (MulHomClass.toFunLike.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) g (MvPolynomial.coeff.{u2, u1} R σ _inst_1 d f)) (Finset.prod.{u3, u1} S₁ σ (CommSemiring.toCommMonoid.{u3} S₁ _inst_2) (Finsupp.support.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) d) (fun (i : σ) => HPow.hPow.{u3, 0, u3} S₁ ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : σ) => Nat) i) S₁ (instHPow.{u3, 0} S₁ ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : σ) => Nat) i) (Monoid.Pow.{u3} S₁ (MonoidWithZero.toMonoid.{u3} S₁ (Semiring.toMonoidWithZero.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))))) (x i) (FunLike.coe.{succ u1, succ u1, 1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) σ (fun (_x : σ) => (fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : σ) => Nat) _x) (Finsupp.funLike.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) d i)))))
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval₂_eq MvPolynomial.eval₂_eqₓ'. -/
 theorem eval₂_eq (g : R →+* S₁) (x : σ → S₁) (f : MvPolynomial σ R) :
     f.eval₂ g x = ∑ d in f.support, g (f.coeff d) * ∏ i in d.support, x i ^ d i :=
   rfl
 #align mv_polynomial.eval₂_eq MvPolynomial.eval₂_eq
 
+/- warning: mv_polynomial.eval₂_eq' -> MvPolynomial.eval₂_eq' is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {S₁ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] [_inst_3 : Fintype.{u3} σ] (g : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (x : σ -> S₁) (f : MvPolynomial.{u3, u1} σ R _inst_1), Eq.{succ u2} S₁ (MvPolynomial.eval₂.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 g x f) (Finset.sum.{u2, u3} S₁ (Finsupp.{u3, 0} σ Nat Nat.hasZero) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S₁ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)))) (MvPolynomial.support.{u1, u3} R σ _inst_1 f) (fun (d : Finsupp.{u3, 0} σ Nat Nat.hasZero) => HMul.hMul.{u2, u2, u2} S₁ S₁ S₁ (instHMul.{u2} S₁ (Distrib.toHasMul.{u2} S₁ (NonUnitalNonAssocSemiring.toDistrib.{u2} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S₁ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)))))) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (fun (_x : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) => R -> S₁) (RingHom.hasCoeToFun.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) g (MvPolynomial.coeff.{u1, u3} R σ _inst_1 d f)) (Finset.prod.{u2, u3} S₁ σ (CommSemiring.toCommMonoid.{u2} S₁ _inst_2) (Finset.univ.{u3} σ _inst_3) (fun (i : σ) => HPow.hPow.{u2, 0, u2} S₁ Nat S₁ (instHPow.{u2, 0} S₁ Nat (Monoid.Pow.{u2} S₁ (MonoidWithZero.toMonoid.{u2} S₁ (Semiring.toMonoidWithZero.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))))) (x i) (coeFn.{succ u3, succ u3} (Finsupp.{u3, 0} σ Nat Nat.hasZero) (fun (_x : Finsupp.{u3, 0} σ Nat Nat.hasZero) => σ -> Nat) (Finsupp.coeFun.{u3, 0} σ Nat Nat.hasZero) d i)))))
+but is expected to have type
+  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] [_inst_3 : Fintype.{u1} σ] (g : RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (x : σ -> S₁) (f : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{succ u3} S₁ (MvPolynomial.eval₂.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 g x f) (Finset.sum.{u3, u1} S₁ (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (MvPolynomial.support.{u2, u1} R σ _inst_1 f) (fun (d : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => HMul.hMul.{u3, u3, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) (MvPolynomial.coeff.{u2, u1} R σ _inst_1 d f)) S₁ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) (MvPolynomial.coeff.{u2, u1} R σ _inst_1 d f)) (instHMul.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) (MvPolynomial.coeff.{u2, u1} R σ _inst_1 d f)) (NonUnitalNonAssocSemiring.toMul.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) (MvPolynomial.coeff.{u2, u1} R σ _inst_1 d f)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) (MvPolynomial.coeff.{u2, u1} R σ _inst_1 d f)) (Semiring.toNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) (MvPolynomial.coeff.{u2, u1} R σ _inst_1 d f)) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) (MvPolynomial.coeff.{u2, u1} R σ _inst_1 d f)) _inst_2))))) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) _x) (MulHomClass.toFunLike.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) g (MvPolynomial.coeff.{u2, u1} R σ _inst_1 d f)) (Finset.prod.{u3, u1} S₁ σ (CommSemiring.toCommMonoid.{u3} S₁ _inst_2) (Finset.univ.{u1} σ _inst_3) (fun (i : σ) => HPow.hPow.{u3, 0, u3} S₁ ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : σ) => Nat) i) S₁ (instHPow.{u3, 0} S₁ ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : σ) => Nat) i) (Monoid.Pow.{u3} S₁ (MonoidWithZero.toMonoid.{u3} S₁ (Semiring.toMonoidWithZero.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))))) (x i) (FunLike.coe.{succ u1, succ u1, 1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) σ (fun (_x : σ) => (fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : σ) => Nat) _x) (Finsupp.funLike.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) d i)))))
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval₂_eq' MvPolynomial.eval₂_eq'ₓ'. -/
 theorem eval₂_eq' [Fintype σ] (g : R →+* S₁) (x : σ → S₁) (f : MvPolynomial σ R) :
     f.eval₂ g x = ∑ d in f.support, g (f.coeff d) * ∏ i, x i ^ d i :=
   by
@@ -911,6 +1611,12 @@ theorem eval₂_eq' [Fintype σ] (g : R →+* S₁) (x : σ → S₁) (f : MvPol
   rfl
 #align mv_polynomial.eval₂_eq' MvPolynomial.eval₂_eq'
 
+/- warning: mv_polynomial.eval₂_zero -> MvPolynomial.eval₂_zero is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {S₁ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] (f : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (g : σ -> S₁), Eq.{succ u2} S₁ (MvPolynomial.eval₂.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 f g (OfNat.ofNat.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) 0 (OfNat.mk.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) 0 (Zero.zero.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MulZeroClass.toHasZero.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toMulZeroClass.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)))))))))) (OfNat.ofNat.{u2} S₁ 0 (OfNat.mk.{u2} S₁ 0 (Zero.zero.{u2} S₁ (MulZeroClass.toHasZero.{u2} S₁ (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S₁ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))))))))
+but is expected to have type
+  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] (f : RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (g : σ -> S₁), Eq.{succ u3} S₁ (MvPolynomial.eval₂.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f g (OfNat.ofNat.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) 0 (Zero.toOfNat0.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommMonoidWithZero.toZero.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toCommMonoidWithZero.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (OfNat.ofNat.{u3} S₁ 0 (Zero.toOfNat0.{u3} S₁ (CommMonoidWithZero.toZero.{u3} S₁ (CommSemiring.toCommMonoidWithZero.{u3} S₁ _inst_2))))
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval₂_zero MvPolynomial.eval₂_zeroₓ'. -/
 @[simp]
 theorem eval₂_zero : (0 : MvPolynomial σ R).eval₂ f g = 0 :=
   Finsupp.sum_zero_index
@@ -918,31 +1624,67 @@ theorem eval₂_zero : (0 : MvPolynomial σ R).eval₂ f g = 0 :=
 
 section
 
+/- warning: mv_polynomial.eval₂_add -> MvPolynomial.eval₂_add is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {S₁ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] {p : MvPolynomial.{u3, u1} σ R _inst_1} {q : MvPolynomial.{u3, u1} σ R _inst_1} (f : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (g : σ -> S₁), Eq.{succ u2} S₁ (MvPolynomial.eval₂.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 f g (HAdd.hAdd.{max u3 u1, max u3 u1, max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u1} σ R _inst_1) (instHAdd.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Distrib.toHasAdd.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))))) p q)) (HAdd.hAdd.{u2, u2, u2} S₁ S₁ S₁ (instHAdd.{u2} S₁ (Distrib.toHasAdd.{u2} S₁ (NonUnitalNonAssocSemiring.toDistrib.{u2} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S₁ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)))))) (MvPolynomial.eval₂.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 f g p) (MvPolynomial.eval₂.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 f g q))
+but is expected to have type
+  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] {p : MvPolynomial.{u1, u2} σ R _inst_1} {q : MvPolynomial.{u1, u2} σ R _inst_1} (f : RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (g : σ -> S₁), Eq.{succ u3} S₁ (MvPolynomial.eval₂.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f g (HAdd.hAdd.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (instHAdd.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Distrib.toAdd.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) p q)) (HAdd.hAdd.{u3, u3, u3} S₁ S₁ S₁ (instHAdd.{u3} S₁ (Distrib.toAdd.{u3} S₁ (NonUnitalNonAssocSemiring.toDistrib.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (MvPolynomial.eval₂.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f g p) (MvPolynomial.eval₂.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f g q))
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval₂_add MvPolynomial.eval₂_addₓ'. -/
 @[simp]
 theorem eval₂_add : (p + q).eval₂ f g = p.eval₂ f g + q.eval₂ f g :=
   Finsupp.sum_add_index (by simp [f.map_zero]) (by simp [add_mul, f.map_add])
 #align mv_polynomial.eval₂_add MvPolynomial.eval₂_add
 
+/- warning: mv_polynomial.eval₂_monomial -> MvPolynomial.eval₂_monomial is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {S₁ : Type.{u2}} {σ : Type.{u3}} {a : R} {s : Finsupp.{u3, 0} σ Nat Nat.hasZero} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] (f : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (g : σ -> S₁), Eq.{succ u2} S₁ (MvPolynomial.eval₂.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 f g (coeFn.{max (succ u1) (succ (max u3 u1)), max (succ u1) (succ (max u3 u1))} (LinearMap.{u1, u1, u1, max u3 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u3, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u3 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u3, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u3, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u3 u1} R R R (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u3} R σ _inst_1 s) a)) (HMul.hMul.{u2, u2, u2} S₁ S₁ S₁ (instHMul.{u2} S₁ (Distrib.toHasMul.{u2} S₁ (NonUnitalNonAssocSemiring.toDistrib.{u2} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S₁ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)))))) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (fun (_x : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) => R -> S₁) (RingHom.hasCoeToFun.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) f a) (Finsupp.prod.{u3, 0, u2} σ Nat S₁ Nat.hasZero (CommSemiring.toCommMonoid.{u2} S₁ _inst_2) s (fun (n : σ) (e : Nat) => HPow.hPow.{u2, 0, u2} S₁ Nat S₁ (instHPow.{u2, 0} S₁ Nat (Monoid.Pow.{u2} S₁ (MonoidWithZero.toMonoid.{u2} S₁ (Semiring.toMonoidWithZero.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))))) (g n) e)))
+but is expected to have type
+  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} {a : R} {s : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] (f : RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (g : σ -> S₁), Eq.{succ u3} S₁ (MvPolynomial.eval₂.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f g (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s) a)) (HMul.hMul.{u3, u3, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) S₁ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) (instHMul.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) (NonUnitalNonAssocSemiring.toMul.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) (Semiring.toNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) _inst_2))))) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) _x) (MulHomClass.toFunLike.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) f a) (Finsupp.prod.{u1, 0, u3} σ Nat S₁ (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) (CommSemiring.toCommMonoid.{u3} S₁ _inst_2) s (fun (n : σ) (e : Nat) => HPow.hPow.{u3, 0, u3} S₁ Nat S₁ (instHPow.{u3, 0} S₁ Nat (Monoid.Pow.{u3} S₁ (MonoidWithZero.toMonoid.{u3} S₁ (Semiring.toMonoidWithZero.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))))) (g n) e)))
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval₂_monomial MvPolynomial.eval₂_monomialₓ'. -/
 @[simp]
 theorem eval₂_monomial : (monomial s a).eval₂ f g = f a * s.Prod fun n e => g n ^ e :=
   Finsupp.sum_single_index (by simp [f.map_zero])
 #align mv_polynomial.eval₂_monomial MvPolynomial.eval₂_monomial
 
+/- warning: mv_polynomial.eval₂_C -> MvPolynomial.eval₂_C is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {S₁ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] (f : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (g : σ -> S₁) (a : R), Eq.{succ u2} S₁ (MvPolynomial.eval₂.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 f g (coeFn.{max (succ u1) (succ (max u3 u1)), max (succ u1) (succ (max u3 u1))} (RingHom.{u1, max u3 u1} R (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)))) (fun (_x : RingHom.{u1, max u3 u1} R (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)))) => R -> (MvPolynomial.{u3, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{u1, max u3 u1} R (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)))) (MvPolynomial.C.{u1, u3} R σ _inst_1) a)) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (fun (_x : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) => R -> S₁) (RingHom.hasCoeToFun.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) f a)
+but is expected to have type
+  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] (f : RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (g : σ -> S₁) (a : R), Eq.{succ u3} S₁ (MvPolynomial.eval₂.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f g (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) a)) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) _x) (MulHomClass.toFunLike.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) f a)
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval₂_C MvPolynomial.eval₂_Cₓ'. -/
 @[simp]
-theorem eval₂_c (a) : (c a).eval₂ f g = f a := by
+theorem eval₂_C (a) : (C a).eval₂ f g = f a := by
   rw [C_apply, eval₂_monomial, prod_zero_index, mul_one]
-#align mv_polynomial.eval₂_C MvPolynomial.eval₂_c
+#align mv_polynomial.eval₂_C MvPolynomial.eval₂_C
 
+/- warning: mv_polynomial.eval₂_one -> MvPolynomial.eval₂_one is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {S₁ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] (f : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (g : σ -> S₁), Eq.{succ u2} S₁ (MvPolynomial.eval₂.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 f g (OfNat.ofNat.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) 1 (OfNat.mk.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) 1 (One.one.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (AddMonoidWithOne.toOne.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (AddCommMonoidWithOne.toAddMonoidWithOne.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toAddCommMonoidWithOne.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)))))))))) (OfNat.ofNat.{u2} S₁ 1 (OfNat.mk.{u2} S₁ 1 (One.one.{u2} S₁ (AddMonoidWithOne.toOne.{u2} S₁ (AddCommMonoidWithOne.toAddMonoidWithOne.{u2} S₁ (NonAssocSemiring.toAddCommMonoidWithOne.{u2} S₁ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))))))))
+but is expected to have type
+  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] (f : RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (g : σ -> S₁), Eq.{succ u3} S₁ (MvPolynomial.eval₂.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f g (OfNat.ofNat.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) 1 (One.toOfNat1.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toOne.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (OfNat.ofNat.{u3} S₁ 1 (One.toOfNat1.{u3} S₁ (Semiring.toOne.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))))
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval₂_one MvPolynomial.eval₂_oneₓ'. -/
 @[simp]
 theorem eval₂_one : (1 : MvPolynomial σ R).eval₂ f g = 1 :=
-  (eval₂_c _ _ _).trans f.map_one
+  (eval₂_C _ _ _).trans f.map_one
 #align mv_polynomial.eval₂_one MvPolynomial.eval₂_one
 
+/- warning: mv_polynomial.eval₂_X -> MvPolynomial.eval₂_X is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {S₁ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] (f : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (g : σ -> S₁) (n : σ), Eq.{succ u2} S₁ (MvPolynomial.eval₂.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 f g (MvPolynomial.X.{u1, u3} R σ _inst_1 n)) (g n)
+but is expected to have type
+  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] (f : RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (g : σ -> S₁) (n : σ), Eq.{succ u3} S₁ (MvPolynomial.eval₂.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f g (MvPolynomial.X.{u2, u1} R σ _inst_1 n)) (g n)
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval₂_X MvPolynomial.eval₂_Xₓ'. -/
 @[simp]
-theorem eval₂_x (n) : (x n).eval₂ f g = g n := by
+theorem eval₂_X (n) : (X n).eval₂ f g = g n := by
   simp [eval₂_monomial, f.map_one, X, prod_single_index, pow_one]
-#align mv_polynomial.eval₂_X MvPolynomial.eval₂_x
-
+#align mv_polynomial.eval₂_X MvPolynomial.eval₂_X
+
+/- warning: mv_polynomial.eval₂_mul_monomial -> MvPolynomial.eval₂_mul_monomial is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {S₁ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] {p : MvPolynomial.{u3, u1} σ R _inst_1} (f : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (g : σ -> S₁) {s : Finsupp.{u3, 0} σ Nat Nat.hasZero} {a : R}, Eq.{succ u2} S₁ (MvPolynomial.eval₂.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 f g (HMul.hMul.{max u3 u1, max u3 u1, max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u1} σ R _inst_1) (instHMul.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Distrib.toHasMul.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))))) p (coeFn.{max (succ u1) (succ (max u3 u1)), max (succ u1) (succ (max u3 u1))} (LinearMap.{u1, u1, u1, max u3 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u3, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u3 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u3, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u3, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u3 u1} R R R (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u3} R σ _inst_1 s) a))) (HMul.hMul.{u2, u2, u2} S₁ S₁ S₁ (instHMul.{u2} S₁ (Distrib.toHasMul.{u2} S₁ (NonUnitalNonAssocSemiring.toDistrib.{u2} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S₁ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)))))) (HMul.hMul.{u2, u2, u2} S₁ S₁ S₁ (instHMul.{u2} S₁ (Distrib.toHasMul.{u2} S₁ (NonUnitalNonAssocSemiring.toDistrib.{u2} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S₁ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)))))) (MvPolynomial.eval₂.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 f g p) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (fun (_x : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) => R -> S₁) (RingHom.hasCoeToFun.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) f a)) (Finsupp.prod.{u3, 0, u2} σ Nat S₁ Nat.hasZero (CommSemiring.toCommMonoid.{u2} S₁ _inst_2) s (fun (n : σ) (e : Nat) => HPow.hPow.{u2, 0, u2} S₁ Nat S₁ (instHPow.{u2, 0} S₁ Nat (Monoid.Pow.{u2} S₁ (MonoidWithZero.toMonoid.{u2} S₁ (Semiring.toMonoidWithZero.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))))) (g n) e)))
+but is expected to have type
+  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] {p : MvPolynomial.{u1, u2} σ R _inst_1} (f : RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (g : σ -> S₁) {s : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)} {a : R}, Eq.{succ u3} S₁ (MvPolynomial.eval₂.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f g (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (MvPolynomial.{u1, u2} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) p (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s) a))) (HMul.hMul.{u3, u3, u3} S₁ S₁ S₁ (instHMul.{u3} S₁ (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))))) (HMul.hMul.{u3, u3, u3} S₁ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) S₁ (instHMul.{u3} S₁ (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))))) (MvPolynomial.eval₂.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f g p) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) _x) (MulHomClass.toFunLike.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) f a)) (Finsupp.prod.{u1, 0, u3} σ Nat S₁ (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) (CommSemiring.toCommMonoid.{u3} S₁ _inst_2) s (fun (n : σ) (e : Nat) => HPow.hPow.{u3, 0, u3} S₁ Nat S₁ (instHPow.{u3, 0} S₁ Nat (Monoid.Pow.{u3} S₁ (MonoidWithZero.toMonoid.{u3} S₁ (Semiring.toMonoidWithZero.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))))) (g n) e)))
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval₂_mul_monomial MvPolynomial.eval₂_mul_monomialₓ'. -/
 theorem eval₂_mul_monomial :
     ∀ {s a}, (p * monomial s a).eval₂ f g = p.eval₂ f g * f a * s.Prod fun n e => g n ^ e :=
   by
@@ -962,10 +1704,22 @@ theorem eval₂_mul_monomial :
         
 #align mv_polynomial.eval₂_mul_monomial MvPolynomial.eval₂_mul_monomial
 
-theorem eval₂_mul_c : (p * c a).eval₂ f g = p.eval₂ f g * f a :=
+/- warning: mv_polynomial.eval₂_mul_C -> MvPolynomial.eval₂_mul_C is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {S₁ : Type.{u2}} {σ : Type.{u3}} {a : R} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] {p : MvPolynomial.{u3, u1} σ R _inst_1} (f : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (g : σ -> S₁), Eq.{succ u2} S₁ (MvPolynomial.eval₂.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 f g (HMul.hMul.{max u3 u1, max u3 u1, max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u1} σ R _inst_1) (instHMul.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Distrib.toHasMul.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))))) p (coeFn.{max (succ u1) (succ (max u3 u1)), max (succ u1) (succ (max u3 u1))} (RingHom.{u1, max u3 u1} R (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)))) (fun (_x : RingHom.{u1, max u3 u1} R (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)))) => R -> (MvPolynomial.{u3, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{u1, max u3 u1} R (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)))) (MvPolynomial.C.{u1, u3} R σ _inst_1) a))) (HMul.hMul.{u2, u2, u2} S₁ S₁ S₁ (instHMul.{u2} S₁ (Distrib.toHasMul.{u2} S₁ (NonUnitalNonAssocSemiring.toDistrib.{u2} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S₁ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)))))) (MvPolynomial.eval₂.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 f g p) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (fun (_x : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) => R -> S₁) (RingHom.hasCoeToFun.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) f a))
+but is expected to have type
+  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} {a : R} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] {p : MvPolynomial.{u1, u2} σ R _inst_1} (f : RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (g : σ -> S₁), Eq.{succ u3} S₁ (MvPolynomial.eval₂.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f g (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (MvPolynomial.{u1, u2} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) p (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) a))) (HMul.hMul.{u3, u3, u3} S₁ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) S₁ (instHMul.{u3} S₁ (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))))) (MvPolynomial.eval₂.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f g p) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) _x) (MulHomClass.toFunLike.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) f a))
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval₂_mul_C MvPolynomial.eval₂_mul_Cₓ'. -/
+theorem eval₂_mul_C : (p * C a).eval₂ f g = p.eval₂ f g * f a :=
   (eval₂_mul_monomial _ _).trans <| by simp
-#align mv_polynomial.eval₂_mul_C MvPolynomial.eval₂_mul_c
+#align mv_polynomial.eval₂_mul_C MvPolynomial.eval₂_mul_C
 
+/- warning: mv_polynomial.eval₂_mul -> MvPolynomial.eval₂_mul is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {S₁ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] {q : MvPolynomial.{u3, u1} σ R _inst_1} (f : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (g : σ -> S₁) {p : MvPolynomial.{u3, u1} σ R _inst_1}, Eq.{succ u2} S₁ (MvPolynomial.eval₂.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 f g (HMul.hMul.{max u3 u1, max u3 u1, max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u1} σ R _inst_1) (instHMul.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Distrib.toHasMul.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toDistrib.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))))) p q)) (HMul.hMul.{u2, u2, u2} S₁ S₁ S₁ (instHMul.{u2} S₁ (Distrib.toHasMul.{u2} S₁ (NonUnitalNonAssocSemiring.toDistrib.{u2} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S₁ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)))))) (MvPolynomial.eval₂.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 f g p) (MvPolynomial.eval₂.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 f g q))
+but is expected to have type
+  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] {q : MvPolynomial.{u1, u2} σ R _inst_1} (f : RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (g : σ -> S₁) {p : MvPolynomial.{u1, u2} σ R _inst_1}, Eq.{succ u3} S₁ (MvPolynomial.eval₂.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f g (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (instHMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) p q)) (HMul.hMul.{u3, u3, u3} S₁ S₁ S₁ (instHMul.{u3} S₁ (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))))) (MvPolynomial.eval₂.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f g p) (MvPolynomial.eval₂.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f g q))
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval₂_mul MvPolynomial.eval₂_mulₓ'. -/
 @[simp]
 theorem eval₂_mul : ∀ {p}, (p * q).eval₂ f g = p.eval₂ f g * q.eval₂ f g :=
   by
@@ -975,6 +1729,12 @@ theorem eval₂_mul : ∀ {p}, (p * q).eval₂ f g = p.eval₂ f g * q.eval₂ f
   · simp (config := { contextual := true }) [X, eval₂_monomial, eval₂_mul_monomial, ← mul_assoc]
 #align mv_polynomial.eval₂_mul MvPolynomial.eval₂_mul
 
+/- warning: mv_polynomial.eval₂_pow -> MvPolynomial.eval₂_pow is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {S₁ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] (f : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (g : σ -> S₁) {p : MvPolynomial.{u3, u1} σ R _inst_1} {n : Nat}, Eq.{succ u2} S₁ (MvPolynomial.eval₂.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 f g (HPow.hPow.{max u3 u1, 0, max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) Nat (MvPolynomial.{u3, u1} σ R _inst_1) (instHPow.{max u3 u1, 0} (MvPolynomial.{u3, u1} σ R _inst_1) Nat (Monoid.Pow.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MonoidWithZero.toMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toMonoidWithZero.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)))))) p n)) (HPow.hPow.{u2, 0, u2} S₁ Nat S₁ (instHPow.{u2, 0} S₁ Nat (Monoid.Pow.{u2} S₁ (MonoidWithZero.toMonoid.{u2} S₁ (Semiring.toMonoidWithZero.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))))) (MvPolynomial.eval₂.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 f g p) n)
+but is expected to have type
+  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] (f : RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (g : σ -> S₁) {p : MvPolynomial.{u1, u2} σ R _inst_1} {n : Nat}, Eq.{succ u3} S₁ (MvPolynomial.eval₂.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f g (HPow.hPow.{max u2 u1, 0, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) Nat (MvPolynomial.{u1, u2} σ R _inst_1) (instHPow.{max u2 u1, 0} (MvPolynomial.{u1, u2} σ R _inst_1) Nat (Monoid.Pow.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MonoidWithZero.toMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toMonoidWithZero.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) p n)) (HPow.hPow.{u3, 0, u3} S₁ Nat S₁ (instHPow.{u3, 0} S₁ Nat (Monoid.Pow.{u3} S₁ (MonoidWithZero.toMonoid.{u3} S₁ (Semiring.toMonoidWithZero.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))))) (MvPolynomial.eval₂.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f g p) n)
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval₂_pow MvPolynomial.eval₂_powₓ'. -/
 @[simp]
 theorem eval₂_pow {p : MvPolynomial σ R} : ∀ {n : ℕ}, (p ^ n).eval₂ f g = p.eval₂ f g ^ n
   | 0 => by
@@ -983,6 +1743,7 @@ theorem eval₂_pow {p : MvPolynomial σ R} : ∀ {n : ℕ}, (p ^ n).eval₂ f g
   | n + 1 => by rw [pow_add, pow_one, pow_add, pow_one, eval₂_mul, eval₂_pow]
 #align mv_polynomial.eval₂_pow MvPolynomial.eval₂_pow
 
+#print MvPolynomial.eval₂Hom /-
 /-- `mv_polynomial.eval₂` as a `ring_hom`. -/
 def eval₂Hom (f : R →+* S₁) (g : σ → S₁) : MvPolynomial σ R →+* S₁
     where
@@ -992,12 +1753,25 @@ def eval₂Hom (f : R →+* S₁) (g : σ → S₁) : MvPolynomial σ R →+* S
   map_zero' := eval₂_zero _ _
   map_add' p q := eval₂_add _ _
 #align mv_polynomial.eval₂_hom MvPolynomial.eval₂Hom
+-/
 
+/- warning: mv_polynomial.coe_eval₂_hom -> MvPolynomial.coe_eval₂Hom is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {S₁ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] (f : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (g : σ -> S₁), Eq.{max (succ (max u3 u1)) (succ u2)} ((MvPolynomial.{u3, u1} σ R _inst_1) -> S₁) (coeFn.{max (succ (max u3 u1)) (succ u2), max (succ (max u3 u1)) (succ u2)} (RingHom.{max u3 u1, u2} (MvPolynomial.{u3, u1} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (fun (_x : RingHom.{max u3 u1, u2} (MvPolynomial.{u3, u1} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) => (MvPolynomial.{u3, u1} σ R _inst_1) -> S₁) (RingHom.hasCoeToFun.{max u3 u1, u2} (MvPolynomial.{u3, u1} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (MvPolynomial.eval₂Hom.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 f g)) (MvPolynomial.eval₂.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 f g)
+but is expected to have type
+  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] (f : RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (g : σ -> S₁), Eq.{max (max (succ u2) (succ u3)) (succ u1)} (forall (ᾰ : MvPolynomial.{u1, u2} σ R _inst_1), (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => S₁) ᾰ) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u2) (succ u1), succ u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => S₁) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (MvPolynomial.eval₂Hom.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f g)) (MvPolynomial.eval₂.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f g)
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.coe_eval₂_hom MvPolynomial.coe_eval₂Homₓ'. -/
 @[simp]
 theorem coe_eval₂Hom (f : R →+* S₁) (g : σ → S₁) : ⇑(eval₂Hom f g) = eval₂ f g :=
   rfl
 #align mv_polynomial.coe_eval₂_hom MvPolynomial.coe_eval₂Hom
 
+/- warning: mv_polynomial.eval₂_hom_congr -> MvPolynomial.eval₂Hom_congr is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {S₁ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] {f₁ : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))} {f₂ : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))} {g₁ : σ -> S₁} {g₂ : σ -> S₁} {p₁ : MvPolynomial.{u3, u1} σ R _inst_1} {p₂ : MvPolynomial.{u3, u1} σ R _inst_1}, (Eq.{max (succ u1) (succ u2)} (RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) f₁ f₂) -> (Eq.{max (succ u3) (succ u2)} (σ -> S₁) g₁ g₂) -> (Eq.{max (succ u3) (succ u1)} (MvPolynomial.{u3, u1} σ R _inst_1) p₁ p₂) -> (Eq.{succ u2} S₁ (coeFn.{max (succ (max u3 u1)) (succ u2), max (succ (max u3 u1)) (succ u2)} (RingHom.{max u3 u1, u2} (MvPolynomial.{u3, u1} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (fun (_x : RingHom.{max u3 u1, u2} (MvPolynomial.{u3, u1} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) => (MvPolynomial.{u3, u1} σ R _inst_1) -> S₁) (RingHom.hasCoeToFun.{max u3 u1, u2} (MvPolynomial.{u3, u1} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (MvPolynomial.eval₂Hom.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 f₁ g₁) p₁) (coeFn.{max (succ (max u3 u1)) (succ u2), max (succ (max u3 u1)) (succ u2)} (RingHom.{max u3 u1, u2} (MvPolynomial.{u3, u1} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (fun (_x : RingHom.{max u3 u1, u2} (MvPolynomial.{u3, u1} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) => (MvPolynomial.{u3, u1} σ R _inst_1) -> S₁) (RingHom.hasCoeToFun.{max u3 u1, u2} (MvPolynomial.{u3, u1} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (MvPolynomial.eval₂Hom.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 f₂ g₂) p₂))
+but is expected to have type
+  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] {f₁ : RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))} {f₂ : RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))} {g₁ : σ -> S₁} {g₂ : σ -> S₁} {p₁ : MvPolynomial.{u1, u2} σ R _inst_1} {p₂ : MvPolynomial.{u1, u2} σ R _inst_1}, (Eq.{max (succ u2) (succ u3)} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) f₁ f₂) -> (Eq.{max (succ u3) (succ u1)} (σ -> S₁) g₁ g₂) -> (Eq.{max (succ u2) (succ u1)} (MvPolynomial.{u1, u2} σ R _inst_1) p₁ p₂) -> (Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => S₁) p₁) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u2) (succ u1), succ u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => S₁) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (MvPolynomial.eval₂Hom.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f₁ g₁) p₁) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u2) (succ u1), succ u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => S₁) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (MvPolynomial.eval₂Hom.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f₂ g₂) p₂))
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval₂_hom_congr MvPolynomial.eval₂Hom_congrₓ'. -/
 theorem eval₂Hom_congr {f₁ f₂ : R →+* S₁} {g₁ g₂ : σ → S₁} {p₁ p₂ : MvPolynomial σ R} :
     f₁ = f₂ → g₁ = g₂ → p₁ = p₂ → eval₂Hom f₁ g₁ p₁ = eval₂Hom f₂ g₂ p₂ := by
   rintro rfl rfl rfl <;> rfl
@@ -1005,16 +1779,34 @@ theorem eval₂Hom_congr {f₁ f₂ : R →+* S₁} {g₁ g₂ : σ → S₁} {p
 
 end
 
-@[simp]
-theorem eval₂Hom_c (f : R →+* S₁) (g : σ → S₁) (r : R) : eval₂Hom f g (c r) = f r :=
-  eval₂_c f g r
-#align mv_polynomial.eval₂_hom_C MvPolynomial.eval₂Hom_c
-
-@[simp]
-theorem eval₂Hom_X' (f : R →+* S₁) (g : σ → S₁) (i : σ) : eval₂Hom f g (x i) = g i :=
-  eval₂_x f g i
+/- warning: mv_polynomial.eval₂_hom_C -> MvPolynomial.eval₂Hom_C is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {S₁ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] (f : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (g : σ -> S₁) (r : R), Eq.{succ u2} S₁ (coeFn.{max (succ (max u3 u1)) (succ u2), max (succ (max u3 u1)) (succ u2)} (RingHom.{max u3 u1, u2} (MvPolynomial.{u3, u1} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (fun (_x : RingHom.{max u3 u1, u2} (MvPolynomial.{u3, u1} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) => (MvPolynomial.{u3, u1} σ R _inst_1) -> S₁) (RingHom.hasCoeToFun.{max u3 u1, u2} (MvPolynomial.{u3, u1} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (MvPolynomial.eval₂Hom.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 f g) (coeFn.{max (succ u1) (succ (max u3 u1)), max (succ u1) (succ (max u3 u1))} (RingHom.{u1, max u3 u1} R (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)))) (fun (_x : RingHom.{u1, max u3 u1} R (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)))) => R -> (MvPolynomial.{u3, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{u1, max u3 u1} R (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)))) (MvPolynomial.C.{u1, u3} R σ _inst_1) r)) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (fun (_x : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) => R -> S₁) (RingHom.hasCoeToFun.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) f r)
+but is expected to have type
+  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] (f : RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (g : σ -> S₁) (r : R), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => S₁) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (a : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) r)) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u2) (succ u1), succ u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => S₁) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (MvPolynomial.eval₂Hom.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f g) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) r)) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) _x) (MulHomClass.toFunLike.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) f r)
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval₂_hom_C MvPolynomial.eval₂Hom_Cₓ'. -/
+@[simp]
+theorem eval₂Hom_C (f : R →+* S₁) (g : σ → S₁) (r : R) : eval₂Hom f g (C r) = f r :=
+  eval₂_C f g r
+#align mv_polynomial.eval₂_hom_C MvPolynomial.eval₂Hom_C
+
+/- warning: mv_polynomial.eval₂_hom_X' -> MvPolynomial.eval₂Hom_X' is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {S₁ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] (f : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (g : σ -> S₁) (i : σ), Eq.{succ u2} S₁ (coeFn.{max (succ (max u3 u1)) (succ u2), max (succ (max u3 u1)) (succ u2)} (RingHom.{max u3 u1, u2} (MvPolynomial.{u3, u1} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (fun (_x : RingHom.{max u3 u1, u2} (MvPolynomial.{u3, u1} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) => (MvPolynomial.{u3, u1} σ R _inst_1) -> S₁) (RingHom.hasCoeToFun.{max u3 u1, u2} (MvPolynomial.{u3, u1} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (MvPolynomial.eval₂Hom.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 f g) (MvPolynomial.X.{u1, u3} R σ _inst_1 i)) (g i)
+but is expected to have type
+  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] (f : RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (g : σ -> S₁) (i : σ), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => S₁) (MvPolynomial.X.{u2, u1} R σ _inst_1 i)) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u2) (succ u1), succ u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => S₁) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (MvPolynomial.eval₂Hom.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f g) (MvPolynomial.X.{u2, u1} R σ _inst_1 i)) (g i)
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval₂_hom_X' MvPolynomial.eval₂Hom_X'ₓ'. -/
+@[simp]
+theorem eval₂Hom_X' (f : R →+* S₁) (g : σ → S₁) (i : σ) : eval₂Hom f g (X i) = g i :=
+  eval₂_X f g i
 #align mv_polynomial.eval₂_hom_X' MvPolynomial.eval₂Hom_X'
 
+/- warning: mv_polynomial.comp_eval₂_hom -> MvPolynomial.comp_eval₂Hom is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {S₁ : Type.{u2}} {S₂ : Type.{u3}} {σ : Type.{u4}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] [_inst_3 : CommSemiring.{u3} S₂] (f : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (g : σ -> S₁) (φ : RingHom.{u2, u3} S₁ S₂ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_3))), Eq.{max (succ (max u4 u1)) (succ u3)} (RingHom.{max u4 u1, u3} (MvPolynomial.{u4, u1} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u4, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u4, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u4} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_3))) (RingHom.comp.{max u4 u1, u2, u3} (MvPolynomial.{u4, u1} σ R _inst_1) S₁ S₂ (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u4, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u4, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u4} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_3)) φ (MvPolynomial.eval₂Hom.{u1, u2, u4} R S₁ σ _inst_1 _inst_2 f g)) (MvPolynomial.eval₂Hom.{u1, u3, u4} R S₂ σ _inst_1 _inst_3 (RingHom.comp.{u1, u2, u3} R S₁ S₂ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_3)) φ f) (fun (i : σ) => coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (RingHom.{u2, u3} S₁ S₂ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_3))) (fun (_x : RingHom.{u2, u3} S₁ S₂ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_3))) => S₁ -> S₂) (RingHom.hasCoeToFun.{u2, u3} S₁ S₂ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_3))) φ (g i)))
+but is expected to have type
+  forall {R : Type.{u2}} {S₁ : Type.{u3}} {S₂ : Type.{u4}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] [_inst_3 : CommSemiring.{u4} S₂] (f : RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (g : σ -> S₁) (φ : RingHom.{u3, u4} S₁ S₂ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))), Eq.{max (max (succ u2) (succ u4)) (succ u1)} (RingHom.{max u1 u2, u4} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))) (RingHom.comp.{max u1 u2, u3, u4} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3)) φ (MvPolynomial.eval₂Hom.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f g)) (MvPolynomial.eval₂Hom.{u2, u4, u1} R S₂ σ _inst_1 _inst_3 (RingHom.comp.{u2, u3, u4} R S₁ S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3)) φ f) (fun (i : σ) => FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (RingHom.{u3, u4} S₁ S₂ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))) S₁ (fun (_x : S₁) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : S₁) => S₂) _x) (MulHomClass.toFunLike.{max u3 u4, u3, u4} (RingHom.{u3, u4} S₁ S₂ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))) S₁ S₂ (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalNonAssocSemiring.toMul.{u4} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₂ (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3)))) (NonUnitalRingHomClass.toMulHomClass.{max u3 u4, u3, u4} (RingHom.{u3, u4} S₁ S₂ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))) S₁ S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₂ (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))) (RingHomClass.toNonUnitalRingHomClass.{max u3 u4, u3, u4} (RingHom.{u3, u4} S₁ S₂ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))) S₁ S₂ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3)) (RingHom.instRingHomClassRingHom.{u3, u4} S₁ S₂ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3)))))) φ (g i)))
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.comp_eval₂_hom MvPolynomial.comp_eval₂Homₓ'. -/
 @[simp]
 theorem comp_eval₂Hom [CommSemiring S₂] (f : R →+* S₁) (g : σ → S₁) (φ : S₁ →+* S₂) :
     φ.comp (eval₂Hom f g) = eval₂Hom (φ.comp f) fun i => φ (g i) :=
@@ -1026,6 +1818,12 @@ theorem comp_eval₂Hom [CommSemiring S₂] (f : R →+* S₁) (g : σ → S₁)
     rw [RingHom.comp_apply, eval₂_hom_X', eval₂_hom_X']
 #align mv_polynomial.comp_eval₂_hom MvPolynomial.comp_eval₂Hom
 
+/- warning: mv_polynomial.map_eval₂_hom -> MvPolynomial.map_eval₂Hom is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {S₁ : Type.{u2}} {S₂ : Type.{u3}} {σ : Type.{u4}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] [_inst_3 : CommSemiring.{u3} S₂] (f : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (g : σ -> S₁) (φ : RingHom.{u2, u3} S₁ S₂ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_3))) (p : MvPolynomial.{u4, u1} σ R _inst_1), Eq.{succ u3} S₂ (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (RingHom.{u2, u3} S₁ S₂ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_3))) (fun (_x : RingHom.{u2, u3} S₁ S₂ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_3))) => S₁ -> S₂) (RingHom.hasCoeToFun.{u2, u3} S₁ S₂ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_3))) φ (coeFn.{max (succ (max u4 u1)) (succ u2), max (succ (max u4 u1)) (succ u2)} (RingHom.{max u4 u1, u2} (MvPolynomial.{u4, u1} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u4, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u4, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u4} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (fun (_x : RingHom.{max u4 u1, u2} (MvPolynomial.{u4, u1} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u4, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u4, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u4} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) => (MvPolynomial.{u4, u1} σ R _inst_1) -> S₁) (RingHom.hasCoeToFun.{max u4 u1, u2} (MvPolynomial.{u4, u1} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u4, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u4, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u4} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (MvPolynomial.eval₂Hom.{u1, u2, u4} R S₁ σ _inst_1 _inst_2 f g) p)) (coeFn.{max (succ (max u4 u1)) (succ u3), max (succ (max u4 u1)) (succ u3)} (RingHom.{max u4 u1, u3} (MvPolynomial.{u4, u1} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u4, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u4, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u4} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_3))) (fun (_x : RingHom.{max u4 u1, u3} (MvPolynomial.{u4, u1} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u4, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u4, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u4} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_3))) => (MvPolynomial.{u4, u1} σ R _inst_1) -> S₂) (RingHom.hasCoeToFun.{max u4 u1, u3} (MvPolynomial.{u4, u1} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u4, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u4, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u4} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_3))) (MvPolynomial.eval₂Hom.{u1, u3, u4} R S₂ σ _inst_1 _inst_3 (RingHom.comp.{u1, u2, u3} R S₁ S₂ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_3)) φ f) (fun (i : σ) => coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (RingHom.{u2, u3} S₁ S₂ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_3))) (fun (_x : RingHom.{u2, u3} S₁ S₂ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_3))) => S₁ -> S₂) (RingHom.hasCoeToFun.{u2, u3} S₁ S₂ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_3))) φ (g i))) p)
+but is expected to have type
+  forall {R : Type.{u2}} {S₁ : Type.{u3}} {S₂ : Type.{u4}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] [_inst_3 : CommSemiring.{u4} S₂] (f : RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (g : σ -> S₁) (φ : RingHom.{u3, u4} S₁ S₂ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))) (p : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : S₁) => S₂) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u2) (succ u1), succ u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (a : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => S₁) a) (MulHomClass.toFunLike.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (MvPolynomial.eval₂Hom.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f g) p)) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (RingHom.{u3, u4} S₁ S₂ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))) S₁ (fun (_x : S₁) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : S₁) => S₂) _x) (MulHomClass.toFunLike.{max u3 u4, u3, u4} (RingHom.{u3, u4} S₁ S₂ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))) S₁ S₂ (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalNonAssocSemiring.toMul.{u4} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₂ (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3)))) (NonUnitalRingHomClass.toMulHomClass.{max u3 u4, u3, u4} (RingHom.{u3, u4} S₁ S₂ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))) S₁ S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₂ (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))) (RingHomClass.toNonUnitalRingHomClass.{max u3 u4, u3, u4} (RingHom.{u3, u4} S₁ S₂ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))) S₁ S₂ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3)) (RingHom.instRingHomClassRingHom.{u3, u4} S₁ S₂ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3)))))) φ (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u2) (succ u1), succ u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => S₁) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (MvPolynomial.eval₂Hom.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f g) p)) (FunLike.coe.{max (max (succ u2) (succ u4)) (succ u1), max (succ u2) (succ u1), succ u4} (RingHom.{max u2 u1, u4} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => S₂) _x) (MulHomClass.toFunLike.{max (max u2 u4) u1, max u2 u1, u4} (RingHom.{max u2 u1, u4} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))) (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u4} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₂ (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3)))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u4) u1, max u2 u1, u4} (RingHom.{max u2 u1, u4} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))) (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₂ (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u4) u1, max u2 u1, u4} (RingHom.{max u2 u1, u4} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))) (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3)) (RingHom.instRingHomClassRingHom.{max u2 u1, u4} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3)))))) (MvPolynomial.eval₂Hom.{u2, u4, u1} R S₂ σ _inst_1 _inst_3 (RingHom.comp.{u2, u3, u4} R S₁ S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3)) φ f) (fun (i : σ) => FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (RingHom.{u3, u4} S₁ S₂ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))) S₁ (fun (_x : S₁) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : S₁) => S₂) _x) (MulHomClass.toFunLike.{max u3 u4, u3, u4} (RingHom.{u3, u4} S₁ S₂ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))) S₁ S₂ (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalNonAssocSemiring.toMul.{u4} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₂ (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3)))) (NonUnitalRingHomClass.toMulHomClass.{max u3 u4, u3, u4} (RingHom.{u3, u4} S₁ S₂ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))) S₁ S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₂ (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))) (RingHomClass.toNonUnitalRingHomClass.{max u3 u4, u3, u4} (RingHom.{u3, u4} S₁ S₂ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))) S₁ S₂ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3)) (RingHom.instRingHomClassRingHom.{u3, u4} S₁ S₂ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3)))))) φ (g i))) p)
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.map_eval₂_hom MvPolynomial.map_eval₂Homₓ'. -/
 theorem map_eval₂Hom [CommSemiring S₂] (f : R →+* S₁) (g : σ → S₁) (φ : S₁ →+* S₂)
     (p : MvPolynomial σ R) : φ (eval₂Hom f g p) = eval₂Hom (φ.comp f) (fun i => φ (g i)) p :=
   by
@@ -1033,6 +1831,12 @@ theorem map_eval₂Hom [CommSemiring S₂] (f : R →+* S₁) (g : σ → S₁)
   rfl
 #align mv_polynomial.map_eval₂_hom MvPolynomial.map_eval₂Hom
 
+/- warning: mv_polynomial.eval₂_hom_monomial -> MvPolynomial.eval₂Hom_monomial is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {S₁ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] (f : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (g : σ -> S₁) (d : Finsupp.{u3, 0} σ Nat Nat.hasZero) (r : R), Eq.{succ u2} S₁ (coeFn.{max (succ (max u3 u1)) (succ u2), max (succ (max u3 u1)) (succ u2)} (RingHom.{max u3 u1, u2} (MvPolynomial.{u3, u1} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (fun (_x : RingHom.{max u3 u1, u2} (MvPolynomial.{u3, u1} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) => (MvPolynomial.{u3, u1} σ R _inst_1) -> S₁) (RingHom.hasCoeToFun.{max u3 u1, u2} (MvPolynomial.{u3, u1} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (MvPolynomial.eval₂Hom.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 f g) (coeFn.{max (succ u1) (succ (max u3 u1)), max (succ u1) (succ (max u3 u1))} (LinearMap.{u1, u1, u1, max u3 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u3, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u3 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u3, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u3, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u3 u1} R R R (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u3} R σ _inst_1 d) r)) (HMul.hMul.{u2, u2, u2} S₁ S₁ S₁ (instHMul.{u2} S₁ (Distrib.toHasMul.{u2} S₁ (NonUnitalNonAssocSemiring.toDistrib.{u2} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S₁ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)))))) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (fun (_x : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) => R -> S₁) (RingHom.hasCoeToFun.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) f r) (Finsupp.prod.{u3, 0, u2} σ Nat S₁ Nat.hasZero (CommSemiring.toCommMonoid.{u2} S₁ _inst_2) d (fun (i : σ) (k : Nat) => HPow.hPow.{u2, 0, u2} S₁ Nat S₁ (instHPow.{u2, 0} S₁ Nat (Monoid.Pow.{u2} S₁ (MonoidWithZero.toMonoid.{u2} S₁ (Semiring.toMonoidWithZero.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))))) (g i) k)))
+but is expected to have type
+  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] (f : RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (g : σ -> S₁) (d : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (r : R), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => S₁) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (a : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 d) r)) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u2) (succ u1), succ u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => S₁) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (MvPolynomial.eval₂Hom.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f g) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 d) r)) (HMul.hMul.{u3, u3, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) S₁ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) (instHMul.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) (NonUnitalNonAssocSemiring.toMul.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) (Semiring.toNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) _inst_2))))) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) _x) (MulHomClass.toFunLike.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) f r) (Finsupp.prod.{u1, 0, u3} σ Nat S₁ (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) (CommSemiring.toCommMonoid.{u3} S₁ _inst_2) d (fun (i : σ) (k : Nat) => HPow.hPow.{u3, 0, u3} S₁ Nat S₁ (instHPow.{u3, 0} S₁ Nat (Monoid.Pow.{u3} S₁ (MonoidWithZero.toMonoid.{u3} S₁ (Semiring.toMonoidWithZero.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))))) (g i) k)))
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval₂_hom_monomial MvPolynomial.eval₂Hom_monomialₓ'. -/
 theorem eval₂Hom_monomial (f : R →+* S₁) (g : σ → S₁) (d : σ →₀ ℕ) (r : R) :
     eval₂Hom f g (monomial d r) = f r * d.Prod fun i k => g i ^ k := by
   simp only [monomial_eq, RingHom.map_mul, eval₂_hom_C, Finsupp.prod, RingHom.map_prod,
@@ -1041,6 +1845,12 @@ theorem eval₂Hom_monomial (f : R →+* S₁) (g : σ → S₁) (d : σ →₀
 
 section
 
+/- warning: mv_polynomial.eval₂_comp_left -> MvPolynomial.eval₂_comp_left is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {S₁ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] {S₂ : Type.{u4}} [_inst_3 : CommSemiring.{u4} S₂] (k : RingHom.{u2, u4} S₁ S₂ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))) (f : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (g : σ -> S₁) (p : MvPolynomial.{u3, u1} σ R _inst_1), Eq.{succ u4} S₂ (coeFn.{max (succ u2) (succ u4), max (succ u2) (succ u4)} (RingHom.{u2, u4} S₁ S₂ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))) (fun (_x : RingHom.{u2, u4} S₁ S₂ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))) => S₁ -> S₂) (RingHom.hasCoeToFun.{u2, u4} S₁ S₂ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))) k (MvPolynomial.eval₂.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 f g p)) (MvPolynomial.eval₂.{u1, u4, u3} R S₂ σ _inst_1 _inst_3 (RingHom.comp.{u1, u2, u4} R S₁ S₂ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3)) k f) (Function.comp.{succ u3, succ u2, succ u4} σ S₁ S₂ (coeFn.{max (succ u2) (succ u4), max (succ u2) (succ u4)} (RingHom.{u2, u4} S₁ S₂ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))) (fun (_x : RingHom.{u2, u4} S₁ S₂ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))) => S₁ -> S₂) (RingHom.hasCoeToFun.{u2, u4} S₁ S₂ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))) k) g) p)
+but is expected to have type
+  forall {R : Type.{u3}} {S₁ : Type.{u4}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u3} R] [_inst_2 : CommSemiring.{u4} S₁] {S₂ : Type.{u2}} [_inst_3 : CommSemiring.{u2} S₂] (k : RingHom.{u4, u2} S₁ S₂ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_3))) (f : RingHom.{u3, u4} R S₁ (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2))) (g : σ -> S₁) (p : MvPolynomial.{u1, u3} σ R _inst_1), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : S₁) => S₂) (MvPolynomial.eval₂.{u3, u4, u1} R S₁ σ _inst_1 _inst_2 f g p)) (FunLike.coe.{max (succ u4) (succ u2), succ u4, succ u2} (RingHom.{u4, u2} S₁ S₂ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_3))) S₁ (fun (_x : S₁) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : S₁) => S₂) _x) (MulHomClass.toFunLike.{max u4 u2, u4, u2} (RingHom.{u4, u2} S₁ S₂ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_3))) S₁ S₂ (NonUnitalNonAssocSemiring.toMul.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))) (NonUnitalNonAssocSemiring.toMul.{u2} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S₂ (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_3)))) (NonUnitalRingHomClass.toMulHomClass.{max u4 u2, u4, u2} (RingHom.{u4, u2} S₁ S₂ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_3))) S₁ S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S₂ (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_3))) (RingHomClass.toNonUnitalRingHomClass.{max u4 u2, u4, u2} (RingHom.{u4, u2} S₁ S₂ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_3))) S₁ S₂ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_3)) (RingHom.instRingHomClassRingHom.{u4, u2} S₁ S₂ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_3)))))) k (MvPolynomial.eval₂.{u3, u4, u1} R S₁ σ _inst_1 _inst_2 f g p)) (MvPolynomial.eval₂.{u3, u2, u1} R S₂ σ _inst_1 _inst_3 (RingHom.comp.{u3, u4, u2} R S₁ S₂ (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_3)) k f) (Function.comp.{succ u1, succ u4, succ u2} σ S₁ S₂ (FunLike.coe.{max (succ u4) (succ u2), succ u4, succ u2} (RingHom.{u4, u2} S₁ S₂ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_3))) S₁ (fun (_x : S₁) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : S₁) => S₂) _x) (MulHomClass.toFunLike.{max u4 u2, u4, u2} (RingHom.{u4, u2} S₁ S₂ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_3))) S₁ S₂ (NonUnitalNonAssocSemiring.toMul.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))) (NonUnitalNonAssocSemiring.toMul.{u2} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S₂ (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_3)))) (NonUnitalRingHomClass.toMulHomClass.{max u4 u2, u4, u2} (RingHom.{u4, u2} S₁ S₂ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_3))) S₁ S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S₂ (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_3))) (RingHomClass.toNonUnitalRingHomClass.{max u4 u2, u4, u2} (RingHom.{u4, u2} S₁ S₂ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_3))) S₁ S₂ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_3)) (RingHom.instRingHomClassRingHom.{u4, u2} S₁ S₂ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_3)))))) k) g) p)
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval₂_comp_left MvPolynomial.eval₂_comp_leftₓ'. -/
 theorem eval₂_comp_left {S₂} [CommSemiring S₂] (k : S₁ →+* S₂) (f : R →+* S₁) (g : σ → S₁) (p) :
     k (eval₂ f g p) = eval₂ (k.comp f) (k ∘ g) p := by
   apply MvPolynomial.induction_on p <;>
@@ -1049,12 +1859,24 @@ theorem eval₂_comp_left {S₂} [CommSemiring S₂] (k : S₁ →+* S₂) (f :
 
 end
 
+/- warning: mv_polynomial.eval₂_eta -> MvPolynomial.eval₂_eta is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] (p : MvPolynomial.{u2, u1} σ R _inst_1), Eq.{succ (max u2 u1)} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.eval₂.{u1, max u2 u1, u2} R (MvPolynomial.{u2, u1} σ R _inst_1) σ _inst_1 (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1) (MvPolynomial.C.{u1, u2} R σ _inst_1) (MvPolynomial.X.{u1, u2} R σ _inst_1) p) p
+but is expected to have type
+  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] (p : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{max (succ u2) (succ u1)} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.eval₂.{u2, max u1 u2, u1} R (MvPolynomial.{u1, u2} σ R _inst_1) σ _inst_1 (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1) (MvPolynomial.C.{u2, u1} R σ _inst_1) (MvPolynomial.X.{u2, u1} R σ _inst_1) p) p
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval₂_eta MvPolynomial.eval₂_etaₓ'. -/
 @[simp]
-theorem eval₂_eta (p : MvPolynomial σ R) : eval₂ c x p = p := by
+theorem eval₂_eta (p : MvPolynomial σ R) : eval₂ C X p = p := by
   apply MvPolynomial.induction_on p <;>
     simp (config := { contextual := true }) [eval₂_add, eval₂_mul]
 #align mv_polynomial.eval₂_eta MvPolynomial.eval₂_eta
 
+/- warning: mv_polynomial.eval₂_congr -> MvPolynomial.eval₂_congr is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {S₁ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] {p : MvPolynomial.{u3, u1} σ R _inst_1} (f : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (g₁ : σ -> S₁) (g₂ : σ -> S₁), (forall {i : σ} {c : Finsupp.{u3, 0} σ Nat Nat.hasZero}, (Membership.Mem.{u3, u3} σ (Finset.{u3} σ) (Finset.hasMem.{u3} σ) i (Finsupp.support.{u3, 0} σ Nat Nat.hasZero c)) -> (Ne.{succ u1} R (MvPolynomial.coeff.{u1, u3} R σ _inst_1 c p) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))))))) -> (Eq.{succ u2} S₁ (g₁ i) (g₂ i))) -> (Eq.{succ u2} S₁ (MvPolynomial.eval₂.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 f g₁ p) (MvPolynomial.eval₂.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 f g₂ p))
+but is expected to have type
+  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] {p : MvPolynomial.{u1, u2} σ R _inst_1} (f : RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (g₁ : σ -> S₁) (g₂ : σ -> S₁), (forall {i : σ} {c : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)}, (Membership.mem.{u1, u1} σ (Finset.{u1} σ) (Finset.instMembershipFinset.{u1} σ) i (Finsupp.support.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) c)) -> (Ne.{succ u2} R (MvPolynomial.coeff.{u2, u1} R σ _inst_1 c p) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))))) -> (Eq.{succ u3} S₁ (g₁ i) (g₂ i))) -> (Eq.{succ u3} S₁ (MvPolynomial.eval₂.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f g₁ p) (MvPolynomial.eval₂.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f g₂ p))
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval₂_congr MvPolynomial.eval₂_congrₓ'. -/
 theorem eval₂_congr (g₁ g₂ : σ → S₁)
     (h : ∀ {i : σ} {c : σ →₀ ℕ}, i ∈ c.support → coeff c p ≠ 0 → g₁ i = g₂ i) :
     p.eval₂ f g₁ = p.eval₂ f g₂ := by
@@ -1066,12 +1888,24 @@ theorem eval₂_congr (g₁ g₂ : σ → S₁)
   rwa [Finsupp.mem_support_iff] at hc
 #align mv_polynomial.eval₂_congr MvPolynomial.eval₂_congr
 
+/- warning: mv_polynomial.eval₂_prod -> MvPolynomial.eval₂_prod is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {S₁ : Type.{u2}} {S₂ : Type.{u3}} {σ : Type.{u4}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] (f : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (g : σ -> S₁) (s : Finset.{u3} S₂) (p : S₂ -> (MvPolynomial.{u4, u1} σ R _inst_1)), Eq.{succ u2} S₁ (MvPolynomial.eval₂.{u1, u2, u4} R S₁ σ _inst_1 _inst_2 f g (Finset.prod.{max u4 u1, u3} (MvPolynomial.{u4, u1} σ R _inst_1) S₂ (CommSemiring.toCommMonoid.{max u4 u1} (MvPolynomial.{u4, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u4} R σ _inst_1)) s (fun (x : S₂) => p x))) (Finset.prod.{u2, u3} S₁ S₂ (CommSemiring.toCommMonoid.{u2} S₁ _inst_2) s (fun (x : S₂) => MvPolynomial.eval₂.{u1, u2, u4} R S₁ σ _inst_1 _inst_2 f g (p x)))
+but is expected to have type
+  forall {R : Type.{u2}} {S₁ : Type.{u3}} {S₂ : Type.{u4}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] (f : RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (g : σ -> S₁) (s : Finset.{u4} S₂) (p : S₂ -> (MvPolynomial.{u1, u2} σ R _inst_1)), Eq.{succ u3} S₁ (MvPolynomial.eval₂.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f g (Finset.prod.{max u2 u1, u4} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (CommSemiring.toCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) s (fun (x : S₂) => p x))) (Finset.prod.{u3, u4} S₁ S₂ (CommSemiring.toCommMonoid.{u3} S₁ _inst_2) s (fun (x : S₂) => MvPolynomial.eval₂.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f g (p x)))
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval₂_prod MvPolynomial.eval₂_prodₓ'. -/
 @[simp]
 theorem eval₂_prod (s : Finset S₂) (p : S₂ → MvPolynomial σ R) :
     eval₂ f g (∏ x in s, p x) = ∏ x in s, eval₂ f g (p x) :=
   (eval₂Hom f g).map_prod _ s
 #align mv_polynomial.eval₂_prod MvPolynomial.eval₂_prod
 
+/- warning: mv_polynomial.eval₂_sum -> MvPolynomial.eval₂_sum is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {S₁ : Type.{u2}} {S₂ : Type.{u3}} {σ : Type.{u4}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] (f : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (g : σ -> S₁) (s : Finset.{u3} S₂) (p : S₂ -> (MvPolynomial.{u4, u1} σ R _inst_1)), Eq.{succ u2} S₁ (MvPolynomial.eval₂.{u1, u2, u4} R S₁ σ _inst_1 _inst_2 f g (Finset.sum.{max u4 u1, u3} (MvPolynomial.{u4, u1} σ R _inst_1) S₂ (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u1} (MvPolynomial.{u4, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u1} (MvPolynomial.{u4, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u4, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u4, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u4} R σ _inst_1))))) s (fun (x : S₂) => p x))) (Finset.sum.{u2, u3} S₁ S₂ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S₁ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)))) s (fun (x : S₂) => MvPolynomial.eval₂.{u1, u2, u4} R S₁ σ _inst_1 _inst_2 f g (p x)))
+but is expected to have type
+  forall {R : Type.{u2}} {S₁ : Type.{u3}} {S₂ : Type.{u4}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] (f : RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (g : σ -> S₁) (s : Finset.{u4} S₂) (p : S₂ -> (MvPolynomial.{u1, u2} σ R _inst_1)), Eq.{succ u3} S₁ (MvPolynomial.eval₂.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f g (Finset.sum.{max u2 u1, u4} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) s (fun (x : S₂) => p x))) (Finset.sum.{u3, u4} S₁ S₂ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) s (fun (x : S₂) => MvPolynomial.eval₂.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f g (p x)))
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval₂_sum MvPolynomial.eval₂_sumₓ'. -/
 @[simp]
 theorem eval₂_sum (s : Finset S₂) (p : S₂ → MvPolynomial σ R) :
     eval₂ f g (∑ x in s, p x) = ∑ x in s, eval₂ f g (p x) :=
@@ -1080,8 +1914,14 @@ theorem eval₂_sum (s : Finset S₂) (p : S₂ → MvPolynomial σ R) :
 
 attribute [to_additive] eval₂_prod
 
+/- warning: mv_polynomial.eval₂_assoc -> MvPolynomial.eval₂_assoc is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {S₁ : Type.{u2}} {S₂ : Type.{u3}} {σ : Type.{u4}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] (f : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (g : σ -> S₁) (q : S₂ -> (MvPolynomial.{u4, u1} σ R _inst_1)) (p : MvPolynomial.{u3, u1} S₂ R _inst_1), Eq.{succ u2} S₁ (MvPolynomial.eval₂.{u1, u2, u3} R S₁ S₂ _inst_1 _inst_2 f (fun (t : S₂) => MvPolynomial.eval₂.{u1, u2, u4} R S₁ σ _inst_1 _inst_2 f g (q t)) p) (MvPolynomial.eval₂.{u1, u2, u4} R S₁ σ _inst_1 _inst_2 f g (MvPolynomial.eval₂.{u1, max u4 u1, u3} R (MvPolynomial.{u4, u1} σ R _inst_1) S₂ _inst_1 (MvPolynomial.commSemiring.{u1, u4} R σ _inst_1) (MvPolynomial.C.{u1, u4} R σ _inst_1) q p))
+but is expected to have type
+  forall {R : Type.{u2}} {S₁ : Type.{u3}} {S₂ : Type.{u4}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] (f : RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (g : σ -> S₁) (q : S₂ -> (MvPolynomial.{u1, u2} σ R _inst_1)) (p : MvPolynomial.{u4, u2} S₂ R _inst_1), Eq.{succ u3} S₁ (MvPolynomial.eval₂.{u2, u3, u4} R S₁ S₂ _inst_1 _inst_2 f (fun (t : S₂) => MvPolynomial.eval₂.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f g (q t)) p) (MvPolynomial.eval₂.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f g (MvPolynomial.eval₂.{u2, max u2 u1, u4} R (MvPolynomial.{u1, u2} σ R _inst_1) S₂ _inst_1 (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1) (MvPolynomial.C.{u2, u1} R σ _inst_1) q p))
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval₂_assoc MvPolynomial.eval₂_assocₓ'. -/
 theorem eval₂_assoc (q : S₂ → MvPolynomial σ R) (p : MvPolynomial S₂ R) :
-    eval₂ f (fun t => eval₂ f g (q t)) p = eval₂ f g (eval₂ c q p) :=
+    eval₂ f (fun t => eval₂ f g (q t)) p = eval₂ f g (eval₂ C q p) :=
   by
   show _ = eval₂_hom f g (eval₂ C q p)
   rw [eval₂_comp_left (eval₂_hom f g)]; congr with a; simp
@@ -1093,45 +1933,95 @@ section Eval
 
 variable {f : σ → R}
 
+#print MvPolynomial.eval /-
 /-- Evaluate a polynomial `p` given a valuation `f` of all the variables -/
 def eval (f : σ → R) : MvPolynomial σ R →+* R :=
   eval₂Hom (RingHom.id _) f
 #align mv_polynomial.eval MvPolynomial.eval
+-/
 
+/- warning: mv_polynomial.eval_eq -> MvPolynomial.eval_eq is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] (x : σ -> R) (f : MvPolynomial.{u2, u1} σ R _inst_1), Eq.{succ u1} R (coeFn.{max (succ (max u2 u1)) (succ u1), max (succ (max u2 u1)) (succ u1)} (RingHom.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (fun (_x : RingHom.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) => (MvPolynomial.{u2, u1} σ R _inst_1) -> R) (RingHom.hasCoeToFun.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.eval.{u1, u2} R σ _inst_1 x) f) (Finset.sum.{u1, u2} R (Finsupp.{u2, 0} σ Nat Nat.hasZero) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.support.{u1, u2} R σ _inst_1 f) (fun (d : Finsupp.{u2, 0} σ Nat Nat.hasZero) => HMul.hMul.{u1, u1, u1} R R R (instHMul.{u1} R (Distrib.toHasMul.{u1} R (NonUnitalNonAssocSemiring.toDistrib.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))) (MvPolynomial.coeff.{u1, u2} R σ _inst_1 d f) (Finset.prod.{u1, u2} R σ (CommSemiring.toCommMonoid.{u1} R _inst_1) (Finsupp.support.{u2, 0} σ Nat Nat.hasZero d) (fun (i : σ) => HPow.hPow.{u1, 0, u1} R Nat R (instHPow.{u1, 0} R Nat (Monoid.Pow.{u1} R (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (x i) (coeFn.{succ u2, succ u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (fun (_x : Finsupp.{u2, 0} σ Nat Nat.hasZero) => σ -> Nat) (Finsupp.coeFun.{u2, 0} σ Nat Nat.hasZero) d i)))))
+but is expected to have type
+  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] (x : σ -> R) (f : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) f) (FunLike.coe.{max (succ u2) (succ u1), max (succ u2) (succ u1), succ u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) _x) (MulHomClass.toFunLike.{max u2 u1, max u2 u1, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, max u2 u1, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, max u2 u1, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (RingHom.instRingHomClassRingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))))) (MvPolynomial.eval.{u2, u1} R σ _inst_1 x) f) (Finset.sum.{u2, u1} R (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.support.{u2, u1} R σ _inst_1 f) (fun (d : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => HMul.hMul.{u2, u2, u2} R R R (instHMul.{u2} R (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) (MvPolynomial.coeff.{u2, u1} R σ _inst_1 d f) (Finset.prod.{u2, u1} R σ (CommSemiring.toCommMonoid.{u2} R _inst_1) (Finsupp.support.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) d) (fun (i : σ) => HPow.hPow.{u2, 0, u2} R ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : σ) => Nat) i) R (instHPow.{u2, 0} R ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : σ) => Nat) i) (Monoid.Pow.{u2} R (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) (x i) (FunLike.coe.{succ u1, succ u1, 1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) σ (fun (_x : σ) => (fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : σ) => Nat) _x) (Finsupp.funLike.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) d i)))))
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval_eq MvPolynomial.eval_eqₓ'. -/
 theorem eval_eq (x : σ → R) (f : MvPolynomial σ R) :
     eval x f = ∑ d in f.support, f.coeff d * ∏ i in d.support, x i ^ d i :=
   rfl
 #align mv_polynomial.eval_eq MvPolynomial.eval_eq
 
+/- warning: mv_polynomial.eval_eq' -> MvPolynomial.eval_eq' is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_3 : Fintype.{u2} σ] (x : σ -> R) (f : MvPolynomial.{u2, u1} σ R _inst_1), Eq.{succ u1} R (coeFn.{max (succ (max u2 u1)) (succ u1), max (succ (max u2 u1)) (succ u1)} (RingHom.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (fun (_x : RingHom.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) => (MvPolynomial.{u2, u1} σ R _inst_1) -> R) (RingHom.hasCoeToFun.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.eval.{u1, u2} R σ _inst_1 x) f) (Finset.sum.{u1, u2} R (Finsupp.{u2, 0} σ Nat Nat.hasZero) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.support.{u1, u2} R σ _inst_1 f) (fun (d : Finsupp.{u2, 0} σ Nat Nat.hasZero) => HMul.hMul.{u1, u1, u1} R R R (instHMul.{u1} R (Distrib.toHasMul.{u1} R (NonUnitalNonAssocSemiring.toDistrib.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))) (MvPolynomial.coeff.{u1, u2} R σ _inst_1 d f) (Finset.prod.{u1, u2} R σ (CommSemiring.toCommMonoid.{u1} R _inst_1) (Finset.univ.{u2} σ _inst_3) (fun (i : σ) => HPow.hPow.{u1, 0, u1} R Nat R (instHPow.{u1, 0} R Nat (Monoid.Pow.{u1} R (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (x i) (coeFn.{succ u2, succ u2} (Finsupp.{u2, 0} σ Nat Nat.hasZero) (fun (_x : Finsupp.{u2, 0} σ Nat Nat.hasZero) => σ -> Nat) (Finsupp.coeFun.{u2, 0} σ Nat Nat.hasZero) d i)))))
+but is expected to have type
+  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_3 : Fintype.{u1} σ] (x : σ -> R) (f : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) f) (FunLike.coe.{max (succ u2) (succ u1), max (succ u2) (succ u1), succ u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) _x) (MulHomClass.toFunLike.{max u2 u1, max u2 u1, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, max u2 u1, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, max u2 u1, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (RingHom.instRingHomClassRingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))))) (MvPolynomial.eval.{u2, u1} R σ _inst_1 x) f) (Finset.sum.{u2, u1} R (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.support.{u2, u1} R σ _inst_1 f) (fun (d : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) => HMul.hMul.{u2, u2, u2} R R R (instHMul.{u2} R (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) (MvPolynomial.coeff.{u2, u1} R σ _inst_1 d f) (Finset.prod.{u2, u1} R σ (CommSemiring.toCommMonoid.{u2} R _inst_1) (Finset.univ.{u1} σ _inst_3) (fun (i : σ) => HPow.hPow.{u2, 0, u2} R ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : σ) => Nat) i) R (instHPow.{u2, 0} R ((fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : σ) => Nat) i) (Monoid.Pow.{u2} R (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) (x i) (FunLike.coe.{succ u1, succ u1, 1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) σ (fun (_x : σ) => (fun (x._@.Mathlib.Data.Finsupp.Defs._hyg.779 : σ) => Nat) _x) (Finsupp.funLike.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) d i)))))
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval_eq' MvPolynomial.eval_eq'ₓ'. -/
 theorem eval_eq' [Fintype σ] (x : σ → R) (f : MvPolynomial σ R) :
     eval x f = ∑ d in f.support, f.coeff d * ∏ i, x i ^ d i :=
   eval₂_eq' (RingHom.id R) x f
 #align mv_polynomial.eval_eq' MvPolynomial.eval_eq'
 
+/- warning: mv_polynomial.eval_monomial -> MvPolynomial.eval_monomial is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {σ : Type.{u2}} {a : R} {s : Finsupp.{u2, 0} σ Nat Nat.hasZero} [_inst_1 : CommSemiring.{u1} R] {f : σ -> R}, Eq.{succ u1} R (coeFn.{max (succ (max u2 u1)) (succ u1), max (succ (max u2 u1)) (succ u1)} (RingHom.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (fun (_x : RingHom.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) => (MvPolynomial.{u2, u1} σ R _inst_1) -> R) (RingHom.hasCoeToFun.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.eval.{u1, u2} R σ _inst_1 f) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u2 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u2 u1} R R R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u2} R σ _inst_1 s) a)) (HMul.hMul.{u1, u1, u1} R R R (instHMul.{u1} R (Distrib.toHasMul.{u1} R (NonUnitalNonAssocSemiring.toDistrib.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))) a (Finsupp.prod.{u2, 0, u1} σ Nat R Nat.hasZero (CommSemiring.toCommMonoid.{u1} R _inst_1) s (fun (n : σ) (e : Nat) => HPow.hPow.{u1, 0, u1} R Nat R (instHPow.{u1, 0} R Nat (Monoid.Pow.{u1} R (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (f n) e)))
+but is expected to have type
+  forall {R : Type.{u2}} {σ : Type.{u1}} {a : R} {s : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)} [_inst_1 : CommSemiring.{u2} R] {f : σ -> R}, Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (a : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s) a)) (FunLike.coe.{max (succ u2) (succ u1), max (succ u2) (succ u1), succ u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) _x) (MulHomClass.toFunLike.{max u2 u1, max u2 u1, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, max u2 u1, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, max u2 u1, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (RingHom.instRingHomClassRingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))))) (MvPolynomial.eval.{u2, u1} R σ _inst_1 f) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s) a)) (HMul.hMul.{u2, u2, u2} R R R (instHMul.{u2} R (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) a (Finsupp.prod.{u1, 0, u2} σ Nat R (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) (CommSemiring.toCommMonoid.{u2} R _inst_1) s (fun (n : σ) (e : Nat) => HPow.hPow.{u2, 0, u2} R Nat R (instHPow.{u2, 0} R Nat (Monoid.Pow.{u2} R (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) (f n) e)))
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval_monomial MvPolynomial.eval_monomialₓ'. -/
 theorem eval_monomial : eval f (monomial s a) = a * s.Prod fun n e => f n ^ e :=
   eval₂_monomial _ _
 #align mv_polynomial.eval_monomial MvPolynomial.eval_monomial
 
-@[simp]
-theorem eval_c : ∀ a, eval f (c a) = a :=
-  eval₂_c _ _
-#align mv_polynomial.eval_C MvPolynomial.eval_c
-
-@[simp]
-theorem eval_x : ∀ n, eval f (x n) = f n :=
-  eval₂_x _ _
-#align mv_polynomial.eval_X MvPolynomial.eval_x
-
+/- warning: mv_polynomial.eval_C -> MvPolynomial.eval_C is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {f : σ -> R} (a : R), Eq.{succ u1} R (coeFn.{max (succ (max u2 u1)) (succ u1), max (succ (max u2 u1)) (succ u1)} (RingHom.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (fun (_x : RingHom.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) => (MvPolynomial.{u2, u1} σ R _inst_1) -> R) (RingHom.hasCoeToFun.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.eval.{u1, u2} R σ _inst_1 f) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (fun (_x : RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (MvPolynomial.C.{u1, u2} R σ _inst_1) a)) a
+but is expected to have type
+  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] {f : σ -> R} (a : R), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (a : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) a)) (FunLike.coe.{max (succ u2) (succ u1), max (succ u2) (succ u1), succ u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) _x) (MulHomClass.toFunLike.{max u2 u1, max u2 u1, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, max u2 u1, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, max u2 u1, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (RingHom.instRingHomClassRingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))))) (MvPolynomial.eval.{u2, u1} R σ _inst_1 f) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) a)) a
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval_C MvPolynomial.eval_Cₓ'. -/
+@[simp]
+theorem eval_C : ∀ a, eval f (C a) = a :=
+  eval₂_C _ _
+#align mv_polynomial.eval_C MvPolynomial.eval_C
+
+/- warning: mv_polynomial.eval_X -> MvPolynomial.eval_X is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {f : σ -> R} (n : σ), Eq.{succ u1} R (coeFn.{max (succ (max u2 u1)) (succ u1), max (succ (max u2 u1)) (succ u1)} (RingHom.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (fun (_x : RingHom.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) => (MvPolynomial.{u2, u1} σ R _inst_1) -> R) (RingHom.hasCoeToFun.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.eval.{u1, u2} R σ _inst_1 f) (MvPolynomial.X.{u1, u2} R σ _inst_1 n)) (f n)
+but is expected to have type
+  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] {f : σ -> R} (n : σ), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) (MvPolynomial.X.{u2, u1} R σ _inst_1 n)) (FunLike.coe.{max (succ u2) (succ u1), max (succ u2) (succ u1), succ u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) _x) (MulHomClass.toFunLike.{max u2 u1, max u2 u1, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, max u2 u1, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, max u2 u1, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (RingHom.instRingHomClassRingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))))) (MvPolynomial.eval.{u2, u1} R σ _inst_1 f) (MvPolynomial.X.{u2, u1} R σ _inst_1 n)) (f n)
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval_X MvPolynomial.eval_Xₓ'. -/
+@[simp]
+theorem eval_X : ∀ n, eval f (X n) = f n :=
+  eval₂_X _ _
+#align mv_polynomial.eval_X MvPolynomial.eval_X
+
+/- warning: mv_polynomial.smul_eval -> MvPolynomial.smul_eval is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] (x : σ -> R) (p : MvPolynomial.{u2, u1} σ R _inst_1) (s : R), Eq.{succ u1} R (coeFn.{max (succ (max u2 u1)) (succ u1), max (succ (max u2 u1)) (succ u1)} (RingHom.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (fun (_x : RingHom.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) => (MvPolynomial.{u2, u1} σ R _inst_1) -> R) (RingHom.hasCoeToFun.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.eval.{u1, u2} R σ _inst_1 x) (SMul.smul.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (SMulZeroClass.toHasSmul.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (AddZeroClass.toHasZero.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))))))) (SMulWithZero.toSmulZeroClass.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))))))) (MulActionWithZero.toSMulWithZero.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))))))) (Module.toMulActionWithZero.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) (MvPolynomial.module.{u1, u1, u2} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))))) s p)) (HMul.hMul.{u1, u1, u1} R R R (instHMul.{u1} R (Distrib.toHasMul.{u1} R (NonUnitalNonAssocSemiring.toDistrib.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))) s (coeFn.{max (succ (max u2 u1)) (succ u1), max (succ (max u2 u1)) (succ u1)} (RingHom.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (fun (_x : RingHom.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) => (MvPolynomial.{u2, u1} σ R _inst_1) -> R) (RingHom.hasCoeToFun.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.eval.{u1, u2} R σ _inst_1 x) p))
+but is expected to have type
+  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] (x : σ -> R) (p : MvPolynomial.{u1, u2} σ R _inst_1) (s : R), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) (HSMul.hSMul.{u2, max u2 u1, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (instHSMul.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Algebra.toSMul.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) s p)) (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), succ u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) _x) (MulHomClass.toFunLike.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (RingHom.instRingHomClassRingHom.{max u1 u2, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))))) (MvPolynomial.eval.{u2, u1} R σ _inst_1 x) (HSMul.hSMul.{u2, max u2 u1, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (instHSMul.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Algebra.toSMul.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) s p)) (HMul.hMul.{u2, u2, u2} R ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) R (instHMul.{u2} R (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) s (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), succ u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) _x) (MulHomClass.toFunLike.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (RingHom.instRingHomClassRingHom.{max u1 u2, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))))) (MvPolynomial.eval.{u2, u1} R σ _inst_1 x) p))
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.smul_eval MvPolynomial.smul_evalₓ'. -/
 @[simp]
 theorem smul_eval (x) (p : MvPolynomial σ R) (s) : eval x (s • p) = s * eval x p := by
   rw [smul_eq_C_mul, (eval x).map_mul, eval_C]
 #align mv_polynomial.smul_eval MvPolynomial.smul_eval
 
+/- warning: mv_polynomial.eval_sum -> MvPolynomial.eval_sum is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {ι : Type.{u3}} (s : Finset.{u3} ι) (f : ι -> (MvPolynomial.{u2, u1} σ R _inst_1)) (g : σ -> R), Eq.{succ u1} R (coeFn.{max (succ (max u2 u1)) (succ u1), max (succ (max u2 u1)) (succ u1)} (RingHom.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (fun (_x : RingHom.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) => (MvPolynomial.{u2, u1} σ R _inst_1) -> R) (RingHom.hasCoeToFun.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.eval.{u1, u2} R σ _inst_1 g) (Finset.sum.{max u2 u1, u3} (MvPolynomial.{u2, u1} σ R _inst_1) ι (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))))) s (fun (i : ι) => f i))) (Finset.sum.{u1, u3} R ι (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) s (fun (i : ι) => coeFn.{max (succ (max u2 u1)) (succ u1), max (succ (max u2 u1)) (succ u1)} (RingHom.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (fun (_x : RingHom.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) => (MvPolynomial.{u2, u1} σ R _inst_1) -> R) (RingHom.hasCoeToFun.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.eval.{u1, u2} R σ _inst_1 g) (f i)))
+but is expected to have type
+  forall {R : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u3} R] {ι : Type.{u2}} (s : Finset.{u2} ι) (f : ι -> (MvPolynomial.{u1, u3} σ R _inst_1)) (g : σ -> R), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u3} σ R _inst_1) => R) (Finset.sum.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) ι (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) s (fun (i : ι) => f i))) (FunLike.coe.{max (succ u3) (succ u1), max (succ u3) (succ u1), succ u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (MvPolynomial.{u1, u3} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u3} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u3} σ R _inst_1) => R) _x) (MulHomClass.toFunLike.{max u3 u1, max u3 u1, u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (MvPolynomial.{u1, u3} σ R _inst_1) R (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{max u3 u1, max u3 u1, u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (MvPolynomial.{u1, u3} σ R _inst_1) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{max u3 u1, max u3 u1, u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (MvPolynomial.{u1, u3} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (RingHom.instRingHomClassRingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))))) (MvPolynomial.eval.{u3, u1} R σ _inst_1 g) (Finset.sum.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) ι (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) s (fun (i : ι) => f i))) (Finset.sum.{u3, u2} R ι (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) s (fun (i : ι) => FunLike.coe.{max (succ u3) (succ u1), max (succ u3) (succ u1), succ u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (MvPolynomial.{u1, u3} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u3} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u3} σ R _inst_1) => R) _x) (MulHomClass.toFunLike.{max u3 u1, max u3 u1, u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (MvPolynomial.{u1, u3} σ R _inst_1) R (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{max u3 u1, max u3 u1, u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (MvPolynomial.{u1, u3} σ R _inst_1) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{max u3 u1, max u3 u1, u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (MvPolynomial.{u1, u3} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (RingHom.instRingHomClassRingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))))) (MvPolynomial.eval.{u3, u1} R σ _inst_1 g) (f i)))
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval_sum MvPolynomial.eval_sumₓ'. -/
 theorem eval_sum {ι : Type _} (s : Finset ι) (f : ι → MvPolynomial σ R) (g : σ → R) :
     eval g (∑ i in s, f i) = ∑ i in s, eval g (f i) :=
   (eval g).map_sum _ _
 #align mv_polynomial.eval_sum MvPolynomial.eval_sum
 
+/- warning: mv_polynomial.eval_prod -> MvPolynomial.eval_prod is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {ι : Type.{u3}} (s : Finset.{u3} ι) (f : ι -> (MvPolynomial.{u2, u1} σ R _inst_1)) (g : σ -> R), Eq.{succ u1} R (coeFn.{max (succ (max u2 u1)) (succ u1), max (succ (max u2 u1)) (succ u1)} (RingHom.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (fun (_x : RingHom.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) => (MvPolynomial.{u2, u1} σ R _inst_1) -> R) (RingHom.hasCoeToFun.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.eval.{u1, u2} R σ _inst_1 g) (Finset.prod.{max u2 u1, u3} (MvPolynomial.{u2, u1} σ R _inst_1) ι (CommSemiring.toCommMonoid.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) s (fun (i : ι) => f i))) (Finset.prod.{u1, u3} R ι (CommSemiring.toCommMonoid.{u1} R _inst_1) s (fun (i : ι) => coeFn.{max (succ (max u2 u1)) (succ u1), max (succ (max u2 u1)) (succ u1)} (RingHom.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (fun (_x : RingHom.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) => (MvPolynomial.{u2, u1} σ R _inst_1) -> R) (RingHom.hasCoeToFun.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.eval.{u1, u2} R σ _inst_1 g) (f i)))
+but is expected to have type
+  forall {R : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u3} R] {ι : Type.{u2}} (s : Finset.{u2} ι) (f : ι -> (MvPolynomial.{u1, u3} σ R _inst_1)) (g : σ -> R), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u3} σ R _inst_1) => R) (Finset.prod.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) ι (CommSemiring.toCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) s (fun (i : ι) => f i))) (FunLike.coe.{max (succ u3) (succ u1), max (succ u3) (succ u1), succ u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (MvPolynomial.{u1, u3} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u3} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u3} σ R _inst_1) => R) _x) (MulHomClass.toFunLike.{max u3 u1, max u3 u1, u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (MvPolynomial.{u1, u3} σ R _inst_1) R (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{max u3 u1, max u3 u1, u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (MvPolynomial.{u1, u3} σ R _inst_1) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{max u3 u1, max u3 u1, u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (MvPolynomial.{u1, u3} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (RingHom.instRingHomClassRingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))))) (MvPolynomial.eval.{u3, u1} R σ _inst_1 g) (Finset.prod.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) ι (CommSemiring.toCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) s (fun (i : ι) => f i))) (Finset.prod.{u3, u2} R ι (CommSemiring.toCommMonoid.{u3} R _inst_1) s (fun (i : ι) => FunLike.coe.{max (succ u3) (succ u1), max (succ u3) (succ u1), succ u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (MvPolynomial.{u1, u3} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u3} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u3} σ R _inst_1) => R) _x) (MulHomClass.toFunLike.{max u3 u1, max u3 u1, u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (MvPolynomial.{u1, u3} σ R _inst_1) R (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{max u3 u1, max u3 u1, u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (MvPolynomial.{u1, u3} σ R _inst_1) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{max u3 u1, max u3 u1, u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (MvPolynomial.{u1, u3} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (RingHom.instRingHomClassRingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))))) (MvPolynomial.eval.{u3, u1} R σ _inst_1 g) (f i)))
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval_prod MvPolynomial.eval_prodₓ'. -/
 @[to_additive]
 theorem eval_prod {ι : Type _} (s : Finset ι) (f : ι → MvPolynomial σ R) (g : σ → R) :
     eval g (∏ i in s, f i) = ∏ i in s, eval g (f i) :=
@@ -1139,8 +2029,14 @@ theorem eval_prod {ι : Type _} (s : Finset ι) (f : ι → MvPolynomial σ R) (
 #align mv_polynomial.eval_prod MvPolynomial.eval_prod
 #align mv_polynomial.eval_sum MvPolynomial.eval_sum
 
+/- warning: mv_polynomial.eval_assoc -> MvPolynomial.eval_assoc is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {τ : Type.{u3}} (f : σ -> (MvPolynomial.{u3, u1} τ R _inst_1)) (g : τ -> R) (p : MvPolynomial.{u2, u1} σ R _inst_1), Eq.{succ u1} R (coeFn.{max (succ (max u2 u1)) (succ u1), max (succ (max u2 u1)) (succ u1)} (RingHom.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (fun (_x : RingHom.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) => (MvPolynomial.{u2, u1} σ R _inst_1) -> R) (RingHom.hasCoeToFun.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.eval.{u1, u2} R σ _inst_1 (Function.comp.{succ u2, max (succ u3) (succ u1), succ u1} σ (MvPolynomial.{u3, u1} τ R _inst_1) R (coeFn.{max (succ (max u3 u1)) (succ u1), max (succ (max u3 u1)) (succ u1)} (RingHom.{max u3 u1, u1} (MvPolynomial.{u3, u1} τ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} τ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} τ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R τ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (fun (_x : RingHom.{max u3 u1, u1} (MvPolynomial.{u3, u1} τ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} τ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} τ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R τ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) => (MvPolynomial.{u3, u1} τ R _inst_1) -> R) (RingHom.hasCoeToFun.{max u3 u1, u1} (MvPolynomial.{u3, u1} τ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} τ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} τ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R τ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.eval.{u1, u3} R τ _inst_1 g)) f)) p) (coeFn.{max (succ (max u3 u1)) (succ u1), max (succ (max u3 u1)) (succ u1)} (RingHom.{max u3 u1, u1} (MvPolynomial.{u3, u1} τ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} τ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} τ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R τ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (fun (_x : RingHom.{max u3 u1, u1} (MvPolynomial.{u3, u1} τ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} τ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} τ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R τ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) => (MvPolynomial.{u3, u1} τ R _inst_1) -> R) (RingHom.hasCoeToFun.{max u3 u1, u1} (MvPolynomial.{u3, u1} τ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} τ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} τ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R τ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.eval.{u1, u3} R τ _inst_1 g) (MvPolynomial.eval₂.{u1, max u3 u1, u2} R (MvPolynomial.{u3, u1} τ R _inst_1) σ _inst_1 (MvPolynomial.commSemiring.{u1, u3} R τ _inst_1) (MvPolynomial.C.{u1, u3} R τ _inst_1) f p))
+but is expected to have type
+  forall {R : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u3} R] {τ : Type.{u2}} (f : σ -> (MvPolynomial.{u2, u3} τ R _inst_1)) (g : τ -> R) (p : MvPolynomial.{u1, u3} σ R _inst_1), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u3} σ R _inst_1) => R) p) (FunLike.coe.{max (succ u3) (succ u1), max (succ u3) (succ u1), succ u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (MvPolynomial.{u1, u3} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u3} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u3} σ R _inst_1) => R) _x) (MulHomClass.toFunLike.{max u3 u1, max u3 u1, u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (MvPolynomial.{u1, u3} σ R _inst_1) R (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{max u3 u1, max u3 u1, u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (MvPolynomial.{u1, u3} σ R _inst_1) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{max u3 u1, max u3 u1, u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (MvPolynomial.{u1, u3} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (RingHom.instRingHomClassRingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))))) (MvPolynomial.eval.{u3, u1} R σ _inst_1 (Function.comp.{succ u1, max (succ u3) (succ u2), succ u3} σ (MvPolynomial.{u2, u3} τ R _inst_1) R (FunLike.coe.{max (succ u3) (succ u2), max (succ u3) (succ u2), succ u3} (RingHom.{max u3 u2, u3} (MvPolynomial.{u2, u3} τ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} τ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R τ _inst_1))) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (MvPolynomial.{u2, u3} τ R _inst_1) (fun (_x : MvPolynomial.{u2, u3} τ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u2, u3} τ R _inst_1) => R) _x) (MulHomClass.toFunLike.{max u3 u2, max u3 u2, u3} (RingHom.{max u3 u2, u3} (MvPolynomial.{u2, u3} τ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} τ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R τ _inst_1))) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (MvPolynomial.{u2, u3} τ R _inst_1) R (NonUnitalNonAssocSemiring.toMul.{max u3 u2} (MvPolynomial.{u2, u3} τ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} τ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} τ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R τ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{max u3 u2, max u3 u2, u3} (RingHom.{max u3 u2, u3} (MvPolynomial.{u2, u3} τ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} τ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R τ _inst_1))) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (MvPolynomial.{u2, u3} τ R _inst_1) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} τ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} τ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R τ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{max u3 u2, max u3 u2, u3} (RingHom.{max u3 u2, u3} (MvPolynomial.{u2, u3} τ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} τ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R τ _inst_1))) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (MvPolynomial.{u2, u3} τ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} τ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R τ _inst_1))) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (RingHom.instRingHomClassRingHom.{max u3 u2, u3} (MvPolynomial.{u2, u3} τ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} τ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R τ _inst_1))) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))))) (MvPolynomial.eval.{u3, u2} R τ _inst_1 g)) f)) p) (FunLike.coe.{max (succ u3) (succ u2), max (succ u3) (succ u2), succ u3} (RingHom.{max u3 u2, u3} (MvPolynomial.{u2, u3} τ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} τ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R τ _inst_1))) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (MvPolynomial.{u2, u3} τ R _inst_1) (fun (_x : MvPolynomial.{u2, u3} τ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u2, u3} τ R _inst_1) => R) _x) (MulHomClass.toFunLike.{max u3 u2, max u3 u2, u3} (RingHom.{max u3 u2, u3} (MvPolynomial.{u2, u3} τ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} τ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R τ _inst_1))) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (MvPolynomial.{u2, u3} τ R _inst_1) R (NonUnitalNonAssocSemiring.toMul.{max u3 u2} (MvPolynomial.{u2, u3} τ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} τ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} τ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R τ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{max u3 u2, max u3 u2, u3} (RingHom.{max u3 u2, u3} (MvPolynomial.{u2, u3} τ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} τ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R τ _inst_1))) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (MvPolynomial.{u2, u3} τ R _inst_1) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} τ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} τ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R τ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{max u3 u2, max u3 u2, u3} (RingHom.{max u3 u2, u3} (MvPolynomial.{u2, u3} τ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} τ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R τ _inst_1))) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (MvPolynomial.{u2, u3} τ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} τ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R τ _inst_1))) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (RingHom.instRingHomClassRingHom.{max u3 u2, u3} (MvPolynomial.{u2, u3} τ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u2, u3} τ R _inst_1) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u2, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R τ _inst_1))) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))))) (MvPolynomial.eval.{u3, u2} R τ _inst_1 g) (MvPolynomial.eval₂.{u3, max u3 u2, u1} R (MvPolynomial.{u2, u3} τ R _inst_1) σ _inst_1 (MvPolynomial.commSemiring.{u3, u2} R τ _inst_1) (MvPolynomial.C.{u3, u2} R τ _inst_1) f p))
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval_assoc MvPolynomial.eval_assocₓ'. -/
 theorem eval_assoc {τ} (f : σ → MvPolynomial τ R) (g : τ → R) (p : MvPolynomial σ R) :
-    eval (eval g ∘ f) p = eval g (eval₂ c f p) :=
+    eval (eval g ∘ f) p = eval g (eval₂ C f p) :=
   by
   rw [eval₂_comp_left (eval g)]
   unfold eval; simp only [coe_eval₂_hom]
@@ -1153,33 +2049,65 @@ section Map
 
 variable (f : R →+* S₁)
 
+#print MvPolynomial.map /-
 /-- `map f p` maps a polynomial `p` across a ring hom `f` -/
 def map : MvPolynomial σ R →+* MvPolynomial σ S₁ :=
-  eval₂Hom (c.comp f) x
+  eval₂Hom (C.comp f) X
 #align mv_polynomial.map MvPolynomial.map
+-/
 
+/- warning: mv_polynomial.map_monomial -> MvPolynomial.map_monomial is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {S₁ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] (f : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (s : Finsupp.{u3, 0} σ Nat Nat.hasZero) (a : R), Eq.{max (succ u3) (succ u2)} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (coeFn.{max (succ (max u3 u1)) (succ (max u3 u2)), max (succ (max u3 u1)) (succ (max u3 u2))} (RingHom.{max u3 u1, max u3 u2} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))) (fun (_x : RingHom.{max u3 u1, max u3 u2} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))) => (MvPolynomial.{u3, u1} σ R _inst_1) -> (MvPolynomial.{u3, u2} σ S₁ _inst_2)) (RingHom.hasCoeToFun.{max u3 u1, max u3 u2} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))) (MvPolynomial.map.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 f) (coeFn.{max (succ u1) (succ (max u3 u1)), max (succ u1) (succ (max u3 u1))} (LinearMap.{u1, u1, u1, max u3 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u3, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u3 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u3, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u3, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u3 u1} R R R (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u3} R σ _inst_1 s) a)) (coeFn.{max (succ u2) (succ (max u3 u2)), max (succ u2) (succ (max u3 u2))} (LinearMap.{u2, u2, u2, max u3 u2} S₁ S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2) (CommSemiring.toSemiring.{u2} S₁ _inst_2) (RingHom.id.{u2} S₁ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) S₁ (MvPolynomial.{u3, u2} σ S₁ _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S₁ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2))))) (Semiring.toModule.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (MvPolynomial.module.{u2, u2, u3} S₁ S₁ σ (CommSemiring.toSemiring.{u2} S₁ _inst_2) _inst_2 (Semiring.toModule.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)))) (fun (_x : LinearMap.{u2, u2, u2, max u3 u2} S₁ S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2) (CommSemiring.toSemiring.{u2} S₁ _inst_2) (RingHom.id.{u2} S₁ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) S₁ (MvPolynomial.{u3, u2} σ S₁ _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S₁ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2))))) (Semiring.toModule.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (MvPolynomial.module.{u2, u2, u3} S₁ S₁ σ (CommSemiring.toSemiring.{u2} S₁ _inst_2) _inst_2 (Semiring.toModule.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)))) => S₁ -> (MvPolynomial.{u3, u2} σ S₁ _inst_2)) (LinearMap.hasCoeToFun.{u2, u2, u2, max u3 u2} S₁ S₁ S₁ (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{u2} S₁ _inst_2) (CommSemiring.toSemiring.{u2} S₁ _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S₁ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2))))) (Semiring.toModule.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (MvPolynomial.module.{u2, u2, u3} S₁ S₁ σ (CommSemiring.toSemiring.{u2} S₁ _inst_2) _inst_2 (Semiring.toModule.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (RingHom.id.{u2} S₁ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)))) (MvPolynomial.monomial.{u2, u3} S₁ σ _inst_2 s) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (fun (_x : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) => R -> S₁) (RingHom.hasCoeToFun.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) f a))
+but is expected to have type
+  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] (f : RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (s : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (a : R), Eq.{max (succ u3) (succ u1)} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u3} σ S₁ _inst_2) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (a : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s) a)) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u2) (succ u1), max (succ u3) (succ u1)} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u3} σ S₁ _inst_2) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (RingHom.instRingHomClassRingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))))) (MvPolynomial.map.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 s) a)) (FunLike.coe.{max (succ u1) (succ u3), succ u3, max (succ u1) (succ u3)} (LinearMap.{u3, u3, u3, max u3 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) _inst_2) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) _inst_2) (RingHom.id.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) (Semiring.toNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) _inst_2))) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) (Semiring.toNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) _inst_2) (MvPolynomial.commSemiring.{u3, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) σ _inst_2))))) (Semiring.toModule.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) _inst_2)) (MvPolynomial.module.{u3, u3, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) σ (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) _inst_2) _inst_2 (Semiring.toModule.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) _inst_2)))) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) (fun (_x : (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) => MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) _inst_2) _x) (LinearMap.instFunLikeLinearMap.{u3, u3, u3, max u1 u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) _inst_2) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) _inst_2) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) (Semiring.toNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) _inst_2) (MvPolynomial.commSemiring.{u3, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) σ _inst_2))))) (Semiring.toModule.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) _inst_2)) (MvPolynomial.module.{u3, u3, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) σ (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) _inst_2) _inst_2 (Semiring.toModule.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) _inst_2))) (RingHom.id.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) (Semiring.toNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) _inst_2)))) (MvPolynomial.monomial.{u3, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) σ _inst_2 s) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) _x) (MulHomClass.toFunLike.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) f a))
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.map_monomial MvPolynomial.map_monomialₓ'. -/
 @[simp]
 theorem map_monomial (s : σ →₀ ℕ) (a : R) : map f (monomial s a) = monomial s (f a) :=
   (eval₂_monomial _ _).trans monomial_eq.symm
 #align mv_polynomial.map_monomial MvPolynomial.map_monomial
 
+/- warning: mv_polynomial.map_C -> MvPolynomial.map_C is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {S₁ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] (f : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (a : R), Eq.{max (succ u3) (succ u2)} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (coeFn.{max (succ (max u3 u1)) (succ (max u3 u2)), max (succ (max u3 u1)) (succ (max u3 u2))} (RingHom.{max u3 u1, max u3 u2} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))) (fun (_x : RingHom.{max u3 u1, max u3 u2} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))) => (MvPolynomial.{u3, u1} σ R _inst_1) -> (MvPolynomial.{u3, u2} σ S₁ _inst_2)) (RingHom.hasCoeToFun.{max u3 u1, max u3 u2} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))) (MvPolynomial.map.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 f) (coeFn.{max (succ u1) (succ (max u3 u1)), max (succ u1) (succ (max u3 u1))} (RingHom.{u1, max u3 u1} R (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)))) (fun (_x : RingHom.{u1, max u3 u1} R (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)))) => R -> (MvPolynomial.{u3, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{u1, max u3 u1} R (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)))) (MvPolynomial.C.{u1, u3} R σ _inst_1) a)) (coeFn.{max (succ u2) (succ (max u3 u2)), max (succ u2) (succ (max u3 u2))} (RingHom.{u2, max u3 u2} S₁ (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))) (fun (_x : RingHom.{u2, max u3 u2} S₁ (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))) => S₁ -> (MvPolynomial.{u3, u2} σ S₁ _inst_2)) (RingHom.hasCoeToFun.{u2, max u3 u2} S₁ (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))) (MvPolynomial.C.{u2, u3} S₁ σ _inst_2) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (fun (_x : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) => R -> S₁) (RingHom.hasCoeToFun.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) f a))
+but is expected to have type
+  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] (f : RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (a : R), Eq.{max (succ u3) (succ u1)} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u3} σ S₁ _inst_2) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (a : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) a)) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u2) (succ u1), max (succ u3) (succ u1)} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u3} σ S₁ _inst_2) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (RingHom.instRingHomClassRingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))))) (MvPolynomial.map.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) a)) (FunLike.coe.{max (succ u1) (succ u3), succ u3, max (succ u1) (succ u3)} (RingHom.{u3, max u3 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) _inst_2) (Semiring.toNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) _inst_2)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) _inst_2) (MvPolynomial.commSemiring.{u3, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) σ _inst_2)))) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) (fun (_x : (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) => MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) _inst_2) _x) (MulHomClass.toFunLike.{max u1 u3, u3, max u1 u3} (RingHom.{u3, max u3 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) _inst_2) (Semiring.toNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) _inst_2)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) _inst_2) (MvPolynomial.commSemiring.{u3, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) σ _inst_2)))) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) _inst_2) (NonUnitalNonAssocSemiring.toMul.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) (Semiring.toNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) _inst_2)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u3} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) _inst_2) (MvPolynomial.commSemiring.{u3, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) σ _inst_2))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u3, u3, max u1 u3} (RingHom.{u3, max u3 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) _inst_2) (Semiring.toNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) _inst_2)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) _inst_2) (MvPolynomial.commSemiring.{u3, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) σ _inst_2)))) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) (Semiring.toNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) _inst_2))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) _inst_2) (MvPolynomial.commSemiring.{u3, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) σ _inst_2)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u3, u3, max u1 u3} (RingHom.{u3, max u3 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) _inst_2) (Semiring.toNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) _inst_2)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) _inst_2) (MvPolynomial.commSemiring.{u3, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) σ _inst_2)))) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) _inst_2) (Semiring.toNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) _inst_2)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) _inst_2) (MvPolynomial.commSemiring.{u3, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) σ _inst_2))) (RingHom.instRingHomClassRingHom.{u3, max u1 u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) _inst_2) (Semiring.toNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) _inst_2)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) _inst_2) (MvPolynomial.commSemiring.{u3, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) σ _inst_2))))))) (MvPolynomial.C.{u3, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) a) σ _inst_2) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) _x) (MulHomClass.toFunLike.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) f a))
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.map_C MvPolynomial.map_Cₓ'. -/
 @[simp]
-theorem map_c : ∀ a : R, map f (c a : MvPolynomial σ R) = c (f a) :=
+theorem map_C : ∀ a : R, map f (C a : MvPolynomial σ R) = C (f a) :=
   map_monomial _ _
-#align mv_polynomial.map_C MvPolynomial.map_c
-
-@[simp]
-theorem map_x : ∀ n : σ, map f (x n : MvPolynomial σ R) = x n :=
-  eval₂_x _ _
-#align mv_polynomial.map_X MvPolynomial.map_x
-
+#align mv_polynomial.map_C MvPolynomial.map_C
+
+/- warning: mv_polynomial.map_X -> MvPolynomial.map_X is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {S₁ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] (f : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (n : σ), Eq.{max (succ u3) (succ u2)} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (coeFn.{max (succ (max u3 u1)) (succ (max u3 u2)), max (succ (max u3 u1)) (succ (max u3 u2))} (RingHom.{max u3 u1, max u3 u2} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))) (fun (_x : RingHom.{max u3 u1, max u3 u2} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))) => (MvPolynomial.{u3, u1} σ R _inst_1) -> (MvPolynomial.{u3, u2} σ S₁ _inst_2)) (RingHom.hasCoeToFun.{max u3 u1, max u3 u2} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))) (MvPolynomial.map.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 f) (MvPolynomial.X.{u1, u3} R σ _inst_1 n)) (MvPolynomial.X.{u2, u3} S₁ σ _inst_2 n)
+but is expected to have type
+  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] (f : RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (n : σ), Eq.{max (succ u3) (succ u1)} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.X.{u2, u1} R σ _inst_1 n)) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u2) (succ u1), max (succ u3) (succ u1)} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u3} σ S₁ _inst_2) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (RingHom.instRingHomClassRingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))))) (MvPolynomial.map.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f) (MvPolynomial.X.{u2, u1} R σ _inst_1 n)) (MvPolynomial.X.{u3, u1} S₁ σ _inst_2 n)
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.map_X MvPolynomial.map_Xₓ'. -/
+@[simp]
+theorem map_X : ∀ n : σ, map f (X n : MvPolynomial σ R) = X n :=
+  eval₂_X _ _
+#align mv_polynomial.map_X MvPolynomial.map_X
+
+/- warning: mv_polynomial.map_id -> MvPolynomial.map_id is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] (p : MvPolynomial.{u2, u1} σ R _inst_1), Eq.{max (succ u2) (succ u1)} (MvPolynomial.{u2, u1} σ R _inst_1) (coeFn.{succ (max u2 u1), succ (max u2 u1)} (RingHom.{max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (fun (_x : RingHom.{max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) => (MvPolynomial.{u2, u1} σ R _inst_1) -> (MvPolynomial.{u2, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{max u2 u1, max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (MvPolynomial.map.{u1, u1, u2} R R σ _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) p) p
+but is expected to have type
+  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] (p : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u2} σ R _inst_1) p) (FunLike.coe.{max (succ u2) (succ u1), max (succ u2) (succ u1), max (succ u2) (succ u1)} (RingHom.{max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u2 u1, max u2 u1, max u2 u1} (RingHom.{max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, max u2 u1, max u2 u1} (RingHom.{max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, max u2 u1, max u2 u1} (RingHom.{max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{max u2 u1, max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.map.{u2, u2, u1} R R σ _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) p) p
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.map_id MvPolynomial.map_idₓ'. -/
 theorem map_id : ∀ p : MvPolynomial σ R, map (RingHom.id R) p = p :=
   eval₂_eta
 #align mv_polynomial.map_id MvPolynomial.map_id
 
+/- warning: mv_polynomial.map_map -> MvPolynomial.map_map is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {S₁ : Type.{u2}} {S₂ : Type.{u3}} {σ : Type.{u4}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] (f : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) [_inst_3 : CommSemiring.{u3} S₂] (g : RingHom.{u2, u3} S₁ S₂ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_3))) (p : MvPolynomial.{u4, u1} σ R _inst_1), Eq.{max (succ u4) (succ u3)} (MvPolynomial.{u4, u3} σ S₂ _inst_3) (coeFn.{max (succ (max u4 u2)) (succ (max u4 u3)), max (succ (max u4 u2)) (succ (max u4 u3))} (RingHom.{max u4 u2, max u4 u3} (MvPolynomial.{u4, u2} σ S₁ _inst_2) (MvPolynomial.{u4, u3} σ S₂ _inst_3) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u4, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u4, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u4} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{max u4 u3} (MvPolynomial.{u4, u3} σ S₂ _inst_3) (CommSemiring.toSemiring.{max u4 u3} (MvPolynomial.{u4, u3} σ S₂ _inst_3) (MvPolynomial.commSemiring.{u3, u4} S₂ σ _inst_3)))) (fun (_x : RingHom.{max u4 u2, max u4 u3} (MvPolynomial.{u4, u2} σ S₁ _inst_2) (MvPolynomial.{u4, u3} σ S₂ _inst_3) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u4, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u4, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u4} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{max u4 u3} (MvPolynomial.{u4, u3} σ S₂ _inst_3) (CommSemiring.toSemiring.{max u4 u3} (MvPolynomial.{u4, u3} σ S₂ _inst_3) (MvPolynomial.commSemiring.{u3, u4} S₂ σ _inst_3)))) => (MvPolynomial.{u4, u2} σ S₁ _inst_2) -> (MvPolynomial.{u4, u3} σ S₂ _inst_3)) (RingHom.hasCoeToFun.{max u4 u2, max u4 u3} (MvPolynomial.{u4, u2} σ S₁ _inst_2) (MvPolynomial.{u4, u3} σ S₂ _inst_3) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u4, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u4, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u4} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{max u4 u3} (MvPolynomial.{u4, u3} σ S₂ _inst_3) (CommSemiring.toSemiring.{max u4 u3} (MvPolynomial.{u4, u3} σ S₂ _inst_3) (MvPolynomial.commSemiring.{u3, u4} S₂ σ _inst_3)))) (MvPolynomial.map.{u2, u3, u4} S₁ S₂ σ _inst_2 _inst_3 g) (coeFn.{max (succ (max u4 u1)) (succ (max u4 u2)), max (succ (max u4 u1)) (succ (max u4 u2))} (RingHom.{max u4 u1, max u4 u2} (MvPolynomial.{u4, u1} σ R _inst_1) (MvPolynomial.{u4, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u4, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u4, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u4} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u4, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u4, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u4} S₁ σ _inst_2)))) (fun (_x : RingHom.{max u4 u1, max u4 u2} (MvPolynomial.{u4, u1} σ R _inst_1) (MvPolynomial.{u4, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u4, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u4, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u4} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u4, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u4, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u4} S₁ σ _inst_2)))) => (MvPolynomial.{u4, u1} σ R _inst_1) -> (MvPolynomial.{u4, u2} σ S₁ _inst_2)) (RingHom.hasCoeToFun.{max u4 u1, max u4 u2} (MvPolynomial.{u4, u1} σ R _inst_1) (MvPolynomial.{u4, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u4, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u4, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u4} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u4, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u4, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u4} S₁ σ _inst_2)))) (MvPolynomial.map.{u1, u2, u4} R S₁ σ _inst_1 _inst_2 f) p)) (coeFn.{max (succ (max u4 u1)) (succ (max u4 u3)), max (succ (max u4 u1)) (succ (max u4 u3))} (RingHom.{max u4 u1, max u4 u3} (MvPolynomial.{u4, u1} σ R _inst_1) (MvPolynomial.{u4, u3} σ S₂ _inst_3) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u4, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u4, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u4} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u4 u3} (MvPolynomial.{u4, u3} σ S₂ _inst_3) (CommSemiring.toSemiring.{max u4 u3} (MvPolynomial.{u4, u3} σ S₂ _inst_3) (MvPolynomial.commSemiring.{u3, u4} S₂ σ _inst_3)))) (fun (_x : RingHom.{max u4 u1, max u4 u3} (MvPolynomial.{u4, u1} σ R _inst_1) (MvPolynomial.{u4, u3} σ S₂ _inst_3) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u4, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u4, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u4} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u4 u3} (MvPolynomial.{u4, u3} σ S₂ _inst_3) (CommSemiring.toSemiring.{max u4 u3} (MvPolynomial.{u4, u3} σ S₂ _inst_3) (MvPolynomial.commSemiring.{u3, u4} S₂ σ _inst_3)))) => (MvPolynomial.{u4, u1} σ R _inst_1) -> (MvPolynomial.{u4, u3} σ S₂ _inst_3)) (RingHom.hasCoeToFun.{max u4 u1, max u4 u3} (MvPolynomial.{u4, u1} σ R _inst_1) (MvPolynomial.{u4, u3} σ S₂ _inst_3) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u4, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u4, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u4} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u4 u3} (MvPolynomial.{u4, u3} σ S₂ _inst_3) (CommSemiring.toSemiring.{max u4 u3} (MvPolynomial.{u4, u3} σ S₂ _inst_3) (MvPolynomial.commSemiring.{u3, u4} S₂ σ _inst_3)))) (MvPolynomial.map.{u1, u3, u4} R S₂ σ _inst_1 _inst_3 (RingHom.comp.{u1, u2, u3} R S₁ S₂ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_3)) g f)) p)
+but is expected to have type
+  forall {R : Type.{u2}} {S₁ : Type.{u3}} {S₂ : Type.{u4}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] (f : RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) [_inst_3 : CommSemiring.{u4} S₂] (g : RingHom.{u3, u4} S₁ S₂ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))) (p : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{max (succ u4) (succ u1)} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u3} σ S₁ _inst_2) => MvPolynomial.{u1, u4} σ S₂ _inst_3) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u2) (succ u1), max (succ u3) (succ u1)} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (a : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u3} σ S₁ _inst_2) a) (MulHomClass.toFunLike.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (RingHom.instRingHomClassRingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))))) (MvPolynomial.map.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f) p)) (FunLike.coe.{max (max (succ u3) (succ u4)) (succ u1), max (succ u3) (succ u1), max (succ u4) (succ u1)} (RingHom.{max u3 u1, max u4 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.{u1, u4} σ S₂ _inst_3) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₂ _inst_3) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₂ _inst_3) (MvPolynomial.commSemiring.{u4, u1} S₂ σ _inst_3)))) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (fun (_x : MvPolynomial.{u1, u3} σ S₁ _inst_2) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u3} σ S₁ _inst_2) => MvPolynomial.{u1, u4} σ S₂ _inst_3) _x) (MulHomClass.toFunLike.{max (max u3 u4) u1, max u3 u1, max u4 u1} (RingHom.{max u3 u1, max u4 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.{u1, u4} σ S₂ _inst_3) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₂ _inst_3) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₂ _inst_3) (MvPolynomial.commSemiring.{u4, u1} S₂ σ _inst_3)))) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.{u1, u4} σ S₂ _inst_3) (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))) (NonUnitalNonAssocSemiring.toMul.{max u4 u1} (MvPolynomial.{u1, u4} σ S₂ _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₂ _inst_3) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₂ _inst_3) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₂ _inst_3) (MvPolynomial.commSemiring.{u4, u1} S₂ σ _inst_3))))) (NonUnitalRingHomClass.toMulHomClass.{max (max u3 u4) u1, max u3 u1, max u4 u1} (RingHom.{max u3 u1, max u4 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.{u1, u4} σ S₂ _inst_3) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₂ _inst_3) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₂ _inst_3) (MvPolynomial.commSemiring.{u4, u1} S₂ σ _inst_3)))) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.{u1, u4} σ S₂ _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₂ _inst_3) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₂ _inst_3) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₂ _inst_3) (MvPolynomial.commSemiring.{u4, u1} S₂ σ _inst_3)))) (RingHomClass.toNonUnitalRingHomClass.{max (max u3 u4) u1, max u3 u1, max u4 u1} (RingHom.{max u3 u1, max u4 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.{u1, u4} σ S₂ _inst_3) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₂ _inst_3) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₂ _inst_3) (MvPolynomial.commSemiring.{u4, u1} S₂ σ _inst_3)))) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.{u1, u4} σ S₂ _inst_3) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₂ _inst_3) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₂ _inst_3) (MvPolynomial.commSemiring.{u4, u1} S₂ σ _inst_3))) (RingHom.instRingHomClassRingHom.{max u3 u1, max u4 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.{u1, u4} σ S₂ _inst_3) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₂ _inst_3) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₂ _inst_3) (MvPolynomial.commSemiring.{u4, u1} S₂ σ _inst_3))))))) (MvPolynomial.map.{u3, u4, u1} S₁ S₂ σ _inst_2 _inst_3 g) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u2) (succ u1), max (succ u3) (succ u1)} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u3} σ S₁ _inst_2) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (RingHom.instRingHomClassRingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))))) (MvPolynomial.map.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f) p)) (FunLike.coe.{max (max (succ u2) (succ u4)) (succ u1), max (succ u2) (succ u1), max (succ u4) (succ u1)} (RingHom.{max u2 u1, max u4 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u4} σ S₂ _inst_3) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₂ _inst_3) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₂ _inst_3) (MvPolynomial.commSemiring.{u4, u1} S₂ σ _inst_3)))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u4} σ S₂ _inst_3) _x) (MulHomClass.toFunLike.{max (max u2 u4) u1, max u2 u1, max u4 u1} (RingHom.{max u2 u1, max u4 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u4} σ S₂ _inst_3) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₂ _inst_3) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₂ _inst_3) (MvPolynomial.commSemiring.{u4, u1} S₂ σ _inst_3)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u4} σ S₂ _inst_3) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{max u4 u1} (MvPolynomial.{u1, u4} σ S₂ _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₂ _inst_3) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₂ _inst_3) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₂ _inst_3) (MvPolynomial.commSemiring.{u4, u1} S₂ σ _inst_3))))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u4) u1, max u2 u1, max u4 u1} (RingHom.{max u2 u1, max u4 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u4} σ S₂ _inst_3) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₂ _inst_3) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₂ _inst_3) (MvPolynomial.commSemiring.{u4, u1} S₂ σ _inst_3)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u4} σ S₂ _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₂ _inst_3) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₂ _inst_3) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₂ _inst_3) (MvPolynomial.commSemiring.{u4, u1} S₂ σ _inst_3)))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u4) u1, max u2 u1, max u4 u1} (RingHom.{max u2 u1, max u4 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u4} σ S₂ _inst_3) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₂ _inst_3) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₂ _inst_3) (MvPolynomial.commSemiring.{u4, u1} S₂ σ _inst_3)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u4} σ S₂ _inst_3) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₂ _inst_3) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₂ _inst_3) (MvPolynomial.commSemiring.{u4, u1} S₂ σ _inst_3))) (RingHom.instRingHomClassRingHom.{max u2 u1, max u4 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u4} σ S₂ _inst_3) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₂ _inst_3) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₂ _inst_3) (MvPolynomial.commSemiring.{u4, u1} S₂ σ _inst_3))))))) (MvPolynomial.map.{u2, u4, u1} R S₂ σ _inst_1 _inst_3 (RingHom.comp.{u2, u3, u4} R S₁ S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3)) g f)) p)
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.map_map MvPolynomial.map_mapₓ'. -/
 theorem map_map [CommSemiring S₂] (g : S₁ →+* S₂) (p : MvPolynomial σ R) :
     map g (map f p) = map (g.comp f) p :=
-  (eval₂_comp_left (map g) (c.comp f) x p).trans <|
+  (eval₂_comp_left (map g) (C.comp f) X p).trans <|
     by
     congr
     · ext1 a
@@ -1188,6 +2116,12 @@ theorem map_map [CommSemiring S₂] (g : S₁ →+* S₂) (p : MvPolynomial σ R
       simp only [map_X, comp_app]
 #align mv_polynomial.map_map MvPolynomial.map_map
 
+/- warning: mv_polynomial.eval₂_eq_eval_map -> MvPolynomial.eval₂_eq_eval_map is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {S₁ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] (f : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (g : σ -> S₁) (p : MvPolynomial.{u3, u1} σ R _inst_1), Eq.{succ u2} S₁ (MvPolynomial.eval₂.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 f g p) (coeFn.{max (succ (max u3 u2)) (succ u2), max (succ (max u3 u2)) (succ u2)} (RingHom.{max u3 u2, u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (fun (_x : RingHom.{max u3 u2, u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) => (MvPolynomial.{u3, u2} σ S₁ _inst_2) -> S₁) (RingHom.hasCoeToFun.{max u3 u2, u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (MvPolynomial.eval.{u2, u3} S₁ σ _inst_2 g) (coeFn.{max (succ (max u3 u1)) (succ (max u3 u2)), max (succ (max u3 u1)) (succ (max u3 u2))} (RingHom.{max u3 u1, max u3 u2} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))) (fun (_x : RingHom.{max u3 u1, max u3 u2} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))) => (MvPolynomial.{u3, u1} σ R _inst_1) -> (MvPolynomial.{u3, u2} σ S₁ _inst_2)) (RingHom.hasCoeToFun.{max u3 u1, max u3 u2} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))) (MvPolynomial.map.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 f) p))
+but is expected to have type
+  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] (f : RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (g : σ -> S₁) (p : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{succ u3} S₁ (MvPolynomial.eval₂.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f g p) (FunLike.coe.{max (succ u3) (succ u1), max (succ u3) (succ u1), succ u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (fun (_x : MvPolynomial.{u1, u3} σ S₁ _inst_2) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u3} σ S₁ _inst_2) => S₁) _x) (MulHomClass.toFunLike.{max u3 u1, max u3 u1, u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u3 u1, max u3 u1, u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u3 u1, max u3 u1, u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (MvPolynomial.eval.{u3, u1} S₁ σ _inst_2 g) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u2) (succ u1), max (succ u3) (succ u1)} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u3} σ S₁ _inst_2) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (RingHom.instRingHomClassRingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))))) (MvPolynomial.map.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f) p))
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval₂_eq_eval_map MvPolynomial.eval₂_eq_eval_mapₓ'. -/
 theorem eval₂_eq_eval_map (g : σ → S₁) (p : MvPolynomial σ R) : p.eval₂ f g = eval g (map f p) :=
   by
   unfold map eval; simp only [coe_eval₂_hom]
@@ -1201,6 +2135,12 @@ theorem eval₂_eq_eval_map (g : σ → S₁) (p : MvPolynomial σ R) : p.eval
     simp only [comp_app, eval₂_X]
 #align mv_polynomial.eval₂_eq_eval_map MvPolynomial.eval₂_eq_eval_map
 
+/- warning: mv_polynomial.eval₂_comp_right -> MvPolynomial.eval₂_comp_right is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {S₁ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] {S₂ : Type.{u4}} [_inst_3 : CommSemiring.{u4} S₂] (k : RingHom.{u2, u4} S₁ S₂ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))) (f : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (g : σ -> S₁) (p : MvPolynomial.{u3, u1} σ R _inst_1), Eq.{succ u4} S₂ (coeFn.{max (succ u2) (succ u4), max (succ u2) (succ u4)} (RingHom.{u2, u4} S₁ S₂ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))) (fun (_x : RingHom.{u2, u4} S₁ S₂ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))) => S₁ -> S₂) (RingHom.hasCoeToFun.{u2, u4} S₁ S₂ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))) k (MvPolynomial.eval₂.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 f g p)) (MvPolynomial.eval₂.{u2, u4, u3} S₁ S₂ σ _inst_2 _inst_3 k (Function.comp.{succ u3, succ u2, succ u4} σ S₁ S₂ (coeFn.{max (succ u2) (succ u4), max (succ u2) (succ u4)} (RingHom.{u2, u4} S₁ S₂ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))) (fun (_x : RingHom.{u2, u4} S₁ S₂ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))) => S₁ -> S₂) (RingHom.hasCoeToFun.{u2, u4} S₁ S₂ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))) k) g) (coeFn.{max (succ (max u3 u1)) (succ (max u3 u2)), max (succ (max u3 u1)) (succ (max u3 u2))} (RingHom.{max u3 u1, max u3 u2} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))) (fun (_x : RingHom.{max u3 u1, max u3 u2} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))) => (MvPolynomial.{u3, u1} σ R _inst_1) -> (MvPolynomial.{u3, u2} σ S₁ _inst_2)) (RingHom.hasCoeToFun.{max u3 u1, max u3 u2} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))) (MvPolynomial.map.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 f) p))
+but is expected to have type
+  forall {R : Type.{u3}} {S₁ : Type.{u4}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u3} R] [_inst_2 : CommSemiring.{u4} S₁] {S₂ : Type.{u2}} [_inst_3 : CommSemiring.{u2} S₂] (k : RingHom.{u4, u2} S₁ S₂ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_3))) (f : RingHom.{u3, u4} R S₁ (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2))) (g : σ -> S₁) (p : MvPolynomial.{u1, u3} σ R _inst_1), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : S₁) => S₂) (MvPolynomial.eval₂.{u3, u4, u1} R S₁ σ _inst_1 _inst_2 f g p)) (FunLike.coe.{max (succ u4) (succ u2), succ u4, succ u2} (RingHom.{u4, u2} S₁ S₂ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_3))) S₁ (fun (_x : S₁) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : S₁) => S₂) _x) (MulHomClass.toFunLike.{max u4 u2, u4, u2} (RingHom.{u4, u2} S₁ S₂ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_3))) S₁ S₂ (NonUnitalNonAssocSemiring.toMul.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))) (NonUnitalNonAssocSemiring.toMul.{u2} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S₂ (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_3)))) (NonUnitalRingHomClass.toMulHomClass.{max u4 u2, u4, u2} (RingHom.{u4, u2} S₁ S₂ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_3))) S₁ S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S₂ (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_3))) (RingHomClass.toNonUnitalRingHomClass.{max u4 u2, u4, u2} (RingHom.{u4, u2} S₁ S₂ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_3))) S₁ S₂ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_3)) (RingHom.instRingHomClassRingHom.{u4, u2} S₁ S₂ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_3)))))) k (MvPolynomial.eval₂.{u3, u4, u1} R S₁ σ _inst_1 _inst_2 f g p)) (MvPolynomial.eval₂.{u4, u2, u1} S₁ S₂ σ _inst_2 _inst_3 k (Function.comp.{succ u1, succ u4, succ u2} σ S₁ S₂ (FunLike.coe.{max (succ u4) (succ u2), succ u4, succ u2} (RingHom.{u4, u2} S₁ S₂ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_3))) S₁ (fun (_x : S₁) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : S₁) => S₂) _x) (MulHomClass.toFunLike.{max u4 u2, u4, u2} (RingHom.{u4, u2} S₁ S₂ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_3))) S₁ S₂ (NonUnitalNonAssocSemiring.toMul.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))) (NonUnitalNonAssocSemiring.toMul.{u2} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S₂ (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_3)))) (NonUnitalRingHomClass.toMulHomClass.{max u4 u2, u4, u2} (RingHom.{u4, u2} S₁ S₂ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_3))) S₁ S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S₂ (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_3))) (RingHomClass.toNonUnitalRingHomClass.{max u4 u2, u4, u2} (RingHom.{u4, u2} S₁ S₂ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_3))) S₁ S₂ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_3)) (RingHom.instRingHomClassRingHom.{u4, u2} S₁ S₂ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_3)))))) k) g) (FunLike.coe.{max (max (succ u3) (succ u4)) (succ u1), max (succ u3) (succ u1), max (succ u4) (succ u1)} (RingHom.{max u3 u1, max u4 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.{u1, u4} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u4, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u3} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u3} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u3} σ R _inst_1) => MvPolynomial.{u1, u4} σ S₁ _inst_2) _x) (MulHomClass.toFunLike.{max (max u3 u4) u1, max u3 u1, max u4 u1} (RingHom.{max u3 u1, max u4 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.{u1, u4} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u4, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.{u1, u4} σ S₁ _inst_2) (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{max u4 u1} (MvPolynomial.{u1, u4} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u4, u1} S₁ σ _inst_2))))) (NonUnitalRingHomClass.toMulHomClass.{max (max u3 u4) u1, max u3 u1, max u4 u1} (RingHom.{max u3 u1, max u4 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.{u1, u4} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u4, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.{u1, u4} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u4, u1} S₁ σ _inst_2)))) (RingHomClass.toNonUnitalRingHomClass.{max (max u3 u4) u1, max u3 u1, max u4 u1} (RingHom.{max u3 u1, max u4 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.{u1, u4} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u4, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.{u1, u4} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u4, u1} S₁ σ _inst_2))) (RingHom.instRingHomClassRingHom.{max u3 u1, max u4 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.{u1, u4} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u4, u1} S₁ σ _inst_2))))))) (MvPolynomial.map.{u3, u4, u1} R S₁ σ _inst_1 _inst_2 f) p))
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval₂_comp_right MvPolynomial.eval₂_comp_rightₓ'. -/
 theorem eval₂_comp_right {S₂} [CommSemiring S₂] (k : S₁ →+* S₂) (f : R →+* S₁) (g : σ → S₁) (p) :
     k (eval₂ f g p) = eval₂ k (k ∘ g) (map f p) :=
   by
@@ -1213,8 +2153,14 @@ theorem eval₂_comp_right {S₂} [CommSemiring S₂] (k : S₁ →+* S₂) (f :
     rw [eval₂_mul, k.map_mul, (map f).map_mul, eval₂_mul, map_X, hp, eval₂_X, eval₂_X]
 #align mv_polynomial.eval₂_comp_right MvPolynomial.eval₂_comp_right
 
+/- warning: mv_polynomial.map_eval₂ -> MvPolynomial.map_eval₂ is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {S₁ : Type.{u2}} {S₂ : Type.{u3}} {S₃ : Type.{u4}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] (f : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (g : S₂ -> (MvPolynomial.{u4, u1} S₃ R _inst_1)) (p : MvPolynomial.{u3, u1} S₂ R _inst_1), Eq.{max (succ u4) (succ u2)} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (coeFn.{max (succ (max u4 u1)) (succ (max u4 u2)), max (succ (max u4 u1)) (succ (max u4 u2))} (RingHom.{max u4 u1, max u4 u2} (MvPolynomial.{u4, u1} S₃ R _inst_1) (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u4, u1} S₃ R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u4, u1} S₃ R _inst_1) (MvPolynomial.commSemiring.{u1, u4} R S₃ _inst_1))) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u4} S₁ S₃ _inst_2)))) (fun (_x : RingHom.{max u4 u1, max u4 u2} (MvPolynomial.{u4, u1} S₃ R _inst_1) (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u4, u1} S₃ R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u4, u1} S₃ R _inst_1) (MvPolynomial.commSemiring.{u1, u4} R S₃ _inst_1))) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u4} S₁ S₃ _inst_2)))) => (MvPolynomial.{u4, u1} S₃ R _inst_1) -> (MvPolynomial.{u4, u2} S₃ S₁ _inst_2)) (RingHom.hasCoeToFun.{max u4 u1, max u4 u2} (MvPolynomial.{u4, u1} S₃ R _inst_1) (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u4, u1} S₃ R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u4, u1} S₃ R _inst_1) (MvPolynomial.commSemiring.{u1, u4} R S₃ _inst_1))) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u4} S₁ S₃ _inst_2)))) (MvPolynomial.map.{u1, u2, u4} R S₁ S₃ _inst_1 _inst_2 f) (MvPolynomial.eval₂.{u1, max u4 u1, u3} R (MvPolynomial.{u4, u1} S₃ R _inst_1) S₂ _inst_1 (MvPolynomial.commSemiring.{u1, u4} R S₃ _inst_1) (MvPolynomial.C.{u1, u4} R S₃ _inst_1) g p)) (MvPolynomial.eval₂.{u2, max u4 u2, u3} S₁ (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) S₂ _inst_2 (MvPolynomial.commSemiring.{u2, u4} S₁ S₃ _inst_2) (MvPolynomial.C.{u2, u4} S₁ S₃ _inst_2) (Function.comp.{succ u3, max (succ u4) (succ u1), max (succ u4) (succ u2)} S₂ (MvPolynomial.{u4, u1} S₃ R _inst_1) (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (coeFn.{max (succ (max u4 u1)) (succ (max u4 u2)), max (succ (max u4 u1)) (succ (max u4 u2))} (RingHom.{max u4 u1, max u4 u2} (MvPolynomial.{u4, u1} S₃ R _inst_1) (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u4, u1} S₃ R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u4, u1} S₃ R _inst_1) (MvPolynomial.commSemiring.{u1, u4} R S₃ _inst_1))) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u4} S₁ S₃ _inst_2)))) (fun (_x : RingHom.{max u4 u1, max u4 u2} (MvPolynomial.{u4, u1} S₃ R _inst_1) (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u4, u1} S₃ R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u4, u1} S₃ R _inst_1) (MvPolynomial.commSemiring.{u1, u4} R S₃ _inst_1))) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u4} S₁ S₃ _inst_2)))) => (MvPolynomial.{u4, u1} S₃ R _inst_1) -> (MvPolynomial.{u4, u2} S₃ S₁ _inst_2)) (RingHom.hasCoeToFun.{max u4 u1, max u4 u2} (MvPolynomial.{u4, u1} S₃ R _inst_1) (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u4, u1} S₃ R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u4, u1} S₃ R _inst_1) (MvPolynomial.commSemiring.{u1, u4} R S₃ _inst_1))) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u4} S₁ S₃ _inst_2)))) (MvPolynomial.map.{u1, u2, u4} R S₁ S₃ _inst_1 _inst_2 f)) g) (coeFn.{max (succ (max u3 u1)) (succ (max u3 u2)), max (succ (max u3 u1)) (succ (max u3 u2))} (RingHom.{max u3 u1, max u3 u2} (MvPolynomial.{u3, u1} S₂ R _inst_1) (MvPolynomial.{u3, u2} S₂ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} S₂ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} S₂ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R S₂ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} S₂ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} S₂ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ S₂ _inst_2)))) (fun (_x : RingHom.{max u3 u1, max u3 u2} (MvPolynomial.{u3, u1} S₂ R _inst_1) (MvPolynomial.{u3, u2} S₂ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} S₂ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} S₂ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R S₂ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} S₂ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} S₂ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ S₂ _inst_2)))) => (MvPolynomial.{u3, u1} S₂ R _inst_1) -> (MvPolynomial.{u3, u2} S₂ S₁ _inst_2)) (RingHom.hasCoeToFun.{max u3 u1, max u3 u2} (MvPolynomial.{u3, u1} S₂ R _inst_1) (MvPolynomial.{u3, u2} S₂ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} S₂ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} S₂ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R S₂ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} S₂ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} S₂ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ S₂ _inst_2)))) (MvPolynomial.map.{u1, u2, u3} R S₁ S₂ _inst_1 _inst_2 f) p))
+but is expected to have type
+  forall {R : Type.{u1}} {S₁ : Type.{u2}} {S₂ : Type.{u3}} {S₃ : Type.{u4}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] (f : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (g : S₂ -> (MvPolynomial.{u4, u1} S₃ R _inst_1)) (p : MvPolynomial.{u3, u1} S₂ R _inst_1), Eq.{max (succ u2) (succ u4)} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u4, u1} S₃ R _inst_1) => MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (MvPolynomial.eval₂.{u1, max u1 u4, u3} R (MvPolynomial.{u4, u1} S₃ R _inst_1) S₂ _inst_1 (MvPolynomial.commSemiring.{u1, u4} R S₃ _inst_1) (MvPolynomial.C.{u1, u4} R S₃ _inst_1) g p)) (FunLike.coe.{max (max (succ u1) (succ u2)) (succ u4), max (succ u1) (succ u4), max (succ u2) (succ u4)} (RingHom.{max u1 u4, max u2 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u1 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (CommSemiring.toSemiring.{max u1 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (MvPolynomial.commSemiring.{u1, u4} R S₃ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u4} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (CommSemiring.toSemiring.{max u2 u4} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u4} S₁ S₃ _inst_2)))) (MvPolynomial.{u4, u1} S₃ R _inst_1) (fun (_x : MvPolynomial.{u4, u1} S₃ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u4, u1} S₃ R _inst_1) => MvPolynomial.{u4, u2} S₃ S₁ _inst_2) _x) (MulHomClass.toFunLike.{max (max u1 u2) u4, max u1 u4, max u2 u4} (RingHom.{max u1 u4, max u2 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u1 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (CommSemiring.toSemiring.{max u1 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (MvPolynomial.commSemiring.{u1, u4} R S₃ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u4} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (CommSemiring.toSemiring.{max u2 u4} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u4} S₁ S₃ _inst_2)))) (MvPolynomial.{u4, u1} S₃ R _inst_1) (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (NonUnitalNonAssocSemiring.toMul.{max u1 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (CommSemiring.toSemiring.{max u1 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (MvPolynomial.commSemiring.{u1, u4} R S₃ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{max u2 u4} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u4} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u4} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (CommSemiring.toSemiring.{max u2 u4} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u4} S₁ S₃ _inst_2))))) (NonUnitalRingHomClass.toMulHomClass.{max (max u1 u2) u4, max u1 u4, max u2 u4} (RingHom.{max u1 u4, max u2 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u1 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (CommSemiring.toSemiring.{max u1 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (MvPolynomial.commSemiring.{u1, u4} R S₃ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u4} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (CommSemiring.toSemiring.{max u2 u4} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u4} S₁ S₃ _inst_2)))) (MvPolynomial.{u4, u1} S₃ R _inst_1) (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (CommSemiring.toSemiring.{max u1 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (MvPolynomial.commSemiring.{u1, u4} R S₃ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u4} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u4} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (CommSemiring.toSemiring.{max u2 u4} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u4} S₁ S₃ _inst_2)))) (RingHomClass.toNonUnitalRingHomClass.{max (max u1 u2) u4, max u1 u4, max u2 u4} (RingHom.{max u1 u4, max u2 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u1 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (CommSemiring.toSemiring.{max u1 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (MvPolynomial.commSemiring.{u1, u4} R S₃ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u4} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (CommSemiring.toSemiring.{max u2 u4} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u4} S₁ S₃ _inst_2)))) (MvPolynomial.{u4, u1} S₃ R _inst_1) (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u1 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (CommSemiring.toSemiring.{max u1 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (MvPolynomial.commSemiring.{u1, u4} R S₃ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u4} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (CommSemiring.toSemiring.{max u2 u4} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u4} S₁ S₃ _inst_2))) (RingHom.instRingHomClassRingHom.{max u1 u4, max u2 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u1 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (CommSemiring.toSemiring.{max u1 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (MvPolynomial.commSemiring.{u1, u4} R S₃ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u4} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (CommSemiring.toSemiring.{max u2 u4} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u4} S₁ S₃ _inst_2))))))) (MvPolynomial.map.{u1, u2, u4} R S₁ S₃ _inst_1 _inst_2 f) (MvPolynomial.eval₂.{u1, max u1 u4, u3} R (MvPolynomial.{u4, u1} S₃ R _inst_1) S₂ _inst_1 (MvPolynomial.commSemiring.{u1, u4} R S₃ _inst_1) (MvPolynomial.C.{u1, u4} R S₃ _inst_1) g p)) (MvPolynomial.eval₂.{u2, max u4 u2, u3} S₁ (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) S₂ _inst_2 (MvPolynomial.commSemiring.{u2, u4} S₁ S₃ _inst_2) (MvPolynomial.C.{u2, u4} S₁ S₃ _inst_2) (Function.comp.{succ u3, max (succ u1) (succ u4), max (succ u4) (succ u2)} S₂ (MvPolynomial.{u4, u1} S₃ R _inst_1) (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (FunLike.coe.{max (max (succ u1) (succ u2)) (succ u4), max (succ u1) (succ u4), max (succ u2) (succ u4)} (RingHom.{max u1 u4, max u2 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u1 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (CommSemiring.toSemiring.{max u1 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (MvPolynomial.commSemiring.{u1, u4} R S₃ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u4} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (CommSemiring.toSemiring.{max u2 u4} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u4} S₁ S₃ _inst_2)))) (MvPolynomial.{u4, u1} S₃ R _inst_1) (fun (_x : MvPolynomial.{u4, u1} S₃ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u4, u1} S₃ R _inst_1) => MvPolynomial.{u4, u2} S₃ S₁ _inst_2) _x) (MulHomClass.toFunLike.{max (max u1 u2) u4, max u1 u4, max u2 u4} (RingHom.{max u1 u4, max u2 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u1 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (CommSemiring.toSemiring.{max u1 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (MvPolynomial.commSemiring.{u1, u4} R S₃ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u4} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (CommSemiring.toSemiring.{max u2 u4} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u4} S₁ S₃ _inst_2)))) (MvPolynomial.{u4, u1} S₃ R _inst_1) (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (NonUnitalNonAssocSemiring.toMul.{max u1 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (CommSemiring.toSemiring.{max u1 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (MvPolynomial.commSemiring.{u1, u4} R S₃ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{max u2 u4} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u4} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u4} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (CommSemiring.toSemiring.{max u2 u4} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u4} S₁ S₃ _inst_2))))) (NonUnitalRingHomClass.toMulHomClass.{max (max u1 u2) u4, max u1 u4, max u2 u4} (RingHom.{max u1 u4, max u2 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u1 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (CommSemiring.toSemiring.{max u1 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (MvPolynomial.commSemiring.{u1, u4} R S₃ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u4} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (CommSemiring.toSemiring.{max u2 u4} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u4} S₁ S₃ _inst_2)))) (MvPolynomial.{u4, u1} S₃ R _inst_1) (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (CommSemiring.toSemiring.{max u1 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (MvPolynomial.commSemiring.{u1, u4} R S₃ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u4} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u4} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (CommSemiring.toSemiring.{max u2 u4} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u4} S₁ S₃ _inst_2)))) (RingHomClass.toNonUnitalRingHomClass.{max (max u1 u2) u4, max u1 u4, max u2 u4} (RingHom.{max u1 u4, max u2 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u1 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (CommSemiring.toSemiring.{max u1 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (MvPolynomial.commSemiring.{u1, u4} R S₃ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u4} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (CommSemiring.toSemiring.{max u2 u4} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u4} S₁ S₃ _inst_2)))) (MvPolynomial.{u4, u1} S₃ R _inst_1) (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u1 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (CommSemiring.toSemiring.{max u1 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (MvPolynomial.commSemiring.{u1, u4} R S₃ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u4} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (CommSemiring.toSemiring.{max u2 u4} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u4} S₁ S₃ _inst_2))) (RingHom.instRingHomClassRingHom.{max u1 u4, max u2 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u1 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (CommSemiring.toSemiring.{max u1 u4} (MvPolynomial.{u4, u1} S₃ R _inst_1) (MvPolynomial.commSemiring.{u1, u4} R S₃ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u4} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (CommSemiring.toSemiring.{max u2 u4} (MvPolynomial.{u4, u2} S₃ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u4} S₁ S₃ _inst_2))))))) (MvPolynomial.map.{u1, u2, u4} R S₁ S₃ _inst_1 _inst_2 f)) g) (FunLike.coe.{max (max (succ u1) (succ u2)) (succ u3), max (succ u1) (succ u3), max (succ u2) (succ u3)} (RingHom.{max u1 u3, max u2 u3} (MvPolynomial.{u3, u1} S₂ R _inst_1) (MvPolynomial.{u3, u2} S₂ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u3, u1} S₂ R _inst_1) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u3, u1} S₂ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R S₂ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} S₂ S₁ _inst_2) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u3, u2} S₂ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ S₂ _inst_2)))) (MvPolynomial.{u3, u1} S₂ R _inst_1) (fun (_x : MvPolynomial.{u3, u1} S₂ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u3, u1} S₂ R _inst_1) => MvPolynomial.{u3, u2} S₂ S₁ _inst_2) _x) (MulHomClass.toFunLike.{max (max u1 u2) u3, max u1 u3, max u2 u3} (RingHom.{max u1 u3, max u2 u3} (MvPolynomial.{u3, u1} S₂ R _inst_1) (MvPolynomial.{u3, u2} S₂ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u3, u1} S₂ R _inst_1) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u3, u1} S₂ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R S₂ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} S₂ S₁ _inst_2) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u3, u2} S₂ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ S₂ _inst_2)))) (MvPolynomial.{u3, u1} S₂ R _inst_1) (MvPolynomial.{u3, u2} S₂ S₁ _inst_2) (NonUnitalNonAssocSemiring.toMul.{max u1 u3} (MvPolynomial.{u3, u1} S₂ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u3, u1} S₂ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u3, u1} S₂ R _inst_1) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u3, u1} S₂ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R S₂ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{max u2 u3} (MvPolynomial.{u3, u2} S₂ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} S₂ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} S₂ S₁ _inst_2) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u3, u2} S₂ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ S₂ _inst_2))))) (NonUnitalRingHomClass.toMulHomClass.{max (max u1 u2) u3, max u1 u3, max u2 u3} (RingHom.{max u1 u3, max u2 u3} (MvPolynomial.{u3, u1} S₂ R _inst_1) (MvPolynomial.{u3, u2} S₂ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u3, u1} S₂ R _inst_1) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u3, u1} S₂ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R S₂ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} S₂ S₁ _inst_2) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u3, u2} S₂ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ S₂ _inst_2)))) (MvPolynomial.{u3, u1} S₂ R _inst_1) (MvPolynomial.{u3, u2} S₂ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u3, u1} S₂ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u3, u1} S₂ R _inst_1) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u3, u1} S₂ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R S₂ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} S₂ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} S₂ S₁ _inst_2) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u3, u2} S₂ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ S₂ _inst_2)))) (RingHomClass.toNonUnitalRingHomClass.{max (max u1 u2) u3, max u1 u3, max u2 u3} (RingHom.{max u1 u3, max u2 u3} (MvPolynomial.{u3, u1} S₂ R _inst_1) (MvPolynomial.{u3, u2} S₂ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u3, u1} S₂ R _inst_1) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u3, u1} S₂ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R S₂ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} S₂ S₁ _inst_2) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u3, u2} S₂ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ S₂ _inst_2)))) (MvPolynomial.{u3, u1} S₂ R _inst_1) (MvPolynomial.{u3, u2} S₂ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u3, u1} S₂ R _inst_1) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u3, u1} S₂ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R S₂ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} S₂ S₁ _inst_2) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u3, u2} S₂ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ S₂ _inst_2))) (RingHom.instRingHomClassRingHom.{max u1 u3, max u2 u3} (MvPolynomial.{u3, u1} S₂ R _inst_1) (MvPolynomial.{u3, u2} S₂ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u3, u1} S₂ R _inst_1) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u3, u1} S₂ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R S₂ _inst_1))) (Semiring.toNonAssocSemiring.{max u2 u3} (MvPolynomial.{u3, u2} S₂ S₁ _inst_2) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u3, u2} S₂ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ S₂ _inst_2))))))) (MvPolynomial.map.{u1, u2, u3} R S₁ S₂ _inst_1 _inst_2 f) p))
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.map_eval₂ MvPolynomial.map_eval₂ₓ'. -/
 theorem map_eval₂ (f : R →+* S₁) (g : S₂ → MvPolynomial S₃ R) (p : MvPolynomial S₂ R) :
-    map f (eval₂ c g p) = eval₂ c (map f ∘ g) (map f p) :=
+    map f (eval₂ C g p) = eval₂ C (map f ∘ g) (map f p) :=
   by
   apply MvPolynomial.induction_on p
   · intro r
@@ -1225,6 +2171,12 @@ theorem map_eval₂ (f : R →+* S₁) (g : S₂ → MvPolynomial S₃ R) (p : M
     rw [eval₂_mul, (map f).map_mul, hp, (map f).map_mul, map_X, eval₂_mul, eval₂_X, eval₂_X]
 #align mv_polynomial.map_eval₂ MvPolynomial.map_eval₂
 
+/- warning: mv_polynomial.coeff_map -> MvPolynomial.coeff_map is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {S₁ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] (f : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (p : MvPolynomial.{u3, u1} σ R _inst_1) (m : Finsupp.{u3, 0} σ Nat Nat.hasZero), Eq.{succ u2} S₁ (MvPolynomial.coeff.{u2, u3} S₁ σ _inst_2 m (coeFn.{max (succ (max u3 u1)) (succ (max u3 u2)), max (succ (max u3 u1)) (succ (max u3 u2))} (RingHom.{max u3 u1, max u3 u2} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))) (fun (_x : RingHom.{max u3 u1, max u3 u2} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))) => (MvPolynomial.{u3, u1} σ R _inst_1) -> (MvPolynomial.{u3, u2} σ S₁ _inst_2)) (RingHom.hasCoeToFun.{max u3 u1, max u3 u2} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))) (MvPolynomial.map.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 f) p)) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (fun (_x : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) => R -> S₁) (RingHom.hasCoeToFun.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) f (MvPolynomial.coeff.{u1, u3} R σ _inst_1 m p))
+but is expected to have type
+  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] (f : RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (p : MvPolynomial.{u1, u2} σ R _inst_1) (m : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)), Eq.{succ u3} S₁ (MvPolynomial.coeff.{u3, u1} S₁ σ _inst_2 m (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u2) (succ u1), max (succ u3) (succ u1)} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u3} σ S₁ _inst_2) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (RingHom.instRingHomClassRingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))))) (MvPolynomial.map.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f) p)) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) _x) (MulHomClass.toFunLike.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) f (MvPolynomial.coeff.{u2, u1} R σ _inst_1 m p))
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.coeff_map MvPolynomial.coeff_mapₓ'. -/
 theorem coeff_map (p : MvPolynomial σ R) : ∀ m : σ →₀ ℕ, coeff m (map f p) = f (coeff m p) :=
   by
   apply MvPolynomial.induction_on p <;> clear p
@@ -1245,6 +2197,12 @@ theorem coeff_map (p : MvPolynomial σ R) : ∀ m : σ →₀ ℕ, coeff m (map
     rw [f.map_zero]
 #align mv_polynomial.coeff_map MvPolynomial.coeff_map
 
+/- warning: mv_polynomial.map_injective -> MvPolynomial.map_injective is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {S₁ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] (f : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))), (Function.Injective.{succ u1, succ u2} R S₁ (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (fun (_x : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) => R -> S₁) (RingHom.hasCoeToFun.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) f)) -> (Function.Injective.{max (succ u3) (succ u1), max (succ u3) (succ u2)} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u2} σ S₁ _inst_2) (coeFn.{max (succ (max u3 u1)) (succ (max u3 u2)), max (succ (max u3 u1)) (succ (max u3 u2))} (RingHom.{max u3 u1, max u3 u2} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))) (fun (_x : RingHom.{max u3 u1, max u3 u2} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))) => (MvPolynomial.{u3, u1} σ R _inst_1) -> (MvPolynomial.{u3, u2} σ S₁ _inst_2)) (RingHom.hasCoeToFun.{max u3 u1, max u3 u2} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))) (MvPolynomial.map.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 f)))
+but is expected to have type
+  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] (f : RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))), (Function.Injective.{succ u2, succ u3} R S₁ (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) _x) (MulHomClass.toFunLike.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) f)) -> (Function.Injective.{max (succ u2) (succ u1), max (succ u3) (succ u1)} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u2) (succ u1), max (succ u3) (succ u1)} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u3} σ S₁ _inst_2) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (RingHom.instRingHomClassRingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))))) (MvPolynomial.map.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f)))
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.map_injective MvPolynomial.map_injectiveₓ'. -/
 theorem map_injective (hf : Function.Injective f) :
     Function.Injective (map f : MvPolynomial σ R → MvPolynomial σ S₁) :=
   by
@@ -1254,6 +2212,12 @@ theorem map_injective (hf : Function.Injective f) :
   exact hf (h m)
 #align mv_polynomial.map_injective MvPolynomial.map_injective
 
+/- warning: mv_polynomial.map_surjective -> MvPolynomial.map_surjective is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {S₁ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] (f : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))), (Function.Surjective.{succ u1, succ u2} R S₁ (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (fun (_x : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) => R -> S₁) (RingHom.hasCoeToFun.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) f)) -> (Function.Surjective.{max (succ u3) (succ u1), max (succ u3) (succ u2)} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u2} σ S₁ _inst_2) (coeFn.{max (succ (max u3 u1)) (succ (max u3 u2)), max (succ (max u3 u1)) (succ (max u3 u2))} (RingHom.{max u3 u1, max u3 u2} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))) (fun (_x : RingHom.{max u3 u1, max u3 u2} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))) => (MvPolynomial.{u3, u1} σ R _inst_1) -> (MvPolynomial.{u3, u2} σ S₁ _inst_2)) (RingHom.hasCoeToFun.{max u3 u1, max u3 u2} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))) (MvPolynomial.map.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 f)))
+but is expected to have type
+  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] (f : RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))), (Function.Surjective.{succ u2, succ u3} R S₁ (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) _x) (MulHomClass.toFunLike.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) f)) -> (Function.Surjective.{max (succ u2) (succ u1), max (succ u3) (succ u1)} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u2) (succ u1), max (succ u3) (succ u1)} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u3} σ S₁ _inst_2) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (RingHom.instRingHomClassRingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))))) (MvPolynomial.map.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f)))
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.map_surjective MvPolynomial.map_surjectiveₓ'. -/
 theorem map_surjective (hf : Function.Surjective f) :
     Function.Surjective (map f : MvPolynomial σ R → MvPolynomial σ S₁) := fun p =>
   by
@@ -1265,47 +2229,95 @@ theorem map_surjective (hf : Function.Surjective f) :
     exact ⟨a + b, RingHom.map_add _ _ _⟩
 #align mv_polynomial.map_surjective MvPolynomial.map_surjective
 
+/- warning: mv_polynomial.map_left_inverse -> MvPolynomial.map_leftInverse is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {S₁ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] {f : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))} {g : RingHom.{u2, u1} S₁ R (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))}, (Function.LeftInverse.{succ u2, succ u1} S₁ R (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (fun (_x : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) => R -> S₁) (RingHom.hasCoeToFun.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) f) (coeFn.{max (succ u2) (succ u1), max (succ u2) (succ u1)} (RingHom.{u2, u1} S₁ R (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (fun (_x : RingHom.{u2, u1} S₁ R (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) => S₁ -> R) (RingHom.hasCoeToFun.{u2, u1} S₁ R (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) g)) -> (Function.LeftInverse.{max (succ u3) (succ u2), max (succ u3) (succ u1)} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.{u3, u1} σ R _inst_1) (coeFn.{max (succ (max u3 u1)) (succ (max u3 u2)), max (succ (max u3 u1)) (succ (max u3 u2))} (RingHom.{max u3 u1, max u3 u2} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))) (fun (_x : RingHom.{max u3 u1, max u3 u2} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))) => (MvPolynomial.{u3, u1} σ R _inst_1) -> (MvPolynomial.{u3, u2} σ S₁ _inst_2)) (RingHom.hasCoeToFun.{max u3 u1, max u3 u2} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))) (MvPolynomial.map.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 f)) (coeFn.{max (succ (max u3 u2)) (succ (max u3 u1)), max (succ (max u3 u2)) (succ (max u3 u1))} (RingHom.{max u3 u2, max u3 u1} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)))) (fun (_x : RingHom.{max u3 u2, max u3 u1} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)))) => (MvPolynomial.{u3, u2} σ S₁ _inst_2) -> (MvPolynomial.{u3, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{max u3 u2, max u3 u1} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)))) (MvPolynomial.map.{u2, u1, u3} S₁ R σ _inst_2 _inst_1 g)))
+but is expected to have type
+  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] {f : RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))} {g : RingHom.{u3, u2} S₁ R (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))}, (Function.LeftInverse.{succ u3, succ u2} S₁ R (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) _x) (MulHomClass.toFunLike.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) f) (FunLike.coe.{max (succ u2) (succ u3), succ u3, succ u2} (RingHom.{u3, u2} S₁ R (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) S₁ (fun (_x : S₁) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : S₁) => R) _x) (MulHomClass.toFunLike.{max u2 u3, u3, u2} (RingHom.{u3, u2} S₁ R (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) S₁ R (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u3, u3, u2} (RingHom.{u3, u2} S₁ R (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) S₁ R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u3, u3, u2} (RingHom.{u3, u2} S₁ R (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) S₁ R (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (RingHom.instRingHomClassRingHom.{u3, u2} S₁ R (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))))) g)) -> (Function.LeftInverse.{max (succ u3) (succ u1), max (succ u2) (succ u1)} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.{u1, u2} σ R _inst_1) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u2) (succ u1), max (succ u3) (succ u1)} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u3} σ S₁ _inst_2) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (RingHom.instRingHomClassRingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))))) (MvPolynomial.map.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f)) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u3) (succ u1), max (succ u2) (succ u1)} (RingHom.{max u3 u1, max u2 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (fun (_x : MvPolynomial.{u1, u3} σ S₁ _inst_2) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u3} σ S₁ _inst_2) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, max u3 u1, max u2 u1} (RingHom.{max u3 u1, max u2 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, max u3 u1, max u2 u1} (RingHom.{max u3 u1, max u2 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, max u3 u1, max u2 u1} (RingHom.{max u3 u1, max u2 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{max u3 u1, max u2 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.map.{u3, u2, u1} S₁ R σ _inst_2 _inst_1 g)))
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.map_left_inverse MvPolynomial.map_leftInverseₓ'. -/
 /-- If `f` is a left-inverse of `g` then `map f` is a left-inverse of `map g`. -/
 theorem map_leftInverse {f : R →+* S₁} {g : S₁ →+* R} (hf : Function.LeftInverse f g) :
     Function.LeftInverse (map f : MvPolynomial σ R → MvPolynomial σ S₁) (map g) := fun x => by
   rw [map_map, (RingHom.ext hf : f.comp g = RingHom.id _), map_id]
 #align mv_polynomial.map_left_inverse MvPolynomial.map_leftInverse
 
+/- warning: mv_polynomial.map_right_inverse -> MvPolynomial.map_rightInverse is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {S₁ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] {f : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))} {g : RingHom.{u2, u1} S₁ R (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))}, (Function.RightInverse.{succ u2, succ u1} S₁ R (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (fun (_x : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) => R -> S₁) (RingHom.hasCoeToFun.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) f) (coeFn.{max (succ u2) (succ u1), max (succ u2) (succ u1)} (RingHom.{u2, u1} S₁ R (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (fun (_x : RingHom.{u2, u1} S₁ R (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) => S₁ -> R) (RingHom.hasCoeToFun.{u2, u1} S₁ R (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) g)) -> (Function.RightInverse.{max (succ u3) (succ u2), max (succ u3) (succ u1)} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.{u3, u1} σ R _inst_1) (coeFn.{max (succ (max u3 u1)) (succ (max u3 u2)), max (succ (max u3 u1)) (succ (max u3 u2))} (RingHom.{max u3 u1, max u3 u2} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))) (fun (_x : RingHom.{max u3 u1, max u3 u2} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))) => (MvPolynomial.{u3, u1} σ R _inst_1) -> (MvPolynomial.{u3, u2} σ S₁ _inst_2)) (RingHom.hasCoeToFun.{max u3 u1, max u3 u2} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))) (MvPolynomial.map.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 f)) (coeFn.{max (succ (max u3 u2)) (succ (max u3 u1)), max (succ (max u3 u2)) (succ (max u3 u1))} (RingHom.{max u3 u2, max u3 u1} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)))) (fun (_x : RingHom.{max u3 u2, max u3 u1} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)))) => (MvPolynomial.{u3, u2} σ S₁ _inst_2) -> (MvPolynomial.{u3, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{max u3 u2, max u3 u1} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)))) (MvPolynomial.map.{u2, u1, u3} S₁ R σ _inst_2 _inst_1 g)))
+but is expected to have type
+  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] {f : RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))} {g : RingHom.{u3, u2} S₁ R (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))}, (Function.RightInverse.{succ u3, succ u2} S₁ R (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) _x) (MulHomClass.toFunLike.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) f) (FunLike.coe.{max (succ u2) (succ u3), succ u3, succ u2} (RingHom.{u3, u2} S₁ R (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) S₁ (fun (_x : S₁) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : S₁) => R) _x) (MulHomClass.toFunLike.{max u2 u3, u3, u2} (RingHom.{u3, u2} S₁ R (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) S₁ R (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u3, u3, u2} (RingHom.{u3, u2} S₁ R (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) S₁ R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u3, u3, u2} (RingHom.{u3, u2} S₁ R (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) S₁ R (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (RingHom.instRingHomClassRingHom.{u3, u2} S₁ R (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))))) g)) -> (Function.RightInverse.{max (succ u3) (succ u1), max (succ u2) (succ u1)} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.{u1, u2} σ R _inst_1) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u2) (succ u1), max (succ u3) (succ u1)} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u3} σ S₁ _inst_2) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (RingHom.instRingHomClassRingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))))) (MvPolynomial.map.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f)) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u3) (succ u1), max (succ u2) (succ u1)} (RingHom.{max u3 u1, max u2 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (fun (_x : MvPolynomial.{u1, u3} σ S₁ _inst_2) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u3} σ S₁ _inst_2) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, max u3 u1, max u2 u1} (RingHom.{max u3 u1, max u2 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, max u3 u1, max u2 u1} (RingHom.{max u3 u1, max u2 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, max u3 u1, max u2 u1} (RingHom.{max u3 u1, max u2 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{max u3 u1, max u2 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.map.{u3, u2, u1} S₁ R σ _inst_2 _inst_1 g)))
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.map_right_inverse MvPolynomial.map_rightInverseₓ'. -/
 /-- If `f` is a right-inverse of `g` then `map f` is a right-inverse of `map g`. -/
 theorem map_rightInverse {f : R →+* S₁} {g : S₁ →+* R} (hf : Function.RightInverse f g) :
     Function.RightInverse (map f : MvPolynomial σ R → MvPolynomial σ S₁) (map g) :=
   (map_leftInverse hf.LeftInverse).RightInverse
 #align mv_polynomial.map_right_inverse MvPolynomial.map_rightInverse
 
+/- warning: mv_polynomial.eval_map -> MvPolynomial.eval_map is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {S₁ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] (f : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (g : σ -> S₁) (p : MvPolynomial.{u3, u1} σ R _inst_1), Eq.{succ u2} S₁ (coeFn.{max (succ (max u3 u2)) (succ u2), max (succ (max u3 u2)) (succ u2)} (RingHom.{max u3 u2, u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (fun (_x : RingHom.{max u3 u2, u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) => (MvPolynomial.{u3, u2} σ S₁ _inst_2) -> S₁) (RingHom.hasCoeToFun.{max u3 u2, u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (MvPolynomial.eval.{u2, u3} S₁ σ _inst_2 g) (coeFn.{max (succ (max u3 u1)) (succ (max u3 u2)), max (succ (max u3 u1)) (succ (max u3 u2))} (RingHom.{max u3 u1, max u3 u2} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))) (fun (_x : RingHom.{max u3 u1, max u3 u2} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))) => (MvPolynomial.{u3, u1} σ R _inst_1) -> (MvPolynomial.{u3, u2} σ S₁ _inst_2)) (RingHom.hasCoeToFun.{max u3 u1, max u3 u2} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))) (MvPolynomial.map.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 f) p)) (MvPolynomial.eval₂.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 f g p)
+but is expected to have type
+  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] (f : RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (g : σ -> S₁) (p : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u3} σ S₁ _inst_2) => S₁) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u2) (succ u1), max (succ u3) (succ u1)} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (a : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u3} σ S₁ _inst_2) a) (MulHomClass.toFunLike.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (RingHom.instRingHomClassRingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))))) (MvPolynomial.map.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f) p)) (FunLike.coe.{max (succ u3) (succ u1), max (succ u3) (succ u1), succ u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (fun (_x : MvPolynomial.{u1, u3} σ S₁ _inst_2) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u3} σ S₁ _inst_2) => S₁) _x) (MulHomClass.toFunLike.{max u3 u1, max u3 u1, u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u3 u1, max u3 u1, u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u3 u1, max u3 u1, u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (MvPolynomial.eval.{u3, u1} S₁ σ _inst_2 g) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u2) (succ u1), max (succ u3) (succ u1)} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u3} σ S₁ _inst_2) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (RingHom.instRingHomClassRingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))))) (MvPolynomial.map.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f) p)) (MvPolynomial.eval₂.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f g p)
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval_map MvPolynomial.eval_mapₓ'. -/
 @[simp]
 theorem eval_map (f : R →+* S₁) (g : σ → S₁) (p : MvPolynomial σ R) :
     eval g (map f p) = eval₂ f g p := by
   apply MvPolynomial.induction_on p <;> · simp (config := { contextual := true })
 #align mv_polynomial.eval_map MvPolynomial.eval_map
 
+/- warning: mv_polynomial.eval₂_map -> MvPolynomial.eval₂_map is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {S₁ : Type.{u2}} {S₂ : Type.{u3}} {σ : Type.{u4}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] [_inst_3 : CommSemiring.{u3} S₂] (f : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (g : σ -> S₂) (φ : RingHom.{u2, u3} S₁ S₂ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_3))) (p : MvPolynomial.{u4, u1} σ R _inst_1), Eq.{succ u3} S₂ (MvPolynomial.eval₂.{u2, u3, u4} S₁ S₂ σ _inst_2 _inst_3 φ g (coeFn.{max (succ (max u4 u1)) (succ (max u4 u2)), max (succ (max u4 u1)) (succ (max u4 u2))} (RingHom.{max u4 u1, max u4 u2} (MvPolynomial.{u4, u1} σ R _inst_1) (MvPolynomial.{u4, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u4, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u4, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u4} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u4, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u4, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u4} S₁ σ _inst_2)))) (fun (_x : RingHom.{max u4 u1, max u4 u2} (MvPolynomial.{u4, u1} σ R _inst_1) (MvPolynomial.{u4, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u4, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u4, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u4} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u4, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u4, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u4} S₁ σ _inst_2)))) => (MvPolynomial.{u4, u1} σ R _inst_1) -> (MvPolynomial.{u4, u2} σ S₁ _inst_2)) (RingHom.hasCoeToFun.{max u4 u1, max u4 u2} (MvPolynomial.{u4, u1} σ R _inst_1) (MvPolynomial.{u4, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u4, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u4, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u4} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u4, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u4, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u4} S₁ σ _inst_2)))) (MvPolynomial.map.{u1, u2, u4} R S₁ σ _inst_1 _inst_2 f) p)) (MvPolynomial.eval₂.{u1, u3, u4} R S₂ σ _inst_1 _inst_3 (RingHom.comp.{u1, u2, u3} R S₁ S₂ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_3)) φ f) g p)
+but is expected to have type
+  forall {R : Type.{u2}} {S₁ : Type.{u3}} {S₂ : Type.{u4}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] [_inst_3 : CommSemiring.{u4} S₂] (f : RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (g : σ -> S₂) (φ : RingHom.{u3, u4} S₁ S₂ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))) (p : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{succ u4} S₂ (MvPolynomial.eval₂.{u3, u4, u1} S₁ S₂ σ _inst_2 _inst_3 φ g (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u2) (succ u1), max (succ u3) (succ u1)} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u3} σ S₁ _inst_2) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (RingHom.instRingHomClassRingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))))) (MvPolynomial.map.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f) p)) (MvPolynomial.eval₂.{u2, u4, u1} R S₂ σ _inst_1 _inst_3 (RingHom.comp.{u2, u3, u4} R S₁ S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3)) φ f) g p)
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval₂_map MvPolynomial.eval₂_mapₓ'. -/
 @[simp]
 theorem eval₂_map [CommSemiring S₂] (f : R →+* S₁) (g : σ → S₂) (φ : S₁ →+* S₂)
     (p : MvPolynomial σ R) : eval₂ φ g (map f p) = eval₂ (φ.comp f) g p := by
   rw [← eval_map, ← eval_map, map_map]
 #align mv_polynomial.eval₂_map MvPolynomial.eval₂_map
 
+/- warning: mv_polynomial.eval₂_hom_map_hom -> MvPolynomial.eval₂Hom_map_hom is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {S₁ : Type.{u2}} {S₂ : Type.{u3}} {σ : Type.{u4}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] [_inst_3 : CommSemiring.{u3} S₂] (f : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (g : σ -> S₂) (φ : RingHom.{u2, u3} S₁ S₂ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_3))) (p : MvPolynomial.{u4, u1} σ R _inst_1), Eq.{succ u3} S₂ (coeFn.{max (succ (max u4 u2)) (succ u3), max (succ (max u4 u2)) (succ u3)} (RingHom.{max u4 u2, u3} (MvPolynomial.{u4, u2} σ S₁ _inst_2) S₂ (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u4, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u4, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u4} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_3))) (fun (_x : RingHom.{max u4 u2, u3} (MvPolynomial.{u4, u2} σ S₁ _inst_2) S₂ (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u4, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u4, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u4} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_3))) => (MvPolynomial.{u4, u2} σ S₁ _inst_2) -> S₂) (RingHom.hasCoeToFun.{max u4 u2, u3} (MvPolynomial.{u4, u2} σ S₁ _inst_2) S₂ (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u4, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u4, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u4} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_3))) (MvPolynomial.eval₂Hom.{u2, u3, u4} S₁ S₂ σ _inst_2 _inst_3 φ g) (coeFn.{max (succ (max u4 u1)) (succ (max u4 u2)), max (succ (max u4 u1)) (succ (max u4 u2))} (RingHom.{max u4 u1, max u4 u2} (MvPolynomial.{u4, u1} σ R _inst_1) (MvPolynomial.{u4, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u4, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u4, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u4} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u4, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u4, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u4} S₁ σ _inst_2)))) (fun (_x : RingHom.{max u4 u1, max u4 u2} (MvPolynomial.{u4, u1} σ R _inst_1) (MvPolynomial.{u4, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u4, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u4, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u4} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u4, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u4, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u4} S₁ σ _inst_2)))) => (MvPolynomial.{u4, u1} σ R _inst_1) -> (MvPolynomial.{u4, u2} σ S₁ _inst_2)) (RingHom.hasCoeToFun.{max u4 u1, max u4 u2} (MvPolynomial.{u4, u1} σ R _inst_1) (MvPolynomial.{u4, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u4, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u4, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u4} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u4, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u4, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u4} S₁ σ _inst_2)))) (MvPolynomial.map.{u1, u2, u4} R S₁ σ _inst_1 _inst_2 f) p)) (coeFn.{max (succ (max u4 u1)) (succ u3), max (succ (max u4 u1)) (succ u3)} (RingHom.{max u4 u1, u3} (MvPolynomial.{u4, u1} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u4, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u4, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u4} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_3))) (fun (_x : RingHom.{max u4 u1, u3} (MvPolynomial.{u4, u1} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u4, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u4, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u4} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_3))) => (MvPolynomial.{u4, u1} σ R _inst_1) -> S₂) (RingHom.hasCoeToFun.{max u4 u1, u3} (MvPolynomial.{u4, u1} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u4, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u4, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u4} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_3))) (MvPolynomial.eval₂Hom.{u1, u3, u4} R S₂ σ _inst_1 _inst_3 (RingHom.comp.{u1, u2, u3} R S₁ S₂ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_3)) φ f) g) p)
+but is expected to have type
+  forall {R : Type.{u2}} {S₁ : Type.{u3}} {S₂ : Type.{u4}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] [_inst_3 : CommSemiring.{u4} S₂] (f : RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (g : σ -> S₂) (φ : RingHom.{u3, u4} S₁ S₂ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))) (p : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u3} σ S₁ _inst_2) => S₂) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u2) (succ u1), max (succ u3) (succ u1)} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (a : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u3} σ S₁ _inst_2) a) (MulHomClass.toFunLike.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (RingHom.instRingHomClassRingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))))) (MvPolynomial.map.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f) p)) (FunLike.coe.{max (max (succ u3) (succ u4)) (succ u1), max (succ u3) (succ u1), succ u4} (RingHom.{max u3 u1, u4} (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₂ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (fun (_x : MvPolynomial.{u1, u3} σ S₁ _inst_2) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u3} σ S₁ _inst_2) => S₂) _x) (MulHomClass.toFunLike.{max (max u3 u4) u1, max u3 u1, u4} (RingHom.{max u3 u1, u4} (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₂ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))) (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₂ (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))) (NonUnitalNonAssocSemiring.toMul.{u4} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₂ (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3)))) (NonUnitalRingHomClass.toMulHomClass.{max (max u3 u4) u1, max u3 u1, u4} (RingHom.{max u3 u1, u4} (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₂ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))) (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₂ (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))) (RingHomClass.toNonUnitalRingHomClass.{max (max u3 u4) u1, max u3 u1, u4} (RingHom.{max u3 u1, u4} (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₂ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))) (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₂ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3)) (RingHom.instRingHomClassRingHom.{max u3 u1, u4} (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₂ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3)))))) (MvPolynomial.eval₂Hom.{u3, u4, u1} S₁ S₂ σ _inst_2 _inst_3 φ g) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u2) (succ u1), max (succ u3) (succ u1)} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u3} σ S₁ _inst_2) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (RingHom.instRingHomClassRingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))))) (MvPolynomial.map.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f) p)) (FunLike.coe.{max (max (succ u2) (succ u4)) (succ u1), max (succ u2) (succ u1), succ u4} (RingHom.{max u2 u1, u4} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => S₂) _x) (MulHomClass.toFunLike.{max (max u2 u4) u1, max u2 u1, u4} (RingHom.{max u2 u1, u4} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))) (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u4} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₂ (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3)))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u4) u1, max u2 u1, u4} (RingHom.{max u2 u1, u4} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))) (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₂ (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u4) u1, max u2 u1, u4} (RingHom.{max u2 u1, u4} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3))) (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3)) (RingHom.instRingHomClassRingHom.{max u2 u1, u4} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3)))))) (MvPolynomial.eval₂Hom.{u2, u4, u1} R S₂ σ _inst_1 _inst_3 (RingHom.comp.{u2, u3, u4} R S₁ S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3)) φ f) g) p)
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval₂_hom_map_hom MvPolynomial.eval₂Hom_map_homₓ'. -/
 @[simp]
 theorem eval₂Hom_map_hom [CommSemiring S₂] (f : R →+* S₁) (g : σ → S₂) (φ : S₁ →+* S₂)
     (p : MvPolynomial σ R) : eval₂Hom φ g (map f p) = eval₂Hom (φ.comp f) g p :=
   eval₂_map f g φ p
 #align mv_polynomial.eval₂_hom_map_hom MvPolynomial.eval₂Hom_map_hom
 
+/- warning: mv_polynomial.constant_coeff_map -> MvPolynomial.constantCoeff_map is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {S₁ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] (f : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (φ : MvPolynomial.{u3, u1} σ R _inst_1), Eq.{succ u2} S₁ (coeFn.{max (succ (max u3 u2)) (succ u2), max (succ (max u3 u2)) (succ u2)} (RingHom.{max u3 u2, u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (fun (_x : RingHom.{max u3 u2, u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) => (MvPolynomial.{u3, u2} σ S₁ _inst_2) -> S₁) (RingHom.hasCoeToFun.{max u3 u2, u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (MvPolynomial.constantCoeff.{u2, u3} S₁ σ _inst_2) (coeFn.{max (succ (max u3 u1)) (succ (max u3 u2)), max (succ (max u3 u1)) (succ (max u3 u2))} (RingHom.{max u3 u1, max u3 u2} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))) (fun (_x : RingHom.{max u3 u1, max u3 u2} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))) => (MvPolynomial.{u3, u1} σ R _inst_1) -> (MvPolynomial.{u3, u2} σ S₁ _inst_2)) (RingHom.hasCoeToFun.{max u3 u1, max u3 u2} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))) (MvPolynomial.map.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 f) φ)) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (fun (_x : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) => R -> S₁) (RingHom.hasCoeToFun.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) f (coeFn.{max (succ (max u3 u1)) (succ u1), max (succ (max u3 u1)) (succ u1)} (RingHom.{max u3 u1, u1} (MvPolynomial.{u3, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (fun (_x : RingHom.{max u3 u1, u1} (MvPolynomial.{u3, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) => (MvPolynomial.{u3, u1} σ R _inst_1) -> R) (RingHom.hasCoeToFun.{max u3 u1, u1} (MvPolynomial.{u3, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.constantCoeff.{u1, u3} R σ _inst_1) φ))
+but is expected to have type
+  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] (f : RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (φ : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u3} σ S₁ _inst_2) => S₁) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u2) (succ u1), max (succ u3) (succ u1)} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (a : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u3} σ S₁ _inst_2) a) (MulHomClass.toFunLike.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (RingHom.instRingHomClassRingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))))) (MvPolynomial.map.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f) φ)) (FunLike.coe.{max (succ u1) (succ u3), max (succ u1) (succ u3), succ u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (fun (_x : MvPolynomial.{u1, u3} σ S₁ _inst_2) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u3} σ S₁ _inst_2) => S₁) _x) (MulHomClass.toFunLike.{max u1 u3, max u1 u3, u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (NonUnitalNonAssocSemiring.toMul.{max u1 u3} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u3, max u1 u3, u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u3, max u1 u3, u3} (RingHom.{max u3 u1, u3} (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{max u1 u3, u3} (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (MvPolynomial.constantCoeff.{u3, u1} S₁ σ _inst_2) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u2) (succ u1), max (succ u3) (succ u1)} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u3} σ S₁ _inst_2) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (RingHom.instRingHomClassRingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))))) (MvPolynomial.map.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f) φ)) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) _x) (MulHomClass.toFunLike.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) f (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), succ u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) _x) (MulHomClass.toFunLike.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (RingHom.instRingHomClassRingHom.{max u1 u2, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))))) (MvPolynomial.constantCoeff.{u2, u1} R σ _inst_1) φ))
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.constant_coeff_map MvPolynomial.constantCoeff_mapₓ'. -/
 @[simp]
 theorem constantCoeff_map (f : R →+* S₁) (φ : MvPolynomial σ R) :
     constantCoeff (MvPolynomial.map f φ) = f (constantCoeff φ) :=
   coeff_map f φ 0
 #align mv_polynomial.constant_coeff_map MvPolynomial.constantCoeff_map
 
+/- warning: mv_polynomial.constant_coeff_comp_map -> MvPolynomial.constantCoeff_comp_map is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {S₁ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] (f : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))), Eq.{max (succ (max u3 u1)) (succ u2)} (RingHom.{max u3 u1, u2} (MvPolynomial.{u3, u1} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (RingHom.comp.{max u3 u1, max u3 u2, u2} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u2} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (MvPolynomial.constantCoeff.{u2, u3} S₁ σ _inst_2) (MvPolynomial.map.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 f)) (RingHom.comp.{max u3 u1, u1, u2} (MvPolynomial.{u3, u1} σ R _inst_1) R S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) f (MvPolynomial.constantCoeff.{u1, u3} R σ _inst_1))
+but is expected to have type
+  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] (f : RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))), Eq.{max (max (succ u2) (succ u3)) (succ u1)} (RingHom.{max u1 u2, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHom.comp.{max u1 u2, max u3 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (MvPolynomial.constantCoeff.{u3, u1} S₁ σ _inst_2) (MvPolynomial.map.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f)) (RingHom.comp.{max u1 u2, u2, u3} (MvPolynomial.{u1, u2} σ R _inst_1) R S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) f (MvPolynomial.constantCoeff.{u2, u1} R σ _inst_1))
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.constant_coeff_comp_map MvPolynomial.constantCoeff_comp_mapₓ'. -/
 theorem constantCoeff_comp_map (f : R →+* S₁) :
     (constantCoeff : MvPolynomial σ S₁ →+* S₁).comp (MvPolynomial.map f) = f.comp constantCoeff :=
   by ext <;> simp
 #align mv_polynomial.constant_coeff_comp_map MvPolynomial.constantCoeff_comp_map
 
+/- warning: mv_polynomial.support_map_subset -> MvPolynomial.support_map_subset is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {S₁ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] (f : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (p : MvPolynomial.{u3, u1} σ R _inst_1), HasSubset.Subset.{u3} (Finset.{u3} (Finsupp.{u3, 0} σ Nat Nat.hasZero)) (Finset.hasSubset.{u3} (Finsupp.{u3, 0} σ Nat Nat.hasZero)) (MvPolynomial.support.{u2, u3} S₁ σ _inst_2 (coeFn.{max (succ (max u3 u1)) (succ (max u3 u2)), max (succ (max u3 u1)) (succ (max u3 u2))} (RingHom.{max u3 u1, max u3 u2} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))) (fun (_x : RingHom.{max u3 u1, max u3 u2} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))) => (MvPolynomial.{u3, u1} σ R _inst_1) -> (MvPolynomial.{u3, u2} σ S₁ _inst_2)) (RingHom.hasCoeToFun.{max u3 u1, max u3 u2} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))) (MvPolynomial.map.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 f) p)) (MvPolynomial.support.{u1, u3} R σ _inst_1 p)
+but is expected to have type
+  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] (f : RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (p : MvPolynomial.{u1, u2} σ R _inst_1), HasSubset.Subset.{u1} (Finset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (Finset.instHasSubsetFinset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (MvPolynomial.support.{u3, u1} S₁ σ _inst_2 (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u2) (succ u1), max (succ u3) (succ u1)} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u3} σ S₁ _inst_2) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (RingHom.instRingHomClassRingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))))) (MvPolynomial.map.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f) p)) (MvPolynomial.support.{u2, u1} R σ _inst_1 p)
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.support_map_subset MvPolynomial.support_map_subsetₓ'. -/
 theorem support_map_subset (p : MvPolynomial σ R) : (map f p).support ⊆ p.support :=
   by
   intro x
@@ -1318,6 +2330,12 @@ theorem support_map_subset (p : MvPolynomial σ R) : (map f p).support ⊆ p.sup
   exact RingHom.map_zero f
 #align mv_polynomial.support_map_subset MvPolynomial.support_map_subset
 
+/- warning: mv_polynomial.support_map_of_injective -> MvPolynomial.support_map_of_injective is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {S₁ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] (p : MvPolynomial.{u3, u1} σ R _inst_1) {f : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))}, (Function.Injective.{succ u1, succ u2} R S₁ (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (fun (_x : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) => R -> S₁) (RingHom.hasCoeToFun.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) f)) -> (Eq.{succ u3} (Finset.{u3} (Finsupp.{u3, 0} σ Nat Nat.hasZero)) (MvPolynomial.support.{u2, u3} S₁ σ _inst_2 (coeFn.{max (succ (max u3 u1)) (succ (max u3 u2)), max (succ (max u3 u1)) (succ (max u3 u2))} (RingHom.{max u3 u1, max u3 u2} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))) (fun (_x : RingHom.{max u3 u1, max u3 u2} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))) => (MvPolynomial.{u3, u1} σ R _inst_1) -> (MvPolynomial.{u3, u2} σ S₁ _inst_2)) (RingHom.hasCoeToFun.{max u3 u1, max u3 u2} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))) (MvPolynomial.map.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 f) p)) (MvPolynomial.support.{u1, u3} R σ _inst_1 p))
+but is expected to have type
+  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] (p : MvPolynomial.{u1, u2} σ R _inst_1) {f : RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))}, (Function.Injective.{succ u2, succ u3} R S₁ (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) _x) (MulHomClass.toFunLike.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) f)) -> (Eq.{succ u1} (Finset.{u1} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero))) (MvPolynomial.support.{u3, u1} S₁ σ _inst_2 (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u2) (succ u1), max (succ u3) (succ u1)} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u3} σ S₁ _inst_2) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (RingHom.instRingHomClassRingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))))) (MvPolynomial.map.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f) p)) (MvPolynomial.support.{u2, u1} R σ _inst_1 p))
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.support_map_of_injective MvPolynomial.support_map_of_injectiveₓ'. -/
 theorem support_map_of_injective (p : MvPolynomial σ R) {f : R →+* S₁} (hf : Injective f) :
     (map f p).support = p.support :=
   by
@@ -1332,13 +2350,25 @@ theorem support_map_of_injective (p : MvPolynomial σ R) {f : R →+* S₁} (hf
   exact hf hx
 #align mv_polynomial.support_map_of_injective MvPolynomial.support_map_of_injective
 
-theorem c_dvd_iff_map_hom_eq_zero (q : R →+* S₁) (r : R) (hr : ∀ r' : R, q r' = 0 ↔ r ∣ r')
-    (φ : MvPolynomial σ R) : c r ∣ φ ↔ map q φ = 0 :=
+/- warning: mv_polynomial.C_dvd_iff_map_hom_eq_zero -> MvPolynomial.C_dvd_iff_map_hom_eq_zero is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {S₁ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] (q : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (r : R), (forall (r' : R), Iff (Eq.{succ u2} S₁ (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (fun (_x : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) => R -> S₁) (RingHom.hasCoeToFun.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) q r') (OfNat.ofNat.{u2} S₁ 0 (OfNat.mk.{u2} S₁ 0 (Zero.zero.{u2} S₁ (MulZeroClass.toHasZero.{u2} S₁ (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S₁ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))))))))) (Dvd.Dvd.{u1} R (semigroupDvd.{u1} R (SemigroupWithZero.toSemigroup.{u1} R (NonUnitalSemiring.toSemigroupWithZero.{u1} R (NonUnitalCommSemiring.toNonUnitalSemiring.{u1} R (CommSemiring.toNonUnitalCommSemiring.{u1} R _inst_1))))) r r')) -> (forall (φ : MvPolynomial.{u3, u1} σ R _inst_1), Iff (Dvd.Dvd.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (semigroupDvd.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (SemigroupWithZero.toSemigroup.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonUnitalSemiring.toSemigroupWithZero.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonUnitalCommSemiring.toNonUnitalSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toNonUnitalCommSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)))))) (coeFn.{max (succ u1) (succ (max u3 u1)), max (succ u1) (succ (max u3 u1))} (RingHom.{u1, max u3 u1} R (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)))) (fun (_x : RingHom.{u1, max u3 u1} R (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)))) => R -> (MvPolynomial.{u3, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{u1, max u3 u1} R (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)))) (MvPolynomial.C.{u1, u3} R σ _inst_1) r) φ) (Eq.{max (succ u3) (succ u2)} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (coeFn.{max (succ (max u3 u1)) (succ (max u3 u2)), max (succ (max u3 u1)) (succ (max u3 u2))} (RingHom.{max u3 u1, max u3 u2} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))) (fun (_x : RingHom.{max u3 u1, max u3 u2} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))) => (MvPolynomial.{u3, u1} σ R _inst_1) -> (MvPolynomial.{u3, u2} σ S₁ _inst_2)) (RingHom.hasCoeToFun.{max u3 u1, max u3 u2} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))) (MvPolynomial.map.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 q) φ) (OfNat.ofNat.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) 0 (OfNat.mk.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) 0 (Zero.zero.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MulZeroClass.toHasZero.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (NonUnitalNonAssocSemiring.toMulZeroClass.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))))))))))
+but is expected to have type
+  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] (q : RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (r : R), (forall (r' : R), Iff (Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r') (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) _x) (MulHomClass.toFunLike.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) q r') (OfNat.ofNat.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r') 0 (Zero.toOfNat0.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r') (CommMonoidWithZero.toZero.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r') (CommSemiring.toCommMonoidWithZero.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r') _inst_2))))) (Dvd.dvd.{u2} R (semigroupDvd.{u2} R (SemigroupWithZero.toSemigroup.{u2} R (NonUnitalSemiring.toSemigroupWithZero.{u2} R (NonUnitalCommSemiring.toNonUnitalSemiring.{u2} R (CommSemiring.toNonUnitalCommSemiring.{u2} R _inst_1))))) r r')) -> (forall (φ : MvPolynomial.{u1, u2} σ R _inst_1), Iff (Dvd.dvd.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) r) (semigroupDvd.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) r) (SemigroupWithZero.toSemigroup.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) r) (NonUnitalSemiring.toSemigroupWithZero.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) r) (NonUnitalCommSemiring.toNonUnitalSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) r) (CommSemiring.toNonUnitalCommSemiring.{max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) r) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) r) φ) (Eq.{max (succ u3) (succ u1)} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u3} σ S₁ _inst_2) φ) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u2) (succ u1), max (succ u3) (succ u1)} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u3} σ S₁ _inst_2) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (RingHom.instRingHomClassRingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))))) (MvPolynomial.map.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 q) φ) (OfNat.ofNat.{max u3 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u3} σ S₁ _inst_2) φ) 0 (Zero.toOfNat0.{max u3 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u3} σ S₁ _inst_2) φ) (CommMonoidWithZero.toZero.{max u3 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u3} σ S₁ _inst_2) φ) (CommSemiring.toCommMonoidWithZero.{max u3 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u3} σ S₁ _inst_2) φ) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))))))
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.C_dvd_iff_map_hom_eq_zero MvPolynomial.C_dvd_iff_map_hom_eq_zeroₓ'. -/
+theorem C_dvd_iff_map_hom_eq_zero (q : R →+* S₁) (r : R) (hr : ∀ r' : R, q r' = 0 ↔ r ∣ r')
+    (φ : MvPolynomial σ R) : C r ∣ φ ↔ map q φ = 0 :=
   by
   rw [C_dvd_iff_dvd_coeff, MvPolynomial.ext_iff]
   simp only [coeff_map, coeff_zero, hr]
-#align mv_polynomial.C_dvd_iff_map_hom_eq_zero MvPolynomial.c_dvd_iff_map_hom_eq_zero
-
+#align mv_polynomial.C_dvd_iff_map_hom_eq_zero MvPolynomial.C_dvd_iff_map_hom_eq_zero
+
+/- warning: mv_polynomial.map_map_range_eq_iff -> MvPolynomial.map_mapRange_eq_iff is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {S₁ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] (f : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (g : S₁ -> R) (hg : Eq.{succ u1} R (g (OfNat.ofNat.{u2} S₁ 0 (OfNat.mk.{u2} S₁ 0 (Zero.zero.{u2} S₁ (MulZeroClass.toHasZero.{u2} S₁ (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S₁ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))))))) (φ : MvPolynomial.{u3, u2} σ S₁ _inst_2), Iff (Eq.{max (succ u3) (succ u2)} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (coeFn.{max (succ (max u3 u1)) (succ (max u3 u2)), max (succ (max u3 u1)) (succ (max u3 u2))} (RingHom.{max u3 u1, max u3 u2} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))) (fun (_x : RingHom.{max u3 u1, max u3 u2} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))) => (MvPolynomial.{u3, u1} σ R _inst_1) -> (MvPolynomial.{u3, u2} σ S₁ _inst_2)) (RingHom.hasCoeToFun.{max u3 u1, max u3 u2} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.{u3, u2} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)))) (MvPolynomial.map.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 f) (Finsupp.mapRange.{u3, u2, u1} (Finsupp.{u3, 0} σ Nat Nat.hasZero) S₁ R (MulZeroClass.toHasZero.{u2} S₁ (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S₁ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))))) (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) g hg φ)) φ) (forall (d : Finsupp.{u3, 0} σ Nat Nat.hasZero), Eq.{succ u2} S₁ (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (fun (_x : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) => R -> S₁) (RingHom.hasCoeToFun.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) f (g (MvPolynomial.coeff.{u2, u3} S₁ σ _inst_2 d φ))) (MvPolynomial.coeff.{u2, u3} S₁ σ _inst_2 d φ))
+but is expected to have type
+  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] (f : RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (g : S₁ -> R) (hg : Eq.{succ u2} R (g (OfNat.ofNat.{u3} S₁ 0 (Zero.toOfNat0.{u3} S₁ (CommMonoidWithZero.toZero.{u3} S₁ (CommSemiring.toCommMonoidWithZero.{u3} S₁ _inst_2))))) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))))) (φ : MvPolynomial.{u1, u3} σ S₁ _inst_2), Iff (Eq.{max (succ u3) (succ u1)} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u3} σ S₁ _inst_2) (Finsupp.mapRange.{u1, u3, u2} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) S₁ R (CommMonoidWithZero.toZero.{u3} S₁ (CommSemiring.toCommMonoidWithZero.{u3} S₁ _inst_2)) (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) g hg φ)) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u2) (succ u1), max (succ u3) (succ u1)} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u3} σ S₁ _inst_2) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, max u2 u1, max u3 u1} (RingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)))) (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (RingHom.instRingHomClassRingHom.{max u2 u1, max u3 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))))))) (MvPolynomial.map.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 f) (Finsupp.mapRange.{u1, u3, u2} (Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) S₁ R (CommMonoidWithZero.toZero.{u3} S₁ (CommSemiring.toCommMonoidWithZero.{u3} S₁ _inst_2)) (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) g hg φ)) φ) (forall (d : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) (g (MvPolynomial.coeff.{u3, u1} S₁ σ _inst_2 d φ))) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) _x) (MulHomClass.toFunLike.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) f (g (MvPolynomial.coeff.{u3, u1} S₁ σ _inst_2 d φ))) (MvPolynomial.coeff.{u3, u1} S₁ σ _inst_2 d φ))
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.map_map_range_eq_iff MvPolynomial.map_mapRange_eq_iffₓ'. -/
 theorem map_mapRange_eq_iff (f : R →+* S₁) (g : S₁ → R) (hg : g 0 = 0) (φ : MvPolynomial σ S₁) :
     map f (Finsupp.mapRange g hg φ) = φ ↔ ∀ d, f (g (coeff d φ)) = coeff d φ :=
   by
@@ -1349,6 +2379,7 @@ theorem map_mapRange_eq_iff (f : R →+* S₁) (g : S₁ → R) (hg : g 0 = 0) (
   rfl
 #align mv_polynomial.map_map_range_eq_iff MvPolynomial.map_mapRange_eq_iff
 
+#print MvPolynomial.mapAlgHom /-
 /-- If `f : S₁ →ₐ[R] S₂` is a morphism of `R`-algebras, then so is `mv_polynomial.map f`. -/
 @[simps]
 def mapAlgHom [CommSemiring S₂] [Algebra R S₁] [Algebra R S₂] (f : S₁ →ₐ[R] S₂) :
@@ -1361,13 +2392,26 @@ def mapAlgHom [CommSemiring S₂] [Algebra R S₁] [Algebra R S₂] (f : S₁ 
       have h₂ : algebraMap R (MvPolynomial σ S₂) r = C (algebraMap R S₂ r) := rfl
       rw [h₁, h₂, map, eval₂_hom_C, RingHom.comp_apply, AlgHom.coe_toRingHom, AlgHom.commutes] }
 #align mv_polynomial.map_alg_hom MvPolynomial.mapAlgHom
+-/
 
+/- warning: mv_polynomial.map_alg_hom_id -> MvPolynomial.mapAlgHom_id is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {S₁ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] [_inst_3 : Algebra.{u1, u2} R S₁ _inst_1 (CommSemiring.toSemiring.{u2} S₁ _inst_2)], Eq.{succ (max u3 u2)} (AlgHom.{u1, max u3 u2, max u3 u2} R (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.{u3, u2} σ S₁ _inst_2) _inst_1 (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)) (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)) (MvPolynomial.algebra.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 _inst_3) (MvPolynomial.algebra.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 _inst_3)) (MvPolynomial.mapAlgHom.{u1, u2, u2, u3} R S₁ S₁ σ _inst_1 _inst_2 _inst_2 _inst_3 _inst_3 (AlgHom.id.{u1, u2} R S₁ _inst_1 (CommSemiring.toSemiring.{u2} S₁ _inst_2) _inst_3)) (AlgHom.id.{u1, max u3 u2} R (MvPolynomial.{u3, u2} σ S₁ _inst_2) _inst_1 (CommSemiring.toSemiring.{max u3 u2} (MvPolynomial.{u3, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u3} S₁ σ _inst_2)) (MvPolynomial.algebra.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 _inst_3))
+but is expected to have type
+  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] [_inst_3 : Algebra.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2)], Eq.{max (succ u3) (succ u1)} (AlgHom.{u2, max u3 u1, max u3 u1} R (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.{u1, u3} σ S₁ _inst_2) _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)) (MvPolynomial.algebra.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 _inst_3) (MvPolynomial.algebra.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 _inst_3)) (MvPolynomial.mapAlgHom.{u2, u3, u3, u1} R S₁ S₁ σ _inst_1 _inst_2 _inst_2 _inst_3 _inst_3 (AlgHom.id.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3)) (AlgHom.id.{u2, max u3 u1} R (MvPolynomial.{u1, u3} σ S₁ _inst_2) _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)) (MvPolynomial.algebra.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 _inst_3))
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.map_alg_hom_id MvPolynomial.mapAlgHom_idₓ'. -/
 @[simp]
 theorem mapAlgHom_id [Algebra R S₁] :
     mapAlgHom (AlgHom.id R S₁) = AlgHom.id R (MvPolynomial σ S₁) :=
   AlgHom.ext map_id
 #align mv_polynomial.map_alg_hom_id MvPolynomial.mapAlgHom_id
 
+/- warning: mv_polynomial.map_alg_hom_coe_ring_hom -> MvPolynomial.mapAlgHom_coe_ringHom is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {S₁ : Type.{u2}} {S₂ : Type.{u3}} {σ : Type.{u4}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] [_inst_3 : CommSemiring.{u3} S₂] [_inst_4 : Algebra.{u1, u2} R S₁ _inst_1 (CommSemiring.toSemiring.{u2} S₁ _inst_2)] [_inst_5 : Algebra.{u1, u3} R S₂ _inst_1 (CommSemiring.toSemiring.{u3} S₂ _inst_3)] (f : AlgHom.{u1, u2, u3} R S₁ S₂ _inst_1 (CommSemiring.toSemiring.{u2} S₁ _inst_2) (CommSemiring.toSemiring.{u3} S₂ _inst_3) _inst_4 _inst_5), Eq.{max (succ (max u4 u2)) (succ (max u4 u3))} (RingHom.{max u4 u2, max u4 u3} (MvPolynomial.{u4, u2} σ S₁ _inst_2) (MvPolynomial.{u4, u3} σ S₂ _inst_3) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u4, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u4, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u4} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{max u4 u3} (MvPolynomial.{u4, u3} σ S₂ _inst_3) (CommSemiring.toSemiring.{max u4 u3} (MvPolynomial.{u4, u3} σ S₂ _inst_3) (MvPolynomial.commSemiring.{u3, u4} S₂ σ _inst_3)))) ((fun (a : Sort.{max (succ (max u4 u2)) (succ (max u4 u3))}) (b : Sort.{max (succ (max u4 u2)) (succ (max u4 u3))}) [self : HasLiftT.{max (succ (max u4 u2)) (succ (max u4 u3)), max (succ (max u4 u2)) (succ (max u4 u3))} a b] => self.0) (AlgHom.{u1, max u4 u2, max u4 u3} R (MvPolynomial.{u4, u2} σ S₁ _inst_2) (MvPolynomial.{u4, u3} σ S₂ _inst_3) _inst_1 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u4, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u4} S₁ σ _inst_2)) (CommSemiring.toSemiring.{max u4 u3} (MvPolynomial.{u4, u3} σ S₂ _inst_3) (MvPolynomial.commSemiring.{u3, u4} S₂ σ _inst_3)) (MvPolynomial.algebra.{u1, u2, u4} R S₁ σ _inst_1 _inst_2 _inst_4) (MvPolynomial.algebra.{u1, u3, u4} R S₂ σ _inst_1 _inst_3 _inst_5)) (RingHom.{max u4 u2, max u4 u3} (MvPolynomial.{u4, u2} σ S₁ _inst_2) (MvPolynomial.{u4, u3} σ S₂ _inst_3) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u4, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u4, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u4} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{max u4 u3} (MvPolynomial.{u4, u3} σ S₂ _inst_3) (CommSemiring.toSemiring.{max u4 u3} (MvPolynomial.{u4, u3} σ S₂ _inst_3) (MvPolynomial.commSemiring.{u3, u4} S₂ σ _inst_3)))) (HasLiftT.mk.{max (succ (max u4 u2)) (succ (max u4 u3)), max (succ (max u4 u2)) (succ (max u4 u3))} (AlgHom.{u1, max u4 u2, max u4 u3} R (MvPolynomial.{u4, u2} σ S₁ _inst_2) (MvPolynomial.{u4, u3} σ S₂ _inst_3) _inst_1 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u4, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u4} S₁ σ _inst_2)) (CommSemiring.toSemiring.{max u4 u3} (MvPolynomial.{u4, u3} σ S₂ _inst_3) (MvPolynomial.commSemiring.{u3, u4} S₂ σ _inst_3)) (MvPolynomial.algebra.{u1, u2, u4} R S₁ σ _inst_1 _inst_2 _inst_4) (MvPolynomial.algebra.{u1, u3, u4} R S₂ σ _inst_1 _inst_3 _inst_5)) (RingHom.{max u4 u2, max u4 u3} (MvPolynomial.{u4, u2} σ S₁ _inst_2) (MvPolynomial.{u4, u3} σ S₂ _inst_3) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u4, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u4, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u4} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{max u4 u3} (MvPolynomial.{u4, u3} σ S₂ _inst_3) (CommSemiring.toSemiring.{max u4 u3} (MvPolynomial.{u4, u3} σ S₂ _inst_3) (MvPolynomial.commSemiring.{u3, u4} S₂ σ _inst_3)))) (CoeTCₓ.coe.{max (succ (max u4 u2)) (succ (max u4 u3)), max (succ (max u4 u2)) (succ (max u4 u3))} (AlgHom.{u1, max u4 u2, max u4 u3} R (MvPolynomial.{u4, u2} σ S₁ _inst_2) (MvPolynomial.{u4, u3} σ S₂ _inst_3) _inst_1 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u4, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u4} S₁ σ _inst_2)) (CommSemiring.toSemiring.{max u4 u3} (MvPolynomial.{u4, u3} σ S₂ _inst_3) (MvPolynomial.commSemiring.{u3, u4} S₂ σ _inst_3)) (MvPolynomial.algebra.{u1, u2, u4} R S₁ σ _inst_1 _inst_2 _inst_4) (MvPolynomial.algebra.{u1, u3, u4} R S₂ σ _inst_1 _inst_3 _inst_5)) (RingHom.{max u4 u2, max u4 u3} (MvPolynomial.{u4, u2} σ S₁ _inst_2) (MvPolynomial.{u4, u3} σ S₂ _inst_3) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u4, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u4, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u4} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{max u4 u3} (MvPolynomial.{u4, u3} σ S₂ _inst_3) (CommSemiring.toSemiring.{max u4 u3} (MvPolynomial.{u4, u3} σ S₂ _inst_3) (MvPolynomial.commSemiring.{u3, u4} S₂ σ _inst_3)))) (RingHom.hasCoeT.{max (max u4 u2) u4 u3, max u4 u2, max u4 u3} (AlgHom.{u1, max u4 u2, max u4 u3} R (MvPolynomial.{u4, u2} σ S₁ _inst_2) (MvPolynomial.{u4, u3} σ S₂ _inst_3) _inst_1 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u4, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u4} S₁ σ _inst_2)) (CommSemiring.toSemiring.{max u4 u3} (MvPolynomial.{u4, u3} σ S₂ _inst_3) (MvPolynomial.commSemiring.{u3, u4} S₂ σ _inst_3)) (MvPolynomial.algebra.{u1, u2, u4} R S₁ σ _inst_1 _inst_2 _inst_4) (MvPolynomial.algebra.{u1, u3, u4} R S₂ σ _inst_1 _inst_3 _inst_5)) (MvPolynomial.{u4, u2} σ S₁ _inst_2) (MvPolynomial.{u4, u3} σ S₂ _inst_3) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u4, u2} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u4, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u4} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{max u4 u3} (MvPolynomial.{u4, u3} σ S₂ _inst_3) (CommSemiring.toSemiring.{max u4 u3} (MvPolynomial.{u4, u3} σ S₂ _inst_3) (MvPolynomial.commSemiring.{u3, u4} S₂ σ _inst_3))) (AlgHomClass.toRingHomClass.{max (max u4 u2) u4 u3, u1, max u4 u2, max u4 u3} (AlgHom.{u1, max u4 u2, max u4 u3} R (MvPolynomial.{u4, u2} σ S₁ _inst_2) (MvPolynomial.{u4, u3} σ S₂ _inst_3) _inst_1 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u4, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u4} S₁ σ _inst_2)) (CommSemiring.toSemiring.{max u4 u3} (MvPolynomial.{u4, u3} σ S₂ _inst_3) (MvPolynomial.commSemiring.{u3, u4} S₂ σ _inst_3)) (MvPolynomial.algebra.{u1, u2, u4} R S₁ σ _inst_1 _inst_2 _inst_4) (MvPolynomial.algebra.{u1, u3, u4} R S₂ σ _inst_1 _inst_3 _inst_5)) R (MvPolynomial.{u4, u2} σ S₁ _inst_2) (MvPolynomial.{u4, u3} σ S₂ _inst_3) _inst_1 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u4, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u4} S₁ σ _inst_2)) (CommSemiring.toSemiring.{max u4 u3} (MvPolynomial.{u4, u3} σ S₂ _inst_3) (MvPolynomial.commSemiring.{u3, u4} S₂ σ _inst_3)) (MvPolynomial.algebra.{u1, u2, u4} R S₁ σ _inst_1 _inst_2 _inst_4) (MvPolynomial.algebra.{u1, u3, u4} R S₂ σ _inst_1 _inst_3 _inst_5) (AlgHom.algHomClass.{u1, max u4 u2, max u4 u3} R (MvPolynomial.{u4, u2} σ S₁ _inst_2) (MvPolynomial.{u4, u3} σ S₂ _inst_3) _inst_1 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u4, u2} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u2, u4} S₁ σ _inst_2)) (CommSemiring.toSemiring.{max u4 u3} (MvPolynomial.{u4, u3} σ S₂ _inst_3) (MvPolynomial.commSemiring.{u3, u4} S₂ σ _inst_3)) (MvPolynomial.algebra.{u1, u2, u4} R S₁ σ _inst_1 _inst_2 _inst_4) (MvPolynomial.algebra.{u1, u3, u4} R S₂ σ _inst_1 _inst_3 _inst_5)))))) (MvPolynomial.mapAlgHom.{u1, u2, u3, u4} R S₁ S₂ σ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 f)) (MvPolynomial.map.{u2, u3, u4} S₁ S₂ σ _inst_2 _inst_3 ((fun (a : Sort.{max (succ u2) (succ u3)}) (b : Sort.{max (succ u2) (succ u3)}) [self : HasLiftT.{max (succ u2) (succ u3), max (succ u2) (succ u3)} a b] => self.0) (AlgHom.{u1, u2, u3} R S₁ S₂ _inst_1 (CommSemiring.toSemiring.{u2} S₁ _inst_2) (CommSemiring.toSemiring.{u3} S₂ _inst_3) _inst_4 _inst_5) (RingHom.{u2, u3} S₁ S₂ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_3))) (HasLiftT.mk.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (AlgHom.{u1, u2, u3} R S₁ S₂ _inst_1 (CommSemiring.toSemiring.{u2} S₁ _inst_2) (CommSemiring.toSemiring.{u3} S₂ _inst_3) _inst_4 _inst_5) (RingHom.{u2, u3} S₁ S₂ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_3))) (CoeTCₓ.coe.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (AlgHom.{u1, u2, u3} R S₁ S₂ _inst_1 (CommSemiring.toSemiring.{u2} S₁ _inst_2) (CommSemiring.toSemiring.{u3} S₂ _inst_3) _inst_4 _inst_5) (RingHom.{u2, u3} S₁ S₂ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_3))) (RingHom.hasCoeT.{max u2 u3, u2, u3} (AlgHom.{u1, u2, u3} R S₁ S₂ _inst_1 (CommSemiring.toSemiring.{u2} S₁ _inst_2) (CommSemiring.toSemiring.{u3} S₂ _inst_3) _inst_4 _inst_5) S₁ S₂ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_3)) (AlgHomClass.toRingHomClass.{max u2 u3, u1, u2, u3} (AlgHom.{u1, u2, u3} R S₁ S₂ _inst_1 (CommSemiring.toSemiring.{u2} S₁ _inst_2) (CommSemiring.toSemiring.{u3} S₂ _inst_3) _inst_4 _inst_5) R S₁ S₂ _inst_1 (CommSemiring.toSemiring.{u2} S₁ _inst_2) (CommSemiring.toSemiring.{u3} S₂ _inst_3) _inst_4 _inst_5 (AlgHom.algHomClass.{u1, u2, u3} R S₁ S₂ _inst_1 (CommSemiring.toSemiring.{u2} S₁ _inst_2) (CommSemiring.toSemiring.{u3} S₂ _inst_3) _inst_4 _inst_5))))) f))
+but is expected to have type
+  forall {R : Type.{u2}} {S₁ : Type.{u3}} {S₂ : Type.{u4}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] [_inst_3 : CommSemiring.{u4} S₂] [_inst_4 : Algebra.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2)] [_inst_5 : Algebra.{u2, u4} R S₂ _inst_1 (CommSemiring.toSemiring.{u4} S₂ _inst_3)] (f : AlgHom.{u2, u3, u4} R S₁ S₂ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) (CommSemiring.toSemiring.{u4} S₂ _inst_3) _inst_4 _inst_5), Eq.{max (max (succ u3) (succ u4)) (succ u1)} (RingHom.{max u3 u1, max u4 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.{u1, u4} σ S₂ _inst_3) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₂ _inst_3) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₂ _inst_3) (MvPolynomial.commSemiring.{u4, u1} S₂ σ _inst_3)))) (RingHomClass.toRingHom.{max (max u3 u4) u1, max u3 u1, max u4 u1} (AlgHom.{u2, max u3 u1, max u4 u1} R (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.{u1, u4} σ S₂ _inst_3) _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₂ _inst_3) (MvPolynomial.commSemiring.{u4, u1} S₂ σ _inst_3)) (MvPolynomial.algebra.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 _inst_4) (MvPolynomial.algebra.{u2, u4, u1} R S₂ σ _inst_1 _inst_3 _inst_5)) (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.{u1, u4} σ S₂ _inst_3) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2))) (Semiring.toNonAssocSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₂ _inst_3) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₂ _inst_3) (MvPolynomial.commSemiring.{u4, u1} S₂ σ _inst_3))) (AlgHomClass.toRingHomClass.{max (max u3 u4) u1, u2, max u3 u1, max u4 u1} (AlgHom.{u2, max u3 u1, max u4 u1} R (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.{u1, u4} σ S₂ _inst_3) _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₂ _inst_3) (MvPolynomial.commSemiring.{u4, u1} S₂ σ _inst_3)) (MvPolynomial.algebra.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 _inst_4) (MvPolynomial.algebra.{u2, u4, u1} R S₂ σ _inst_1 _inst_3 _inst_5)) R (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.{u1, u4} σ S₂ _inst_3) _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₂ _inst_3) (MvPolynomial.commSemiring.{u4, u1} S₂ σ _inst_3)) (MvPolynomial.algebra.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 _inst_4) (MvPolynomial.algebra.{u2, u4, u1} R S₂ σ _inst_1 _inst_3 _inst_5) (AlgHom.algHomClass.{u2, max u3 u1, max u4 u1} R (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.{u1, u4} σ S₂ _inst_3) _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ S₁ _inst_2) (MvPolynomial.commSemiring.{u3, u1} S₁ σ _inst_2)) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ S₂ _inst_3) (MvPolynomial.commSemiring.{u4, u1} S₂ σ _inst_3)) (MvPolynomial.algebra.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 _inst_4) (MvPolynomial.algebra.{u2, u4, u1} R S₂ σ _inst_1 _inst_3 _inst_5))) (MvPolynomial.mapAlgHom.{u2, u3, u4, u1} R S₁ S₂ σ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 f)) (MvPolynomial.map.{u3, u4, u1} S₁ S₂ σ _inst_2 _inst_3 (RingHomClass.toRingHom.{max u3 u4, u3, u4} (AlgHom.{u2, u3, u4} R S₁ S₂ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) (CommSemiring.toSemiring.{u4} S₂ _inst_3) _inst_4 _inst_5) S₁ S₂ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} S₂ (CommSemiring.toSemiring.{u4} S₂ _inst_3)) (AlgHomClass.toRingHomClass.{max u3 u4, u2, u3, u4} (AlgHom.{u2, u3, u4} R S₁ S₂ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) (CommSemiring.toSemiring.{u4} S₂ _inst_3) _inst_4 _inst_5) R S₁ S₂ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) (CommSemiring.toSemiring.{u4} S₂ _inst_3) _inst_4 _inst_5 (AlgHom.algHomClass.{u2, u3, u4} R S₁ S₂ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) (CommSemiring.toSemiring.{u4} S₂ _inst_3) _inst_4 _inst_5)) f))
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.map_alg_hom_coe_ring_hom MvPolynomial.mapAlgHom_coe_ringHomₓ'. -/
 @[simp]
 theorem mapAlgHom_coe_ringHom [CommSemiring S₂] [Algebra R S₁] [Algebra R S₂] (f : S₁ →ₐ[R] S₂) :
     ↑(mapAlgHom f : _ →ₐ[R] MvPolynomial σ S₂) =
@@ -1386,44 +2430,94 @@ variable [Algebra R S₁] [CommSemiring S₂]
 
 variable (f : σ → S₁)
 
+#print MvPolynomial.aeval /-
 /-- A map `σ → S₁` where `S₁` is an algebra over `R` generates an `R`-algebra homomorphism
 from multivariate polynomials over `σ` to `S₁`. -/
 def aeval : MvPolynomial σ R →ₐ[R] S₁ :=
-  { eval₂Hom (algebraMap R S₁) f with commutes' := fun r => eval₂_c _ _ _ }
+  { eval₂Hom (algebraMap R S₁) f with commutes' := fun r => eval₂_C _ _ _ }
 #align mv_polynomial.aeval MvPolynomial.aeval
+-/
 
+/- warning: mv_polynomial.aeval_def -> MvPolynomial.aeval_def is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {S₁ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] [_inst_3 : Algebra.{u1, u2} R S₁ _inst_1 (CommSemiring.toSemiring.{u2} S₁ _inst_2)] (f : σ -> S₁) (p : MvPolynomial.{u3, u1} σ R _inst_1), Eq.{succ u2} S₁ (coeFn.{max (succ (max u3 u1)) (succ u2), max (succ (max u3 u1)) (succ u2)} (AlgHom.{u1, max u3 u1, u2} R (MvPolynomial.{u3, u1} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (CommSemiring.toSemiring.{u2} S₁ _inst_2) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_3) (fun (_x : AlgHom.{u1, max u3 u1, u2} R (MvPolynomial.{u3, u1} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (CommSemiring.toSemiring.{u2} S₁ _inst_2) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_3) => (MvPolynomial.{u3, u1} σ R _inst_1) -> S₁) ([anonymous].{u1, max u3 u1, u2} R (MvPolynomial.{u3, u1} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (CommSemiring.toSemiring.{u2} S₁ _inst_2) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_3) (MvPolynomial.aeval.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 _inst_3 f) p) (MvPolynomial.eval₂.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 (algebraMap.{u1, u2} R S₁ _inst_1 (CommSemiring.toSemiring.{u2} S₁ _inst_2) _inst_3) f p)
+but is expected to have type
+  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] [_inst_3 : Algebra.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2)] (f : σ -> S₁) (p : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u1, u2} σ R _inst_1) => S₁) p) (FunLike.coe.{max (max (succ u3) (succ u1)) (succ u2), max (succ u1) (succ u2), succ u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u1, u2} σ R _inst_1) => S₁) _x) (SMulHomClass.toFunLike.{max (max u3 u1) u2, u2, max u1 u2, u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (SMulZeroClass.toSMul.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (AddMonoid.toZero.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (DistribSMul.toSMulZeroClass.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (DistribMulAction.toDistribSMul.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))))))) (SMulZeroClass.toSMul.{u2, u3} R S₁ (AddMonoid.toZero.{u3} S₁ (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (DistribSMul.toSMulZeroClass.{u2, u3} R S₁ (AddMonoid.toAddZeroClass.{u3} S₁ (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (DistribMulAction.toDistribSMul.{u2, u3} R S₁ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))))) (Module.toDistribMulAction.{u2, u3} R S₁ (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (Algebra.toModule.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3))))) (DistribMulActionHomClass.toSMulHomClass.{max (max u3 u1) u2, u2, max u1 u2, u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (Module.toDistribMulAction.{u2, u3} R S₁ (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (Algebra.toModule.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max (max u3 u1) u2, u2, max u1 u2, u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (Module.toDistribMulAction.{u2, u3} R S₁ (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (Algebra.toModule.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u2, max u1 u2, u3, max (max u3 u1) u2} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3 (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) (AlgHom.algHomClass.{u2, max u1 u2, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3))))) (MvPolynomial.aeval.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 _inst_3 f) p) (MvPolynomial.eval₂.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 (algebraMap.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3) f p)
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.aeval_def MvPolynomial.aeval_defₓ'. -/
 theorem aeval_def (p : MvPolynomial σ R) : aeval f p = eval₂ (algebraMap R S₁) f p :=
   rfl
 #align mv_polynomial.aeval_def MvPolynomial.aeval_def
 
+/- warning: mv_polynomial.aeval_eq_eval₂_hom -> MvPolynomial.aeval_eq_eval₂Hom is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {S₁ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] [_inst_3 : Algebra.{u1, u2} R S₁ _inst_1 (CommSemiring.toSemiring.{u2} S₁ _inst_2)] (f : σ -> S₁) (p : MvPolynomial.{u3, u1} σ R _inst_1), Eq.{succ u2} S₁ (coeFn.{max (succ (max u3 u1)) (succ u2), max (succ (max u3 u1)) (succ u2)} (AlgHom.{u1, max u3 u1, u2} R (MvPolynomial.{u3, u1} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (CommSemiring.toSemiring.{u2} S₁ _inst_2) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_3) (fun (_x : AlgHom.{u1, max u3 u1, u2} R (MvPolynomial.{u3, u1} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (CommSemiring.toSemiring.{u2} S₁ _inst_2) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_3) => (MvPolynomial.{u3, u1} σ R _inst_1) -> S₁) ([anonymous].{u1, max u3 u1, u2} R (MvPolynomial.{u3, u1} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (CommSemiring.toSemiring.{u2} S₁ _inst_2) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_3) (MvPolynomial.aeval.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 _inst_3 f) p) (coeFn.{max (succ (max u3 u1)) (succ u2), max (succ (max u3 u1)) (succ u2)} (RingHom.{max u3 u1, u2} (MvPolynomial.{u3, u1} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (fun (_x : RingHom.{max u3 u1, u2} (MvPolynomial.{u3, u1} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) => (MvPolynomial.{u3, u1} σ R _inst_1) -> S₁) (RingHom.hasCoeToFun.{max u3 u1, u2} (MvPolynomial.{u3, u1} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (MvPolynomial.eval₂Hom.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 (algebraMap.{u1, u2} R S₁ _inst_1 (CommSemiring.toSemiring.{u2} S₁ _inst_2) _inst_3) f) p)
+but is expected to have type
+  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] [_inst_3 : Algebra.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2)] (f : σ -> S₁) (p : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u1, u2} σ R _inst_1) => S₁) p) (FunLike.coe.{max (max (succ u3) (succ u1)) (succ u2), max (succ u1) (succ u2), succ u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u1, u2} σ R _inst_1) => S₁) _x) (SMulHomClass.toFunLike.{max (max u3 u1) u2, u2, max u1 u2, u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (SMulZeroClass.toSMul.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (AddMonoid.toZero.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (DistribSMul.toSMulZeroClass.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (DistribMulAction.toDistribSMul.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))))))) (SMulZeroClass.toSMul.{u2, u3} R S₁ (AddMonoid.toZero.{u3} S₁ (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (DistribSMul.toSMulZeroClass.{u2, u3} R S₁ (AddMonoid.toAddZeroClass.{u3} S₁ (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (DistribMulAction.toDistribSMul.{u2, u3} R S₁ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))))) (Module.toDistribMulAction.{u2, u3} R S₁ (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (Algebra.toModule.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3))))) (DistribMulActionHomClass.toSMulHomClass.{max (max u3 u1) u2, u2, max u1 u2, u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (Module.toDistribMulAction.{u2, u3} R S₁ (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (Algebra.toModule.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max (max u3 u1) u2, u2, max u1 u2, u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (Module.toDistribMulAction.{u2, u3} R S₁ (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (Algebra.toModule.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u2, max u1 u2, u3, max (max u3 u1) u2} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3 (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) (AlgHom.algHomClass.{u2, max u1 u2, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3))))) (MvPolynomial.aeval.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 _inst_3 f) p) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u2) (succ u1), succ u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => S₁) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (MvPolynomial.eval₂Hom.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 (algebraMap.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3) f) p)
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.aeval_eq_eval₂_hom MvPolynomial.aeval_eq_eval₂Homₓ'. -/
 theorem aeval_eq_eval₂Hom (p : MvPolynomial σ R) : aeval f p = eval₂Hom (algebraMap R S₁) f p :=
   rfl
 #align mv_polynomial.aeval_eq_eval₂_hom MvPolynomial.aeval_eq_eval₂Hom
 
-@[simp]
-theorem aeval_x (s : σ) : aeval f (x s : MvPolynomial _ R) = f s :=
-  eval₂_x _ _ _
-#align mv_polynomial.aeval_X MvPolynomial.aeval_x
-
-@[simp]
-theorem aeval_c (r : R) : aeval f (c r) = algebraMap R S₁ r :=
-  eval₂_c _ _ _
-#align mv_polynomial.aeval_C MvPolynomial.aeval_c
-
-theorem aeval_unique (φ : MvPolynomial σ R →ₐ[R] S₁) : φ = aeval (φ ∘ x) :=
+/- warning: mv_polynomial.aeval_X -> MvPolynomial.aeval_X is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {S₁ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] [_inst_3 : Algebra.{u1, u2} R S₁ _inst_1 (CommSemiring.toSemiring.{u2} S₁ _inst_2)] (f : σ -> S₁) (s : σ), Eq.{succ u2} S₁ (coeFn.{max (succ (max u3 u1)) (succ u2), max (succ (max u3 u1)) (succ u2)} (AlgHom.{u1, max u3 u1, u2} R (MvPolynomial.{u3, u1} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (CommSemiring.toSemiring.{u2} S₁ _inst_2) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_3) (fun (_x : AlgHom.{u1, max u3 u1, u2} R (MvPolynomial.{u3, u1} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (CommSemiring.toSemiring.{u2} S₁ _inst_2) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_3) => (MvPolynomial.{u3, u1} σ R _inst_1) -> S₁) ([anonymous].{u1, max u3 u1, u2} R (MvPolynomial.{u3, u1} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (CommSemiring.toSemiring.{u2} S₁ _inst_2) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_3) (MvPolynomial.aeval.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 _inst_3 f) (MvPolynomial.X.{u1, u3} R σ _inst_1 s)) (f s)
+but is expected to have type
+  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] [_inst_3 : Algebra.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2)] (f : σ -> S₁) (s : σ), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u1, u2} σ R _inst_1) => S₁) (MvPolynomial.X.{u2, u1} R σ _inst_1 s)) (FunLike.coe.{max (max (succ u3) (succ u1)) (succ u2), max (succ u1) (succ u2), succ u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u1, u2} σ R _inst_1) => S₁) _x) (SMulHomClass.toFunLike.{max (max u3 u1) u2, u2, max u1 u2, u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (SMulZeroClass.toSMul.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (AddMonoid.toZero.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (DistribSMul.toSMulZeroClass.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (DistribMulAction.toDistribSMul.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))))))) (SMulZeroClass.toSMul.{u2, u3} R S₁ (AddMonoid.toZero.{u3} S₁ (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (DistribSMul.toSMulZeroClass.{u2, u3} R S₁ (AddMonoid.toAddZeroClass.{u3} S₁ (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (DistribMulAction.toDistribSMul.{u2, u3} R S₁ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))))) (Module.toDistribMulAction.{u2, u3} R S₁ (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (Algebra.toModule.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3))))) (DistribMulActionHomClass.toSMulHomClass.{max (max u3 u1) u2, u2, max u1 u2, u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (Module.toDistribMulAction.{u2, u3} R S₁ (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (Algebra.toModule.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max (max u3 u1) u2, u2, max u1 u2, u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (Module.toDistribMulAction.{u2, u3} R S₁ (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (Algebra.toModule.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u2, max u1 u2, u3, max (max u3 u1) u2} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3 (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) (AlgHom.algHomClass.{u2, max u1 u2, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3))))) (MvPolynomial.aeval.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 _inst_3 f) (MvPolynomial.X.{u2, u1} R σ _inst_1 s)) (f s)
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.aeval_X MvPolynomial.aeval_Xₓ'. -/
+@[simp]
+theorem aeval_X (s : σ) : aeval f (X s : MvPolynomial _ R) = f s :=
+  eval₂_X _ _ _
+#align mv_polynomial.aeval_X MvPolynomial.aeval_X
+
+/- warning: mv_polynomial.aeval_C -> MvPolynomial.aeval_C is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {S₁ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] [_inst_3 : Algebra.{u1, u2} R S₁ _inst_1 (CommSemiring.toSemiring.{u2} S₁ _inst_2)] (f : σ -> S₁) (r : R), Eq.{succ u2} S₁ (coeFn.{max (succ (max u3 u1)) (succ u2), max (succ (max u3 u1)) (succ u2)} (AlgHom.{u1, max u3 u1, u2} R (MvPolynomial.{u3, u1} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (CommSemiring.toSemiring.{u2} S₁ _inst_2) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_3) (fun (_x : AlgHom.{u1, max u3 u1, u2} R (MvPolynomial.{u3, u1} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (CommSemiring.toSemiring.{u2} S₁ _inst_2) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_3) => (MvPolynomial.{u3, u1} σ R _inst_1) -> S₁) ([anonymous].{u1, max u3 u1, u2} R (MvPolynomial.{u3, u1} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (CommSemiring.toSemiring.{u2} S₁ _inst_2) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_3) (MvPolynomial.aeval.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 _inst_3 f) (coeFn.{max (succ u1) (succ (max u3 u1)), max (succ u1) (succ (max u3 u1))} (RingHom.{u1, max u3 u1} R (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)))) (fun (_x : RingHom.{u1, max u3 u1} R (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)))) => R -> (MvPolynomial.{u3, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{u1, max u3 u1} R (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)))) (MvPolynomial.C.{u1, u3} R σ _inst_1) r)) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (fun (_x : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) => R -> S₁) (RingHom.hasCoeToFun.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (algebraMap.{u1, u2} R S₁ _inst_1 (CommSemiring.toSemiring.{u2} S₁ _inst_2) _inst_3) r)
+but is expected to have type
+  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] [_inst_3 : Algebra.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2)] (f : σ -> S₁) (r : R), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u1, u2} σ R _inst_1) => S₁) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (a : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) r)) (FunLike.coe.{max (max (succ u3) (succ u1)) (succ u2), max (succ u1) (succ u2), succ u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u1, u2} σ R _inst_1) => S₁) _x) (SMulHomClass.toFunLike.{max (max u3 u1) u2, u2, max u1 u2, u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (SMulZeroClass.toSMul.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (AddMonoid.toZero.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (DistribSMul.toSMulZeroClass.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (DistribMulAction.toDistribSMul.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))))))) (SMulZeroClass.toSMul.{u2, u3} R S₁ (AddMonoid.toZero.{u3} S₁ (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (DistribSMul.toSMulZeroClass.{u2, u3} R S₁ (AddMonoid.toAddZeroClass.{u3} S₁ (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (DistribMulAction.toDistribSMul.{u2, u3} R S₁ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))))) (Module.toDistribMulAction.{u2, u3} R S₁ (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (Algebra.toModule.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3))))) (DistribMulActionHomClass.toSMulHomClass.{max (max u3 u1) u2, u2, max u1 u2, u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (Module.toDistribMulAction.{u2, u3} R S₁ (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (Algebra.toModule.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max (max u3 u1) u2, u2, max u1 u2, u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (Module.toDistribMulAction.{u2, u3} R S₁ (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (Algebra.toModule.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u2, max u1 u2, u3, max (max u3 u1) u2} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3 (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) (AlgHom.algHomClass.{u2, max u1 u2, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3))))) (MvPolynomial.aeval.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 _inst_3 f) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (MvPolynomial.C.{u2, u1} R σ _inst_1) r)) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) _x) (MulHomClass.toFunLike.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (algebraMap.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3) r)
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.aeval_C MvPolynomial.aeval_Cₓ'. -/
+@[simp]
+theorem aeval_C (r : R) : aeval f (C r) = algebraMap R S₁ r :=
+  eval₂_C _ _ _
+#align mv_polynomial.aeval_C MvPolynomial.aeval_C
+
+/- warning: mv_polynomial.aeval_unique -> MvPolynomial.aeval_unique is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {S₁ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] [_inst_3 : Algebra.{u1, u2} R S₁ _inst_1 (CommSemiring.toSemiring.{u2} S₁ _inst_2)] (φ : AlgHom.{u1, max u3 u1, u2} R (MvPolynomial.{u3, u1} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (CommSemiring.toSemiring.{u2} S₁ _inst_2) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_3), Eq.{max (succ (max u3 u1)) (succ u2)} (AlgHom.{u1, max u3 u1, u2} R (MvPolynomial.{u3, u1} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (CommSemiring.toSemiring.{u2} S₁ _inst_2) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_3) φ (MvPolynomial.aeval.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 _inst_3 (Function.comp.{succ u3, max (succ u3) (succ u1), succ u2} σ (MvPolynomial.{u3, u1} σ R _inst_1) S₁ (coeFn.{max (succ (max u3 u1)) (succ u2), max (succ (max u3 u1)) (succ u2)} (AlgHom.{u1, max u3 u1, u2} R (MvPolynomial.{u3, u1} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (CommSemiring.toSemiring.{u2} S₁ _inst_2) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_3) (fun (_x : AlgHom.{u1, max u3 u1, u2} R (MvPolynomial.{u3, u1} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (CommSemiring.toSemiring.{u2} S₁ _inst_2) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_3) => (MvPolynomial.{u3, u1} σ R _inst_1) -> S₁) ([anonymous].{u1, max u3 u1, u2} R (MvPolynomial.{u3, u1} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (CommSemiring.toSemiring.{u2} S₁ _inst_2) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_3) φ) (MvPolynomial.X.{u1, u3} R σ _inst_1)))
+but is expected to have type
+  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] [_inst_3 : Algebra.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2)] (φ : AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3), Eq.{max (max (succ u2) (succ u3)) (succ u1)} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) φ (MvPolynomial.aeval.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 _inst_3 (Function.comp.{succ u1, max (succ u2) (succ u1), succ u3} σ (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u2) (succ u1), succ u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u1, u2} σ R _inst_1) => S₁) _x) (SMulHomClass.toFunLike.{max (max u2 u3) u1, u2, max u2 u1, u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (SMulZeroClass.toSMul.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (AddMonoid.toZero.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (DistribSMul.toSMulZeroClass.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (DistribMulAction.toDistribSMul.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (Module.toDistribMulAction.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))))))) (SMulZeroClass.toSMul.{u2, u3} R S₁ (AddMonoid.toZero.{u3} S₁ (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (DistribSMul.toSMulZeroClass.{u2, u3} R S₁ (AddMonoid.toAddZeroClass.{u3} S₁ (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (DistribMulAction.toDistribSMul.{u2, u3} R S₁ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))))) (Module.toDistribMulAction.{u2, u3} R S₁ (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (Algebra.toModule.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3))))) (DistribMulActionHomClass.toSMulHomClass.{max (max u2 u3) u1, u2, max u2 u1, u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))))) (Module.toDistribMulAction.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (Module.toDistribMulAction.{u2, u3} R S₁ (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (Algebra.toModule.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max (max u2 u3) u1, u2, max u2 u1, u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (Module.toDistribMulAction.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (Module.toDistribMulAction.{u2, u3} R S₁ (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (Algebra.toModule.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u2, max u2 u1, u3, max (max u2 u3) u1} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3 (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) (AlgHom.algHomClass.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3))))) φ) (MvPolynomial.X.{u2, u1} R σ _inst_1)))
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.aeval_unique MvPolynomial.aeval_uniqueₓ'. -/
+theorem aeval_unique (φ : MvPolynomial σ R →ₐ[R] S₁) : φ = aeval (φ ∘ X) :=
   by
   ext i
   simp
 #align mv_polynomial.aeval_unique MvPolynomial.aeval_unique
 
-theorem aeval_x_left : aeval x = AlgHom.id R (MvPolynomial σ R) :=
+/- warning: mv_polynomial.aeval_X_left -> MvPolynomial.aeval_X_left is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R], Eq.{succ (max u2 u1)} (AlgHom.{u1, max u2 u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1))) (MvPolynomial.aeval.{u1, max u2 u1, u2} R (MvPolynomial.{u2, u1} σ R _inst_1) σ _inst_1 (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) (MvPolynomial.X.{u1, u2} R σ _inst_1)) (AlgHom.id.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)))
+but is expected to have type
+  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R], Eq.{max (succ u2) (succ u1)} (AlgHom.{u2, max u2 u1, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) (MvPolynomial.aeval.{u2, max u1 u2, u1} R (MvPolynomial.{u1, u2} σ R _inst_1) σ _inst_1 (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.X.{u2, u1} R σ _inst_1)) (AlgHom.id.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.aeval_X_left MvPolynomial.aeval_X_leftₓ'. -/
+theorem aeval_X_left : aeval X = AlgHom.id R (MvPolynomial σ R) :=
   (aeval_unique (AlgHom.id R _)).symm
-#align mv_polynomial.aeval_X_left MvPolynomial.aeval_x_left
-
-theorem aeval_x_left_apply (p : MvPolynomial σ R) : aeval x p = p :=
-  AlgHom.congr_fun aeval_x_left p
-#align mv_polynomial.aeval_X_left_apply MvPolynomial.aeval_x_left_apply
-
+#align mv_polynomial.aeval_X_left MvPolynomial.aeval_X_left
+
+/- warning: mv_polynomial.aeval_X_left_apply -> MvPolynomial.aeval_X_left_apply is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] (p : MvPolynomial.{u2, u1} σ R _inst_1), Eq.{max (succ u2) (succ u1)} (MvPolynomial.{u2, u1} σ R _inst_1) (coeFn.{succ (max u2 u1), succ (max u2 u1)} (AlgHom.{u1, max u2 u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1))) (fun (_x : AlgHom.{u1, max u2 u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1))) => (MvPolynomial.{u2, u1} σ R _inst_1) -> (MvPolynomial.{u2, u1} σ R _inst_1)) ([anonymous].{u1, max u2 u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1))) (MvPolynomial.aeval.{u1, max u2 u1, u2} R (MvPolynomial.{u2, u1} σ R _inst_1) σ _inst_1 (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) (MvPolynomial.X.{u1, u2} R σ _inst_1)) p) p
+but is expected to have type
+  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] (p : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u2} σ R _inst_1) p) (FunLike.coe.{max (succ u2) (succ u1), max (succ u2) (succ u1), max (succ u1) (succ u2)} (AlgHom.{u2, max u2 u1, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u1, u2} σ R _inst_1) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (SMulHomClass.toFunLike.{max u2 u1, u2, max u2 u1, max u1 u2} (AlgHom.{u2, max u2 u1, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (SMulZeroClass.toSMul.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (AddMonoid.toZero.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (DistribSMul.toSMulZeroClass.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (DistribMulAction.toDistribSMul.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (Module.toDistribMulAction.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))))))) (SMulZeroClass.toSMul.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (AddMonoid.toZero.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (DistribSMul.toSMulZeroClass.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (DistribMulAction.toDistribSMul.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))))))) (DistribMulActionHomClass.toSMulHomClass.{max u2 u1, u2, max u2 u1, max u1 u2} (AlgHom.{u2, max u2 u1, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (Module.toDistribMulAction.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max u2 u1, u2, max u2 u1, max u1 u2} (AlgHom.{u2, max u2 u1, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (Module.toDistribMulAction.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u2, max u2 u1, max u1 u2, max u2 u1} R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (AlgHom.{u2, max u2 u1, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))) (AlgHom.algHomClass.{u2, max u2 u1, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))))))) (MvPolynomial.aeval.{u2, max u1 u2, u1} R (MvPolynomial.{u1, u2} σ R _inst_1) σ _inst_1 (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (MvPolynomial.X.{u2, u1} R σ _inst_1)) p) p
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.aeval_X_left_apply MvPolynomial.aeval_X_left_applyₓ'. -/
+theorem aeval_X_left_apply (p : MvPolynomial σ R) : aeval X p = p :=
+  AlgHom.congr_fun aeval_X_left p
+#align mv_polynomial.aeval_X_left_apply MvPolynomial.aeval_X_left_apply
+
+/- warning: mv_polynomial.comp_aeval -> MvPolynomial.comp_aeval is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {S₁ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] [_inst_3 : Algebra.{u1, u2} R S₁ _inst_1 (CommSemiring.toSemiring.{u2} S₁ _inst_2)] (f : σ -> S₁) {B : Type.{u4}} [_inst_5 : CommSemiring.{u4} B] [_inst_6 : Algebra.{u1, u4} R B _inst_1 (CommSemiring.toSemiring.{u4} B _inst_5)] (φ : AlgHom.{u1, u2, u4} R S₁ B _inst_1 (CommSemiring.toSemiring.{u2} S₁ _inst_2) (CommSemiring.toSemiring.{u4} B _inst_5) _inst_3 _inst_6), Eq.{max (succ (max u3 u1)) (succ u4)} (AlgHom.{u1, max u3 u1, u4} R (MvPolynomial.{u3, u1} σ R _inst_1) B _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (CommSemiring.toSemiring.{u4} B _inst_5) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_6) (AlgHom.comp.{u1, max u3 u1, u2, u4} R (MvPolynomial.{u3, u1} σ R _inst_1) S₁ B _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (CommSemiring.toSemiring.{u2} S₁ _inst_2) (CommSemiring.toSemiring.{u4} B _inst_5) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_3 _inst_6 φ (MvPolynomial.aeval.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 _inst_3 f)) (MvPolynomial.aeval.{u1, u4, u3} R B σ _inst_1 _inst_5 _inst_6 (fun (i : σ) => coeFn.{max (succ u2) (succ u4), max (succ u2) (succ u4)} (AlgHom.{u1, u2, u4} R S₁ B _inst_1 (CommSemiring.toSemiring.{u2} S₁ _inst_2) (CommSemiring.toSemiring.{u4} B _inst_5) _inst_3 _inst_6) (fun (_x : AlgHom.{u1, u2, u4} R S₁ B _inst_1 (CommSemiring.toSemiring.{u2} S₁ _inst_2) (CommSemiring.toSemiring.{u4} B _inst_5) _inst_3 _inst_6) => S₁ -> B) ([anonymous].{u1, u2, u4} R S₁ B _inst_1 (CommSemiring.toSemiring.{u2} S₁ _inst_2) (CommSemiring.toSemiring.{u4} B _inst_5) _inst_3 _inst_6) φ (f i)))
+but is expected to have type
+  forall {R : Type.{u3}} {S₁ : Type.{u4}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u3} R] [_inst_2 : CommSemiring.{u4} S₁] [_inst_3 : Algebra.{u3, u4} R S₁ _inst_1 (CommSemiring.toSemiring.{u4} S₁ _inst_2)] (f : σ -> S₁) {B : Type.{u2}} [_inst_5 : CommSemiring.{u2} B] [_inst_6 : Algebra.{u3, u2} R B _inst_1 (CommSemiring.toSemiring.{u2} B _inst_5)] (φ : AlgHom.{u3, u4, u2} R S₁ B _inst_1 (CommSemiring.toSemiring.{u4} S₁ _inst_2) (CommSemiring.toSemiring.{u2} B _inst_5) _inst_3 _inst_6), Eq.{max (max (succ u3) (succ u1)) (succ u2)} (AlgHom.{u3, max u3 u1, u2} R (MvPolynomial.{u1, u3} σ R _inst_1) B _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u2} B _inst_5) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_6) (AlgHom.comp.{u3, max u3 u1, u4, u2} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ B _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (CommSemiring.toSemiring.{u2} B _inst_5) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3 _inst_6 φ (MvPolynomial.aeval.{u3, u4, u1} R S₁ σ _inst_1 _inst_2 _inst_3 f)) (MvPolynomial.aeval.{u3, u2, u1} R B σ _inst_1 _inst_5 _inst_6 (fun (i : σ) => FunLike.coe.{max (succ u4) (succ u2), succ u4, succ u2} (AlgHom.{u3, u4, u2} R S₁ B _inst_1 (CommSemiring.toSemiring.{u4} S₁ _inst_2) (CommSemiring.toSemiring.{u2} B _inst_5) _inst_3 _inst_6) S₁ (fun (_x : S₁) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : S₁) => B) _x) (SMulHomClass.toFunLike.{max u4 u2, u3, u4, u2} (AlgHom.{u3, u4, u2} R S₁ B _inst_1 (CommSemiring.toSemiring.{u4} S₁ _inst_2) (CommSemiring.toSemiring.{u2} B _inst_5) _inst_3 _inst_6) R S₁ B (SMulZeroClass.toSMul.{u3, u4} R S₁ (AddMonoid.toZero.{u4} S₁ (AddCommMonoid.toAddMonoid.{u4} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))))) (DistribSMul.toSMulZeroClass.{u3, u4} R S₁ (AddMonoid.toAddZeroClass.{u4} S₁ (AddCommMonoid.toAddMonoid.{u4} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))))) (DistribMulAction.toDistribSMul.{u3, u4} R S₁ (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (AddCommMonoid.toAddMonoid.{u4} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2))))) (Module.toDistribMulAction.{u3, u4} R S₁ (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))) (Algebra.toModule.{u3, u4} R S₁ _inst_1 (CommSemiring.toSemiring.{u4} S₁ _inst_2) _inst_3))))) (SMulZeroClass.toSMul.{u3, u2} R B (AddMonoid.toZero.{u2} B (AddCommMonoid.toAddMonoid.{u2} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5)))))) (DistribSMul.toSMulZeroClass.{u3, u2} R B (AddMonoid.toAddZeroClass.{u2} B (AddCommMonoid.toAddMonoid.{u2} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5)))))) (DistribMulAction.toDistribSMul.{u3, u2} R B (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (AddCommMonoid.toAddMonoid.{u2} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5))))) (Module.toDistribMulAction.{u3, u2} R B (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5)))) (Algebra.toModule.{u3, u2} R B _inst_1 (CommSemiring.toSemiring.{u2} B _inst_5) _inst_6))))) (DistribMulActionHomClass.toSMulHomClass.{max u4 u2, u3, u4, u2} (AlgHom.{u3, u4, u2} R S₁ B _inst_1 (CommSemiring.toSemiring.{u4} S₁ _inst_2) (CommSemiring.toSemiring.{u2} B _inst_5) _inst_3 _inst_6) R S₁ B (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (AddCommMonoid.toAddMonoid.{u4} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2))))) (AddCommMonoid.toAddMonoid.{u2} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5))))) (Module.toDistribMulAction.{u3, u4} R S₁ (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))) (Algebra.toModule.{u3, u4} R S₁ _inst_1 (CommSemiring.toSemiring.{u4} S₁ _inst_2) _inst_3)) (Module.toDistribMulAction.{u3, u2} R B (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5)))) (Algebra.toModule.{u3, u2} R B _inst_1 (CommSemiring.toSemiring.{u2} B _inst_5) _inst_6)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max u4 u2, u3, u4, u2} (AlgHom.{u3, u4, u2} R S₁ B _inst_1 (CommSemiring.toSemiring.{u4} S₁ _inst_2) (CommSemiring.toSemiring.{u2} B _inst_5) _inst_3 _inst_6) R S₁ B (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5))) (Module.toDistribMulAction.{u3, u4} R S₁ (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))) (Algebra.toModule.{u3, u4} R S₁ _inst_1 (CommSemiring.toSemiring.{u4} S₁ _inst_2) _inst_3)) (Module.toDistribMulAction.{u3, u2} R B (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5)))) (Algebra.toModule.{u3, u2} R B _inst_1 (CommSemiring.toSemiring.{u2} B _inst_5) _inst_6)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u3, u4, u2, max u4 u2} R S₁ B _inst_1 (CommSemiring.toSemiring.{u4} S₁ _inst_2) (CommSemiring.toSemiring.{u2} B _inst_5) _inst_3 _inst_6 (AlgHom.{u3, u4, u2} R S₁ B _inst_1 (CommSemiring.toSemiring.{u4} S₁ _inst_2) (CommSemiring.toSemiring.{u2} B _inst_5) _inst_3 _inst_6) (AlgHom.algHomClass.{u3, u4, u2} R S₁ B _inst_1 (CommSemiring.toSemiring.{u4} S₁ _inst_2) (CommSemiring.toSemiring.{u2} B _inst_5) _inst_3 _inst_6))))) φ (f i)))
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.comp_aeval MvPolynomial.comp_aevalₓ'. -/
 theorem comp_aeval {B : Type _} [CommSemiring B] [Algebra R B] (φ : S₁ →ₐ[R] B) :
     φ.comp (aeval f) = aeval fun i => φ (f i) :=
   by
@@ -1431,6 +2525,12 @@ theorem comp_aeval {B : Type _} [CommSemiring B] [Algebra R B] (φ : S₁ →ₐ
   simp
 #align mv_polynomial.comp_aeval MvPolynomial.comp_aeval
 
+/- warning: mv_polynomial.map_aeval -> MvPolynomial.map_aeval is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {S₁ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] [_inst_3 : Algebra.{u1, u2} R S₁ _inst_1 (CommSemiring.toSemiring.{u2} S₁ _inst_2)] {B : Type.{u4}} [_inst_5 : CommSemiring.{u4} B] (g : σ -> S₁) (φ : RingHom.{u2, u4} S₁ B (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} B (CommSemiring.toSemiring.{u4} B _inst_5))) (p : MvPolynomial.{u3, u1} σ R _inst_1), Eq.{succ u4} B (coeFn.{max (succ u2) (succ u4), max (succ u2) (succ u4)} (RingHom.{u2, u4} S₁ B (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} B (CommSemiring.toSemiring.{u4} B _inst_5))) (fun (_x : RingHom.{u2, u4} S₁ B (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} B (CommSemiring.toSemiring.{u4} B _inst_5))) => S₁ -> B) (RingHom.hasCoeToFun.{u2, u4} S₁ B (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} B (CommSemiring.toSemiring.{u4} B _inst_5))) φ (coeFn.{max (succ (max u3 u1)) (succ u2), max (succ (max u3 u1)) (succ u2)} (AlgHom.{u1, max u3 u1, u2} R (MvPolynomial.{u3, u1} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (CommSemiring.toSemiring.{u2} S₁ _inst_2) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_3) (fun (_x : AlgHom.{u1, max u3 u1, u2} R (MvPolynomial.{u3, u1} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (CommSemiring.toSemiring.{u2} S₁ _inst_2) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_3) => (MvPolynomial.{u3, u1} σ R _inst_1) -> S₁) ([anonymous].{u1, max u3 u1, u2} R (MvPolynomial.{u3, u1} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (CommSemiring.toSemiring.{u2} S₁ _inst_2) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_3) (MvPolynomial.aeval.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 _inst_3 g) p)) (coeFn.{max (succ (max u3 u1)) (succ u4), max (succ (max u3 u1)) (succ u4)} (RingHom.{max u3 u1, u4} (MvPolynomial.{u3, u1} σ R _inst_1) B (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u4} B (CommSemiring.toSemiring.{u4} B _inst_5))) (fun (_x : RingHom.{max u3 u1, u4} (MvPolynomial.{u3, u1} σ R _inst_1) B (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u4} B (CommSemiring.toSemiring.{u4} B _inst_5))) => (MvPolynomial.{u3, u1} σ R _inst_1) -> B) (RingHom.hasCoeToFun.{max u3 u1, u4} (MvPolynomial.{u3, u1} σ R _inst_1) B (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u4} B (CommSemiring.toSemiring.{u4} B _inst_5))) (MvPolynomial.eval₂Hom.{u1, u4, u3} R B σ _inst_1 _inst_5 (RingHom.comp.{u1, u2, u4} R S₁ B (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} B (CommSemiring.toSemiring.{u4} B _inst_5)) φ (algebraMap.{u1, u2} R S₁ _inst_1 (CommSemiring.toSemiring.{u2} S₁ _inst_2) _inst_3)) (fun (i : σ) => coeFn.{max (succ u2) (succ u4), max (succ u2) (succ u4)} (RingHom.{u2, u4} S₁ B (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} B (CommSemiring.toSemiring.{u4} B _inst_5))) (fun (_x : RingHom.{u2, u4} S₁ B (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} B (CommSemiring.toSemiring.{u4} B _inst_5))) => S₁ -> B) (RingHom.hasCoeToFun.{u2, u4} S₁ B (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u4} B (CommSemiring.toSemiring.{u4} B _inst_5))) φ (g i))) p)
+but is expected to have type
+  forall {R : Type.{u3}} {S₁ : Type.{u4}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u3} R] [_inst_2 : CommSemiring.{u4} S₁] [_inst_3 : Algebra.{u3, u4} R S₁ _inst_1 (CommSemiring.toSemiring.{u4} S₁ _inst_2)] {B : Type.{u2}} [_inst_5 : CommSemiring.{u2} B] (g : σ -> S₁) (φ : RingHom.{u4, u2} S₁ B (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5))) (p : MvPolynomial.{u1, u3} σ R _inst_1), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : S₁) => B) (FunLike.coe.{max (max (succ u4) (succ u1)) (succ u3), max (succ u1) (succ u3), succ u4} (AlgHom.{u3, max u3 u1, u4} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3) (MvPolynomial.{u1, u3} σ R _inst_1) (fun (a : MvPolynomial.{u1, u3} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u1, u3} σ R _inst_1) => S₁) a) (SMulHomClass.toFunLike.{max (max u4 u1) u3, u3, max u1 u3, u4} (AlgHom.{u3, max u3 u1, u4} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ (SMulZeroClass.toSMul.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (AddMonoid.toZero.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))))) (DistribSMul.toSMulZeroClass.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))))) (DistribMulAction.toDistribSMul.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))))) (Module.toDistribMulAction.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Algebra.toModule.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1))))))) (SMulZeroClass.toSMul.{u3, u4} R S₁ (AddMonoid.toZero.{u4} S₁ (AddCommMonoid.toAddMonoid.{u4} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))))) (DistribSMul.toSMulZeroClass.{u3, u4} R S₁ (AddMonoid.toAddZeroClass.{u4} S₁ (AddCommMonoid.toAddMonoid.{u4} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))))) (DistribMulAction.toDistribSMul.{u3, u4} R S₁ (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (AddCommMonoid.toAddMonoid.{u4} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2))))) (Module.toDistribMulAction.{u3, u4} R S₁ (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))) (Algebra.toModule.{u3, u4} R S₁ _inst_1 (CommSemiring.toSemiring.{u4} S₁ _inst_2) _inst_3))))) (DistribMulActionHomClass.toSMulHomClass.{max (max u4 u1) u3, u3, max u1 u3, u4} (AlgHom.{u3, max u3 u1, u4} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))))) (AddCommMonoid.toAddMonoid.{u4} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2))))) (Module.toDistribMulAction.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Algebra.toModule.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)))) (Module.toDistribMulAction.{u3, u4} R S₁ (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))) (Algebra.toModule.{u3, u4} R S₁ _inst_1 (CommSemiring.toSemiring.{u4} S₁ _inst_2) _inst_3)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max (max u4 u1) u3, u3, max u1 u3, u4} (AlgHom.{u3, max u3 u1, u4} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2))) (Module.toDistribMulAction.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Algebra.toModule.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)))) (Module.toDistribMulAction.{u3, u4} R S₁ (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))) (Algebra.toModule.{u3, u4} R S₁ _inst_1 (CommSemiring.toSemiring.{u4} S₁ _inst_2) _inst_3)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u3, max u1 u3, u4, max (max u4 u1) u3} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3 (AlgHom.{u3, max u3 u1, u4} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3) (AlgHom.algHomClass.{u3, max u1 u3, u4} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3))))) (MvPolynomial.aeval.{u3, u4, u1} R S₁ σ _inst_1 _inst_2 _inst_3 g) p)) (FunLike.coe.{max (succ u4) (succ u2), succ u4, succ u2} (RingHom.{u4, u2} S₁ B (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5))) S₁ (fun (_x : S₁) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : S₁) => B) _x) (MulHomClass.toFunLike.{max u4 u2, u4, u2} (RingHom.{u4, u2} S₁ B (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5))) S₁ B (NonUnitalNonAssocSemiring.toMul.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))) (NonUnitalNonAssocSemiring.toMul.{u2} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5)))) (NonUnitalRingHomClass.toMulHomClass.{max u4 u2, u4, u2} (RingHom.{u4, u2} S₁ B (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5))) S₁ B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5))) (RingHomClass.toNonUnitalRingHomClass.{max u4 u2, u4, u2} (RingHom.{u4, u2} S₁ B (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5))) S₁ B (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5)) (RingHom.instRingHomClassRingHom.{u4, u2} S₁ B (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5)))))) φ (FunLike.coe.{max (max (succ u4) (succ u1)) (succ u3), max (succ u1) (succ u3), succ u4} (AlgHom.{u3, max u3 u1, u4} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3) (MvPolynomial.{u1, u3} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u3} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u1, u3} σ R _inst_1) => S₁) _x) (SMulHomClass.toFunLike.{max (max u4 u1) u3, u3, max u1 u3, u4} (AlgHom.{u3, max u3 u1, u4} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ (SMulZeroClass.toSMul.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (AddMonoid.toZero.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))))) (DistribSMul.toSMulZeroClass.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))))) (DistribMulAction.toDistribSMul.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))))) (Module.toDistribMulAction.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Algebra.toModule.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1))))))) (SMulZeroClass.toSMul.{u3, u4} R S₁ (AddMonoid.toZero.{u4} S₁ (AddCommMonoid.toAddMonoid.{u4} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))))) (DistribSMul.toSMulZeroClass.{u3, u4} R S₁ (AddMonoid.toAddZeroClass.{u4} S₁ (AddCommMonoid.toAddMonoid.{u4} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))))) (DistribMulAction.toDistribSMul.{u3, u4} R S₁ (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (AddCommMonoid.toAddMonoid.{u4} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2))))) (Module.toDistribMulAction.{u3, u4} R S₁ (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))) (Algebra.toModule.{u3, u4} R S₁ _inst_1 (CommSemiring.toSemiring.{u4} S₁ _inst_2) _inst_3))))) (DistribMulActionHomClass.toSMulHomClass.{max (max u4 u1) u3, u3, max u1 u3, u4} (AlgHom.{u3, max u3 u1, u4} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))))) (AddCommMonoid.toAddMonoid.{u4} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2))))) (Module.toDistribMulAction.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Algebra.toModule.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)))) (Module.toDistribMulAction.{u3, u4} R S₁ (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))) (Algebra.toModule.{u3, u4} R S₁ _inst_1 (CommSemiring.toSemiring.{u4} S₁ _inst_2) _inst_3)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max (max u4 u1) u3, u3, max u1 u3, u4} (AlgHom.{u3, max u3 u1, u4} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2))) (Module.toDistribMulAction.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Algebra.toModule.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)))) (Module.toDistribMulAction.{u3, u4} R S₁ (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))) (Algebra.toModule.{u3, u4} R S₁ _inst_1 (CommSemiring.toSemiring.{u4} S₁ _inst_2) _inst_3)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u3, max u1 u3, u4, max (max u4 u1) u3} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3 (AlgHom.{u3, max u3 u1, u4} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3) (AlgHom.algHomClass.{u3, max u1 u3, u4} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3))))) (MvPolynomial.aeval.{u3, u4, u1} R S₁ σ _inst_1 _inst_2 _inst_3 g) p)) (FunLike.coe.{max (max (succ u3) (succ u1)) (succ u2), max (succ u3) (succ u1), succ u2} (RingHom.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) B (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5))) (MvPolynomial.{u1, u3} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u3} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u3} σ R _inst_1) => B) _x) (MulHomClass.toFunLike.{max (max u3 u1) u2, max u3 u1, u2} (RingHom.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) B (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5))) (MvPolynomial.{u1, u3} σ R _inst_1) B (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u2} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5)))) (NonUnitalRingHomClass.toMulHomClass.{max (max u3 u1) u2, max u3 u1, u2} (RingHom.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) B (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5))) (MvPolynomial.{u1, u3} σ R _inst_1) B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5))) (RingHomClass.toNonUnitalRingHomClass.{max (max u3 u1) u2, max u3 u1, u2} (RingHom.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) B (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5))) (MvPolynomial.{u1, u3} σ R _inst_1) B (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5)) (RingHom.instRingHomClassRingHom.{max u3 u1, u2} (MvPolynomial.{u1, u3} σ R _inst_1) B (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5)))))) (MvPolynomial.eval₂Hom.{u3, u2, u1} R B σ _inst_1 _inst_5 (RingHom.comp.{u3, u4, u2} R S₁ B (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5)) φ (algebraMap.{u3, u4} R S₁ _inst_1 (CommSemiring.toSemiring.{u4} S₁ _inst_2) _inst_3)) (fun (i : σ) => FunLike.coe.{max (succ u4) (succ u2), succ u4, succ u2} (RingHom.{u4, u2} S₁ B (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5))) S₁ (fun (_x : S₁) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : S₁) => B) _x) (MulHomClass.toFunLike.{max u4 u2, u4, u2} (RingHom.{u4, u2} S₁ B (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5))) S₁ B (NonUnitalNonAssocSemiring.toMul.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))) (NonUnitalNonAssocSemiring.toMul.{u2} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5)))) (NonUnitalRingHomClass.toMulHomClass.{max u4 u2, u4, u2} (RingHom.{u4, u2} S₁ B (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5))) S₁ B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5))) (RingHomClass.toNonUnitalRingHomClass.{max u4 u2, u4, u2} (RingHom.{u4, u2} S₁ B (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5))) S₁ B (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5)) (RingHom.instRingHomClassRingHom.{u4, u2} S₁ B (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)) (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B _inst_5)))))) φ (g i))) p)
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.map_aeval MvPolynomial.map_aevalₓ'. -/
 @[simp]
 theorem map_aeval {B : Type _} [CommSemiring B] (g : σ → S₁) (φ : S₁ →+* B) (p : MvPolynomial σ R) :
     φ (aeval g p) = eval₂Hom (φ.comp (algebraMap R S₁)) (fun i => φ (g i)) p :=
@@ -1439,65 +2539,137 @@ theorem map_aeval {B : Type _} [CommSemiring B] (g : σ → S₁) (φ : S₁ →
   rfl
 #align mv_polynomial.map_aeval MvPolynomial.map_aeval
 
+/- warning: mv_polynomial.eval₂_hom_zero -> MvPolynomial.eval₂Hom_zero is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {S₂ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_4 : CommSemiring.{u2} S₂] (f : RingHom.{u1, u2} R S₂ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4))), Eq.{max (succ (max u3 u1)) (succ u2)} (RingHom.{max u3 u1, u2} (MvPolynomial.{u3, u1} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4))) (MvPolynomial.eval₂Hom.{u1, u2, u3} R S₂ σ _inst_1 _inst_4 f (OfNat.ofNat.{max u3 u2} (σ -> S₂) 0 (OfNat.mk.{max u3 u2} (σ -> S₂) 0 (Zero.zero.{max u3 u2} (σ -> S₂) (Pi.instZero.{u3, u2} σ (fun (ᾰ : σ) => S₂) (fun (i : σ) => MulZeroClass.toHasZero.{u2} S₂ (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S₂ (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4)))))))))) (RingHom.comp.{max u3 u1, u1, u2} (MvPolynomial.{u3, u1} σ R _inst_1) R S₂ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4)) f (MvPolynomial.constantCoeff.{u1, u3} R σ _inst_1))
+but is expected to have type
+  forall {R : Type.{u2}} {S₂ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_4 : CommSemiring.{u3} S₂] (f : RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))), Eq.{max (max (succ u2) (succ u3)) (succ u1)} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (MvPolynomial.eval₂Hom.{u2, u3, u1} R S₂ σ _inst_1 _inst_4 f (OfNat.ofNat.{max u3 u1} (σ -> S₂) 0 (Zero.toOfNat0.{max u3 u1} (σ -> S₂) (Pi.instZero.{u1, u3} σ (fun (a._@.Mathlib.Data.MvPolynomial.Basic._hyg.19872 : σ) => S₂) (fun (i : σ) => CommMonoidWithZero.toZero.{u3} S₂ (CommSemiring.toCommMonoidWithZero.{u3} S₂ _inst_4)))))) (RingHom.comp.{max u1 u2, u2, u3} (MvPolynomial.{u1, u2} σ R _inst_1) R S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)) f (MvPolynomial.constantCoeff.{u2, u1} R σ _inst_1))
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval₂_hom_zero MvPolynomial.eval₂Hom_zeroₓ'. -/
 @[simp]
 theorem eval₂Hom_zero (f : R →+* S₂) : eval₂Hom f (0 : σ → S₂) = f.comp constantCoeff := by
   ext <;> simp
 #align mv_polynomial.eval₂_hom_zero MvPolynomial.eval₂Hom_zero
 
+/- warning: mv_polynomial.eval₂_hom_zero' -> MvPolynomial.eval₂Hom_zero' is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {S₂ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_4 : CommSemiring.{u2} S₂] (f : RingHom.{u1, u2} R S₂ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4))), Eq.{max (succ (max u3 u1)) (succ u2)} (RingHom.{max u3 u1, u2} (MvPolynomial.{u3, u1} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4))) (MvPolynomial.eval₂Hom.{u1, u2, u3} R S₂ σ _inst_1 _inst_4 f (fun (_x : σ) => OfNat.ofNat.{u2} S₂ 0 (OfNat.mk.{u2} S₂ 0 (Zero.zero.{u2} S₂ (MulZeroClass.toHasZero.{u2} S₂ (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S₂ (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4))))))))) (RingHom.comp.{max u3 u1, u1, u2} (MvPolynomial.{u3, u1} σ R _inst_1) R S₂ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4)) f (MvPolynomial.constantCoeff.{u1, u3} R σ _inst_1))
+but is expected to have type
+  forall {R : Type.{u2}} {S₂ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_4 : CommSemiring.{u3} S₂] (f : RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))), Eq.{max (max (succ u2) (succ u3)) (succ u1)} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (MvPolynomial.eval₂Hom.{u2, u3, u1} R S₂ σ _inst_1 _inst_4 f (fun (_x : σ) => OfNat.ofNat.{u3} S₂ 0 (Zero.toOfNat0.{u3} S₂ (CommMonoidWithZero.toZero.{u3} S₂ (CommSemiring.toCommMonoidWithZero.{u3} S₂ _inst_4))))) (RingHom.comp.{max u1 u2, u2, u3} (MvPolynomial.{u1, u2} σ R _inst_1) R S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)) f (MvPolynomial.constantCoeff.{u2, u1} R σ _inst_1))
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval₂_hom_zero' MvPolynomial.eval₂Hom_zero'ₓ'. -/
 @[simp]
 theorem eval₂Hom_zero' (f : R →+* S₂) : eval₂Hom f (fun _ => 0 : σ → S₂) = f.comp constantCoeff :=
   eval₂Hom_zero f
 #align mv_polynomial.eval₂_hom_zero' MvPolynomial.eval₂Hom_zero'
 
+/- warning: mv_polynomial.eval₂_hom_zero_apply -> MvPolynomial.eval₂Hom_zero_apply is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {S₂ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_4 : CommSemiring.{u2} S₂] (f : RingHom.{u1, u2} R S₂ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4))) (p : MvPolynomial.{u3, u1} σ R _inst_1), Eq.{succ u2} S₂ (coeFn.{max (succ (max u3 u1)) (succ u2), max (succ (max u3 u1)) (succ u2)} (RingHom.{max u3 u1, u2} (MvPolynomial.{u3, u1} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4))) (fun (_x : RingHom.{max u3 u1, u2} (MvPolynomial.{u3, u1} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4))) => (MvPolynomial.{u3, u1} σ R _inst_1) -> S₂) (RingHom.hasCoeToFun.{max u3 u1, u2} (MvPolynomial.{u3, u1} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4))) (MvPolynomial.eval₂Hom.{u1, u2, u3} R S₂ σ _inst_1 _inst_4 f (OfNat.ofNat.{max u3 u2} (σ -> S₂) 0 (OfNat.mk.{max u3 u2} (σ -> S₂) 0 (Zero.zero.{max u3 u2} (σ -> S₂) (Pi.instZero.{u3, u2} σ (fun (ᾰ : σ) => S₂) (fun (i : σ) => MulZeroClass.toHasZero.{u2} S₂ (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S₂ (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4)))))))))) p) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R S₂ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4))) (fun (_x : RingHom.{u1, u2} R S₂ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4))) => R -> S₂) (RingHom.hasCoeToFun.{u1, u2} R S₂ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4))) f (coeFn.{max (succ (max u3 u1)) (succ u1), max (succ (max u3 u1)) (succ u1)} (RingHom.{max u3 u1, u1} (MvPolynomial.{u3, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (fun (_x : RingHom.{max u3 u1, u1} (MvPolynomial.{u3, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) => (MvPolynomial.{u3, u1} σ R _inst_1) -> R) (RingHom.hasCoeToFun.{max u3 u1, u1} (MvPolynomial.{u3, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.constantCoeff.{u1, u3} R σ _inst_1) p))
+but is expected to have type
+  forall {R : Type.{u2}} {S₂ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_4 : CommSemiring.{u3} S₂] (f : RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (p : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => S₂) p) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u2) (succ u1), succ u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => S₂) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u3} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)) (RingHom.instRingHomClassRingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)))))) (MvPolynomial.eval₂Hom.{u2, u3, u1} R S₂ σ _inst_1 _inst_4 f (OfNat.ofNat.{max u3 u1} (σ -> S₂) 0 (Zero.toOfNat0.{max u3 u1} (σ -> S₂) (Pi.instZero.{u1, u3} σ (fun (a._@.Mathlib.Data.MvPolynomial.Basic._hyg.20026 : σ) => S₂) (fun (i : σ) => CommMonoidWithZero.toZero.{u3} S₂ (CommSemiring.toCommMonoidWithZero.{u3} S₂ _inst_4)))))) p) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₂) _x) (MulHomClass.toFunLike.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) R S₂ (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) R S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)) (RingHom.instRingHomClassRingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)))))) f (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), succ u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) _x) (MulHomClass.toFunLike.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (RingHom.instRingHomClassRingHom.{max u1 u2, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))))) (MvPolynomial.constantCoeff.{u2, u1} R σ _inst_1) p))
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval₂_hom_zero_apply MvPolynomial.eval₂Hom_zero_applyₓ'. -/
 theorem eval₂Hom_zero_apply (f : R →+* S₂) (p : MvPolynomial σ R) :
     eval₂Hom f (0 : σ → S₂) p = f (constantCoeff p) :=
   RingHom.congr_fun (eval₂Hom_zero f) p
 #align mv_polynomial.eval₂_hom_zero_apply MvPolynomial.eval₂Hom_zero_apply
 
+/- warning: mv_polynomial.eval₂_hom_zero'_apply -> MvPolynomial.eval₂Hom_zero'_apply is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {S₂ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_4 : CommSemiring.{u2} S₂] (f : RingHom.{u1, u2} R S₂ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4))) (p : MvPolynomial.{u3, u1} σ R _inst_1), Eq.{succ u2} S₂ (coeFn.{max (succ (max u3 u1)) (succ u2), max (succ (max u3 u1)) (succ u2)} (RingHom.{max u3 u1, u2} (MvPolynomial.{u3, u1} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4))) (fun (_x : RingHom.{max u3 u1, u2} (MvPolynomial.{u3, u1} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4))) => (MvPolynomial.{u3, u1} σ R _inst_1) -> S₂) (RingHom.hasCoeToFun.{max u3 u1, u2} (MvPolynomial.{u3, u1} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4))) (MvPolynomial.eval₂Hom.{u1, u2, u3} R S₂ σ _inst_1 _inst_4 f (fun (_x : σ) => OfNat.ofNat.{u2} S₂ 0 (OfNat.mk.{u2} S₂ 0 (Zero.zero.{u2} S₂ (MulZeroClass.toHasZero.{u2} S₂ (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S₂ (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4))))))))) p) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R S₂ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4))) (fun (_x : RingHom.{u1, u2} R S₂ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4))) => R -> S₂) (RingHom.hasCoeToFun.{u1, u2} R S₂ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4))) f (coeFn.{max (succ (max u3 u1)) (succ u1), max (succ (max u3 u1)) (succ u1)} (RingHom.{max u3 u1, u1} (MvPolynomial.{u3, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (fun (_x : RingHom.{max u3 u1, u1} (MvPolynomial.{u3, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) => (MvPolynomial.{u3, u1} σ R _inst_1) -> R) (RingHom.hasCoeToFun.{max u3 u1, u1} (MvPolynomial.{u3, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.constantCoeff.{u1, u3} R σ _inst_1) p))
+but is expected to have type
+  forall {R : Type.{u2}} {S₂ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_4 : CommSemiring.{u3} S₂] (f : RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (p : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => S₂) p) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u2) (succ u1), succ u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => S₂) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u3} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)) (RingHom.instRingHomClassRingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)))))) (MvPolynomial.eval₂Hom.{u2, u3, u1} R S₂ σ _inst_1 _inst_4 f (fun (_x : σ) => OfNat.ofNat.{u3} S₂ 0 (Zero.toOfNat0.{u3} S₂ (CommMonoidWithZero.toZero.{u3} S₂ (CommSemiring.toCommMonoidWithZero.{u3} S₂ _inst_4))))) p) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₂) _x) (MulHomClass.toFunLike.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) R S₂ (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) R S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)) (RingHom.instRingHomClassRingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)))))) f (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), succ u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) _x) (MulHomClass.toFunLike.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (RingHom.instRingHomClassRingHom.{max u1 u2, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))))) (MvPolynomial.constantCoeff.{u2, u1} R σ _inst_1) p))
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval₂_hom_zero'_apply MvPolynomial.eval₂Hom_zero'_applyₓ'. -/
 theorem eval₂Hom_zero'_apply (f : R →+* S₂) (p : MvPolynomial σ R) :
     eval₂Hom f (fun _ => 0 : σ → S₂) p = f (constantCoeff p) :=
   eval₂Hom_zero_apply f p
 #align mv_polynomial.eval₂_hom_zero'_apply MvPolynomial.eval₂Hom_zero'_apply
 
+/- warning: mv_polynomial.eval₂_zero_apply -> MvPolynomial.eval₂_zero_apply is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {S₂ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_4 : CommSemiring.{u2} S₂] (f : RingHom.{u1, u2} R S₂ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4))) (p : MvPolynomial.{u3, u1} σ R _inst_1), Eq.{succ u2} S₂ (MvPolynomial.eval₂.{u1, u2, u3} R S₂ σ _inst_1 _inst_4 f (OfNat.ofNat.{max u3 u2} (σ -> S₂) 0 (OfNat.mk.{max u3 u2} (σ -> S₂) 0 (Zero.zero.{max u3 u2} (σ -> S₂) (Pi.instZero.{u3, u2} σ (fun (ᾰ : σ) => S₂) (fun (i : σ) => MulZeroClass.toHasZero.{u2} S₂ (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S₂ (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4))))))))) p) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R S₂ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4))) (fun (_x : RingHom.{u1, u2} R S₂ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4))) => R -> S₂) (RingHom.hasCoeToFun.{u1, u2} R S₂ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4))) f (coeFn.{max (succ (max u3 u1)) (succ u1), max (succ (max u3 u1)) (succ u1)} (RingHom.{max u3 u1, u1} (MvPolynomial.{u3, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (fun (_x : RingHom.{max u3 u1, u1} (MvPolynomial.{u3, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) => (MvPolynomial.{u3, u1} σ R _inst_1) -> R) (RingHom.hasCoeToFun.{max u3 u1, u1} (MvPolynomial.{u3, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.constantCoeff.{u1, u3} R σ _inst_1) p))
+but is expected to have type
+  forall {R : Type.{u2}} {S₂ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_4 : CommSemiring.{u3} S₂] (f : RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (p : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{succ u3} S₂ (MvPolynomial.eval₂.{u2, u3, u1} R S₂ σ _inst_1 _inst_4 f (OfNat.ofNat.{max u3 u1} (σ -> S₂) 0 (Zero.toOfNat0.{max u3 u1} (σ -> S₂) (Pi.instZero.{u1, u3} σ (fun (a._@.Mathlib.Data.MvPolynomial.Basic._hyg.20185 : σ) => S₂) (fun (i : σ) => CommMonoidWithZero.toZero.{u3} S₂ (CommSemiring.toCommMonoidWithZero.{u3} S₂ _inst_4))))) p) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₂) _x) (MulHomClass.toFunLike.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) R S₂ (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) R S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)) (RingHom.instRingHomClassRingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)))))) f (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), succ u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) _x) (MulHomClass.toFunLike.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (RingHom.instRingHomClassRingHom.{max u1 u2, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))))) (MvPolynomial.constantCoeff.{u2, u1} R σ _inst_1) p))
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval₂_zero_apply MvPolynomial.eval₂_zero_applyₓ'. -/
 @[simp]
 theorem eval₂_zero_apply (f : R →+* S₂) (p : MvPolynomial σ R) :
     eval₂ f (0 : σ → S₂) p = f (constantCoeff p) :=
   eval₂Hom_zero_apply _ _
 #align mv_polynomial.eval₂_zero_apply MvPolynomial.eval₂_zero_apply
 
+/- warning: mv_polynomial.eval₂_zero'_apply -> MvPolynomial.eval₂_zero'_apply is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {S₂ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_4 : CommSemiring.{u2} S₂] (f : RingHom.{u1, u2} R S₂ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4))) (p : MvPolynomial.{u3, u1} σ R _inst_1), Eq.{succ u2} S₂ (MvPolynomial.eval₂.{u1, u2, u3} R S₂ σ _inst_1 _inst_4 f (fun (_x : σ) => OfNat.ofNat.{u2} S₂ 0 (OfNat.mk.{u2} S₂ 0 (Zero.zero.{u2} S₂ (MulZeroClass.toHasZero.{u2} S₂ (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S₂ (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4)))))))) p) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R S₂ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4))) (fun (_x : RingHom.{u1, u2} R S₂ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4))) => R -> S₂) (RingHom.hasCoeToFun.{u1, u2} R S₂ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4))) f (coeFn.{max (succ (max u3 u1)) (succ u1), max (succ (max u3 u1)) (succ u1)} (RingHom.{max u3 u1, u1} (MvPolynomial.{u3, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (fun (_x : RingHom.{max u3 u1, u1} (MvPolynomial.{u3, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) => (MvPolynomial.{u3, u1} σ R _inst_1) -> R) (RingHom.hasCoeToFun.{max u3 u1, u1} (MvPolynomial.{u3, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.constantCoeff.{u1, u3} R σ _inst_1) p))
+but is expected to have type
+  forall {R : Type.{u2}} {S₂ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_4 : CommSemiring.{u3} S₂] (f : RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (p : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{succ u3} S₂ (MvPolynomial.eval₂.{u2, u3, u1} R S₂ σ _inst_1 _inst_4 f (fun (_x : σ) => OfNat.ofNat.{u3} S₂ 0 (Zero.toOfNat0.{u3} S₂ (CommMonoidWithZero.toZero.{u3} S₂ (CommSemiring.toCommMonoidWithZero.{u3} S₂ _inst_4)))) p) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₂) _x) (MulHomClass.toFunLike.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) R S₂ (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) R S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)) (RingHom.instRingHomClassRingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)))))) f (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), succ u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) _x) (MulHomClass.toFunLike.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (RingHom.instRingHomClassRingHom.{max u1 u2, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))))) (MvPolynomial.constantCoeff.{u2, u1} R σ _inst_1) p))
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval₂_zero'_apply MvPolynomial.eval₂_zero'_applyₓ'. -/
 @[simp]
 theorem eval₂_zero'_apply (f : R →+* S₂) (p : MvPolynomial σ R) :
     eval₂ f (fun _ => 0 : σ → S₂) p = f (constantCoeff p) :=
   eval₂_zero_apply f p
 #align mv_polynomial.eval₂_zero'_apply MvPolynomial.eval₂_zero'_apply
 
+/- warning: mv_polynomial.aeval_zero -> MvPolynomial.aeval_zero is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {S₁ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] [_inst_3 : Algebra.{u1, u2} R S₁ _inst_1 (CommSemiring.toSemiring.{u2} S₁ _inst_2)] (p : MvPolynomial.{u3, u1} σ R _inst_1), Eq.{succ u2} S₁ (coeFn.{max (succ (max u3 u1)) (succ u2), max (succ (max u3 u1)) (succ u2)} (AlgHom.{u1, max u3 u1, u2} R (MvPolynomial.{u3, u1} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (CommSemiring.toSemiring.{u2} S₁ _inst_2) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_3) (fun (_x : AlgHom.{u1, max u3 u1, u2} R (MvPolynomial.{u3, u1} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (CommSemiring.toSemiring.{u2} S₁ _inst_2) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_3) => (MvPolynomial.{u3, u1} σ R _inst_1) -> S₁) ([anonymous].{u1, max u3 u1, u2} R (MvPolynomial.{u3, u1} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (CommSemiring.toSemiring.{u2} S₁ _inst_2) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_3) (MvPolynomial.aeval.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 _inst_3 (OfNat.ofNat.{max u3 u2} (σ -> S₁) 0 (OfNat.mk.{max u3 u2} (σ -> S₁) 0 (Zero.zero.{max u3 u2} (σ -> S₁) (Pi.instZero.{u3, u2} σ (fun (ᾰ : σ) => S₁) (fun (i : σ) => MulZeroClass.toHasZero.{u2} S₁ (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S₁ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)))))))))) p) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (fun (_x : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) => R -> S₁) (RingHom.hasCoeToFun.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (algebraMap.{u1, u2} R S₁ _inst_1 (CommSemiring.toSemiring.{u2} S₁ _inst_2) _inst_3) (coeFn.{max (succ (max u3 u1)) (succ u1), max (succ (max u3 u1)) (succ u1)} (RingHom.{max u3 u1, u1} (MvPolynomial.{u3, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (fun (_x : RingHom.{max u3 u1, u1} (MvPolynomial.{u3, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) => (MvPolynomial.{u3, u1} σ R _inst_1) -> R) (RingHom.hasCoeToFun.{max u3 u1, u1} (MvPolynomial.{u3, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.constantCoeff.{u1, u3} R σ _inst_1) p))
+but is expected to have type
+  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] [_inst_3 : Algebra.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2)] (p : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u1, u2} σ R _inst_1) => S₁) p) (FunLike.coe.{max (max (succ u3) (succ u1)) (succ u2), max (succ u1) (succ u2), succ u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u1, u2} σ R _inst_1) => S₁) _x) (SMulHomClass.toFunLike.{max (max u3 u1) u2, u2, max u1 u2, u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (SMulZeroClass.toSMul.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (AddMonoid.toZero.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (DistribSMul.toSMulZeroClass.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (DistribMulAction.toDistribSMul.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))))))) (SMulZeroClass.toSMul.{u2, u3} R S₁ (AddMonoid.toZero.{u3} S₁ (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (DistribSMul.toSMulZeroClass.{u2, u3} R S₁ (AddMonoid.toAddZeroClass.{u3} S₁ (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (DistribMulAction.toDistribSMul.{u2, u3} R S₁ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))))) (Module.toDistribMulAction.{u2, u3} R S₁ (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (Algebra.toModule.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3))))) (DistribMulActionHomClass.toSMulHomClass.{max (max u3 u1) u2, u2, max u1 u2, u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (Module.toDistribMulAction.{u2, u3} R S₁ (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (Algebra.toModule.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max (max u3 u1) u2, u2, max u1 u2, u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (Module.toDistribMulAction.{u2, u3} R S₁ (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (Algebra.toModule.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u2, max u1 u2, u3, max (max u3 u1) u2} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3 (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) (AlgHom.algHomClass.{u2, max u1 u2, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3))))) (MvPolynomial.aeval.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 _inst_3 (OfNat.ofNat.{max u3 u1} (σ -> S₁) 0 (Zero.toOfNat0.{max u3 u1} (σ -> S₁) (Pi.instZero.{u1, u3} σ (fun (a._@.Mathlib.Data.MvPolynomial.Basic._hyg.20333 : σ) => S₁) (fun (i : σ) => CommMonoidWithZero.toZero.{u3} S₁ (CommSemiring.toCommMonoidWithZero.{u3} S₁ _inst_2)))))) p) (FunLike.coe.{max (succ u3) (succ u2), succ u2, succ u3} (RingHom.{u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (fun (_x : (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) => S₁) _x) (MulHomClass.toFunLike.{max u3 u2, u2, u3} (RingHom.{u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (NonUnitalNonAssocSemiring.toMul.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u3 u2, u2, u3} (RingHom.{u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u3 u2, u2, u3} (RingHom.{u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (algebraMap.{u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3) (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), succ u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) _x) (MulHomClass.toFunLike.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (RingHom.instRingHomClassRingHom.{max u1 u2, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))))) (MvPolynomial.constantCoeff.{u2, u1} R σ _inst_1) p))
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.aeval_zero MvPolynomial.aeval_zeroₓ'. -/
 @[simp]
 theorem aeval_zero (p : MvPolynomial σ R) :
     aeval (0 : σ → S₁) p = algebraMap _ _ (constantCoeff p) :=
   eval₂Hom_zero_apply (algebraMap R S₁) p
 #align mv_polynomial.aeval_zero MvPolynomial.aeval_zero
 
+/- warning: mv_polynomial.aeval_zero' -> MvPolynomial.aeval_zero' is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {S₁ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] [_inst_3 : Algebra.{u1, u2} R S₁ _inst_1 (CommSemiring.toSemiring.{u2} S₁ _inst_2)] (p : MvPolynomial.{u3, u1} σ R _inst_1), Eq.{succ u2} S₁ (coeFn.{max (succ (max u3 u1)) (succ u2), max (succ (max u3 u1)) (succ u2)} (AlgHom.{u1, max u3 u1, u2} R (MvPolynomial.{u3, u1} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (CommSemiring.toSemiring.{u2} S₁ _inst_2) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_3) (fun (_x : AlgHom.{u1, max u3 u1, u2} R (MvPolynomial.{u3, u1} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (CommSemiring.toSemiring.{u2} S₁ _inst_2) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_3) => (MvPolynomial.{u3, u1} σ R _inst_1) -> S₁) ([anonymous].{u1, max u3 u1, u2} R (MvPolynomial.{u3, u1} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (CommSemiring.toSemiring.{u2} S₁ _inst_2) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_3) (MvPolynomial.aeval.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 _inst_3 (fun (_x : σ) => OfNat.ofNat.{u2} S₁ 0 (OfNat.mk.{u2} S₁ 0 (Zero.zero.{u2} S₁ (MulZeroClass.toHasZero.{u2} S₁ (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S₁ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))))))))) p) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (fun (_x : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) => R -> S₁) (RingHom.hasCoeToFun.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (algebraMap.{u1, u2} R S₁ _inst_1 (CommSemiring.toSemiring.{u2} S₁ _inst_2) _inst_3) (coeFn.{max (succ (max u3 u1)) (succ u1), max (succ (max u3 u1)) (succ u1)} (RingHom.{max u3 u1, u1} (MvPolynomial.{u3, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (fun (_x : RingHom.{max u3 u1, u1} (MvPolynomial.{u3, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) => (MvPolynomial.{u3, u1} σ R _inst_1) -> R) (RingHom.hasCoeToFun.{max u3 u1, u1} (MvPolynomial.{u3, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.constantCoeff.{u1, u3} R σ _inst_1) p))
+but is expected to have type
+  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] [_inst_3 : Algebra.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2)] (p : MvPolynomial.{u1, u2} σ R _inst_1), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u1, u2} σ R _inst_1) => S₁) p) (FunLike.coe.{max (max (succ u3) (succ u1)) (succ u2), max (succ u1) (succ u2), succ u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u1, u2} σ R _inst_1) => S₁) _x) (SMulHomClass.toFunLike.{max (max u3 u1) u2, u2, max u1 u2, u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (SMulZeroClass.toSMul.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (AddMonoid.toZero.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (DistribSMul.toSMulZeroClass.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (DistribMulAction.toDistribSMul.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))))))) (SMulZeroClass.toSMul.{u2, u3} R S₁ (AddMonoid.toZero.{u3} S₁ (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (DistribSMul.toSMulZeroClass.{u2, u3} R S₁ (AddMonoid.toAddZeroClass.{u3} S₁ (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (DistribMulAction.toDistribSMul.{u2, u3} R S₁ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))))) (Module.toDistribMulAction.{u2, u3} R S₁ (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (Algebra.toModule.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3))))) (DistribMulActionHomClass.toSMulHomClass.{max (max u3 u1) u2, u2, max u1 u2, u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (Module.toDistribMulAction.{u2, u3} R S₁ (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (Algebra.toModule.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max (max u3 u1) u2, u2, max u1 u2, u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (Module.toDistribMulAction.{u2, u3} R S₁ (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (Algebra.toModule.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u2, max u1 u2, u3, max (max u3 u1) u2} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3 (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) (AlgHom.algHomClass.{u2, max u1 u2, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3))))) (MvPolynomial.aeval.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 _inst_3 (fun (_x : σ) => OfNat.ofNat.{u3} S₁ 0 (Zero.toOfNat0.{u3} S₁ (CommMonoidWithZero.toZero.{u3} S₁ (CommSemiring.toCommMonoidWithZero.{u3} S₁ _inst_2))))) p) (FunLike.coe.{max (succ u3) (succ u2), succ u2, succ u3} (RingHom.{u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (fun (_x : (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) => S₁) _x) (MulHomClass.toFunLike.{max u3 u2, u2, u3} (RingHom.{u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (NonUnitalNonAssocSemiring.toMul.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u3 u2, u2, u3} (RingHom.{u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u3 u2, u2, u3} (RingHom.{u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (algebraMap.{u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) p) S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3) (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), succ u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => R) _x) (MulHomClass.toFunLike.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, max u1 u2, u2} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (RingHom.instRingHomClassRingHom.{max u1 u2, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))))) (MvPolynomial.constantCoeff.{u2, u1} R σ _inst_1) p))
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.aeval_zero' MvPolynomial.aeval_zero'ₓ'. -/
 @[simp]
 theorem aeval_zero' (p : MvPolynomial σ R) :
     aeval (fun _ => 0 : σ → S₁) p = algebraMap _ _ (constantCoeff p) :=
   aeval_zero p
 #align mv_polynomial.aeval_zero' MvPolynomial.aeval_zero'
 
+/- warning: mv_polynomial.eval_zero -> MvPolynomial.eval_zero is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R], Eq.{max (succ (max u2 u1)) (succ u1)} (RingHom.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.eval.{u1, u2} R σ _inst_1 (OfNat.ofNat.{max u2 u1} (σ -> R) 0 (OfNat.mk.{max u2 u1} (σ -> R) 0 (Zero.zero.{max u2 u1} (σ -> R) (Pi.instZero.{u2, u1} σ (fun (ᾰ : σ) => R) (fun (i : σ) => MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))))))) (MvPolynomial.constantCoeff.{u1, u2} R σ _inst_1)
+but is expected to have type
+  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R], Eq.{max (succ u2) (succ u1)} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.eval.{u2, u1} R σ _inst_1 (OfNat.ofNat.{max u2 u1} (σ -> R) 0 (Zero.toOfNat0.{max u2 u1} (σ -> R) (Pi.instZero.{u1, u2} σ (fun (a._@.Mathlib.Data.MvPolynomial.Basic._hyg.20481 : σ) => R) (fun (i : σ) => CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1)))))) (MvPolynomial.constantCoeff.{u2, u1} R σ _inst_1)
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval_zero MvPolynomial.eval_zeroₓ'. -/
 @[simp]
 theorem eval_zero : eval (0 : σ → R) = constantCoeff :=
   eval₂Hom_zero _
 #align mv_polynomial.eval_zero MvPolynomial.eval_zero
 
+/- warning: mv_polynomial.eval_zero' -> MvPolynomial.eval_zero' is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R], Eq.{max (succ (max u2 u1)) (succ u1)} (RingHom.{max u2 u1, u1} (MvPolynomial.{u2, u1} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MvPolynomial.eval.{u1, u2} R σ _inst_1 (fun (_x : σ) => OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))))))) (MvPolynomial.constantCoeff.{u1, u2} R σ _inst_1)
+but is expected to have type
+  forall {R : Type.{u2}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R], Eq.{max (succ u2) (succ u1)} (RingHom.{max u2 u1, u2} (MvPolynomial.{u1, u2} σ R _inst_1) R (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (MvPolynomial.eval.{u2, u1} R σ _inst_1 (fun (_x : σ) => OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))))) (MvPolynomial.constantCoeff.{u2, u1} R σ _inst_1)
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval_zero' MvPolynomial.eval_zero'ₓ'. -/
 @[simp]
 theorem eval_zero' : eval (fun _ => 0 : σ → R) = constantCoeff :=
   eval₂Hom_zero _
 #align mv_polynomial.eval_zero' MvPolynomial.eval_zero'
 
+/- warning: mv_polynomial.aeval_monomial -> MvPolynomial.aeval_monomial is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {S₁ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] [_inst_3 : Algebra.{u1, u2} R S₁ _inst_1 (CommSemiring.toSemiring.{u2} S₁ _inst_2)] (g : σ -> S₁) (d : Finsupp.{u3, 0} σ Nat Nat.hasZero) (r : R), Eq.{succ u2} S₁ (coeFn.{max (succ (max u3 u1)) (succ u2), max (succ (max u3 u1)) (succ u2)} (AlgHom.{u1, max u3 u1, u2} R (MvPolynomial.{u3, u1} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (CommSemiring.toSemiring.{u2} S₁ _inst_2) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_3) (fun (_x : AlgHom.{u1, max u3 u1, u2} R (MvPolynomial.{u3, u1} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (CommSemiring.toSemiring.{u2} S₁ _inst_2) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_3) => (MvPolynomial.{u3, u1} σ R _inst_1) -> S₁) ([anonymous].{u1, max u3 u1, u2} R (MvPolynomial.{u3, u1} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (CommSemiring.toSemiring.{u2} S₁ _inst_2) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_3) (MvPolynomial.aeval.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 _inst_3 g) (coeFn.{max (succ u1) (succ (max u3 u1)), max (succ u1) (succ (max u3 u1))} (LinearMap.{u1, u1, u1, max u3 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u3, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (_x : LinearMap.{u1, u1, u1, max u3 u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (MvPolynomial.{u3, u1} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) => R -> (MvPolynomial.{u3, u1} σ R _inst_1)) (LinearMap.hasCoeToFun.{u1, u1, u1, max u3 u1} R R R (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MvPolynomial.module.{u1, u1, u3} R R σ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_1 (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (MvPolynomial.monomial.{u1, u3} R σ _inst_1 d) r)) (HMul.hMul.{u2, u2, u2} S₁ S₁ S₁ (instHMul.{u2} S₁ (Distrib.toHasMul.{u2} S₁ (NonUnitalNonAssocSemiring.toDistrib.{u2} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S₁ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)))))) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (fun (_x : RingHom.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) => R -> S₁) (RingHom.hasCoeToFun.{u1, u2} R S₁ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))) (algebraMap.{u1, u2} R S₁ _inst_1 (CommSemiring.toSemiring.{u2} S₁ _inst_2) _inst_3) r) (Finsupp.prod.{u3, 0, u2} σ Nat S₁ Nat.hasZero (CommSemiring.toCommMonoid.{u2} S₁ _inst_2) d (fun (i : σ) (k : Nat) => HPow.hPow.{u2, 0, u2} S₁ Nat S₁ (instHPow.{u2, 0} S₁ Nat (Monoid.Pow.{u2} S₁ (MonoidWithZero.toMonoid.{u2} S₁ (Semiring.toMonoidWithZero.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2))))) (g i) k)))
+but is expected to have type
+  forall {R : Type.{u2}} {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] [_inst_3 : Algebra.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2)] (g : σ -> S₁) (d : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) (r : R), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u1, u2} σ R _inst_1) => S₁) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (a : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 d) r)) (FunLike.coe.{max (max (succ u3) (succ u1)) (succ u2), max (succ u1) (succ u2), succ u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u1, u2} σ R _inst_1) => S₁) _x) (SMulHomClass.toFunLike.{max (max u3 u1) u2, u2, max u1 u2, u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (SMulZeroClass.toSMul.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (AddMonoid.toZero.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (DistribSMul.toSMulZeroClass.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (DistribMulAction.toDistribSMul.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))))))) (SMulZeroClass.toSMul.{u2, u3} R S₁ (AddMonoid.toZero.{u3} S₁ (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (DistribSMul.toSMulZeroClass.{u2, u3} R S₁ (AddMonoid.toAddZeroClass.{u3} S₁ (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (DistribMulAction.toDistribSMul.{u2, u3} R S₁ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))))) (Module.toDistribMulAction.{u2, u3} R S₁ (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (Algebra.toModule.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3))))) (DistribMulActionHomClass.toSMulHomClass.{max (max u3 u1) u2, u2, max u1 u2, u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (AddCommMonoid.toAddMonoid.{u3} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (Module.toDistribMulAction.{u2, u3} R S₁ (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (Algebra.toModule.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max (max u3 u1) u2, u2, max u1 u2, u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (Module.toDistribMulAction.{u2, u3} R S₁ (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (Algebra.toModule.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u2, max u1 u2, u3, max (max u3 u1) u2} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3 (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3) (AlgHom.algHomClass.{u2, max u1 u2, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_3))))) (MvPolynomial.aeval.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 _inst_3 g) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 d) r)) (HMul.hMul.{u3, u3, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) S₁ ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u1, u2} σ R _inst_1) => S₁) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (LinearMap.{u2, u2, u2, max u2 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) R (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) R (fun (a : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => MvPolynomial.{u1, u2} σ R _inst_1) a) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, max u1 u2} R R R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MvPolynomial.module.{u2, u2, u1} R R σ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_1 (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (MvPolynomial.monomial.{u2, u1} R σ _inst_1 d) r)) (instHMul.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) (NonUnitalNonAssocSemiring.toMul.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) (Semiring.toNonAssocSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) (CommSemiring.toSemiring.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) r) _inst_2))))) (FunLike.coe.{max (succ u3) (succ u2), succ u2, succ u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S₁) _x) (MulHomClass.toFunLike.{max u3 u2, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u3 u2, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₁ (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u3 u2, u2, u3} (RingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))) R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)) (RingHom.instRingHomClassRingHom.{u2, u3} R S₁ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2)))))) (algebraMap.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3) r) (Finsupp.prod.{u1, 0, u3} σ Nat S₁ (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) (CommSemiring.toCommMonoid.{u3} S₁ _inst_2) d (fun (i : σ) (k : Nat) => HPow.hPow.{u3, 0, u3} S₁ Nat S₁ (instHPow.{u3, 0} S₁ Nat (Monoid.Pow.{u3} S₁ (MonoidWithZero.toMonoid.{u3} S₁ (Semiring.toMonoidWithZero.{u3} S₁ (CommSemiring.toSemiring.{u3} S₁ _inst_2))))) (g i) k)))
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.aeval_monomial MvPolynomial.aeval_monomialₓ'. -/
 theorem aeval_monomial (g : σ → S₁) (d : σ →₀ ℕ) (r : R) :
     aeval g (monomial d r) = algebraMap _ _ r * d.Prod fun i k => g i ^ k :=
   eval₂Hom_monomial _ _ _ _
 #align mv_polynomial.aeval_monomial MvPolynomial.aeval_monomial
 
+/- warning: mv_polynomial.eval₂_hom_eq_zero -> MvPolynomial.eval₂Hom_eq_zero is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {S₂ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_4 : CommSemiring.{u2} S₂] (f : RingHom.{u1, u2} R S₂ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4))) (g : σ -> S₂) (φ : MvPolynomial.{u3, u1} σ R _inst_1), (forall (d : Finsupp.{u3, 0} σ Nat Nat.hasZero), (Ne.{succ u1} R (MvPolynomial.coeff.{u1, u3} R σ _inst_1 d φ) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))))))) -> (Exists.{succ u3} σ (fun (i : σ) => Exists.{0} (Membership.Mem.{u3, u3} σ (Finset.{u3} σ) (Finset.hasMem.{u3} σ) i (Finsupp.support.{u3, 0} σ Nat Nat.hasZero d)) (fun (H : Membership.Mem.{u3, u3} σ (Finset.{u3} σ) (Finset.hasMem.{u3} σ) i (Finsupp.support.{u3, 0} σ Nat Nat.hasZero d)) => Eq.{succ u2} S₂ (g i) (OfNat.ofNat.{u2} S₂ 0 (OfNat.mk.{u2} S₂ 0 (Zero.zero.{u2} S₂ (MulZeroClass.toHasZero.{u2} S₂ (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S₂ (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4)))))))))))) -> (Eq.{succ u2} S₂ (coeFn.{max (succ (max u3 u1)) (succ u2), max (succ (max u3 u1)) (succ u2)} (RingHom.{max u3 u1, u2} (MvPolynomial.{u3, u1} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4))) (fun (_x : RingHom.{max u3 u1, u2} (MvPolynomial.{u3, u1} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4))) => (MvPolynomial.{u3, u1} σ R _inst_1) -> S₂) (RingHom.hasCoeToFun.{max u3 u1, u2} (MvPolynomial.{u3, u1} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4))) (MvPolynomial.eval₂Hom.{u1, u2, u3} R S₂ σ _inst_1 _inst_4 f g) φ) (OfNat.ofNat.{u2} S₂ 0 (OfNat.mk.{u2} S₂ 0 (Zero.zero.{u2} S₂ (MulZeroClass.toHasZero.{u2} S₂ (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S₂ (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4)))))))))
+but is expected to have type
+  forall {R : Type.{u2}} {S₂ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_4 : CommSemiring.{u3} S₂] (f : RingHom.{u2, u3} R S₂ (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (g : σ -> S₂) (φ : MvPolynomial.{u1, u2} σ R _inst_1), (forall (d : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)), (Ne.{succ u2} R (MvPolynomial.coeff.{u2, u1} R σ _inst_1 d φ) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))))) -> (Exists.{succ u1} σ (fun (i : σ) => And (Membership.mem.{u1, u1} σ (Finset.{u1} σ) (Finset.instMembershipFinset.{u1} σ) i (Finsupp.support.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) d)) (Eq.{succ u3} S₂ (g i) (OfNat.ofNat.{u3} S₂ 0 (Zero.toOfNat0.{u3} S₂ (CommMonoidWithZero.toZero.{u3} S₂ (CommSemiring.toCommMonoidWithZero.{u3} S₂ _inst_4)))))))) -> (Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => S₂) φ) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), max (succ u2) (succ u1), succ u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => S₂) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (NonUnitalNonAssocSemiring.toMul.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u3} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, max u2 u1, u3} (RingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)) (RingHom.instRingHomClassRingHom.{max u2 u1, u3} (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)))))) (MvPolynomial.eval₂Hom.{u2, u3, u1} R S₂ σ _inst_1 _inst_4 f g) φ) (OfNat.ofNat.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => S₂) φ) 0 (Zero.toOfNat0.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => S₂) φ) (CommMonoidWithZero.toZero.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => S₂) φ) (CommSemiring.toCommMonoidWithZero.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : MvPolynomial.{u1, u2} σ R _inst_1) => S₂) φ) _inst_4)))))
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.eval₂_hom_eq_zero MvPolynomial.eval₂Hom_eq_zeroₓ'. -/
 theorem eval₂Hom_eq_zero (f : R →+* S₂) (g : σ → S₂) (φ : MvPolynomial σ R)
     (h : ∀ d, φ.coeff d ≠ 0 → ∃ i ∈ d.support, g i = 0) : eval₂Hom f g φ = 0 :=
   by
@@ -1509,16 +2681,34 @@ theorem eval₂Hom_eq_zero (f : R →+* S₂) (g : σ → S₂) (φ : MvPolynomi
   rwa [pos_iff_ne_zero, ← Finsupp.mem_support_iff]
 #align mv_polynomial.eval₂_hom_eq_zero MvPolynomial.eval₂Hom_eq_zero
 
+/- warning: mv_polynomial.aeval_eq_zero -> MvPolynomial.aeval_eq_zero is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {S₂ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_4 : CommSemiring.{u2} S₂] [_inst_5 : Algebra.{u1, u2} R S₂ _inst_1 (CommSemiring.toSemiring.{u2} S₂ _inst_4)] (f : σ -> S₂) (φ : MvPolynomial.{u3, u1} σ R _inst_1), (forall (d : Finsupp.{u3, 0} σ Nat Nat.hasZero), (Ne.{succ u1} R (MvPolynomial.coeff.{u1, u3} R σ _inst_1 d φ) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))))))) -> (Exists.{succ u3} σ (fun (i : σ) => Exists.{0} (Membership.Mem.{u3, u3} σ (Finset.{u3} σ) (Finset.hasMem.{u3} σ) i (Finsupp.support.{u3, 0} σ Nat Nat.hasZero d)) (fun (H : Membership.Mem.{u3, u3} σ (Finset.{u3} σ) (Finset.hasMem.{u3} σ) i (Finsupp.support.{u3, 0} σ Nat Nat.hasZero d)) => Eq.{succ u2} S₂ (f i) (OfNat.ofNat.{u2} S₂ 0 (OfNat.mk.{u2} S₂ 0 (Zero.zero.{u2} S₂ (MulZeroClass.toHasZero.{u2} S₂ (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S₂ (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4)))))))))))) -> (Eq.{succ u2} S₂ (coeFn.{max (succ (max u3 u1)) (succ u2), max (succ (max u3 u1)) (succ u2)} (AlgHom.{u1, max u3 u1, u2} R (MvPolynomial.{u3, u1} σ R _inst_1) S₂ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (CommSemiring.toSemiring.{u2} S₂ _inst_4) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_5) (fun (_x : AlgHom.{u1, max u3 u1, u2} R (MvPolynomial.{u3, u1} σ R _inst_1) S₂ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (CommSemiring.toSemiring.{u2} S₂ _inst_4) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_5) => (MvPolynomial.{u3, u1} σ R _inst_1) -> S₂) ([anonymous].{u1, max u3 u1, u2} R (MvPolynomial.{u3, u1} σ R _inst_1) S₂ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (CommSemiring.toSemiring.{u2} S₂ _inst_4) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_5) (MvPolynomial.aeval.{u1, u2, u3} R S₂ σ _inst_1 _inst_4 _inst_5 f) φ) (OfNat.ofNat.{u2} S₂ 0 (OfNat.mk.{u2} S₂ 0 (Zero.zero.{u2} S₂ (MulZeroClass.toHasZero.{u2} S₂ (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S₂ (Semiring.toNonAssocSemiring.{u2} S₂ (CommSemiring.toSemiring.{u2} S₂ _inst_4)))))))))
+but is expected to have type
+  forall {R : Type.{u2}} {S₂ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_4 : CommSemiring.{u3} S₂] [_inst_5 : Algebra.{u2, u3} R S₂ _inst_1 (CommSemiring.toSemiring.{u3} S₂ _inst_4)] (f : σ -> S₂) (φ : MvPolynomial.{u1, u2} σ R _inst_1), (forall (d : Finsupp.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)), (Ne.{succ u2} R (MvPolynomial.coeff.{u2, u1} R σ _inst_1 d φ) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))))) -> (Exists.{succ u1} σ (fun (i : σ) => And (Membership.mem.{u1, u1} σ (Finset.{u1} σ) (Finset.instMembershipFinset.{u1} σ) i (Finsupp.support.{u1, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) d)) (Eq.{succ u3} S₂ (f i) (OfNat.ofNat.{u3} S₂ 0 (Zero.toOfNat0.{u3} S₂ (CommMonoidWithZero.toZero.{u3} S₂ (CommSemiring.toCommMonoidWithZero.{u3} S₂ _inst_4)))))))) -> (Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u1, u2} σ R _inst_1) => S₂) φ) (FunLike.coe.{max (max (succ u3) (succ u1)) (succ u2), max (succ u1) (succ u2), succ u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₂ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₂ _inst_4) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_5) (MvPolynomial.{u1, u2} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u2} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u1, u2} σ R _inst_1) => S₂) _x) (SMulHomClass.toFunLike.{max (max u3 u1) u2, u2, max u1 u2, u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₂ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₂ _inst_4) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_5) R (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (SMulZeroClass.toSMul.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (AddMonoid.toZero.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (DistribSMul.toSMulZeroClass.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))))) (DistribMulAction.toDistribSMul.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1))))))) (SMulZeroClass.toSMul.{u2, u3} R S₂ (AddMonoid.toZero.{u3} S₂ (AddCommMonoid.toAddMonoid.{u3} S₂ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)))))) (DistribSMul.toSMulZeroClass.{u2, u3} R S₂ (AddMonoid.toAddZeroClass.{u3} S₂ (AddCommMonoid.toAddMonoid.{u3} S₂ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)))))) (DistribMulAction.toDistribSMul.{u2, u3} R S₂ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{u3} S₂ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))))) (Module.toDistribMulAction.{u2, u3} R S₂ (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)))) (Algebra.toModule.{u2, u3} R S₂ _inst_1 (CommSemiring.toSemiring.{u3} S₂ _inst_4) _inst_5))))) (DistribMulActionHomClass.toSMulHomClass.{max (max u3 u1) u2, u2, max u1 u2, u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₂ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₂ _inst_4) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_5) R (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))))) (AddCommMonoid.toAddMonoid.{u3} S₂ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (Module.toDistribMulAction.{u2, u3} R S₂ (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)))) (Algebra.toModule.{u2, u3} R S₂ _inst_1 (CommSemiring.toSemiring.{u3} S₂ _inst_4) _inst_5)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max (max u3 u1) u2, u2, max u1 u2, u3} (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₂ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₂ _inst_4) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_5) R (MvPolynomial.{u1, u2} σ R _inst_1) S₂ (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4))) (Module.toDistribMulAction.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1))))) (Algebra.toModule.{u2, max u1 u2} R (MvPolynomial.{u1, u2} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)))) (Module.toDistribMulAction.{u2, u3} R S₂ (CommSemiring.toSemiring.{u2} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} S₂ (Semiring.toNonAssocSemiring.{u3} S₂ (CommSemiring.toSemiring.{u3} S₂ _inst_4)))) (Algebra.toModule.{u2, u3} R S₂ _inst_1 (CommSemiring.toSemiring.{u3} S₂ _inst_4) _inst_5)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u2, max u1 u2, u3, max (max u3 u1) u2} R (MvPolynomial.{u1, u2} σ R _inst_1) S₂ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₂ _inst_4) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_5 (AlgHom.{u2, max u2 u1, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₂ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₂ _inst_4) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_5) (AlgHom.algHomClass.{u2, max u1 u2, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₂ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} S₂ _inst_4) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) _inst_5))))) (MvPolynomial.aeval.{u2, u3, u1} R S₂ σ _inst_1 _inst_4 _inst_5 f) φ) (OfNat.ofNat.{u3} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u1, u2} σ R _inst_1) => S₂) φ) 0 (Zero.toOfNat0.{u3} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u1, u2} σ R _inst_1) => S₂) φ) (CommMonoidWithZero.toZero.{u3} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u1, u2} σ R _inst_1) => S₂) φ) (CommSemiring.toCommMonoidWithZero.{u3} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u1, u2} σ R _inst_1) => S₂) φ) _inst_4)))))
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.aeval_eq_zero MvPolynomial.aeval_eq_zeroₓ'. -/
 theorem aeval_eq_zero [Algebra R S₂] (f : σ → S₂) (φ : MvPolynomial σ R)
     (h : ∀ d, φ.coeff d ≠ 0 → ∃ i ∈ d.support, f i = 0) : aeval f φ = 0 :=
   eval₂Hom_eq_zero _ _ _ h
 #align mv_polynomial.aeval_eq_zero MvPolynomial.aeval_eq_zero
 
+/- warning: mv_polynomial.aeval_sum -> MvPolynomial.aeval_sum is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {S₁ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] [_inst_3 : Algebra.{u1, u2} R S₁ _inst_1 (CommSemiring.toSemiring.{u2} S₁ _inst_2)] (f : σ -> S₁) {ι : Type.{u4}} (s : Finset.{u4} ι) (φ : ι -> (MvPolynomial.{u3, u1} σ R _inst_1)), Eq.{succ u2} S₁ (coeFn.{max (succ (max u3 u1)) (succ u2), max (succ (max u3 u1)) (succ u2)} (AlgHom.{u1, max u3 u1, u2} R (MvPolynomial.{u3, u1} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (CommSemiring.toSemiring.{u2} S₁ _inst_2) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_3) (fun (_x : AlgHom.{u1, max u3 u1, u2} R (MvPolynomial.{u3, u1} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (CommSemiring.toSemiring.{u2} S₁ _inst_2) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_3) => (MvPolynomial.{u3, u1} σ R _inst_1) -> S₁) ([anonymous].{u1, max u3 u1, u2} R (MvPolynomial.{u3, u1} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (CommSemiring.toSemiring.{u2} S₁ _inst_2) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_3) (MvPolynomial.aeval.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 _inst_3 f) (Finset.sum.{max u3 u1, u4} (MvPolynomial.{u3, u1} σ R _inst_1) ι (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1))))) s (fun (i : ι) => φ i))) (Finset.sum.{u2, u4} S₁ ι (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S₁ (Semiring.toNonAssocSemiring.{u2} S₁ (CommSemiring.toSemiring.{u2} S₁ _inst_2)))) s (fun (i : ι) => coeFn.{max (succ (max u3 u1)) (succ u2), max (succ (max u3 u1)) (succ u2)} (AlgHom.{u1, max u3 u1, u2} R (MvPolynomial.{u3, u1} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (CommSemiring.toSemiring.{u2} S₁ _inst_2) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_3) (fun (_x : AlgHom.{u1, max u3 u1, u2} R (MvPolynomial.{u3, u1} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (CommSemiring.toSemiring.{u2} S₁ _inst_2) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_3) => (MvPolynomial.{u3, u1} σ R _inst_1) -> S₁) ([anonymous].{u1, max u3 u1, u2} R (MvPolynomial.{u3, u1} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (CommSemiring.toSemiring.{u2} S₁ _inst_2) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_3) (MvPolynomial.aeval.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 _inst_3 f) (φ i)))
+but is expected to have type
+  forall {R : Type.{u3}} {S₁ : Type.{u4}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u3} R] [_inst_2 : CommSemiring.{u4} S₁] [_inst_3 : Algebra.{u3, u4} R S₁ _inst_1 (CommSemiring.toSemiring.{u4} S₁ _inst_2)] (f : σ -> S₁) {ι : Type.{u2}} (s : Finset.{u2} ι) (φ : ι -> (MvPolynomial.{u1, u3} σ R _inst_1)), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u1, u3} σ R _inst_1) => S₁) (Finset.sum.{max u1 u3, u2} (MvPolynomial.{u1, u3} σ R _inst_1) ι (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) s (fun (i : ι) => φ i))) (FunLike.coe.{max (max (succ u4) (succ u1)) (succ u3), max (succ u1) (succ u3), succ u4} (AlgHom.{u3, max u3 u1, u4} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3) (MvPolynomial.{u1, u3} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u3} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u1, u3} σ R _inst_1) => S₁) _x) (SMulHomClass.toFunLike.{max (max u4 u1) u3, u3, max u1 u3, u4} (AlgHom.{u3, max u3 u1, u4} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ (SMulZeroClass.toSMul.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (AddMonoid.toZero.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))))) (DistribSMul.toSMulZeroClass.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))))) (DistribMulAction.toDistribSMul.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))))) (Module.toDistribMulAction.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Algebra.toModule.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1))))))) (SMulZeroClass.toSMul.{u3, u4} R S₁ (AddMonoid.toZero.{u4} S₁ (AddCommMonoid.toAddMonoid.{u4} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))))) (DistribSMul.toSMulZeroClass.{u3, u4} R S₁ (AddMonoid.toAddZeroClass.{u4} S₁ (AddCommMonoid.toAddMonoid.{u4} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))))) (DistribMulAction.toDistribSMul.{u3, u4} R S₁ (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (AddCommMonoid.toAddMonoid.{u4} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2))))) (Module.toDistribMulAction.{u3, u4} R S₁ (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))) (Algebra.toModule.{u3, u4} R S₁ _inst_1 (CommSemiring.toSemiring.{u4} S₁ _inst_2) _inst_3))))) (DistribMulActionHomClass.toSMulHomClass.{max (max u4 u1) u3, u3, max u1 u3, u4} (AlgHom.{u3, max u3 u1, u4} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))))) (AddCommMonoid.toAddMonoid.{u4} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2))))) (Module.toDistribMulAction.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Algebra.toModule.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)))) (Module.toDistribMulAction.{u3, u4} R S₁ (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))) (Algebra.toModule.{u3, u4} R S₁ _inst_1 (CommSemiring.toSemiring.{u4} S₁ _inst_2) _inst_3)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max (max u4 u1) u3, u3, max u1 u3, u4} (AlgHom.{u3, max u3 u1, u4} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2))) (Module.toDistribMulAction.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Algebra.toModule.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)))) (Module.toDistribMulAction.{u3, u4} R S₁ (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))) (Algebra.toModule.{u3, u4} R S₁ _inst_1 (CommSemiring.toSemiring.{u4} S₁ _inst_2) _inst_3)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u3, max u1 u3, u4, max (max u4 u1) u3} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3 (AlgHom.{u3, max u3 u1, u4} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3) (AlgHom.algHomClass.{u3, max u1 u3, u4} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3))))) (MvPolynomial.aeval.{u3, u4, u1} R S₁ σ _inst_1 _inst_2 _inst_3 f) (Finset.sum.{max u1 u3, u2} (MvPolynomial.{u1, u3} σ R _inst_1) ι (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) s (fun (i : ι) => φ i))) (Finset.sum.{u4, u2} S₁ ι (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))) s (fun (i : ι) => FunLike.coe.{max (max (succ u4) (succ u1)) (succ u3), max (succ u1) (succ u3), succ u4} (AlgHom.{u3, max u3 u1, u4} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3) (MvPolynomial.{u1, u3} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u3} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u1, u3} σ R _inst_1) => S₁) _x) (SMulHomClass.toFunLike.{max (max u4 u1) u3, u3, max u1 u3, u4} (AlgHom.{u3, max u3 u1, u4} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ (SMulZeroClass.toSMul.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (AddMonoid.toZero.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))))) (DistribSMul.toSMulZeroClass.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))))) (DistribMulAction.toDistribSMul.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))))) (Module.toDistribMulAction.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Algebra.toModule.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1))))))) (SMulZeroClass.toSMul.{u3, u4} R S₁ (AddMonoid.toZero.{u4} S₁ (AddCommMonoid.toAddMonoid.{u4} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))))) (DistribSMul.toSMulZeroClass.{u3, u4} R S₁ (AddMonoid.toAddZeroClass.{u4} S₁ (AddCommMonoid.toAddMonoid.{u4} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))))) (DistribMulAction.toDistribSMul.{u3, u4} R S₁ (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (AddCommMonoid.toAddMonoid.{u4} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2))))) (Module.toDistribMulAction.{u3, u4} R S₁ (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))) (Algebra.toModule.{u3, u4} R S₁ _inst_1 (CommSemiring.toSemiring.{u4} S₁ _inst_2) _inst_3))))) (DistribMulActionHomClass.toSMulHomClass.{max (max u4 u1) u3, u3, max u1 u3, u4} (AlgHom.{u3, max u3 u1, u4} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))))) (AddCommMonoid.toAddMonoid.{u4} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2))))) (Module.toDistribMulAction.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Algebra.toModule.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)))) (Module.toDistribMulAction.{u3, u4} R S₁ (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))) (Algebra.toModule.{u3, u4} R S₁ _inst_1 (CommSemiring.toSemiring.{u4} S₁ _inst_2) _inst_3)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max (max u4 u1) u3, u3, max u1 u3, u4} (AlgHom.{u3, max u3 u1, u4} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2))) (Module.toDistribMulAction.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Algebra.toModule.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)))) (Module.toDistribMulAction.{u3, u4} R S₁ (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))) (Algebra.toModule.{u3, u4} R S₁ _inst_1 (CommSemiring.toSemiring.{u4} S₁ _inst_2) _inst_3)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u3, max u1 u3, u4, max (max u4 u1) u3} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3 (AlgHom.{u3, max u3 u1, u4} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3) (AlgHom.algHomClass.{u3, max u1 u3, u4} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3))))) (MvPolynomial.aeval.{u3, u4, u1} R S₁ σ _inst_1 _inst_2 _inst_3 f) (φ i)))
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.aeval_sum MvPolynomial.aeval_sumₓ'. -/
 theorem aeval_sum {ι : Type _} (s : Finset ι) (φ : ι → MvPolynomial σ R) :
     aeval f (∑ i in s, φ i) = ∑ i in s, aeval f (φ i) :=
   (MvPolynomial.aeval f).map_sum _ _
 #align mv_polynomial.aeval_sum MvPolynomial.aeval_sum
 
+/- warning: mv_polynomial.aeval_prod -> MvPolynomial.aeval_prod is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {S₁ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] [_inst_3 : Algebra.{u1, u2} R S₁ _inst_1 (CommSemiring.toSemiring.{u2} S₁ _inst_2)] (f : σ -> S₁) {ι : Type.{u4}} (s : Finset.{u4} ι) (φ : ι -> (MvPolynomial.{u3, u1} σ R _inst_1)), Eq.{succ u2} S₁ (coeFn.{max (succ (max u3 u1)) (succ u2), max (succ (max u3 u1)) (succ u2)} (AlgHom.{u1, max u3 u1, u2} R (MvPolynomial.{u3, u1} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (CommSemiring.toSemiring.{u2} S₁ _inst_2) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_3) (fun (_x : AlgHom.{u1, max u3 u1, u2} R (MvPolynomial.{u3, u1} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (CommSemiring.toSemiring.{u2} S₁ _inst_2) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_3) => (MvPolynomial.{u3, u1} σ R _inst_1) -> S₁) ([anonymous].{u1, max u3 u1, u2} R (MvPolynomial.{u3, u1} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (CommSemiring.toSemiring.{u2} S₁ _inst_2) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_3) (MvPolynomial.aeval.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 _inst_3 f) (Finset.prod.{max u3 u1, u4} (MvPolynomial.{u3, u1} σ R _inst_1) ι (CommSemiring.toCommMonoid.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) s (fun (i : ι) => φ i))) (Finset.prod.{u2, u4} S₁ ι (CommSemiring.toCommMonoid.{u2} S₁ _inst_2) s (fun (i : ι) => coeFn.{max (succ (max u3 u1)) (succ u2), max (succ (max u3 u1)) (succ u2)} (AlgHom.{u1, max u3 u1, u2} R (MvPolynomial.{u3, u1} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (CommSemiring.toSemiring.{u2} S₁ _inst_2) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_3) (fun (_x : AlgHom.{u1, max u3 u1, u2} R (MvPolynomial.{u3, u1} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (CommSemiring.toSemiring.{u2} S₁ _inst_2) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_3) => (MvPolynomial.{u3, u1} σ R _inst_1) -> S₁) ([anonymous].{u1, max u3 u1, u2} R (MvPolynomial.{u3, u1} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (CommSemiring.toSemiring.{u2} S₁ _inst_2) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) _inst_3) (MvPolynomial.aeval.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 _inst_3 f) (φ i)))
+but is expected to have type
+  forall {R : Type.{u3}} {S₁ : Type.{u4}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u3} R] [_inst_2 : CommSemiring.{u4} S₁] [_inst_3 : Algebra.{u3, u4} R S₁ _inst_1 (CommSemiring.toSemiring.{u4} S₁ _inst_2)] (f : σ -> S₁) {ι : Type.{u2}} (s : Finset.{u2} ι) (φ : ι -> (MvPolynomial.{u1, u3} σ R _inst_1)), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u1, u3} σ R _inst_1) => S₁) (Finset.prod.{max u1 u3, u2} (MvPolynomial.{u1, u3} σ R _inst_1) ι (CommSemiring.toCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) s (fun (i : ι) => φ i))) (FunLike.coe.{max (max (succ u4) (succ u1)) (succ u3), max (succ u1) (succ u3), succ u4} (AlgHom.{u3, max u3 u1, u4} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3) (MvPolynomial.{u1, u3} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u3} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u1, u3} σ R _inst_1) => S₁) _x) (SMulHomClass.toFunLike.{max (max u4 u1) u3, u3, max u1 u3, u4} (AlgHom.{u3, max u3 u1, u4} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ (SMulZeroClass.toSMul.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (AddMonoid.toZero.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))))) (DistribSMul.toSMulZeroClass.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))))) (DistribMulAction.toDistribSMul.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))))) (Module.toDistribMulAction.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Algebra.toModule.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1))))))) (SMulZeroClass.toSMul.{u3, u4} R S₁ (AddMonoid.toZero.{u4} S₁ (AddCommMonoid.toAddMonoid.{u4} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))))) (DistribSMul.toSMulZeroClass.{u3, u4} R S₁ (AddMonoid.toAddZeroClass.{u4} S₁ (AddCommMonoid.toAddMonoid.{u4} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))))) (DistribMulAction.toDistribSMul.{u3, u4} R S₁ (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (AddCommMonoid.toAddMonoid.{u4} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2))))) (Module.toDistribMulAction.{u3, u4} R S₁ (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))) (Algebra.toModule.{u3, u4} R S₁ _inst_1 (CommSemiring.toSemiring.{u4} S₁ _inst_2) _inst_3))))) (DistribMulActionHomClass.toSMulHomClass.{max (max u4 u1) u3, u3, max u1 u3, u4} (AlgHom.{u3, max u3 u1, u4} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))))) (AddCommMonoid.toAddMonoid.{u4} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2))))) (Module.toDistribMulAction.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Algebra.toModule.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)))) (Module.toDistribMulAction.{u3, u4} R S₁ (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))) (Algebra.toModule.{u3, u4} R S₁ _inst_1 (CommSemiring.toSemiring.{u4} S₁ _inst_2) _inst_3)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max (max u4 u1) u3, u3, max u1 u3, u4} (AlgHom.{u3, max u3 u1, u4} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2))) (Module.toDistribMulAction.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Algebra.toModule.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)))) (Module.toDistribMulAction.{u3, u4} R S₁ (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))) (Algebra.toModule.{u3, u4} R S₁ _inst_1 (CommSemiring.toSemiring.{u4} S₁ _inst_2) _inst_3)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u3, max u1 u3, u4, max (max u4 u1) u3} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3 (AlgHom.{u3, max u3 u1, u4} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3) (AlgHom.algHomClass.{u3, max u1 u3, u4} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3))))) (MvPolynomial.aeval.{u3, u4, u1} R S₁ σ _inst_1 _inst_2 _inst_3 f) (Finset.prod.{max u1 u3, u2} (MvPolynomial.{u1, u3} σ R _inst_1) ι (CommSemiring.toCommMonoid.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) s (fun (i : ι) => φ i))) (Finset.prod.{u4, u2} S₁ ι (CommSemiring.toCommMonoid.{u4} S₁ _inst_2) s (fun (i : ι) => FunLike.coe.{max (max (succ u4) (succ u1)) (succ u3), max (succ u1) (succ u3), succ u4} (AlgHom.{u3, max u3 u1, u4} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3) (MvPolynomial.{u1, u3} σ R _inst_1) (fun (_x : MvPolynomial.{u1, u3} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u1, u3} σ R _inst_1) => S₁) _x) (SMulHomClass.toFunLike.{max (max u4 u1) u3, u3, max u1 u3, u4} (AlgHom.{u3, max u3 u1, u4} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ (SMulZeroClass.toSMul.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (AddMonoid.toZero.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))))) (DistribSMul.toSMulZeroClass.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))))) (DistribMulAction.toDistribSMul.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))))) (Module.toDistribMulAction.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Algebra.toModule.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1))))))) (SMulZeroClass.toSMul.{u3, u4} R S₁ (AddMonoid.toZero.{u4} S₁ (AddCommMonoid.toAddMonoid.{u4} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))))) (DistribSMul.toSMulZeroClass.{u3, u4} R S₁ (AddMonoid.toAddZeroClass.{u4} S₁ (AddCommMonoid.toAddMonoid.{u4} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))))) (DistribMulAction.toDistribSMul.{u3, u4} R S₁ (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (AddCommMonoid.toAddMonoid.{u4} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2))))) (Module.toDistribMulAction.{u3, u4} R S₁ (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))) (Algebra.toModule.{u3, u4} R S₁ _inst_1 (CommSemiring.toSemiring.{u4} S₁ _inst_2) _inst_3))))) (DistribMulActionHomClass.toSMulHomClass.{max (max u4 u1) u3, u3, max u1 u3, u4} (AlgHom.{u3, max u3 u1, u4} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))))) (AddCommMonoid.toAddMonoid.{u4} S₁ (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2))))) (Module.toDistribMulAction.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Algebra.toModule.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)))) (Module.toDistribMulAction.{u3, u4} R S₁ (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))) (Algebra.toModule.{u3, u4} R S₁ _inst_1 (CommSemiring.toSemiring.{u4} S₁ _inst_2) _inst_3)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max (max u4 u1) u3, u3, max u1 u3, u4} (AlgHom.{u3, max u3 u1, u4} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3) R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2))) (Module.toDistribMulAction.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1))))) (Algebra.toModule.{u3, max u1 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)))) (Module.toDistribMulAction.{u3, u4} R S₁ (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} S₁ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₁ (Semiring.toNonAssocSemiring.{u4} S₁ (CommSemiring.toSemiring.{u4} S₁ _inst_2)))) (Algebra.toModule.{u3, u4} R S₁ _inst_1 (CommSemiring.toSemiring.{u4} S₁ _inst_2) _inst_3)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u3, max u1 u3, u4, max (max u4 u1) u3} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3 (AlgHom.{u3, max u3 u1, u4} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3) (AlgHom.algHomClass.{u3, max u1 u3, u4} R (MvPolynomial.{u1, u3} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u4} S₁ _inst_2) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) _inst_3))))) (MvPolynomial.aeval.{u3, u4, u1} R S₁ σ _inst_1 _inst_2 _inst_3 f) (φ i)))
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.aeval_prod MvPolynomial.aeval_prodₓ'. -/
 @[to_additive]
 theorem aeval_prod {ι : Type _} (s : Finset ι) (φ : ι → MvPolynomial σ R) :
     aeval f (∏ i in s, φ i) = ∏ i in s, aeval f (φ i) :=
@@ -1528,16 +2718,24 @@ theorem aeval_prod {ι : Type _} (s : Finset ι) (φ : ι → MvPolynomial σ R)
 
 variable (R)
 
+/- warning: algebra.adjoin_range_eq_range_aeval -> Algebra.adjoin_range_eq_range_aeval is a dubious translation:
+lean 3 declaration is
+  forall (R : Type.{u1}) {S₁ : Type.{u2}} {σ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S₁] [_inst_3 : Algebra.{u1, u2} R S₁ _inst_1 (CommSemiring.toSemiring.{u2} S₁ _inst_2)] (f : σ -> S₁), Eq.{succ u2} (Subalgebra.{u1, u2} R S₁ _inst_1 (CommSemiring.toSemiring.{u2} S₁ _inst_2) _inst_3) (Algebra.adjoin.{u1, u2} R S₁ _inst_1 (CommSemiring.toSemiring.{u2} S₁ _inst_2) _inst_3 (Set.range.{u2, succ u3} S₁ σ f)) (AlgHom.range.{u1, max u3 u1, u2} R (MvPolynomial.{u3, u1} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u3, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u3} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) (CommSemiring.toSemiring.{u2} S₁ _inst_2) _inst_3 (MvPolynomial.aeval.{u1, u2, u3} R S₁ σ _inst_1 _inst_2 _inst_3 f))
+but is expected to have type
+  forall (R : Type.{u2}) {S₁ : Type.{u3}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : CommSemiring.{u3} S₁] [_inst_3 : Algebra.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2)] (f : σ -> S₁), Eq.{succ u3} (Subalgebra.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3) (Algebra.adjoin.{u2, u3} R S₁ _inst_1 (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3 (Set.range.{u3, succ u1} S₁ σ f)) (AlgHom.range.{u2, max u1 u2, u3} R (MvPolynomial.{u1, u2} σ R _inst_1) S₁ _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u1, u2} σ R _inst_1) (MvPolynomial.commSemiring.{u2, u1} R σ _inst_1)) (MvPolynomial.algebra.{u2, u2, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u2} R _inst_1)) (CommSemiring.toSemiring.{u3} S₁ _inst_2) _inst_3 (MvPolynomial.aeval.{u2, u3, u1} R S₁ σ _inst_1 _inst_2 _inst_3 f))
+Case conversion may be inaccurate. Consider using '#align algebra.adjoin_range_eq_range_aeval Algebra.adjoin_range_eq_range_aevalₓ'. -/
 theorem Algebra.adjoin_range_eq_range_aeval :
     Algebra.adjoin R (Set.range f) = (MvPolynomial.aeval f).range := by
-  simp only [← Algebra.map_top, ← MvPolynomial.adjoin_range_x, AlgHom.map_adjoin, ← Set.range_comp,
-    (· ∘ ·), MvPolynomial.aeval_x]
+  simp only [← Algebra.map_top, ← MvPolynomial.adjoin_range_X, AlgHom.map_adjoin, ← Set.range_comp,
+    (· ∘ ·), MvPolynomial.aeval_X]
 #align algebra.adjoin_range_eq_range_aeval Algebra.adjoin_range_eq_range_aeval
 
+#print Algebra.adjoin_eq_range /-
 theorem Algebra.adjoin_eq_range (s : Set S₁) :
     Algebra.adjoin R s = (MvPolynomial.aeval (coe : s → S₁)).range := by
   rw [← Algebra.adjoin_range_eq_range_aeval, Subtype.range_coe]
 #align algebra.adjoin_eq_range Algebra.adjoin_eq_range
+-/
 
 end Aeval
 
@@ -1547,6 +2745,7 @@ variable {S A B : Type _} [CommSemiring S] [CommSemiring A] [CommSemiring B]
 
 variable [Algebra S R] [Algebra S A] [Algebra S B]
 
+#print MvPolynomial.aevalTower /-
 /-- Version of `aeval` for defining algebra homs out of `mv_polynomial σ R` over a smaller base ring
   than `R`. -/
 def aevalTower (f : R →ₐ[S] A) (x : σ → A) : MvPolynomial σ R →ₐ[S] A :=
@@ -1554,46 +2753,95 @@ def aevalTower (f : R →ₐ[S] A) (x : σ → A) : MvPolynomial σ R →ₐ[S]
     commutes' := fun r => by
       simp [IsScalarTower.algebraMap_eq S R (MvPolynomial σ R), algebra_map_eq] }
 #align mv_polynomial.aeval_tower MvPolynomial.aevalTower
+-/
 
 variable (g : R →ₐ[S] A) (y : σ → A)
 
-@[simp]
-theorem aevalTower_x (i : σ) : aevalTower g y (x i) = y i :=
-  eval₂_x _ _ _
-#align mv_polynomial.aeval_tower_X MvPolynomial.aevalTower_x
-
-@[simp]
-theorem aevalTower_c (x : R) : aevalTower g y (c x) = g x :=
-  eval₂_c _ _ _
-#align mv_polynomial.aeval_tower_C MvPolynomial.aevalTower_c
-
-@[simp]
-theorem aevalTower_comp_c : (aevalTower g y : MvPolynomial σ R →+* A).comp c = g :=
-  RingHom.ext <| aevalTower_c _ _
-#align mv_polynomial.aeval_tower_comp_C MvPolynomial.aevalTower_comp_c
-
+/- warning: mv_polynomial.aeval_tower_X -> MvPolynomial.aevalTower_X is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {S : Type.{u3}} {A : Type.{u4}} [_inst_3 : CommSemiring.{u3} S] [_inst_4 : CommSemiring.{u4} A] [_inst_6 : Algebra.{u3, u1} S R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_1)] [_inst_7 : Algebra.{u3, u4} S A _inst_3 (CommSemiring.toSemiring.{u4} A _inst_4)] (g : AlgHom.{u3, u1, u4} S R A _inst_3 (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u4} A _inst_4) _inst_6 _inst_7) (y : σ -> A) (i : σ), Eq.{succ u4} A (coeFn.{max (succ (max u2 u1)) (succ u4), max (succ (max u2 u1)) (succ u4)} (AlgHom.{u3, max u2 u1, u4} S (MvPolynomial.{u2, u1} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u4} A _inst_4) (MvPolynomial.algebra.{u3, u1, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) (fun (_x : AlgHom.{u3, max u2 u1, u4} S (MvPolynomial.{u2, u1} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u4} A _inst_4) (MvPolynomial.algebra.{u3, u1, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) => (MvPolynomial.{u2, u1} σ R _inst_1) -> A) ([anonymous].{u3, max u2 u1, u4} S (MvPolynomial.{u2, u1} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u4} A _inst_4) (MvPolynomial.algebra.{u3, u1, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) (MvPolynomial.aevalTower.{u1, u2, u3, u4} R σ _inst_1 S A _inst_3 _inst_4 _inst_6 _inst_7 g y) (MvPolynomial.X.{u1, u2} R σ _inst_1 i)) (y i)
+but is expected to have type
+  forall {R : Type.{u4}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u4} R] {S : Type.{u1}} {A : Type.{u3}} [_inst_3 : CommSemiring.{u1} S] [_inst_4 : CommSemiring.{u3} A] [_inst_6 : Algebra.{u1, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1)] [_inst_7 : Algebra.{u1, u3} S A _inst_3 (CommSemiring.toSemiring.{u3} A _inst_4)] (g : AlgHom.{u1, u4, u3} S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7) (y : σ -> A) (i : σ), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u2, u4} σ R _inst_1) => A) (MvPolynomial.X.{u4, u2} R σ _inst_1 i)) (FunLike.coe.{max (max (succ u4) (succ u2)) (succ u3), max (succ u4) (succ u2), succ u3} (AlgHom.{u1, max u4 u2, u3} S (MvPolynomial.{u2, u4} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u3} A _inst_4) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) (MvPolynomial.{u2, u4} σ R _inst_1) (fun (_x : MvPolynomial.{u2, u4} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u2, u4} σ R _inst_1) => A) _x) (SMulHomClass.toFunLike.{max (max u4 u2) u3, u1, max u4 u2, u3} (AlgHom.{u1, max u4 u2, u3} S (MvPolynomial.{u2, u4} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u3} A _inst_4) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) S (MvPolynomial.{u2, u4} σ R _inst_1) A (SMulZeroClass.toSMul.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (AddMonoid.toZero.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))))) (DistribSMul.toSMulZeroClass.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))))) (DistribMulAction.toDistribSMul.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (AddCommMonoid.toAddMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))))) (Module.toDistribMulAction.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))) (Algebra.toModule.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6)))))) (SMulZeroClass.toSMul.{u1, u3} S A (AddMonoid.toZero.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))))) (DistribSMul.toSMulZeroClass.{u1, u3} S A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))))) (DistribMulAction.toDistribSMul.{u1, u3} S A (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4))))) (Module.toDistribMulAction.{u1, u3} S A (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))) (Algebra.toModule.{u1, u3} S A _inst_3 (CommSemiring.toSemiring.{u3} A _inst_4) _inst_7))))) (DistribMulActionHomClass.toSMulHomClass.{max (max u4 u2) u3, u1, max u4 u2, u3} (AlgHom.{u1, max u4 u2, u3} S (MvPolynomial.{u2, u4} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u3} A _inst_4) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) S (MvPolynomial.{u2, u4} σ R _inst_1) A (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (AddCommMonoid.toAddMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))))) (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4))))) (Module.toDistribMulAction.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))) (Algebra.toModule.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6))) (Module.toDistribMulAction.{u1, u3} S A (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))) (Algebra.toModule.{u1, u3} S A _inst_3 (CommSemiring.toSemiring.{u3} A _inst_4) _inst_7)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max (max u4 u2) u3, u1, max u4 u2, u3} (AlgHom.{u1, max u4 u2, u3} S (MvPolynomial.{u2, u4} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u3} A _inst_4) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) S (MvPolynomial.{u2, u4} σ R _inst_1) A (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4))) (Module.toDistribMulAction.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))) (Algebra.toModule.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6))) (Module.toDistribMulAction.{u1, u3} S A (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))) (Algebra.toModule.{u1, u3} S A _inst_3 (CommSemiring.toSemiring.{u3} A _inst_4) _inst_7)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u1, max u4 u2, u3, max (max u4 u2) u3} S (MvPolynomial.{u2, u4} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u3} A _inst_4) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7 (AlgHom.{u1, max u4 u2, u3} S (MvPolynomial.{u2, u4} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u3} A _inst_4) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) (AlgHom.algHomClass.{u1, max u4 u2, u3} S (MvPolynomial.{u2, u4} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u3} A _inst_4) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7))))) (MvPolynomial.aevalTower.{u4, u2, u1, u3} R σ _inst_1 S A _inst_3 _inst_4 _inst_6 _inst_7 g y) (MvPolynomial.X.{u4, u2} R σ _inst_1 i)) (y i)
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.aeval_tower_X MvPolynomial.aevalTower_Xₓ'. -/
+@[simp]
+theorem aevalTower_X (i : σ) : aevalTower g y (X i) = y i :=
+  eval₂_X _ _ _
+#align mv_polynomial.aeval_tower_X MvPolynomial.aevalTower_X
+
+/- warning: mv_polynomial.aeval_tower_C -> MvPolynomial.aevalTower_C is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {S : Type.{u3}} {A : Type.{u4}} [_inst_3 : CommSemiring.{u3} S] [_inst_4 : CommSemiring.{u4} A] [_inst_6 : Algebra.{u3, u1} S R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_1)] [_inst_7 : Algebra.{u3, u4} S A _inst_3 (CommSemiring.toSemiring.{u4} A _inst_4)] (g : AlgHom.{u3, u1, u4} S R A _inst_3 (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u4} A _inst_4) _inst_6 _inst_7) (y : σ -> A) (x : R), Eq.{succ u4} A (coeFn.{max (succ (max u2 u1)) (succ u4), max (succ (max u2 u1)) (succ u4)} (AlgHom.{u3, max u2 u1, u4} S (MvPolynomial.{u2, u1} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u4} A _inst_4) (MvPolynomial.algebra.{u3, u1, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) (fun (_x : AlgHom.{u3, max u2 u1, u4} S (MvPolynomial.{u2, u1} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u4} A _inst_4) (MvPolynomial.algebra.{u3, u1, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) => (MvPolynomial.{u2, u1} σ R _inst_1) -> A) ([anonymous].{u3, max u2 u1, u4} S (MvPolynomial.{u2, u1} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u4} A _inst_4) (MvPolynomial.algebra.{u3, u1, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) (MvPolynomial.aevalTower.{u1, u2, u3, u4} R σ _inst_1 S A _inst_3 _inst_4 _inst_6 _inst_7 g y) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (fun (_x : RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (MvPolynomial.C.{u1, u2} R σ _inst_1) x)) (coeFn.{max (succ u1) (succ u4), max (succ u1) (succ u4)} (AlgHom.{u3, u1, u4} S R A _inst_3 (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u4} A _inst_4) _inst_6 _inst_7) (fun (_x : AlgHom.{u3, u1, u4} S R A _inst_3 (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u4} A _inst_4) _inst_6 _inst_7) => R -> A) ([anonymous].{u3, u1, u4} S R A _inst_3 (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u4} A _inst_4) _inst_6 _inst_7) g x)
+but is expected to have type
+  forall {R : Type.{u4}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u4} R] {S : Type.{u1}} {A : Type.{u3}} [_inst_3 : CommSemiring.{u1} S] [_inst_4 : CommSemiring.{u3} A] [_inst_6 : Algebra.{u1, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1)] [_inst_7 : Algebra.{u1, u3} S A _inst_3 (CommSemiring.toSemiring.{u3} A _inst_4)] (g : AlgHom.{u1, u4, u3} S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7) (y : σ -> A) (x : R), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u2, u4} σ R _inst_1) => A) (FunLike.coe.{max (succ u2) (succ u4), succ u4, max (succ u2) (succ u4)} (RingHom.{u4, max u4 u2} R (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))) R (fun (a : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u2, u4} σ R _inst_1) a) (MulHomClass.toFunLike.{max u2 u4, u4, max u2 u4} (RingHom.{u4, max u4 u2} R (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))) R (MvPolynomial.{u2, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u2 u4} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u4} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u4, u4, max u2 u4} (RingHom.{u4, max u4 u2} R (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))) R (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u4} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u4, u4, max u2 u4} (RingHom.{u4, max u4 u2} R (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))) R (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u4, max u2 u4} R (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))))) (MvPolynomial.C.{u4, u2} R σ _inst_1) x)) (FunLike.coe.{max (max (succ u4) (succ u2)) (succ u3), max (succ u4) (succ u2), succ u3} (AlgHom.{u1, max u4 u2, u3} S (MvPolynomial.{u2, u4} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u3} A _inst_4) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) (MvPolynomial.{u2, u4} σ R _inst_1) (fun (_x : MvPolynomial.{u2, u4} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u2, u4} σ R _inst_1) => A) _x) (SMulHomClass.toFunLike.{max (max u4 u2) u3, u1, max u4 u2, u3} (AlgHom.{u1, max u4 u2, u3} S (MvPolynomial.{u2, u4} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u3} A _inst_4) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) S (MvPolynomial.{u2, u4} σ R _inst_1) A (SMulZeroClass.toSMul.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (AddMonoid.toZero.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))))) (DistribSMul.toSMulZeroClass.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))))) (DistribMulAction.toDistribSMul.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (AddCommMonoid.toAddMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))))) (Module.toDistribMulAction.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))) (Algebra.toModule.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6)))))) (SMulZeroClass.toSMul.{u1, u3} S A (AddMonoid.toZero.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))))) (DistribSMul.toSMulZeroClass.{u1, u3} S A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))))) (DistribMulAction.toDistribSMul.{u1, u3} S A (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4))))) (Module.toDistribMulAction.{u1, u3} S A (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))) (Algebra.toModule.{u1, u3} S A _inst_3 (CommSemiring.toSemiring.{u3} A _inst_4) _inst_7))))) (DistribMulActionHomClass.toSMulHomClass.{max (max u4 u2) u3, u1, max u4 u2, u3} (AlgHom.{u1, max u4 u2, u3} S (MvPolynomial.{u2, u4} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u3} A _inst_4) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) S (MvPolynomial.{u2, u4} σ R _inst_1) A (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (AddCommMonoid.toAddMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))))) (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4))))) (Module.toDistribMulAction.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))) (Algebra.toModule.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6))) (Module.toDistribMulAction.{u1, u3} S A (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))) (Algebra.toModule.{u1, u3} S A _inst_3 (CommSemiring.toSemiring.{u3} A _inst_4) _inst_7)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max (max u4 u2) u3, u1, max u4 u2, u3} (AlgHom.{u1, max u4 u2, u3} S (MvPolynomial.{u2, u4} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u3} A _inst_4) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) S (MvPolynomial.{u2, u4} σ R _inst_1) A (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4))) (Module.toDistribMulAction.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))) (Algebra.toModule.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6))) (Module.toDistribMulAction.{u1, u3} S A (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))) (Algebra.toModule.{u1, u3} S A _inst_3 (CommSemiring.toSemiring.{u3} A _inst_4) _inst_7)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u1, max u4 u2, u3, max (max u4 u2) u3} S (MvPolynomial.{u2, u4} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u3} A _inst_4) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7 (AlgHom.{u1, max u4 u2, u3} S (MvPolynomial.{u2, u4} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u3} A _inst_4) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) (AlgHom.algHomClass.{u1, max u4 u2, u3} S (MvPolynomial.{u2, u4} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u3} A _inst_4) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7))))) (MvPolynomial.aevalTower.{u4, u2, u1, u3} R σ _inst_1 S A _inst_3 _inst_4 _inst_6 _inst_7 g y) (FunLike.coe.{max (succ u2) (succ u4), succ u4, max (succ u2) (succ u4)} (RingHom.{u4, max u4 u2} R (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u2, u4} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u2 u4, u4, max u2 u4} (RingHom.{u4, max u4 u2} R (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))) R (MvPolynomial.{u2, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u2 u4} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u4} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u4, u4, max u2 u4} (RingHom.{u4, max u4 u2} R (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))) R (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u4} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u4, u4, max u2 u4} (RingHom.{u4, max u4 u2} R (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))) R (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u4, max u2 u4} R (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))))) (MvPolynomial.C.{u4, u2} R σ _inst_1) x)) (FunLike.coe.{max (succ u4) (succ u3), succ u4, succ u3} (AlgHom.{u1, u4, u3} S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : R) => A) _x) (SMulHomClass.toFunLike.{max u4 u3, u1, u4, u3} (AlgHom.{u1, u4, u3} S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7) S R A (SMulZeroClass.toSMul.{u1, u4} S R (AddMonoid.toZero.{u4} R (AddCommMonoid.toAddMonoid.{u4} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))))) (DistribSMul.toSMulZeroClass.{u1, u4} S R (AddMonoid.toAddZeroClass.{u4} R (AddCommMonoid.toAddMonoid.{u4} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))))) (DistribMulAction.toDistribSMul.{u1, u4} S R (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (AddCommMonoid.toAddMonoid.{u4} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))))) (Module.toDistribMulAction.{u1, u4} S R (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (Algebra.toModule.{u1, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) _inst_6))))) (SMulZeroClass.toSMul.{u1, u3} S A (AddMonoid.toZero.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))))) (DistribSMul.toSMulZeroClass.{u1, u3} S A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))))) (DistribMulAction.toDistribSMul.{u1, u3} S A (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4))))) (Module.toDistribMulAction.{u1, u3} S A (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))) (Algebra.toModule.{u1, u3} S A _inst_3 (CommSemiring.toSemiring.{u3} A _inst_4) _inst_7))))) (DistribMulActionHomClass.toSMulHomClass.{max u4 u3, u1, u4, u3} (AlgHom.{u1, u4, u3} S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7) S R A (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (AddCommMonoid.toAddMonoid.{u4} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))))) (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4))))) (Module.toDistribMulAction.{u1, u4} S R (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (Algebra.toModule.{u1, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) _inst_6)) (Module.toDistribMulAction.{u1, u3} S A (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))) (Algebra.toModule.{u1, u3} S A _inst_3 (CommSemiring.toSemiring.{u3} A _inst_4) _inst_7)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max u4 u3, u1, u4, u3} (AlgHom.{u1, u4, u3} S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7) S R A (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4))) (Module.toDistribMulAction.{u1, u4} S R (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (Algebra.toModule.{u1, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) _inst_6)) (Module.toDistribMulAction.{u1, u3} S A (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))) (Algebra.toModule.{u1, u3} S A _inst_3 (CommSemiring.toSemiring.{u3} A _inst_4) _inst_7)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u1, u4, u3, max u4 u3} S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7 (AlgHom.{u1, u4, u3} S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7) (AlgHom.algHomClass.{u1, u4, u3} S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7))))) g x)
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.aeval_tower_C MvPolynomial.aevalTower_Cₓ'. -/
+@[simp]
+theorem aevalTower_C (x : R) : aevalTower g y (C x) = g x :=
+  eval₂_C _ _ _
+#align mv_polynomial.aeval_tower_C MvPolynomial.aevalTower_C
+
+/- warning: mv_polynomial.aeval_tower_comp_C -> MvPolynomial.aevalTower_comp_C is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {S : Type.{u3}} {A : Type.{u4}} [_inst_3 : CommSemiring.{u3} S] [_inst_4 : CommSemiring.{u4} A] [_inst_6 : Algebra.{u3, u1} S R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_1)] [_inst_7 : Algebra.{u3, u4} S A _inst_3 (CommSemiring.toSemiring.{u4} A _inst_4)] (g : AlgHom.{u3, u1, u4} S R A _inst_3 (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u4} A _inst_4) _inst_6 _inst_7) (y : σ -> A), Eq.{max (succ u1) (succ u4)} (RingHom.{u1, u4} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u4} A (CommSemiring.toSemiring.{u4} A _inst_4))) (RingHom.comp.{u1, max u2 u1, u4} R (MvPolynomial.{u2, u1} σ R _inst_1) A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u4} A (CommSemiring.toSemiring.{u4} A _inst_4)) ((fun (a : Sort.{max (succ (max u2 u1)) (succ u4)}) (b : Sort.{max (succ (max u2 u1)) (succ u4)}) [self : HasLiftT.{max (succ (max u2 u1)) (succ u4), max (succ (max u2 u1)) (succ u4)} a b] => self.0) (AlgHom.{u3, max u2 u1, u4} S (MvPolynomial.{u2, u1} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u4} A _inst_4) (MvPolynomial.algebra.{u3, u1, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) (RingHom.{max u2 u1, u4} (MvPolynomial.{u2, u1} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u4} A (CommSemiring.toSemiring.{u4} A _inst_4))) (HasLiftT.mk.{max (succ (max u2 u1)) (succ u4), max (succ (max u2 u1)) (succ u4)} (AlgHom.{u3, max u2 u1, u4} S (MvPolynomial.{u2, u1} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u4} A _inst_4) (MvPolynomial.algebra.{u3, u1, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) (RingHom.{max u2 u1, u4} (MvPolynomial.{u2, u1} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u4} A (CommSemiring.toSemiring.{u4} A _inst_4))) (CoeTCₓ.coe.{max (succ (max u2 u1)) (succ u4), max (succ (max u2 u1)) (succ u4)} (AlgHom.{u3, max u2 u1, u4} S (MvPolynomial.{u2, u1} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u4} A _inst_4) (MvPolynomial.algebra.{u3, u1, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) (RingHom.{max u2 u1, u4} (MvPolynomial.{u2, u1} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u4} A (CommSemiring.toSemiring.{u4} A _inst_4))) (RingHom.hasCoeT.{max (max u2 u1) u4, max u2 u1, u4} (AlgHom.{u3, max u2 u1, u4} S (MvPolynomial.{u2, u1} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u4} A _inst_4) (MvPolynomial.algebra.{u3, u1, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) (MvPolynomial.{u2, u1} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u4} A (CommSemiring.toSemiring.{u4} A _inst_4)) (AlgHomClass.toRingHomClass.{max (max u2 u1) u4, u3, max u2 u1, u4} (AlgHom.{u3, max u2 u1, u4} S (MvPolynomial.{u2, u1} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u4} A _inst_4) (MvPolynomial.algebra.{u3, u1, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) S (MvPolynomial.{u2, u1} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u4} A _inst_4) (MvPolynomial.algebra.{u3, u1, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7 (AlgHom.algHomClass.{u3, max u2 u1, u4} S (MvPolynomial.{u2, u1} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u4} A _inst_4) (MvPolynomial.algebra.{u3, u1, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7))))) (MvPolynomial.aevalTower.{u1, u2, u3, u4} R σ _inst_1 S A _inst_3 _inst_4 _inst_6 _inst_7 g y)) (MvPolynomial.C.{u1, u2} R σ _inst_1)) ((fun (a : Sort.{max (succ u1) (succ u4)}) (b : Sort.{max (succ u1) (succ u4)}) [self : HasLiftT.{max (succ u1) (succ u4), max (succ u1) (succ u4)} a b] => self.0) (AlgHom.{u3, u1, u4} S R A _inst_3 (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u4} A _inst_4) _inst_6 _inst_7) (RingHom.{u1, u4} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u4} A (CommSemiring.toSemiring.{u4} A _inst_4))) (HasLiftT.mk.{max (succ u1) (succ u4), max (succ u1) (succ u4)} (AlgHom.{u3, u1, u4} S R A _inst_3 (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u4} A _inst_4) _inst_6 _inst_7) (RingHom.{u1, u4} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u4} A (CommSemiring.toSemiring.{u4} A _inst_4))) (CoeTCₓ.coe.{max (succ u1) (succ u4), max (succ u1) (succ u4)} (AlgHom.{u3, u1, u4} S R A _inst_3 (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u4} A _inst_4) _inst_6 _inst_7) (RingHom.{u1, u4} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u4} A (CommSemiring.toSemiring.{u4} A _inst_4))) (RingHom.hasCoeT.{max u1 u4, u1, u4} (AlgHom.{u3, u1, u4} S R A _inst_3 (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u4} A _inst_4) _inst_6 _inst_7) R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u4} A (CommSemiring.toSemiring.{u4} A _inst_4)) (AlgHomClass.toRingHomClass.{max u1 u4, u3, u1, u4} (AlgHom.{u3, u1, u4} S R A _inst_3 (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u4} A _inst_4) _inst_6 _inst_7) S R A _inst_3 (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u4} A _inst_4) _inst_6 _inst_7 (AlgHom.algHomClass.{u3, u1, u4} S R A _inst_3 (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u4} A _inst_4) _inst_6 _inst_7))))) g)
+but is expected to have type
+  forall {R : Type.{u4}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u4} R] {S : Type.{u1}} {A : Type.{u3}} [_inst_3 : CommSemiring.{u1} S] [_inst_4 : CommSemiring.{u3} A] [_inst_6 : Algebra.{u1, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1)] [_inst_7 : Algebra.{u1, u3} S A _inst_3 (CommSemiring.toSemiring.{u3} A _inst_4)] (g : AlgHom.{u1, u4, u3} S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7) (y : σ -> A), Eq.{max (succ u4) (succ u3)} (RingHom.{u4, u3} R A (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4))) (RingHom.comp.{u4, max u4 u2, u3} R (MvPolynomial.{u2, u4} σ R _inst_1) A (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)) (RingHomClass.toRingHom.{max (max u4 u2) u3, max u4 u2, u3} (AlgHom.{u1, max u4 u2, u3} S (MvPolynomial.{u2, u4} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u3} A _inst_4) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) (MvPolynomial.{u2, u4} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)) (AlgHomClass.toRingHomClass.{max (max u4 u2) u3, u1, max u4 u2, u3} (AlgHom.{u1, max u4 u2, u3} S (MvPolynomial.{u2, u4} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u3} A _inst_4) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) S (MvPolynomial.{u2, u4} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u3} A _inst_4) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7 (AlgHom.algHomClass.{u1, max u4 u2, u3} S (MvPolynomial.{u2, u4} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u3} A _inst_4) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7)) (MvPolynomial.aevalTower.{u4, u2, u1, u3} R σ _inst_1 S A _inst_3 _inst_4 _inst_6 _inst_7 g y)) (MvPolynomial.C.{u4, u2} R σ _inst_1)) (RingHomClass.toRingHom.{max u4 u3, u4, u3} (AlgHom.{u1, u4, u3} S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7) R A (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)) (AlgHomClass.toRingHomClass.{max u4 u3, u1, u4, u3} (AlgHom.{u1, u4, u3} S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7) S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7 (AlgHom.algHomClass.{u1, u4, u3} S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7)) g)
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.aeval_tower_comp_C MvPolynomial.aevalTower_comp_Cₓ'. -/
+@[simp]
+theorem aevalTower_comp_C : (aevalTower g y : MvPolynomial σ R →+* A).comp C = g :=
+  RingHom.ext <| aevalTower_C _ _
+#align mv_polynomial.aeval_tower_comp_C MvPolynomial.aevalTower_comp_C
+
+/- warning: mv_polynomial.aeval_tower_algebra_map -> MvPolynomial.aevalTower_algebraMap is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {S : Type.{u3}} {A : Type.{u4}} [_inst_3 : CommSemiring.{u3} S] [_inst_4 : CommSemiring.{u4} A] [_inst_6 : Algebra.{u3, u1} S R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_1)] [_inst_7 : Algebra.{u3, u4} S A _inst_3 (CommSemiring.toSemiring.{u4} A _inst_4)] (g : AlgHom.{u3, u1, u4} S R A _inst_3 (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u4} A _inst_4) _inst_6 _inst_7) (y : σ -> A) (x : R), Eq.{succ u4} A (coeFn.{max (succ (max u2 u1)) (succ u4), max (succ (max u2 u1)) (succ u4)} (AlgHom.{u3, max u2 u1, u4} S (MvPolynomial.{u2, u1} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u4} A _inst_4) (MvPolynomial.algebra.{u3, u1, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) (fun (_x : AlgHom.{u3, max u2 u1, u4} S (MvPolynomial.{u2, u1} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u4} A _inst_4) (MvPolynomial.algebra.{u3, u1, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) => (MvPolynomial.{u2, u1} σ R _inst_1) -> A) ([anonymous].{u3, max u2 u1, u4} S (MvPolynomial.{u2, u1} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u4} A _inst_4) (MvPolynomial.algebra.{u3, u1, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) (MvPolynomial.aevalTower.{u1, u2, u3, u4} R σ _inst_1 S A _inst_3 _inst_4 _inst_6 _inst_7 g y) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (fun (_x : RingHom.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) (RingHom.hasCoeToFun.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)))) (algebraMap.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1))) x)) (coeFn.{max (succ u1) (succ u4), max (succ u1) (succ u4)} (AlgHom.{u3, u1, u4} S R A _inst_3 (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u4} A _inst_4) _inst_6 _inst_7) (fun (_x : AlgHom.{u3, u1, u4} S R A _inst_3 (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u4} A _inst_4) _inst_6 _inst_7) => R -> A) ([anonymous].{u3, u1, u4} S R A _inst_3 (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u4} A _inst_4) _inst_6 _inst_7) g x)
+but is expected to have type
+  forall {R : Type.{u4}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u4} R] {S : Type.{u1}} {A : Type.{u3}} [_inst_3 : CommSemiring.{u1} S] [_inst_4 : CommSemiring.{u3} A] [_inst_6 : Algebra.{u1, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1)] [_inst_7 : Algebra.{u1, u3} S A _inst_3 (CommSemiring.toSemiring.{u3} A _inst_4)] (g : AlgHom.{u1, u4, u3} S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7) (y : σ -> A) (x : R), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u2, u4} σ R _inst_1) => A) (FunLike.coe.{max (succ u4) (succ u2), succ u4, max (succ u4) (succ u2)} (RingHom.{u4, max u4 u2} R (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))) R (fun (a : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u2, u4} σ R _inst_1) a) (MulHomClass.toFunLike.{max u4 u2, u4, max u4 u2} (RingHom.{u4, max u4 u2} R (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))) R (MvPolynomial.{u2, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u4 u2, u4, max u4 u2} (RingHom.{u4, max u4 u2} R (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))) R (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u4 u2, u4, max u4 u2} (RingHom.{u4, max u4 u2} R (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))) R (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u4, max u4 u2} R (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))))) (algebraMap.{u4, max u4 u2} R (MvPolynomial.{u2, u4} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (MvPolynomial.algebra.{u4, u4, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u4} R _inst_1))) x)) (FunLike.coe.{max (max (succ u4) (succ u2)) (succ u3), max (succ u4) (succ u2), succ u3} (AlgHom.{u1, max u4 u2, u3} S (MvPolynomial.{u2, u4} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u3} A _inst_4) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) (MvPolynomial.{u2, u4} σ R _inst_1) (fun (_x : MvPolynomial.{u2, u4} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u2, u4} σ R _inst_1) => A) _x) (SMulHomClass.toFunLike.{max (max u4 u2) u3, u1, max u4 u2, u3} (AlgHom.{u1, max u4 u2, u3} S (MvPolynomial.{u2, u4} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u3} A _inst_4) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) S (MvPolynomial.{u2, u4} σ R _inst_1) A (SMulZeroClass.toSMul.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (AddMonoid.toZero.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))))) (DistribSMul.toSMulZeroClass.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))))) (DistribMulAction.toDistribSMul.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (AddCommMonoid.toAddMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))))) (Module.toDistribMulAction.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))) (Algebra.toModule.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6)))))) (SMulZeroClass.toSMul.{u1, u3} S A (AddMonoid.toZero.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))))) (DistribSMul.toSMulZeroClass.{u1, u3} S A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))))) (DistribMulAction.toDistribSMul.{u1, u3} S A (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4))))) (Module.toDistribMulAction.{u1, u3} S A (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))) (Algebra.toModule.{u1, u3} S A _inst_3 (CommSemiring.toSemiring.{u3} A _inst_4) _inst_7))))) (DistribMulActionHomClass.toSMulHomClass.{max (max u4 u2) u3, u1, max u4 u2, u3} (AlgHom.{u1, max u4 u2, u3} S (MvPolynomial.{u2, u4} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u3} A _inst_4) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) S (MvPolynomial.{u2, u4} σ R _inst_1) A (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (AddCommMonoid.toAddMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))))) (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4))))) (Module.toDistribMulAction.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))) (Algebra.toModule.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6))) (Module.toDistribMulAction.{u1, u3} S A (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))) (Algebra.toModule.{u1, u3} S A _inst_3 (CommSemiring.toSemiring.{u3} A _inst_4) _inst_7)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max (max u4 u2) u3, u1, max u4 u2, u3} (AlgHom.{u1, max u4 u2, u3} S (MvPolynomial.{u2, u4} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u3} A _inst_4) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) S (MvPolynomial.{u2, u4} σ R _inst_1) A (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4))) (Module.toDistribMulAction.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))) (Algebra.toModule.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6))) (Module.toDistribMulAction.{u1, u3} S A (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))) (Algebra.toModule.{u1, u3} S A _inst_3 (CommSemiring.toSemiring.{u3} A _inst_4) _inst_7)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u1, max u4 u2, u3, max (max u4 u2) u3} S (MvPolynomial.{u2, u4} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u3} A _inst_4) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7 (AlgHom.{u1, max u4 u2, u3} S (MvPolynomial.{u2, u4} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u3} A _inst_4) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) (AlgHom.algHomClass.{u1, max u4 u2, u3} S (MvPolynomial.{u2, u4} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u3} A _inst_4) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7))))) (MvPolynomial.aevalTower.{u4, u2, u1, u3} R σ _inst_1 S A _inst_3 _inst_4 _inst_6 _inst_7 g y) (FunLike.coe.{max (succ u4) (succ u2), succ u4, max (succ u4) (succ u2)} (RingHom.{u4, max u4 u2} R (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MvPolynomial.{u2, u4} σ R _inst_1) _x) (MulHomClass.toFunLike.{max u4 u2, u4, max u4 u2} (RingHom.{u4, max u4 u2} R (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))) R (MvPolynomial.{u2, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{max u4 u2, u4, max u4 u2} (RingHom.{u4, max u4 u2} R (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))) R (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{max u4 u2, u4, max u4 u2} (RingHom.{u4, max u4 u2} R (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))) R (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))) (RingHom.instRingHomClassRingHom.{u4, max u4 u2} R (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))))) (algebraMap.{u4, max u4 u2} R (MvPolynomial.{u2, u4} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (MvPolynomial.algebra.{u4, u4, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u4} R _inst_1))) x)) (FunLike.coe.{max (succ u4) (succ u3), succ u4, succ u3} (AlgHom.{u1, u4, u3} S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : R) => A) _x) (SMulHomClass.toFunLike.{max u4 u3, u1, u4, u3} (AlgHom.{u1, u4, u3} S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7) S R A (SMulZeroClass.toSMul.{u1, u4} S R (AddMonoid.toZero.{u4} R (AddCommMonoid.toAddMonoid.{u4} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))))) (DistribSMul.toSMulZeroClass.{u1, u4} S R (AddMonoid.toAddZeroClass.{u4} R (AddCommMonoid.toAddMonoid.{u4} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))))) (DistribMulAction.toDistribSMul.{u1, u4} S R (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (AddCommMonoid.toAddMonoid.{u4} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))))) (Module.toDistribMulAction.{u1, u4} S R (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (Algebra.toModule.{u1, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) _inst_6))))) (SMulZeroClass.toSMul.{u1, u3} S A (AddMonoid.toZero.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))))) (DistribSMul.toSMulZeroClass.{u1, u3} S A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))))) (DistribMulAction.toDistribSMul.{u1, u3} S A (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4))))) (Module.toDistribMulAction.{u1, u3} S A (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))) (Algebra.toModule.{u1, u3} S A _inst_3 (CommSemiring.toSemiring.{u3} A _inst_4) _inst_7))))) (DistribMulActionHomClass.toSMulHomClass.{max u4 u3, u1, u4, u3} (AlgHom.{u1, u4, u3} S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7) S R A (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (AddCommMonoid.toAddMonoid.{u4} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))))) (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4))))) (Module.toDistribMulAction.{u1, u4} S R (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (Algebra.toModule.{u1, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) _inst_6)) (Module.toDistribMulAction.{u1, u3} S A (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))) (Algebra.toModule.{u1, u3} S A _inst_3 (CommSemiring.toSemiring.{u3} A _inst_4) _inst_7)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max u4 u3, u1, u4, u3} (AlgHom.{u1, u4, u3} S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7) S R A (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4))) (Module.toDistribMulAction.{u1, u4} S R (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (Algebra.toModule.{u1, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) _inst_6)) (Module.toDistribMulAction.{u1, u3} S A (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))) (Algebra.toModule.{u1, u3} S A _inst_3 (CommSemiring.toSemiring.{u3} A _inst_4) _inst_7)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u1, u4, u3, max u4 u3} S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7 (AlgHom.{u1, u4, u3} S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7) (AlgHom.algHomClass.{u1, u4, u3} S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7))))) g x)
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.aeval_tower_algebra_map MvPolynomial.aevalTower_algebraMapₓ'. -/
 @[simp]
 theorem aevalTower_algebraMap (x : R) : aevalTower g y (algebraMap R (MvPolynomial σ R) x) = g x :=
-  eval₂_c _ _ _
+  eval₂_C _ _ _
 #align mv_polynomial.aeval_tower_algebra_map MvPolynomial.aevalTower_algebraMap
 
+/- warning: mv_polynomial.aeval_tower_comp_algebra_map -> MvPolynomial.aevalTower_comp_algebraMap is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {S : Type.{u3}} {A : Type.{u4}} [_inst_3 : CommSemiring.{u3} S] [_inst_4 : CommSemiring.{u4} A] [_inst_6 : Algebra.{u3, u1} S R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_1)] [_inst_7 : Algebra.{u3, u4} S A _inst_3 (CommSemiring.toSemiring.{u4} A _inst_4)] (g : AlgHom.{u3, u1, u4} S R A _inst_3 (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u4} A _inst_4) _inst_6 _inst_7) (y : σ -> A), Eq.{max (succ u1) (succ u4)} (RingHom.{u1, u4} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u4} A (CommSemiring.toSemiring.{u4} A _inst_4))) (RingHom.comp.{u1, max u2 u1, u4} R (MvPolynomial.{u2, u1} σ R _inst_1) A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u4} A (CommSemiring.toSemiring.{u4} A _inst_4)) ((fun (a : Sort.{max (succ (max u2 u1)) (succ u4)}) (b : Sort.{max (succ (max u2 u1)) (succ u4)}) [self : HasLiftT.{max (succ (max u2 u1)) (succ u4), max (succ (max u2 u1)) (succ u4)} a b] => self.0) (AlgHom.{u3, max u2 u1, u4} S (MvPolynomial.{u2, u1} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u4} A _inst_4) (MvPolynomial.algebra.{u3, u1, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) (RingHom.{max u2 u1, u4} (MvPolynomial.{u2, u1} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u4} A (CommSemiring.toSemiring.{u4} A _inst_4))) (HasLiftT.mk.{max (succ (max u2 u1)) (succ u4), max (succ (max u2 u1)) (succ u4)} (AlgHom.{u3, max u2 u1, u4} S (MvPolynomial.{u2, u1} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u4} A _inst_4) (MvPolynomial.algebra.{u3, u1, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) (RingHom.{max u2 u1, u4} (MvPolynomial.{u2, u1} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u4} A (CommSemiring.toSemiring.{u4} A _inst_4))) (CoeTCₓ.coe.{max (succ (max u2 u1)) (succ u4), max (succ (max u2 u1)) (succ u4)} (AlgHom.{u3, max u2 u1, u4} S (MvPolynomial.{u2, u1} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u4} A _inst_4) (MvPolynomial.algebra.{u3, u1, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) (RingHom.{max u2 u1, u4} (MvPolynomial.{u2, u1} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u4} A (CommSemiring.toSemiring.{u4} A _inst_4))) (RingHom.hasCoeT.{max (max u2 u1) u4, max u2 u1, u4} (AlgHom.{u3, max u2 u1, u4} S (MvPolynomial.{u2, u1} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u4} A _inst_4) (MvPolynomial.algebra.{u3, u1, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) (MvPolynomial.{u2, u1} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u4} A (CommSemiring.toSemiring.{u4} A _inst_4)) (AlgHomClass.toRingHomClass.{max (max u2 u1) u4, u3, max u2 u1, u4} (AlgHom.{u3, max u2 u1, u4} S (MvPolynomial.{u2, u1} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u4} A _inst_4) (MvPolynomial.algebra.{u3, u1, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) S (MvPolynomial.{u2, u1} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u4} A _inst_4) (MvPolynomial.algebra.{u3, u1, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7 (AlgHom.algHomClass.{u3, max u2 u1, u4} S (MvPolynomial.{u2, u1} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u4} A _inst_4) (MvPolynomial.algebra.{u3, u1, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7))))) (MvPolynomial.aevalTower.{u1, u2, u3, u4} R σ _inst_1 S A _inst_3 _inst_4 _inst_6 _inst_7 g y)) (algebraMap.{u1, max u2 u1} R (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)))) ((fun (a : Sort.{max (succ u1) (succ u4)}) (b : Sort.{max (succ u1) (succ u4)}) [self : HasLiftT.{max (succ u1) (succ u4), max (succ u1) (succ u4)} a b] => self.0) (AlgHom.{u3, u1, u4} S R A _inst_3 (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u4} A _inst_4) _inst_6 _inst_7) (RingHom.{u1, u4} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u4} A (CommSemiring.toSemiring.{u4} A _inst_4))) (HasLiftT.mk.{max (succ u1) (succ u4), max (succ u1) (succ u4)} (AlgHom.{u3, u1, u4} S R A _inst_3 (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u4} A _inst_4) _inst_6 _inst_7) (RingHom.{u1, u4} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u4} A (CommSemiring.toSemiring.{u4} A _inst_4))) (CoeTCₓ.coe.{max (succ u1) (succ u4), max (succ u1) (succ u4)} (AlgHom.{u3, u1, u4} S R A _inst_3 (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u4} A _inst_4) _inst_6 _inst_7) (RingHom.{u1, u4} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u4} A (CommSemiring.toSemiring.{u4} A _inst_4))) (RingHom.hasCoeT.{max u1 u4, u1, u4} (AlgHom.{u3, u1, u4} S R A _inst_3 (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u4} A _inst_4) _inst_6 _inst_7) R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u4} A (CommSemiring.toSemiring.{u4} A _inst_4)) (AlgHomClass.toRingHomClass.{max u1 u4, u3, u1, u4} (AlgHom.{u3, u1, u4} S R A _inst_3 (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u4} A _inst_4) _inst_6 _inst_7) S R A _inst_3 (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u4} A _inst_4) _inst_6 _inst_7 (AlgHom.algHomClass.{u3, u1, u4} S R A _inst_3 (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u4} A _inst_4) _inst_6 _inst_7))))) g)
+but is expected to have type
+  forall {R : Type.{u4}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u4} R] {S : Type.{u1}} {A : Type.{u3}} [_inst_3 : CommSemiring.{u1} S] [_inst_4 : CommSemiring.{u3} A] [_inst_6 : Algebra.{u1, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1)] [_inst_7 : Algebra.{u1, u3} S A _inst_3 (CommSemiring.toSemiring.{u3} A _inst_4)] (g : AlgHom.{u1, u4, u3} S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7) (y : σ -> A), Eq.{max (succ u4) (succ u3)} (RingHom.{u4, u3} R A (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4))) (RingHom.comp.{u4, max u4 u2, u3} R (MvPolynomial.{u2, u4} σ R _inst_1) A (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)) (RingHomClass.toRingHom.{max (max u4 u2) u3, max u4 u2, u3} (AlgHom.{u1, max u4 u2, u3} S (MvPolynomial.{u2, u4} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u3} A _inst_4) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) (MvPolynomial.{u2, u4} σ R _inst_1) A (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))) (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)) (AlgHomClass.toRingHomClass.{max (max u4 u2) u3, u1, max u4 u2, u3} (AlgHom.{u1, max u4 u2, u3} S (MvPolynomial.{u2, u4} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u3} A _inst_4) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) S (MvPolynomial.{u2, u4} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u3} A _inst_4) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7 (AlgHom.algHomClass.{u1, max u4 u2, u3} S (MvPolynomial.{u2, u4} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u3} A _inst_4) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7)) (MvPolynomial.aevalTower.{u4, u2, u1, u3} R σ _inst_1 S A _inst_3 _inst_4 _inst_6 _inst_7 g y)) (algebraMap.{u4, max u4 u2} R (MvPolynomial.{u2, u4} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (MvPolynomial.algebra.{u4, u4, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u4} R _inst_1)))) (RingHomClass.toRingHom.{max u4 u3, u4, u3} (AlgHom.{u1, u4, u3} S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7) R A (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)) (AlgHomClass.toRingHomClass.{max u4 u3, u1, u4, u3} (AlgHom.{u1, u4, u3} S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7) S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7 (AlgHom.algHomClass.{u1, u4, u3} S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7)) g)
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.aeval_tower_comp_algebra_map MvPolynomial.aevalTower_comp_algebraMapₓ'. -/
 @[simp]
 theorem aevalTower_comp_algebraMap :
     (aevalTower g y : MvPolynomial σ R →+* A).comp (algebraMap R (MvPolynomial σ R)) = g :=
-  aevalTower_comp_c _ _
+  aevalTower_comp_C _ _
 #align mv_polynomial.aeval_tower_comp_algebra_map MvPolynomial.aevalTower_comp_algebraMap
 
+/- warning: mv_polynomial.aeval_tower_to_alg_hom -> MvPolynomial.aevalTower_toAlgHom is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {S : Type.{u3}} {A : Type.{u4}} [_inst_3 : CommSemiring.{u3} S] [_inst_4 : CommSemiring.{u4} A] [_inst_6 : Algebra.{u3, u1} S R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_1)] [_inst_7 : Algebra.{u3, u4} S A _inst_3 (CommSemiring.toSemiring.{u4} A _inst_4)] (g : AlgHom.{u3, u1, u4} S R A _inst_3 (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u4} A _inst_4) _inst_6 _inst_7) (y : σ -> A) (x : R), Eq.{succ u4} A (coeFn.{max (succ (max u2 u1)) (succ u4), max (succ (max u2 u1)) (succ u4)} (AlgHom.{u3, max u2 u1, u4} S (MvPolynomial.{u2, u1} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u4} A _inst_4) (MvPolynomial.algebra.{u3, u1, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) (fun (_x : AlgHom.{u3, max u2 u1, u4} S (MvPolynomial.{u2, u1} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u4} A _inst_4) (MvPolynomial.algebra.{u3, u1, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) => (MvPolynomial.{u2, u1} σ R _inst_1) -> A) ([anonymous].{u3, max u2 u1, u4} S (MvPolynomial.{u2, u1} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u4} A _inst_4) (MvPolynomial.algebra.{u3, u1, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) (MvPolynomial.aevalTower.{u1, u2, u3, u4} R σ _inst_1 S A _inst_3 _inst_4 _inst_6 _inst_7 g y) (coeFn.{max (succ u1) (succ (max u2 u1)), max (succ u1) (succ (max u2 u1))} (AlgHom.{u3, u1, max u2 u1} S R (MvPolynomial.{u2, u1} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) _inst_6 (MvPolynomial.algebra.{u3, u1, u2} S R σ _inst_3 _inst_1 _inst_6)) (fun (_x : AlgHom.{u3, u1, max u2 u1} S R (MvPolynomial.{u2, u1} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) _inst_6 (MvPolynomial.algebra.{u3, u1, u2} S R σ _inst_3 _inst_1 _inst_6)) => R -> (MvPolynomial.{u2, u1} σ R _inst_1)) ([anonymous].{u3, u1, max u2 u1} S R (MvPolynomial.{u2, u1} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) _inst_6 (MvPolynomial.algebra.{u3, u1, u2} S R σ _inst_3 _inst_1 _inst_6)) (IsScalarTower.toAlgHom.{u3, u1, max u2 u1} S R (MvPolynomial.{u2, u1} σ R _inst_1) _inst_3 _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) _inst_6 (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) (MvPolynomial.algebra.{u3, u1, u2} S R σ _inst_3 _inst_1 _inst_6) (MvPolynomial.isScalarTower.{u3, u1, u1, u2} S R R σ (MonoidWithZero.toMonoid.{u3} S (Semiring.toMonoidWithZero.{u3} S (CommSemiring.toSemiring.{u3} S _inst_3))) (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) _inst_1 (SMulZeroClass.toHasSmul.{u3, u1} S R (AddZeroClass.toHasZero.{u1} R (AddMonoid.toAddZeroClass.{u1} R (AddCommMonoid.toAddMonoid.{u1} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))))) (SMulWithZero.toSmulZeroClass.{u3, u1} S R (MulZeroClass.toHasZero.{u3} S (MulZeroOneClass.toMulZeroClass.{u3} S (MonoidWithZero.toMulZeroOneClass.{u3} S (Semiring.toMonoidWithZero.{u3} S (CommSemiring.toSemiring.{u3} S _inst_3))))) (AddZeroClass.toHasZero.{u1} R (AddMonoid.toAddZeroClass.{u1} R (AddCommMonoid.toAddMonoid.{u1} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))))) (MulActionWithZero.toSMulWithZero.{u3, u1} S R (Semiring.toMonoidWithZero.{u3} S (CommSemiring.toSemiring.{u3} S _inst_3)) (AddZeroClass.toHasZero.{u1} R (AddMonoid.toAddZeroClass.{u1} R (AddCommMonoid.toAddMonoid.{u1} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))))) (Module.toMulActionWithZero.{u3, u1} S R (CommSemiring.toSemiring.{u3} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (Algebra.toModule.{u3, u1} S R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_1) _inst_6))))) (Module.toDistribMulAction.{u3, u1} S R (CommSemiring.toSemiring.{u3} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (Algebra.toModule.{u3, u1} S R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_1) _inst_6)) (Module.toDistribMulAction.{u1, u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (IsScalarTower.right.{u3, u1} S R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_1) _inst_6))) x)) (coeFn.{max (succ u1) (succ u4), max (succ u1) (succ u4)} (AlgHom.{u3, u1, u4} S R A _inst_3 (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u4} A _inst_4) _inst_6 _inst_7) (fun (_x : AlgHom.{u3, u1, u4} S R A _inst_3 (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u4} A _inst_4) _inst_6 _inst_7) => R -> A) ([anonymous].{u3, u1, u4} S R A _inst_3 (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u4} A _inst_4) _inst_6 _inst_7) g x)
+but is expected to have type
+  forall {R : Type.{u4}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u4} R] {S : Type.{u1}} {A : Type.{u3}} [_inst_3 : CommSemiring.{u1} S] [_inst_4 : CommSemiring.{u3} A] [_inst_6 : Algebra.{u1, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1)] [_inst_7 : Algebra.{u1, u3} S A _inst_3 (CommSemiring.toSemiring.{u3} A _inst_4)] (g : AlgHom.{u1, u4, u3} S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7) (y : σ -> A) (x : R), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u2, u4} σ R _inst_1) => A) (FunLike.coe.{max (succ u4) (succ u2), succ u4, max (succ u4) (succ u2)} (AlgHom.{u1, u4, max u4 u2} S R (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) _inst_6 (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6)) R (fun (a : R) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : R) => MvPolynomial.{u2, u4} σ R _inst_1) a) (SMulHomClass.toFunLike.{max u4 u2, u1, u4, max u4 u2} (AlgHom.{u1, u4, max u4 u2} S R (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) _inst_6 (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6)) S R (MvPolynomial.{u2, u4} σ R _inst_1) (SMulZeroClass.toSMul.{u1, u4} S R (AddMonoid.toZero.{u4} R (AddCommMonoid.toAddMonoid.{u4} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))))) (DistribSMul.toSMulZeroClass.{u1, u4} S R (AddMonoid.toAddZeroClass.{u4} R (AddCommMonoid.toAddMonoid.{u4} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))))) (DistribMulAction.toDistribSMul.{u1, u4} S R (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (AddCommMonoid.toAddMonoid.{u4} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))))) (Module.toDistribMulAction.{u1, u4} S R (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (Algebra.toModule.{u1, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) _inst_6))))) (SMulZeroClass.toSMul.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (AddMonoid.toZero.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))))) (DistribSMul.toSMulZeroClass.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))))) (DistribMulAction.toDistribSMul.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (AddCommMonoid.toAddMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))))) (Module.toDistribMulAction.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))) (Algebra.toModule.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6)))))) (DistribMulActionHomClass.toSMulHomClass.{max u4 u2, u1, u4, max u4 u2} (AlgHom.{u1, u4, max u4 u2} S R (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) _inst_6 (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6)) S R (MvPolynomial.{u2, u4} σ R _inst_1) (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (AddCommMonoid.toAddMonoid.{u4} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))))) (AddCommMonoid.toAddMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))))) (Module.toDistribMulAction.{u1, u4} S R (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (Algebra.toModule.{u1, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) _inst_6)) (Module.toDistribMulAction.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))) (Algebra.toModule.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6))) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max u4 u2, u1, u4, max u4 u2} (AlgHom.{u1, u4, max u4 u2} S R (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) _inst_6 (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6)) S R (MvPolynomial.{u2, u4} σ R _inst_1) (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))) (Module.toDistribMulAction.{u1, u4} S R (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (Algebra.toModule.{u1, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) _inst_6)) (Module.toDistribMulAction.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))) (Algebra.toModule.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6))) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u1, u4, max u4 u2, max u4 u2} S R (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) _inst_6 (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) (AlgHom.{u1, u4, max u4 u2} S R (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) _inst_6 (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6)) (AlgHom.algHomClass.{u1, u4, max u4 u2} S R (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) _inst_6 (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6)))))) (IsScalarTower.toAlgHom.{u1, u4, max u4 u2} S R (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 _inst_1 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) _inst_6 (MvPolynomial.algebra.{u4, u4, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u4} R _inst_1)) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) (MvPolynomial.isScalarTower.{u1, u4, u4, u2} S R R σ (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (MonoidWithZero.toMonoid.{u4} R (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) _inst_1 (Algebra.toSMul.{u1, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) _inst_6) (Module.toDistribMulAction.{u1, u4} S R (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (Algebra.toModule.{u1, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) _inst_6)) (Module.toDistribMulAction.{u4, u4} R R (CommSemiring.toSemiring.{u4} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (Semiring.toModule.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (IsScalarTower.right.{u1, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) _inst_6))) x)) (FunLike.coe.{max (max (succ u4) (succ u2)) (succ u3), max (succ u4) (succ u2), succ u3} (AlgHom.{u1, max u4 u2, u3} S (MvPolynomial.{u2, u4} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u3} A _inst_4) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) (MvPolynomial.{u2, u4} σ R _inst_1) (fun (_x : MvPolynomial.{u2, u4} σ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : MvPolynomial.{u2, u4} σ R _inst_1) => A) _x) (SMulHomClass.toFunLike.{max (max u4 u2) u3, u1, max u4 u2, u3} (AlgHom.{u1, max u4 u2, u3} S (MvPolynomial.{u2, u4} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u3} A _inst_4) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) S (MvPolynomial.{u2, u4} σ R _inst_1) A (SMulZeroClass.toSMul.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (AddMonoid.toZero.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))))) (DistribSMul.toSMulZeroClass.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))))) (DistribMulAction.toDistribSMul.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (AddCommMonoid.toAddMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))))) (Module.toDistribMulAction.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))) (Algebra.toModule.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6)))))) (SMulZeroClass.toSMul.{u1, u3} S A (AddMonoid.toZero.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))))) (DistribSMul.toSMulZeroClass.{u1, u3} S A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))))) (DistribMulAction.toDistribSMul.{u1, u3} S A (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4))))) (Module.toDistribMulAction.{u1, u3} S A (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))) (Algebra.toModule.{u1, u3} S A _inst_3 (CommSemiring.toSemiring.{u3} A _inst_4) _inst_7))))) (DistribMulActionHomClass.toSMulHomClass.{max (max u4 u2) u3, u1, max u4 u2, u3} (AlgHom.{u1, max u4 u2, u3} S (MvPolynomial.{u2, u4} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u3} A _inst_4) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) S (MvPolynomial.{u2, u4} σ R _inst_1) A (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (AddCommMonoid.toAddMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))))) (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4))))) (Module.toDistribMulAction.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))) (Algebra.toModule.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6))) (Module.toDistribMulAction.{u1, u3} S A (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))) (Algebra.toModule.{u1, u3} S A _inst_3 (CommSemiring.toSemiring.{u3} A _inst_4) _inst_7)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max (max u4 u2) u3, u1, max u4 u2, u3} (AlgHom.{u1, max u4 u2, u3} S (MvPolynomial.{u2, u4} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u3} A _inst_4) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) S (MvPolynomial.{u2, u4} σ R _inst_1) A (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4))) (Module.toDistribMulAction.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))) (Algebra.toModule.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6))) (Module.toDistribMulAction.{u1, u3} S A (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))) (Algebra.toModule.{u1, u3} S A _inst_3 (CommSemiring.toSemiring.{u3} A _inst_4) _inst_7)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u1, max u4 u2, u3, max (max u4 u2) u3} S (MvPolynomial.{u2, u4} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u3} A _inst_4) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7 (AlgHom.{u1, max u4 u2, u3} S (MvPolynomial.{u2, u4} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u3} A _inst_4) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7) (AlgHom.algHomClass.{u1, max u4 u2, u3} S (MvPolynomial.{u2, u4} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u3} A _inst_4) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7))))) (MvPolynomial.aevalTower.{u4, u2, u1, u3} R σ _inst_1 S A _inst_3 _inst_4 _inst_6 _inst_7 g y) (FunLike.coe.{max (succ u4) (succ u2), succ u4, max (succ u4) (succ u2)} (AlgHom.{u1, u4, max u4 u2} S R (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) _inst_6 (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : R) => MvPolynomial.{u2, u4} σ R _inst_1) _x) (SMulHomClass.toFunLike.{max u4 u2, u1, u4, max u4 u2} (AlgHom.{u1, u4, max u4 u2} S R (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) _inst_6 (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6)) S R (MvPolynomial.{u2, u4} σ R _inst_1) (SMulZeroClass.toSMul.{u1, u4} S R (AddMonoid.toZero.{u4} R (AddCommMonoid.toAddMonoid.{u4} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))))) (DistribSMul.toSMulZeroClass.{u1, u4} S R (AddMonoid.toAddZeroClass.{u4} R (AddCommMonoid.toAddMonoid.{u4} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))))) (DistribMulAction.toDistribSMul.{u1, u4} S R (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (AddCommMonoid.toAddMonoid.{u4} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))))) (Module.toDistribMulAction.{u1, u4} S R (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (Algebra.toModule.{u1, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) _inst_6))))) (SMulZeroClass.toSMul.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (AddMonoid.toZero.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))))) (DistribSMul.toSMulZeroClass.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))))) (DistribMulAction.toDistribSMul.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (AddCommMonoid.toAddMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))))) (Module.toDistribMulAction.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))) (Algebra.toModule.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6)))))) (DistribMulActionHomClass.toSMulHomClass.{max u4 u2, u1, u4, max u4 u2} (AlgHom.{u1, u4, max u4 u2} S R (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) _inst_6 (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6)) S R (MvPolynomial.{u2, u4} σ R _inst_1) (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (AddCommMonoid.toAddMonoid.{u4} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))))) (AddCommMonoid.toAddMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))))) (Module.toDistribMulAction.{u1, u4} S R (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (Algebra.toModule.{u1, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) _inst_6)) (Module.toDistribMulAction.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))) (Algebra.toModule.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6))) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max u4 u2, u1, u4, max u4 u2} (AlgHom.{u1, u4, max u4 u2} S R (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) _inst_6 (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6)) S R (MvPolynomial.{u2, u4} σ R _inst_1) (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)))) (Module.toDistribMulAction.{u1, u4} S R (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (Algebra.toModule.{u1, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) _inst_6)) (Module.toDistribMulAction.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1))))) (Algebra.toModule.{u1, max u4 u2} S (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6))) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u1, u4, max u4 u2, max u4 u2} S R (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) _inst_6 (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) (AlgHom.{u1, u4, max u4 u2} S R (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) _inst_6 (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6)) (AlgHom.algHomClass.{u1, u4, max u4 u2} S R (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) _inst_6 (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6)))))) (IsScalarTower.toAlgHom.{u1, u4, max u4 u2} S R (MvPolynomial.{u2, u4} σ R _inst_1) _inst_3 _inst_1 (CommSemiring.toSemiring.{max u4 u2} (MvPolynomial.{u2, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R σ _inst_1)) _inst_6 (MvPolynomial.algebra.{u4, u4, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u4} R _inst_1)) (MvPolynomial.algebra.{u1, u4, u2} S R σ _inst_3 _inst_1 _inst_6) (MvPolynomial.isScalarTower.{u1, u4, u4, u2} S R R σ (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (MonoidWithZero.toMonoid.{u4} R (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) _inst_1 (Algebra.toSMul.{u1, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) _inst_6) (Module.toDistribMulAction.{u1, u4} S R (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (Algebra.toModule.{u1, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) _inst_6)) (Module.toDistribMulAction.{u4, u4} R R (CommSemiring.toSemiring.{u4} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (Semiring.toModule.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (IsScalarTower.right.{u1, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) _inst_6))) x)) (FunLike.coe.{max (succ u4) (succ u3), succ u4, succ u3} (AlgHom.{u1, u4, u3} S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : R) => A) _x) (SMulHomClass.toFunLike.{max u4 u3, u1, u4, u3} (AlgHom.{u1, u4, u3} S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7) S R A (SMulZeroClass.toSMul.{u1, u4} S R (AddMonoid.toZero.{u4} R (AddCommMonoid.toAddMonoid.{u4} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))))) (DistribSMul.toSMulZeroClass.{u1, u4} S R (AddMonoid.toAddZeroClass.{u4} R (AddCommMonoid.toAddMonoid.{u4} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))))) (DistribMulAction.toDistribSMul.{u1, u4} S R (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (AddCommMonoid.toAddMonoid.{u4} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))))) (Module.toDistribMulAction.{u1, u4} S R (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (Algebra.toModule.{u1, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) _inst_6))))) (SMulZeroClass.toSMul.{u1, u3} S A (AddMonoid.toZero.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))))) (DistribSMul.toSMulZeroClass.{u1, u3} S A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))))) (DistribMulAction.toDistribSMul.{u1, u3} S A (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4))))) (Module.toDistribMulAction.{u1, u3} S A (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))) (Algebra.toModule.{u1, u3} S A _inst_3 (CommSemiring.toSemiring.{u3} A _inst_4) _inst_7))))) (DistribMulActionHomClass.toSMulHomClass.{max u4 u3, u1, u4, u3} (AlgHom.{u1, u4, u3} S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7) S R A (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (AddCommMonoid.toAddMonoid.{u4} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))))) (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4))))) (Module.toDistribMulAction.{u1, u4} S R (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (Algebra.toModule.{u1, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) _inst_6)) (Module.toDistribMulAction.{u1, u3} S A (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))) (Algebra.toModule.{u1, u3} S A _inst_3 (CommSemiring.toSemiring.{u3} A _inst_4) _inst_7)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max u4 u3, u1, u4, u3} (AlgHom.{u1, u4, u3} S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7) S R A (MonoidWithZero.toMonoid.{u1} S (Semiring.toMonoidWithZero.{u1} S (CommSemiring.toSemiring.{u1} S _inst_3))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4))) (Module.toDistribMulAction.{u1, u4} S R (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (Algebra.toModule.{u1, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) _inst_6)) (Module.toDistribMulAction.{u1, u3} S A (CommSemiring.toSemiring.{u1} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_4)))) (Algebra.toModule.{u1, u3} S A _inst_3 (CommSemiring.toSemiring.{u3} A _inst_4) _inst_7)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u1, u4, u3, max u4 u3} S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7 (AlgHom.{u1, u4, u3} S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7) (AlgHom.algHomClass.{u1, u4, u3} S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7))))) g x)
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.aeval_tower_to_alg_hom MvPolynomial.aevalTower_toAlgHomₓ'. -/
 theorem aevalTower_toAlgHom (x : R) :
     aevalTower g y (IsScalarTower.toAlgHom S R (MvPolynomial σ R) x) = g x :=
   aevalTower_algebraMap _ _ _
 #align mv_polynomial.aeval_tower_to_alg_hom MvPolynomial.aevalTower_toAlgHom
 
+/- warning: mv_polynomial.aeval_tower_comp_to_alg_hom -> MvPolynomial.aevalTower_comp_toAlgHom is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {σ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {S : Type.{u3}} {A : Type.{u4}} [_inst_3 : CommSemiring.{u3} S] [_inst_4 : CommSemiring.{u4} A] [_inst_6 : Algebra.{u3, u1} S R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_1)] [_inst_7 : Algebra.{u3, u4} S A _inst_3 (CommSemiring.toSemiring.{u4} A _inst_4)] (g : AlgHom.{u3, u1, u4} S R A _inst_3 (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u4} A _inst_4) _inst_6 _inst_7) (y : σ -> A), Eq.{max (succ u1) (succ u4)} (AlgHom.{u3, u1, u4} S R A _inst_3 (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u4} A _inst_4) _inst_6 _inst_7) (AlgHom.comp.{u3, u1, max u2 u1, u4} S R (MvPolynomial.{u2, u1} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (CommSemiring.toSemiring.{u4} A _inst_4) _inst_6 (MvPolynomial.algebra.{u3, u1, u2} S R σ _inst_3 _inst_1 _inst_6) _inst_7 (MvPolynomial.aevalTower.{u1, u2, u3, u4} R σ _inst_1 S A _inst_3 _inst_4 _inst_6 _inst_7 g y) (IsScalarTower.toAlgHom.{u3, u1, max u2 u1} S R (MvPolynomial.{u2, u1} σ R _inst_1) _inst_3 _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) _inst_6 (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)) (MvPolynomial.algebra.{u3, u1, u2} S R σ _inst_3 _inst_1 _inst_6) (MvPolynomial.isScalarTower.{u3, u1, u1, u2} S R R σ (MonoidWithZero.toMonoid.{u3} S (Semiring.toMonoidWithZero.{u3} S (CommSemiring.toSemiring.{u3} S _inst_3))) (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) _inst_1 (SMulZeroClass.toHasSmul.{u3, u1} S R (AddZeroClass.toHasZero.{u1} R (AddMonoid.toAddZeroClass.{u1} R (AddCommMonoid.toAddMonoid.{u1} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))))) (SMulWithZero.toSmulZeroClass.{u3, u1} S R (MulZeroClass.toHasZero.{u3} S (MulZeroOneClass.toMulZeroClass.{u3} S (MonoidWithZero.toMulZeroOneClass.{u3} S (Semiring.toMonoidWithZero.{u3} S (CommSemiring.toSemiring.{u3} S _inst_3))))) (AddZeroClass.toHasZero.{u1} R (AddMonoid.toAddZeroClass.{u1} R (AddCommMonoid.toAddMonoid.{u1} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))))) (MulActionWithZero.toSMulWithZero.{u3, u1} S R (Semiring.toMonoidWithZero.{u3} S (CommSemiring.toSemiring.{u3} S _inst_3)) (AddZeroClass.toHasZero.{u1} R (AddMonoid.toAddZeroClass.{u1} R (AddCommMonoid.toAddMonoid.{u1} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))))) (Module.toMulActionWithZero.{u3, u1} S R (CommSemiring.toSemiring.{u3} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (Algebra.toModule.{u3, u1} S R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_1) _inst_6))))) (Module.toDistribMulAction.{u3, u1} S R (CommSemiring.toSemiring.{u3} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (Algebra.toModule.{u3, u1} S R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_1) _inst_6)) (Module.toDistribMulAction.{u1, u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (IsScalarTower.right.{u3, u1} S R _inst_3 (CommSemiring.toSemiring.{u1} R _inst_1) _inst_6)))) g
+but is expected to have type
+  forall {R : Type.{u4}} {σ : Type.{u1}} [_inst_1 : CommSemiring.{u4} R] {S : Type.{u2}} {A : Type.{u3}} [_inst_3 : CommSemiring.{u2} S] [_inst_4 : CommSemiring.{u3} A] [_inst_6 : Algebra.{u2, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1)] [_inst_7 : Algebra.{u2, u3} S A _inst_3 (CommSemiring.toSemiring.{u3} A _inst_4)] (g : AlgHom.{u2, u4, u3} S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7) (y : σ -> A), Eq.{max (succ u4) (succ u3)} (AlgHom.{u2, u4, u3} S R A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 _inst_7) (AlgHom.comp.{u2, u4, max u4 u1, u3} S R (MvPolynomial.{u1, u4} σ R _inst_1) A _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u1} R σ _inst_1)) (CommSemiring.toSemiring.{u3} A _inst_4) _inst_6 (MvPolynomial.algebra.{u2, u4, u1} S R σ _inst_3 _inst_1 _inst_6) _inst_7 (MvPolynomial.aevalTower.{u4, u1, u2, u3} R σ _inst_1 S A _inst_3 _inst_4 _inst_6 _inst_7 g y) (IsScalarTower.toAlgHom.{u2, u4, max u4 u1} S R (MvPolynomial.{u1, u4} σ R _inst_1) _inst_3 _inst_1 (CommSemiring.toSemiring.{max u4 u1} (MvPolynomial.{u1, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u1} R σ _inst_1)) _inst_6 (MvPolynomial.algebra.{u4, u4, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u4} R _inst_1)) (MvPolynomial.algebra.{u2, u4, u1} S R σ _inst_3 _inst_1 _inst_6) (MvPolynomial.isScalarTower.{u2, u4, u4, u1} S R R σ (MonoidWithZero.toMonoid.{u2} S (Semiring.toMonoidWithZero.{u2} S (CommSemiring.toSemiring.{u2} S _inst_3))) (MonoidWithZero.toMonoid.{u4} R (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) _inst_1 (Algebra.toSMul.{u2, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) _inst_6) (Module.toDistribMulAction.{u2, u4} S R (CommSemiring.toSemiring.{u2} S _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (Algebra.toModule.{u2, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) _inst_6)) (Module.toDistribMulAction.{u4, u4} R R (CommSemiring.toSemiring.{u4} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (Semiring.toModule.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (IsScalarTower.right.{u2, u4} S R _inst_3 (CommSemiring.toSemiring.{u4} R _inst_1) _inst_6)))) g
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.aeval_tower_comp_to_alg_hom MvPolynomial.aevalTower_comp_toAlgHomₓ'. -/
 @[simp]
 theorem aevalTower_comp_toAlgHom :
     (aevalTower g y).comp (IsScalarTower.toAlgHom S R (MvPolynomial σ R)) = g :=
   AlgHom.coe_ringHom_injective <| aevalTower_comp_algebraMap _ _
 #align mv_polynomial.aeval_tower_comp_to_alg_hom MvPolynomial.aevalTower_comp_toAlgHom
 
+/- warning: mv_polynomial.aeval_tower_id -> MvPolynomial.aevalTower_id is a dubious translation:
+lean 3 declaration is
+  forall {σ : Type.{u1}} {S : Type.{u2}} [_inst_3 : CommSemiring.{u2} S], Eq.{max (max (succ u1) (succ u2)) (succ (max u1 u2)) (succ u2)} ((σ -> S) -> (AlgHom.{u2, max u1 u2, u2} S (MvPolynomial.{u1, u2} σ S _inst_3) S _inst_3 (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ S _inst_3) (MvPolynomial.commSemiring.{u2, u1} S σ _inst_3)) (CommSemiring.toSemiring.{u2} S _inst_3) (MvPolynomial.algebra.{u2, u2, u1} S S σ _inst_3 _inst_3 (Algebra.id.{u2} S _inst_3)) (Algebra.id.{u2} S _inst_3))) (MvPolynomial.aevalTower.{u2, u1, u2, u2} S σ _inst_3 S S _inst_3 _inst_3 (Algebra.id.{u2} S _inst_3) (Algebra.id.{u2} S _inst_3) (AlgHom.id.{u2, u2} S S _inst_3 (CommSemiring.toSemiring.{u2} S _inst_3) (Algebra.id.{u2} S _inst_3))) (MvPolynomial.aeval.{u2, u2, u1} S S σ _inst_3 _inst_3 (Algebra.id.{u2} S _inst_3))
+but is expected to have type
+  forall {σ : Type.{u2}} {S : Type.{u1}} [_inst_3 : CommSemiring.{u1} S], Eq.{max (succ u2) (succ u1)} ((σ -> S) -> (AlgHom.{u1, max u1 u2, u1} S (MvPolynomial.{u2, u1} σ S _inst_3) S _inst_3 (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u2, u1} σ S _inst_3) (MvPolynomial.commSemiring.{u1, u2} S σ _inst_3)) (CommSemiring.toSemiring.{u1} S _inst_3) (MvPolynomial.algebra.{u1, u1, u2} S S σ _inst_3 _inst_3 (Algebra.id.{u1} S _inst_3)) (Algebra.id.{u1} S _inst_3))) (MvPolynomial.aevalTower.{u1, u2, u1, u1} S σ _inst_3 S S _inst_3 _inst_3 (Algebra.id.{u1} S _inst_3) (Algebra.id.{u1} S _inst_3) (AlgHom.id.{u1, u1} S S _inst_3 (CommSemiring.toSemiring.{u1} S _inst_3) (Algebra.id.{u1} S _inst_3))) (MvPolynomial.aeval.{u1, u1, u2} S S σ _inst_3 _inst_3 (Algebra.id.{u1} S _inst_3))
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.aeval_tower_id MvPolynomial.aevalTower_idₓ'. -/
 @[simp]
 theorem aevalTower_id : aevalTower (AlgHom.id S S) = (aeval : (σ → S) → MvPolynomial σ S →ₐ[S] S) :=
   by
@@ -1601,6 +2849,12 @@ theorem aevalTower_id : aevalTower (AlgHom.id S S) = (aeval : (σ → S) → MvP
   simp only [aeval_tower_X, aeval_X]
 #align mv_polynomial.aeval_tower_id MvPolynomial.aevalTower_id
 
+/- warning: mv_polynomial.aeval_tower_of_id -> MvPolynomial.aevalTower_ofId is a dubious translation:
+lean 3 declaration is
+  forall {σ : Type.{u1}} {S : Type.{u2}} {A : Type.{u3}} [_inst_3 : CommSemiring.{u2} S] [_inst_4 : CommSemiring.{u3} A] [_inst_7 : Algebra.{u2, u3} S A _inst_3 (CommSemiring.toSemiring.{u3} A _inst_4)], Eq.{max (max (succ u1) (succ u3)) (succ (max u1 u2)) (succ u3)} ((σ -> A) -> (AlgHom.{u2, max u1 u2, u3} S (MvPolynomial.{u1, u2} σ S _inst_3) A _inst_3 (CommSemiring.toSemiring.{max u1 u2} (MvPolynomial.{u1, u2} σ S _inst_3) (MvPolynomial.commSemiring.{u2, u1} S σ _inst_3)) (CommSemiring.toSemiring.{u3} A _inst_4) (MvPolynomial.algebra.{u2, u2, u1} S S σ _inst_3 _inst_3 (Algebra.id.{u2} S _inst_3)) _inst_7)) (MvPolynomial.aevalTower.{u2, u1, u2, u3} S σ _inst_3 S A _inst_3 _inst_4 (Algebra.id.{u2} S _inst_3) _inst_7 (Algebra.ofId.{u2, u3} S A _inst_3 (CommSemiring.toSemiring.{u3} A _inst_4) _inst_7)) (MvPolynomial.aeval.{u2, u3, u1} S A σ _inst_3 _inst_4 _inst_7)
+but is expected to have type
+  forall {σ : Type.{u3}} {S : Type.{u2}} {A : Type.{u1}} [_inst_3 : CommSemiring.{u2} S] [_inst_4 : CommSemiring.{u1} A] [_inst_7 : Algebra.{u2, u1} S A _inst_3 (CommSemiring.toSemiring.{u1} A _inst_4)], Eq.{max (max (succ u3) (succ u2)) (succ u1)} ((σ -> A) -> (AlgHom.{u2, max u2 u3, u1} S (MvPolynomial.{u3, u2} σ S _inst_3) A _inst_3 (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u3, u2} σ S _inst_3) (MvPolynomial.commSemiring.{u2, u3} S σ _inst_3)) (CommSemiring.toSemiring.{u1} A _inst_4) (MvPolynomial.algebra.{u2, u2, u3} S S σ _inst_3 _inst_3 (Algebra.id.{u2} S _inst_3)) _inst_7)) (MvPolynomial.aevalTower.{u2, u3, u2, u1} S σ _inst_3 S A _inst_3 _inst_4 (Algebra.id.{u2} S _inst_3) _inst_7 (Algebra.ofId.{u2, u1} S A _inst_3 (CommSemiring.toSemiring.{u1} A _inst_4) _inst_7)) (MvPolynomial.aeval.{u2, u1, u3} S A σ _inst_3 _inst_4 _inst_7)
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.aeval_tower_of_id MvPolynomial.aevalTower_ofIdₓ'. -/
 @[simp]
 theorem aevalTower_ofId :
     aevalTower (Algebra.ofId S A) = (aeval : (σ → A) → MvPolynomial σ S →ₐ[S] A) :=

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

@@ -729,7 +729,7 @@ theorem coeff_mul_monomial' (m) (s : σ →₀ ℕ) (r : R) (p : MvPolynomial σ
     coeff m (p * monomial s r) = if s ≤ m then coeff (m - s) p * r else 0 :=
   by
   obtain rfl | hr := eq_or_ne r 0
-  · simp only [monomial_zero, coeff_zero, mul_zero, if_t_t]
+  · simp only [monomial_zero, coeff_zero, MulZeroClass.mul_zero, if_t_t]
   haveI : Nontrivial R := nontrivial_of_ne _ _ hr
   split_ifs with h h
   · conv_rhs => rw [← coeff_mul_monomial _ s]
@@ -806,7 +806,7 @@ theorem c_dvd_iff_dvd_coeff (r : R) (φ : MvPolynomial σ R) : c r ∣ φ ↔ 
       split_ifs with hi hi
       · rw [hc]
       · rw [not_mem_support_iff] at hi
-        rwa [mul_zero]
+        rwa [MulZeroClass.mul_zero]
 #align mv_polynomial.C_dvd_iff_dvd_coeff MvPolynomial.c_dvd_iff_dvd_coeff
 
 end Coeff
@@ -1504,7 +1504,7 @@ theorem eval₂Hom_eq_zero (f : R →+* S₂) (g : σ → S₂) (φ : MvPolynomi
   rw [φ.as_sum, RingHom.map_sum, Finset.sum_eq_zero]
   intro d hd
   obtain ⟨i, hi, hgi⟩ : ∃ i ∈ d.support, g i = 0 := h d (finsupp.mem_support_iff.mp hd)
-  rw [eval₂_hom_monomial, Finsupp.prod, Finset.prod_eq_zero hi, mul_zero]
+  rw [eval₂_hom_monomial, Finsupp.prod, Finset.prod_eq_zero hi, MulZeroClass.mul_zero]
   rw [hgi, zero_pow]
   rwa [pos_iff_ne_zero, ← Finsupp.mem_support_iff]
 #align mv_polynomial.eval₂_hom_eq_zero MvPolynomial.eval₂Hom_eq_zero

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

@@ -544,7 +544,7 @@ section Coeff
 
 /-- The coefficient of the monomial `m` in the multi-variable polynomial `p`. -/
 def coeff (m : σ →₀ ℕ) (p : MvPolynomial σ R) : R :=
-  @coeFn _ _ (MonoidAlgebra.hasCoeToFun _ _) p m
+  @coeFn _ _ (MonoidAlgebra.coeFun _ _) p m
 #align mv_polynomial.coeff MvPolynomial.coeff
 
 @[simp]

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

• Adds lemma Polynomial.algebraMap_eq analogous to MvPolynomial.algebraMap_eq
  • Adds some namespace disambiguations in various places to make this possible
• Adds simp to these, and the related {Mv}Polynomial.algebraMap_apply lemmas.
  • Removes simp tag from later lemmas which linter says these additions now allow to be simp-proved

Co-authored-by: Floris van Doorn <fpvdoorn@gmail.com>

@@ -178,6 +178,7 @@ def C : R →+* MvPolynomial σ R :=
 
 variable (R σ)
 
+@[simp]
 theorem algebraMap_eq : algebraMap R (MvPolynomial σ R) = C :=
   rfl
 #align mv_polynomial.algebra_map_eq MvPolynomial.algebraMap_eq
@@ -931,7 +932,6 @@ theorem constantCoeff_comp_C : constantCoeff.comp (C : R →+* MvPolynomial σ R
   exact constantCoeff_C σ x
 #align mv_polynomial.constant_coeff_comp_C MvPolynomial.constantCoeff_comp_C
 
-@[simp]
 theorem constantCoeff_comp_algebraMap :
     constantCoeff.comp (algebraMap R (MvPolynomial σ R)) = RingHom.id R :=
   constantCoeff_comp_C _ _
@@ -1459,6 +1459,7 @@ section Aeval
 variable [Algebra R S₁] [CommSemiring S₂]
 variable (f : σ → S₁)
 
+@[simp]
 theorem algebraMap_apply (r : R) : algebraMap R (MvPolynomial σ S₁) r = C (algebraMap R S₁ r) := rfl
 #align mv_polynomial.algebra_map_apply MvPolynomial.algebraMap_apply
 
@@ -1642,12 +1643,10 @@ theorem aevalTower_comp_C : (aevalTower g y : MvPolynomial σ R →+* A).comp C
   RingHom.ext <| aevalTower_C _ _
 #align mv_polynomial.aeval_tower_comp_C MvPolynomial.aevalTower_comp_C
 
-@[simp]
 theorem aevalTower_algebraMap (x : R) : aevalTower g y (algebraMap R (MvPolynomial σ R) x) = g x :=
   eval₂_C _ _ _
 #align mv_polynomial.aeval_tower_algebra_map MvPolynomial.aevalTower_algebraMap
 
-@[simp]
 theorem aevalTower_comp_algebraMap :
     (aevalTower g y : MvPolynomial σ R →+* A).comp (algebraMap R (MvPolynomial σ R)) = g :=
   aevalTower_comp_C _ _

Refactors the proof of this lemma. Adds a simp lemma to do this, and also adds MvPolynomial analogue

@@ -833,6 +833,10 @@ theorem support_eq_empty {p : MvPolynomial σ R} : p.support = ∅ ↔ p = 0 :=
   Finsupp.support_eq_empty
 #align mv_polynomial.support_eq_empty MvPolynomial.support_eq_empty
 
+@[simp]
+lemma support_nonempty {p : MvPolynomial σ R} : p.support.Nonempty ↔ p ≠ 0 := by
+  rw [Finset.nonempty_iff_ne_empty, ne_eq, support_eq_empty]
+
 theorem exists_coeff_ne_zero {p : MvPolynomial σ R} (h : p ≠ 0) : ∃ d, coeff d p ≠ 0 :=
   ne_zero_iff.mp h
 #align mv_polynomial.exists_coeff_ne_zero MvPolynomial.exists_coeff_ne_zero

and reduce its scope in a few other instances. Mostly in CategoryTheory and Data this time; some Combinatorics also.

Co-authored-by: Richard Osborn <richardosborn@mac.com>

@@ -70,8 +70,6 @@ polynomial, multivariate polynomial, multivariable polynomial
 
 -/
 
-set_option autoImplicit true
-
 noncomputable section
 
 open Set Function Finsupp AddMonoidAlgebra
@@ -505,7 +503,8 @@ theorem algHom_ext {A : Type*} [Semiring A] [Algebra R A] {f g : MvPolynomial σ
 #align mv_polynomial.alg_hom_ext MvPolynomial.algHom_ext
 
 @[simp]
-theorem algHom_C (f : MvPolynomial σ R →ₐ[R] MvPolynomial τ R) (r : R) : f (C r) = C r :=
+theorem algHom_C {τ : Type*} (f : MvPolynomial σ R →ₐ[R] MvPolynomial τ R) (r : R) :
+    f (C r) = C r :=
   f.commutes r
 #align mv_polynomial.alg_hom_C MvPolynomial.algHom_C
 
@@ -1207,11 +1206,11 @@ theorem eval_assoc {τ} (f : σ → MvPolynomial τ R) (g : τ → R) (p : MvPol
 #align mv_polynomial.eval_assoc MvPolynomial.eval_assoc
 
 @[simp]
-theorem eval₂_id (p : MvPolynomial σ R) : eval₂ (RingHom.id _) g p = eval g p :=
+theorem eval₂_id {g : σ → R} (p : MvPolynomial σ R) : eval₂ (RingHom.id _) g p = eval g p :=
   rfl
 #align mv_polynomial.eval₂_id MvPolynomial.eval₂_id
 
-theorem eval_eval₂ [CommSemiring R] [CommSemiring S]
+theorem eval_eval₂ {S τ : Type*} {x : τ → S} [CommSemiring R] [CommSemiring S]
     (f : R →+* MvPolynomial τ S) (g : σ → MvPolynomial τ S) (p : MvPolynomial σ R) :
     eval x (eval₂ f g p) = eval₂ ((eval x).comp f) (fun s => eval x (g s)) p := by
   apply induction_on p

Purely automatic replacement. If this is in any way controversial; I'm happy to just close this PR.

@@ -429,7 +429,7 @@ theorem induction_on' {P : MvPolynomial σ R → Prop} (p : MvPolynomial σ R)
     fun a b f _ha _hb hPf => h2 _ _ (h1 _ _) hPf
 #align mv_polynomial.induction_on' MvPolynomial.induction_on'
 
-/-- Similar to `MvPolynomial.induction_on` but only a weak form of `h_add` is required.-/
+/-- Similar to `MvPolynomial.induction_on` but only a weak form of `h_add` is required. -/
 theorem induction_on''' {M : MvPolynomial σ R → Prop} (p : MvPolynomial σ R) (h_C : ∀ a, M (C a))
     (h_add_weak :
       ∀ (a : σ →₀ ℕ) (b : R) (f : (σ →₀ ℕ) →₀ R),
@@ -439,7 +439,7 @@ theorem induction_on''' {M : MvPolynomial σ R → Prop} (p : MvPolynomial σ R)
   Finsupp.induction p (C_0.rec <| h_C 0) h_add_weak
 #align mv_polynomial.induction_on''' MvPolynomial.induction_on'''
 
-/-- Similar to `MvPolynomial.induction_on` but only a yet weaker form of `h_add` is required.-/
+/-- Similar to `MvPolynomial.induction_on` but only a yet weaker form of `h_add` is required. -/
 theorem induction_on'' {M : MvPolynomial σ R → Prop} (p : MvPolynomial σ R) (h_C : ∀ a, M (C a))
     (h_add_weak :
       ∀ (a : σ →₀ ℕ) (b : R) (f : (σ →₀ ℕ) →₀ R),
@@ -451,7 +451,7 @@ theorem induction_on'' {M : MvPolynomial σ R → Prop} (p : MvPolynomial σ R)
     h_add_weak a b f ha hb hf <| induction_on_monomial h_C h_X a b
 #align mv_polynomial.induction_on'' MvPolynomial.induction_on''
 
-/-- Analog of `Polynomial.induction_on`.-/
+/-- Analog of `Polynomial.induction_on`. -/
 @[recursor 5]
 theorem induction_on {M : MvPolynomial σ R → Prop} (p : MvPolynomial σ R) (h_C : ∀ a, M (C a))
     (h_add : ∀ p q, M p → M q → M (p + q)) (h_X : ∀ p n, M p → M (p * X n)) : M p :=

@@ -761,7 +761,7 @@ theorem support_smul_eq {S₁ : Type*} [Semiring S₁] [Module S₁ R] [NoZeroSM
 theorem support_sdiff_support_subset_support_add [DecidableEq σ] (p q : MvPolynomial σ R) :
     p.support \ q.support ⊆ (p + q).support := by
   intro m hm
-  simp only [Classical.not_not, mem_support_iff, Finset.mem_sdiff, Ne.def] at hm
+  simp only [Classical.not_not, mem_support_iff, Finset.mem_sdiff, Ne] at hm
   simp [hm.2, hm.1]
 #align mv_polynomial.support_sdiff_support_subset_support_add MvPolynomial.support_sdiff_support_subset_support_add
 
@@ -817,7 +817,7 @@ theorem eq_zero_iff {p : MvPolynomial σ R} : p = 0 ↔ ∀ d, coeff d p = 0 :=
 #align mv_polynomial.eq_zero_iff MvPolynomial.eq_zero_iff
 
 theorem ne_zero_iff {p : MvPolynomial σ R} : p ≠ 0 ↔ ∃ d, coeff d p ≠ 0 := by
-  rw [Ne.def, eq_zero_iff]
+  rw [Ne, eq_zero_iff]
   push_neg
   rfl
 #align mv_polynomial.ne_zero_iff MvPolynomial.ne_zero_iff

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

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

where the latter is more natural

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

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

but it seems to no longer apply.

Remarks on the PR :

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

@@ -411,7 +411,7 @@ theorem induction_on_monomial {M : MvPolynomial σ R → Prop} (h_C : ∀ a, M (
       intro e
       induction e with
       | zero => simp [ih]
-      | succ e e_ih => simp [ih, pow_succ', (mul_assoc _ _ _).symm, h_X, e_ih]
+      | succ e e_ih => simp [ih, pow_succ, (mul_assoc _ _ _).symm, h_X, e_ih]
     simp [add_comm, monomial_add_single, this]
 #align mv_polynomial.induction_on_monomial MvPolynomial.induction_on_monomial
 

Cherry-picked from #9607 Co-authored-by: @semorrison

@@ -1124,13 +1124,13 @@ theorem eval₂_congr (g₁ g₂ : σ → S₁)
 
 theorem eval₂_sum (s : Finset S₂) (p : S₂ → MvPolynomial σ R) :
     eval₂ f g (∑ x in s, p x) = ∑ x in s, eval₂ f g (p x) :=
-  (eval₂Hom f g).map_sum _ s
+  map_sum (eval₂Hom f g) _ s
 #align mv_polynomial.eval₂_sum MvPolynomial.eval₂_sum
 
 @[to_additive existing (attr := simp)]
 theorem eval₂_prod (s : Finset S₂) (p : S₂ → MvPolynomial σ R) :
     eval₂ f g (∏ x in s, p x) = ∏ x in s, eval₂ f g (p x) :=
-  (eval₂Hom f g).map_prod _ s
+  map_prod (eval₂Hom f g) _ s
 #align mv_polynomial.eval₂_prod MvPolynomial.eval₂_prod
 
 theorem eval₂_assoc (q : S₂ → MvPolynomial σ R) (p : MvPolynomial S₂ R) :
@@ -1190,13 +1190,13 @@ theorem eval_pow : ∀ n, eval f (p ^ n) = eval f p ^ n :=
 
 theorem eval_sum {ι : Type*} (s : Finset ι) (f : ι → MvPolynomial σ R) (g : σ → R) :
     eval g (∑ i in s, f i) = ∑ i in s, eval g (f i) :=
-  (eval g).map_sum _ _
+  map_sum (eval g) _ _
 #align mv_polynomial.eval_sum MvPolynomial.eval_sum
 
 @[to_additive existing]
 theorem eval_prod {ι : Type*} (s : Finset ι) (f : ι → MvPolynomial σ R) (g : σ → R) :
     eval g (∏ i in s, f i) = ∏ i in s, eval g (f i) :=
-  (eval g).map_prod _ _
+  map_prod (eval g) _ _
 #align mv_polynomial.eval_prod MvPolynomial.eval_prod
 
 theorem eval_assoc {τ} (f : σ → MvPolynomial τ R) (g : τ → R) (p : MvPolynomial σ R) :

Generalizes algHom_C to work over polynomials of different variable types. Adds related lemma killCompl_C using this. Also removes simp tags from a few lemmas that are made redundant by this.

@@ -505,7 +505,7 @@ theorem algHom_ext {A : Type*} [Semiring A] [Algebra R A] {f g : MvPolynomial σ
 #align mv_polynomial.alg_hom_ext MvPolynomial.algHom_ext
 
 @[simp]
-theorem algHom_C (f : MvPolynomial σ R →ₐ[R] MvPolynomial σ R) (r : R) : f (C r) = C r :=
+theorem algHom_C (f : MvPolynomial σ R →ₐ[R] MvPolynomial τ R) (r : R) : f (C r) = C r :=
   f.commutes r
 #align mv_polynomial.alg_hom_C MvPolynomial.algHom_C
 

Empty lines were removed by executing the following Python script twice

import os
import re


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

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

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

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

@@ -899,7 +899,6 @@ theorem constantCoeff_C (r : R) : constantCoeff (C r : MvPolynomial σ R) = r :=
 #align mv_polynomial.constant_coeff_C MvPolynomial.constantCoeff_C
 
 variable {σ}
-
 variable (R)
 
 @[simp]
@@ -1455,7 +1454,6 @@ section Aeval
 
 
 variable [Algebra R S₁] [CommSemiring S₂]
-
 variable (f : σ → S₁)
 
 theorem algebraMap_apply (r : R) : algebraMap R (MvPolynomial σ S₁) r = C (algebraMap R S₁ r) := rfl
@@ -1614,7 +1612,6 @@ end Aeval
 section AevalTower
 
 variable {S A B : Type*} [CommSemiring S] [CommSemiring A] [CommSemiring B]
-
 variable [Algebra S R] [Algebra S A] [Algebra S B]
 
 /-- Version of `aeval` for defining algebra homs out of `MvPolynomial σ R` over a smaller base ring

Homogenises porting notes via capitalisation and addition of whitespace.

It makes the following changes:

• converts "--porting note" into "-- Porting note";
• converts "porting note" into "Porting note".

@@ -89,7 +89,7 @@ def MvPolynomial (σ : Type*) (R : Type*) [CommSemiring R] :=
 
 namespace MvPolynomial
 
--- porting note: because of `MvPolynomial.C` and `MvPolynomial.X` this linter throws
+-- Porting note: because of `MvPolynomial.C` and `MvPolynomial.X` this linter throws
 -- tons of warnings in this file, and it's easier to just disable them globally in the file
 set_option linter.uppercaseLean3 false
 
@@ -216,7 +216,7 @@ theorem C_1 : C 1 = (1 : MvPolynomial σ R) :=
 #align mv_polynomial.C_1 MvPolynomial.C_1
 
 theorem C_mul_monomial : C a * monomial s a' = monomial s (a * a') := by
-  -- porting note: this `show` feels like defeq abuse, but I can't find the appropriate lemmas
+  -- Porting note: this `show` feels like defeq abuse, but I can't find the appropriate lemmas
   show AddMonoidAlgebra.single _ _ * AddMonoidAlgebra.single _ _ = AddMonoidAlgebra.single _ _
   simp [C_apply, single_mul_single]
 #align mv_polynomial.C_mul_monomial MvPolynomial.C_mul_monomial
@@ -435,7 +435,7 @@ theorem induction_on''' {M : MvPolynomial σ R → Prop} (p : MvPolynomial σ R)
       ∀ (a : σ →₀ ℕ) (b : R) (f : (σ →₀ ℕ) →₀ R),
         a ∉ f.support → b ≠ 0 → M f → M ((show (σ →₀ ℕ) →₀ R from monomial a b) + f)) :
     M p :=
-    -- porting note: I had to add the `show ... from ...` above, a type ascription was insufficient.
+    -- Porting note: I had to add the `show ... from ...` above, a type ascription was insufficient.
   Finsupp.induction p (C_0.rec <| h_C 0) h_add_weak
 #align mv_polynomial.induction_on''' MvPolynomial.induction_on'''
 
@@ -446,7 +446,7 @@ theorem induction_on'' {M : MvPolynomial σ R → Prop} (p : MvPolynomial σ R)
         a ∉ f.support → b ≠ 0 → M f → M (monomial a b) →
           M ((show (σ →₀ ℕ) →₀ R from monomial a b) + f))
     (h_X : ∀ (p : MvPolynomial σ R) (n : σ), M p → M (p * MvPolynomial.X n)) : M p :=
-    -- porting note: I had to add the `show ... from ...` above, a type ascription was insufficient.
+    -- Porting note: I had to add the `show ... from ...` above, a type ascription was insufficient.
   induction_on''' p h_C fun a b f ha hb hf =>
     h_add_weak a b f ha hb hf <| induction_on_monomial h_C h_X a b
 #align mv_polynomial.induction_on'' MvPolynomial.induction_on''
@@ -461,12 +461,12 @@ theorem induction_on {M : MvPolynomial σ R → Prop} (p : MvPolynomial σ R) (h
 theorem ringHom_ext {A : Type*} [Semiring A] {f g : MvPolynomial σ R →+* A}
     (hC : ∀ r, f (C r) = g (C r)) (hX : ∀ i, f (X i) = g (X i)) : f = g := by
   refine AddMonoidAlgebra.ringHom_ext' ?_ ?_
-  -- porting note: this has high priority, but Lean still chooses `RingHom.ext`, why?
+  -- Porting note: this has high priority, but Lean still chooses `RingHom.ext`, why?
   -- probably because of the type synonym
   · ext x
     exact hC _
   · apply Finsupp.mulHom_ext'; intros x
-    -- porting note: `Finsupp.mulHom_ext'` needs to have increased priority
+    -- Porting note: `Finsupp.mulHom_ext'` needs to have increased priority
     apply MonoidHom.ext_mnat
     exact hX _
 #align mv_polynomial.ring_hom_ext MvPolynomial.ringHom_ext
@@ -540,7 +540,7 @@ theorem support_monomial [h : Decidable (a = 0)] :
     (monomial s a).support = if a = 0 then ∅ else {s} := by
   rw [← Subsingleton.elim (Classical.decEq R a 0) h]
   rfl
-  -- porting note: the proof in Lean 3 wasn't fundamentally better and needed `by convert rfl`
+  -- Porting note: the proof in Lean 3 wasn't fundamentally better and needed `by convert rfl`
   -- the issue is the different decidability instances in the `ite` expressions
 #align mv_polynomial.support_monomial MvPolynomial.support_monomial
 
@@ -584,7 +584,7 @@ section Coeff
 /-- The coefficient of the monomial `m` in the multi-variable polynomial `p`. -/
 def coeff (m : σ →₀ ℕ) (p : MvPolynomial σ R) : R :=
   @DFunLike.coe ((σ →₀ ℕ) →₀ R) _ _ _ p m
-  -- porting note: I changed this from `@CoeFun.coe _ _ (MonoidAlgebra.coeFun _ _) p m` because
+  -- Porting note: I changed this from `@CoeFun.coe _ _ (MonoidAlgebra.coeFun _ _) p m` because
   -- I think it should work better syntactically. They are defeq.
 #align mv_polynomial.coeff MvPolynomial.coeff
 
@@ -1267,7 +1267,7 @@ theorem eval₂_eq_eval_map (g : σ → S₁) (p : MvPolynomial σ R) : p.eval
   unfold map eval; simp only [coe_eval₂Hom]
 
   have h := eval₂_comp_left (eval₂Hom (RingHom.id S₁) g) (C.comp f) X p
-  -- porting note: the Lean 3 version of `h` was full of metavariables which
+  -- Porting note: the Lean 3 version of `h` was full of metavariables which
   -- were later unified during `rw [h]`. Also needed to add `-eval₂_id`.
   dsimp [-eval₂_id] at h
   rw [h]
@@ -1429,7 +1429,7 @@ def mapAlgHom [CommSemiring S₂] [Algebra R S₁] [Algebra R S₂] (f : S₁ 
       have h₁ : algebraMap R (MvPolynomial σ S₁) r = C (algebraMap R S₁ r) := rfl
       have h₂ : algebraMap R (MvPolynomial σ S₂) r = C (algebraMap R S₂ r) := rfl
       simp_rw [OneHom.toFun_eq_coe]
-      -- porting note: we're missing some `simp` lemmas like `MonoidHom.coe_toOneHom`
+      -- Porting note: we're missing some `simp` lemmas like `MonoidHom.coe_toOneHom`
       change @DFunLike.coe (_ →+* _) _ _ _ _ _ = _
       rw [h₁, h₂, map, eval₂Hom_C, RingHom.comp_apply, AlgHom.coe_toRingHom, AlgHom.commutes] }
 #align mv_polynomial.map_alg_hom MvPolynomial.mapAlgHom

Adds lemma about product of variables equalling a monomial

@@ -396,6 +396,10 @@ theorem monomial_eq : monomial s a = C a * (s.prod fun n e => X n ^ e : MvPolyno
   simp only [X_pow_eq_monomial, ← monomial_finsupp_sum_index, Finsupp.sum_single]
 #align mv_polynomial.monomial_eq MvPolynomial.monomial_eq
 
+@[simp]
+lemma prod_X_pow_eq_monomial : ∏ x in s.support, X x ^ s x = monomial s (1 : R) := by
+  simp only [monomial_eq, map_one, one_mul, Finsupp.prod]
+
 theorem induction_on_monomial {M : MvPolynomial σ R → Prop} (h_C : ∀ a, M (C a))
     (h_X : ∀ p n, M p → M (p * X n)) : ∀ s a, M (monomial s a) := by
   intro s a

Proves that a variable is not the zero polynomial, analogous to Polynomial.X_ne_zero.

@@ -818,6 +818,13 @@ theorem ne_zero_iff {p : MvPolynomial σ R} : p ≠ 0 ↔ ∃ d, coeff d p ≠ 0
   rfl
 #align mv_polynomial.ne_zero_iff MvPolynomial.ne_zero_iff
 
+@[simp]
+theorem X_ne_zero [Nontrivial R] (s : σ) :
+    X (R := R) s ≠ 0 := by
+  rw [ne_zero_iff]
+  use Finsupp.single s 1
+  simp only [coeff_X, ne_eq, one_ne_zero, not_false_eq_true]
+
 @[simp]
 theorem support_eq_empty {p : MvPolynomial σ R} : p.support = ∅ ↔ p = 0 :=
   Finsupp.support_eq_empty

This adds the inst prefix that is expected in Lean 4.

Performed using the F2 shortcut (renaming foo to Finsupp.instFoo, then deleting the redundant Finsupp)

All the changes to downstream files are fallout, no names have been changed there.

@@ -101,7 +101,7 @@ section Instances
 
 instance decidableEqMvPolynomial [CommSemiring R] [DecidableEq σ] [DecidableEq R] :
     DecidableEq (MvPolynomial σ R) :=
-  Finsupp.decidableEq
+  Finsupp.instDecidableEq
 #align mv_polynomial.decidable_eq_mv_polynomial MvPolynomial.decidableEqMvPolynomial
 
 instance commSemiring [CommSemiring R] : CommSemiring (MvPolynomial σ R) :=

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

@@ -840,7 +840,7 @@ theorem C_dvd_iff_dvd_coeff (r : R) (φ : MvPolynomial σ R) : C r ∣ φ ↔ 
       use ψ
       apply MvPolynomial.ext
       intro i
-      simp only [coeff_C_mul, coeff_sum, coeff_monomial, Finset.sum_ite_eq']
+      simp only [ψ, c', coeff_C_mul, coeff_sum, coeff_monomial, Finset.sum_ite_eq']
       split_ifs with hi
       · rw [hc]
       · rw [not_mem_support_iff] at hi

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

@@ -206,11 +206,11 @@ theorem C_apply : (C a : MvPolynomial σ R) = monomial 0 a :=
   rfl
 #align mv_polynomial.C_apply MvPolynomial.C_apply
 
--- porting note: `simp` can prove this
+-- Porting note (#10618): `simp` can prove this
 theorem C_0 : C 0 = (0 : MvPolynomial σ R) := map_zero _
 #align mv_polynomial.C_0 MvPolynomial.C_0
 
--- porting note: `simp` can prove this
+-- Porting note (#10618): `simp` can prove this
 theorem C_1 : C 1 = (1 : MvPolynomial σ R) :=
   rfl
 #align mv_polynomial.C_1 MvPolynomial.C_1
@@ -221,17 +221,17 @@ theorem C_mul_monomial : C a * monomial s a' = monomial s (a * a') := by
   simp [C_apply, single_mul_single]
 #align mv_polynomial.C_mul_monomial MvPolynomial.C_mul_monomial
 
--- porting note: `simp` can prove this
+-- Porting note (#10618): `simp` can prove this
 theorem C_add : (C (a + a') : MvPolynomial σ R) = C a + C a' :=
   Finsupp.single_add _ _ _
 #align mv_polynomial.C_add MvPolynomial.C_add
 
--- porting note: `simp` can prove this
+-- Porting note (#10618): `simp` can prove this
 theorem C_mul : (C (a * a') : MvPolynomial σ R) = C a * C a' :=
   C_mul_monomial.symm
 #align mv_polynomial.C_mul MvPolynomial.C_mul
 
--- porting note: `simp` can prove this
+-- Porting note (#10618): `simp` can prove this
 theorem C_pow (a : R) (n : ℕ) : (C (a ^ n) : MvPolynomial σ R) = C a ^ n :=
   map_pow _ _ _
 #align mv_polynomial.C_pow MvPolynomial.C_pow
@@ -345,7 +345,7 @@ theorem C_mul_X_eq_monomial {s : σ} {a : R} : C a * X s = monomial (Finsupp.sin
   rw [← C_mul_X_pow_eq_monomial, pow_one]
 #align mv_polynomial.C_mul_X_eq_monomial MvPolynomial.C_mul_X_eq_monomial
 
--- porting note: `simp` can prove this
+-- Porting note (#10618): `simp` can prove this
 theorem monomial_zero {s : σ →₀ ℕ} : monomial s (0 : R) = 0 :=
   Finsupp.single_zero _
 #align mv_polynomial.monomial_zero MvPolynomial.monomial_zero

No changes to tactic file, it's just boring fixes throughout the library.

This follows on from #6964.

Co-authored-by: sgouezel <sebastien.gouezel@univ-rennes1.fr> Co-authored-by: Eric Wieser <wieser.eric@gmail.com>

@@ -848,8 +848,8 @@ theorem C_dvd_iff_dvd_coeff (r : R) (φ : MvPolynomial σ R) : C r ∣ φ ↔ 
 #align mv_polynomial.C_dvd_iff_dvd_coeff MvPolynomial.C_dvd_iff_dvd_coeff
 
 @[simp] lemma isRegular_X : IsRegular (X n : MvPolynomial σ R) := by
-  suffices : IsLeftRegular (X n : MvPolynomial σ R)
-  · exact ⟨this, this.right_of_commute <| Commute.all _⟩
+  suffices IsLeftRegular (X n : MvPolynomial σ R) from
+    ⟨this, this.right_of_commute <| Commute.all _⟩
   intro P Q (hPQ : (X n) * P = (X n) * Q)
   ext i
   rw [← coeff_X_mul i n P, hPQ, coeff_X_mul i n Q]
@@ -1677,26 +1677,26 @@ theorem eval₂_mem {f : R →+* S} {p : MvPolynomial σ R} {s : subS}
     (hs : ∀ i ∈ p.support, f (p.coeff i) ∈ s) {v : σ → S} (hv : ∀ i, v i ∈ s) :
     MvPolynomial.eval₂ f v p ∈ s := by
   classical
-    replace hs : ∀ i, f (p.coeff i) ∈ s
-    · intro i
-      by_cases hi : i ∈ p.support
-      · exact hs i hi
-      · rw [MvPolynomial.not_mem_support_iff.1 hi, f.map_zero]
-        exact zero_mem s
-    induction' p using MvPolynomial.induction_on''' with a a b f ha _ ih
-    · simpa using hs 0
-    rw [eval₂_add, eval₂_monomial]
-    refine' add_mem (mul_mem _ <| prod_mem fun i _ => pow_mem (hv _) _) (ih fun i => _)
-    · have := hs a -- Porting note: was `simpa only [...]`
-      rwa [coeff_add, MvPolynomial.not_mem_support_iff.1 ha, add_zero, coeff_monomial,
-        if_pos rfl] at this
-    have := hs i
-    rw [coeff_add, coeff_monomial] at this
-    split_ifs at this with h
-    · subst h
-      rw [MvPolynomial.not_mem_support_iff.1 ha, map_zero]
-      exact zero_mem _
-    · rwa [zero_add] at this
+  replace hs : ∀ i, f (p.coeff i) ∈ s := by
+    intro i
+    by_cases hi : i ∈ p.support
+    · exact hs i hi
+    · rw [MvPolynomial.not_mem_support_iff.1 hi, f.map_zero]
+      exact zero_mem s
+  induction' p using MvPolynomial.induction_on''' with a a b f ha _ ih
+  · simpa using hs 0
+  rw [eval₂_add, eval₂_monomial]
+  refine' add_mem (mul_mem _ <| prod_mem fun i _ => pow_mem (hv _) _) (ih fun i => _)
+  · have := hs a -- Porting note: was `simpa only [...]`
+    rwa [coeff_add, MvPolynomial.not_mem_support_iff.1 ha, add_zero, coeff_monomial,
+      if_pos rfl] at this
+  have := hs i
+  rw [coeff_add, coeff_monomial] at this
+  split_ifs at this with h
+  · subst h
+    rw [MvPolynomial.not_mem_support_iff.1 ha, map_zero]
+    exact zero_mem _
+  · rwa [zero_add] at this
 #align mv_polynomial.eval₂_mem MvPolynomial.eval₂_mem
 
 theorem eval_mem {p : MvPolynomial σ S} {s : subS} (hs : ∀ i ∈ p.support, p.coeff i ∈ s) {v : σ → S}

@@ -255,6 +255,10 @@ theorem C_inj {σ : Type*} (R : Type*) [CommSemiring R] (r s : R) :
   (C_injective σ R).eq_iff
 #align mv_polynomial.C_inj MvPolynomial.C_inj
 
+instance nontrivial_of_nontrivial (σ : Type*) (R : Type*) [CommSemiring R] [Nontrivial R] :
+    Nontrivial (MvPolynomial σ R) :=
+  inferInstanceAs (Nontrivial <| AddMonoidAlgebra R (σ →₀ ℕ))
+
 instance infinite_of_infinite (σ : Type*) (R : Type*) [CommSemiring R] [Infinite R] :
     Infinite (MvPolynomial σ R) :=
   Infinite.of_injective C (C_injective _ _)

• depends on: #9830
• depends on: #9772
• depends on: #9996

This checks files for unused imports. The output here is piped through gh-problem-matcher-wrap so that it will show up as annotations.

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

@@ -4,6 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Johannes Hölzl, Johan Commelin, Mario Carneiro
 -/
 import Mathlib.Algebra.Algebra.Tower
+import Mathlib.Algebra.GroupPower.Ring
 import Mathlib.Algebra.Regular.Pow
 import Mathlib.Algebra.MonoidAlgebra.Support
 import Mathlib.Data.Finsupp.Antidiagonal

This involves moving lemmas from Algebra.GroupPower.Ring to Algebra.GroupWithZero.Basic and changing some 0 < n assumptions to n ≠ 0.

From LeanAPAP

@@ -1561,7 +1561,7 @@ theorem eval₂Hom_eq_zero (f : R →+* S₂) (g : σ → S₂) (φ : MvPolynomi
   obtain ⟨i, hi, hgi⟩ : ∃ i ∈ d.support, g i = 0 := h d (Finsupp.mem_support_iff.mp hd)
   rw [eval₂Hom_monomial, Finsupp.prod, Finset.prod_eq_zero hi, mul_zero]
   rw [hgi, zero_pow]
-  rwa [pos_iff_ne_zero, ← Finsupp.mem_support_iff]
+  rwa [← Finsupp.mem_support_iff]
 #align mv_polynomial.eval₂_hom_eq_zero MvPolynomial.eval₂Hom_eq_zero
 
 theorem aeval_eq_zero [Algebra R S₂] (f : σ → S₂) (φ : MvPolynomial σ R)

Those notations are not scoped whereas the file is very low in the import hierarchy.

@@ -756,6 +756,7 @@ theorem support_sdiff_support_subset_support_add [DecidableEq σ] (p q : MvPolyn
   simp [hm.2, hm.1]
 #align mv_polynomial.support_sdiff_support_subset_support_add MvPolynomial.support_sdiff_support_subset_support_add
 
+open scoped symmDiff in
 theorem support_symmDiff_support_subset_support_add [DecidableEq σ] (p q : MvPolynomial σ R) :
     p.support ∆ q.support ⊆ (p + q).support := by
   rw [symmDiff_def, Finset.sup_eq_union]

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

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

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

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

@@ -574,7 +574,7 @@ section Coeff
 
 /-- The coefficient of the monomial `m` in the multi-variable polynomial `p`. -/
 def coeff (m : σ →₀ ℕ) (p : MvPolynomial σ R) : R :=
-  @FunLike.coe ((σ →₀ ℕ) →₀ R) _ _ _ p m
+  @DFunLike.coe ((σ →₀ ℕ) →₀ R) _ _ _ p m
   -- porting note: I changed this from `@CoeFun.coe _ _ (MonoidAlgebra.coeFun _ _) p m` because
   -- I think it should work better syntactically. They are defeq.
 #align mv_polynomial.coeff MvPolynomial.coeff
@@ -1413,7 +1413,7 @@ def mapAlgHom [CommSemiring S₂] [Algebra R S₁] [Algebra R S₂] (f : S₁ 
       have h₂ : algebraMap R (MvPolynomial σ S₂) r = C (algebraMap R S₂ r) := rfl
       simp_rw [OneHom.toFun_eq_coe]
       -- porting note: we're missing some `simp` lemmas like `MonoidHom.coe_toOneHom`
-      change @FunLike.coe (_ →+* _) _ _ _ _ _ = _
+      change @DFunLike.coe (_ →+* _) _ _ _ _ _ = _
       rw [h₁, h₂, map, eval₂Hom_C, RingHom.comp_apply, AlgHom.coe_toRingHom, AlgHom.commutes] }
 #align mv_polynomial.map_alg_hom MvPolynomial.mapAlgHom
 

Use pointwise multiplication/addition of Finsets in MonoidAlgebra.support_mul and AddMonoidAlgebra.support_mul.

@@ -71,14 +71,10 @@ polynomial, multivariate polynomial, multivariable polynomial
 
 set_option autoImplicit true
 
-
 noncomputable section
 
-open BigOperators
-
 open Set Function Finsupp AddMonoidAlgebra
-
-open BigOperators
+open scoped BigOperators Pointwise
 
 universe u v w x
 
@@ -597,8 +593,8 @@ theorem sum_def {A} [AddCommMonoid A] {p : MvPolynomial σ R} {b : (σ →₀ 
 #align mv_polynomial.sum_def MvPolynomial.sum_def
 
 theorem support_mul [DecidableEq σ] (p q : MvPolynomial σ R) :
-    (p * q).support ⊆ p.support.biUnion fun a => q.support.biUnion fun b => {a + b} := by
-  convert AddMonoidAlgebra.support_mul p q
+    (p * q).support ⊆ p.support + q.support :=
+  AddMonoidAlgebra.support_mul p q
 #align mv_polynomial.support_mul MvPolynomial.support_mul
 
 @[ext]
@@ -772,23 +768,15 @@ theorem support_symmDiff_support_subset_support_add [DecidableEq σ] (p q : MvPo
 theorem coeff_mul_monomial' (m) (s : σ →₀ ℕ) (r : R) (p : MvPolynomial σ R) :
     coeff m (p * monomial s r) = if s ≤ m then coeff (m - s) p * r else 0 := by
   classical
-  obtain rfl | hr := eq_or_ne r 0
-  · simp only [monomial_zero, coeff_zero, mul_zero, ite_self]
-  haveI : Nontrivial R := nontrivial_of_ne _ _ hr
   split_ifs with h
   · conv_rhs => rw [← coeff_mul_monomial _ s]
     congr with t
     rw [tsub_add_cancel_of_le h]
-  · rw [← not_mem_support_iff]
-    intro hm
-    apply h
-    have H := support_mul _ _ hm
-    simp only [Finset.mem_biUnion] at H
-    rcases H with ⟨j, _hj, i', hi', H⟩
-    rw [support_monomial, if_neg hr, Finset.mem_singleton] at hi'
-    subst i'
-    rw [Finset.mem_singleton] at H
-    subst m
+  · contrapose! h
+    rw [← mem_support_iff] at h
+    obtain ⟨j, -, rfl⟩ : ∃ j ∈ support p, j + s = m := by
+      simpa [Finset.add_singleton]
+        using Finset.add_subset_add_left support_monomial_subset <| support_mul _ _ h
     exact le_add_left le_rfl
 #align mv_polynomial.coeff_mul_monomial' MvPolynomial.coeff_mul_monomial'
 

See Zulip thread for the discussion.

@@ -855,7 +855,7 @@ theorem C_dvd_iff_dvd_coeff (r : R) (φ : MvPolynomial σ R) : C r ∣ φ ↔ 
 
 @[simp] lemma isRegular_X : IsRegular (X n : MvPolynomial σ R) := by
   suffices : IsLeftRegular (X n : MvPolynomial σ R)
-  · exact ⟨this, this.right_of_commute $ Commute.all _⟩
+  · exact ⟨this, this.right_of_commute <| Commute.all _⟩
   intro P Q (hPQ : (X n) * P = (X n) * Q)
   ext i
   rw [← coeff_X_mul i n P, hPQ, coeff_X_mul i n Q]

This converts usages of the pattern

cases h
case inl h' => ...
case inr h' => ...

which derive from mathported code, to the "structured cases" syntax:

cases h with
| inl h' => ...
| inr h' => ...

The case where the subgoals are handled with · instead of case is more contentious (and much more numerous) so I left those alone. This pattern also appears with cases', induction, induction', and rcases. Furthermore, there is a similar transformation for by_cases:

by_cases h : cond
case pos => ...
case neg => ...

is replaced by:

if h : cond then
  ...
else
  ...

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

@@ -508,10 +508,10 @@ theorem algHom_C (f : MvPolynomial σ R →ₐ[R] MvPolynomial σ R) (r : R) : f
 theorem adjoin_range_X : Algebra.adjoin R (range (X : σ → MvPolynomial σ R)) = ⊤ := by
   set S := Algebra.adjoin R (range (X : σ → MvPolynomial σ R))
   refine' top_unique fun p hp => _; clear hp
-  induction p using MvPolynomial.induction_on
-  case h_C => exact S.algebraMap_mem _
-  case h_add p q hp hq => exact S.add_mem hp hq
-  case h_X p i hp => exact S.mul_mem hp (Algebra.subset_adjoin <| mem_range_self _)
+  induction p using MvPolynomial.induction_on with
+  | h_C => exact S.algebraMap_mem _
+  | h_add p q hp hq => exact S.add_mem hp hq
+  | h_X p i hp => exact S.mul_mem hp (Algebra.subset_adjoin <| mem_range_self _)
 #align mv_polynomial.adjoin_range_X MvPolynomial.adjoin_range_X
 
 @[ext]